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/*
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* Implement Heap sort -- direct and indirect sorting
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* Based on descriptions in Sedgewick "Algorithms in C"
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*
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* Copyright (C) 1999 Thomas Walter
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*
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* 18 February 2000: Modified for GSL by Brian Gough
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*
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* This is free software; you can redistribute it and/or modify it
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* under the terms of the GNU General Public License as published by the
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* Free Software Foundation; either version 3, or (at your option) any
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* later version.
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*
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* This source is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* for more details.
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*/
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#include <config.h>
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#include <stdlib.h>
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#include <gsl/gsl_heapsort.h>
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static inline void swap (void *base, size_t size, size_t i, size_t j);
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static inline void downheap (void *data, const size_t size, const size_t N, size_t k, gsl_comparison_fn_t compare);
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/* Inline swap function for moving objects around */
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static inline void
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swap (void *base, size_t size, size_t i, size_t j)
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{
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register char *a = size * i + (char *) base;
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register char *b = size * j + (char *) base;
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register size_t s = size;
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if (i == j)
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return;
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do
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{
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char tmp = *a;
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*a++ = *b;
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*b++ = tmp;
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}
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while (--s > 0);
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}
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#define CMP(data,size,j,k) (compare((char *)(data) + (size) * (j), (char *)(data) + (size) * (k)))
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static inline void
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downheap (void *data, const size_t size, const size_t N, size_t k, gsl_comparison_fn_t compare)
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{
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while (k <= N / 2)
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{
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size_t j = 2 * k;
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if (j < N && CMP (data, size, j, j + 1) < 0)
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{
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j++;
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}
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if (CMP (data, size, k, j) < 0)
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{
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swap (data, size, j, k);
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}
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else
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{
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break;
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}
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k = j;
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}
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}
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void
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gsl_heapsort (void *data, size_t count, size_t size, gsl_comparison_fn_t compare)
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{
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/* Sort the array in ascending order. This is a true inplace
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algorithm with N log N operations. Worst case (an already sorted
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array) is something like 20% slower */
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size_t N;
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size_t k;
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if (count == 0)
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{
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return; /* No data to sort */
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}
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/* We have n_data elements, last element is at 'n_data-1', first at
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'0' Set N to the last element number. */
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N = count - 1;
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k = N / 2;
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k++; /* Compensate the first use of 'k--' */
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do
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{
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k--;
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downheap (data, size, N, k, compare);
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}
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while (k > 0);
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while (N > 0)
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{
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/* first swap the elements */
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swap (data, size, 0, N);
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/* then process the heap */
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N--;
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downheap (data, size, N, 0, compare);
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}
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}
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