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+/* The MIT License |
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+ |
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+ Copyright (c) 2008 Genome Research Ltd (GRL). |
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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 |
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+ NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS |
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+ BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN |
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+ ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN |
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+ CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
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+ SOFTWARE. |
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+*/ |
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+ |
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+/* Contact: Heng Li <lh3@sanger.ac.uk> */ |
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+ |
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+/* |
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+ 2012-12-11 (0.1.4): |
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+ |
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+ * Defined __ks_insertsort_##name as static to compile with C99. |
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+ |
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+ 2008-11-16 (0.1.4): |
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+ |
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+ * Fixed a bug in introsort() that happens in rare cases. |
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+ |
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+ 2008-11-05 (0.1.3): |
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+ |
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+ * Fixed a bug in introsort() for complex comparisons. |
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+ |
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+ * Fixed a bug in mergesort(). The previous version is not stable. |
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+ |
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+ 2008-09-15 (0.1.2): |
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+ |
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+ * Accelerated introsort. On my Mac (not on another Linux machine), |
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+ my implementation is as fast as std::sort on random input. |
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+ |
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+ * Added combsort and in introsort, switch to combsort if the |
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+ recursion is too deep. |
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+ |
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+ 2008-09-13 (0.1.1): |
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+ |
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+ * Added k-small algorithm |
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+ |
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+ 2008-09-05 (0.1.0): |
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+ |
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+ * Initial version |
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+ |
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+*/ |
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+ |
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+#ifndef AC_KSORT_H |
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+#define AC_KSORT_H |
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+ |
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+#include <stdlib.h> |
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+#include <string.h> |
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+ |
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+ |
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+/* Rsamtools */ |
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+#if defined(_WIN32) |
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+#define drand48() ((double)rand() / RAND_MAX) |
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+#else |
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+#ifndef _SVID_SOURCE |
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+#define _SVID_SOURCE /* Rsamtools: c99 */ |
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+#endif |
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+#endif |
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+ |
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+typedef struct { |
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+ void *left, *right; |
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+ int depth; |
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+} ks_isort_stack_t; |
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+ |
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+#define KSORT_SWAP(type_t, a, b) { register type_t t=(a); (a)=(b); (b)=t; } |
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+ |
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+#define KSORT_INIT(name, type_t, __sort_lt) \ |
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+ void ks_mergesort_##name(size_t n, type_t array[], type_t temp[]) \ |
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+ { \ |
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+ type_t *a2[2], *a, *b; \ |
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+ int curr, shift; \ |
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+ \ |
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+ a2[0] = array; \ |
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+ a2[1] = temp? temp : (type_t*)malloc(sizeof(type_t) * n); \ |
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+ for (curr = 0, shift = 0; (1ul<<shift) < n; ++shift) { \ |
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+ a = a2[curr]; b = a2[1-curr]; \ |
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+ if (shift == 0) { \ |
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+ type_t *p = b, *i, *eb = a + n; \ |
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+ for (i = a; i < eb; i += 2) { \ |
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+ if (i == eb - 1) *p++ = *i; \ |
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+ else { \ |
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+ if (__sort_lt(*(i+1), *i)) { \ |
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+ *p++ = *(i+1); *p++ = *i; \ |
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+ } else { \ |
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+ *p++ = *i; *p++ = *(i+1); \ |
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+ } \ |
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+ } \ |
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+ } \ |
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+ } else { \ |
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+ size_t i, step = 1ul<<shift; \ |
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+ for (i = 0; i < n; i += step<<1) { \ |
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+ type_t *p, *j, *k, *ea, *eb; \ |
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+ if (n < i + step) { \ |
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+ ea = a + n; eb = a; \ |
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+ } else { \ |
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+ ea = a + i + step; \ |
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+ eb = a + (n < i + (step<<1)? n : i + (step<<1)); \ |
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+ } \ |
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+ j = a + i; k = a + i + step; p = b + i; \ |
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+ while (j < ea && k < eb) { \ |
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+ if (__sort_lt(*k, *j)) *p++ = *k++; \ |
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+ else *p++ = *j++; \ |
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+ } \ |
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+ while (j < ea) *p++ = *j++; \ |
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+ while (k < eb) *p++ = *k++; \ |
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+ } \ |
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+ } \ |
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+ curr = 1 - curr; \ |
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+ } \ |
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+ if (curr == 1) { \ |
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+ type_t *p = a2[0], *i = a2[1], *eb = array + n; \ |
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+ for (; p < eb; ++i) *p++ = *i; \ |
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+ } \ |
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+ if (temp == 0) free(a2[1]); \ |
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+ } \ |
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+ void ks_heapadjust_##name(size_t i, size_t n, type_t l[]) \ |
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+ { \ |
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+ size_t k = i; \ |
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+ type_t tmp = l[i]; \ |
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+ while ((k = (k << 1) + 1) < n) { \ |
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+ if (k != n - 1 && __sort_lt(l[k], l[k+1])) ++k; \ |
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+ if (__sort_lt(l[k], tmp)) break; \ |
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+ l[i] = l[k]; i = k; \ |
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+ } \ |
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+ l[i] = tmp; \ |
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+ } \ |
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+ void ks_heapmake_##name(size_t lsize, type_t l[]) \ |
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+ { \ |
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+ size_t i; \ |
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+ for (i = (lsize >> 1) - 1; i != (size_t)(-1); --i) \ |
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+ ks_heapadjust_##name(i, lsize, l); \ |
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+ } \ |
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+ void ks_heapsort_##name(size_t lsize, type_t l[]) \ |
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+ { \ |
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+ size_t i; \ |
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+ for (i = lsize - 1; i > 0; --i) { \ |
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+ type_t tmp; \ |
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+ tmp = *l; *l = l[i]; l[i] = tmp; ks_heapadjust_##name(0, i, l); \ |
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+ } \ |
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+ } \ |
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+ static inline void __ks_insertsort_##name(type_t *s, type_t *t) \ |
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+ { \ |
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+ type_t *i, *j, swap_tmp; \ |
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+ for (i = s + 1; i < t; ++i) \ |
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+ for (j = i; j > s && __sort_lt(*j, *(j-1)); --j) { \ |
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+ swap_tmp = *j; *j = *(j-1); *(j-1) = swap_tmp; \ |
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+ } \ |
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+ } \ |
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+ void ks_combsort_##name(size_t n, type_t a[]) \ |
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+ { \ |
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+ const double shrink_factor = 1.2473309501039786540366528676643; \ |
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+ int do_swap; \ |
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+ size_t gap = n; \ |
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+ type_t tmp, *i, *j; \ |
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+ do { \ |
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+ if (gap > 2) { \ |
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+ gap = (size_t)(gap / shrink_factor); \ |
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+ if (gap == 9 || gap == 10) gap = 11; \ |
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+ } \ |
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+ do_swap = 0; \ |
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+ for (i = a; i < a + n - gap; ++i) { \ |
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+ j = i + gap; \ |
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+ if (__sort_lt(*j, *i)) { \ |
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+ tmp = *i; *i = *j; *j = tmp; \ |
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+ do_swap = 1; \ |
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+ } \ |
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+ } \ |
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+ } while (do_swap || gap > 2); \ |
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+ if (gap != 1) __ks_insertsort_##name(a, a + n); \ |
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+ } \ |
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+ void ks_introsort_##name(size_t n, type_t a[]) \ |
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+ { \ |
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+ int d; \ |
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+ ks_isort_stack_t *top, *stack; \ |
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+ type_t rp, swap_tmp; \ |
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+ type_t *s, *t, *i, *j, *k; \ |
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+ \ |
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+ if (n < 1) return; \ |
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+ else if (n == 2) { \ |
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+ if (__sort_lt(a[1], a[0])) { swap_tmp = a[0]; a[0] = a[1]; a[1] = swap_tmp; } \ |
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+ return; \ |
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+ } \ |
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+ for (d = 2; 1ul<<d < n; ++d); \ |
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+ stack = (ks_isort_stack_t*)malloc(sizeof(ks_isort_stack_t) * ((sizeof(size_t)*d)+2)); \ |
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+ top = stack; s = a; t = a + (n-1); d <<= 1; \ |
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+ while (1) { \ |
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+ if (s < t) { \ |
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+ if (--d == 0) { \ |
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+ ks_combsort_##name(t - s + 1, s); \ |
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+ t = s; \ |
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+ continue; \ |
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+ } \ |
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+ i = s; j = t; k = i + ((j-i)>>1) + 1; \ |
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+ if (__sort_lt(*k, *i)) { \ |
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+ if (__sort_lt(*k, *j)) k = j; \ |
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+ } else k = __sort_lt(*j, *i)? i : j; \ |
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+ rp = *k; \ |
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+ if (k != t) { swap_tmp = *k; *k = *t; *t = swap_tmp; } \ |
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+ for (;;) { \ |
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+ do ++i; while (__sort_lt(*i, rp)); \ |
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+ do --j; while (i <= j && __sort_lt(rp, *j)); \ |
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+ if (j <= i) break; \ |
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+ swap_tmp = *i; *i = *j; *j = swap_tmp; \ |
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+ } \ |
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+ swap_tmp = *i; *i = *t; *t = swap_tmp; \ |
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+ if (i-s > t-i) { \ |
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+ if (i-s > 16) { top->left = s; top->right = i-1; top->depth = d; ++top; } \ |
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+ s = t-i > 16? i+1 : t; \ |
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+ } else { \ |
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+ if (t-i > 16) { top->left = i+1; top->right = t; top->depth = d; ++top; } \ |
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+ t = i-s > 16? i-1 : s; \ |
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+ } \ |
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+ } else { \ |
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+ if (top == stack) { \ |
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+ free(stack); \ |
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+ __ks_insertsort_##name(a, a+n); \ |
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+ return; \ |
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+ } else { --top; s = (type_t*)top->left; t = (type_t*)top->right; d = top->depth; } \ |
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+ } \ |
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+ } \ |
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+ } \ |
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+ /* This function is adapted from: http://ndevilla.free.fr/median/ */ \ |
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+ /* 0 <= kk < n */ \ |
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+ type_t ks_ksmall_##name(size_t n, type_t arr[], size_t kk) \ |
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+ { \ |
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+ type_t *low, *high, *k, *ll, *hh, *mid; \ |
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+ low = arr; high = arr + n - 1; k = arr + kk; \ |
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+ for (;;) { \ |
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+ if (high <= low) return *k; \ |
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+ if (high == low + 1) { \ |
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+ if (__sort_lt(*high, *low)) KSORT_SWAP(type_t, *low, *high); \ |
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+ return *k; \ |
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+ } \ |
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+ mid = low + (high - low) / 2; \ |
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+ if (__sort_lt(*high, *mid)) KSORT_SWAP(type_t, *mid, *high); \ |
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+ if (__sort_lt(*high, *low)) KSORT_SWAP(type_t, *low, *high); \ |
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+ if (__sort_lt(*low, *mid)) KSORT_SWAP(type_t, *mid, *low); \ |
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+ KSORT_SWAP(type_t, *mid, *(low+1)); \ |
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+ ll = low + 1; hh = high; \ |
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+ for (;;) { \ |
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+ do ++ll; while (__sort_lt(*ll, *low)); \ |
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+ do --hh; while (__sort_lt(*low, *hh)); \ |
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+ if (hh < ll) break; \ |
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+ KSORT_SWAP(type_t, *ll, *hh); \ |
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+ } \ |
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+ KSORT_SWAP(type_t, *low, *hh); \ |
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+ if (hh <= k) low = ll; \ |
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+ if (hh >= k) high = hh - 1; \ |
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+ } \ |
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+ } \ |
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+ void ks_shuffle_##name(size_t n, type_t a[]) \ |
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+ { \ |
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+ int i, j; \ |
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+ for (i = n; i > 1; --i) { \ |
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+ type_t tmp; \ |
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+ j = (int)(drand48() * i); \ |
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+ tmp = a[j]; a[j] = a[i-1]; a[i-1] = tmp; \ |
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+ } \ |
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+ } |
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+ |
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+#define ks_mergesort(name, n, a, t) ks_mergesort_##name(n, a, t) |
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+#define ks_introsort(name, n, a) ks_introsort_##name(n, a) |
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+#define ks_combsort(name, n, a) ks_combsort_##name(n, a) |
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+#define ks_heapsort(name, n, a) ks_heapsort_##name(n, a) |
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+#define ks_heapmake(name, n, a) ks_heapmake_##name(n, a) |
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+#define ks_heapadjust(name, i, n, a) ks_heapadjust_##name(i, n, a) |
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+#define ks_ksmall(name, n, a, k) ks_ksmall_##name(n, a, k) |
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+#define ks_shuffle(name, n, a) ks_shuffle_##name(n, a) |
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+ |
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+#define ks_lt_generic(a, b) ((a) < (b)) |
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+#define ks_lt_str(a, b) (strcmp((a), (b)) < 0) |
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+ |
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+typedef const char *ksstr_t; |
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+ |
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+#define KSORT_INIT_GENERIC(type_t) KSORT_INIT(type_t, type_t, ks_lt_generic) |
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+#define KSORT_INIT_STR KSORT_INIT(str, ksstr_t, ks_lt_str) |
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+ |
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+#endif |