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+/* The MIT License
+
+ Copyright (c) 2008, 2011 Attractive Chaos <attractor@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.
+*/
+
+/*
+ 2011-04-10 (0.1.6):
+
+ * Added sample
+
+ 2011-03 (0.1.5):
+
+ * Added shuffle/permutation
+
+ 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); \
+ } \
+ } \
+ static 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; \
+ } \
+ } \
+ void ks_shuffle_##name(size_t n, type_t a[]) \
+ { \
+ int i, j; \
+ for (i = n; i > 1; --i) { \
+ type_t tmp; \
+ j = (int)(drand48() * i); \
+ tmp = a[j]; a[j] = a[i-1]; a[i-1] = tmp; \
+ } \
+ } \
+ void ks_sample_##name(size_t n, size_t r, type_t a[]) /* FIXME: NOT TESTED!!! */ \
+ { /* reference: http://code.activestate.com/recipes/272884/ */ \
+ int i, k, pop = n; \
+ for (i = (int)r, k = 0; i >= 0; --i) { \
+ double z = 1., x = drand48(); \
+ type_t tmp; \
+ while (x < z) z -= z * i / (pop--); \
+ if (k != n - pop - 1) tmp = a[k], a[k] = a[n-pop-1], a[n-pop-1] = tmp; \
+ ++k; \
+ } \
+ }
+
+#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_shuffle(name, n, a) ks_shuffle_##name(n, a)
+
+#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
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