Write a program that uses stacks to evaluate an arithmetic expression in infix notation without converting it into postfix notation.
The program takes as input a numeric expression in infix notation, such as 3+4*2, and outputs the result.
1) Operators are +, -, *, /
2) Assume that the expression is formed correctly so that each operation has two arguments.
3) The expression
can
have parenthesis, for example: 3*(4-2)+6.
4) The expression
can
have negative numbers.
5) The expression
can
have spaces in it, for example: 3 * (4-2) +6 .
Here are some useful functions that you
may
need:
char cin.peek(); -- returns the next character of the cin input stream ( without reading it)
bool isdigit(char c); -- returns true if c is one of the digits ‘0’ through ‘9’, false otherwise
cin.ignore(); -- reads and discards the next character from the cin input stream
cin.get(char &c); -- reads a character in c ( could be a space or the new line )