利用数组栈将中缀表达式转换成后缀表达式 (二)

2014-11-24 00:43:50 · 作者: · 浏览: 7
NULL)
printf("Create stack error!\n");

S->Array = malloc(sizeof(char) * Max);
if (S->Array == NULL)
printf("Create stack error!\n");

S->Capacity = Max;
S->Top_of_stack = 0;
return S;
}

/* 释放栈 */
void DisposeStack(Stack S)
{
if (S != NULL)
{
free(S->Array);
free(S);
}
}

/* 判断一个栈是否是空栈 */
int IsEmpty(Stack S)
{
return !S->Top_of_stack;
}

/* 判断一个栈是否满栈 */
int IsFull(Stack S)
{
if (S->Top_of_stack == S->Capacity - 1)
return 1;
else
return 0;
}


/* 数据入栈 */
int Push(int x, Stack S)
{
if (IsFull(S))
printf("The Stack is full!\n");
else
S->Array[S->Top_of_stack++] = x;
}

/* 数据出栈 */
int Pop(Stack S)
{
if (IsEmpty(S))
printf("The Stack is empty!\n");
else
S->Top_of_stack--;
}

/* 将栈顶返回 */
char Top(Stack S)
{
if (!IsEmpty(S))
return S->Array[S->Top_of_stack-1];
printf("The Stack is empty!\n");
return 0;
}

/* 计算优先级 */
int getPriority(char a)
{
switch(a)
{
case '#':
return 0;
break;
case '+':
case '-':
return 1;
break;
case '*':
case '/':
return 2;
break;
case '(':
return 3;
break;
default:
break;
}
}

int main()
{
int i, len;
char str[100];
printf("Please input the Infix expression that you want to change: \n");
scanf("%s", str);
len = strlen(str);
/* 根据序列的长度来创建栈 */
struct Mystack *my_stack = CreateStack(len+1);
/* 利用‘#’是为了第一进栈时能方便统一的进行判断 */
Push('#', my_stack);
for (i = 0; i < len; i++)
{
if ((str[i] >= '0' && str[i] <= '9') || (str[i] >= 'a' && str[i] <= 'z')) /* 操作数 */
{
printf("%c", str[i]);
}
else if (str[i] != ')' && getPriority(str[i]) > getPriority(Top(my_stack))) /* 当栈顶元素优先级比下一个操作符优先级小时,把外面的操作符直接进栈 */
{
Push(str[i], my_stack);
}
else if (str[i] != ')' && getPriority(str[i]) <= getPriority(Top(my_stack)))/* 栈顶元素优先级大于等于下一个操作符的优先级,这时要出栈,但要确保'('不出栈 */
{
while(getPriority(str[i]) <= getPriority(Top(my_stack)) && Top(my_stack) != '(' )
{
printf("%c", Top(my_stack));
Pop(my_stack);
}
Push(str[i], my_stack);
}
else if (str[i] == ')') /* 如果遇见一个右括号,那么就将栈顶元素弹出,直至遇见一个左括号为止 */
{
while (Top(my_stack) != '(')
{
printf("%c", Top(my_stack));
Pop(my_stack);
}
Pop(my_stack);
}
}

/* 输出栈中剩余的元素 */
if (!IsEmpty(my_stack))
{
while (Top(my_stack) != '#')
{
printf("%c", Top(my_stack));
Pop(my_stack);
}
printf("\n");
}
DisposeStack(my_stack);
return 0;
}

测试数据:


[cpp]
shang@shang:~/C$ ./a.out
Please input the Infix expression that you want to change:
a+b*c+(d*e+f)*g
abc*+de*f+g*+

shang@shang:~/C$ ./a.out
Please input the Infix expression that you want to change:
a+b*c+(d*e+f)*g
abc*+de*f+g*+