如何修改最大堆中值的优先级？

Question

我正在写一个max-heap，可以改变priority/value。但是，我很难理解我的代码有什么问题。我已将此作为参考：ref 这是我的代码（我隐藏了一些功能，因为它不是这里的重点）

static void swap(MAX_HEAP *heap, int i, int j);
static void swim(MAX_HEAP *heap, int k);
static void sink(MAX_HEAP *heap, int k);

void swap(MAX_HEAP *heap, int i, int j) {
    HEAP_ELEM s;
    int k;

    s = heap->binary_heap[i];
    k = heap->keys[s.fu];

    heap->binary_heap[i] = heap->binary_heap[j];
    heap->keys[k] = heap->keys[heap->binary_heap[j].fu];

    heap->keys[heap->binary_heap[j].fu] = k;
    heap->binary_heap[j] = s;
}

void swim(MAX_HEAP *heap, int k) {
    int m;
    m = k / 2.0;
    while (k > 1 && heap->binary_heap[m].priority < heap->binary_heap[k].priority) {
        swap(heap, k, m);
        k = m;
        m = k / 2.0;
    }
}

void sink(MAX_HEAP *heap, int k) {
    int j;
    while (2 * k <= heap->n) {
        j = 2 * k;
        if (j < heap->n && heap->binary_heap[j].priority < heap->binary_heap[j + 1].priority)
            j++;
        if (!(heap->binary_heap[k].priority < heap->binary_heap[j].priority))
            break;
        swap(heap, k, j);
        k = j;
    }
}

MAX_HEAP *create_maxheap(int capacity) {
    int i;

    MAX_HEAP *ret;
    ret = (MAX_HEAP*) malloc(sizeof (MAX_HEAP));
    ret->n = 0;
    ret->binary_heap = (HEAP_ELEM*) malloc(sizeof (HEAP_ELEM) * (capacity + 1));
    ret->binary_heap[0].fu = 0;
    ret->binary_heap[0].priority = 0;
    ret->max = capacity;

    ret->keys = (int*) malloc(sizeof (int) * (capacity + 1));
    for (i = 0; i <= capacity + 1; i++) {
        ret->keys[i] = -1;
    }

    return ret;
}

HEAP_ELEM get_maxheap(MAX_HEAP *heap) {
    HEAP_ELEM ret;
    if (heap->n == 0) {
        return;
    }
    ret = heap->binary_heap[1];

    heap->keys[ret.fu] = -1;

    swap(heap, 1, heap->n);
    heap->n--;
    sink(heap, 1);

    return ret;
}

void insert_maxheap(MAX_HEAP *heap, int fu, int p) {
    if (heap->n + 1 >= heap->max) {
        int i;
        heap->max *= 2;
        heap->keys = (int*) realloc(heap->keys, sizeof (int) * (heap->max + 1));
        heap->binary_heap = (HEAP_ELEM*) realloc(heap->binary_heap, sizeof (HEAP_ELEM) * (heap->max + 1));
        for (i = heap->n+1; i < heap->max + 1; i++) {
            heap->keys[i] = -1;
        }
    }

    heap->n++;
    heap->binary_heap[heap->n].fu = fu;
    heap->binary_heap[heap->n].priority = p;
    heap->keys[fu] = heap->n;
    swim(heap, heap->n);
}

void modify_maxheap(MAX_HEAP *heap, int fu, int p) {
    int i;
    i = heap->keys[fu];
    int old;

    if (i == -1) {
        insert_maxheap(heap, fu, p);
        return;
    }

    old = heap->binary_heap[i].priority;

    heap->binary_heap[i].fu = fu;
    heap->binary_heap[i].priority = p;
    heap->keys[fu] = i;

    if (old < p) {
        /* we need to bubble up*/
        swim(heap, i);
    } else if (old > p) {
        //we need to bubble down
        sink(heap, i);
    }
}

当我执行以下操作时，结果很糟糕...这里有什么问题吗？例如...

int main(int argc, char** argv) {
    MAX_HEAP *heap, *heap2;
    HEAP_ELEM he;
    heap = create_maxheap(3);

    modify_maxheap(heap, 1, 7);
    modify_maxheap(heap, 2, 10);
    modify_maxheap(heap, 3, 78);
    modify_maxheap(heap, 4, 3);
    modify_maxheap(heap, 5, 45);

    printf("heap 1\n\n");
    while(heap->n > 0) {
        he = get_maxheap(heap);
        printf("..fu: %d; value: %d\n", he.fu, he.priority);
    }
    printf("max size of heap1: %d\n", heap->max);
    printf("\n\n");

    heap2 = create_maxheap(10);

    modify_maxheap(heap2, 3, 90);
    modify_maxheap(heap2, 1, 7);    
    modify_maxheap(heap2, 2, 10);
    modify_maxheap(heap2, 3, 9);
    modify_maxheap(heap2, 3, 92);
    modify_maxheap(heap2, 4, 3);
    modify_maxheap(heap2, 3, 90);
    modify_maxheap(heap2, 1, 99);
    modify_maxheap(heap2, 5, 45);
    modify_maxheap(heap2, 1, 89);

    printf("heap 2\n\n");
     while(heap2->n > 0) {
        he = get_maxheap(heap2);
        printf("fu: %d; value: %d\n", he.fu, he.priority);
    }


    return (EXIT_SUCCESS);
}

请注意，我正在使用一个数组来存储 HEAP_ELEM 的索引，以便了解 HEAP_ELEM 的位置（它具有作为主键的 "fu" 并更改其优先级。这是我的输出：

heap 1

..fu: 3; value: 78
..fu: 5; value: 45
..fu: 2; value: 10
..fu: 1; value: 7
..fu: 4; value: 3
max size of heap1: 6


heap 2

fu: 1; value: 99
fu: 3; value: 90
fu: 1; value: 89
fu: 5; value: 45
fu: 4; value: 3

Answer 1

我已经更改了我的 modify_maxheap 函数并且它起作用了：

void modify_maxheap(MAX_HEAP *heap, int fu, int p) {
    int i;
    i = heap->keys[fu];

    if (i == -1) {
        insert_maxheap(heap, fu, p);
        return;
    }    

    heap->binary_heap[i].priority = p;
    swim(heap, i);
    sink(heap, i);
}

原因是我们必须在任何修改的情况下向上冒泡和向下冒泡以保证堆条件。我希望它可以作为某人的基地。

如何修改最大堆中值的优先级？

How to modify the priority of a value in a max-heap?

c

binary-heap

max-heap