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602 lines
14 KiB
602 lines
14 KiB
/*
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* Taken from https://github.com/swenson/sort
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* Revision: 05fd77bfec049ce8b7c408c4d3dd2d51ee061a15
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* Removed all code unrelated to Timsort and made minor adjustments for
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* cross-platform compatibility.
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*/
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/*
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* The MIT License (MIT)
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*
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* Copyright (c) 2010-2017 Christopher Swenson.
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* Copyright (c) 2012 Vojtech Fried.
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* Copyright (c) 2012 Google Inc. All Rights Reserved.
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*
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* Permission is hereby granted, free of charge, to any person obtaining a
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* copy of this software and associated documentation files (the "Software"),
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* to deal in the Software without restriction, including without limitation
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* the rights to use, copy, modify, merge, publish, distribute, sublicense,
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* and/or sell copies of the Software, and to permit persons to whom the
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* Software is furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* 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, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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* DEALINGS IN THE SOFTWARE.
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include <string.h>
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#ifdef HAVE_STDINT_H
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#include <stdint.h>
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#elif defined(_WIN32)
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typedef unsigned __int64 uint64_t;
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#endif
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#ifndef SORT_NAME
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#error "Must declare SORT_NAME"
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#endif
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#ifndef SORT_TYPE
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#error "Must declare SORT_TYPE"
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#endif
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#ifndef SORT_CMP
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#define SORT_CMP(x, y) ((x) < (y) ? -1 : ((x) == (y) ? 0 : 1))
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#endif
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#ifndef TIM_SORT_STACK_SIZE
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#define TIM_SORT_STACK_SIZE 128
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#endif
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#define SORT_SWAP(x,y) {SORT_TYPE __SORT_SWAP_t = (x); (x) = (y); (y) = __SORT_SWAP_t;}
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/* Common, type-agnostic functions and constants that we don't want to declare twice. */
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#ifndef SORT_COMMON_H
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#define SORT_COMMON_H
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#ifndef MAX
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#define MAX(x,y) (((x) > (y) ? (x) : (y)))
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#endif
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#ifndef MIN
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#define MIN(x,y) (((x) < (y) ? (x) : (y)))
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#endif
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static int compute_minrun(const uint64_t);
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#ifndef CLZ
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#if defined(__GNUC__) && ((__GNUC__ == 3 && __GNUC_MINOR__ >= 4) || (__GNUC__ > 3))
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#define CLZ __builtin_clzll
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#else
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static int clzll(uint64_t);
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/* adapted from Hacker's Delight */
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static int clzll(uint64_t x) {
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int n;
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if (x == 0) {
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return 64;
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}
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n = 0;
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if (x <= 0x00000000FFFFFFFFL) {
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n = n + 32;
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x = x << 32;
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}
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if (x <= 0x0000FFFFFFFFFFFFL) {
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n = n + 16;
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x = x << 16;
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}
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if (x <= 0x00FFFFFFFFFFFFFFL) {
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n = n + 8;
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x = x << 8;
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}
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if (x <= 0x0FFFFFFFFFFFFFFFL) {
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n = n + 4;
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x = x << 4;
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}
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if (x <= 0x3FFFFFFFFFFFFFFFL) {
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n = n + 2;
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x = x << 2;
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}
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if (x <= 0x7FFFFFFFFFFFFFFFL) {
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n = n + 1;
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}
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return n;
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}
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#define CLZ clzll
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#endif
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#endif
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static __inline int compute_minrun(const uint64_t size) {
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const int top_bit = 64 - CLZ(size);
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const int shift = MAX(top_bit, 6) - 6;
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const int minrun = size >> shift;
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const uint64_t mask = (1ULL << shift) - 1;
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if (mask & size) {
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return minrun + 1;
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}
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return minrun;
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}
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#endif /* SORT_COMMON_H */
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#define SORT_CONCAT(x, y) x ## _ ## y
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#define SORT_MAKE_STR1(x, y) SORT_CONCAT(x,y)
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#define SORT_MAKE_STR(x) SORT_MAKE_STR1(SORT_NAME,x)
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#define BINARY_INSERTION_FIND SORT_MAKE_STR(binary_insertion_find)
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#define BINARY_INSERTION_SORT_START SORT_MAKE_STR(binary_insertion_sort_start)
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#define BINARY_INSERTION_SORT SORT_MAKE_STR(binary_insertion_sort)
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#define REVERSE_ELEMENTS SORT_MAKE_STR(reverse_elements)
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#define COUNT_RUN SORT_MAKE_STR(count_run)
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#define CHECK_INVARIANT SORT_MAKE_STR(check_invariant)
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#define TIM_SORT SORT_MAKE_STR(tim_sort)
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#define TIM_SORT_RESIZE SORT_MAKE_STR(tim_sort_resize)
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#define TIM_SORT_MERGE SORT_MAKE_STR(tim_sort_merge)
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#define TIM_SORT_COLLAPSE SORT_MAKE_STR(tim_sort_collapse)
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#ifndef MAX
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#define MAX(x,y) (((x) > (y) ? (x) : (y)))
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#endif
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#ifndef MIN
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#define MIN(x,y) (((x) < (y) ? (x) : (y)))
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#endif
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typedef struct {
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size_t start;
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size_t length;
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} TIM_SORT_RUN_T;
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void BINARY_INSERTION_SORT(SORT_TYPE *dst, const size_t size);
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void TIM_SORT(SORT_TYPE *dst, const size_t size);
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/* Function used to do a binary search for binary insertion sort */
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static __inline size_t BINARY_INSERTION_FIND(SORT_TYPE *dst, const SORT_TYPE x,
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const size_t size) {
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size_t l, c, r;
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SORT_TYPE cx;
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l = 0;
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r = size - 1;
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c = r >> 1;
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/* check for out of bounds at the beginning. */
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if (SORT_CMP(x, dst[0]) < 0) {
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return 0;
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} else if (SORT_CMP(x, dst[r]) > 0) {
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return r;
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}
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cx = dst[c];
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while (1) {
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const int val = SORT_CMP(x, cx);
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if (val < 0) {
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if (c - l <= 1) {
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return c;
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}
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r = c;
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} else { /* allow = for stability. The binary search favors the right. */
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if (r - c <= 1) {
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return c + 1;
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}
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l = c;
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}
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c = l + ((r - l) >> 1);
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cx = dst[c];
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}
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}
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/* Binary insertion sort, but knowing that the first "start" entries are sorted. Used in timsort. */
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static void BINARY_INSERTION_SORT_START(SORT_TYPE *dst, const size_t start, const size_t size) {
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size_t i;
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for (i = start; i < size; i++) {
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size_t j;
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SORT_TYPE x;
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size_t location;
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/* If this entry is already correct, just move along */
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if (SORT_CMP(dst[i - 1], dst[i]) <= 0) {
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continue;
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}
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/* Else we need to find the right place, shift everything over, and squeeze in */
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x = dst[i];
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location = BINARY_INSERTION_FIND(dst, x, i);
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for (j = i - 1; j >= location; j--) {
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dst[j + 1] = dst[j];
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if (j == 0) { /* check edge case because j is unsigned */
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break;
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}
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}
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dst[location] = x;
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}
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}
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/* Binary insertion sort */
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void BINARY_INSERTION_SORT(SORT_TYPE *dst, const size_t size) {
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/* don't bother sorting an array of size <= 1 */
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if (size <= 1) {
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return;
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}
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BINARY_INSERTION_SORT_START(dst, 1, size);
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}
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/* timsort implementation, based on timsort.txt */
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static __inline void REVERSE_ELEMENTS(SORT_TYPE *dst, size_t start, size_t end) {
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while (1) {
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if (start >= end) {
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return;
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}
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SORT_SWAP(dst[start], dst[end]);
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start++;
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end--;
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}
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}
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static size_t COUNT_RUN(SORT_TYPE *dst, const size_t start, const size_t size) {
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size_t curr;
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if (size - start == 1) {
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return 1;
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}
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if (start >= size - 2) {
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if (SORT_CMP(dst[size - 2], dst[size - 1]) > 0) {
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SORT_SWAP(dst[size - 2], dst[size - 1]);
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}
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return 2;
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}
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curr = start + 2;
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if (SORT_CMP(dst[start], dst[start + 1]) <= 0) {
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/* increasing run */
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while (1) {
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if (curr == size - 1) {
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break;
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}
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if (SORT_CMP(dst[curr - 1], dst[curr]) > 0) {
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break;
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}
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curr++;
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}
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return curr - start;
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} else {
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/* decreasing run */
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while (1) {
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if (curr == size - 1) {
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break;
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}
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if (SORT_CMP(dst[curr - 1], dst[curr]) <= 0) {
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break;
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}
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curr++;
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}
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/* reverse in-place */
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REVERSE_ELEMENTS(dst, start, curr - 1);
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return curr - start;
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}
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}
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static int CHECK_INVARIANT(TIM_SORT_RUN_T *stack, const int stack_curr) {
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size_t A, B, C;
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if (stack_curr < 2) {
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return 1;
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}
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if (stack_curr == 2) {
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const size_t A1 = stack[stack_curr - 2].length;
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const size_t B1 = stack[stack_curr - 1].length;
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if (A1 <= B1) {
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return 0;
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}
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return 1;
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}
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A = stack[stack_curr - 3].length;
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B = stack[stack_curr - 2].length;
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C = stack[stack_curr - 1].length;
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if ((A <= B + C) || (B <= C)) {
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return 0;
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}
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return 1;
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}
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typedef struct {
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size_t alloc;
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SORT_TYPE *storage;
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} TEMP_STORAGE_T;
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static void TIM_SORT_RESIZE(TEMP_STORAGE_T *store, const size_t new_size) {
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if (store->alloc < new_size) {
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SORT_TYPE *tempstore = (SORT_TYPE *)realloc(store->storage, new_size * sizeof(SORT_TYPE));
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if (tempstore == NULL) {
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fprintf(stderr, "Error allocating temporary storage for tim sort: need %lu bytes",
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(unsigned long)(sizeof(SORT_TYPE) * new_size));
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exit(1);
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}
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store->storage = tempstore;
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store->alloc = new_size;
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}
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}
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static void TIM_SORT_MERGE(SORT_TYPE *dst, const TIM_SORT_RUN_T *stack, const int stack_curr,
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TEMP_STORAGE_T *store) {
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const size_t A = stack[stack_curr - 2].length;
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const size_t B = stack[stack_curr - 1].length;
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const size_t curr = stack[stack_curr - 2].start;
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SORT_TYPE *storage;
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size_t i, j, k;
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TIM_SORT_RESIZE(store, MIN(A, B));
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storage = store->storage;
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/* left merge */
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if (A < B) {
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memcpy(storage, &dst[curr], A * sizeof(SORT_TYPE));
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i = 0;
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j = curr + A;
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for (k = curr; k < curr + A + B; k++) {
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if ((i < A) && (j < curr + A + B)) {
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if (SORT_CMP(storage[i], dst[j]) <= 0) {
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dst[k] = storage[i++];
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} else {
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dst[k] = dst[j++];
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}
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} else if (i < A) {
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dst[k] = storage[i++];
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} else {
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break;
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}
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}
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} else {
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/* right merge */
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memcpy(storage, &dst[curr + A], B * sizeof(SORT_TYPE));
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i = B;
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j = curr + A;
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k = curr + A + B;
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while (k > curr) {
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k--;
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if ((i > 0) && (j > curr)) {
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if (SORT_CMP(dst[j - 1], storage[i - 1]) > 0) {
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dst[k] = dst[--j];
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} else {
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dst[k] = storage[--i];
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}
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} else if (i > 0) {
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dst[k] = storage[--i];
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} else {
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break;
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}
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}
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}
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}
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static int TIM_SORT_COLLAPSE(SORT_TYPE *dst, TIM_SORT_RUN_T *stack, int stack_curr,
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TEMP_STORAGE_T *store, const size_t size) {
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while (1) {
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size_t A, B, C, D;
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int ABC, BCD, CD;
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/* if the stack only has one thing on it, we are done with the collapse */
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if (stack_curr <= 1) {
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break;
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}
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/* if this is the last merge, just do it */
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if ((stack_curr == 2) && (stack[0].length + stack[1].length == size)) {
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TIM_SORT_MERGE(dst, stack, stack_curr, store);
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stack[0].length += stack[1].length;
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stack_curr--;
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break;
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}
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/* check if the invariant is off for a stack of 2 elements */
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else if ((stack_curr == 2) && (stack[0].length <= stack[1].length)) {
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TIM_SORT_MERGE(dst, stack, stack_curr, store);
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stack[0].length += stack[1].length;
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stack_curr--;
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break;
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} else if (stack_curr == 2) {
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break;
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}
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B = stack[stack_curr - 3].length;
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C = stack[stack_curr - 2].length;
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D = stack[stack_curr - 1].length;
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if (stack_curr >= 4) {
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A = stack[stack_curr - 4].length;
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ABC = (A <= B + C);
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} else {
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ABC = 0;
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}
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BCD = (B <= C + D) || ABC;
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CD = (C <= D);
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/* Both invariants are good */
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if (!BCD && !CD) {
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break;
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}
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/* left merge */
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if (BCD && !CD) {
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TIM_SORT_MERGE(dst, stack, stack_curr - 1, store);
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stack[stack_curr - 3].length += stack[stack_curr - 2].length;
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stack[stack_curr - 2] = stack[stack_curr - 1];
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stack_curr--;
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} else {
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/* right merge */
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TIM_SORT_MERGE(dst, stack, stack_curr, store);
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stack[stack_curr - 2].length += stack[stack_curr - 1].length;
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stack_curr--;
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}
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}
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return stack_curr;
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}
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static __inline int PUSH_NEXT(SORT_TYPE *dst,
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const size_t size,
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TEMP_STORAGE_T *store,
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const size_t minrun,
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TIM_SORT_RUN_T *run_stack,
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size_t *stack_curr,
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size_t *curr) {
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size_t len = COUNT_RUN(dst, *curr, size);
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size_t run = minrun;
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if (run > size - *curr) {
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run = size - *curr;
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}
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if (run > len) {
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BINARY_INSERTION_SORT_START(&dst[*curr], len, run);
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len = run;
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}
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run_stack[*stack_curr].start = *curr;
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run_stack[*stack_curr].length = len;
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(*stack_curr)++;
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*curr += len;
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if (*curr == size) {
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/* finish up */
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while (*stack_curr > 1) {
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TIM_SORT_MERGE(dst, run_stack, *stack_curr, store);
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run_stack[*stack_curr - 2].length += run_stack[*stack_curr - 1].length;
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(*stack_curr)--;
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}
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if (store->storage != NULL) {
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free(store->storage);
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store->storage = NULL;
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}
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return 0;
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}
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return 1;
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}
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void TIM_SORT(SORT_TYPE *dst, const size_t size) {
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size_t minrun;
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TEMP_STORAGE_T _store, *store;
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TIM_SORT_RUN_T run_stack[TIM_SORT_STACK_SIZE];
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size_t stack_curr = 0;
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size_t curr = 0;
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/* don't bother sorting an array of size 1 */
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if (size <= 1) {
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return;
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}
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if (size < 64) {
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BINARY_INSERTION_SORT(dst, size);
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return;
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}
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|
|
/* compute the minimum run length */
|
|
minrun = compute_minrun(size);
|
|
/* temporary storage for merges */
|
|
store = &_store;
|
|
store->alloc = 0;
|
|
store->storage = NULL;
|
|
|
|
if (!PUSH_NEXT(dst, size, store, minrun, run_stack, &stack_curr, &curr)) {
|
|
return;
|
|
}
|
|
|
|
if (!PUSH_NEXT(dst, size, store, minrun, run_stack, &stack_curr, &curr)) {
|
|
return;
|
|
}
|
|
|
|
if (!PUSH_NEXT(dst, size, store, minrun, run_stack, &stack_curr, &curr)) {
|
|
return;
|
|
}
|
|
|
|
while (1) {
|
|
if (!CHECK_INVARIANT(run_stack, stack_curr)) {
|
|
stack_curr = TIM_SORT_COLLAPSE(dst, run_stack, stack_curr, store, size);
|
|
continue;
|
|
}
|
|
|
|
if (!PUSH_NEXT(dst, size, store, minrun, run_stack, &stack_curr, &curr)) {
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
|
|
#undef SORT_CONCAT
|
|
#undef SORT_MAKE_STR1
|
|
#undef SORT_MAKE_STR
|
|
#undef SORT_NAME
|
|
#undef SORT_TYPE
|
|
#undef SORT_CMP
|
|
#undef TEMP_STORAGE_T
|
|
#undef TIM_SORT_RUN_T
|
|
#undef PUSH_NEXT
|
|
#undef SORT_SWAP
|
|
#undef SORT_CONCAT
|
|
#undef SORT_MAKE_STR1
|
|
#undef SORT_MAKE_STR
|
|
#undef BINARY_INSERTION_FIND
|
|
#undef BINARY_INSERTION_SORT_START
|
|
#undef BINARY_INSERTION_SORT
|
|
#undef REVERSE_ELEMENTS
|
|
#undef COUNT_RUN
|
|
#undef TIM_SORT
|
|
#undef TIM_SORT_RESIZE
|
|
#undef TIM_SORT_COLLAPSE
|
|
#undef TIM_SORT_RUN_T
|
|
#undef TEMP_STORAGE_T
|