307 lines
8.5 KiB
C++
307 lines
8.5 KiB
C++
/*************************************************************************/
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/* sort.h */
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/*************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* https://godotengine.org */
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/*************************************************************************/
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/* Copyright (c) 2007-2019 Juan Linietsky, Ariel Manzur. */
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/* Copyright (c) 2014-2019 Godot Engine contributors (cf. AUTHORS.md) */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/*************************************************************************/
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#ifndef SORT_H
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#define SORT_H
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#include "typedefs.h"
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/**
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@author ,,, <red@lunatea>
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*/
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template <class T>
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struct _DefaultComparator {
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inline bool operator()(const T &a, const T &b) const { return (a < b); }
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};
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template <class T, class Comparator = _DefaultComparator<T> >
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class SortArray {
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enum {
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INTROSORT_TRESHOLD = 16
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};
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public:
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Comparator compare;
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inline const T &median_of_3(const T &a, const T &b, const T &c) const {
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if (compare(a, b))
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if (compare(b, c))
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return b;
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else if (compare(a, c))
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return c;
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else
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return a;
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else if (compare(a, c))
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return a;
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else if (compare(b, c))
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return c;
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else
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return b;
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}
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inline int bitlog(int n) const {
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int k;
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for (k = 0; n != 1; n >>= 1)
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++k;
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return k;
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}
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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;
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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];
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p_hole_idx = parent;
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parent = (p_hole_idx - 1) / 2;
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}
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p_array[p_first + p_hole_idx] = p_value;
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}
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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];
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adjust_heap(p_first, 0, p_last - p_first, p_value, p_array);
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}
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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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}
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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;
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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)]))
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second_child--;
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p_array[p_first + p_hole_idx] = p_array[p_first + second_child];
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p_hole_idx = second_child;
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second_child = 2 * (second_child + 1);
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}
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if (second_child == p_len) {
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p_array[p_first + p_hole_idx] = p_array[p_first + (second_child - 1)];
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p_hole_idx = second_child - 1;
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}
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push_heap(p_first, p_hole_idx, top_index, p_value, p_array);
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}
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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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}
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}
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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;
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int len = p_last - p_first;
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int parent = (len - 2) / 2;
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while (true) {
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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;
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parent--;
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}
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}
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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]))
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pop_heap(p_first, p_middle, i, p_array[i], p_array);
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sort_heap(p_first, p_middle, p_array);
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}
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inline void partial_select(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]))
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pop_heap(p_first, p_middle, i, p_array[i], p_array);
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}
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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++;
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p_last--;
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while (compare(p_pivot, p_array[p_last]))
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p_last--;
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if (!(p_first < p_last))
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return p_first;
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SWAP(p_array[p_first], p_array[p_last]);
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p_first++;
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}
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}
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inline void introsort(int p_first, int p_last, T *p_array, int p_max_depth) const {
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while (p_last - p_first > INTROSORT_TRESHOLD) {
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if (p_max_depth == 0) {
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partial_sort(p_first, p_last, p_last, p_array);
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return;
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}
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p_max_depth--;
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int cut = partitioner(
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p_first,
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p_last,
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median_of_3(
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p_array[p_first],
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p_array[p_first + (p_last - p_first) / 2],
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p_array[p_last - 1]),
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p_array);
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introsort(cut, p_last, p_array, p_max_depth);
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p_last = cut;
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}
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}
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inline void introselect(int p_first, int p_nth, int p_last, T *p_array, int p_max_depth) const {
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while (p_last - p_first > 3) {
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if (p_max_depth == 0) {
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partial_select(p_first, p_nth + 1, p_last, p_array);
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SWAP(p_first, p_nth);
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return;
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}
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p_max_depth--;
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int cut = partitioner(
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p_first,
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p_last,
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median_of_3(
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p_array[p_first],
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p_array[p_first + (p_last - p_first) / 2],
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p_array[p_last - 1]),
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p_array);
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if (cut <= p_nth)
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p_first = cut;
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else
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p_last = cut;
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}
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insertion_sort(p_first, p_last, p_array);
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}
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inline void unguarded_linear_insert(int p_last, T p_value, T *p_array) const {
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int next = p_last - 1;
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while (compare(p_value, p_array[next])) {
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p_array[p_last] = p_array[next];
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p_last = next;
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next--;
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}
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p_array[p_last] = p_value;
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}
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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];
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if (compare(val, p_array[p_first])) {
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for (int i = p_last; i > p_first; i--)
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p_array[i] = p_array[i - 1];
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p_array[p_first] = val;
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} 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)
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return;
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for (int i = p_first + 1; i != p_last; i++)
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linear_insert(p_first, i, p_array);
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}
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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++)
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unguarded_linear_insert(i, p_array[i], p_array);
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}
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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) {
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insertion_sort(p_first, p_first + INTROSORT_TRESHOLD, p_array);
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unguarded_insertion_sort(p_first + INTROSORT_TRESHOLD, p_last, p_array);
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} else {
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insertion_sort(p_first, p_last, p_array);
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}
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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) {
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introsort(p_first, p_last, p_array, bitlog(p_last - p_first) * 2);
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final_insertion_sort(p_first, p_last, p_array);
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}
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}
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inline void sort(T *p_array, int p_len) const {
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sort_range(0, p_len, p_array);
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}
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inline void nth_element(int p_first, int p_last, int p_nth, T *p_array) const {
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if (p_first == p_last || p_nth == p_last)
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return;
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introselect(p_first, p_nth, p_last, p_array, bitlog(p_last - p_first) * 2);
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}
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};
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#endif
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