/*

 * Implement Heap sort -- direct and indirect sorting

 * Based on descriptions in Sedgewick "Algorithms in C"

 * Copyright (C) 1999  Thomas Walter

 *

 * 18 February 2000: Modified for GSL by Brian Gough

 *

 * This 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, or (at your option) any

 * later version.

 *

 * This source 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.

 */

#include <config.h>

#include <stdlib.h>

#include <gsl/gsl_heapsort.h>

static inline void downheap (size_t * p, const void *data, const size_t size, const size_t N, size_t k, gsl_comparison_fn_t compare);

#define CMP(data,size,j,k) (compare((const char *)(data) + (size) * (j), (const char *)(data) + (size) * (k)))

static inline void

downheap (size_t * p, const void *data, const size_t size, const size_t N, size_t k, gsl_comparison_fn_t compare)

{

  const size_t pki = p[k];

  while (k <= N / 2)

    {

      size_t j = 2 * k;

      if (j < N && CMP (data, size, p[j], p[j + 1]) < 0)

        {

          j++;

        }

      if (CMP (data, size, pki, p[j]) >= 0)

        {

          break;

        }

      p[k] = p[j];

      k = j;

    }

  p[k] = pki;

}

int

gsl_heapsort_index (size_t * p, const void *data, size_t count, size_t size, gsl_comparison_fn_t compare)

{

  /* Sort the array in ascending order. This is a true inplace

     algorithm with N log N operations. Worst case (an already sorted

     array) is something like 20% slower */

  size_t i, k, N;

  if (count == 0)

    {

      return GSL_SUCCESS;       /* No data to sort */

    }

  for (i = 0; i < count; i++)

    {

      p[i] = i ;                /* set permutation to identity */

    }

  /* We have n_data elements, last element is at 'n_data-1', first at

     '0' Set N to the last element number. */

  N = count - 1;

  k = N / 2;

  k++;                          /* Compensate the first use of 'k--' */

  do

    {

      k--;

      downheap (p, data, size, N, k, compare);

    }

  while (k > 0);

  while (N > 0)

    {

      /* first swap the elements */

      size_t tmp = p[0];

      p[0] = p[N];

      p[N] = tmp;

      /* then process the heap */

      N--;

      downheap (p, data, size, N, 0, compare);

    }

  return GSL_SUCCESS;

}