Write the function of the function to overload the operator * (as a member funct
ID: 3538460 • Letter: W
Question
Write the function of the function to overload the operator * (as a member function) for the class polynimialType to multiply two polynomials. Also write a test program to test these operators
code
#ifndef H_arrayListType
#define H_arrayListType
#include <iostream>
#include <cassert>
using namespace std;
template <class elemType>
class arrayListType
{
public:
const arrayListType<elemType>&
operator=(const arrayListType<elemType>&);
//Overloads the assignment operator
bool isEmpty();
//Function to determine whether the list is empty
//Postcondition: Returns true if the list is empty;
// otherwise, returns false.
bool isFull();
//Function to determine whether the list is full
//Postcondition: Returns true if the list is full;
// otherwise, returns false.
int listSize();
//Function to determine the number of elements in the list
//Postcondition: Returns the value of length.
int maxListSize();
//Function to determine the size of the list
//Postcondition: Returns the value of maxSize.
void print() const;
//Function to output the elements of the list
//Postcondition: Elements of the list are output on the
// standard output device.
bool isItemAtEqual(int location, const elemType& item);
//Function to determine whether the item is the same
//as the item in the list at the position specified by
//Postcondition: Returns true if the list[location]
// is the same as the item; otherwise,
// returns false.
void insertAt(int location, const elemType& insertItem);
//Function to insert an item in the list at the
//position specified by location. The item to be inserted
//is passed as a parameter to the function.
//Postcondition: Starting at location, the elements
// of the list are shifted down,
// list[location] = insertItem;, and
// length++;
// If the list is full or location is out of
// range, an appropriate message is displayed.
void insertEnd(const elemType& insertItem);
//Function to insert an item at the end of the list
//The parameter insertItem specifies the item to be
//inserted.
//Postcondition: list[length] = insertItem; and length++;
// If the list is full, an appropriate
// message is displayed.
void removeAt(int location);
//Function to remove the item from the list at the
//position specified by location
//Postcondition: The list element at list[location] is
// removed and length is decremented by 1.
// If location is out of range, an appropriate message
// is displayed.
void retrieveAt(int location, elemType& retItem);
//Function to retrieve the element from the list at the
//position specified by location
//Postcondition: retItem = list[location]
// If location is out of range, an appropriate
// message is displayed.
void replaceAt(int location, const elemType& repItem);
//Function to replace the elements in the list at the
//position specified by location. The item to be replaced
//is specified by the parameter repItem.
//Postcondition: list[location] = repItem
// If location is out of range, an appropriate
// message is displayed.
void clearList();
//Function to remove all the elements from the list
//After this operation, the size of the list is zero.
//Postcondition: length = 0;
int seqSearch(const elemType& item);
//Function to search the list for a given item.
//Postcondition: If the item is found, returns the location
// in the array where the item is found;
// otherwise, returns -1.
void insert(const elemType& insertItem);
//Function to insert the item specified by the parameter
//insertItem at the end of the list. However, first the
//list is searched to see whether the item to be inserted
//is already in the list.
//Postcondition: list[length] = insertItem and length++
// If the item is already in the list or the list
// is full, an appropriate message is displayed.
void remove(const elemType& removeItem);
//Function to remove an item from the list. The parameter
//removeItem specifies the item to be removed.
//Postcondition: If removeItem is found in the list,
// it is removed from the list and length is
// decremented by one.
arrayListType(int size = 100);
//constructor
//Creates an array of the size specified by the
//parameter size. The default array size is 100.
//Postcondition: The list points to the array, length = 0,
// and maxSize = size
arrayListType(const arrayListType<elemType>& otherList);
//copy constructor
~arrayListType();
//destructor
//Deallocates the memory occupied by the array.
protected:
elemType *list; //array to hold the list elements
int length; //to store the length of the list
int maxSize; //to store the maximum size of the list
};
template <class elemType>
bool arrayListType<elemType>::isEmpty()
{
return (length == 0);
}
template <class elemType>
bool arrayListType<elemType>::isFull()
{
return (length == maxSize);
}
template <class elemType>
int arrayListType<elemType>::listSize()
{
return length;
}
template <class elemType>
int arrayListType<elemType>::maxListSize()
{
return maxSize;
}
template <class elemType>
void arrayListType<elemType>::print() const
{
for(int i = 0; i < length; i++)
cout<<list[i]<<" ";
cout<<endl;
}
template <class elemType>
bool arrayListType<elemType>::isItemAtEqual
(int location, const elemType& item)
{
return(list[location] == item);
}
template <class elemType>
void arrayListType<elemType>::insertAt
(int location, const elemType& insertItem)
{
if(location < 0 || location >= maxSize)
cerr<<"The position of the item to be inserted "
<<"is out of range."<<endl;
else
if(length >= maxSize) //list is full
cerr<<"Cannot insert in a full list."<<endl;
else
{
for(int i = length; i > location; i--)
list[i] = list[i - 1]; //move the elements down
list[location] = insertItem; //insert the item at the
//specified position
length++; //increment the length
}
} //end insertAt
template <class elemType>
void arrayListType<elemType>::insertEnd(const elemType& insertItem)
{
if(length >= maxSize) //the list is full
cerr<<"Cannot insert in a full list."<<endl;
else
{
list[length] = insertItem; //insert the item at the end
length++; //increment length
}
} //end insertEnd
template <class elemType>
void arrayListType<elemType>::removeAt(int location)
{
if(location < 0 || location >= length)
cerr<<"The location of the item to be removed "
<<"is out of range."<<endl;
else
{
for(int i = location; i < length - 1; i++)
list[i] = list[i+1];
length--;
}
} //end removeAt
template <class elemType>
void arrayListType<elemType>::retrieveAt
(int location, elemType& retItem)
{
if(location < 0 || location >= length)
cerr<<"The location of the item to be retrieved is "
<<"out of range."<<endl;
else
retItem = list[location];
} // retrieveAt
template <class elemType>
void arrayListType<elemType>::replaceAt
(int location, const elemType& repItem)
{
if(location < 0 || location >= length)
cerr<<"The location of the item to be replaced is "
<<"out of range."<<endl;
else
list[location] = repItem;
} //end replaceAt
template <class elemType>
void arrayListType<elemType>::clearList()
{
length = 0;
} // end clearList
template <class elemType>
int arrayListType<elemType>::seqSearch(const elemType& item)
{
int loc;
bool found = false;
for(loc = 0; loc < length; loc++)
if(list[loc] == item)
{
found = true;
break;
}
if(found)
return loc;
else
return -1;
} //end seqSearch
template <class elemType>
void arrayListType<elemType>::insert(const elemType& insertItem)
{
int loc;
if(length == 0) //list is empty
list[length++] = insertItem; //insert the item and
//increment the length
else
if(length == maxSize)
cout<<"Cannot insert in a full list."<<endl;
else
{
loc = seqSearch(insertItem);
if(loc == -1) //the item to be inserted
//does not exist in the list
list[length++] = insertItem;
else
cerr<<"the item to be inserted is already in "
<<"the list. No duplicates are allowed."<<endl;
}
} //end insert
template <class elemType>
void arrayListType<elemType>::remove(const elemType& removeItem)
{
int loc;
if(length == 0)
cerr<<"Cannot delete from an empty list."<<endl;
else
{
loc = seqSearch(removeItem);
if(loc != -1)
removeAt(loc);
else
cout<<"The tem to be deleted is not in the list."
<<endl;
}
} //end remove
template <class elemType>
arrayListType<elemType>::arrayListType(int size)
{
if(size < 0)
{
cerr<<"The array size must be positive. Creating "
<<"an array of size 100. "<<endl;
maxSize = 100;
}
else
maxSize = size;
length = 0;
list = new elemType[maxSize];
assert(list != NULL);
}
template <class elemType>
arrayListType<elemType>::~arrayListType()
{
delete [] list;
}
//copy constructor
template <class elemType>
arrayListType<elemType>::arrayListType
(const arrayListType<elemType>& otherList)
{
maxSize = otherList.maxSize;
length = otherList.length;
list = new elemType[maxSize]; //create the array
assert(list != NULL); //terminate if unable to allocate
//memory space
for(int j = 0; j < length; j++) //copy otherList
list [j] = otherList.list[j];
}//end copy constructor
template <class elemType>
const arrayListType<elemType>& arrayListType<elemType>::operator=
(const arrayListType<elemType>& otherList)
{
if(this != &otherList) //avoid self-assignment
{
delete [] list;
maxSize = otherList.maxSize;
length = otherList.length;
list = new elemType[maxSize];
assert(list != NULL);
for(int i = 0; i < length; i++)
list[i] = otherList.list[i];
}
return *this;
}
#endif
#ifndef H_polynomial
#define H_polynomial
#include <iostream>
#include "arrayListType.h"
using namespace std;
class polynomialType: public arrayListType<double>
{
friend ostream& operator<<(ostream&, const polynomialType&);
//overload stream insertion operator
friend istream& operator>>(istream&, polynomialType&);
//overload stream extraction operator
public:
polynomialType operator+(const polynomialType&);
//overload the operator +
polynomialType operator-(const polynomialType&);
//overload the operator -
polynomialType operator*(const polynomialType&);
//overload the operator *
double operator() (double x);
//overload the operator () to evaluate the
//polynomial at a given point
//Postcondition: The value of the plynomial at x
// is calculated and returned
polynomialType(int size = 100);
//constructor
int min(int x, int y);
//Function to return the smaller of x and y
int max(int x, int y);
//Function to return the larger of x and y
};
#endif
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