哈希表
哈希表的原理精讲
哈希表 - 散列表,它是基于快速存取的角度设计的,也是一种典型的“空间换时间”的做法
需求:实现一种算法可以根据宠物编号快速找到宠物,并且获取宠物信息
- 先按照宠物编号给宠物有规律的分组(下方利用的是 编号%5)
- 访问的时候,先找到组,再根据组找宠物,这样可以提高搜索效率
键(key): | 宠物的编号 如, 1 、 5 、 19 。。。 |
---|---|
值(value): | 宠物的其它信息(包含性别、年龄和战斗力等) |
索引(index): | 数组的下标(0,1,2,3,4) ,用以快速定位和检索数据 |
哈希桶: | 保存索引的数组(链表或数组),数组成员为每一个索引值相同的多个元素 |
哈希函数: | 将宠物编号映射到索引上,采用求余法,如:组员编号 19 |
- 0 1 2 3 4 :从纵向看是二级指针数组保存了一级指针,每一个一级指针都是一个链表的队头
- 即 : 二级指针保存了链表的队头
哈希链表的算法实现
哈希链表数据结构的定义
//哈希表实现
struct MyHash
{
int key;
void * data;
MyHash *next;
};
struct MyHashList
{
//索引数目
int indexNum;
//保存索引的队头
//MyHash *myHashArr[];数组是不可以改变指向,所以不能接受开辟的内存
MyHash **myHashArr;
};
哈希链表初始化
//改变一级指针保存的值,需要使用二级指针
bool initMyHashList(MyHashList * myHashList, int indexNum)
{
if (myHashList == NULL)return false;
myHashList->indexNum = indexNum;
myHashList->myHashArr = new MyHash*[myHashList->indexNum];
if (myHashList->myHashArr == NULL)return false;
for (int i = 0; i < indexNum; i++)
{
int temp = i;
myHashList->myHashArr[i] = new MyHash;
//分配内存成功,就至0
if (myHashList->myHashArr[i] != NULL)
{
memset(myHashList->myHashArr[i], 0, sizeof(MyHash));
}
else
{
//分配内存失败,释放之前所有分配的内存
for (int j = 0; j < temp - 1; j++)
{
delete myHashList->myHashArr[j];
}
delete myHashList->myHashArr;
return false;
}
}
return true;
}
哈希函数
//获取哈希索引
int getHashIndex(int key, int indexNum)
{
return key % indexNum;
}
哈希链表插入元素
//插入元素
void insertHashCode(MyHashList * hashList, int key, void * data)
{
if (hashList == NULL)return;
if (data == NULL)return;
//创建节点并且初始化节点
MyHash * code = new MyHash;
if (code == NULL)return;
code->data = data;
code->key = key;
code->next = NULL;
//获取哈希索引
int index = getHashIndex(key, hashList->indexNum);
//插入:头插法
MyHash * temp = hashList->myHashArr[index]->next;
hashList->myHashArr[index]->next = code;
code->next = temp;
MyHash * temp2 = hashList->myHashArr[1]->next;
}
哈希链表删除元素
//删除元素
void deleteHashCode(MyHashList * hashList, int key)
{
if (hashList == NULL)return;
//获取哈希索引
int index = getHashIndex(key,hashList->indexNum);
MyHash * pre = hashList->myHashArr[index];
MyHash * cur = pre->next;
while (cur)
{
if (cur->key == key)
{
pre->next = cur->next;
delete cur;
cur = NULL;
break;
}
pre = cur;
cur = pre->next;
}
}
哈希链表销毁
//销毁哈希链表
void destoryMyHashList(MyHashList * hashList)
{
if (hashList == NULL)return;
for (int i = 0; i < hashList->indexNum; i++)
{
MyHash * temp = hashList->myHashArr[i];
MyHash * temp1 = temp->next;
while (temp1 != NULL)
{
temp->next = temp1->next;
delete temp1;
temp1 = temp->next;
}
delete hashList->myHashArr[i];
}
delete[] hashList->myHashArr;
}
哈希链表查找元素
//查找元素
MyHash * searchHashCode(MyHashList * hashList, int key)
{
if (hashList == NULL)return NULL;
//获取哈希索引
int index = getHashIndex(key, hashList->indexNum);
MyHash * cur = hashList->myHashArr[index]->next;
while (cur)
{
if (cur->key == key)
{
return cur;
break;
}
cur = cur->next;
}
}
哈希链表实现完整代码(相对常用):
#include<iostream>
using namespace std;
//哈希表实现
struct MyHash
{
int key;
void * data;
MyHash *next;
};
struct MyHashList
{
//索引数目
int indexNum;
//保存索引的队头
//MyHash *myHashArr[];数组是不可以改变指向,所以不能接受开辟的内存
MyHash **myHashArr;
};
//改变一级指针保存的值,需要使用二级指针
bool initMyHashList(MyHashList * myHashList, int indexNum)
{
if (myHashList == NULL)return false;
myHashList->indexNum = indexNum;
myHashList->myHashArr = new MyHash*[myHashList->indexNum];
if (myHashList->myHashArr == NULL)return false;
for (int i = 0; i < indexNum; i++)
{
int temp = i;
myHashList->myHashArr[i] = new MyHash;
//分配内存成功,就至0
if (myHashList->myHashArr[i] != NULL)
{
memset(myHashList->myHashArr[i], 0, sizeof(MyHash));
}
else
{
//分配内存失败,释放之前所有分配的内存
for (int j = 0; j < temp - 1; j++)
{
delete myHashList->myHashArr[j];
}
delete myHashList->myHashArr;
return false;
}
}
return true;
}
//获取哈希索引
int getHashIndex(int key, int indexNum)
{
return key % indexNum;
}
//插入元素
void insertHashCode(MyHashList * hashList, int key, void * data)
{
if (hashList == NULL)return;
if (data == NULL)return;
//创建节点并且初始化节点
MyHash * code = new MyHash;
if (code == NULL)return;
code->data = data;
code->key = key;
code->next = NULL;
//获取哈希索引
int index = getHashIndex(key, hashList->indexNum);
//插入:头插法
MyHash * temp = hashList->myHashArr[index]->next;
hashList->myHashArr[index]->next = code;
code->next = temp;
MyHash * temp2 = hashList->myHashArr[1]->next;
}
//删除元素
void deleteHashCode(MyHashList * hashList, int key)
{
if (hashList == NULL)return;
//获取哈希索引
int index = getHashIndex(key,hashList->indexNum);
MyHash * pre = hashList->myHashArr[index];
MyHash * cur = pre->next;
while (cur)
{
if (cur->key == key)
{
pre->next = cur->next;
delete cur;
cur = NULL;
break;
}
pre = cur;
cur = pre->next;
}
}
//查找元素
MyHash * searchHashCode(MyHashList * hashList, int key)
{
if (hashList == NULL)return NULL;
//获取哈希索引
int index = getHashIndex(key, hashList->indexNum);
MyHash * cur = hashList->myHashArr[index]->next;
while (cur)
{
if (cur->key == key)
{
return cur;
break;
}
cur = cur->next;
}
}
//遍历元素
void printHashList(MyHashList *hashList)
{
if (hashList == NULL)return;
for (int i = 0; i < hashList->indexNum; i++)
{
MyHash * temp = hashList->myHashArr[i]->next;
cout << "key % hashList.indexNum = " << i << endl;
while (temp != NULL)
{
cout << "key = " << temp->key << " " << "data = " << *((char*)(temp->data)) << endl;
temp = temp->next;
}
cout << endl;
}
}
//销毁哈希链表
void destoryMyHashList(MyHashList * hashList)
{
if (hashList == NULL)return;
for (int i = 0; i < hashList->indexNum; i++)
{
MyHash * temp = hashList->myHashArr[i];
MyHash * temp1 = temp->next;
while (temp1 != NULL)
{
temp->next = temp1->next;
delete temp1;
temp1 = temp->next;
}
delete hashList->myHashArr[i];
}
delete hashList->myHashArr;
}
int main()
{
//初始化
MyHashList * hashList = new MyHashList;
initMyHashList(hashList, 5);
char arr[25];
for (int i = 0; i < 25; i++)
{
arr[i] = (i + 'A');
}
//插入元素
for (int i = 0; i < 25; i++)
{
insertHashCode(hashList, i + 1, &arr[i]);
}
//删除元素
deleteHashCode(hashList, 10);
//查找元素
MyHash * myHashCode = searchHashCode(hashList, 25);
cout << "key = 25 " << "data = " << *((char*)myHashCode->data) << endl << endl;
//打印元素
printHashList(hashList);
//销毁
destoryMyHashList(hashList);
delete hashList;
hashList = NULL;
system("pause");
return 0;
}
哈希数组实现完整代码:
- 这里使用了三级指针,第一次使用,确实刺激
#include<iostream>
using namespace std;
//哈希表实现
struct MyHash
{
int key;
void * data;
};
struct MyHashArr
{
MyHash ** *hashArr;//这是一个保存*hashArr类型的二维数组
int *arr;//用于记录每一个桶所保存的元素
int size;
int IndexNum;
};
//初始化
void initMyHashArr(MyHashArr * myHashArr, int size, int indexNum)
{
if (myHashArr == NULL || size < 0 || indexNum < 0)return;
myHashArr->size = size;
myHashArr->IndexNum = indexNum;
myHashArr->hashArr = new MyHash**[indexNum];
myHashArr->arr = new int[indexNum];
memset(myHashArr->arr, 0, sizeof(int)*indexNum);
for (int i = 0; i < indexNum; i++)
{
int temp = i;
myHashArr->hashArr[i] = new MyHash*[size];
//分配内存成功,就至0
if (myHashArr->hashArr[i] != NULL)
{
memset(myHashArr->hashArr[i], 0, sizeof(MyHash));
}
else
{
//分配内存失败,释放之前所有分配的内存
for (int j = 0; j < temp - 1; j++)
{
delete myHashArr->hashArr[j];
}
delete myHashArr->hashArr;
delete myHashArr->arr;
return;
}
}
}
//获取哈希索引
int getHashIndex(MyHashArr * myHashArr, int key)
{
if (myHashArr == NULL || key < 0)return 0;
return key % myHashArr->IndexNum;
}
//插入元素
void insertHashIndex(MyHashArr * myHashArr, int key, void * data)
{
if (myHashArr == NULL || key < 0 || data == NULL)return;
//创建结构体
MyHash * code = new MyHash;
if (code == NULL)return;
code->data = data;
code->key = key;
int index = getHashIndex(myHashArr, key);
//判断索引为index的数组有没有满,如果满了直接退出
if (myHashArr->size == myHashArr->arr[index])return;
myHashArr->hashArr[index][myHashArr->arr[index]] = code;
myHashArr->arr[index]++;
}
//打印哈希
void printHashArr(MyHashArr * myHashArr)
{
if (myHashArr == NULL)return;
for (int i = 0; i < myHashArr->IndexNum; i++)
{
cout << "------------------" << i << "--------------------" << endl;
for (int j = 0; j < myHashArr->arr[i]; j++)
{
cout << "key = " << myHashArr->hashArr[i][j]->key << " data=" << *((char *)(myHashArr->hashArr[i][j]->data)) << endl;
}
}
}
//删除元素
void deleteHashCode(MyHashArr * myHashArr, int key)
{
if (myHashArr == NULL || key < 0)return;
int index = getHashIndex(myHashArr, key);
for (int i = 0; i < myHashArr->arr[index]; i++)
{
int temp = i;
if (myHashArr->hashArr[index][i]->key == key)
{
for (int j = i + 1; j < myHashArr->arr[index]; j++)
{
myHashArr->hashArr[index][j - 1] = myHashArr->hashArr[index][j];
}
myHashArr->arr[index]--;
return;
}
}
return;
}
//搜索元素
MyHash * findHashIndex(MyHashArr * myHashArr, int key)
{
if (myHashArr == NULL || key < 0)return NULL;
int index = getHashIndex(myHashArr, key);
for (int i = 0; i < myHashArr->arr[index]; i++)
{
int temp = i;
if (myHashArr->hashArr[index][i]->key == key)
{
return myHashArr->hashArr[index][i];
}
}
return NULL;
}
//销毁哈希
void destoryHashIndex(MyHashArr * myHashArr)
{
if (myHashArr == NULL)return;
for (int i = 0; i < myHashArr->IndexNum; i++)
{
delete[] myHashArr->hashArr[i];
myHashArr->hashArr[i] = NULL;
}
delete[] myHashArr->arr;
delete[] myHashArr->hashArr;
myHashArr->arr = NULL;
myHashArr->hashArr = NULL;
}
int main()
{
MyHashArr * myHashArr = new MyHashArr;
initMyHashArr(myHashArr,5,5);
char arr[25];
for (int i = 0; i < 19; i++)
{
arr[i] = ('A' + i);
insertHashIndex(myHashArr, i + 1, &arr[i]);
}
//删除元素
deleteHashCode(myHashArr, 16);
//查找元素
MyHash * code = findHashIndex(myHashArr, 7);
cout << "key = " << code ->key << " data=" << *((char *)(code->data)) << endl;
printHashArr(myHashArr);
//销毁
destoryHashIndex(myHashArr);
delete myHashArr;
system("pause");
return 0;
}
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