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/* $OpenBSD: qsort.c,v 1.18 2017/05/30 14:54:09 millert Exp $ */ |
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/*- |
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* Copyright (c) 1992, 1993 |
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* The Regents of the University of California. All rights reserved. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the distribution. |
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* 3. Neither the name of the University nor the names of its contributors |
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* may be used to endorse or promote products derived from this software |
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* without specific prior written permission. |
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* |
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* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND |
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE |
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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* SUCH DAMAGE. |
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*/ |
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#include <sys/types.h> |
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#include <stdlib.h> |
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static __inline char *med3(char *, char *, char *, int (*)(const void *, const void *)); |
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static __inline void swapfunc(char *, char *, size_t, int); |
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#define min(a, b) (a) < (b) ? a : b |
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/* |
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* Qsort routine from Bentley & McIlroy's "Engineering a Sort Function". |
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* |
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* This version differs from Bentley & McIlroy in the following ways: |
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* 1. The partition value is swapped into a[0] instead of being |
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* stored out of line. |
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* |
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* 2. The swap function can swap 32-bit aligned elements on 64-bit |
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* platforms instead of swapping them as byte-aligned. |
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* |
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* 3. It uses David Musser's introsort algorithm to fall back to |
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* heapsort(3) when the recursion depth reaches 2*lg(n + 1). |
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* This avoids quicksort's quadratic behavior for pathological |
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* input without appreciably changing the average run time. |
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* |
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* 4. Tail recursion is eliminated when sorting the larger of two |
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* subpartitions to save stack space. |
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*/ |
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#define SWAPTYPE_BYTEV 1 |
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#define SWAPTYPE_INTV 2 |
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#define SWAPTYPE_LONGV 3 |
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#define SWAPTYPE_INT 4 |
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#define SWAPTYPE_LONG 5 |
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#define TYPE_ALIGNED(TYPE, a, es) \ |
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(((char *)a - (char *)0) % sizeof(TYPE) == 0 && es % sizeof(TYPE) == 0) |
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#define swapcode(TYPE, parmi, parmj, n) { \ |
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size_t i = (n) / sizeof (TYPE); \ |
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TYPE *pi = (TYPE *) (parmi); \ |
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TYPE *pj = (TYPE *) (parmj); \ |
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do { \ |
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TYPE t = *pi; \ |
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*pi++ = *pj; \ |
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*pj++ = t; \ |
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} while (--i > 0); \ |
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} |
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static __inline void |
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swapfunc(char *a, char *b, size_t n, int swaptype) |
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{ |
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switch (swaptype) { |
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case SWAPTYPE_INT: |
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case SWAPTYPE_INTV: |
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swapcode(int, a, b, n); |
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break; |
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case SWAPTYPE_LONG: |
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case SWAPTYPE_LONGV: |
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swapcode(long, a, b, n); |
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break; |
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default: |
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swapcode(char, a, b, n); |
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break; |
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} |
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} |
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#define swap(a, b) do { \ |
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switch (swaptype) { \ |
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case SWAPTYPE_INT: { \ |
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int t = *(int *)(a); \ |
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*(int *)(a) = *(int *)(b); \ |
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*(int *)(b) = t; \ |
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break; \ |
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} \ |
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case SWAPTYPE_LONG: { \ |
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long t = *(long *)(a); \ |
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*(long *)(a) = *(long *)(b); \ |
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*(long *)(b) = t; \ |
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break; \ |
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} \ |
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default: \ |
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swapfunc(a, b, es, swaptype); \ |
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} \ |
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} while (0) |
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#define vecswap(a, b, n) if ((n) > 0) swapfunc(a, b, n, swaptype) |
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static __inline char * |
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med3(char *a, char *b, char *c, int (*cmp)(const void *, const void *)) |
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{ |
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return cmp(a, b) < 0 ? |
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(cmp(b, c) < 0 ? b : (cmp(a, c) < 0 ? c : a )) |
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:(cmp(b, c) > 0 ? b : (cmp(a, c) < 0 ? a : c )); |
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} |
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static void |
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introsort(char *a, size_t n, size_t es, size_t maxdepth, int swaptype, |
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int (*cmp)(const void *, const void *)) |
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{ |
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char *pa, *pb, *pc, *pd, *pl, *pm, *pn; |
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int cmp_result; |
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size_t r, s; |
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loop: if (n < 7) { |
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for (pm = a + es; pm < a + n * es; pm += es) |
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for (pl = pm; pl > a && cmp(pl - es, pl) > 0; |
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pl -= es) |
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swap(pl, pl - es); |
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return; |
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} |
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if (maxdepth == 0) { |
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if (heapsort(a, n, es, cmp) == 0) |
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return; |
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} |
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maxdepth--; |
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pm = a + (n / 2) * es; |
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if (n > 7) { |
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pl = a; |
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pn = a + (n - 1) * es; |
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if (n > 40) { |
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s = (n / 8) * es; |
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pl = med3(pl, pl + s, pl + 2 * s, cmp); |
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pm = med3(pm - s, pm, pm + s, cmp); |
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pn = med3(pn - 2 * s, pn - s, pn, cmp); |
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} |
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pm = med3(pl, pm, pn, cmp); |
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} |
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swap(a, pm); |
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pa = pb = a + es; |
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pc = pd = a + (n - 1) * es; |
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for (;;) { |
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while (pb <= pc && (cmp_result = cmp(pb, a)) <= 0) { |
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if (cmp_result == 0) { |
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swap(pa, pb); |
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pa += es; |
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} |
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pb += es; |
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} |
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while (pb <= pc && (cmp_result = cmp(pc, a)) >= 0) { |
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if (cmp_result == 0) { |
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swap(pc, pd); |
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pd -= es; |
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} |
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pc -= es; |
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} |
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if (pb > pc) |
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break; |
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swap(pb, pc); |
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pb += es; |
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pc -= es; |
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} |
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pn = a + n * es; |
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r = min(pa - a, pb - pa); |
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vecswap(a, pb - r, r); |
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r = min(pd - pc, pn - pd - es); |
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vecswap(pb, pn - r, r); |
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/* |
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* To save stack space we sort the smaller side of the partition first |
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* using recursion and eliminate tail recursion for the larger side. |
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*/ |
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r = pb - pa; |
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s = pd - pc; |
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if (r < s) { |
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/* Recurse for 1st side, iterate for 2nd side. */ |
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if (s > es) { |
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if (r > es) { |
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introsort(a, r / es, es, maxdepth, |
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swaptype, cmp); |
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} |
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a = pn - s; |
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n = s / es; |
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goto loop; |
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} |
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} else { |
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/* Recurse for 2nd side, iterate for 1st side. */ |
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if (r > es) { |
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if (s > es) { |
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introsort(pn - s, s / es, es, maxdepth, |
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swaptype, cmp); |
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} |
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n = r / es; |
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goto loop; |
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} |
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} |
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} |
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void |
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qsort(void *a, size_t n, size_t es, int (*cmp)(const void *, const void *)) |
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{ |
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size_t i, maxdepth = 0; |
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int swaptype; |
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/* Approximate 2*ceil(lg(n + 1)) */ |
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for (i = n; i > 0; i >>= 1) |
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maxdepth++; |
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maxdepth *= 2; |
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if (TYPE_ALIGNED(long, a, es)) |
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swaptype = es == sizeof(long) ? SWAPTYPE_LONG : SWAPTYPE_LONGV; |
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else if (sizeof(int) != sizeof(long) && TYPE_ALIGNED(int, a, es)) |
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swaptype = es == sizeof(int) ? SWAPTYPE_INT : SWAPTYPE_INTV; |
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else |
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swaptype = SWAPTYPE_BYTEV; |
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introsort(a, n, es, maxdepth, swaptype, cmp); |
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} |
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DEF_STRONG(qsort); |