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//==============================================================================
//=== sfmult_anxnyt_k ==========================================================
//==============================================================================
// SFMULT, Copyright (c) 2009, Timothy A Davis. All Rights Reserved.
// SPDX-License-Identifier: BSD-3-clause
// y = (A*x)' where x has 2, 3, or 4 columns
// compare with sfmult_anxtyt_k
// sfmult_AN_XN_YT_2 y = (A*x)' where x is n-by-2, and y is 2-by-m
// sfmult_AN_XN_YT_3 y = (A*x)' where x is n-by-3, and y is 3-by-m (ldy = 4)
// sfmult_AN_XN_YT_4 y = (A*x)' where x is n-by-4, and y is 4-by-m
#include "sfmult.h"
void sfmult_AN_XN_YT_2 // y = (A*x)' x is n-by-2, and y is 2-by-m
(
// --- outputs, not initialized on input
double *Yx, // 2-by-m
double *Yz, // 2-by-m if Y is complex (TO DO)
// --- inputs, not modified
const Int *Ap, // size n+1 column pointers
const Int *Ai, // size nz = Ap[n] row indices
const double *Ax, // size nz values
const double *Az, // size nz imaginary values if A is complex (TO DO)
Int m, // A is m-by-n
Int n,
const double *Xx, // n-by-2
const double *Xz, // n-by-2 if X complex (TO DO)
int ac, // true: use conj(A), otherwise use A (TO DO)
int xc, // true: use conj(X), otherwise use X (TO DO)
int yc // true: compute conj(Y), otherwise compute Y (TO DO)
)
{
double x [2], a [2] ;
Int p, pend, j, i0, i1 ;
for (i0 = 0 ; i0 < m ; i0++)
{
Yx [2*i0 ] = 0 ;
Yx [2*i0+1] = 0 ;
}
p = 0 ;
for (j = 0 ; j < n ; j++)
{
pend = Ap [j+1] ;
x [0] = Xx [j ] ;
x [1] = Xx [j+n] ;
if ((pend - p) % 2)
{
i0 = Ai [p] ;
a [0] = Ax [p] ;
Yx [2*i0 ] += a [0] * x [0] ;
Yx [2*i0+1] += a [0] * x [1] ;
p++ ;
}
for ( ; p < pend ; p += 2)
{
i0 = Ai [p ] ;
i1 = Ai [p+1] ;
a [0] = Ax [p ] ;
a [1] = Ax [p+1] ;
Yx [2*i0 ] += a [0] * x [0] ;
Yx [2*i0+1] += a [0] * x [1] ;
Yx [2*i1 ] += a [1] * x [0] ;
Yx [2*i1+1] += a [1] * x [1] ;
}
}
}
//==============================================================================
//=== sfmult_AN_XN_YT_3 ========================================================
//==============================================================================
void sfmult_AN_XN_YT_3 // y = (A*x)' x is n-by-3, and y is 3-by-m (ldy = 4)
(
// --- outputs, not initialized on input
double *Yx, // 3-by-m
double *Yz, // 3-by-m if Y is complex (TO DO)
// --- inputs, not modified
const Int *Ap, // size n+1 column pointers
const Int *Ai, // size nz = Ap[n] row indices
const double *Ax, // size nz values
const double *Az, // size nz imaginary values if A is complex (TO DO)
Int m, // A is m-by-n
Int n,
const double *Xx, // n-by-3
const double *Xz, // n-by-3 if X complex (TO DO)
int ac, // true: use conj(A), otherwise use A (TO DO)
int xc, // true: use conj(X), otherwise use X (TO DO)
int yc // true: compute conj(Y), otherwise compute Y (TO DO)
)
{
double x [4], a [2] ;
Int p, pend, j, i0, i1 ;
for (i0 = 0 ; i0 < m ; i0++)
{
Yx [4*i0 ] = 0 ;
Yx [4*i0+1] = 0 ;
Yx [4*i0+2] = 0 ;
}
p = 0 ;
for (j = 0 ; j < n ; j++)
{
pend = Ap [j+1] ;
x [0] = Xx [j ] ;
x [1] = Xx [j+ n] ;
x [2] = Xx [j+2*n] ;
if ((pend - p) % 2)
{
i0 = Ai [p] ;
a [0] = Ax [p] ;
Yx [4*i0 ] += a [0] * x [0] ;
Yx [4*i0+1] += a [0] * x [1] ;
Yx [4*i0+2] += a [0] * x [2] ;
p++ ;
}
for ( ; p < pend ; p += 2)
{
i0 = Ai [p ] ;
i1 = Ai [p+1] ;
a [0] = Ax [p ] ;
a [1] = Ax [p+1] ;
Yx [4*i0 ] += a [0] * x [0] ;
Yx [4*i0+1] += a [0] * x [1] ;
Yx [4*i0+2] += a [0] * x [2] ;
Yx [4*i1 ] += a [1] * x [0] ;
Yx [4*i1+1] += a [1] * x [1] ;
Yx [4*i1+2] += a [1] * x [2] ;
}
}
}
//==============================================================================
//=== sfmult_AN_XN_YT_4 ========================================================
//==============================================================================
void sfmult_AN_XN_YT_4 // y = (A*x)' x is n-by-4, and y is 4-by-m
(
// --- outputs, not initialized on input
double *Yx, // 4-by-m
double *Yz, // 4-by-m if Y is complex (TO DO)
// --- inputs, not modified
const Int *Ap, // size n+1 column pointers
const Int *Ai, // size nz = Ap[n] row indices
const double *Ax, // size nz values
const double *Az, // size nz imaginary values if A is complex (TO DO)
Int m, // A is m-by-n
Int n,
const double *Xx, // n-by-4
const double *Xz, // n-by-4 if X complex (TO DO)
int ac, // true: use conj(A), otherwise use A (TO DO)
int xc, // true: use conj(X), otherwise use X (TO DO)
int yc // true: compute conj(Y), otherwise compute Y (TO DO)
)
{
double x [4], a [2] ;
Int p, pend, j, i0, i1 ;
for (i0 = 0 ; i0 < m ; i0++)
{
Yx [4*i0 ] = 0 ;
Yx [4*i0+1] = 0 ;
Yx [4*i0+2] = 0 ;
Yx [4*i0+3] = 0 ;
}
p = 0 ;
for (j = 0 ; j < n ; j++)
{
pend = Ap [j+1] ;
x [0] = Xx [j ] ;
x [1] = Xx [j+ n] ;
x [2] = Xx [j+2*n] ;
x [3] = Xx [j+3*n] ;
if ((pend - p) % 2)
{
i0 = Ai [p] ;
a [0] = Ax [p] ;
Yx [4*i0 ] += a [0] * x [0] ;
Yx [4*i0+1] += a [0] * x [1] ;
Yx [4*i0+2] += a [0] * x [2] ;
Yx [4*i0+3] += a [0] * x [3] ;
p++ ;
}
for ( ; p < pend ; p += 2)
{
i0 = Ai [p ] ;
i1 = Ai [p+1] ;
a [0] = Ax [p ] ;
a [1] = Ax [p+1] ;
Yx [4*i0 ] += a [0] * x [0] ;
Yx [4*i0+1] += a [0] * x [1] ;
Yx [4*i0+2] += a [0] * x [2] ;
Yx [4*i0+3] += a [0] * x [3] ;
Yx [4*i1 ] += a [1] * x [0] ;
Yx [4*i1+1] += a [1] * x [1] ;
Yx [4*i1+2] += a [1] * x [2] ;
Yx [4*i1+3] += a [1] * x [3] ;
}
}
}
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