Boolean Expressions
The objective of the program you are going to produce is to evaluate boolean expressions as the one shown next:
Expression: ( V | V ) & F & ( F | V )
where V is for True, and F is for False. The expressions may include the following operators: ! for not , & for and, | for or , the use of parenthesis for operations grouping is also allowed.
To perform the evaluation of an expression, it will be considered the priority of the operators, the not having the highest, and the or the lowest. The program must yield V or F , as the result for each expression in the input file.
输入
The expressions are of a variable length, although will never exceed 100 symbols. Symbols may be separated by any number of spaces or no spaces at all, therefore, the total length of an expression, as a number of characters, is unknown.
The number of expressions in the input file is variable and will never be greater than 20. Each expression is presented in a new line, as shown below.
输出
For each test expression, print "Expression " followed by its sequence number, ": ", and the resulting value of the corresponding test expression. Separate the output for consecutive test expressions with a new line.
Use the same format as that shown in the sample output shown below.
输入样例
( V | V ) & F & ( F| V)
!V | V & V & !F & (F | V ) & (!F | F | !V & V)
(F&F|V|!V&!F&!(F|F&V))
输出样例
Expression 1: F
Expression 2: V
Expression 3: V
实现代码
#include<iostream>
#include<iomanip>
#include<string.h>
#include<cstdio>
#include<cmath>
#include<set>
using namespace std;
void blank(){ //用来去掉空格
char op;
while((op=cin.peek())==' '){
cin.get();
}
return;
}
int factor_value();
int expression_value(){ //与、或的计算
int a=factor_value();
bool more=true;
while(more){
char op=cin.peek(); //察看下一个字符
blank(); //处处会有空格！！！
if(op=='|'||op=='&'){
cin.get();
blank(); //处处会有空格！！！
int b=factor_value();
if(op=='|') a=a|b;
else a=a&b;
}
else{
more=false;
}
}
return a;
}
int factor_value(){
int a;
char op=cin.peek();
blank(); //处处会有空格！！！
if(op=='('){
cin.get();
blank(); //处处会有空格！！！
a=expression_value();
cin.get();
}
else{
if(op=='V'){
cin.get();
a=1;
}
else if(op=='F'){
cin.get();
a=0;
}
else if(op=='!'){
cin.get();
blank(); //处处会有空格！！！
a=1^factor_value();
}
}
blank(); //害怕有空格！！！
return a;
}
int main()
{
for(int i=1;cin.peek()!=EOF;i++){ //不知道何时才会结束的字符
int m=expression_value();
if(m==1){
printf("Expression %d: V\n",i);
}
else if(m==0){
printf("Expression %d: F\n",i);
}
getchar(); //吃掉换行符
}
return 0;
}