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144 changes: 144 additions & 0 deletions ExpEvaluation
Original file line number Diff line number Diff line change
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// CPP program to evaluate a given
// expression where tokens are
// separated by space.
#include <bits/stdc++.h>
using namespace std;

// Function to find precedence of
// operators.
int precedence(char op){
if(op == '+'||op == '-')
return 1;
if(op == '*'||op == '/')
return 2;
return 0;
}

// Function to perform arithmetic operations.
int applyOp(int a, int b, char op){
switch(op){
case '+': return a + b;
case '-': return a - b;
case '*': return a * b;
case '/': return a / b;
}
}

// Function that returns value of
// expression after evaluation.
int evaluate(string tokens){
int i;

// stack to store integer values.
stack <int> values;

// stack to store operators.
stack <char> ops;

for(i = 0; i < tokens.length(); i++){

// Current token is a whitespace,
// skip it.
if(tokens[i] == ' ')
continue;

// Current token is an opening
// brace, push it to 'ops'
else if(tokens[i] == '('){
ops.push(tokens[i]);
}

// Current token is a number, push
// it to stack for numbers.
else if(isdigit(tokens[i])){
int val = 0;

// There may be more than one
// digits in number.
while(i < tokens.length() &&
isdigit(tokens[i]))
{
val = (val*10) + (tokens[i]-'0');
i++;
}

values.push(val);
}

// Closing brace encountered, solve
// entire brace.
else if(tokens[i] == ')')
{
while(!ops.empty() && ops.top() != '(')
{
int val2 = values.top();
values.pop();

int val1 = values.top();
values.pop();

char op = ops.top();
ops.pop();

values.push(applyOp(val1, val2, op));
}

// pop opening brace.
ops.pop();
}

// Current token is an operator.
else
{
// While top of 'ops' has same or greater
// precedence to current token, which
// is an operator. Apply operator on top
// of 'ops' to top two elements in values stack.
while(!ops.empty() && precedence(ops.top())
>= precedence(tokens[i])){
int val2 = values.top();
values.pop();

int val1 = values.top();
values.pop();

char op = ops.top();
ops.pop();

values.push(applyOp(val1, val2, op));
}

// Push current token to 'ops'.
ops.push(tokens[i]);
}
}

// Entire expression has been parsed at this
// point, apply remaining ops to remaining
// values.
while(!ops.empty()){
int val2 = values.top();
values.pop();

int val1 = values.top();
values.pop();

char op = ops.top();
ops.pop();

values.push(applyOp(val1, val2, op));
}

// Top of 'values' contains result, return it.
return values.top();
}

int main() {
cout << evaluate("10 + 2 * 6") << "\n";
cout << evaluate("100 * 2 + 12") << "\n";
cout << evaluate("100 * ( 2 + 12 )") << "\n";
cout << evaluate("100 * ( 2 + 12 ) / 14");
return 0;
}

// This code is contributed by Nikhil jindal.