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/* vector/oper_source.c
*
* Copyright (C) 2008 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 3 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_vector, add) (TYPE(gsl_vector) * a, const TYPE(gsl_vector) * b)
{
const size_t N = a->size;
if (b->size != N)
{
GSL_ERROR ("vectors must have same length", GSL_EBADLEN);
}
else
{
const size_t stride_a = a->stride;
const size_t stride_b = b->stride;
size_t i;
for (i = 0; i < N; i++)
{
a->data[2 * i * stride_a] += b->data[2 * i * stride_b];
a->data[2 * i * stride_a + 1] += b->data[2 * i * stride_b + 1];
}
return GSL_SUCCESS;
}
}
int
FUNCTION(gsl_vector, sub) (TYPE(gsl_vector) * a, const TYPE(gsl_vector) * b)
{
const size_t N = a->size;
if (b->size != N)
{
GSL_ERROR ("vectors must have same length", GSL_EBADLEN);
}
else
{
const size_t stride_a = a->stride;
const size_t stride_b = b->stride;
size_t i;
for (i = 0; i < N; i++)
{
a->data[2 * i * stride_a] -= b->data[2 * i * stride_b];
a->data[2 * i * stride_a + 1] -= b->data[2 * i * stride_b + 1];
}
return GSL_SUCCESS;
}
}
int
FUNCTION(gsl_vector, mul) (TYPE(gsl_vector) * a, const TYPE(gsl_vector) * b)
{
const size_t N = a->size;
if (b->size != N)
{
GSL_ERROR ("vectors must have same length", GSL_EBADLEN);
}
else
{
const size_t stride_a = a->stride;
const size_t stride_b = b->stride;
size_t i;
for (i = 0; i < N; i++)
{
ATOMIC ar = a->data[2 * i * stride_a];
ATOMIC ai = a->data[2 * i * stride_a + 1];
ATOMIC br = b->data[2 * i * stride_b];
ATOMIC bi = b->data[2 * i * stride_b + 1];
a->data[2 * i * stride_a] = ar * br - ai * bi;
a->data[2 * i * stride_a + 1] = ar * bi + ai * br;
}
return GSL_SUCCESS;
}
}
int
FUNCTION(gsl_vector, div) (TYPE(gsl_vector) * a, const TYPE(gsl_vector) * b)
{
const size_t N = a->size;
if (b->size != N)
{
GSL_ERROR ("vectors must have same length", GSL_EBADLEN);
}
else
{
const size_t stride_a = a->stride;
const size_t stride_b = b->stride;
size_t i;
for (i = 0; i < N; i++)
{
ATOMIC ar = a->data[2 * i * stride_a];
ATOMIC ai = a->data[2 * i * stride_a + 1];
ATOMIC br = b->data[2 * i * stride_b];
ATOMIC bi = b->data[2 * i * stride_b + 1];
ATOMIC s = 1.0 / hypot(br, bi);
ATOMIC sbr = s * br;
ATOMIC sbi = s * bi;
a->data[2 * i * stride_a] = (ar * sbr + ai * sbi) * s;
a->data[2 * i * stride_a + 1] = (ai * sbr - ar * sbi) * s;
}
return GSL_SUCCESS;
}
}
int
FUNCTION(gsl_vector, div_real) (TYPE(gsl_vector) * a, const REAL_TYPE(gsl_vector) * b)
{
const size_t N = a->size;
if (b->size != N)
{
GSL_ERROR ("vectors must have same length", GSL_EBADLEN);
}
else
{
const size_t stride_a = a->stride;
const size_t stride_b = b->stride;
size_t j;
for (j = 0; j < N; j++)
{
ATOMIC bj = b->data[j * stride_b];
a->data[2 * j * stride_a] /= bj;
a->data[2 * j * stride_a + 1] /= bj;
}
return GSL_SUCCESS;
}
}
int
FUNCTION(gsl_vector, scale) (TYPE(gsl_vector) * a, const BASE x)
{
#if defined(BASE_GSL_COMPLEX)
gsl_blas_zscal(x, a);
#elif defined(BASE_GSL_COMPLEX_FLOAT)
gsl_blas_cscal(x, a);
#else
const size_t N = a->size;
const size_t stride = a->stride;
size_t i;
ATOMIC xr = GSL_REAL(x);
ATOMIC xi = GSL_IMAG(x);
for (i = 0; i < N; i++)
{
ATOMIC ar = a->data[2 * i * stride];
ATOMIC ai = a->data[2 * i * stride + 1];
a->data[2 * i * stride] = ar * xr - ai * xi;
a->data[2 * i * stride + 1] = ar * xi + ai * xr;
}
#endif
return GSL_SUCCESS;
}
int
FUNCTION(gsl_vector, add_constant) (TYPE(gsl_vector) * a, const BASE x)
{
const size_t N = a->size;
const size_t stride = a->stride;
size_t i;
ATOMIC xr = GSL_REAL(x);
ATOMIC xi = GSL_IMAG(x);
for (i = 0; i < N; i++)
{
a->data[2 * i * stride] += xr;
a->data[2 * i * stride + 1] += xi;
}
return GSL_SUCCESS;
}
int
FUNCTION (gsl_vector, axpby) (const BASE alpha,
const TYPE (gsl_vector) * x,
const BASE beta,
TYPE (gsl_vector) * y)
{
const size_t x_size = x->size;
if (x_size != y->size)
{
GSL_ERROR ("vector lengths are not equal", GSL_EBADLEN);
}
else if (GSL_REAL(beta) == (ATOMIC) 0 && GSL_IMAG(beta) == (ATOMIC) 0)
{
const size_t x_stride = x->stride;
const size_t y_stride = y->stride;
const ATOMIC ar = GSL_REAL(alpha);
const ATOMIC ai = GSL_IMAG(alpha);
size_t j;
for (j = 0; j < x_size; j++)
{
ATOMIC xr = x->data[2 * j * x_stride];
ATOMIC xi = x->data[2 * j * x_stride + 1];
y->data[2 * j * y_stride] = ar * xr - ai * xi;
y->data[2 * j * y_stride + 1] = ai * xr + ar * xi;
}
return GSL_SUCCESS;
}
else
{
const size_t x_stride = x->stride;
const size_t y_stride = y->stride;
const ATOMIC ar = GSL_REAL(alpha);
const ATOMIC ai = GSL_IMAG(alpha);
const ATOMIC br = GSL_REAL(beta);
const ATOMIC bi = GSL_IMAG(beta);
size_t j;
for (j = 0; j < x_size; j++)
{
ATOMIC xr = x->data[2 * j * x_stride];
ATOMIC xi = x->data[2 * j * x_stride + 1];
ATOMIC yr = y->data[2 * j * y_stride];
ATOMIC yi = y->data[2 * j * y_stride + 1];
y->data[2 * j * y_stride] = ar * xr - ai * xi + br * yr - bi * yi;
y->data[2 * j * y_stride + 1] = ai * xr + ar * xi + bi * yr + br * yi;
}
return GSL_SUCCESS;
}
}
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