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| 1 | /* Copyright (C) 2011 by Valentin Ochs |
| 2 | * |
| 3 | * Permission is hereby granted, free of charge, to any person obtaining a copy |
| 4 | * of this software and associated documentation files (the "Software"), to |
| 5 | * deal in the Software without restriction, including without limitation the |
| 6 | * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or |
| 7 | * sell copies of the Software, and to permit persons to whom the Software is |
| 8 | * furnished to do so, subject to the following conditions: |
| 9 | * |
| 10 | * The above copyright notice and this permission notice shall be included in |
| 11 | * all copies or substantial portions of the Software. |
| 12 | * |
| 13 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
| 14 | * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
| 15 | * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
| 16 | * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
| 17 | * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING |
| 18 | * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS |
| 19 | * IN THE SOFTWARE. |
| 20 | */ |
| 21 | |
| 22 | /* Minor changes by Rich Felker for integration in musl, 2011-04-27. */ |
| 23 | |
| 24 | /* Smoothsort, an adaptive variant of Heapsort. Memory usage: O(1). |
| 25 | Run time: Worst case O(n log n), close to O(n) in the mostly-sorted case. */ |
| 26 | |
| 27 | #define _BSD_SOURCE |
| 28 | #include <stdint.h> |
| 29 | #include <stdlib.h> |
| 30 | #include <string.h> |
| 31 | |
| 32 | #include "atomic.h" |
| 33 | #define ntz(x) a_ctz_l((x)) |
| 34 | |
| 35 | typedef int (*cmpfun)(const void *, const void *, void *); |
| 36 | |
| 37 | static inline int pntz(size_t p[2]) { |
| 38 | 	int r = ntz(p[0] - 1); |
| 39 | 	if(r != 0 || (r = 8*sizeof(size_t) + ntz(p[1])) != 8*sizeof(size_t)) { |
| 40 | 		return r; |
| 41 | 	} |
| 42 | 	return 0; |
| 43 | } |
| 44 | |
| 45 | static void cycle(size_t width, unsigned char* ar[], int n) |
| 46 | { |
| 47 | 	unsigned char tmp[256]; |
| 48 | 	size_t l; |
| 49 | 	int i; |
| 50 | |
| 51 | 	if(n < 2) { |
| 52 | 		return; |
| 53 | 	} |
| 54 | |
| 55 | 	ar[n] = tmp; |
| 56 | 	while(width) { |
| 57 | 		l = sizeof(tmp) < width ? sizeof(tmp) : width; |
| 58 | 		memcpy(ar[n], ar[0], l); |
| 59 | 		for(i = 0; i < n; i++) { |
| 60 | 			memcpy(ar[i], ar[i + 1], l); |
| 61 | 			ar[i] += l; |
| 62 | 		} |
| 63 | 		width -= l; |
| 64 | 	} |
| 65 | } |
| 66 | |
| 67 | /* shl() and shr() need n > 0 */ |
| 68 | static inline void shl(size_t p[2], int n) |
| 69 | { |
| 70 | 	if(n >= 8 * sizeof(size_t)) { |
| 71 | 		n -= 8 * sizeof(size_t); |
| 72 | 		p[1] = p[0]; |
| 73 | 		p[0] = 0; |
| 74 | 	} |
| 75 | 	p[1] <<= n; |
| 76 | 	p[1] |= p[0] >> (sizeof(size_t) * 8 - n); |
| 77 | 	p[0] <<= n; |
| 78 | } |
| 79 | |
| 80 | static inline void shr(size_t p[2], int n) |
| 81 | { |
| 82 | 	if(n >= 8 * sizeof(size_t)) { |
| 83 | 		n -= 8 * sizeof(size_t); |
| 84 | 		p[0] = p[1]; |
| 85 | 		p[1] = 0; |
| 86 | 	} |
| 87 | 	p[0] >>= n; |
| 88 | 	p[0] |= p[1] << (sizeof(size_t) * 8 - n); |
| 89 | 	p[1] >>= n; |
| 90 | } |
| 91 | |
| 92 | static void sift(unsigned char *head, size_t width, cmpfun cmp, void *arg, int pshift, size_t lp[]) |
| 93 | { |
| 94 | 	unsigned char *rt, *lf; |
| 95 | 	unsigned char *ar[14 * sizeof(size_t) + 1]; |
| 96 | 	int i = 1; |
| 97 | |
| 98 | 	ar[0] = head; |
| 99 | 	while(pshift > 1) { |
| 100 | 		rt = head - width; |
| 101 | 		lf = head - width - lp[pshift - 2]; |
| 102 | |
| 103 | 		if(cmp(ar[0], lf, arg) >= 0 && cmp(ar[0], rt, arg) >= 0) { |
| 104 | 			break; |
| 105 | 		} |
| 106 | 		if(cmp(lf, rt, arg) >= 0) { |
| 107 | 			ar[i++] = lf; |
| 108 | 			head = lf; |
| 109 | 			pshift -= 1; |
| 110 | 		} else { |
| 111 | 			ar[i++] = rt; |
| 112 | 			head = rt; |
| 113 | 			pshift -= 2; |
| 114 | 		} |
| 115 | 	} |
| 116 | 	cycle(width, ar, i); |
| 117 | } |
| 118 | |
| 119 | static void trinkle(unsigned char *head, size_t width, cmpfun cmp, void *arg, size_t pp[2], int pshift, int trusty, size_t lp[]) |
| 120 | { |
| 121 | 	unsigned char *stepson, |
| 122 | 	 *rt, *lf; |
| 123 | 	size_t p[2]; |
| 124 | 	unsigned char *ar[14 * sizeof(size_t) + 1]; |
| 125 | 	int i = 1; |
| 126 | 	int trail; |
| 127 | |
| 128 | 	p[0] = pp[0]; |
| 129 | 	p[1] = pp[1]; |
| 130 | |
| 131 | 	ar[0] = head; |
| 132 | 	while(p[0] != 1 || p[1] != 0) { |
| 133 | 		stepson = head - lp[pshift]; |
| 134 | 		if(cmp(stepson, ar[0], arg) <= 0) { |
| 135 | 			break; |
| 136 | 		} |
| 137 | 		if(!trusty && pshift > 1) { |
| 138 | 			rt = head - width; |
| 139 | 			lf = head - width - lp[pshift - 2]; |
| 140 | 			if(cmp(rt, stepson, arg) >= 0 || cmp(lf, stepson, arg) >= 0) { |
| 141 | 				break; |
| 142 | 			} |
| 143 | 		} |
| 144 | |
| 145 | 		ar[i++] = stepson; |
| 146 | 		head = stepson; |
| 147 | 		trail = pntz(p); |
| 148 | 		shr(p, trail); |
| 149 | 		pshift += trail; |
| 150 | 		trusty = 0; |
| 151 | 	} |
| 152 | 	if(!trusty) { |
| 153 | 		cycle(width, ar, i); |
| 154 | 		sift(head, width, cmp, arg, pshift, lp); |
| 155 | 	} |
| 156 | } |
| 157 | |
| 158 | void __qsort_r(void *base, size_t nel, size_t width, cmpfun cmp, void *arg) |
| 159 | { |
| 160 | 	size_t lp[12*sizeof(size_t)]; |
| 161 | 	size_t i, size = width * nel; |
| 162 | 	unsigned char *head, *high; |
| 163 | 	size_t p[2] = {1, 0}; |
| 164 | 	int pshift = 1; |
| 165 | 	int trail; |
| 166 | |
| 167 | 	if (!size) return; |
| 168 | |
| 169 | 	head = base; |
| 170 | 	high = head + size - width; |
| 171 | |
| 172 | 	/* Precompute Leonardo numbers, scaled by element width */ |
| 173 | 	for(lp[0]=lp[1]=width, i=2; (lp[i]=lp[i-2]+lp[i-1]+width) < size; i++); |
| 174 | |
| 175 | 	while(head < high) { |
| 176 | 		if((p[0] & 3) == 3) { |
| 177 | 			sift(head, width, cmp, arg, pshift, lp); |
| 178 | 			shr(p, 2); |
| 179 | 			pshift += 2; |
| 180 | 		} else { |
| 181 | 			if(lp[pshift - 1] >= high - head) { |
| 182 | 				trinkle(head, width, cmp, arg, p, pshift, 0, lp); |
| 183 | 			} else { |
| 184 | 				sift(head, width, cmp, arg, pshift, lp); |
| 185 | 			} |
| 186 | |
| 187 | 			if(pshift == 1) { |
| 188 | 				shl(p, 1); |
| 189 | 				pshift = 0; |
| 190 | 			} else { |
| 191 | 				shl(p, pshift - 1); |
| 192 | 				pshift = 1; |
| 193 | 			} |
| 194 | 		} |
| 195 | |
| 196 | 		p[0] |= 1; |
| 197 | 		head += width; |
| 198 | 	} |
| 199 | |
| 200 | 	trinkle(head, width, cmp, arg, p, pshift, 0, lp); |
| 201 | |
| 202 | 	while(pshift != 1 || p[0] != 1 || p[1] != 0) { |
| 203 | 		if(pshift <= 1) { |
| 204 | 			trail = pntz(p); |
| 205 | 			shr(p, trail); |
| 206 | 			pshift += trail; |
| 207 | 		} else { |
| 208 | 			shl(p, 2); |
| 209 | 			pshift -= 2; |
| 210 | 			p[0] ^= 7; |
| 211 | 			shr(p, 1); |
| 212 | 			trinkle(head - lp[pshift] - width, width, cmp, arg, p, pshift + 1, 1, lp); |
| 213 | 			shl(p, 1); |
| 214 | 			p[0] |= 1; |
| 215 | 			trinkle(head - width, width, cmp, arg, p, pshift, 1, lp); |
| 216 | 		} |
| 217 | 		head -= width; |
| 218 | 	} |
| 219 | } |
| 220 | |
| 221 | weak_alias(__qsort_r, qsort_r); |