# SOLUTION C Lab Postfix Evaluator

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## Description

Write a program that evaluates a postfix expression (assume itâ€™s valid) such as
6 2 + 5 * 8 4 / –
The program should read a postfix expression consisting of single digits and operators into a character array. Using stack functions, the program should scan the expression and evaluate it.
The algorithm is as follows:
1) Append the null character (‘\0’) to the end of the postfix expression. When the null character is encountered, no further processing is necessary.
2) While ‘\0’ has not been encountered, read the expression from left to right.
If the current character is a digit, Push its integer value onto the stack (the integer value of a digit character is its value in the computerâ€™s character set minus the value of ‘0’ in the computerâ€™s character set).
Otherwise, if the current character is an operator,
Pop the two top elements of the stack into variables x and y.
Calculate y operator x.
Push the result of the calculation onto the stack.
3) When the null character is encountered in the expression, pop the top value of the stack. This is the result of the postfix expression.
[Note: In 2) above, if the operator is ‘/’, the top of the stack is 2, and the next element in the stack is 8, then pop 2 into x, pop 8 into y, evaluate 8 / 2, and push the result, 4, back on the stack. This note also applies to operator ‘-‘.]
The arithmetic operations allowed in an expression are:
– subtraction
* multiplication
/ division
^ exponentiation
% remainder
The stack should be maintained with the following declarations:
struct stackNode {
int data;
struct stackNode *nextPtr;
};
typedef struct stackNode StackNode;
typedef StackNode *StackNodePtr;
The program should consist of main and six other functions with the following function
int evaluatePostfixExpression( char *expr )
Evaluate the postfix expression.
int calculate( int op1, int op2, char operator )
Evaluate the expression op1 operator op2.
void push( StackNodePtr *topPtr, int value )
Push a value on the stack.
int pop( StackNodePtr *topPtr )
Pop a value off the stack.
int isEmpty( StackNodePtr topPtr )
Determine if the stack is empty.
void printStack( StackNodePtr topPtr )
Print the stack.
The program should be able to give the following output:
Enter a postfix expression:
123*456^/7*-8*+
1 NULL
2 1 NULL
3 2 1 NULL
2 1 NULL
1 NULL
6 1 NULL
4 6 1 NULL
5 4 6 1 NULL
6 5 4 6 1 NULL
5 4 6 1 NULL
4 6 1 NULL
15625 4 6 1 NULL
4 6 1 NULL
6 1 NULL
0 6 1 NULL
7 0 6 1 NULL
0 6 1 NULL
6 1 NULL
0 6 1 NULL
6 1 NULL
1 NULL
6 1 NULL
8 6 1 NULL
6 1 NULL
1 NULL
48 1 NULL
1 NULL
NULL
49 NULL
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