堆的实现
Heap.h 堆的管理及接口
Heap.c 堆各个接口功能的实现
test.c测试
堆的实现
#include<stdio.h>
#include<stdlib.h>
#include<assert.h>
typedef int HPDataType;
typedef struct Heap
{
HPDataType* a;
int size;
int capacity;
}Heap;
//堆的向下调整算法
void AdjustDown(HPDataType* a, int n, int root);
//堆的向上调整算法
void AdjustUp(HPDataType* a, int child);
//堆的初始化
void HeapInit(Heap* php, HPDataType* a,int n);
//堆的销毁
void HeapDestroy(Heap* php);
//堆的插入
void HeapPush(Heap* php, HPDataType x);
//堆的删除
void HeapPop(Heap* php);
//堆里的数据个数
int HeapSize(Heap* php);
//判断堆是否为空
int HeapEmpty(Heap* php);
//取堆顶数据
HPDataType HeapTop(Heap* php);
Heap.c 堆各个接口功能的实现• 堆的插入:将x插入下标为size的位置,++size然后使用向上调整算法调整
• 堆的删除(删栈顶数据):将栈顶数据和下标为size-1位置的数据交换,然后–size,使用向下调整算法调整
#include "Heap.h"
//堆向下调整算法
//建小堆
void AdjustDown(HPDataType* a, int n, int root)
{
int parent = root;
int child = parent * 2 + 1;
//孩子超过数组下标结束
while (child < n)
{
//child始终左右孩子中小的那个
if (a[child + 1] < a[child] && child + 1 <n)//防止没有右孩子
{
++child;
}
//小的往上浮,大的往下沉
if (a[child] < a[parent])
{
int tem = a[parent];
a[parent] = a[child];
a[child] = tem;
parent = child;
child = parent * 2 + 1;
}
//中途child>parent则已满足小堆,直接break
else
{
break;
}
}
}
//堆的向上调整算法
//建小堆
void AdjustUp(HPDataType* a, int child)
{
int parent = (child - 1) / 2;
while (child > 0)
{
if (a[child] < a[parent])
{
int tem = a[parent];
a[parent] = a[child];
a[child] = tem;
child = parent;
parent = (child - 1) / 2;
}
else
{
break;
}
}
}
//堆的初始化
void HeapInit(Heap* php, HPDataType* a, int n)
{
assert(php);
assert(a);
php->a = (HPDataType*)malloc(n * sizeof(HPDataType));
if (php->a == NULL)
{
printf("malloc fail\n");
exit(-1);
}
for (int i = 0; i < n; i++)
{
php->a[i] = a[i];
}
//建堆
for (int i = (n - 2) / 2; i >= 0; --i)
{
AdjustDown(php->a, n, i);
}
php->capacity = n;
php->size = n;
}
//堆的销毁
void HeapDestroy(Heap* php)
{
assert(php);
free(php->a);
php->a = NULL;
php->capacity = 0;
php->size = 0;
}
//堆的插入
void HeapPush(Heap* php, HPDataType x)
{
assert(php);
if (php->size == php->capacity)
{
HPDataType* tem = (HPDataType*)realloc(php->a,php->capacity * 2 * sizeof(HPDataType));
if (tem == NULL)
{
printf("realloc fail\n");
exit(-1);
}
php->a = tem;
php->capacity *= 2;
}
php->a[php->size] = x;
++php->size;
AdjustUp(php->a,php->size - 1);
}
//堆的删除
void HeapPop(Heap* php)
{
assert(php);
assert(php->size > 0);
HPDataType tem = php->a[php->size - 1];
php->a[php->size - 1] = php->a[0];
php->a[0] = tem;
--php->size;
AdjustDown(php->a, php->size, 0);
}
//堆里的数据个数
int HeapSize(Heap* php)
{
assert(php);
return php->size;
}
//判断堆是否为空
//为空返回1,不为空返回0
int HeapEmpty(Heap* php)
{
assert(php);
return php->size == 0 ? 1 : 0;
}
//取堆顶数据
HPDataType HeapTop(Heap* php)
{
assert(php);
assert(php->size > 0);
return php->a[0];
}
test.c测试
#include "Heap.h"
void TestHeap()
{
int arr[] = { 27, 28, 65, 25, 15, 34, 19, 49, 18, 37 };
Heap hp;
HeapInit(&hp, arr, sizeof(arr)/sizeof(int));
while (!HeapEmpty(&hp))
{
printf("%d ", HeapTop(&hp));
HeapPop(&hp);
}
printf("\n");
HeapDestroy(&hp);
}
int main()
{
TestHeap();
return 0;
}
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