Implement an abstract parent Shape class and its polymorphic children Circle, Rectangle, and Triangle.

Question

Your objective for this project is to implement an abstract parent Shape class and its polymorphic children Circle, Rectangle, and Triangle. Shape is a 2D character array which requires the use of dynamic memory allocation, and its children are their eponymous shapes held character-by-character within that 2D array. Additionally, each shape is represented by its perimeter populated by ASCII characters within the range [48, 126] in order, and character choice from this range wraps around back to 48 when 127 is reached. In order to successfully complete this project, you must understand the prerequisite material from the previous projects, and you must understand the concepts of 2D arrays, abstract classes, polymorphism, and basic shape manipulations.

Task 1

Define and implement the abstract class Shape, which contains the following methods:

// Parameterized Constructor; there is no default constructor

Shape(const int &width, const int &height);

// Getters

int getEdges();

int getWidth();

int getHeight();

char **getDisplayChars();

// Setters

void setEdges(const int& edges);

void setWidth(const int& new_width);

void setHeight(const int &new_height);

void setDisplayChars(char **display);

// Mutators

void rotateRight(); //rotate by 90 degrees

void rotateLeft(); //rotate by 90 degrees

void reflect(char axis); //reflect over x or y axis

// Pure Virtual Methods (no implementation)

virtual double getSurfaceArea() = 0;

virtual double get3DVolume(const double& depth) = 0;

// Display - //iterate through 2D array and print chars

void display();

Note:

1. reflect() takes the parameter 'x' or 'y'.
2. getSurfaceArea() uses the canonical formulae for surface area given each respective shape.
3. get3DVolume() yields the volume of the caller shape if it was projected into 3 dimensions using the depth parameter as the z-axis value. For a circle, this function yields the volume of the related sphere. For a rectangle, this function yields the volume of the related rectangular cuboid. For a triangle, this function yields the volume of the related right triangular prism, since Triangle only considers right triangles. Use the canonical formulae for volume given each respective surface.

Answer 1

/************************************************

ISSUES:

(1)

What is the purpose of the 2D array of characters?

Why do you need the characters from 48-128?

This is VERY UNCLEAR!!

If it is for graphical purposes, you must specify

the dimensions of the 2-D array, and how many blocks

are in each of the 4 quadrants of the graph.

How are the edges represented? Are they ordered pairs

of co-ordinates?

A graphical package would be better than the 2-D array

2-D array is returned by function, which is a memory leak...

NEVER return the original address. Always return a COPY.

(2) Cannot have length and width dimensions in the

base class as circle, triangle do not use them

**************************************************************/

using namespace std;

#include

#include

class Shape

{

public:

virtual double GetArea()=0;

virtual double GetVolume()=0;

virtual double GetPerimeter()=0;

};

class Rectangle

{

protected:

double length;

double width;

public:

Rectangle( double l, double w)

{

length=l; width=w;

}

double GetArea() { return(length*width); }

double GetPerimeter() { return(2*length+2*width); }

void SetLength(double l) { length=l; }

void SetWidth(double w) { width = w; }

double GetLength() { return(length); }

double GetWidth() { return(width); }

};

class Triangle

{

protected:

double leg1;

double leg2;

double hypotenuse;

public :

Triangle() { leg1=leg2=hypotenuse=-1; }

Triangle( double a, double b) { leg1=a; leg2=b; }

double GetLeg1() { return(leg1); }

double GetLeg2() { return(leg2); }

double GetHypotenuse() { return(hypotenuse); }

void SetLeg1( double x) { leg1 = x; Pythagorean(); }

void SetLeg2(double x) { leg2 = x; Pythagorean(); }

void Pythagorean() { hypotenuse = sqrt( leg1*leg1 + leg2*leg2); }

double GetArea() { return( leg1 * leg2 / 2); }

double GetPerimeter() { return(leg1+leg2+hypotenuse); }

};

class Circle

{

protected:

double radius;

public:

Circle( double r) { radius = r; }

double GetPerimeter() { return(2*M_PI * radius); }

double GetArea() { return(M_PI * radius*radius); }

void SetRadius(double r) { radius = r; }

double GetRadius() { return(radius); }

};

class Trapezoid

{

protected:

double top;

double bottom;

double height;

public:

Trapezoid(double t, double b, double h) { top=t; bottom= b; height=h; }

GetArea() { return(height/2 * (top + bottom)); }

GetPerimeter()

{

double t = (bottom-top)/2;

double slant = sqrt( t*t + height*height);

return(slant*2+top+bottom);

}

};

class Box : public Rectangle

{

protected:

double depth;

public:

Box(double l, double w, double d) : Rectangle(l,w)

{

depth=d;

}

double GetVolume() { return(length*width*depth); }

};

class Ball : public Circle

{

public:

Ball (double r) : Circle(r) { }

double GetVolume()

{

return (4 * M_PI/3 * radius*radius*radius);

}

};

int main()

{

Box box(10,5,4);

cout << box.GetVolume() << endl;

Ball ball(10);

cout << ball.GetVolume();

}