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authorchai <chaifix@163.com>2019-05-11 22:54:56 +0800
committerchai <chaifix@163.com>2019-05-11 22:54:56 +0800
commit9645be0af1b1d5cb0ad5892d5464e1b23c51b550 (patch)
tree129c716bed8e93312421c3adb2f8e7c4f811602d /source/3rd-party/SDL2/src/stdlib/SDL_qsort.c
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+/*
+ Simple DirectMedia Layer
+ Copyright (C) 1997-2018 Sam Lantinga <slouken@libsdl.org>
+
+ This software is provided 'as-is', without any express or implied
+ warranty. In no event will the authors be held liable for any damages
+ arising from the use of this software.
+
+ Permission is granted to anyone to use this software for any purpose,
+ including commercial applications, and to alter it and redistribute it
+ freely, subject to the following restrictions:
+
+ 1. The origin of this software must not be misrepresented; you must not
+ claim that you wrote the original software. If you use this software
+ in a product, an acknowledgment in the product documentation would be
+ appreciated but is not required.
+ 2. Altered source versions must be plainly marked as such, and must not be
+ misrepresented as being the original software.
+ 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#if defined(__clang_analyzer__) && !defined(SDL_DISABLE_ANALYZE_MACROS)
+#define SDL_DISABLE_ANALYZE_MACROS 1
+#endif
+
+#include "../SDL_internal.h"
+
+#include "SDL_stdinc.h"
+#include "SDL_assert.h"
+
+#if defined(HAVE_QSORT)
+void
+SDL_qsort(void *base, size_t nmemb, size_t size, int (*compare) (const void *, const void *))
+{
+ qsort(base, nmemb, size, compare);
+}
+
+#else
+
+#ifdef assert
+#undef assert
+#endif
+#define assert SDL_assert
+#ifdef malloc
+#undef malloc
+#endif
+#define malloc SDL_malloc
+#ifdef free
+#undef free
+#endif
+#define free SDL_free
+#ifdef memcpy
+#undef memcpy
+#endif
+#define memcpy SDL_memcpy
+#ifdef memmove
+#undef memmove
+#endif
+#define memmove SDL_memmove
+#ifdef qsortG
+#undef qsortG
+#endif
+#define qsortG SDL_qsort
+
+/*
+This code came from Gareth McCaughan, under the zlib license.
+Specifically this: https://www.mccaughan.org.uk/software/qsort.c-1.14
+
+Everything below this comment until the HAVE_QSORT #endif was from Gareth
+(any minor changes will be noted inline).
+
+Thank you to Gareth for relicensing this code under the zlib license for our
+benefit!
+
+--ryan.
+*/
+
+/* This is a drop-in replacement for the C library's |qsort()| routine.
+ *
+ * It is intended for use where you know or suspect that your
+ * platform's qsort is bad. If that isn't the case, then you
+ * should probably use the qsort your system gives you in preference
+ * to mine -- it will likely have been tested and tuned better.
+ *
+ * Features:
+ * - Median-of-three pivoting (and more)
+ * - Truncation and final polishing by a single insertion sort
+ * - Early truncation when no swaps needed in pivoting step
+ * - Explicit recursion, guaranteed not to overflow
+ * - A few little wrinkles stolen from the GNU |qsort()|.
+ * (For the avoidance of doubt, no code was stolen, only
+ * broad ideas.)
+ * - separate code for non-aligned / aligned / word-size objects
+ *
+ * Earlier releases of this code used an idiosyncratic licence
+ * I wrote myself, because I'm an idiot. The code is now released
+ * under the "zlib/libpng licence"; you will find the actual
+ * terms in the next comment. I request (but do not require)
+ * that if you make any changes beyond the name of the exported
+ * routine and reasonable tweaks to the TRUNC_* and
+ * PIVOT_THRESHOLD values, you modify the _ID string so as
+ * to make it clear that you have changed the code.
+ *
+ * If you find problems with this code, or find ways of
+ * making it significantly faster, please let me know!
+ * My e-mail address, valid as of early 2016 and for the
+ * foreseeable future, is
+ * gareth.mccaughan@pobox.com
+ * Thanks!
+ *
+ * Gareth McCaughan
+ */
+
+/* Copyright (c) 1998-2016 Gareth McCaughan
+ *
+ * This software is provided 'as-is', without any express or implied
+ * warranty. In no event will the authors be held liable for any
+ * damages arising from the use of this software.
+ *
+ * Permission is granted to anyone to use this software for any purpose,
+ * including commercial applications, and to alter it and redistribute it
+ * freely, subject to the following restrictions:
+ *
+ * 1. The origin of this software must not be misrepresented;
+ * you must not claim that you wrote the original software.
+ * If you use this software in a product, an acknowledgment
+ * in the product documentation would be appreciated but
+ * is not required.
+ *
+ * 2. Altered source versions must be plainly marked as such,
+ * and must not be misrepresented as being the original software.
+ *
+ * 3. This notice may not be removed or altered from any source
+ * distribution.
+ */
+
+/* Revision history since release:
+ * 1998-03-19 v1.12 First release I have any records of.
+ * 2007-09-02 v1.13 Fix bug kindly reported by Dan Bodoh
+ * (premature termination of recursion).
+ * Add a few clarifying comments.
+ * Minor improvements to debug output.
+ * 2016-02-21 v1.14 Replace licence with 2-clause BSD,
+ * and clarify a couple of things in
+ * comments. No code changes.
+ */
+
+/* BEGIN SDL CHANGE ... commented this out with an #if 0 block. --ryan. */
+#if 0
+#include <assert.h>
+#include <stdlib.h>
+#include <string.h>
+
+#define DEBUG_QSORT
+
+static char _ID[]="<qsort.c gjm 1.14 2016-02-21>";
+#endif
+/* END SDL CHANGE ... commented this out with an #if 0 block. --ryan. */
+
+/* How many bytes are there per word? (Must be a power of 2,
+ * and must in fact equal sizeof(int).)
+ */
+#define WORD_BYTES sizeof(int)
+
+/* How big does our stack need to be? Answer: one entry per
+ * bit in a |size_t|.
+ */
+#define STACK_SIZE (8*sizeof(size_t))
+
+/* Different situations have slightly different requirements,
+ * and we make life epsilon easier by using different truncation
+ * points for the three different cases.
+ * So far, I have tuned TRUNC_words and guessed that the same
+ * value might work well for the other two cases. Of course
+ * what works well on my machine might work badly on yours.
+ */
+#define TRUNC_nonaligned 12
+#define TRUNC_aligned 12
+#define TRUNC_words 12*WORD_BYTES /* nb different meaning */
+
+/* We use a simple pivoting algorithm for shortish sub-arrays
+ * and a more complicated one for larger ones. The threshold
+ * is PIVOT_THRESHOLD.
+ */
+#define PIVOT_THRESHOLD 40
+
+typedef struct { char * first; char * last; } stack_entry;
+#define pushLeft {stack[stacktop].first=ffirst;stack[stacktop++].last=last;}
+#define pushRight {stack[stacktop].first=first;stack[stacktop++].last=llast;}
+#define doLeft {first=ffirst;llast=last;continue;}
+#define doRight {ffirst=first;last=llast;continue;}
+#define pop {if (--stacktop<0) break;\
+ first=ffirst=stack[stacktop].first;\
+ last=llast=stack[stacktop].last;\
+ continue;}
+
+/* Some comments on the implementation.
+ * 1. When we finish partitioning the array into "low"
+ * and "high", we forget entirely about short subarrays,
+ * because they'll be done later by insertion sort.
+ * Doing lots of little insertion sorts might be a win
+ * on large datasets for locality-of-reference reasons,
+ * but it makes the code much nastier and increases
+ * bookkeeping overhead.
+ * 2. We always save the shorter and get to work on the
+ * longer. This guarantees that every time we push
+ * an item onto the stack its size is <= 1/2 of that
+ * of its parent; so the stack can't need more than
+ * log_2(max-array-size) entries.
+ * 3. We choose a pivot by looking at the first, last
+ * and middle elements. We arrange them into order
+ * because it's easy to do that in conjunction with
+ * choosing the pivot, and it makes things a little
+ * easier in the partitioning step. Anyway, the pivot
+ * is the middle of these three. It's still possible
+ * to construct datasets where the algorithm takes
+ * time of order n^2, but it simply never happens in
+ * practice.
+ * 3' Newsflash: On further investigation I find that
+ * it's easy to construct datasets where median-of-3
+ * simply isn't good enough. So on large-ish subarrays
+ * we do a more sophisticated pivoting: we take three
+ * sets of 3 elements, find their medians, and then
+ * take the median of those.
+ * 4. We copy the pivot element to a separate place
+ * because that way we can always do our comparisons
+ * directly against a pointer to that separate place,
+ * and don't have to wonder "did we move the pivot
+ * element?". This makes the inner loop better.
+ * 5. It's possible to make the pivoting even more
+ * reliable by looking at more candidates when n
+ * is larger. (Taking this to its logical conclusion
+ * results in a variant of quicksort that doesn't
+ * have that n^2 worst case.) However, the overhead
+ * from the extra bookkeeping means that it's just
+ * not worth while.
+ * 6. This is pretty clean and portable code. Here are
+ * all the potential portability pitfalls and problems
+ * I know of:
+ * - In one place (the insertion sort) I construct
+ * a pointer that points just past the end of the
+ * supplied array, and assume that (a) it won't
+ * compare equal to any pointer within the array,
+ * and (b) it will compare equal to a pointer
+ * obtained by stepping off the end of the array.
+ * These might fail on some segmented architectures.
+ * - I assume that there are 8 bits in a |char| when
+ * computing the size of stack needed. This would
+ * fail on machines with 9-bit or 16-bit bytes.
+ * - I assume that if |((int)base&(sizeof(int)-1))==0|
+ * and |(size&(sizeof(int)-1))==0| then it's safe to
+ * get at array elements via |int*|s, and that if
+ * actually |size==sizeof(int)| as well then it's
+ * safe to treat the elements as |int|s. This might
+ * fail on systems that convert pointers to integers
+ * in non-standard ways.
+ * - I assume that |8*sizeof(size_t)<=INT_MAX|. This
+ * would be false on a machine with 8-bit |char|s,
+ * 16-bit |int|s and 4096-bit |size_t|s. :-)
+ */
+
+/* The recursion logic is the same in each case.
+ * We keep chopping up until we reach subarrays of size
+ * strictly less than Trunc; we leave these unsorted. */
+#define Recurse(Trunc) \
+ { size_t l=last-ffirst,r=llast-first; \
+ if (l<Trunc) { \
+ if (r>=Trunc) doRight \
+ else pop \
+ } \
+ else if (l<=r) { pushLeft; doRight } \
+ else if (r>=Trunc) { pushRight; doLeft }\
+ else doLeft \
+ }
+
+/* and so is the pivoting logic (note: last is inclusive): */
+#define Pivot(swapper,sz) \
+ if ((size_t)(last-first)>PIVOT_THRESHOLD*sz) mid=pivot_big(first,mid,last,sz,compare);\
+ else { \
+ if (compare(first,mid)<0) { \
+ if (compare(mid,last)>0) { \
+ swapper(mid,last); \
+ if (compare(first,mid)>0) swapper(first,mid);\
+ } \
+ } \
+ else { \
+ if (compare(mid,last)>0) swapper(first,last)\
+ else { \
+ swapper(first,mid); \
+ if (compare(mid,last)>0) swapper(mid,last);\
+ } \
+ } \
+ first+=sz; last-=sz; \
+ }
+
+#ifdef DEBUG_QSORT
+#include <stdio.h>
+#endif
+
+/* and so is the partitioning logic: */
+#define Partition(swapper,sz) { \
+ do { \
+ while (compare(first,pivot)<0) first+=sz; \
+ while (compare(pivot,last)<0) last-=sz; \
+ if (first<last) { \
+ swapper(first,last); \
+ first+=sz; last-=sz; } \
+ else if (first==last) { first+=sz; last-=sz; break; }\
+ } while (first<=last); \
+}
+
+/* and so is the pre-insertion-sort operation of putting
+ * the smallest element into place as a sentinel.
+ * Doing this makes the inner loop nicer. I got this
+ * idea from the GNU implementation of qsort().
+ * We find the smallest element from the first |nmemb|,
+ * or the first |limit|, whichever is smaller;
+ * therefore we must have ensured that the globally smallest
+ * element is in the first |limit|.
+ */
+#define PreInsertion(swapper,limit,sz) \
+ first=base; \
+ last=first + ((nmemb>limit ? limit : nmemb)-1)*sz;\
+ while (last!=base) { \
+ if (compare(first,last)>0) first=last; \
+ last-=sz; } \
+ if (first!=base) swapper(first,(char*)base);
+
+/* and so is the insertion sort, in the first two cases: */
+#define Insertion(swapper) \
+ last=((char*)base)+nmemb*size; \
+ for (first=((char*)base)+size;first!=last;first+=size) { \
+ char *test; \
+ /* Find the right place for |first|. \
+ * My apologies for var reuse. */ \
+ for (test=first-size;compare(test,first)>0;test-=size) ; \
+ test+=size; \
+ if (test!=first) { \
+ /* Shift everything in [test,first) \
+ * up by one, and place |first| \
+ * where |test| is. */ \
+ memcpy(pivot,first,size); \
+ memmove(test+size,test,first-test); \
+ memcpy(test,pivot,size); \
+ } \
+ }
+
+#define SWAP_nonaligned(a,b) { \
+ register char *aa=(a),*bb=(b); \
+ register size_t sz=size; \
+ do { register char t=*aa; *aa++=*bb; *bb++=t; } while (--sz); }
+
+#define SWAP_aligned(a,b) { \
+ register int *aa=(int*)(a),*bb=(int*)(b); \
+ register size_t sz=size; \
+ do { register int t=*aa;*aa++=*bb; *bb++=t; } while (sz-=WORD_BYTES); }
+
+#define SWAP_words(a,b) { \
+ register int t=*((int*)a); *((int*)a)=*((int*)b); *((int*)b)=t; }
+
+/* ---------------------------------------------------------------------- */
+
+static char * pivot_big(char *first, char *mid, char *last, size_t size,
+ int compare(const void *, const void *)) {
+ size_t d=(((last-first)/size)>>3)*size;
+#ifdef DEBUG_QSORT
+fprintf(stderr, "pivot_big: first=%p last=%p size=%lu n=%lu\n", first, (unsigned long)last, size, (unsigned long)((last-first+1)/size));
+#endif
+ char *m1,*m2,*m3;
+ { char *a=first, *b=first+d, *c=first+2*d;
+#ifdef DEBUG_QSORT
+fprintf(stderr,"< %d %d %d @ %p %p %p\n",*(int*)a,*(int*)b,*(int*)c, a,b,c);
+#endif
+ m1 = compare(a,b)<0 ?
+ (compare(b,c)<0 ? b : (compare(a,c)<0 ? c : a))
+ : (compare(a,c)<0 ? a : (compare(b,c)<0 ? c : b));
+ }
+ { char *a=mid-d, *b=mid, *c=mid+d;
+#ifdef DEBUG_QSORT
+fprintf(stderr,". %d %d %d @ %p %p %p\n",*(int*)a,*(int*)b,*(int*)c, a,b,c);
+#endif
+ m2 = compare(a,b)<0 ?
+ (compare(b,c)<0 ? b : (compare(a,c)<0 ? c : a))
+ : (compare(a,c)<0 ? a : (compare(b,c)<0 ? c : b));
+ }
+ { char *a=last-2*d, *b=last-d, *c=last;
+#ifdef DEBUG_QSORT
+fprintf(stderr,"> %d %d %d @ %p %p %p\n",*(int*)a,*(int*)b,*(int*)c, a,b,c);
+#endif
+ m3 = compare(a,b)<0 ?
+ (compare(b,c)<0 ? b : (compare(a,c)<0 ? c : a))
+ : (compare(a,c)<0 ? a : (compare(b,c)<0 ? c : b));
+ }
+#ifdef DEBUG_QSORT
+fprintf(stderr,"-> %d %d %d @ %p %p %p\n",*(int*)m1,*(int*)m2,*(int*)m3, m1,m2,m3);
+#endif
+ return compare(m1,m2)<0 ?
+ (compare(m2,m3)<0 ? m2 : (compare(m1,m3)<0 ? m3 : m1))
+ : (compare(m1,m3)<0 ? m1 : (compare(m2,m3)<0 ? m3 : m2));
+}
+
+/* ---------------------------------------------------------------------- */
+
+static void qsort_nonaligned(void *base, size_t nmemb, size_t size,
+ int (*compare)(const void *, const void *)) {
+
+ stack_entry stack[STACK_SIZE];
+ int stacktop=0;
+ char *first,*last;
+ char *pivot=malloc(size);
+ size_t trunc=TRUNC_nonaligned*size;
+ assert(pivot!=0);
+
+ first=(char*)base; last=first+(nmemb-1)*size;
+
+ if ((size_t)(last-first)>=trunc) {
+ char *ffirst=first, *llast=last;
+ while (1) {
+ /* Select pivot */
+ { char * mid=first+size*((last-first)/size >> 1);
+ Pivot(SWAP_nonaligned,size);
+ memcpy(pivot,mid,size);
+ }
+ /* Partition. */
+ Partition(SWAP_nonaligned,size);
+ /* Prepare to recurse/iterate. */
+ Recurse(trunc)
+ }
+ }
+ PreInsertion(SWAP_nonaligned,TRUNC_nonaligned,size);
+ Insertion(SWAP_nonaligned);
+ free(pivot);
+}
+
+static void qsort_aligned(void *base, size_t nmemb, size_t size,
+ int (*compare)(const void *, const void *)) {
+
+ stack_entry stack[STACK_SIZE];
+ int stacktop=0;
+ char *first,*last;
+ char *pivot=malloc(size);
+ size_t trunc=TRUNC_aligned*size;
+ assert(pivot!=0);
+
+ first=(char*)base; last=first+(nmemb-1)*size;
+
+ if ((size_t)(last-first)>=trunc) {
+ char *ffirst=first,*llast=last;
+ while (1) {
+ /* Select pivot */
+ { char * mid=first+size*((last-first)/size >> 1);
+ Pivot(SWAP_aligned,size);
+ memcpy(pivot,mid,size);
+ }
+ /* Partition. */
+ Partition(SWAP_aligned,size);
+ /* Prepare to recurse/iterate. */
+ Recurse(trunc)
+ }
+ }
+ PreInsertion(SWAP_aligned,TRUNC_aligned,size);
+ Insertion(SWAP_aligned);
+ free(pivot);
+}
+
+static void qsort_words(void *base, size_t nmemb,
+ int (*compare)(const void *, const void *)) {
+
+ stack_entry stack[STACK_SIZE];
+ int stacktop=0;
+ char *first,*last;
+ char *pivot=malloc(WORD_BYTES);
+ assert(pivot!=0);
+
+ first=(char*)base; last=first+(nmemb-1)*WORD_BYTES;
+
+ if (last-first>=TRUNC_words) {
+ char *ffirst=first, *llast=last;
+ while (1) {
+#ifdef DEBUG_QSORT
+fprintf(stderr,"Doing %d:%d: ",
+ (first-(char*)base)/WORD_BYTES,
+ (last-(char*)base)/WORD_BYTES);
+#endif
+ /* Select pivot */
+ { char * mid=first+WORD_BYTES*((last-first) / (2*WORD_BYTES));
+ Pivot(SWAP_words,WORD_BYTES);
+ *(int*)pivot=*(int*)mid;
+#ifdef DEBUG_QSORT
+fprintf(stderr,"pivot = %p = #%lu = %d\n", mid, (unsigned long)(((int*)mid)-((int*)base)), *(int*)mid);
+#endif
+ }
+ /* Partition. */
+ Partition(SWAP_words,WORD_BYTES);
+#ifdef DEBUG_QSORT
+fprintf(stderr, "after partitioning first=#%lu last=#%lu\n", (first-(char*)base)/4lu, (last-(char*)base)/4lu);
+#endif
+ /* Prepare to recurse/iterate. */
+ Recurse(TRUNC_words)
+ }
+ }
+ PreInsertion(SWAP_words,(TRUNC_words/WORD_BYTES),WORD_BYTES);
+ /* Now do insertion sort. */
+ last=((char*)base)+nmemb*WORD_BYTES;
+ for (first=((char*)base)+WORD_BYTES;first!=last;first+=WORD_BYTES) {
+ /* Find the right place for |first|. My apologies for var reuse */
+ int *pl=(int*)(first-WORD_BYTES),*pr=(int*)first;
+ *(int*)pivot=*(int*)first;
+ for (;compare(pl,pivot)>0;pr=pl,--pl) {
+ *pr=*pl; }
+ if (pr!=(int*)first) *pr=*(int*)pivot;
+ }
+ free(pivot);
+}
+
+/* ---------------------------------------------------------------------- */
+
+extern void qsortG(void *base, size_t nmemb, size_t size,
+ int (*compare)(const void *, const void *)) {
+
+ if (nmemb<=1) return;
+ if (((size_t)base|size)&(WORD_BYTES-1))
+ qsort_nonaligned(base,nmemb,size,compare);
+ else if (size!=WORD_BYTES)
+ qsort_aligned(base,nmemb,size,compare);
+ else
+ qsort_words(base,nmemb,compare);
+}
+
+
+#endif /* HAVE_QSORT */
+
+/* vi: set ts=4 sw=4 expandtab: */
+