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/* permutation/permutation.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.
*/
#include <config.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_permutation.h>
size_t
gsl_permutation_size (const gsl_permutation * p)
{
return p->size ;
}
size_t *
gsl_permutation_data (const gsl_permutation * p)
{
return p->data ;
}
#ifndef HIDE_INLINE_STATIC
size_t
gsl_permutation_get (const gsl_permutation * p, const size_t i)
{
if (gsl_check_range)
{
if (i >= p->size) /* size_t is unsigned, can't be negative */
{
GSL_ERROR_VAL ("index out of range", GSL_EINVAL, 0);
}
}
return p->data[i];
}
#endif
int
gsl_permutation_swap (gsl_permutation * p, const size_t i, const size_t j)
{
const size_t size = p->size ;
if (i >= size)
{
GSL_ERROR("first index is out of range", GSL_EINVAL);
}
if (j >= size)
{
GSL_ERROR("second index is out of range", GSL_EINVAL);
}
if (i != j)
{
size_t tmp = p->data[i];
p->data[i] = p->data[j];
p->data[j] = tmp;
}
return GSL_SUCCESS;
}
int
gsl_permutation_valid (gsl_permutation * p)
{
const size_t size = p->size ;
size_t i, j ;
for (i = 0; i < size; i++)
{
if (p->data[i] >= size)
{
GSL_ERROR("permutation index outside range", GSL_FAILURE) ;
}
for (j = 0; j < i; j++)
{
if (p->data[i] == p->data[j])
{
GSL_ERROR("duplicate permutation index", GSL_FAILURE) ;
}
}
}
return GSL_SUCCESS;
}
void
gsl_permutation_reverse (gsl_permutation * p)
{
const size_t size = p->size ;
size_t i ;
for (i = 0; i < (size / 2); i++)
{
size_t j = size - i - 1;
size_t tmp = p->data[i] ;
p->data[i] = p->data[j] ;
p->data[j] = tmp ;
}
}
int
gsl_permutation_inverse (gsl_permutation * inv, const gsl_permutation * p)
{
const size_t size = p->size ;
size_t i ;
if (inv->size != size)
{
GSL_ERROR("permutation lengths are not equal", GSL_EBADLEN);
}
for (i = 0; i < size; i++)
{
inv->data[p->data[i]] = i ;
}
return GSL_SUCCESS ;
}
int
gsl_permutation_next (gsl_permutation * p)
{
/* Replaces p with the next permutation (in the standard lexicographical
* ordering). Returns GSL_FAILURE if there is no next permutation.
*/
const size_t size = p->size;
size_t i, j, k;
if (size < 2)
{
return GSL_FAILURE;
}
i = size - 2;
while ((p->data[i] > p->data[i+1]) && (i != 0))
{
i--;
}
if ((i == 0) && (p->data[0] > p->data[1]))
{
return GSL_FAILURE;
}
k = i + 1;
for (j = i + 2; j < size; j++ )
{
if ((p->data[j] > p->data[i]) && (p->data[j] < p->data[k]))
{
k = j;
}
}
/* swap i and k */
{
size_t tmp = p->data[i];
p->data[i] = p->data[k];
p->data[k] = tmp;
}
for (j = i + 1; j <= ((size + i) / 2); j++)
{
size_t tmp = p->data[j];
p->data[j] = p->data[size + i - j];
p->data[size + i - j] = tmp;
}
return GSL_SUCCESS;
}
int
gsl_permutation_prev (gsl_permutation * p)
{
const size_t size = p->size;
size_t i, j, k;
if (size < 2)
{
return GSL_FAILURE;
}
i = size - 2;
while ((p->data[i] < p->data[i+1]) && (i != 0))
{
i--;
}
if ((i == 0) && (p->data[0] < p->data[1]))
{
return GSL_FAILURE;
}
k = i + 1;
for (j = i + 2; j < size; j++ )
{
if ((p->data[j] < p->data[i]) && (p->data[j] > p->data[k]))
{
k = j;
}
}
/* swap i and k */
{
size_t tmp = p->data[i];
p->data[i] = p->data[k];
p->data[k] = tmp;
}
for (j = i + 1; j <= ((size + i) / 2); j++)
{
size_t tmp = p->data[j];
p->data[j] = p->data[size + i - j];
p->data[size + i - j] = tmp;
}
return GSL_SUCCESS;
}
int
gsl_permutation_mul (gsl_permutation * p, const gsl_permutation * pa, const gsl_permutation * pb)
{
size_t i;
const size_t size = p->size;
if (pa->size != size)
{
GSL_ERROR("size of result does not match size of pa", GSL_EINVAL);
}
if (pb->size != size)
{
GSL_ERROR("size of result does not match size of pb", GSL_EINVAL);
}
for (i = 0; i < size; i++)
{
p->data[i] = pb->data[pa->data[i]];
}
return GSL_SUCCESS;
}
int
gsl_permutation_memcpy (gsl_permutation * dest,
const gsl_permutation * src)
{
const size_t src_size = src->size;
const size_t dest_size = dest->size;
if (src_size != dest_size)
{
GSL_ERROR ("permutation lengths are not equal", GSL_EBADLEN);
}
{
size_t j;
for (j = 0; j < src_size; j++)
{
dest->data[j] = src->data[j];
}
}
return GSL_SUCCESS;
}