X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=ucw%2Fheap.h;h=74e8a12445c39a266b66a465c8c6d4f7b7d97454;hb=97d134124cb7f43e34a976e0d6a79622c67cb455;hp=ec8f4f3a5fbc63f1ef21ef18720b285f7e8f3e15;hpb=f17e4350dcf0c033891e52b30b0c32a4a4fed5e0;p=libucw.git diff --git a/ucw/heap.h b/ucw/heap.h index ec8f4f3a..74e8a124 100644 --- a/ucw/heap.h +++ b/ucw/heap.h @@ -36,6 +36,16 @@ * * The first element `heap[1]` is always lower or equal to all other elements. * + * Position tracking + * ----------------- + * + * As a heap does not support efficient lookup of an element by value, all functions + * acting on existing heap elements need to obtain the position of the element in the + * heap. This position has to be tracked by the caller, usually in the supplied swap + * callback. + * + * However, there are some caveats noted in the descriptions of individual functions. + * * [[macros]] * Macros * ------ @@ -70,6 +80,8 @@ /** * Shuffle the items `heap[1]`, ..., `heap[num]` to get a valid heap. * This operation takes linear time. + * + * Position tracking: Position of `heap[i]` must be initialized to `i` before calling. **/ #define HEAP_INIT(type,heap,num,less,swap) \ do { \ @@ -87,6 +99,8 @@ /** * Delete the minimum element `heap[1]` in `O(log(n))` time. The @num variable is decremented. * The removed value is moved just after the resulting heap (`heap[num + 1]`). + * + * Position tracking: Fully automatic. **/ #define HEAP_DELETE_MIN(type,heap,num,less,swap) \ do { \ @@ -101,6 +115,9 @@ /** * Insert a new element @elt to the heap. The @num variable is incremented. * This operation takes `O(log(n))` time. + * + * Position tracking: The position of the new element must be initialized to @num+1 + * before calling this macro. **/ #define HEAP_INSERT(type,heap,num,less,swap,elt) \ do { \ @@ -114,6 +131,8 @@ /** * Increase `heap[pos]` to a new value @elt (greater or equal to the previous value). * The time complexity is `O(log(n))`. + * + * Position tracking: Fully automatic. **/ #define HEAP_INCREASE(type,heap,num,less,swap,pos,elt) \ do { \ @@ -127,6 +146,8 @@ /** * Decrease `heap[pos]` to a new value @elt (less or equal to the previous value). * The time complexity is `O(log(n))`. + * + * Position tracking: Fully automatic. **/ #define HEAP_DECREASE(type,heap,num,less,swap,pos,elt) \ do { \ @@ -141,6 +162,8 @@ * Change `heap[pos]` to a new value @elt. The time complexity is `O(log(n))`. * If you know that the new value is always smaller or always greater, it is faster * to use `HEAP_DECREASE` or `HEAP_INCREASE` respectively. + * + * Position tracking: Fully automatic. **/ #define HEAP_REPLACE(type,heap,num,less,swap,pos,elt) \ do { \ @@ -153,6 +176,8 @@ /** * Replace the minimum `heap[pos]` by a new value @elt. The time complexity is `O(log(n))`. + * + * Position tracking: Fully automatic. **/ #define HEAP_REPLACE_MIN(type,heap,num,less,swap,elt) \ HEAP_INCREASE(type,heap,num,less,swap,1,elt) @@ -160,11 +185,20 @@ /** * Delete an arbitrary element, given by its position. The @num variable is decremented. * The operation takes `O(log(n))` time. + * + * Position tracking: Fully automatic. **/ #define HEAP_DELETE(type,heap,num,less,swap,pos) \ do { \ + uns _j, _l, _u; \ + type x; \ + _j = pos; \ + swap(heap,_j,num,x); \ num--; \ - HEAP_REPLACE(type,heap,num,less,swap,pos,heap[num+1]); \ + if (less(heap[_j], heap[num+1])) \ + HEAP_BUBBLE_UP_J(heap,num,less,swap) \ + else \ + HEAP_BUBBLE_DOWN_J(heap,num,less,swap); \ } while(0) /**