class Point3D

The Point3D class encapsulates a 3D point.

class Point3D : public Vector3D

Point3D();

Point3D(float a, float b, float c);

a	The value of the x coordinate.
b	The value of the y coordinate.
c	The value of the z coordinate.

The Point3D class is used to store a three-dimensional point having floating-point coordinates x, y, and z. The difference between a point and a vector is that a point is assumed to have a w coordinate of 1 whenever it needs to be converted to a four-dimensional representation, whereas a vector is assumed to have a w coordinate of 0. Such a conversion occurs when a vector or point is assigned to a Vector4D object or is multiplied by a Transform4D object.

The default constructor leaves the components of the vector undefined. If the values a, b, and c are supplied, then they are assigned to the x, y, and z coordinates of the base vector object, respectively.

The difference between two points produces a direction vector. A three-dimensional direction vector is converted to a point by adding it to the identifier Zero3D.

Point3D& operator *=(float n);	Multiplies by the scalar n.
Point3D& operator /=(float n);	Divides by the scalar n.

Point3D operator -(const Point3D& p);	Returns the negation of the point p.
Point3D operator +(const Point3D& p1, const Point3D& p2);	Returns the sum of the points p1 and p2.
Point3D operator +(const Point3D& p, const Vector3D& v);	Returns the sum of the point p and the vector v.
Vector3D operator -(const Point3D& p1, const Point3D& p2);	Returns the difference of the points p1 and p2.
Point3D operator -(const Point3D& p, const Vector3D& v);	Returns the difference of the point p and the vector v.
Point3D operator -(const Vector3D& v, const Point3D& p);	Returns the difference of the vector v and the point p.
Point3D operator *(const Point3D& p, float t);	Returns the product of the point p and the scalar t.
Point3D operator *(float t, const Point3D& p);	Returns the product of the point p and the scalar t.
Point3D operator /(const Point3D& p, float t);	Returns the product of the point p and the inverse of the scalar t.
Point3D operator *(const Point3D& p1, const Point3D& p2);	Returns the componentwise product of the points p1 and p2.
Point3D operator *(const Point3D& p, const Vector3D& v);	Returns the componentwise product of the point p and the vector v.
Point3D operator *(const Vector3D& v, const Point3D& p);	Returns the componentwise product of the vector v and the point p.

Vector3D

A Point3D object behaves much like a Vector3D object, but some properties are altered.

Vector3D

Vector4D