error.c
/*
* 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"
static R cnrm1(const C *x, const INT n)
{
INT k;
R nrm = K(0.0);
for (k = 0; k < n; k++)
nrm += CABS(x[k]);
return nrm;
}
static R nrm1(const R *x, const INT n)
{
INT k;
R nrm = K(0.0);
for (k = 0; k < n; k++)
nrm += FABS(x[k]);
return nrm;
}
static R cerr2(const C *x, const C *y, const INT n)
{
INT k;
R err = K(0.0);
if (!y)
{
for (k = 0; k < n; k++)
err += CONJ(x[k]) * x[k];
}
else
{
for (k = 0; k < n; k++)
err += CONJ(x[k]-y[k]) * (x[k]-y[k]);
}
return SQRT(err);
}
static R err2(const R *x, const R *y, const INT n)
{
INT k;
R err = K(0.0);
if (!y)
{
for (k = 0; k < n; k++)
err += x[k]*x[k];
}
else
{
for (k = 0; k < n; k++)
err += (x[k]-y[k]) * (x[k]-y[k]);
}
return SQRT(err);
}
static R cerri(const C *x, const C *y, const INT n)
{
INT k;
R err = K(0.0), t;
if (!y)
{
for (k = 0; k < n; k++)
{
t = CABS(x[k]);
err = MAX(err, t);
}
}
else
{
for (k = 0; k < n; k++)
{
t = CABS(x[k] - y[k]);
err = MAX(err, t);
}
}
return err;
}
static R erri(const R *x, const R *y, const INT n)
{
INT k;
R err = K(0.0), t;
if (!y)
{
for (k = 0; k < n; k++)
{
t = FABS(x[k]);
err = MAX(err, t);
}
}
else
{
for (k = 0; k < n; k++)
{
t = FABS(x[k] - y[k]);
err = MAX(err, t);
}
}
return err;
}
R Y(error_l_infty_complex)(const C *x, const C *y, const INT n)
{
return (cerri(x, y, n)/cerri(x, 0, n));
}
R Y(error_l_infty_double)(const R *x, const R *y, const INT n)
{
return (erri(x, y, n)/erri(x, 0, n));
}
R Y(error_l_infty_1_complex)(const C *x, const C *y, const INT n,
const C *z, const INT m)
{
return (cerri(x, y, n)/cnrm1(z, m));
}
R Y(error_l_infty_1_double)(const R *x, const R *y, const INT n, const R *z,
const INT m)
{
return (erri(x, y, n)/nrm1(z, m));
}
R Y(error_l_2_complex)(const C *x, const C *y, const INT n)
{
return (cerr2(x, y, n)/cerr2(x, 0, n));
}
R Y(error_l_2_double)(const R *x, const R *y, const INT n)
{
return (err2(x, y, n)/err2(x, NULL, n));
}