--- /dev/null
+/* The MIT License
+
+ Copyright (c) 2008, 2009 by Heng Li <lh3@live.co.uk>
+
+ 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.
+*/
+
+/*
+ 2008-11-16 (0.1.4):
+
+ * Fixed a bug in introsort() that happens in rare cases.
+
+ 2008-11-05 (0.1.3):
+
+ * Fixed a bug in introsort() for complex comparisons.
+
+ * Fixed a bug in mergesort(). The previous version is not stable.
+
+ 2008-09-15 (0.1.2):
+
+ * Accelerated introsort. On my Mac (not on another Linux machine),
+ my implementation is as fast as std::sort on random input.
+
+ * Added combsort and in introsort, switch to combsort if the
+ recursion is too deep.
+
+ 2008-09-13 (0.1.1):
+
+ * Added k-small algorithm
+
+ 2008-09-05 (0.1.0):
+
+ * Initial version
+
+*/
+
+#ifndef AC_KSORT_H
+#define AC_KSORT_H
+
+#include <stdlib.h>
+#include <string.h>
+
+typedef struct {
+ void *left, *right;
+ int depth;
+} ks_isort_stack_t;
+
+#define KSORT_SWAP(type_t, a, b) { register type_t t=(a); (a)=(b); (b)=t; }
+
+#define KSORT_INIT(name, type_t, __sort_lt) \
+ void ks_mergesort_##name(size_t n, type_t array[], type_t temp[]) \
+ { \
+ type_t *a2[2], *a, *b; \
+ int curr, shift; \
+ \
+ a2[0] = array; \
+ a2[1] = temp? temp : (type_t*)malloc(sizeof(type_t) * n); \
+ for (curr = 0, shift = 0; (1ul<<shift) < n; ++shift) { \
+ a = a2[curr]; b = a2[1-curr]; \
+ if (shift == 0) { \
+ type_t *p = b, *i, *eb = a + n; \
+ for (i = a; i < eb; i += 2) { \
+ if (i == eb - 1) *p++ = *i; \
+ else { \
+ if (__sort_lt(*(i+1), *i)) { \
+ *p++ = *(i+1); *p++ = *i; \
+ } else { \
+ *p++ = *i; *p++ = *(i+1); \
+ } \
+ } \
+ } \
+ } else { \
+ size_t i, step = 1ul<<shift; \
+ for (i = 0; i < n; i += step<<1) { \
+ type_t *p, *j, *k, *ea, *eb; \
+ if (n < i + step) { \
+ ea = a + n; eb = a; \
+ } else { \
+ ea = a + i + step; \
+ eb = a + (n < i + (step<<1)? n : i + (step<<1)); \
+ } \
+ j = a + i; k = a + i + step; p = b + i; \
+ while (j < ea && k < eb) { \
+ if (__sort_lt(*k, *j)) *p++ = *k++; \
+ else *p++ = *j++; \
+ } \
+ while (j < ea) *p++ = *j++; \
+ while (k < eb) *p++ = *k++; \
+ } \
+ } \
+ curr = 1 - curr; \
+ } \
+ if (curr == 1) { \
+ type_t *p = a2[0], *i = a2[1], *eb = array + n; \
+ for (; p < eb; ++i) *p++ = *i; \
+ } \
+ if (temp == 0) free(a2[1]); \
+ } \
+ void ks_heapadjust_##name(size_t i, size_t n, type_t l[]) \
+ { \
+ size_t k = i; \
+ type_t tmp = l[i]; \
+ while ((k = (k << 1) + 1) < n) { \
+ if (k != n - 1 && __sort_lt(l[k], l[k+1])) ++k; \
+ if (__sort_lt(l[k], tmp)) break; \
+ l[i] = l[k]; i = k; \
+ } \
+ l[i] = tmp; \
+ } \
+ void ks_heapmake_##name(size_t lsize, type_t l[]) \
+ { \
+ size_t i; \
+ for (i = (lsize >> 1) - 1; i != (size_t)(-1); --i) \
+ ks_heapadjust_##name(i, lsize, l); \
+ } \
+ void ks_heapsort_##name(size_t lsize, type_t l[]) \
+ { \
+ size_t i; \
+ for (i = lsize - 1; i > 0; --i) { \
+ type_t tmp; \
+ tmp = *l; *l = l[i]; l[i] = tmp; ks_heapadjust_##name(0, i, l); \
+ } \
+ } \
+ inline void __ks_insertsort_##name(type_t *s, type_t *t) \
+ { \
+ type_t *i, *j, swap_tmp; \
+ for (i = s + 1; i < t; ++i) \
+ for (j = i; j > s && __sort_lt(*j, *(j-1)); --j) { \
+ swap_tmp = *j; *j = *(j-1); *(j-1) = swap_tmp; \
+ } \
+ } \
+ void ks_combsort_##name(size_t n, type_t a[]) \
+ { \
+ const double shrink_factor = 1.2473309501039786540366528676643; \
+ int do_swap; \
+ size_t gap = n; \
+ type_t tmp, *i, *j; \
+ do { \
+ if (gap > 2) { \
+ gap = (size_t)(gap / shrink_factor); \
+ if (gap == 9 || gap == 10) gap = 11; \
+ } \
+ do_swap = 0; \
+ for (i = a; i < a + n - gap; ++i) { \
+ j = i + gap; \
+ if (__sort_lt(*j, *i)) { \
+ tmp = *i; *i = *j; *j = tmp; \
+ do_swap = 1; \
+ } \
+ } \
+ } while (do_swap || gap > 2); \
+ if (gap != 1) __ks_insertsort_##name(a, a + n); \
+ } \
+ void ks_introsort_##name(size_t n, type_t a[]) \
+ { \
+ int d; \
+ ks_isort_stack_t *top, *stack; \
+ type_t rp, swap_tmp; \
+ type_t *s, *t, *i, *j, *k; \
+ \
+ if (n < 1) return; \
+ else if (n == 2) { \
+ if (__sort_lt(a[1], a[0])) { swap_tmp = a[0]; a[0] = a[1]; a[1] = swap_tmp; } \
+ return; \
+ } \
+ for (d = 2; 1ul<<d < n; ++d); \
+ stack = (ks_isort_stack_t*)malloc(sizeof(ks_isort_stack_t) * ((sizeof(size_t)*d)+2)); \
+ top = stack; s = a; t = a + (n-1); d <<= 1; \
+ while (1) { \
+ if (s < t) { \
+ if (--d == 0) { \
+ ks_combsort_##name(t - s + 1, s); \
+ t = s; \
+ continue; \
+ } \
+ i = s; j = t; k = i + ((j-i)>>1) + 1; \
+ if (__sort_lt(*k, *i)) { \
+ if (__sort_lt(*k, *j)) k = j; \
+ } else k = __sort_lt(*j, *i)? i : j; \
+ rp = *k; \
+ if (k != t) { swap_tmp = *k; *k = *t; *t = swap_tmp; } \
+ for (;;) { \
+ do ++i; while (__sort_lt(*i, rp)); \
+ do --j; while (i <= j && __sort_lt(rp, *j)); \
+ if (j <= i) break; \
+ swap_tmp = *i; *i = *j; *j = swap_tmp; \
+ } \
+ swap_tmp = *i; *i = *t; *t = swap_tmp; \
+ if (i-s > t-i) { \
+ if (i-s > 16) { top->left = s; top->right = i-1; top->depth = d; ++top; } \
+ s = t-i > 16? i+1 : t; \
+ } else { \
+ if (t-i > 16) { top->left = i+1; top->right = t; top->depth = d; ++top; } \
+ t = i-s > 16? i-1 : s; \
+ } \
+ } else { \
+ if (top == stack) { \
+ free(stack); \
+ __ks_insertsort_##name(a, a+n); \
+ return; \
+ } else { --top; s = (type_t*)top->left; t = (type_t*)top->right; d = top->depth; } \
+ } \
+ } \
+ } \
+ /* This function is adapted from: http://ndevilla.free.fr/median/ */ \
+ /* 0 <= kk < n */ \
+ type_t ks_ksmall_##name(size_t n, type_t arr[], size_t kk) \
+ { \
+ type_t *low, *high, *k, *ll, *hh, *mid; \
+ low = arr; high = arr + n - 1; k = arr + kk; \
+ for (;;) { \
+ if (high <= low) return *k; \
+ if (high == low + 1) { \
+ if (__sort_lt(*high, *low)) KSORT_SWAP(type_t, *low, *high); \
+ return *k; \
+ } \
+ mid = low + (high - low) / 2; \
+ if (__sort_lt(*high, *mid)) KSORT_SWAP(type_t, *mid, *high); \
+ if (__sort_lt(*high, *low)) KSORT_SWAP(type_t, *low, *high); \
+ if (__sort_lt(*low, *mid)) KSORT_SWAP(type_t, *mid, *low); \
+ KSORT_SWAP(type_t, *mid, *(low+1)); \
+ ll = low + 1; hh = high; \
+ for (;;) { \
+ do ++ll; while (__sort_lt(*ll, *low)); \
+ do --hh; while (__sort_lt(*low, *hh)); \
+ if (hh < ll) break; \
+ KSORT_SWAP(type_t, *ll, *hh); \
+ } \
+ KSORT_SWAP(type_t, *low, *hh); \
+ if (hh <= k) low = ll; \
+ if (hh >= k) high = hh - 1; \
+ } \
+ }
+
+#define ks_mergesort(name, n, a, t) ks_mergesort_##name(n, a, t)
+#define ks_introsort(name, n, a) ks_introsort_##name(n, a)
+#define ks_combsort(name, n, a) ks_combsort_##name(n, a)
+#define ks_heapsort(name, n, a) ks_heapsort_##name(n, a)
+#define ks_heapmake(name, n, a) ks_heapmake_##name(n, a)
+#define ks_heapadjust(name, i, n, a) ks_heapadjust_##name(i, n, a)
+#define ks_ksmall(name, n, a, k) ks_ksmall_##name(n, a, k)
+
+#define ks_lt_generic(a, b) ((a) < (b))
+#define ks_lt_str(a, b) (strcmp((a), (b)) < 0)
+
+typedef const char *ksstr_t;
+
+#define KSORT_INIT_GENERIC(type_t) KSORT_INIT(type_t, type_t, ks_lt_generic)
+#define KSORT_INIT_STR KSORT_INIT(str, ksstr_t, ks_lt_str)
+
+#endif
--- /dev/null
+#include <stdlib.h>
+#include <string.h>
+#include <stdio.h>
+#include <time.h>
+#include <algorithm>
+
+#include "ksort.h"
+KSORT_INIT_GENERIC(int)
+
+using namespace std;
+
+/**********************************
+ * BEGIN OF PAUL'S IMPLEMENTATION *
+ **********************************/
+
+/* Attractive Chaos: I have added inline where necessary. */
+
+/*
+Copyright (c) 2004 Paul Hsieh
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ Redistributions of source code must retain the above copyright notice,
+ this list of conditions and the following disclaimer.
+
+ Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ Neither the name of sorttest nor the names of its contributors may be
+ used to endorse or promote products derived from this software without
+ specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/*
+
+Recommended flags:
+------------------
+
+Intel C/C++:
+icl /O2 /G6 /Qaxi /Qxi /Qip sorttest.c
+
+WATCOM C/C++:
+wcl386 /otexan /6r sorttest.c
+
+GCC:
+gcc -O3 -mcpu=athlon-xp -march=athlon-xp sorttest.c
+
+MSVC:
+cl /O2 /Ot /Og /G6 sorttest.c
+
+*/
+
+static inline void sort2 (int * numbers) {
+int tmp;
+
+ if (numbers[0] <= numbers[1]) return;
+ tmp = numbers[0];
+ numbers[0] = numbers[1];
+ numbers[1] = tmp;
+}
+
+static inline void sort3 (int * numbers) {
+int tmp;
+
+ if (numbers[0] <= numbers[1]) {
+ if (numbers[1] <= numbers[2]) return;
+ if (numbers[2] <= numbers[0]) {
+ tmp = numbers[0];
+ numbers[0] = numbers[2];
+ numbers[2] = numbers[1];
+ numbers[1] = tmp;
+ return;
+ }
+ tmp = numbers[1];
+ } else {
+ tmp = numbers[0];
+ if (numbers[0] <= numbers[2]) {
+ numbers[0] = numbers[1];
+ numbers[1] = tmp;
+ return;
+ }
+ if (numbers[2] <= numbers[1]) {
+ numbers[0] = numbers[2];
+ numbers[2] = tmp;
+ return;
+ }
+ numbers[0] = numbers[1];
+ }
+ numbers[1] = numbers[2];
+ numbers[2] = tmp;
+}
+
+static inline void sort4 (int * num) {
+int tmp;
+ if (num[0] < num[1]) {
+ if (num[1] < num[2]) {
+ if (num[1] < num[3]) {
+ if (num[2] >= num[3]) {
+ tmp = num[2];
+ num[2] = num[3];
+ num[3] = tmp;
+ }
+ } else {
+ tmp = num[1];
+ if (num[0] < num[3]) {
+ num[1] = num[3];
+ } else {
+ num[1] = num[0];
+ num[0] = num[3];
+ }
+ num[3] = num[2];
+ num[2] = tmp;
+ }
+ } else {
+ if (num[0] < num[2]) {
+ if (num[2] < num[3]) {
+ if (num[1] < num[3]) {
+ tmp = num[1];
+ } else {
+ tmp = num[3];
+ num[3] = num[1];
+ }
+ num[1] = num[2];
+ num[2] = tmp;
+ } else {
+ if (num[0] < num[3]) {
+ tmp = num[3];
+ } else {
+ tmp = num[0];
+ num[0] = num[3];
+ }
+ num[3] = num[1];
+ num[1] = tmp;
+ }
+ } else {
+ if (num[0] < num[3]) {
+ tmp = num[0];
+ num[0] = num[2];
+ if (num[1] < num[3]) {
+ num[2] = num[1];
+ } else {
+ num[2] = num[3];
+ num[3] = num[1];
+ }
+ num[1] = tmp;
+ } else {
+ if (num[2] < num[3]) {
+ tmp = num[0];
+ num[0] = num[2];
+ num[2] = tmp;
+ tmp = num[1];
+ num[1] = num[3];
+ } else {
+ tmp = num[1];
+ num[1] = num[2];
+ num[2] = num[0];
+ num[0] = num[3];
+ }
+ num[3] = tmp;
+ }
+ }
+ }
+ } else {
+ tmp = num[0];
+ if (tmp < num[2]) {
+ if (tmp < num[3]) {
+ num[0] = num[1];
+ num[1] = tmp;
+ if (num[2] >= num[3]) {
+ tmp = num[2];
+ num[2] = num[3];
+ num[3] = tmp;
+ }
+ } else {
+ if (num[1] < num[3]) {
+ num[0] = num[1];
+ num[1] = num[3];
+ } else {
+ num[0] = num[3];
+ }
+ num[3] = num[2];
+ num[2] = tmp;
+ }
+ } else {
+ if (num[1] < num[2]) {
+ if (num[2] < num[3]) {
+ num[0] = num[1];
+ num[1] = num[2];
+ if (tmp < num[3]) {
+ num[2] = tmp;
+ } else {
+ num[2] = num[3];
+ num[3] = tmp;
+ }
+ } else {
+ if (num[1] < num[3]) {
+ num[0] = num[1];
+ num[1] = num[3];
+ } else {
+ num[0] = num[3];
+ }
+ num[3] = tmp;
+ }
+ } else {
+ if (num[1] < num[3]) {
+ num[0] = num[2];
+ if (tmp < num[3]) {
+ num[2] = tmp;
+ } else {
+ num[2] = num[3];
+ num[3] = tmp;
+ }
+ } else {
+ if (num[2] < num[3]) {
+ num[0] = num[2];
+ num[2] = num[1];
+ num[1] = num[3];
+ num[3] = tmp;
+ } else {
+ num[0] = num[3];
+ num[3] = tmp;
+ tmp = num[1];
+ num[1] = num[2];
+ num[2] = tmp;
+ }
+ }
+ }
+ }
+ }
+}
+
+static inline void sortAlt2 (int * numbers, int * altNumbers) {
+ if (numbers[0] <= numbers[1]) {
+ altNumbers[0] = numbers[0];
+ altNumbers[1] = numbers[1];
+ } else {
+ altNumbers[0] = numbers[1];
+ altNumbers[1] = numbers[0];
+ }
+}
+
+static inline void sortAlt3 (int * numbers, int * altNumbers) {
+ if (numbers[0] <= numbers[1]) {
+ if (numbers[1] <= numbers[2]) {
+ altNumbers[0] = numbers[0];
+ altNumbers[1] = numbers[1];
+ altNumbers[2] = numbers[2];
+ } else if (numbers[2] <= numbers[0]) {
+ altNumbers[0] = numbers[2];
+ altNumbers[1] = numbers[0];
+ altNumbers[2] = numbers[1];
+ } else {
+ altNumbers[0] = numbers[0];
+ altNumbers[1] = numbers[2];
+ altNumbers[2] = numbers[1];
+ }
+ } else {
+ if (numbers[0] <= numbers[2]) {
+ altNumbers[0] = numbers[1];
+ altNumbers[1] = numbers[0];
+ altNumbers[2] = numbers[2];
+ } else if (numbers[2] <= numbers[1]) {
+ altNumbers[0] = numbers[2];
+ altNumbers[1] = numbers[1];
+ altNumbers[2] = numbers[0];
+ } else {
+ altNumbers[0] = numbers[1];
+ altNumbers[1] = numbers[2];
+ altNumbers[2] = numbers[0];
+ }
+ }
+}
+
+/*
+ * Insert Sort
+ */
+
+inline void insertSort (int numbers[], int qty) {
+int i, j, idx, q4;
+int tmp;
+
+ if (qty <= 4) {
+ if (qty == 4) sort4 (numbers);
+ else if (qty == 3) sort3 (numbers);
+ else if (qty == 2) sort2 (numbers);
+ return;
+ }
+
+ q4 = qty - 4;
+
+ for (i=0; i < q4; i++) {
+ idx = i;
+ for (j=i+1; j < qty; j++) {
+ if (numbers[j] < numbers[idx]) idx = j;
+ }
+ if (idx != i) {
+ tmp = numbers[idx];
+ numbers[idx] = numbers[i];
+ numbers[i] = tmp;
+ }
+ }
+
+ sort4 (numbers + q4);
+}
+
+/*
+ * Heap Sort
+ */
+
+/* Assure the heap property for entries from top to last */
+static void siftDown (int numbers[], int top, int last) {
+int tmp = numbers[top];
+int maxIdx = top;
+
+ while (last >= (maxIdx += maxIdx)) {
+
+ /* This is where the comparison occurrs and where a sufficiently
+ good compiler can use a computed conditional result rather
+ than using control logic. */
+ if (maxIdx != last && numbers[maxIdx] < numbers[maxIdx + 1]) maxIdx++;
+
+ if (tmp >= numbers[maxIdx]) break;
+ numbers[top] = numbers[maxIdx];
+ top = maxIdx;
+ }
+ numbers[top] = tmp;
+}
+
+/* Peel off the top siftDown operation since its parameters are trivial to
+ fill in directly (and this saves us some moves.) */
+static void siftDown0 (int numbers[], int last) {
+int tmp;
+
+ if (numbers[0] < numbers[1]) {
+ tmp = numbers[1];
+ numbers[1] = numbers[0];
+ siftDown (numbers, 1, last);
+ } else {
+ tmp = numbers[0];
+ }
+ numbers[0] = numbers[last];
+ numbers[last] = tmp;
+}
+
+void heapSort (int numbers[], int qty) {
+int i;
+
+ if (qty <= 4) {
+ if (qty == 4) sort4 (numbers);
+ else if (qty == 3) sort3 (numbers);
+ else if (qty == 2) sort2 (numbers);
+ return;
+ }
+
+ i = qty / 2;
+ /* Enforce the heap property for each position in the tree */
+ for ( qty--; i > 0; i--) siftDown (numbers, i, qty);
+ for (i = qty; i > 0; i--) siftDown0 (numbers, i);
+}
+
+/*
+ * Quick Sort
+ */
+
+static int medianOf3 (int * numbers, int i, int j) {
+int tmp;
+
+ if (numbers[0] <= numbers[i]) {
+ if (numbers[j] <= numbers[0]) return numbers[0]; /* j 0 i */
+ if (numbers[i] <= numbers[j]) j = i; /* 0 i j */
+ /* 0 j i */
+ } else {
+ if (numbers[0] <= numbers[j]) return numbers[0]; /* i 0 j */
+ if (numbers[j] <= numbers[i]) j = i; /* j i 0 */
+ /* i j 0 */
+ }
+ tmp = numbers[j];
+ numbers[j] = numbers[0];
+ numbers[0] = tmp;
+ return tmp;
+}
+
+static void quickSortRecurse (int * numbers, int left, int right) {
+int pivot, lTmp, rTmp;
+
+ qsrStart:;
+
+#if defined(__GNUC__)
+ if (right <= left + 8) {
+ insertSort (numbers + left, right - left + 1);
+ return;
+ }
+#else
+ if (right <= left + 3) {
+ if (right == left + 1) {
+ sort2 (numbers + left);
+ } else if (right == left + 2) {
+ sort3 (numbers + left);
+ } else if (right == left + 3) {
+ sort4 (numbers + left);
+ }
+ return;
+ }
+#endif
+
+ lTmp = left;
+ rTmp = right;
+
+ pivot = medianOf3 (numbers + left, (right-left) >> 1, right-1-left);
+
+ goto QStart;
+ while (1) {
+ do {
+ right--;
+ if (left >= right) goto QEnd;
+ QStart:;
+ } while (numbers[right] > pivot);
+ numbers[left] = numbers[right];
+ do {
+ left++;
+ if (left >= right) {
+ left = right;
+ goto QEnd;
+ }
+ } while (numbers[ left] < pivot);
+ numbers[right] = numbers[left];
+ }
+ QEnd:;
+ numbers[left] = pivot;
+
+ /* Only recurse the smaller partition */
+
+ if (left-1 - lTmp <= rTmp - left - 1) {
+ if (lTmp < left) quickSortRecurse (numbers, lTmp, left-1);
+
+ /* Set up for larger partition */
+ left++;
+ right = rTmp;
+ } else {
+ if (rTmp > left) quickSortRecurse (numbers, left+1, rTmp);
+
+ /* Set up for larger partition */
+ right = left - 1;
+ left = lTmp;
+ }
+
+ /* Rerun with larger partition (recursion not required.) */
+ goto qsrStart;
+}
+
+void quickSort (int numbers[], int qty) {
+ if (qty < 2) return;
+ quickSortRecurse (numbers, 0, qty - 1);
+}
+
+/*
+ * Merge Sort
+ */
+
+static void mergesortInPlace (int * numbers, int * altNumbers, int qty);
+
+/* Perform mergesort, but store results in altNumbers */
+
+static void mergesortExchange (int * numbers, int * altNumbers, int qty) {
+int half, i0, i1, i;
+
+ if (qty == 2) {
+ sortAlt2 (numbers, altNumbers);
+ return;
+ }
+ if (qty == 3) {
+ sortAlt3 (numbers, altNumbers);
+ return;
+ }
+
+ half = (qty + 1)/2;
+
+ mergesortInPlace (numbers, altNumbers, half);
+ mergesortInPlace (numbers + half, altNumbers, qty - half);
+
+ i0 = 0; i1 = half;
+
+ for (i=0; i < qty; i++) {
+ if (i1 >= qty || (i0 < half && numbers[i0] < numbers[i1])) {
+ altNumbers[i] = numbers[i0];
+ i0++;
+ } else {
+ altNumbers[i] = numbers[i1];
+ i1++;
+ }
+ }
+}
+
+/* Perform mergesort and store results in numbers */
+
+static void mergesortInPlace (int * numbers, int * altNumbers, int qty) {
+int half, i0, i1, i;
+
+#if 0
+ if (qty == 2) {
+ sort2 (numbers);
+ return;
+ }
+ if (qty == 3) {
+ sort3 (numbers);
+ return;
+ }
+ if (qty == 4) {
+ sort4 (numbers);
+ return;
+ }
+#else
+ if (qty <= 12) {
+ insertSort (numbers, qty);
+ return;
+ }
+#endif
+
+ half = (qty + 1)/2;
+
+ mergesortExchange (numbers, altNumbers, half);
+ mergesortExchange (numbers + half, altNumbers + half, qty - half);
+
+ i0 = 0; i1 = half;
+
+ for (i=0; i < qty; i++) {
+ if (i1 >= qty || (i0 < half && altNumbers[i0] < altNumbers[i1])) {
+ numbers[i] = altNumbers[i0];
+ i0++;
+ } else {
+ numbers[i] = altNumbers[i1];
+ i1++;
+ }
+ }
+}
+
+#include <stdlib.h>
+
+void mergeSort (int numbers[], int qty) {
+int * tmpArray;
+
+ if (qty <= 12) {
+ insertSort (numbers, qty);
+ return;
+ }
+
+ tmpArray = (int *) malloc (qty * sizeof (int));
+ mergesortInPlace (numbers, tmpArray, qty);
+ free (tmpArray);
+}
+
+/********************************
+ * END OF PAUL'S IMPLEMENTATION *
+ ********************************/
+
+struct intcmp_t {
+ inline int operator() (int a, int b) const {
+ return a < b? -1 : a > b? 1 : 0;
+ }
+};
+
+int compare_int(int a, int b)
+{
+ return a < b? -1 : a > b? 1 : 0;
+}
+int compare(const void *a, const void *b)
+{
+ return *((int*)a) - *((int*)b);
+}
+
+int main(int argc, char *argv[])
+{
+ int i, N = 50000000;
+ int *array, *temp;
+ clock_t t1, t2;
+ if (argc == 1) fprintf(stderr, "Usage: %s [%d]\n", argv[0], N);
+ if (argc > 1) N = atoi(argv[1]);
+ temp = (int*)malloc(sizeof(int) * N);
+ array = (int*)malloc(sizeof(int) * N);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ sort(array, array+N);
+ t2 = clock();
+ fprintf(stderr, "STL introsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ t1 = clock();
+ sort(array, array+N);
+ t2 = clock();
+ fprintf(stderr, "STL introsort (sorted): %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ stable_sort(array, array+N);
+ t2 = clock();
+ fprintf(stderr, "STL stablesort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ t1 = clock();
+ stable_sort(array, array+N);
+ t2 = clock();
+ fprintf(stderr, "STL stablesort (sorted): %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ make_heap(array, array+N);
+ sort_heap(array, array+N);
+ t2 = clock();
+ fprintf(stderr, "STL heapsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in heap_sort!\n");
+ exit(1);
+ }
+ }
+ t1 = clock();
+ make_heap(array, array+N);
+ sort_heap(array, array+N);
+ t2 = clock();
+ fprintf(stderr, "STL heapsort (sorted): %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ ks_combsort(int, N, array);
+ t2 = clock();
+ fprintf(stderr, "combsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in combsort!\n");
+ exit(1);
+ }
+ }
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ qsort(array, N, sizeof(int), compare);
+ t2 = clock();
+ fprintf(stderr, "libc qsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ ks_introsort(int, N, array);
+ t2 = clock();
+ fprintf(stderr, "my introsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in intro_sort!\n");
+ exit(1);
+ }
+ }
+ t1 = clock();
+ ks_introsort(int, N, array);
+ t2 = clock();
+ fprintf(stderr, "introsort (sorted): %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ ks_mergesort(int, N, array, 0);
+ t2 = clock();
+ fprintf(stderr, "iterative mergesort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in merge_sort!\n");
+ exit(1);
+ }
+ }
+ t1 = clock();
+ ks_mergesort(int, N, array, 0);
+ t2 = clock();
+ fprintf(stderr, "iterative mergesort (sorted): %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ ks_heapmake(int, N, array);
+ ks_heapsort(int, N, array);
+ t2 = clock();
+ fprintf(stderr, "my heapsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in heap_sort!\n");
+ exit(1);
+ }
+ }
+ t1 = clock();
+ ks_heapmake(int, N, array);
+ ks_heapsort(int, N, array);
+ t2 = clock();
+ fprintf(stderr, "heapsort (sorted): %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ heapSort(array, N);
+ t2 = clock();
+ fprintf(stderr, "Paul's heapsort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in intro_sort!\n");
+ exit(1);
+ }
+ }
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ quickSort(array, N);
+ t2 = clock();
+ fprintf(stderr, "Paul's quicksort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in intro_sort!\n");
+ exit(1);
+ }
+ }
+
+ srand48(11);
+ for (i = 0; i < N; ++i) array[i] = (int)lrand48();
+ t1 = clock();
+ mergeSort(array, N);
+ t2 = clock();
+ fprintf(stderr, "Paul's mergesort: %.3lf\n", (double)(t2-t1)/CLOCKS_PER_SEC);
+ for (i = 0; i < N-1; ++i) {
+ if (array[i] > array[i+1]) {
+ fprintf(stderr, "Bug in intro_sort!\n");
+ exit(1);
+ }
+ }
+
+ free(array); free(temp);
+ return 0;
+}