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/*
* Copyright (c) 2002, 2017 Jens Keiner, Stefan Kunis, Daniel Potts
*
* This program is free software; you can redistribute it and/or modify it under
* the terms of the GNU General Public License as published by the Free Software
* Foundation; either version 2 of the License, or (at your option) any later
* version.
*
* This program is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along with
* this program; if not, write to the Free Software Foundation, Inc., 51
* Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#include "infft.h"
/** Computes the inner/dot product \f$x^H x\f$. */
R Y(dot_complex)(C *x, INT n)
{
INT k;
R dot;
for (k = 0, dot = K(0.0); k < n; k++)
dot += CONJ(x[k])*x[k];
return dot;
}
/** Computes the inner/dot product \f$x^H x\f$. */
R Y(dot_double)(R *x, INT n)
{
INT k;
R dot;
for (k = 0, dot = K(0.0); k < n; k++)
dot += x[k]*x[k];
return dot;
}
/** Computes the weighted inner/dot product \f$x^H (w \odot x)\f$. */
R Y(dot_w_complex)(C *x, R *w, INT n)
{
INT k;
R dot;
for (k = 0, dot = K(0.0); k < n; k++)
dot += w[k]*CONJ(x[k])*x[k];
return dot;
}
/** Computes the weighted inner/dot product \f$x^H (w \odot x)\f$. */
R Y(dot_w_double)(R *x, R *w, INT n)
{
INT k;
R dot;
for (k = 0, dot = K(0.0); k < n; k++)
dot += w[k]*x[k]*x[k];
return dot;
}
/** Computes the weighted inner/dot product \f$x^H (w\odot w2\odot w2 \odot x)\f$. */
R Y(dot_w_w2_complex)(C *x, R *w, R *w2, INT n)
{
INT k;
R dot;
for (k = 0, dot = K(0.0); k < n; k++)
dot += w[k]*w2[k]*w2[k]*CONJ(x[k])*x[k];
return dot;
}
/** Computes the weighted inner/dot product \f$x^H (w2\odot w2 \odot x)\f$. */
R Y(dot_w2_complex)(C *x, R *w2, INT n)
{
INT k;
R dot;
for (k = 0, dot = K(0.0); k < n; k++)
dot+=w2[k]*w2[k]*CONJ(x[k])*x[k];
return dot;
}
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