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//==============================================================================
//=== sfmult_AT_XN_YT ==========================================================
//==============================================================================
// 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 m-by-k, y is k-by-n
// compare with sfmult_AT_XT_YT for kernel usage
// compare with sfmult_AT_XN_YN for outer loop structure but different kernels
#include "sfmult.h"
mxArray *sfmult_AT_XN_YT // 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 = mxGetN (X) ;
if (m != mxGetM (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 (k, n, 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_AT_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_atxtyt
//--------------------------------------------------------------------------
k1 = k % 4 ;
if (k1 == 1)
{
// Y (1,:) = (A' * X(:,1))'
sfmult_AT_xk_1 (Yx, Yz, Ap, Ai, Ax, Az, m, n, Xx, Xz, ac, xc, yc, k) ;
Yx += 1 ;
Yz += 1 ;
Xx += m ;
Xz += m ;
}
else if (k1 == 2)
{
// W = X (:,1:2)'
for (i = 0 ; i < m ; i++)
{
Wx [2*i ] = Xx [i ] ;
Wx [2*i+1] = Xx [i+m] ;
}
// Y (1:2,:) = (A' * W')'
sfmult_AT_XT_YT_2 (Yx, Yz, Ap, Ai, Ax, Az, m, n, Wx, Wz, ac, xc, yc, k);
Yx += 2 ;
Yz += 2 ;
Xx += 2*m ;
Xz += 2*m ;
}
else if (k1 == 3)
{
// W = X (:,1:3)'
for (i = 0 ; i < m ; i++)
{
Wx [4*i ] = Xx [i ] ;
Wx [4*i+1] = Xx [i+m ] ;
Wx [4*i+2] = Xx [i+2*m] ;
}
// Y (1:3,:) = (A' * W')'
sfmult_AT_XT_YT_3 (Yx, Yz, Ap, Ai, Ax, Az, m, n, Wx, Wz, ac, xc, yc, k);
Yx += 3 ;
Yz += 3 ;
Xx += 3*m ;
Xz += 3*m ;
}
for ( ; k1 < k ; k1 += 4)
{
// W = X (:,1:4)'
for (i = 0 ; i < m ; i++)
{
Wx [4*i ] = Xx [i ] ;
Wx [4*i+1] = Xx [i+m ] ;
Wx [4*i+2] = Xx [i+2*m] ;
Wx [4*i+3] = Xx [i+3*m] ;
}
// Y (k1+(1:4),:) = (A' * W')'
sfmult_AT_XT_YT_4 (Yx, Yz, Ap, Ai, Ax, Az, m, n, Wx, Wz, ac, xc, yc, k);
Yx += 4 ;
Yz += 4 ;
Xx += 4*m ;
Xz += 4*m ;
}
//--------------------------------------------------------------------------
// free workspace and return result
//--------------------------------------------------------------------------
mxFree (Wx) ;
return (Y) ;
}
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