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- /* matrix/oper_complex_source.c
- *
- * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 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_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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