I need to implement a stack and this is what I have so far. After that I need to
ID: 3683424 • Letter: I
Question
I need to implement a stack and this is what I have so far.
After that I need to write a program called infixconverter that takes in a string containing an infix expression including (,), +, -, * and the integers and then outputs the postfix expression. I need to use the stack class for this as well.
public Stack(int c)
{
size = c;
stackArray = new long[size];
top = -1;
}
public boolean isEmpty()
{
return (top == -1);
}
public long pop()
{
return stackArray[top--];
}
public long top()
{
return stackArray[top];
}
public void push(long j)
{
stackArray[top++] = j;
}
//You are welcome to add any other private functions.
}
Explanation / Answer
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
// Stack type
struct Stack
{
int top;
unsigned capacity;
int* array;
};
// Stack Operations
struct Stack* createStack( unsigned capacity )
{
struct Stack* stack = (struct Stack*) malloc(sizeof(struct Stack));
if (!stack)
return NULL;
stack->top = -1;
stack->capacity = capacity;
stack->array = (int*) malloc(stack->capacity * sizeof(int));
if (!stack->array)
return NULL;
return stack;
}
int isEmpty(struct Stack* stack)
{
return stack->top == -1 ;
}
char peek(struct Stack* stack)
{
return stack->array[stack->top];
}
char pop(struct Stack* stack)
{
if (!isEmpty(stack))
return stack->array[stack->top--] ;
return '$';
}
void push(struct Stack* stack, char op)
{
stack->array[++stack->top] = op;
}
// A utility function to check if the given character is operand
int isOperand(char ch)
{
return (ch >= 'a' && ch <= 'z') || (ch >= 'A' && ch <= 'Z');
}
// A utility function to return precedence of a given operator
// Higher returned value means higher precedence
int Prec(char ch)
{
switch (ch)
{
case '+':
case '-':
return 1;
case '*':
case '/':
return 2;
case '^':
return 3;
}
return -1;
}
// The main function that converts given infix expression
// to postfix expression.
int infixToPostfix(char* exp)
{
int i, k;
// Create a stack of capacity equal to expression size
struct Stack* stack = createStack(strlen(exp));
if(!stack) // See if stack was created successfully
return -1 ;
for (i = 0, k = -1; exp[i]; ++i)
{
// If the scanned character is an operand, add it to output.
if (isOperand(exp[i]))
exp[++k] = exp[i];
// If the scanned character is an ‘(‘, push it to the stack.
else if (exp[i] == '(')
push(stack, exp[i]);
// If the scanned character is an ‘)’, pop and output from the stack
// until an ‘(‘ is encountered.
else if (exp[i] == ')')
{
while (!isEmpty(stack) && peek(stack) != '(')
exp[++k] = pop(stack);
if (!isEmpty(stack) && peek(stack) != '(')
return -1; // invalid expression
else
pop(stack);
}
else // an operator is encountered
{
while (!isEmpty(stack) && Prec(exp[i]) <= Prec(peek(stack)))
exp[++k] = pop(stack);
push(stack, exp[i]);
}
}
// pop all the operators from the stack
while (!isEmpty(stack))
exp[++k] = pop(stack );
exp[++k] = '';
printf( "%s ", exp );
}
// Driver program to test above functions
int main()
{
char exp[] = "a+b*(c^d-e)^(f+g*h)-i";
infixToPostfix(exp);
return 0;
}