[8] | 1 | /**CFile*********************************************************************** |
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| 2 | |
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| 3 | FileName [heap.c] |
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| 4 | |
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| 5 | PackageName [heap] |
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| 6 | |
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| 7 | Synopsis [Heap-based priority queue.] |
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| 8 | |
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| 9 | Description [This file contains the functions to maintain a priority |
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| 10 | queue implemented as a heap.] |
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| 11 | |
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| 12 | SeeAlso [] |
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| 13 | |
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| 14 | Author [Fabio Somenzi] |
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| 15 | |
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| 16 | Copyright [This file was created at the University of Colorado at |
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| 17 | Boulder. The University of Colorado at Boulder makes no warranty |
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| 18 | about the suitability of this software for any purpose. It is |
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| 19 | presented on an AS IS basis.] |
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| 20 | |
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| 21 | ******************************************************************************/ |
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| 22 | |
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| 23 | #include "heapInt.h" |
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| 24 | |
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| 25 | |
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| 26 | /*---------------------------------------------------------------------------*/ |
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| 27 | /* Constant declarations */ |
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| 28 | /*---------------------------------------------------------------------------*/ |
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| 29 | |
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| 30 | |
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| 31 | /*---------------------------------------------------------------------------*/ |
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| 32 | /* Stucture declarations */ |
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| 33 | /*---------------------------------------------------------------------------*/ |
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| 34 | |
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| 35 | |
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| 36 | /*---------------------------------------------------------------------------*/ |
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| 37 | /* Type declarations */ |
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| 38 | /*---------------------------------------------------------------------------*/ |
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| 39 | |
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| 40 | |
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| 41 | /*---------------------------------------------------------------------------*/ |
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| 42 | /* Variable declarations */ |
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| 43 | /*---------------------------------------------------------------------------*/ |
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| 44 | |
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| 45 | #ifndef lint |
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| 46 | static char rcsid[] UNUSED = "$Id: heap.c,v 1.18 2005/05/18 19:25:43 jinh Exp $"; |
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| 47 | #endif |
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| 48 | |
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| 49 | |
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| 50 | /*---------------------------------------------------------------------------*/ |
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| 51 | /* Macro declarations */ |
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| 52 | /*---------------------------------------------------------------------------*/ |
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| 53 | |
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| 54 | |
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| 55 | |
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| 56 | /**AutomaticStart*************************************************************/ |
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| 57 | |
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| 58 | /*---------------------------------------------------------------------------*/ |
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| 59 | /* Static function prototypes */ |
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| 60 | /*---------------------------------------------------------------------------*/ |
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| 61 | |
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| 62 | static void HeapHeapify ARGS((Heap_t *heap)); |
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| 63 | static void HeapHeapifyCompare ARGS((Heap_t *heap)); |
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| 64 | static int HeapResize ARGS((Heap_t *heap)); |
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| 65 | |
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| 66 | /**AutomaticEnd***************************************************************/ |
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| 67 | |
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| 68 | |
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| 69 | /*---------------------------------------------------------------------------*/ |
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| 70 | /* Definition of exported functions */ |
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| 71 | /*---------------------------------------------------------------------------*/ |
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| 72 | |
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| 73 | |
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| 74 | /**Function******************************************************************** |
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| 75 | |
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| 76 | Synopsis [Initializes a priority queue.] |
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| 77 | |
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| 78 | Description [Initializes a priority queue. Returns a pointer to the |
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| 79 | heap if successful; NULL otherwise. The queue is implemented as a |
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| 80 | heap. The first element of the heap is the one with the smallest |
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| 81 | key.] |
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| 82 | |
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| 83 | SideEffects [None] |
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| 84 | |
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| 85 | SeeAlso [Heap_HeapFree] |
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| 86 | |
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| 87 | ******************************************************************************/ |
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| 88 | Heap_t * |
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| 89 | Heap_HeapInit( |
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| 90 | int length) |
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| 91 | { |
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| 92 | Heap_t *heap; |
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| 93 | |
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| 94 | heap = ALLOC(Heap_t, 1); |
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| 95 | if (heap == NIL(Heap_t)) return NIL(Heap_t); |
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| 96 | heap->length = length; |
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| 97 | heap->nitems = 0; |
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| 98 | heap->compare = 0; |
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| 99 | heap->slots = ALLOC(HeapSlot_t, length); |
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| 100 | if (heap->slots == NIL(HeapSlot_t)) { |
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| 101 | FREE(heap); |
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| 102 | return NIL(Heap_t); |
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| 103 | } |
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| 104 | return heap; |
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| 105 | |
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| 106 | } /* Heap_HeapInit */ |
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| 107 | |
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| 108 | |
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| 109 | /**Function******************************************************************** |
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| 110 | |
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| 111 | Synopsis [Initializes a priority queue.] |
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| 112 | |
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| 113 | Description [Initializes a priority queue. Returns a pointer to the |
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| 114 | heap if successful; NULL otherwise. The queue is implemented as a |
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| 115 | heap. The first element of the heap is the one with the smallest |
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| 116 | key.] |
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| 117 | |
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| 118 | SideEffects [None] |
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| 119 | |
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| 120 | SeeAlso [Heap_HeapFree] |
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| 121 | |
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| 122 | ******************************************************************************/ |
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| 123 | Heap_t * |
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| 124 | Heap_HeapInitCompare( |
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| 125 | int length, int (*compare)(const void *, const void *)) |
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| 126 | { |
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| 127 | Heap_t *heap; |
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| 128 | |
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| 129 | heap = ALLOC(Heap_t, 1); |
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| 130 | if (heap == NIL(Heap_t)) return NIL(Heap_t); |
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| 131 | heap->length = length; |
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| 132 | heap->nitems = 0; |
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| 133 | heap->compare = compare; |
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| 134 | heap->slots = ALLOC(HeapSlot_t, length); |
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| 135 | if (heap->slots == NIL(HeapSlot_t)) { |
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| 136 | FREE(heap); |
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| 137 | return NIL(Heap_t); |
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| 138 | } |
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| 139 | return heap; |
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| 140 | |
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| 141 | } /* Heap_HeapInitCompare */ |
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| 142 | |
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| 143 | |
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| 144 | /**Function******************************************************************** |
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| 145 | |
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| 146 | Synopsis [Frees a priority queue.] |
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| 147 | |
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| 148 | Description [] |
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| 149 | |
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| 150 | SideEffects [None] |
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| 151 | |
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| 152 | SeeAlso [Heap_HeapInit] |
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| 153 | |
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| 154 | ******************************************************************************/ |
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| 155 | void |
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| 156 | Heap_HeapFree( |
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| 157 | Heap_t *heap) |
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| 158 | { |
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| 159 | FREE(heap->slots); |
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| 160 | FREE(heap); |
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| 161 | return; |
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| 162 | |
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| 163 | } /* Heap_HeapFree */ |
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| 164 | |
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| 165 | |
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| 166 | /**Function******************************************************************** |
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| 167 | |
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| 168 | Synopsis [Inserts an item in a priority queue.] |
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| 169 | |
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| 170 | Description [Inserts an item in a priority queue. Returns 1 if |
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| 171 | successful; 0 otherwise.] |
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| 172 | |
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| 173 | SideEffects [None] |
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| 174 | |
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| 175 | SeeAlso [Heap_HeapExtractMin] |
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| 176 | |
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| 177 | ******************************************************************************/ |
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| 178 | int |
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| 179 | Heap_HeapInsert( |
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| 180 | Heap_t *heap, |
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| 181 | void *item, |
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| 182 | long key) |
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| 183 | { |
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| 184 | HeapSlot_t *slots; |
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| 185 | int i = heap->nitems; |
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| 186 | |
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| 187 | if (i == heap->length && !HeapResize(heap)) return 0; |
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| 188 | slots = heap->slots; |
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| 189 | heap->nitems++; |
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| 190 | while (i > 0 && KEY(slots, PARENT(i)) > key) { |
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| 191 | ITEM(slots, i) = ITEM(slots, PARENT(i)); |
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| 192 | KEY(slots, i) = KEY(slots, PARENT(i)); |
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| 193 | i = PARENT(i); |
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| 194 | } |
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| 195 | ITEM(slots, i) = item; |
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| 196 | KEY(slots, i) = key; |
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| 197 | return 1; |
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| 198 | |
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| 199 | } /* Heap_HeapInsert */ |
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| 200 | |
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| 201 | /**Function******************************************************************** |
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| 202 | |
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| 203 | Synopsis [Inserts an item in a priority queue.] |
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| 204 | |
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| 205 | Description [Inserts an item in a priority queue. Returns 1 if |
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| 206 | successful; 0 otherwise.] |
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| 207 | |
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| 208 | SideEffects [None] |
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| 209 | |
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| 210 | SeeAlso [Heap_HeapExtractMin] |
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| 211 | |
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| 212 | ******************************************************************************/ |
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| 213 | int |
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| 214 | Heap_HeapInsertCompare( |
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| 215 | Heap_t *heap, |
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| 216 | void *item, |
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| 217 | long key) |
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| 218 | { |
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| 219 | HeapSlot_t *slots; |
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| 220 | int i = heap->nitems; |
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| 221 | |
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| 222 | if (i == heap->length && !HeapResize(heap)) return 0; |
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| 223 | slots = heap->slots; |
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| 224 | heap->nitems++; |
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| 225 | while (i > 0 && (*(heap->compare))((char *)(long)KEY(slots, PARENT(i)), (char *)(long)key)) { |
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| 226 | ITEM(slots, i) = ITEM(slots, PARENT(i)); |
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| 227 | KEY(slots, i) = KEY(slots, PARENT(i)); |
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| 228 | i = PARENT(i); |
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| 229 | } |
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| 230 | ITEM(slots, i) = item; |
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| 231 | KEY(slots, i) = key; |
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| 232 | return 1; |
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| 233 | |
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| 234 | } /* Heap_HeapInsertCompare */ |
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| 235 | |
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| 236 | |
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| 237 | |
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| 238 | /**Function******************************************************************** |
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| 239 | |
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| 240 | Synopsis [Extracts the element with the minimum key from a priority |
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| 241 | queue.] |
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| 242 | |
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| 243 | Description [Extracts the element with the minimum key from a |
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| 244 | priority queue. Returns 1 if successful; 0 otherwise.] |
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| 245 | |
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| 246 | SideEffects [The minimum key and the associated item are returned as |
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| 247 | side effects.] |
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| 248 | |
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| 249 | SeeAlso [Heap_HeapInsert] |
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| 250 | |
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| 251 | ******************************************************************************/ |
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| 252 | int |
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| 253 | Heap_HeapExtractMin( |
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| 254 | Heap_t *heap, |
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| 255 | void *item, |
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| 256 | long *key) |
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| 257 | { |
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| 258 | HeapSlot_t *slots = heap->slots; |
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| 259 | |
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| 260 | if (heap->nitems == 0) return 0; |
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| 261 | *(void **)item = ITEM(slots, 0); |
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| 262 | *key = KEY(slots, 0); |
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| 263 | heap->nitems--; |
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| 264 | /* The next three lines are redundant if the queue is empty. */ |
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| 265 | ITEM(slots, 0) = ITEM(slots, heap->nitems); |
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| 266 | KEY(slots, 0) = KEY(slots, heap->nitems); |
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| 267 | if(heap->compare) HeapHeapifyCompare(heap); |
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| 268 | else HeapHeapify(heap); |
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| 269 | |
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| 270 | return 1; |
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| 271 | |
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| 272 | } /* Heap_HeapExtractMin */ |
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| 273 | |
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| 274 | |
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| 275 | /**Function******************************************************************** |
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| 276 | |
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| 277 | Synopsis [Returns the number of items in a priority queue.] |
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| 278 | |
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| 279 | Description [] |
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| 280 | |
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| 281 | SideEffects [None] |
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| 282 | |
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| 283 | SeeAlso [] |
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| 284 | |
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| 285 | ******************************************************************************/ |
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| 286 | int |
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| 287 | Heap_HeapCount( |
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| 288 | Heap_t *heap) |
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| 289 | { |
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| 290 | return(heap->nitems); |
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| 291 | |
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| 292 | } /* Heap_HeapCount */ |
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| 293 | |
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| 294 | |
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| 295 | /**Function******************************************************************** |
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| 296 | |
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| 297 | Synopsis [Clones a priority queue.] |
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| 298 | |
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| 299 | Description [] |
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| 300 | |
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| 301 | SideEffects [None] |
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| 302 | |
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| 303 | SeeAlso [Heap_HeapInit] |
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| 304 | |
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| 305 | ******************************************************************************/ |
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| 306 | Heap_t * |
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| 307 | Heap_HeapClone( |
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| 308 | Heap_t *source) |
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| 309 | { |
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| 310 | Heap_t *dest; |
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| 311 | int i; |
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| 312 | int nitems = source->nitems; |
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| 313 | HeapSlot_t *sslots = source->slots; |
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| 314 | HeapSlot_t *dslots; |
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| 315 | |
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| 316 | dest = Heap_HeapInit(source->length); |
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| 317 | if (dest == NULL) return(NULL); |
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| 318 | dest->nitems = nitems; |
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| 319 | dslots = dest->slots; |
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| 320 | for (i = 0; i < nitems; i++) { |
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| 321 | KEY(dslots, i) = KEY(sslots, i); |
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| 322 | ITEM(dslots, i) = ITEM(sslots, i); |
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| 323 | } |
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| 324 | return(dest); |
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| 325 | |
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| 326 | } /* Heap_HeapClone */ |
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| 327 | |
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| 328 | |
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| 329 | /**Function******************************************************************** |
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| 330 | |
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| 331 | Synopsis [Tests the heap property of a priority queue.] |
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| 332 | |
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| 333 | Description [Tests the heap property of a priority queue. Returns 1 if |
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| 334 | successful; 0 otherwise.] |
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| 335 | |
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| 336 | SideEffects [None] |
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| 337 | |
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| 338 | SeeAlso [] |
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| 339 | |
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| 340 | ******************************************************************************/ |
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| 341 | int |
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| 342 | Heap_HeapTest( |
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| 343 | Heap_t *heap) |
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| 344 | { |
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| 345 | HeapSlot_t *slots = heap->slots; |
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| 346 | int nitems = heap->nitems; |
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| 347 | int i; |
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| 348 | |
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| 349 | for (i = 1; i < nitems; i++) { |
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| 350 | if (KEY(slots,i) < KEY(slots, PARENT(i))) |
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| 351 | return 0; |
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| 352 | } |
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| 353 | return 1; |
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| 354 | |
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| 355 | } /* Heap_HeapTest */ |
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| 356 | |
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| 357 | /**Function******************************************************************** |
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| 358 | |
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| 359 | Synopsis [Tests the heap property of a priority queue.] |
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| 360 | |
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| 361 | Description [Tests the heap property of a priority queue. Returns 1 if |
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| 362 | successful; 0 otherwise.] |
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| 363 | |
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| 364 | SideEffects [None] |
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| 365 | |
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| 366 | SeeAlso [] |
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| 367 | |
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| 368 | ******************************************************************************/ |
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| 369 | int |
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| 370 | Heap_HeapTestCompare( |
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| 371 | Heap_t *heap) |
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| 372 | { |
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| 373 | HeapSlot_t *slots = heap->slots; |
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| 374 | int nitems = heap->nitems; |
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| 375 | int i; |
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| 376 | |
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| 377 | for (i = 1; i < nitems; i++) { |
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| 378 | if ((*(heap->compare))((char *)(long)KEY(slots, PARENT(i)), (char *)(long)KEY(slots,i))) |
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| 379 | return 0; |
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| 380 | } |
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| 381 | return 1; |
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| 382 | |
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| 383 | } /* Heap_HeapTest */ |
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| 384 | |
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| 385 | |
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| 386 | |
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| 387 | |
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| 388 | /*---------------------------------------------------------------------------*/ |
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| 389 | /* Definition of internal functions */ |
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| 390 | /*---------------------------------------------------------------------------*/ |
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| 391 | |
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| 392 | |
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| 393 | /*---------------------------------------------------------------------------*/ |
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| 394 | /* Definition of static functions */ |
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| 395 | /*---------------------------------------------------------------------------*/ |
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| 396 | |
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| 397 | |
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| 398 | /**Function******************************************************************** |
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| 399 | |
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| 400 | Synopsis [Maintains the heap property of a priority queue.] |
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| 401 | |
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| 402 | Description [] |
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| 403 | |
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| 404 | SideEffects [None] |
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| 405 | |
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| 406 | SeeAlso [Heap_HeapExtractMin] |
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| 407 | |
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| 408 | ******************************************************************************/ |
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| 409 | static void |
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| 410 | HeapHeapify( |
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| 411 | Heap_t *heap) |
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| 412 | { |
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| 413 | int nitems = heap->nitems; |
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| 414 | HeapSlot_t *slots = heap->slots; |
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| 415 | int i = 0; |
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| 416 | int smallest = 0; |
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| 417 | void *item = ITEM(slots, 0); |
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| 418 | long key = KEY(slots, 0); |
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| 419 | |
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| 420 | while (1) { |
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| 421 | int left = LEFT(i); |
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| 422 | int right = RIGHT(i); |
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| 423 | int minkey; |
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| 424 | if (left < nitems && (minkey = KEY(slots, left)) < key) { |
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| 425 | smallest = left; |
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| 426 | } else { |
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| 427 | minkey = key; |
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| 428 | } |
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| 429 | if (right < nitems && KEY(slots, right) < minkey) { |
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| 430 | smallest = right; |
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| 431 | } |
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| 432 | if (smallest == i) break; |
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| 433 | KEY(slots, i) = KEY(slots, smallest); |
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| 434 | ITEM(slots, i) = ITEM(slots, smallest); |
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| 435 | i = smallest; |
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| 436 | } |
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| 437 | KEY(slots, i) = key; |
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| 438 | ITEM(slots, i) = item; |
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| 439 | return; |
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| 440 | |
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| 441 | } /* HeapHeapify */ |
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| 442 | |
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| 443 | /**Function******************************************************************** |
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| 444 | |
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| 445 | Synopsis [Tests the heap property of a priority queue.] |
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| 446 | |
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| 447 | Description [Tests the heap property of a priority queue. Returns 1 if |
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| 448 | successful; 0 otherwise.] |
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| 449 | |
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| 450 | SideEffects [None] |
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| 451 | |
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| 452 | SeeAlso [] |
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| 453 | |
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| 454 | ******************************************************************************/ |
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| 455 | static void |
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| 456 | HeapHeapifyCompare( |
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| 457 | Heap_t *heap) |
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| 458 | { |
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| 459 | int nitems = heap->nitems; |
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| 460 | HeapSlot_t *slots = heap->slots; |
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| 461 | int i = 0; |
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| 462 | int smallest = 0; |
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| 463 | void *item = ITEM(slots, 0); |
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| 464 | int key = KEY(slots, 0); |
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| 465 | int minkey; |
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| 466 | |
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| 467 | |
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| 468 | while (1) { |
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| 469 | int left = LEFT(i); |
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| 470 | int right = RIGHT(i); |
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| 471 | if (left < nitems && (*(heap->compare))((char *)(long)key, (char *)(long)(minkey = KEY(slots, left)))) { |
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| 472 | smallest = left; |
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| 473 | } else { |
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| 474 | minkey = key; |
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| 475 | } |
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| 476 | if (right < nitems && (*(heap->compare))((char *)(long)minkey, (char *)(long)KEY(slots, right))) { |
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| 477 | smallest = right; |
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| 478 | } |
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| 479 | if (smallest == i) break; |
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| 480 | KEY(slots, i) = KEY(slots, smallest); |
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| 481 | ITEM(slots, i) = ITEM(slots, smallest); |
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| 482 | i = smallest; |
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| 483 | } |
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| 484 | KEY(slots, i) = key; |
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| 485 | ITEM(slots, i) = item; |
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| 486 | return; |
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| 487 | |
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| 488 | } /* HeapHeapifyCompare */ |
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| 489 | |
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| 490 | |
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| 491 | /**Function******************************************************************** |
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| 492 | |
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| 493 | Synopsis [Resizes a priority queue.] |
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| 494 | |
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| 495 | Description [Resizes a priority queue by doubling the number of |
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| 496 | available slots. Returns 1 if successful; 0 otherwise.] |
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| 497 | |
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| 498 | SideEffects [None] |
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| 499 | |
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| 500 | SeeAlso [Heap_HeapInsert] |
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| 501 | |
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| 502 | ******************************************************************************/ |
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| 503 | static int |
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| 504 | HeapResize( |
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| 505 | Heap_t *heap) |
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| 506 | { |
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| 507 | int oldlength = heap->length; |
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| 508 | int newlength = 2 * oldlength; |
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| 509 | HeapSlot_t *oldslots = heap->slots; |
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| 510 | HeapSlot_t *newslots = REALLOC(HeapSlot_t, oldslots, newlength); |
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| 511 | if (newslots == NIL(HeapSlot_t)) return 0; |
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| 512 | heap->length = newlength; |
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| 513 | heap->slots = newslots; |
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| 514 | if (heap->compare) { |
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| 515 | assert(Heap_HeapTestCompare(heap)); |
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| 516 | } |
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| 517 | else { |
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| 518 | assert(Heap_HeapTest(heap)); |
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| 519 | } |
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| 520 | return 1; |
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| 521 | |
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| 522 | } /* HeapResize */ |
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| 523 | |
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| 524 | /**Function******************************************************************** |
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| 525 | |
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| 526 | Synopsis [Apply function for each element of heap.] |
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| 527 | |
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| 528 | Description [Apply function for each element of heap. |
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| 529 | Returns 1 if successful; 0 otherwise.] |
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| 530 | |
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| 531 | SideEffects [ ] |
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| 532 | |
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| 533 | SeeAlso [ ] |
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| 534 | |
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| 535 | ******************************************************************************/ |
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| 536 | void |
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| 537 | Heap_HeapApplyForEachElement(Heap_t *heap, int (*compare)(const void *)) |
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| 538 | { |
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| 539 | int i; |
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| 540 | |
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| 541 | for(i=0; i<heap->nitems; i++) { |
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| 542 | (*compare)(heap->slots[i].item); |
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| 543 | } |
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| 544 | return; |
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| 545 | } |
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