Vector4D Structure

Vector4D Structure

Defines a 4-dimensional vector (double-precision).

Namespace: DigitalRune.Mathematics.Algebra
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)

Syntax

C++

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[SerializableAttribute]
[TypeConverterAttribute(typeof(Vector4DConverter))]
[DataContractAttribute]
public struct Vector4D : IEquatable<Vector4D>

<SerializableAttribute>
<TypeConverterAttribute(GetType(Vector4DConverter))>
<DataContractAttribute>
Public Structure Vector4D
	Implements IEquatable(Of Vector4D)

[SerializableAttribute]
[TypeConverterAttribute(typeof(Vector4DConverter))]
[DataContractAttribute]
public value class Vector4D : IEquatable<Vector4D>

[<SealedAttribute>]
[<SerializableAttribute>]
[<TypeConverterAttribute(typeof(Vector4DConverter))>]
[<DataContractAttribute>]
type Vector4D =  
    struct
        interface IEquatable<Vector4D>
    end

The Vector4D type exposes the following members.

Constructors

	Name	Description
	Vector4D(IListDouble)	Initializes a new instance of Vector4D.
	Vector4D(Double)	Initializes a new instance of Vector4D.
	Vector4D(Double)	Initializes a new instance of Vector4D.
	Vector4D(Vector3D, Double)	Initializes a new instance of the Vector4D class.
	Vector4D(Double, Double, Double, Double)	Initializes a new instance of Vector4D.

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Methods

	Name	Description
	Absolute	Sets each vector component to its absolute value.
	Absolute(Vector4D)	Returns a vector with the absolute values of the elements of the given vector.
	Add	Adds two vectors.
	AreNumericallyEqual(Vector4D, Vector4D)	Determines whether two vectors are equal (regarding the tolerance EpsilonD).
	AreNumericallyEqual(Vector4D, Vector4D, Double)	Determines whether two vectors are equal (regarding a specific tolerance).
	Clamp(Double, Double)	Clamps the vector components to the range [min, max].
	Clamp(Vector4D, Double, Double)	Returns a vector with the vector components clamped to the range [min, max].
	ClampToZero	Clamps near-zero vector components to zero.
	ClampToZero(Double)	Clamps near-zero vector components to zero.
	ClampToZero(Vector4D)	Returns a vector with near-zero vector components clamped to 0.
	ClampToZero(Vector4D, Double)	Returns a vector with near-zero vector components clamped to 0.
	Divide(Vector4D, Vector4D)	Divides the components of a vector by the components of another vector.
	Divide(Vector4D, Double)	Divides a vector by a scalar.
	Dot	Returns the dot product of two vectors.
	Equals(Object)	Indicates whether this instance and a specified object are equal. (Overrides ValueTypeEquals(Object).)
	Equals(Vector4D)	Indicates whether the current object is equal to another object of the same type.
	FromXna	Converts this Vector4D (DigitalRune Mathematics) to Vector4 (XNA Framework).
	GetHashCode	Returns the hash code for this instance. (Overrides ValueTypeGetHashCode.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	HomogeneousDivide	Performs the homogeneous divide or perspective divide: X, Y and Z are divided by W.
	Max	Returns a vector that contains the highest value from each matching pair of components.
	Min	Returns a vector that contains the lowest value from each matching pair of components.
	Multiply(Double, Vector4D)	Multiplies a vector by a scalar.
	Multiply(Vector4D, Vector4D)	Multiplies the components of two vectors by each other.
	Negate	Negates a vector.
	Normalize	Normalizes the vector.
	Parse(String)	Converts the string representation of a 4-dimensional vector to its Vector4D equivalent.
	Parse(String, IFormatProvider)	Converts the string representation of a 4-dimensional vector in a specified culture-specific format to its Vector4D equivalent.
	ProjectTo(Vector4D)	Sets this vector to its projection onto the axis given by the target vector.
	ProjectTo(Vector4D, Vector4D)	Projects a vector onto an axis given by the target vector.
	Subtract	Subtracts a vector from a vector.
	ToArray	Converts this vector to an array of 4 double values.
	ToList	Converts this vector to a list of 4 double values.
	ToString	Returns the string representation of this vector. (Overrides ValueTypeToString.)
	ToString(IFormatProvider)	Returns the string representation of this vector using the specified culture-specific format information.
	ToVector4F	Converts this Vector4D to Vector4F.
	ToVectorD	Converts this Vector4D to VectorD.
	ToXna	Converts this Vector4D (DigitalRune Mathematics) to Vector4 (XNA Framework).
	TryNormalize	Tries to normalize the vector.

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Operators

	Name	Description
	Addition	Adds two vectors.
	Division(Vector4D, Vector4D)	Divides the components of a vector by the components of another vector.
	Division(Vector4D, Double)	Divides a vector by a scalar.
	Equality	Tests if two vectors are equal.
	(Vector4 to Vector4D)	Performs an conversion from Vector4 (XNA Framework) to Vector4D (DigitalRune Mathematics).
	(Vector4D to Double)	Converts a vector to an array of 4 double values.
	(Vector4D to ListDouble)	Converts a vector to a list of 4 double values.
	(Vector4D to Vector4F)	Performs an explicit conversion from Vector4D to Vector4F.
	(Vector4D to Vector4)	Performs an conversion from Vector4D (DigitalRune Mathematics) to Vector4 (XNA Framework).
	GreaterThan	Tests if each component of a vector is greater than the corresponding component of another vector.
	GreaterThanOrEqual	Tests if each component of a vector is greater or equal than the corresponding component of another vector.
	(Vector4D to VectorD)	Performs an implicit conversion from Vector4D to VectorD.
	Inequality	Tests if two vectors are not equal.
	LessThan	Tests if each component of a vector is less than the corresponding component of another vector.
	LessThanOrEqual	Tests if each component of a vector is less or equal than the corresponding component of another vector.
	Multiply(Double, Vector4D)	Multiplies a vector by a scalar.
	Multiply(Vector4D, Vector4D)	Multiplies the components of two vectors by each other.
	Multiply(Vector4D, Double)	Multiplies a vector by a scalar.
	Subtraction	Subtracts a vector from a vector.
	UnaryNegation	Negates a vector.

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Fields

	Name	Description
	One	Returns a Vector4D with all of its components set to one.
	UnitW	Returns the w unit Vector4D (0, 0, 0, 1).
	UnitX	Returns the x unit Vector4D (1, 0, 0, 0).
	UnitY	Returns the y unit Vector4D (0, 1, 0, 0).
	UnitZ	Returns the z unit Vector4D (0, 0, 1, 0).
	W	The w component.
	X	The x component.
	Y	The y component.
	Z	The z component.
	Zero	Returns a Vector4D with all of its components set to zero.

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Properties

	Name	Description
	IndexOfLargestComponent	Gets the index (zero-based) of the largest component.
	IndexOfSmallestComponent	Gets the index (zero-based) of the smallest component.
	IsNaN	Gets a value indicating whether a component of the vector is NaN.
	IsNumericallyNormalized	Returns a value indicating whether this vector is normalized (the length is numerically equal to 1).
	IsNumericallyZero	Returns a value indicating whether this vector has zero size (the length is numerically equal to 0).
	Item	Gets or sets the component at the specified index.
	LargestComponent	Gets the value of the largest component.
	Length	Gets or sets the length of this vector.
	LengthSquared	Returns the squared length of this vector.
	Normalized	Returns the normalized vector.
	SmallestComponent	Gets the value of the largest component.
	XYZ	Gets or sets the components x, y and z as a Vector3D.

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Remarks

The four components (x, y, z, w) are stored with double-precision.

Reference

DigitalRune.Mathematics.Algebra Namespace