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/* matrix/oper_complex_source.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Brian Gough
*
* 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.
*/
int
FUNCTION (gsl_matrix, add) (TYPE (gsl_matrix) * a,
const TYPE (gsl_matrix) * b)
{
const size_t M = a->size1;
const size_t N = a->size2;
if (b->size1 != M || b->size2 != N)
{
GSL_ERROR ("matrices must have same dimensions", GSL_EBADLEN);
}
else
{
const size_t tda_a = a->tda;
const size_t tda_b = b->tda;
size_t i, j;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
const size_t aij = 2 * (i * tda_a + j);
const size_t bij = 2 * (i * tda_b + j);
a->data[aij] += b->data[bij];
a->data[aij + 1] += b->data[bij + 1];
}
}
return GSL_SUCCESS;
}
}
int
FUNCTION (gsl_matrix, sub) (TYPE (gsl_matrix) * a,
const TYPE (gsl_matrix) * b)
{
const size_t M = a->size1;
const size_t N = a->size2;
if (b->size1 != M || b->size2 != N)
{
GSL_ERROR ("matrices must have same dimensions", GSL_EBADLEN);
}
else
{
const size_t tda_a = a->tda;
const size_t tda_b = b->tda;
size_t i, j;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
const size_t aij = 2 * (i * tda_a + j);
const size_t bij = 2 * (i * tda_b + j);
a->data[aij] -= b->data[bij];
a->data[aij + 1] -= b->data[bij + 1];
}
}
return GSL_SUCCESS;
}
}
int
FUNCTION (gsl_matrix, mul_elements) (TYPE (gsl_matrix) * a,
const TYPE (gsl_matrix) * b)
{
const size_t M = a->size1;
const size_t N = a->size2;
if (b->size1 != M || b->size2 != N)
{
GSL_ERROR ("matrices must have same dimensions", GSL_EBADLEN);
}
else
{
const size_t tda_a = a->tda;
const size_t tda_b = b->tda;
size_t i, j;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
const size_t aij = 2 * (i * tda_a + j);
const size_t bij = 2 * (i * tda_b + j);
ATOMIC ar = a->data[aij];
ATOMIC ai = a->data[aij + 1];
ATOMIC br = b->data[bij];
ATOMIC bi = b->data[bij + 1];
a->data[aij] = ar * br - ai * bi;
a->data[aij + 1] = ar * bi + ai * br;
}
}
return GSL_SUCCESS;
}
}
int
FUNCTION (gsl_matrix, div_elements) (TYPE (gsl_matrix) * a,
const TYPE (gsl_matrix) * b)
{
const size_t M = a->size1;
const size_t N = a->size2;
if (b->size1 != M || b->size2 != N)
{
GSL_ERROR ("matrices must have same dimensions", GSL_EBADLEN);
}
else
{
const size_t tda_a = a->tda;
const size_t tda_b = b->tda;
size_t i, j;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
const size_t aij = 2 * (i * tda_a + j);
const size_t bij = 2 * (i * tda_b + j);
ATOMIC ar = a->data[aij];
ATOMIC ai = a->data[aij + 1];
ATOMIC br = b->data[bij];
ATOMIC bi = b->data[bij + 1];
ATOMIC s = 1.0 / hypot(br, bi);
ATOMIC sbr = s * br;
ATOMIC sbi = s * bi;
a->data[aij] = (ar * sbr + ai * sbi) * s;
a->data[aij + 1] = (ai * sbr - ar * sbi) * s;
}
}
return GSL_SUCCESS;
}
}
int FUNCTION (gsl_matrix, scale) (TYPE (gsl_matrix) * a, const BASE x)
{
const size_t M = a->size1;
const size_t N = a->size2;
const size_t tda = a->tda;
size_t i, j;
ATOMIC xr = GSL_REAL(x);
ATOMIC xi = GSL_IMAG(x);
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
const size_t aij = 2 * (i * tda + j);
ATOMIC ar = a->data[aij];
ATOMIC ai = a->data[aij + 1];
a->data[aij] = ar * xr - ai * xi;
a->data[aij + 1] = ar * xi + ai * xr;
}
}
return GSL_SUCCESS;
}
int FUNCTION (gsl_matrix, add_constant) (TYPE (gsl_matrix) * a, const BASE x)
{
const size_t M = a->size1;
const size_t N = a->size2;
const size_t tda = a->tda;
size_t i, j;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
a->data[2 * (i * tda + j)] += GSL_REAL (x);
a->data[2 * (i * tda + j) + 1] += GSL_IMAG (x);
}
}
return GSL_SUCCESS;
}
int FUNCTION (gsl_matrix, add_diagonal) (TYPE (gsl_matrix) * a, const BASE x)
{
const size_t M = a->size1;
const size_t N = a->size2;
const size_t tda = a->tda;
const size_t loop_lim = (M < N ? M : N);
size_t i;
for (i = 0; i < loop_lim; i++)
{
a->data[2 * (i * tda + i)] += GSL_REAL (x);
a->data[2 * (i * tda + i) + 1] += GSL_IMAG (x);
}
return GSL_SUCCESS;
}
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