VECTOR.H

Description : Class library defining a set of 3D vector operations

Header files called upon : iostream.h iomanip.h math.h

Files required in project : MATRIX.CPP

Class details are as follows:

Class declaration : Vector

Member variables (private)

float *vec; float pointer to vector elements

int size; number of vector elements

Constructors (public)

Vector() : vec(new float[3]), size(3) {}

Default constructor to allocate space for a 3D vector

eg Vector vec1;

Vector(float p, float q, float r) : vec(new float[3]), size(3)

Constructor for an initialized 3D vector

eg Vector vec1(0.1, 0.2, 0.3);

Vector(int i) : vec(new float[i], size(i) {}

Constructor to allocate space for a vector that has i number of dimensions

eg Vector vec1(4);

Vector(const Vector &v)

Constructor to copy an already existing vector into a previously undeclared vector

eg Vector vec2(vec1);

NB1 vec2 is previously undeclared, vec1 already initialized

NB2 function defined in MATRIX.CPP

~Vector()

Destructor

Member functions (public)

int GetSize()

Returns size of vector

eg int i = vec1.GetSize();

Vector& operator= (const Vector& v)

Overloads '=' operator for vector assignment

eg vec1 = vec2;

NB function defined in MATRIX.CPP

Vector operator+ (const Vector& v)

Overloads '+' operator for vector additionn

eg vec1 = vec2 + vec3;

Vector& operator+= (Vector& v)

Overloads '+=' operator for vector incrementation

eg vec1 += vec2;

Vector operator- (const Vector& v)

Overloads '-' operator for vector subtraction

eg vec1 = vec2 - vec3;

Vector& operator-= (Vector& v)

Overloads '-=' operator for vector decrementation

eg vec1 -= vec2;

float operator* (const Vector& v)

Overloads '*' operator to calculate scalar product between two vectors

eg float scl1 = vec1 * vec2;

Vector operator& (const Vector& v)

Overloads '&' operator to calculate vector product between two vectors

eg vec1 = vec2 & vec3;

Vector operator/ (float y)

Overloads '/' operator for division of a vector by a scalar

eg vec1 = vec2 / scl1;

Vector& operator/= (float y)

Overloads'/=' operator for vector normalization

eg vec1 /= scl1;

float mod()

Returns modulus of a vector

eg scl1 = vec1.mod();

float& operator() (int i)

Overloads parentheses operator to access a particular element in a vector

eg float scl1 = vec1(i);

NB 'i'th vector element corresponds to [i-1]th array element therefore v1(1) accesses first element

friend class Matrix

matrix class

NB defined in MATRIX.CPP

friend ostream& operator << (ostream &os, Vector &v)

Overloads '<<' operator to write out a vector

eg cout << vec1;

NB defined in MATRIX.CPP