1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307
|
/*************************************************************************/
/* sort.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2018 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2018 Godot Engine contributors (cf. AUTHORS.md) */
/* */
/* 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. */
/*************************************************************************/
#ifndef SORT_H
#define SORT_H
#include "typedefs.h"
/**
@author ,,, <red@lunatea>
*/
template <class T>
struct _DefaultComparator {
inline bool operator()(const T &a, const T &b) const { return (a < b); }
};
template <class T, class Comparator = _DefaultComparator<T> >
class SortArray {
enum {
INTROSORT_THRESHOLD = 16
};
public:
Comparator compare;
inline const T &median_of_3(const T &a, const T &b, const T &c) const {
if (compare(a, b))
if (compare(b, c))
return b;
else if (compare(a, c))
return c;
else
return a;
else if (compare(a, c))
return a;
else if (compare(b, c))
return c;
else
return b;
}
inline int bitlog(int n) const {
int k;
for (k = 0; n != 1; n >>= 1)
++k;
return k;
}
/* Heap / Heapsort functions */
inline void push_heap(int p_first, int p_hole_idx, int p_top_index, T p_value, T *p_array) const {
int parent = (p_hole_idx - 1) / 2;
while (p_hole_idx > p_top_index && compare(p_array[p_first + parent], p_value)) {
p_array[p_first + p_hole_idx] = p_array[p_first + parent];
p_hole_idx = parent;
parent = (p_hole_idx - 1) / 2;
}
p_array[p_first + p_hole_idx] = p_value;
}
inline void pop_heap(int p_first, int p_last, int p_result, T p_value, T *p_array) const {
p_array[p_result] = p_array[p_first];
adjust_heap(p_first, 0, p_last - p_first, p_value, p_array);
}
inline void pop_heap(int p_first, int p_last, T *p_array) const {
pop_heap(p_first, p_last - 1, p_last - 1, p_array[p_last - 1], p_array);
}
inline void adjust_heap(int p_first, int p_hole_idx, int p_len, T p_value, T *p_array) const {
int top_index = p_hole_idx;
int second_child = 2 * p_hole_idx + 2;
while (second_child < p_len) {
if (compare(p_array[p_first + second_child], p_array[p_first + (second_child - 1)]))
second_child--;
p_array[p_first + p_hole_idx] = p_array[p_first + second_child];
p_hole_idx = second_child;
second_child = 2 * (second_child + 1);
}
if (second_child == p_len) {
p_array[p_first + p_hole_idx] = p_array[p_first + (second_child - 1)];
p_hole_idx = second_child - 1;
}
push_heap(p_first, p_hole_idx, top_index, p_value, p_array);
}
inline void sort_heap(int p_first, int p_last, T *p_array) const {
while (p_last - p_first > 1) {
pop_heap(p_first, p_last--, p_array);
}
}
inline void make_heap(int p_first, int p_last, T *p_array) const {
if (p_last - p_first < 2)
return;
int len = p_last - p_first;
int parent = (len - 2) / 2;
while (true) {
adjust_heap(p_first, parent, len, p_array[p_first + parent], p_array);
if (parent == 0)
return;
parent--;
}
}
inline void partial_sort(int p_first, int p_last, int p_middle, T *p_array) const {
make_heap(p_first, p_middle, p_array);
for (int i = p_middle; i < p_last; i++)
if (compare(p_array[i], p_array[p_first]))
pop_heap(p_first, p_middle, i, p_array[i], p_array);
sort_heap(p_first, p_middle, p_array);
}
inline void partial_select(int p_first, int p_last, int p_middle, T *p_array) const {
make_heap(p_first, p_middle, p_array);
for (int i = p_middle; i < p_last; i++)
if (compare(p_array[i], p_array[p_first]))
pop_heap(p_first, p_middle, i, p_array[i], p_array);
}
inline int partitioner(int p_first, int p_last, T p_pivot, T *p_array) const {
while (true) {
while (compare(p_array[p_first], p_pivot))
p_first++;
p_last--;
while (compare(p_pivot, p_array[p_last]))
p_last--;
if (!(p_first < p_last))
return p_first;
SWAP(p_array[p_first], p_array[p_last]);
p_first++;
}
}
inline void introsort(int p_first, int p_last, T *p_array, int p_max_depth) const {
while (p_last - p_first > INTROSORT_THRESHOLD) {
if (p_max_depth == 0) {
partial_sort(p_first, p_last, p_last, p_array);
return;
}
p_max_depth--;
int cut = partitioner(
p_first,
p_last,
median_of_3(
p_array[p_first],
p_array[p_first + (p_last - p_first) / 2],
p_array[p_last - 1]),
p_array);
introsort(cut, p_last, p_array, p_max_depth);
p_last = cut;
}
}
inline void introselect(int p_first, int p_nth, int p_last, T *p_array, int p_max_depth) const {
while (p_last - p_first > 3) {
if (p_max_depth == 0) {
partial_select(p_first, p_nth + 1, p_last, p_array);
SWAP(p_first, p_nth);
return;
}
p_max_depth--;
int cut = partitioner(
p_first,
p_last,
median_of_3(
p_array[p_first],
p_array[p_first + (p_last - p_first) / 2],
p_array[p_last - 1]),
p_array);
if (cut <= p_nth)
p_first = cut;
else
p_last = cut;
}
insertion_sort(p_first, p_last, p_array);
}
inline void unguarded_linear_insert(int p_last, T p_value, T *p_array) const {
int next = p_last - 1;
while (compare(p_value, p_array[next])) {
p_array[p_last] = p_array[next];
p_last = next;
next--;
}
p_array[p_last] = p_value;
}
inline void linear_insert(int p_first, int p_last, T *p_array) const {
T val = p_array[p_last];
if (compare(val, p_array[p_first])) {
for (int i = p_last; i > p_first; i--)
p_array[i] = p_array[i - 1];
p_array[p_first] = val;
} else
unguarded_linear_insert(p_last, val, p_array);
}
inline void insertion_sort(int p_first, int p_last, T *p_array) const {
if (p_first == p_last)
return;
for (int i = p_first + 1; i != p_last; i++)
linear_insert(p_first, i, p_array);
}
inline void unguarded_insertion_sort(int p_first, int p_last, T *p_array) const {
for (int i = p_first; i != p_last; i++)
unguarded_linear_insert(i, p_array[i], p_array);
}
inline void final_insertion_sort(int p_first, int p_last, T *p_array) const {
if (p_last - p_first > INTROSORT_THRESHOLD) {
insertion_sort(p_first, p_first + INTROSORT_THRESHOLD, p_array);
unguarded_insertion_sort(p_first + INTROSORT_THRESHOLD, p_last, p_array);
} else {
insertion_sort(p_first, p_last, p_array);
}
}
inline void sort_range(int p_first, int p_last, T *p_array) const {
if (p_first != p_last) {
introsort(p_first, p_last, p_array, bitlog(p_last - p_first) * 2);
final_insertion_sort(p_first, p_last, p_array);
}
}
inline void sort(T *p_array, int p_len) const {
sort_range(0, p_len, p_array);
}
inline void nth_element(int p_first, int p_last, int p_nth, T *p_array) const {
if (p_first == p_last || p_nth == p_last)
return;
introselect(p_first, p_nth, p_last, p_array, bitlog(p_last - p_first) * 2);
}
};
#endif
|