class Point3D

Defined in: C4Vector3D.h

The Point3D class encapsulates a 3D point.

Definition

class Point3D : public Vector3D

Constructor

Point3D();

Point3D(float r, float s, float t);

Parameters

`r`	The value of the x coordinate.
`s`	The value of the y coordinate.
`t`	The value of the z coordinate.

Description

The Point3D class is used to store a three-dimensional point having floating-point components 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 r, s, and t are supplied, then they are assigned to the x, y, and z components 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 Origin3D.

Overloaded Operators

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

Nonmember Operations

`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`.
`float operator *(const Point3D& p1, const Point3D& p2);`	Returns the dot product of the points `p1` and `p2`.
`float operator *(const Point3D& p, const Vector3D& v);`	Returns the dot product of the point `p` and the vector `v`.
`float operator *(const Vector3D& v, const Point3D& p);`	Returns the dot product of the vector `v` and the point `p`.
`float operator *(const Point3D& p, const Vector2D& v);`	Returns the dot product of the point `p` and the vector `v`.
`float operator *(const Vector2D& v, const Point3D& p);`	Returns the dot product of the vector `v` and the point `p`.
`Vector3D operator %(const Point3D& p1, const Point3D& p2);`	Returns the cross product of the points `p1` and `p2`.
`Vector3D operator %(const Point3D& p, const Vector3D& v);`	Returns the cross product of the point `p` and the vector `v`.
`Vector3D operator %(const Vector3D& v, const Point3D& p);`	Returns the cross product of the vector `v` and the point `p`.
`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`.

Base Classes

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