Write a program in C++ 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 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 )
Write a
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 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 )
HINT: Allow negative numbers in the expression.
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