Question

Using Visual Studio, design, implement, and test an object class for a Cartesian 3-dimensional vector. Your class MUST be declared in a header (h) file, and methods implemented in a C++ (.cpp) file The origin of your vector by default is the point, (0, 0, 0) You must implement the OCF. You may implement as many preferred ctors as makes sense. You must be able to calculate and return the scalar magnitude of your vector in a public method. Your class must be able to calculate the resulting vector when another vector is added. Overload the 'operator to accomplish this. Your class must be able to calculate the resulting vector when another vector is subtracted. Overload the operator to accomplish this. Develop and run a few test harness scripts to make sure your object works as expected.

OCF (Orthodox Canonical Form)

Answer 1

Header File:

#pragma once
#include<math.h>
class ThreeDVector
{
public:
   ThreeDVector(void);
   ~ThreeDVector(void);
   double magnitude();
   ThreeDVector operator+ (ThreeDVector);
   ThreeDVector operator- (ThreeDVector);

   int x, y, z;
};

CPP file:

#include "ThreeDVector.h"

/* Standard constructor
* Initializes values to zeros
*/
ThreeDVector::ThreeDVector(void) {
   x = 0;
   y = 0;
   z = 0;
}

ThreeDVector::~ThreeDVector(void) {
}

/* mganitude for 3 dimensional vector
* function calculates scallar magnitude of vector
*/
double ThreeDVector::magnitude() {
   return sqrt(double(x*x+y*y+z*z));
}

/* + operator overloaded for 3 dimensional vectors
* it adds one vector to another
*/
ThreeDVector ThreeDVector::operator+ (ThreeDVector v) {
   ThreeDVector sum;
   sum.x = x + v.x;
   sum.y = y + v.y;
   sum.z = z + v.z;
   return sum;
}

/* - operator overloaded for 3 dimensional vectors
* it subtracts one vector to another
*/
ThreeDVector ThreeDVector::operator- (ThreeDVector v) {
   ThreeDVector sum;
   sum.x = x - v.x;
   sum.y = y - v.y;
   sum.z = z - v.z;
   return sum;
}

Tester code:

#include <iostream>
#include <string>
#include "ThreeDVector.h"
using namespace std;

int main() {
   ThreeDVector a, b, c;
   cout << "Enter first vector ";
   cin >> a.x >> a.y >> a.z;
   cout << "Enter second vector ";
   cin >> b.x >> b.y >> b.z;

   cout << "Magnitude of first vector is " << a.magnitude() << endl;
   cout << "Magnitude of second vector is " << b.magnitude() << endl;

   c = a + b;
   cout <<"Sum is "<< c.x << " " << c.y << " " << c.z << endl;
   c = a - b;
   cout <<"Difference is "<< c.x << " " << c.y << " " << c.z << endl;

   system("pause");
}

Output:

Enter first vector 1 -2 e Enter second vector 4 3 -6 IMagnitude of first vector is 2.23607 Magnitude of second vector is 7.81025 Sum is 5 1 -6 Difference is -3 -5 6 Press any key to continue

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