The first project manipulates three-dimensional vectors, I used classes, data validation, and pointers.

The second project is a little bit more complicated, it's about overloading operators, it can add, subtract, multiply and divide fractions. I used the "abs" function (stdlib.h) to calculate the smallest common denominator for the fractions, the rest is typical.

The third project handles two-dimensional and three-dimensional matrices. It's a little bit more complicated, I think it's a very good pointers practice. I also added a show help function that can be called externally using "-h".

I have organised the programs as recommended by mister wlodarczyk, which i would like to thank for this amazing course.

3Dvectors

MAIN.CPP

#include
#include "Vector3D.h"
using namespace std;

int main()
{
cout Vector3D V1;
Vector3D V2;
cout coutV1.GetVector();
coutcoutcoutV2.GetVector();
coutcoutSumVectors(V1.GetVector(),V2.GetVector());
coutcoutNormMax(V1.GetVector(),V2.GetVector());

return 0;
}

VECTOR3D.H

#ifndef VECTOR3D_H_INCLUDED
#define VECTOR3D_H_INCLUDED
class Vector3D //Declaration of class.
{
private:
float x,y,z;
float p[3];
float q[3];

public:
Vector3D();
float * SetVector();//A function that takes the 3 coordinates from the console, it returns the address &p[0] and the vector.
float * GetVector();//A function that saves the input given by the console.
~Vector3D();
};

void SumVectors(float *,float *);//A function that returns the sum of two vectors, it is not a class function.
float ScalarProd(float *,float *);//A function that returns the scalar product of the two vectors.
void NormMax(float *,float *);//A function that calculates the norm of the two vectors and displays the vector with the highest norm.

#endif // VECTOR3D_H_INCLUDED

VECTOR3D.CPP

#include
#include "Vector3D.h"
#include
#include

using namespace std;

Vector3D::Vector3D()
{
cout x=0;y=0;z=0;
cout}

float * Vector3D::SetVector()
{
while(!(cin>>x) || !(cin>>y) || !(cin>>z))
{
cin.clear();
cin.ignore(numeric_limits::max(), '\n');
cout }
this->p[0]=x;
this->p[1]=y;
this->p[2]=z;
coutreturn p;
}

float* Vector3D::GetVector()
{
this->q[0]=x;
this->q[1]=y;
this->q[2]=z;
return q;

}

void SumVectors(float *p,float *q)
{
cout}

float ScalarProd(float*p,float*q)
{
return p[0]*q[0]+p[1]*q[1]+p[2]*q[2];
}

void NormMax(float *p,float *q)
{
double a,b;
a=sqrt(p[0]*p[0]+p[1]*p[1]+p[2]*p[2]);
b=sqrt(q[0]*q[0]+q[1]*q[1]+q[2]*q[2]);
if(a>b)
coutelse
cout}

Vector3D::~Vector3D()
{
cout }

Fraction

MAIN.CPP

#include
#include "Fraction.h"
#include

using namespace std;

int main()
{
Fraction f1(-1,5);
Fraction f2(1,4);
Fraction f3(1,7);
Fraction f4(5,2);

f1.getFraction();
f2.getFraction();
cout(f1*f2).getFraction();
(f1+f2).getFraction();
(f1-f2).getFraction();
(f1/f2).getFraction();
cout(f1+f2-f3*f4).getFraction();

return 0;
}

FRACTION.H

#ifndef FRACTION_H_INCLUDED
#define FRACTION_H_INCLUDED

using namespace std;

class Fraction
{
int num,den;

public:

Fraction(int,int);//A constructor that defines the fractions.
~Fraction();// A destructor.
void getFraction();
int SCM(int,int);// A function that returns the smallest common multiple of two numbers.
Fraction operator*(Fraction);// Overloading the operator *.
Fraction operator+(Fraction);// Overloading the operator +.
Fraction operator-(Fraction);// Overloading the operator -.
Fraction operator/(Fraction);// Overloading the operator /.
};

#endif // FRACTION_H_INCLUDED

FRACTION.CPP

#include "Fraction.h"
#include
#include

using namespace std;

Fraction::Fraction(int num,int den)
{
this->num=num;
try
{
if(den==0)
throw den;

else
this->den=den;
}
catch(int e)
{
cout}
}

Fraction::~Fraction()
{

}
void Fraction::getFraction()
{
cout}
int Fraction::SCM(int a,int b)
{
for(int j=1;j{
for(int i=1;i{
if(min(abs(a),abs(b))*i==max(abs(a),abs(b))*j)
return min(abs(a),abs(b))*i;
}
}

}

Fraction Fraction::operator*(Fraction f)
{
Fraction tmp(this->num*f.num,this->den*f.den);
return tmp;
}

Fraction Fraction::operator+(Fraction f)
{
Fraction tmp(this->num*SCM(this->den,f.den)/this->den+f.num*SCM(this->den,f.den)/f.den,SCM(this->den,f.den));
return tmp;
}

Fraction Fraction::operator-(Fraction f)
{
Fraction tmp(this->num*SCM(this->den,f.den)/this->den-f.num*SCM(this->den,f.den)/f.den,SCM(this->den,f.den));
return tmp;
}
Fraction Fraction::operator/(Fraction f)
{
Fraction tmp(this->num*f.den,this->den*f.num);
return tmp;
}

Matrix

MAIN.CPP

#include "Matrix.h"

using namespace std;
void showHelp();

int main(int argc,char*argv[])
{
unsigned short listChoice;
char repeat;
do{
system("cls");
for(short i=0;i {
if(strcmp(argv[i],"-h")==0 && i==1)
showHelp();
}
coutcout

Matrix2by2 M1,M2,M3;
Matrix3by3 N1,N2,N3;
while(!(cin>>listChoice))
{
cin.clear();
cin.ignore(numeric_limits::max(), '\n');
cout}
switch(listChoice)
{
case 1:
M1.setMatrix();
M2=M1.invertMatrix();
M2.getMatrix();
break;

case 2:
M1.setMatrix();
M2.setMatrix();
cout (M1+M2).getMatrix();
cout (M1*M2).getMatrix();
break;

case 3:
N1.setMatrix();
N2=N1.invertMatrix();
N2.getMatrix();
break;

case 4:
N1.setMatrix();
N2.setMatrix();
cout (N1+N2).getMatrix();
cout (N1*N2).getMatrix();
break;

default:
cout break;
}
coutcin>>repeat;
}while(repeat=='c' || repeat=='C');

return 0;
}

void showHelp()
{
cout}

MATRIX.H

#ifndef MATRIX_H_INCLUDED
#define MATRIX_H_INCLUDED
#include
#include
#include
#include

class Matrix2by2
{
protected:
float q[9];
float p[9];
float r[3][3];
public:
Matrix2by2();
virtual ~Matrix2by2();
Matrix2by2(float*);//Convert constructor.
float*setMatrix();
float*getMatrix();
float*invertMatrix();
Matrix2by2 operator+(Matrix2by2);
Matrix2by2 operator*(Matrix2by2);

} ;

class Matrix3by3:public Matrix2by2
{
public:
Matrix3by3();
~Matrix3by3();
Matrix3by3(float*);
float*setMatrix();
float*getMatrix();
Matrix3by3 operator+(Matrix3by3);
Matrix3by3 operator*(Matrix3by3);
float*invertMatrix();

};

#endif // MATRIX_H_INCLUDED

MATRIX.CPP

#include "Matrix.h"

using namespace std;

Matrix2by2::Matrix2by2()
{
for(short i=0;i {
q[i]=0;
p[i]=0;
}
for(short i=0;i {
for(short j=0;j r[i][j]=0;
}
}
Matrix2by2::~Matrix2by2()
{

}
Matrix2by2::Matrix2by2(float*q)
{
for(short i=0;i{
this->q[i]=q[i];
}
}

float*Matrix2by2::setMatrix()
{
cout for(short i=0;i cin>>q[i];
return q;
}
float*Matrix2by2::getMatrix()
{
for(short i=0;i cout cout for(short i=2;i cout cout return q;
}
float*Matrix2by2::invertMatrix()
{
float tmp=q[0]*q[3]-q[2]*q[1];
if(tmp!=0)
{
p[0]=q[3]/tmp;
p[1]=-q[1]/tmp;
p[2]=-q[2]/tmp;
p[3]=q[0]/tmp;
}
else cout Matrix2by2 M=p;
return p;

}
Matrix2by2 Matrix2by2::operator+(Matrix2by2 M)
{
for(short i=0;i {
p[i]=this->q[i]+M.q[i];
}
M=p;
return M;
}
Matrix2by2 Matrix2by2::operator*(Matrix2by2 M)
{
for(short i=0;i{
for(short j=0;j {
r[i][j]=this->q[i]*M.q[j]+this->q[i+1]*M.q[j+2];
}
}
p[0]=r[0][0];p[1]=r[0][1];p[2]=r[2][0];p[3]=r[2][1];
M=p;
return M;
}

Matrix3by3::Matrix3by3()
{
for(short i=0;i {
q[i]=0;
}
}
Matrix3by3::~Matrix3by3()
{

}
Matrix3by3::Matrix3by3(float*q)
{
for(short i=0;i {
this->q[i]=q[i];
}
}
float* Matrix3by3::setMatrix()
{
cout for(short i=0;i cin>>q[i];
return q;
}
float*Matrix3by3::getMatrix()
{
for(short i=0;i cout cout for(short i=3;i cout cout for(short i=6;i cout cout return q;

}
Matrix3by3 Matrix3by3::operator+(Matrix3by3 M)
{
for(short i=0;i {
p[i]=this->q[i]+M.q[i];
}
M=p;
return M;
}

Matrix3by3 Matrix3by3::operator*(Matrix3by3 M)
{
for(short i=0,k=0;i {
for(short j=0;j r[j][k]=this->q[i]*M.q[j]+this->q[i+1]*M.q[j+3]+this->q[i+2]*M.q[j+6];
}
for(short i=0,j=3,k=6;i {
p[i]=r[i][0];
p[j]=r[j-3][1];
p[k]=r[k-6][2];
}
M=p;
return M;
}
float* Matrix3by3::invertMatrix()
{
float det=q[0]*(q[4]*q[8]-q[5]*q[7])-q[1]*(q[3]*q[8]-q[5]*q[6])+q[2]*(q[3]*q[7]-q[4]*q[6]);
if(det!=0)
{
p[0]=(q[4]*q[8]-q[5]*q[7])/det;
p[3]=(q[5]*q[6]-q[3]*q[8])/det;
p[6]=(q[3]*q[7]-q[4]*q[6])/det;
p[1]=(q[2]*q[7]-q[1]*q[8])/det;
p[4]=(q[0]*q[8]-q[2]*q[6])/det;
p[7]=(q[1]*q[6]-q[0]*q[7])/det;
p[2]=(q[1]*q[5]-q[2]*q[4])/det;
p[5]=(q[2]*q[3]-q[0]*q[5])/det;
p[8]=(q[0]*q[4]-q[1]*q[3])/det;
}
else {
cout

}
Matrix3by3 N=p;
return p;
}