Question

In: Computer Science

Write the definition for a generic class called Rectangle that has data members length and width....

  1. Write the definition for a generic class called Rectangle that has data members length and width. The class has the following member functions:
    setlength to set the length data member
    setwidth to set the width data member
    perimeter to calculate and return the perimeter of the rectangle
    area to calculate and return the area of the rectangle
    show to return a text to display the length and width of the rectangle
    sameArea that has one parameter of type Rectangle. sameArea returns 1 if the two Rectangles have the same area, and returns 0 if they don't.

Overload the following operators: -

Operators

Description

- (unary)

Length and width will change sign

+

Add bother areas and then find the ratio of the first Rectangle to find the new values of the length and the width

-

Subtract second area from first area and then find the ratio of the first Rectangle to find the new values of the length and the width

*

Multiply first area by second area and then find the ratio of the first Rectangle to find the new values of the length and the width

/

Divide first area by second area and then find the ratio of the first Rectangle to find the new values of the length and the width

<

Compare the areas

>

Compare the areas

<=

Compare the areas

>=

Compare the areas

==

Compare the areas

!=

Compare the areas

=

Assign the length and width to the first Rectangle

+=

Same as + operator and assign the result to the first Rectangle

-=

Same as - operator and assign the result to the first Rectangle

*=

Same as * operator and assign the result to the first Rectangle

/=

Same as / operator and assign the result to the first Rectangle

Solutions

Expert Solution

// C++ program to create the class Rectangle

#include <iostream>

#include <cmath>

using namespace std;

const double EPSILON = 1e-5; // used for comparison

template <class T>

class Rectangle

{

private :

       T length, width;

public:

       void setLength(T length);

       void setWidth(T width);

       T perimeter() const;

       T area() const;

       void show() const;

       bool sameArea(const Rectangle<T> &other) const;

       void operator-();

       Rectangle<T>& operator+(const Rectangle<T> &other);

       Rectangle<T>& operator-(const Rectangle<T> &other);

       Rectangle<T>& operator*(const Rectangle<T> &other);

       Rectangle<T>& operator/(const Rectangle<T> &other);

       bool operator<(const Rectangle<T> &other) const;

       bool operator>(const Rectangle<T> &other) const;

       bool operator<=(const Rectangle<T> &other) const;

       bool operator>=(const Rectangle<T> &other) const;

       bool operator==(const Rectangle<T> &other) const;

       bool operator!=(const Rectangle<T> &other) const;

       void operator=(const Rectangle<T> &other);

       void operator+=(const Rectangle<T> &other);

       void operator-=(const Rectangle<T> &other);

       void operator*=(const Rectangle<T> &other);

       void operator/=(const Rectangle<T> &other);

};

// function to set the length of rectangle

template <class T>

void Rectangle<T>:: setLength(T length)

{

       this->length = length;

}

// function to set the width of rectangle

template <class T>

void Rectangle<T>::setWidth(T width)

{

       this->width = width;

}

// function to return the perimeter of rectangle

template <class T>

T Rectangle<T>::perimeter() const

{

       return(length+width);

}

// function to return the area of rectangle

template <class T>

T Rectangle<T>::area() const

{

       return(length*width);

}

// function to display the length and width of rectangle

template <class T>

void Rectangle<T>:: show() const

{

       cout<<"Rectangle of length : "<<length<<" and width : "<<width<<endl;

}

// function to return if the two rectangles have same area

template <class T>

bool Rectangle<T>::sameArea(const Rectangle<T> &other) const

{

       return(fabs(area()-other.area()) < EPSILON);

}

// function to decrement the length and width of the rectangle by 1

template <class T>

void Rectangle<T>::operator-()

{

       length = -1*length;

       width = -1*width;

}

// function to add both areas and then find the ratio of the first Rectangle to find the new values of the length and the width

template <class T>

Rectangle<T>& Rectangle<T>::operator+(const Rectangle<T> &other)

{

       Rectangle<T> *result = new Rectangle<T>();

       T req_area = area()+other.area();

       T ratio = area()/req_area;

       result->length = result->length*ratio;

       result->width = result->width*ratio;

       return result;

}

// function to subtract both the second area from the first and then find the ratio of the first Rectangle to find the new values of the length and the width

template <class T>

Rectangle<T>& Rectangle<T>::operator-(const Rectangle<T> &other)

{

       Rectangle<T> *result = new Rectangle<T>();

       T req_area = fabs(area()-other.area());

       T ratio = area()/req_area;

       result->length = result->length*ratio;

       result->width = result->width*ratio;

       return result;

}

// function to multiply both areas and then find the ratio of the first Rectangle to find the new values of the length and the width

template <class T>

Rectangle<T>& Rectangle<T>::operator*(const Rectangle<T> &other)

{

       Rectangle<T> *result = new Rectangle<T>();

       T req_area = area()*other.area();

       T ratio = area()/req_area;

       result->length = result->length*ratio;

       result->width = result->width*ratio;

       return result;

}

// function to divide the first area by the second and then find the ratio of the first Rectangle to find the new values of the length and the width

template <class T>

Rectangle<T>& Rectangle<T>::operator/(const Rectangle<T> &other)

{

       Rectangle<T> *result = new Rectangle<T>();

       T req_area = area()/other.area();

       T ratio = area()/req_area;

       result->length = result->length*ratio;

       result->width = result->width*ratio;

       return result;

}

// function to return if first rectangle is less in area than second rectangle

template <class T>

bool Rectangle<T>::operator<(const Rectangle<T> &other) const

{

       return((fabs(area()-other.area()) >= EPSILON) && (area() < other.area()));

}

// function to return if first rectangle is greater in area than second rectangle

template <class T>

bool Rectangle<T>:: operator>(const Rectangle<T> &other) const

{

       return((fabs(area()-other.area()) >= EPSILON) && (area() > other.area()));

}

// function to return if first rectangle is less than or equal in area than second rectangle

template <class T>

bool Rectangle<T>::operator<=(const Rectangle<T> &other) const

{

       return((fabs(area()-other.area()) >= EPSILON) && (area() <= other.area()));

}

// function to return if first rectangle is greater than or equal in area than second rectangle

template <class T>

bool Rectangle<T>:: operator>=(const Rectangle<T> &other) const

{

       return((fabs(area()-other.area()) >= EPSILON) && (area() >= other.area()));

}

// function to return if first rectangle is equal in area to second rectangle

template <class T>

bool Rectangle<T>::operator==(const Rectangle<T> &other) const

{

       return(sameArea(other));

}

// function to return if first rectangle is not equal in area to second rectangle

template <class T>

bool Rectangle<T>::operator!=(const Rectangle<T> &other) const

{

       return(!sameArea(other));

}

// function to assign the length and width of second area to first

template <class T>

void Rectangle<T>::operator=(const Rectangle<T> &other)

{

       if(this != &other) // avoid self assignment

       {

             this->length = other.length;

             this->width = other.width;

       }

}

// function same as + operator and assign the result to the first Rectangle

template <class T>

void Rectangle<T>::operator+=(const Rectangle<T> &other)

{

       T req_area = area()+other.area();

       T ratio = area()/req_area;

       length = length*ratio;

       width = width*ratio;

}

// function same as - operator and assign the result to the first Rectangle

template <class T>

void Rectangle<T>::operator-=(const Rectangle<T> &other)

{

       T req_area = fabs(area()-other.area());

       T ratio = area()/req_area;

       length = length*ratio;

       width = width*ratio;

}

// function same as * operator and assign the result to the first Rectangle

template <class T>

void Rectangle<T>::operator*=(const Rectangle<T> &other)

{

       T req_area = area()*other.area();

       T ratio = area()/req_area;

       length = length*ratio;

       width = width*ratio;

}

// function same as / operator and assign the result to the first Rectangle

template <class T>

void Rectangle<T>::operator/=(const Rectangle<T> &other)

{

       T req_area = area()/other.area();

       T ratio = area()/req_area;

       length = length*ratio;

       width = width*ratio;

}

//end of rectangle class

venereology answered 10 months ago
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