src/stdlib/qsort.c

/* Copyright (C) 2011 by Valentin Ochs
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to
 * deal in the Software without restriction, including without limitation the
 * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
 * sell copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
 * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
 * IN THE SOFTWARE.
 */

/* Minor changes by Rich Felker for integration in musl, 2011-04-27. */

/* Smoothsort, an adaptive variant of Heapsort.  Memory usage: O(1).
   Run time: Worst case O(n log n), close to O(n) in the mostly-sorted case. */

#define _BSD_SOURCE
#include <stdint.h>
#include <stdlib.h>
#include <string.h>

#include "atomic.h"
#define ntz(x) a_ctz_l((x))

typedef int (*cmpfun)(const void *, const void *, void *);

static inline int pntz(size_t p[2]) {
	int r = ntz(p[0] - 1);
	if(r != 0 || (r = 8*sizeof(size_t) + ntz(p[1])) != 8*sizeof(size_t)) {
		return r;
	}
	return 0;
}

static void cycle(size_t width, unsigned char* ar[], int n)
{
	unsigned char tmp[256];
	size_t l;
	int i;

	if(n < 2) {
		return;
	}

	ar[n] = tmp;
	while(width) {
		l = sizeof(tmp) < width ? sizeof(tmp) : width;
		memcpy(ar[n], ar[0], l);
		for(i = 0; i < n; i++) {
			memcpy(ar[i], ar[i + 1], l);
			ar[i] += l;
		}
		width -= l;
	}
}

/* shl() and shr() need n > 0 */
static inline void shl(size_t p[2], int n)
{
	if(n >= 8 * sizeof(size_t)) {
		n -= 8 * sizeof(size_t);
		p[1] = p[0];
		p[0] = 0;
	}
	p[1] <<= n;
	p[1] |= p[0] >> (sizeof(size_t) * 8 - n);
	p[0] <<= n;
}

static inline void shr(size_t p[2], int n)
{
	if(n >= 8 * sizeof(size_t)) {
		n -= 8 * sizeof(size_t);
		p[0] = p[1];
		p[1] = 0;
	}
	p[0] >>= n;
	p[0] |= p[1] << (sizeof(size_t) * 8 - n);
	p[1] >>= n;
}

static void sift(unsigned char *head, size_t width, cmpfun cmp, void *arg, int pshift, size_t lp[])
{
	unsigned char *rt, *lf;
	unsigned char *ar[14 * sizeof(size_t) + 1];
	int i = 1;

	ar[0] = head;
	while(pshift > 1) {
		rt = head - width;
		lf = head - width - lp[pshift - 2];

		if(cmp(ar[0], lf, arg) >= 0 && cmp(ar[0], rt, arg) >= 0) {
			break;
		}
		if(cmp(lf, rt, arg) >= 0) {
			ar[i++] = lf;
			head = lf;
			pshift -= 1;
		} else {
			ar[i++] = rt;
			head = rt;
			pshift -= 2;
		}
	}
	cycle(width, ar, i);
}

static void trinkle(unsigned char *head, size_t width, cmpfun cmp, void *arg, size_t pp[2], int pshift, int trusty, size_t lp[])
{
	unsigned char *stepson,
	              *rt, *lf;
	size_t p[2];
	unsigned char *ar[14 * sizeof(size_t) + 1];
	int i = 1;
	int trail;

	p[0] = pp[0];
	p[1] = pp[1];

	ar[0] = head;
	while(p[0] != 1 || p[1] != 0) {
		stepson = head - lp[pshift];
		if(cmp(stepson, ar[0], arg) <= 0) {
			break;
		}
		if(!trusty && pshift > 1) {
			rt = head - width;
			lf = head - width - lp[pshift - 2];
			if(cmp(rt, stepson, arg) >= 0 || cmp(lf, stepson, arg) >= 0) {
				break;
			}
		}

		ar[i++] = stepson;
		head = stepson;
		trail = pntz(p);
		shr(p, trail);
		pshift += trail;
		trusty = 0;
	}
	if(!trusty) {
		cycle(width, ar, i);
		sift(head, width, cmp, arg, pshift, lp);
	}
}

void __qsort_r(void *base, size_t nel, size_t width, cmpfun cmp, void *arg)
{
	size_t lp[12*sizeof(size_t)];
	size_t i, size = width * nel;
	unsigned char *head, *high;
	size_t p[2] = {1, 0};
	int pshift = 1;
	int trail;

	if (!size) return;

	head = base;
	high = head + size - width;

	/* Precompute Leonardo numbers, scaled by element width */
	for(lp[0]=lp[1]=width, i=2; (lp[i]=lp[i-2]+lp[i-1]+width) < size; i++);

	while(head < high) {
		if((p[0] & 3) == 3) {
			sift(head, width, cmp, arg, pshift, lp);
			shr(p, 2);
			pshift += 2;
		} else {
			if(lp[pshift - 1] >= high - head) {
				trinkle(head, width, cmp, arg, p, pshift, 0, lp);
			} else {
				sift(head, width, cmp, arg, pshift, lp);
			}

			if(pshift == 1) {
				shl(p, 1);
				pshift = 0;
			} else {
				shl(p, pshift - 1);
				pshift = 1;
			}
		}

		p[0] |= 1;
		head += width;
	}

	trinkle(head, width, cmp, arg, p, pshift, 0, lp);

	while(pshift != 1 || p[0] != 1 || p[1] != 0) {
		if(pshift <= 1) {
			trail = pntz(p);
			shr(p, trail);
			pshift += trail;
		} else {
			shl(p, 2);
			pshift -= 2;
			p[0] ^= 7;
			shr(p, 1);
			trinkle(head - lp[pshift] - width, width, cmp, arg, p, pshift + 1, 1, lp);
			shl(p, 1);
			p[0] |= 1;
			trinkle(head - width, width, cmp, arg, p, pshift, 1, lp);
		}
		head -= width;
	}
}

weak_alias(__qsort_r, qsort_r);