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#include <iostream>
#include <string>
#include <cmath>
using namespace std;
const int MAX = 12; // The MAX number of elements for the stack
// MAX is unknown to the client
typedef int el_t; // the el_t type is ** for now
// el_t is unknown to the client
class stack
{
private: // to be hidden from the client
el_t el[MAX]; // el is an array of el_t's
int top; // top is index to the top of stack
public: // prototypes to be used by the client
// exception handling classes
class Overflow{};
class Underflow{};
stack(); // constructor
~stack(); // destructor
// pass the element to be pushed
// PURPOSE: if not full, enters an element at the top;
// otherwise throws an exception - Overflow
void push(el_t);
// provide variable to receive the popped element
// PURPOSE: if not empty, removes and gives back the top element;
// otherwise throws an exception - Underflow
void pop(el_t&);
// provide variable to receive the top element
// PURPOSE: if not empty, gives the top element without removing it;
// otherwise, throws an exception - Underflow
void topElem(el_t&);
// if array is empty returns true, otherwise it returns false
bool isEmpty();
// if array is full returns true, otherwise it returns false
bool isFull();
// prints all the elements of the array, otherwise throws an exception - Underflow
void displayAll();
// removes all the elements from the array, otherwise throws an exception - underflow
void clearIt();
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// The default constructor initializes top to -1
stack::stack()
{
top = -1; // indicates stack is empty
}
// Since this is a static array the destructor doesn't do anything
stack::~stack()
{
} // nothing }
// isEmpty checks to see if top is equal to -1, if true function returns true,
// otherwise isEmpty returns false since top would not be equal to -1
bool stack::isEmpty()
{ if (top == -1) return true; else return false; }
// isFull checks to see if the array is full by checking to see if top is equal to array size - 1,
// if true the function returns true, otherwise isFule returns false since the array would not be full
bool stack::isFull()
{ if (top == MAX-1 ) return true; else return false; }
// push checks to see if the array is full using isFull function, if isFull returns true,
// push throw exception Overflow, otherwise push adds the element passed to the array
void stack::push(el_t elem)
{ if (isFull())
throw Overflow();
else { top++; el[top] = elem; }}
// pop makes sure the array isn't empty using the isEmpty function, if isEmpty return true,
// push throws exception Underflow, otherwise pop passes back top element and removes it from stack
void stack::pop(el_t& elem)
{ if (isEmpty())
throw Underflow();
else { elem = el[top]; top--;}}
// topElem makes sure array isn't empty using the isEmpty function, if isEmpty reutrns true,
// topElem throws exception Underflow, otherwise topElem passes back top element on the stack
void stack::topElem(el_t& elem)
{ if (isEmpty())
throw Underflow();
else { elem = el[top]; } }
// dislayAll calls isEmpty and if true, displays [ empty ].
// Otherwise, diplays the elements vertically.
void stack::displayAll()
{ if (isEmpty()) cout << ".[ empty ]." << endl;
else for (int i=top; i>=0; i--)
{ cout << el[i] << endl; }}
// clearIt makes sure array isn't empty using the isEmpty function, if isEmpty returns true,
// clearIt throws exception Underflow, otherwise clearIt uses the pop function to remove all
// elements from the stack.
void stack::clearIt()
{
if(isEmpty())
throw Underflow();
else
{
el_t fill;
while(top != -1) // while loop runs until the stack is empty, calls pop each time to remove element from stack
{ // and decrements top
pop(fill);
top--;
}
}
}
//////////////////////////////////////////////////////////////////////////////////////////////////////////////////
int main()
{
int i = 0; //counter for while loop
int number; //holds number to push onto stack
int box1; //holds first operand
int box2; //holds second operand
int result; //holds result of operation done on box 1 and 2
stack mystack;
string input; //holds user input
cout<<"Enter Postfix expression: "<<endl;
cin>>input;
while(input[i]!='\0') //continue until end of string
{
try
{
//if only 1 character was entered throw exception
if(input.size()==1)
throw "Not Enough Values Entered";
//if character is 0 through 9
if((input[i]>=48) && (input[i]<=57))
{
number = (input[i]-48); //convert char to an int
mystack.push(number); //push int onto stack
i++;
}
else if((input[i]=='*') || (input[i]=='+') || (input[i]=='-'))
{
//if stack isn't empty pop operand into box1, else throw exception
if(mystack.isEmpty()!=true)
mystack.pop(box1);
else
throw "Too few Operands";
//if stack isn't empty pop operand into box2, else throw exception
if(mystack.isEmpty()!=true)
mystack.pop(box2);
else
throw "Too few Operands";
//if operator +, add operands and store in result
if(input[i] == '+')
result = box1 + box2;
//if operator -, subtract box2 from box1 and store in result
else if(input[i] == '-')
result = box2 - box1;
//if operator *, multiply operands and store in result
else if(input[i] == '*')
result = box1 * box2;
mystack.push(result);//push result onto the stack
i++;
}
else
{
throw "Entered an invalid Character";
}
}
catch(stack::Overflow)
{
cerr<<"ERROR: There were Too Many Characters Entered"<<endl; exit(1);
}
catch(stack::Underflow)
{
}
catch(char const* errorString)
{
cerr<<"ERROR: "<<errorString<<endl; exit(1);
}
}
mystack.pop(result); //pop final result
//if the stack contains more than one value throw exception
try
{
if(mystack.isEmpty()!=true)
throw "Found Incomplete Expression";
}
catch(char const* errorString2)
{
cerr<<"ERROR: "<<errorString2<<endl; exit(1);
}
cout<<"answer is: "<<result<<endl; //show final result
return 0;
}
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