godot/core/sort.h

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/*************************************************************************/
/* sort.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* http://www.godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */
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/* */
/* 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 {
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INTROSORT_TRESHOLD=16
};
public:
Comparator compare;
inline const T& median_of_3(const T& a, const T& b, const T& c) const {
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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;
}
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inline int bitlog(int n) const {
int k;
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for (k = 0; n != 1; n >>= 1)
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++k;
return k;
}
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/* Heap / Heapsort functions */
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inline void push_heap(int p_first,int p_hole_idx,int p_top_index,T p_value,T* p_array) const {
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int parent = (p_hole_idx - 1) / 2;
while (p_hole_idx > p_top_index && compare(p_array[p_first + parent], p_value)) {
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p_array[p_first + p_hole_idx] = p_array[p_first + parent];
p_hole_idx = parent;
parent = (p_hole_idx - 1) / 2;
}
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p_array[p_first + p_hole_idx] = p_value;
}
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inline void pop_heap(int p_first, int p_last, int p_result, T p_value, T* p_array) const {
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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 {
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pop_heap(p_first,p_last-1,p_last-1,p_array[p_last-1],p_array);
}
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inline void adjust_heap(int p_first,int p_hole_idx,int p_len,T p_value,T* p_array) const {
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int top_index = p_hole_idx;
int second_child = 2 * p_hole_idx + 2;
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while (second_child < p_len) {
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if (compare(p_array[p_first + second_child],p_array[p_first + (second_child - 1)]))
second_child--;
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p_array[p_first + p_hole_idx] = p_array[p_first + second_child];
p_hole_idx = second_child;
second_child = 2 * (second_child + 1);
}
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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);
}
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inline void sort_heap(int p_first,int p_last,T* p_array) const {
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while(p_last-p_first > 1) {
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pop_heap(p_first,p_last--,p_array);
}
}
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inline void make_heap(int p_first, int p_last,T* p_array) const {
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if (p_last - p_first < 2)
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return;
int len = p_last - p_first;
int parent = (len - 2)/2;
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while (true) {
adjust_heap(p_first, parent, len, p_array[p_first + parent], p_array);
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if (parent == 0)
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return;
parent--;
}
}
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inline void partial_sort(int p_first,int p_last,int p_middle,T* p_array) const {
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make_heap(p_first,p_middle,p_array);
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for(int i=p_middle;i<p_last;i++)
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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 {
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while (true) {
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while (compare(p_array[p_first],p_pivot))
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p_first++;
p_last--;
while (compare(p_pivot,p_array[p_last]))
p_last--;
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if (!(p_first < p_last))
return p_first;
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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_TRESHOLD ) {
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if (p_max_depth == 0) {
partial_sort(p_first,p_last,p_last,p_array);
return;
}
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p_max_depth--;
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int cut = partitioner(
p_first,
p_last,
median_of_3(
p_array[p_first],
p_array[p_first + (p_last-p_first)/2],
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p_array[p_last-1]
),
p_array
);
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introsort(cut,p_last,p_array,p_max_depth);
p_last=cut;
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}
}
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 {
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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;
}
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inline void linear_insert(int p_first,int p_last,T*p_array) const {
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T val = p_array[p_last];
if (compare(val, p_array[p_first])) {
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for (int i=p_last; i>p_first; i--)
p_array[i]=p_array[i-1];
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p_array[p_first] = val;
} else
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unguarded_linear_insert(p_last, val, p_array);
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}
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inline void insertion_sort(int p_first,int p_last,T* p_array) const {
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if (p_first==p_last)
return;
for (int i=p_first+1; i!=p_last ; i++)
linear_insert(p_first,i,p_array);
}
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inline void unguarded_insertion_sort(int p_first,int p_last,T* p_array) const {
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for (int i=p_first; i!=p_last ; i++)
unguarded_linear_insert(i,p_array[i],p_array);
}
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inline void final_insertion_sort(int p_first,int p_last,T* p_array) const {
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if (p_last - p_first > INTROSORT_TRESHOLD) {
insertion_sort(p_first,p_first+INTROSORT_TRESHOLD,p_array);
unguarded_insertion_sort(p_first+INTROSORT_TRESHOLD,p_last,p_array);
} else {
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insertion_sort(p_first,p_last,p_array);
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}
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}
inline void sort_range(int p_first, int p_last,T* p_array) const {
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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 {
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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