/* 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;

}