Loyc.Geometry.Vector3< T > Struct Template Reference

Represents a three-dimensional vector, i.e. a magnitude and direction or the difference between two points, stored as X, Y and Z components. More...

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Source file:

• /Core/Loyc.Essentials/Geometry/Vector3T.cs

Inheritance diagram for Loyc.Geometry.Vector3< T >:

Remarks

Represents a three-dimensional vector, i.e. a magnitude and direction or the difference between two points, stored as X, Y and Z components.

A vector is the same as a point except for the operations it supports. For example, it usually does not make sense to add two points, but you can add two vectors (to get another vector) or you can add a vector to a point (to get a point).

If you really do need to add two points together or something like that, you can typecast from Point3{T} to Vector3{T}.

See also

Loyc.Geometry.PointMath, Loyc.Geometry.VectorMath{T}, Point3{T}

Type Constraints

T	:	IConvertible
T	:	IEquatable<T>

Public fields
T	_y
T	_z

Public static fields
static ISignedMath< T >	m = Maths<T>.SignedMath
static readonly Vector3< T >	Zero = new Vector3<T>()
static readonly Vector3< T >	Inf = new Vector3<T>(m.PositiveInfinity, m.PositiveInfinity, m.PositiveInfinity)

Properties
T	X [get, set]
T	Y [get, set]
T	Z [get, set]
Properties inherited from Loyc.Geometry.IPoint3Base< T >
new T	Z [get, set]
	Z coordinate of a point or vector. More...
Properties inherited from Loyc.Geometry.IPointBase< T >
new T	X [get, set]
	Horizontal coordinate of a point or vector. More...
new T	Y [get, set]
	Vertical coordinate of a point or vector. More...
Properties inherited from Loyc.Geometry.IPointReader< T >
T	X [get]
T	Y [get]
Properties inherited from Loyc.Geometry.IPoint3Reader< T >
T	Z [get]

Public Member Functions
	Vector3 (T x, T y)
	Vector3 (T x, T y, T z)
override bool	Equals (object other)
override int	GetHashCode ()
override string	ToString ()
Vector3< T >	New (T x, T y, T z)
IPoint3< T > INewPoint3 < IPoint3< T >, T >.	New (T x, T y, T z)
bool	Equals (Vector3< T > other)

Static Public Member Functions
static	operator Point3< T > (Vector3< T > p)
static	operator Vector3< int > (Vector3< T > p)
static	operator Vector3< long > (Vector3< T > p)
static	operator Vector3< float > (Vector3< T > p)
static	operator Vector3< double > (Vector3< T > p)
static Vector3< T >	operator+ (Vector3< T > a, Vector3< T > b)
static Vector3< T >	operator- (Vector3< T > a, Vector3< T > b)
static Vector3< T >	operator* (Vector3< T > p, T factor)
static Vector3< T >	operator/ (Vector3< T > p, T factor)
static Vector3< T >	operator<< (Vector3< T > p, int amt)
static Vector3< T >	operator>> (Vector3< T > p, int amt)
static T	operator* (Vector3< T > a, Vector3< T > b)
	Dot product. a*b equals lhs.Length*rhs.Length*Cos(theta) if theta is the angle between two vectors. More...
static Vector3< T >	operator- (Vector3< T > a)
	Reverses a vector. More...
static bool	operator== (Vector3< T > a, Vector3< T > b)
static bool	operator!= (Vector3< T > a, Vector3< T > b)

Member Function Documentation

static T Loyc.Geometry.Vector3< T >.operator* ( Vector3< T >  a, Vector3< T >  b  )

inlinestatic

Dot product. a*b equals lhs.Length*rhs.Length*Cos(theta) if theta is the angle between two vectors.

static Vector3<T> Loyc.Geometry.Vector3< T >.operator- ( Vector3< T >  a )

inlinestatic

Reverses a vector.