点击这里
优质
小牛编辑
136浏览
2023-12-01
Infix符号对于人类来说更容易阅读和理解,而对于像计算机这样的电子机器,postfix是解析的最佳表达形式。 我们将在这里看到一个程序,用于将中infix符号转换和评估为postfix表示法 -
例子 (Example)
#include<stdio.h>
#include<string.h>
//char stack
char stack[25];
int top = -1;
void push(char item) {
stack[++top] = item;
}
char pop() {
return stack[top--];
}
//returns precedence of operators
int precedence(char symbol) {
switch(symbol) {
case '+':
case '-':
return 2;
break;
case '*':
case '/':
return 3;
break;
case '^':
return 4;
break;
case '(':
case ')':
case '#':
return 1;
break;
}
}
//check whether the symbol is operator?
int isOperator(char symbol) {
switch(symbol) {
case '+':
case '-':
case '*':
case '/':
case '^':
case '(':
case ')':
return 1;
break;
default:
return 0;
}
}
//converts infix expression to postfix
void convert(char infix[],char postfix[]) {
int i,symbol,j = 0;
stack[++top] = '#';
for(i = 0;i<strlen(infix);i++) {
symbol = infix[i];
if(isOperator(symbol) == 0) {
postfix[j] = symbol;
j++;
} else {
if(symbol == '(') {
push(symbol);
} else {
if(symbol == ')') {
while(stack[top] != '(') {
postfix[j] = pop();
j++;
}
pop(); //pop out (.
} else {
if(precedence(symbol)>precedence(stack[top])) {
push(symbol);
} else {
while(precedence(symbol)<=precedence(stack[top])) {
postfix[j] = pop();
j++;
}
push(symbol);
}
}
}
}
}
while(stack[top] != '#') {
postfix[j] = pop();
j++;
}
postfix[j]='\0'; //null terminate string.
}
//int stack
int stack_int[25];
int top_int = -1;
void push_int(int item) {
stack_int[++top_int] = item;
}
char pop_int() {
return stack_int[top_int--];
}
//evaluates postfix expression
int evaluate(char *postfix){
char ch;
int i = 0,operand1,operand2;
while( (ch = postfix[i++]) != '\0') {
if(isdigit(ch)) {
push_int(ch-'0'); // Push the operand
} else {
//Operator,pop two operands
operand2 = pop_int();
operand1 = pop_int();
switch(ch) {
case '+':
push_int(operand1+operand2);
break;
case '-':
push_int(operand1-operand2);
break;
case '*':
push_int(operand1*operand2);
break;
case '/':
push_int(operand1/operand2);
break;
}
}
}
return stack_int[top_int];
}
void main() {
char infix[25] = "1*(2+3)",postfix[25];
convert(infix,postfix);
printf("Infix expression is: %s\n" , infix);
printf("Postfix expression is: %s\n" , postfix);
printf("Evaluated expression is: %d\n" , evaluate(postfix));
}
如果我们编译并运行上面的程序,它将产生以下结果 -
输出 (Output)
Infix expression is: 1*(2+3)
Postfix expression is: 123+*
Result is: 5