输入一个中缀算术表达式,将其转换为后缀表达式,然后对后缀表达式进行求值。用c语言怎么写
时间: 2023-11-02 18:05:06 浏览: 56
下面是一个用C语言实现将中缀表达式转换为后缀表达式并求值的程序:
```c
#include <stdio.h>
#include <stdlib.h>
#include <ctype.h>
#define MAXSTACK 100
#define EMPTYSTACK -1
#define EOS '\0'
typedef enum { false, true } bool;
int stack[MAXSTACK];
int top = EMPTYSTACK;
void push(int token) {
if (top >= MAXSTACK - 1) {
fprintf(stderr, "Stack overflow\n");
exit(EXIT_FAILURE);
} else {
top++;
stack[top] = token;
}
}
int pop() {
if (top == EMPTYSTACK) {
fprintf(stderr, "Stack underflow\n");
exit(EXIT_FAILURE);
} else {
return stack[top--];
}
}
int precedence(char operator) {
switch (operator) {
case '(':
return 0;
case '+':
case '-':
return 1;
case '*':
case '/':
return 2;
default:
return -1;
}
}
void convert(char infix[], char postfix[]) {
int i = 0, j = 0, token;
char symbol;
for (i = 0; infix[i] != EOS; i++) {
symbol = infix[i];
if (isdigit(symbol)) {
postfix[j++] = symbol;
} else if (symbol == '(') {
push(symbol);
} else if (symbol == ')') {
while ((token = pop()) != '(') {
postfix[j++] = token;
}
} else {
while (precedence(symbol) <= precedence(stack[top]) && top != EMPTYSTACK) {
token = pop();
postfix[j++] = token;
}
push(symbol);
}
}
while (top != EMPTYSTACK) {
token = pop();
postfix[j++] = token;
}
postfix[j] = EOS;
}
int evaluate(char postfix[]) {
int i = 0, op1, op2, token;
char symbol;
for (i = 0; postfix[i] != EOS; i++) {
symbol = postfix[i];
if (isdigit(symbol)) {
push(symbol - '0');
} else {
op2 = pop();
op1 = pop();
switch (symbol) {
case '+':
token = op1 + op2;
break;
case '-':
token = op1 - op2;
break;
case '*':
token = op1 * op2;
break;
case '/':
token = op1 / op2;
break;
default:
fprintf(stderr, "Invalid operator\n");
exit(EXIT_FAILURE);
}
push(token);
}
}
token = pop();
if (top != EMPTYSTACK) {
fprintf(stderr, "Stack not empty\n");
exit(EXIT_FAILURE);
}
return token;
}
int main() {
char infix[MAXSTACK], postfix[MAXSTACK];
printf("Enter an infix expression: ");
fgets(infix, MAXSTACK, stdin);
convert(infix, postfix);
printf("Postfix expression: %s\n", postfix);
printf("Result: %d\n", evaluate(postfix));
return 0;
}
```
程序中的`convert()`函数将中缀表达式转换为后缀表达式,`evaluate()`函数对后缀表达式进行求值。在`main()`函数中,读入一个中缀表达式,将其转换为后缀表达式并输出,然后对后缀表达式进行求值并输出结果。