Struct Vector4

Represents a 4D vector using four single-precision floating-point numbers.

Implements

IEquatable<Vector4>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Vector4 : IEquatable<Vector4>, IFormattable

Remarks

The Vector4 structure is suitable for interoperation with unmanaged code requiring four consecutive floats.

Constructors

Vector4(Vector2, float, float)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(Vector2 xy, float z = 0, float w = 0)

Parameters

Type	Name	Description
Vector2	xy	The x and y components of the Vector4.
float	z	The z component of the Vector4.
float	w	The w component of the Vector4.

Vector4(Vector3, float)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(Vector3 xyz, float w = 0)

Parameters

Type	Name	Description
Vector3	xyz	The x, y and z components of the Vector4.
float	w	The w component of the Vector4.

Vector4(float)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(float value)

Parameters

Type	Name	Description
float	value	The value that will initialize this instance.

Vector4(float, float, float, float)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(float x, float y, float z, float w)

Parameters

Type	Name	Description
float	x	The x component of the Vector4.
float	y	The y component of the Vector4.
float	z	The z component of the Vector4.
float	w	The w component of the Vector4.

Fields

NegativeInfinity

Defines an instance with all components set to negative infinity.

Declaration

public static readonly Vector4 NegativeInfinity

Field Value

Type	Description
Vector4

One

Defines an instance with all components set to 1.

Declaration

public static readonly Vector4 One

Field Value

Type	Description
Vector4

PositiveInfinity

Defines an instance with all components set to positive infinity.

Declaration

public static readonly Vector4 PositiveInfinity

Field Value

Type	Description
Vector4

SizeInBytes

Defines the size of the Vector4 struct in bytes.

Declaration

public static readonly int SizeInBytes

Field Value

Type	Description
int

UnitW

Defines a unit-length Vector4 that points towards the W-axis.

Declaration

public static readonly Vector4 UnitW

Field Value

Type	Description
Vector4

UnitX

Defines a unit-length Vector4 that points towards the X-axis.

Declaration

public static readonly Vector4 UnitX

Field Value

Type	Description
Vector4

UnitY

Defines a unit-length Vector4 that points towards the Y-axis.

Declaration

public static readonly Vector4 UnitY

Field Value

Type	Description
Vector4

UnitZ

Defines a unit-length Vector4 that points towards the Z-axis.

Declaration

public static readonly Vector4 UnitZ

Field Value

Type	Description
Vector4

W

The W component of the Vector4.

Declaration

public float W

Field Value

Type	Description
float

X

The X component of the Vector4.

Declaration

public float X

Field Value

Type	Description
float

Y

The Y component of the Vector4.

Declaration

public float Y

Field Value

Type	Description
float

Z

The Z component of the Vector4.

Declaration

public float Z

Field Value

Type	Description
float

Zero

Defines an instance with all components set to 0.

Declaration

public static readonly Vector4 Zero

Field Value

Type	Description
Vector4

Properties

this[int]

Gets or sets the value at the index of the Vector.

Declaration

public float this[int index] { readonly get; set; }

Parameters

Type	Name	Description
int	index	The index of the component from the Vector.

Property Value

Type	Description
float

Exceptions

Type	Condition
IndexOutOfRangeException	Thrown if the index is less than 0 or greater than 3.

Length

Gets the length (magnitude) of the vector.

Declaration

public readonly float Length { get; }

Property Value

Type	Description
float

See Also

LengthSquared

LengthFast

Gets an approximation of the vector length (magnitude).

Declaration

public readonly float LengthFast { get; }

Property Value

Type	Description
float

Remarks

This property uses an approximation of the square root function to calculate vector magnitude.

See Also

LengthSquared

LengthSquared

Gets the square of the vector length (magnitude).

Declaration

public readonly float LengthSquared { get; }

Property Value

Type	Description
float

Remarks

This property avoids the costly square root operation required by the Length property. This makes it more suitable for comparisons.

See Also

LengthFast

ReciprocalLengthFast

Gets an approximation of 1 over the length (magnitude) of the vector.

Declaration

public readonly float ReciprocalLengthFast { get; }

Property Value

Type	Description
float

Wx

Gets or sets an OpenTK.Vector2 with the W and X components of this instance.

Declaration

public Vector2 Wx { readonly get; set; }

Property Value

Type	Description
Vector2

Wxy

Gets or sets an OpenTK.Vector3 with the W, X, and Y components of this instance.

Declaration

public Vector3 Wxy { readonly get; set; }

Property Value

Type	Description
Vector3

Wxyz

Gets or sets an OpenTK.Vector4 with the W, X, Y, and Z components of this instance.

Declaration

public Vector4 Wxyz { readonly get; set; }

Property Value

Type	Description
Vector4

Wxz

Gets or sets an OpenTK.Vector3 with the W, X, and Z components of this instance.

Declaration

public Vector3 Wxz { readonly get; set; }

Property Value

Type	Description
Vector3

Wxzy

Gets or sets an OpenTK.Vector4 with the W, X, Z, and Y components of this instance.

Declaration

public Vector4 Wxzy { readonly get; set; }

Property Value

Type	Description
Vector4

Wy

Gets or sets an OpenTK.Vector2 with the W and Y components of this instance.

Declaration

public Vector2 Wy { readonly get; set; }

Property Value

Type	Description
Vector2

Wyx

Gets or sets an OpenTK.Vector3 with the W, Y, and X components of this instance.

Declaration

public Vector3 Wyx { readonly get; set; }

Property Value

Type	Description
Vector3

Wyxz

Gets or sets an OpenTK.Vector4 with the W, Y, X, and Z components of this instance.

Declaration

public Vector4 Wyxz { readonly get; set; }

Property Value

Type	Description
Vector4

Wyz

Gets or sets an OpenTK.Vector3 with the W, Y, and Z components of this instance.

Declaration

public Vector3 Wyz { readonly get; set; }

Property Value

Type	Description
Vector3

Wyzx

Gets or sets an OpenTK.Vector4 with the W, Y, Z, and X components of this instance.

Declaration

public Vector4 Wyzx { readonly get; set; }

Property Value

Type	Description
Vector4

Wz

Gets or sets an OpenTK.Vector2 with the W and Z components of this instance.

Declaration

public Vector2 Wz { readonly get; set; }

Property Value

Type	Description
Vector2

Wzx

Gets or sets an OpenTK.Vector3 with the W, Z, and X components of this instance.

Declaration

public Vector3 Wzx { readonly get; set; }

Property Value

Type	Description
Vector3

Wzxy

Gets or sets an OpenTK.Vector4 with the W, Z, X, and Y components of this instance.

Declaration

public Vector4 Wzxy { readonly get; set; }

Property Value

Type	Description
Vector4

Wzy

Gets or sets an OpenTK.Vector3 with the W, Z, and Y components of this instance.

Declaration

public Vector3 Wzy { readonly get; set; }

Property Value

Type	Description
Vector3

Wzyw

Gets or sets an OpenTK.Vector4 with the W, Z, Y, and W components of this instance.

Declaration

public Vector4 Wzyw { readonly get; set; }

Property Value

Type	Description
Vector4

Wzyx

Gets or sets an OpenTK.Vector4 with the W, Z, Y, and X components of this instance.

Declaration

public Vector4 Wzyx { readonly get; set; }

Property Value

Type	Description
Vector4

Xw

Gets or sets an OpenTK.Vector2 with the X and W components of this instance.

Declaration

public Vector2 Xw { readonly get; set; }

Property Value

Type	Description
Vector2

Xwy

Gets or sets an OpenTK.Vector3 with the X, W, and Y components of this instance.

Declaration

public Vector3 Xwy { readonly get; set; }

Property Value

Type	Description
Vector3

Xwyz

Gets or sets an OpenTK.Vector4 with the X, W, Y, and Z components of this instance.

Declaration

public Vector4 Xwyz { readonly get; set; }

Property Value

Type	Description
Vector4

Xwz

Gets or sets an OpenTK.Vector3 with the X, W, and Z components of this instance.

Declaration

public Vector3 Xwz { readonly get; set; }

Property Value

Type	Description
Vector3

Xwzy

Gets or sets an OpenTK.Vector4 with the X, W, Z, and Y components of this instance.

Declaration

public Vector4 Xwzy { readonly get; set; }

Property Value

Type	Description
Vector4

Xy

Gets or sets an OpenTK.Vector2 with the X and Y components of this instance.

Declaration

public Vector2 Xy { get; set; }

Property Value

Type	Description
Vector2

Xyw

Gets or sets an OpenTK.Vector3 with the X, Y, and Z components of this instance.

Declaration

public Vector3 Xyw { readonly get; set; }

Property Value

Type	Description
Vector3

Xywz

Gets or sets an OpenTK.Vector4 with the X, Y, W, and Z components of this instance.

Declaration

public Vector4 Xywz { readonly get; set; }

Property Value

Type	Description
Vector4

Xyz

Gets or sets an OpenTK.Vector3 with the X, Y, and Z components of this instance.

Declaration

public Vector3 Xyz { get; set; }

Property Value

Type	Description
Vector3

Xz

Gets or sets an OpenTK.Vector2 with the X and Z components of this instance.

Declaration

public Vector2 Xz { readonly get; set; }

Property Value

Type	Description
Vector2

Xzw

Gets or sets an OpenTK.Vector3 with the X, Z, and W components of this instance.

Declaration

public Vector3 Xzw { readonly get; set; }

Property Value

Type	Description
Vector3

Xzwy

Gets or sets an OpenTK.Vector4 with the X, Z, W, and Y components of this instance.

Declaration

public Vector4 Xzwy { readonly get; set; }

Property Value

Type	Description
Vector4

Xzy

Gets or sets an OpenTK.Vector3 with the X, Z, and Y components of this instance.

Declaration

public Vector3 Xzy { readonly get; set; }

Property Value

Type	Description
Vector3

Xzyw

Gets or sets an OpenTK.Vector4 with the X, Z, Y, and W components of this instance.

Declaration

public Vector4 Xzyw { readonly get; set; }

Property Value

Type	Description
Vector4

Yw

Gets or sets an OpenTK.Vector2 with the Y and W components of this instance.

Declaration

public Vector2 Yw { readonly get; set; }

Property Value

Type	Description
Vector2

Ywx

Gets or sets an OpenTK.Vector3 with the Y, W, and X components of this instance.

Declaration

public Vector3 Ywx { readonly get; set; }

Property Value

Type	Description
Vector3

Ywxz

Gets or sets an OpenTK.Vector4 with the Y, W, X, and Z components of this instance.

Declaration

public Vector4 Ywxz { readonly get; set; }

Property Value

Type	Description
Vector4

Ywz

Gets or sets an OpenTK.Vector3 with the Y, W, and Z components of this instance.

Declaration

public Vector3 Ywz { readonly get; set; }

Property Value

Type	Description
Vector3

Ywzx

Gets or sets an OpenTK.Vector4 with the Y, W, Z, and X components of this instance.

Declaration

public Vector4 Ywzx { readonly get; set; }

Property Value

Type	Description
Vector4

Yx

Gets or sets an OpenTK.Vector2 with the Y and X components of this instance.

Declaration

public Vector2 Yx { readonly get; set; }

Property Value

Type	Description
Vector2

Yxw

Gets or sets an OpenTK.Vector3 with the Y, X, and W components of this instance.

Declaration

public Vector3 Yxw { readonly get; set; }

Property Value

Type	Description
Vector3

Yxwz

Gets or sets an OpenTK.Vector4 with the Y, X, W, and Z components of this instance.

Declaration

public Vector4 Yxwz { readonly get; set; }

Property Value

Type	Description
Vector4

Yxz

Gets or sets an OpenTK.Vector3 with the Y, X, and Z components of this instance.

Declaration

public Vector3 Yxz { readonly get; set; }

Property Value

Type	Description
Vector3

Yxzw

Gets or sets an OpenTK.Vector4 with the Y, X, Z, and W components of this instance.

Declaration

public Vector4 Yxzw { readonly get; set; }

Property Value

Type	Description
Vector4

Yywz

Gets or sets an OpenTK.Vector4 with the Y, Y, W, and Z components of this instance.

Declaration

public Vector4 Yywz { readonly get; set; }

Property Value

Type	Description
Vector4

Yyzw

Gets or sets an OpenTK.Vector4 with the Y, Y, Z, and W components of this instance.

Declaration

public Vector4 Yyzw { readonly get; set; }

Property Value

Type	Description
Vector4

Yz

Gets or sets an OpenTK.Vector2 with the Y and Z components of this instance.

Declaration

public Vector2 Yz { readonly get; set; }

Property Value

Type	Description
Vector2

Yzw

Gets or sets an OpenTK.Vector3 with the Y, Z, and W components of this instance.

Declaration

public Vector3 Yzw { readonly get; set; }

Property Value

Type	Description
Vector3

Yzwx

Gets or sets an OpenTK.Vector4 with the Y, Z, W, and X components of this instance.

Declaration

public Vector4 Yzwx { readonly get; set; }

Property Value

Type	Description
Vector4

Yzx

Gets or sets an OpenTK.Vector3 with the Y, Z, and X components of this instance.

Declaration

public Vector3 Yzx { readonly get; set; }

Property Value

Type	Description
Vector3

Yzxw

Gets or sets an OpenTK.Vector4 with the Y, Z, X, and W components of this instance.

Declaration

public Vector4 Yzxw { readonly get; set; }

Property Value

Type	Description
Vector4

Zw

Gets or sets an OpenTK.Vector2 with the Z and W components of this instance.

Declaration

public Vector2 Zw { readonly get; set; }

Property Value

Type	Description
Vector2

Zwx

Gets or sets an OpenTK.Vector3 with the Z, W, and X components of this instance.

Declaration

public Vector3 Zwx { readonly get; set; }

Property Value

Type	Description
Vector3

Zwxy

Gets or sets an OpenTK.Vector4 with the Z, W, X, and Y components of this instance.

Declaration

public Vector4 Zwxy { readonly get; set; }

Property Value

Type	Description
Vector4

Zwy

Gets or sets an OpenTK.Vector3 with the Z, W, and Y components of this instance.

Declaration

public Vector3 Zwy { readonly get; set; }

Property Value

Type	Description
Vector3

Zwyx

Gets or sets an OpenTK.Vector4 with the Z, W, Y, and X components of this instance.

Declaration

public Vector4 Zwyx { readonly get; set; }

Property Value

Type	Description
Vector4

Zwzy

Gets or sets an OpenTK.Vector4 with the Z, W, Z, and Y components of this instance.

Declaration

public Vector4 Zwzy { readonly get; set; }

Property Value

Type	Description
Vector4

Zx

Gets or sets an OpenTK.Vector2 with the Z and X components of this instance.

Declaration

public Vector2 Zx { readonly get; set; }

Property Value

Type	Description
Vector2

Zxw

Gets or sets an OpenTK.Vector3 with the Z, X, and W components of this instance.

Declaration

public Vector3 Zxw { readonly get; set; }

Property Value

Type	Description
Vector3

Zxwy

Gets or sets an OpenTK.Vector4 with the Z, X, W, and Y components of this instance.

Declaration

public Vector4 Zxwy { readonly get; set; }

Property Value

Type	Description
Vector4

Zxy

Gets or sets an OpenTK.Vector3 with the Z, X, and Y components of this instance.

Declaration

public Vector3 Zxy { readonly get; set; }

Property Value

Type	Description
Vector3

Zxyw

Gets or sets an OpenTK.Vector4 with the Z, X, Y, and Z components of this instance.

Declaration

public Vector4 Zxyw { readonly get; set; }

Property Value

Type	Description
Vector4

Zy

Gets or sets an OpenTK.Vector2 with the Z and Y components of this instance.

Declaration

public Vector2 Zy { readonly get; set; }

Property Value

Type	Description
Vector2

Zyw

Gets or sets an OpenTK.Vector3 with the Z, Y, and W components of this instance.

Declaration

public Vector3 Zyw { readonly get; set; }

Property Value

Type	Description
Vector3

Zywx

Gets or sets an OpenTK.Vector4 with the Z, Y, W, and X components of this instance.

Declaration

public Vector4 Zywx { readonly get; set; }

Property Value

Type	Description
Vector4

Zyx

Gets or sets an OpenTK.Vector3 with the Z, Y, and X components of this instance.

Declaration

public Vector3 Zyx { readonly get; set; }

Property Value

Type	Description
Vector3

Zyxw

Gets or sets an OpenTK.Vector4 with the Z, Y, X, and W components of this instance.

Declaration

public Vector4 Zyxw { readonly get; set; }

Property Value

Type	Description
Vector4

Methods

Abs()

Returns a new vector that is the component-wise absolute value of the vector.

Declaration

public readonly Vector4 Abs()

Returns

Type	Description
Vector4	The component-wise absolute value vector.

Abs(Vector4)

Take the component-wise absolute value of a vector.

Declaration

public static Vector4 Abs(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The vector to apply component-wise absolute value to.

Returns

Type	Description
Vector4	The component-wise absolute value vector.

Abs(in Vector4, out Vector4)

Take the component-wise absolute value of a vector.

Declaration

public static void Abs(in Vector4 vec, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vec	The vector to apply component-wise absolute value to.
Vector4	result	The component-wise absolute value vector.

Add(Vector4, Vector4)

Adds two vectors.

Declaration

[Pure]
public static Vector4 Add(Vector4 a, Vector4 b)

Parameters

Type	Name	Description
Vector4	a	Left operand.
Vector4	b	Right operand.

Returns

Type	Description
Vector4	Result of operation.

Add(in Vector4, in Vector4, out Vector4)

Adds two vectors.

Declaration

public static void Add(in Vector4 a, in Vector4 b, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	Left operand.
Vector4	b	Right operand.
Vector4	result	Result of operation.

BaryCentric(Vector4, Vector4, Vector4, float, float)

Interpolate 3 Vectors using Barycentric coordinates.

Declaration

[Pure]
public static Vector4 BaryCentric(Vector4 a, Vector4 b, Vector4 c, float u, float v)

Parameters

Type	Name	Description
Vector4	a	First input Vector.
Vector4	b	Second input Vector.
Vector4	c	Third input Vector.
float	u	First Barycentric Coordinate.
float	v	Second Barycentric Coordinate.

Returns

Type	Description
Vector4	a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise.

BaryCentric(in Vector4, in Vector4, in Vector4, float, float, out Vector4)

Interpolate 3 Vectors using Barycentric coordinates.

Declaration

public static void BaryCentric(in Vector4 a, in Vector4 b, in Vector4 c, float u, float v, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	First input Vector.
Vector4	b	Second input Vector.
Vector4	c	Third input Vector.
float	u	First Barycentric Coordinate.
float	v	Second Barycentric Coordinate.
Vector4	result	Output Vector. a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise.

Clamp(Vector4, Vector4, Vector4)

Clamp a vector to the given minimum and maximum vectors.

Declaration

[Pure]
public static Vector4 Clamp(Vector4 vec, Vector4 min, Vector4 max)

Parameters

Type	Name	Description
Vector4	vec	Input vector.
Vector4	min	Minimum vector.
Vector4	max	Maximum vector.

Returns

Type	Description
Vector4	The clamped vector.

Clamp(in Vector4, in Vector4, in Vector4, out Vector4)

Clamp a vector to the given minimum and maximum vectors.

Declaration

public static void Clamp(in Vector4 vec, in Vector4 min, in Vector4 max, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vec	Input vector.
Vector4	min	Minimum vector.
Vector4	max	Maximum vector.
Vector4	result	The clamped vector.

ComponentMax(Vector4, Vector4)

Returns a vector created from the largest of the corresponding components of the given vectors.

Declaration

[Pure]
public static Vector4 ComponentMax(Vector4 a, Vector4 b)

Parameters

Type	Name	Description
Vector4	a	First operand.
Vector4	b	Second operand.

Returns

Type	Description
Vector4	The component-wise maximum.

ComponentMax(in Vector4, in Vector4, out Vector4)

Returns a vector created from the largest of the corresponding components of the given vectors.

Declaration

public static void ComponentMax(in Vector4 a, in Vector4 b, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	First operand.
Vector4	b	Second operand.
Vector4	result	The component-wise maximum.

ComponentMin(Vector4, Vector4)

Returns a vector created from the smallest of the corresponding components of the given vectors.

Declaration

[Pure]
public static Vector4 ComponentMin(Vector4 a, Vector4 b)

Parameters

Type	Name	Description
Vector4	a	First operand.
Vector4	b	Second operand.

Returns

Type	Description
Vector4	The component-wise minimum.

ComponentMin(in Vector4, in Vector4, out Vector4)

Returns a vector created from the smallest of the corresponding components of the given vectors.

Declaration

public static void ComponentMin(in Vector4 a, in Vector4 b, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	First operand.
Vector4	b	Second operand.
Vector4	result	The component-wise minimum.

Deconstruct(out float, out float, out float, out float)

Deconstructs the vector into it's individual components.

Declaration

[Pure]
public readonly void Deconstruct(out float x, out float y, out float z, out float w)

Parameters

Type	Name	Description
float	x	The X component of the vector.
float	y	The Y component of the vector.
float	z	The Z component of the vector.
float	w	The W component of the vector.

Divide(Vector4, Vector4)

Divides a vector by the components of a vector (scale).

Declaration

[Pure]
public static Vector4 Divide(Vector4 vector, Vector4 scale)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
Vector4	scale	Right operand.

Returns

Type	Description
Vector4	Result of the operation.

Divide(Vector4, float)

Divides a vector by a scalar.

Declaration

[Pure]
public static Vector4 Divide(Vector4 vector, float scale)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
float	scale	Right operand.

Returns

Type	Description
Vector4	Result of the operation.

Divide(in Vector4, in Vector4, out Vector4)

Divide a vector by the components of a vector (scale).

Declaration

public static void Divide(in Vector4 vector, in Vector4 scale, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
Vector4	scale	Right operand.
Vector4	result	Result of the operation.

Divide(in Vector4, float, out Vector4)

Divides a vector by a scalar.

Declaration

public static void Divide(in Vector4 vector, float scale, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
float	scale	Right operand.
Vector4	result	Result of the operation.

Dot(Vector4, Vector4)

Calculate the dot product of two vectors.

Declaration

[Pure]
public static float Dot(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	First operand.
Vector4	right	Second operand.

Returns

Type	Description
float	The dot product of the two inputs.

Dot(in Vector4, in Vector4, out float)

Calculate the dot product of two vectors.

Declaration

public static void Dot(in Vector4 left, in Vector4 right, out float result)

Parameters

Type	Name	Description
Vector4	left	First operand.
Vector4	right	Second operand.
float	result	The dot product of the two inputs.

Elerp(Vector4, Vector4, float)

Returns a new vector that is the exponential interpolation of the two vectors. Equivalent to a * pow(b/a, t).

Declaration

public static Vector4 Elerp(Vector4 a, Vector4 b, float t)

Parameters

Type	Name	Description
Vector4	a	The starting value. Must be non-negative.
Vector4	b	The end value. Must be non-negative.
float	t	The blend factor.

Returns

Type	Description
Vector4	The exponential interpolation between a and b.

See Also

Elerp(float, float, float)

Elerp(in Vector4, in Vector4, float, out Vector4)

Returns a new vector that is the exponential interpolation of the two vectors. Equivalent to a * pow(b/a, t).

Declaration

public static void Elerp(in Vector4 a, in Vector4 b, float t, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	The starting value. Must be non-negative.
Vector4	b	The end value. Must be non-negative.
float	t	The blend factor.
Vector4	result	The exponential interpolation between a and b.

See Also

Elerp(float, float, float)

Equals(Vector4)

Indicates whether the current object is equal to another object of the same type.

Declaration

public readonly bool Equals(Vector4 other)

Parameters

Type	Name	Description
Vector4	other	An object to compare with this object.

Returns

Type	Description
bool	true if the current object is equal to the other parameter; otherwise, false.

Equals(object)

Indicates whether this instance and a specified object are equal.

Declaration

public override readonly bool Equals(object obj)

Parameters

Type	Name	Description
object	obj	The object to compare with the current instance.

Returns

Type	Description
bool	true if obj and this instance are the same type and represent the same value; otherwise, false.

Overrides

ValueType.Equals(object)

GetHashCode()

Returns the hash code for this instance.

Declaration

public override readonly int GetHashCode()

Returns

Type	Description
int	A 32-bit signed integer that is the hash code for this instance.

Overrides

ValueType.GetHashCode()

Lerp(Vector4, Vector4, Vector4)

Returns a new vector that is the component-wise linear blend of the 2 given vectors.

Declaration

[Pure]
public static Vector4 Lerp(Vector4 a, Vector4 b, Vector4 blend)

Parameters

Type	Name	Description
Vector4	a	First input vector.
Vector4	b	Second input vector.
Vector4	blend	The blend factor.

Returns

Type	Description
Vector4	a when blend=0, b when blend=1, and a component-wise linear combination otherwise.

Lerp(Vector4, Vector4, float)

Returns a new vector that is the linear blend of the 2 given vectors.

Declaration

[Pure]
public static Vector4 Lerp(Vector4 a, Vector4 b, float blend)

Parameters

Type	Name	Description
Vector4	a	First input vector.
Vector4	b	Second input vector.
float	blend	The blend factor.

Returns

Type	Description
Vector4	a when blend=0, b when blend=1, and a linear combination otherwise.

Lerp(in Vector4, in Vector4, Vector4, out Vector4)

Returns a new vector that is the component-wise linear blend of the 2 given vectors.

Declaration

public static void Lerp(in Vector4 a, in Vector4 b, Vector4 blend, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	First input vector.
Vector4	b	Second input vector.
Vector4	blend	The blend factor.
Vector4	result	a when blend=0, b when blend=1, and a component-wise linear combination otherwise.

Lerp(in Vector4, in Vector4, float, out Vector4)

Returns a new vector that is the linear blend of the 2 given vectors.

Declaration

public static void Lerp(in Vector4 a, in Vector4 b, float blend, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	First input vector.
Vector4	b	Second input vector.
float	blend	The blend factor.
Vector4	result	a when blend=0, b when blend=1, and a linear combination otherwise.

MagnitudeMax(Vector4, Vector4)

Returns the Vector4 with the maximum magnitude. If the magnitudes are equal, the first vector is selected.

Declaration

[Pure]
public static Vector4 MagnitudeMax(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	Left operand.
Vector4	right	Right operand.

Returns

Type	Description
Vector4	The maximum Vector4.

MagnitudeMax(in Vector4, in Vector4, out Vector4)

Returns the Vector4 with the maximum magnitude. If the magnitudes are equal, the first vector is selected.

Declaration

public static void MagnitudeMax(in Vector4 left, in Vector4 right, out Vector4 result)

Parameters

Type	Name	Description
Vector4	left	Left operand.
Vector4	right	Right operand.
Vector4	result	The magnitude-wise maximum.

MagnitudeMin(Vector4, Vector4)

Returns the Vector4 with the minimum magnitude. If the magnitudes are equal, the second vector is selected.

Declaration

[Pure]
public static Vector4 MagnitudeMin(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	Left operand.
Vector4	right	Right operand.

Returns

Type	Description
Vector4	The minimum Vector4.

MagnitudeMin(in Vector4, in Vector4, out Vector4)

Returns the Vector4 with the minimum magnitude. If the magnitudes are equal, the second vector is selected.

Declaration

public static void MagnitudeMin(in Vector4 left, in Vector4 right, out Vector4 result)

Parameters

Type	Name	Description
Vector4	left	Left operand.
Vector4	right	Right operand.
Vector4	result	The magnitude-wise minimum.

Multiply(Vector4, Vector4)

Multiplies a vector by the components a vector (scale).

Declaration

[Pure]
public static Vector4 Multiply(Vector4 vector, Vector4 scale)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
Vector4	scale	Right operand.

Returns

Type	Description
Vector4	Result of the operation.

Multiply(Vector4, float)

Multiplies a vector by a scalar.

Declaration

[Pure]
public static Vector4 Multiply(Vector4 vector, float scale)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
float	scale	Right operand.

Returns

Type	Description
Vector4	Result of the operation.

Multiply(in Vector4, in Vector4, out Vector4)

Multiplies a vector by the components of a vector (scale).

Declaration

public static void Multiply(in Vector4 vector, in Vector4 scale, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
Vector4	scale	Right operand.
Vector4	result	Result of the operation.

Multiply(in Vector4, float, out Vector4)

Multiplies a vector by a scalar.

Declaration

public static void Multiply(in Vector4 vector, float scale, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vector	Left operand.
float	scale	Right operand.
Vector4	result	Result of the operation.

Normalize()

Scales the Vector4 to unit length.

Declaration

public void Normalize()

Normalize(Vector4)

Scale a vector to unit length.

Declaration

[Pure]
public static Vector4 Normalize(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The input vector.

Returns

Type	Description
Vector4	The normalized copy.

Normalize(in Vector4, out Vector4)

Scale a vector to unit length.

Declaration

public static void Normalize(in Vector4 vec, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vec	The input vector.
Vector4	result	The normalized vector.

NormalizeFast()

Scales the Vector4 to approximately unit length.

Declaration

public void NormalizeFast()

NormalizeFast(Vector4)

Scale a vector to approximately unit length.

Declaration

[Pure]
public static Vector4 NormalizeFast(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The input vector.

Returns

Type	Description
Vector4	The normalized copy.

NormalizeFast(in Vector4, out Vector4)

Scale a vector to approximately unit length.

Declaration

public static void NormalizeFast(in Vector4 vec, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vec	The input vector.
Vector4	result	The normalized copy.

Normalized()

Returns a copy of the Vector4 scaled to unit length.

Declaration

public readonly Vector4 Normalized()

Returns

Type	Description
Vector4	The normalized copy.

Slerp(Vector4, Vector4, float)

Returns a new vector that is the spherical interpolation of the two given vectors. a and b need to be normalized for this function to work properly.

Declaration

[Pure]
public static Vector4 Slerp(Vector4 a, Vector4 b, float t)

Parameters

Type	Name	Description
Vector4	a	Unit vector start point.
Vector4	b	Unit vector end point.
float	t	The blend factor.

Returns

Type	Description
Vector4	a when t=0, b when t=1, and a spherical interpolation between the vectors otherwise.

Slerp(in Vector4, in Vector4, float, out Vector4)

Returns a new vector that is the spherical interpolation of the two given vectors. a and b need to be normalized for this function to work properly.

Declaration

public static void Slerp(in Vector4 a, in Vector4 b, float t, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	Unit vector start point.
Vector4	b	Unit vector end point.
float	t	The blend factor.
Vector4	result	Is a when t=0, b when t=1, and a spherical interpolation between the vectors otherwise.

Subtract(Vector4, Vector4)

Subtract one Vector from another.

Declaration

[Pure]
public static Vector4 Subtract(Vector4 a, Vector4 b)

Parameters

Type	Name	Description
Vector4	a	First operand.
Vector4	b	Second operand.

Returns

Type	Description
Vector4	Result of subtraction.

Subtract(in Vector4, in Vector4, out Vector4)

Subtract one Vector from another.

Declaration

public static void Subtract(in Vector4 a, in Vector4 b, out Vector4 result)

Parameters

Type	Name	Description
Vector4	a	First operand.
Vector4	b	Second operand.
Vector4	result	Result of subtraction.

ToString()

Returns the fully qualified type name of this instance.

Declaration

public override readonly string ToString()

Returns

Type	Description
string	The fully qualified type name.

Overrides

ValueType.ToString()

ToString(IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration

public readonly string ToString(IFormatProvider formatProvider)

Parameters

Type	Name	Description
IFormatProvider	formatProvider	The provider to use to format the value. -or- A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns

Type	Description
string	The value of the current instance in the specified format.

ToString(string)

Formats the value of the current instance using the specified format.

Declaration

public readonly string ToString(string format)

Parameters

Type	Name	Description
string	format	The format to use. -or- A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.

Returns

Type	Description
string	The value of the current instance in the specified format.

ToString(string, IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration

public readonly string ToString(string format, IFormatProvider formatProvider)

Parameters

Type	Name	Description
string	format	The format to use. -or- A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
IFormatProvider	formatProvider	The provider to use to format the value. -or- A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns

Type	Description
string	The value of the current instance in the specified format.

Transform(Vector4, Quaternion)

Transforms a vector by a quaternion rotation.

Declaration

[Pure]
public static Vector4 Transform(Vector4 vec, Quaternion quat)

Parameters

Type	Name	Description
Vector4	vec	The vector to transform.
Quaternion	quat	The quaternion to rotate the vector by.

Returns

Type	Description
Vector4	The result of the operation.

Transform(in Vector4, in Quaternion, out Vector4)

Transforms a vector by a quaternion rotation.

Declaration

public static void Transform(in Vector4 vec, in Quaternion quat, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vec	The vector to transform.
Quaternion	quat	The quaternion to rotate the vector by.
Vector4	result	The result of the operation.

TransformColumn(Matrix4, Vector4)

Transform a Vector by the given Matrix using right-handed notation.

Declaration

[Pure]
public static Vector4 TransformColumn(Matrix4 mat, Vector4 vec)

Parameters

Type	Name	Description
Matrix4	mat	The desired transformation.
Vector4	vec	The vector to transform.

Returns

Type	Description
Vector4	The transformed vector.

TransformColumn(in Matrix4, in Vector4, out Vector4)

Transform a Vector by the given Matrix using right-handed notation.

Declaration

public static void TransformColumn(in Matrix4 mat, in Vector4 vec, out Vector4 result)

Parameters

Type	Name	Description
Matrix4	mat	The desired transformation.
Vector4	vec	The vector to transform.
Vector4	result	The transformed vector.

TransformRow(Vector4, Matrix4)

Transform a Vector by the given Matrix.

Declaration

[Pure]
public static Vector4 TransformRow(Vector4 vec, Matrix4 mat)

Parameters

Type	Name	Description
Vector4	vec	The vector to transform.
Matrix4	mat	The desired transformation.

Returns

Type	Description
Vector4	The transformed vector.

TransformRow(in Vector4, in Matrix4, out Vector4)

Transform a Vector by the given Matrix.

Declaration

public static void TransformRow(in Vector4 vec, in Matrix4 mat, out Vector4 result)

Parameters

Type	Name	Description
Vector4	vec	The vector to transform.
Matrix4	mat	The desired transformation.
Vector4	result	The transformed vector.

Operators

operator +(Vector4, Vector4)

Adds two instances.

Declaration

[Pure]
public static Vector4 operator +(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	The first instance.
Vector4	right	The second instance.

Returns

Type	Description
Vector4	The result of the calculation.

operator /(Vector4, Vector4)

Component-wise division between the specified instance by a scale vector.

Declaration

[Pure]
public static Vector4 operator /(Vector4 vec, Vector4 scale)

Parameters

Type	Name	Description
Vector4	vec	Left operand.
Vector4	scale	Right operand.

Returns

Type	Description
Vector4	Result of the division.

operator /(Vector4, float)

Divides an instance by a scalar.

Declaration

[Pure]
public static Vector4 operator /(Vector4 vec, float scale)

Parameters

Type	Name	Description
Vector4	vec	The instance.
float	scale	The scalar.

Returns

Type	Description
Vector4	The result of the calculation.

operator ==(Vector4, Vector4)

Compares two instances for equality.

Declaration

public static bool operator ==(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	The first instance.
Vector4	right	The second instance.

Returns

Type	Description
bool	True, if left equals right; false otherwise.

explicit operator Vector4h(Vector4)

Converts OpenTK.Vector4 to OpenTK.Vector4h.

Declaration

[Pure]
public static explicit operator Vector4h(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The Vector4 to convert.

Returns

Type	Description
Vector4h	The resulting Vector4h.

explicit operator Vector4i(Vector4)

Converts OpenTK.Vector4 to OpenTK.Vector4i.

Declaration

[Pure]
public static explicit operator Vector4i(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The Vector4 to convert.

Returns

Type	Description
Vector4i	The resulting Vector4i.

implicit operator Vector4d(Vector4)

Converts OpenTK.Vector4 to OpenTK.Vector4d.

Declaration

[Pure]
public static implicit operator Vector4d(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The Vector4 to convert.

Returns

Type	Description
Vector4d	The resulting Vector4d.

implicit operator Vector4((float X, float Y, float Z, float W))

Initializes a new instance of the Vector4 struct using a tuple containing the component values.

Declaration

[Pure]
public static implicit operator Vector4((float X, float Y, float Z, float W) values)

Parameters

Type	Name	Description
(float X, float Y, float Z, float W)	values	A tuple containing the component values.

Returns

Type	Description
Vector4	A new instance of the Vector4 struct with the given component values.

operator !=(Vector4, Vector4)

Compares two instances for inequality.

Declaration

public static bool operator !=(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	The first instance.
Vector4	right	The second instance.

Returns

Type	Description
bool	True, if left does not equa lright; false otherwise.

operator *(Matrix4, Vector4)

Transform a Vector by the given Matrix using right-handed notation.

Declaration

[Pure]
public static Vector4 operator *(Matrix4 mat, Vector4 vec)

Parameters

Type	Name	Description
Matrix4	mat	The desired transformation.
Vector4	vec	The vector to transform.

Returns

Type	Description
Vector4	The transformed vector.

operator *(Quaternion, Vector4)

Transforms a vector by a quaternion rotation.

Declaration

[Pure]
public static Vector4 operator *(Quaternion quat, Vector4 vec)

Parameters

Type	Name	Description
Quaternion	quat	The quaternion to rotate the vector by.
Vector4	vec	The vector to transform.

Returns

Type	Description
Vector4	The transformed vector.

operator *(Vector4, Matrix4)

Transform a Vector by the given Matrix.

Declaration

[Pure]
public static Vector4 operator *(Vector4 vec, Matrix4 mat)

Parameters

Type	Name	Description
Vector4	vec	The vector to transform.
Matrix4	mat	The desired transformation.

Returns

Type	Description
Vector4	The transformed vector.

operator *(Vector4, Vector4)

Component-wise multiplication between the specified instance by a scale vector.

Declaration

[Pure]
public static Vector4 operator *(Vector4 vec, Vector4 scale)

Parameters

Type	Name	Description
Vector4	vec	Right operand.
Vector4	scale	Left operand.

Returns

Type	Description
Vector4	Result of multiplication.

operator *(Vector4, float)

Multiplies an instance by a scalar.

Declaration

[Pure]
public static Vector4 operator *(Vector4 vec, float scale)

Parameters

Type	Name	Description
Vector4	vec	The instance.
float	scale	The scalar.

Returns

Type	Description
Vector4	The result of the calculation.

operator *(float, Vector4)

Multiplies an instance by a scalar.

Declaration

[Pure]
public static Vector4 operator *(float scale, Vector4 vec)

Parameters

Type	Name	Description
float	scale	The scalar.
Vector4	vec	The instance.

Returns

Type	Description
Vector4	The result of the calculation.

operator -(Vector4, Vector4)

Subtracts two instances.

Declaration

[Pure]
public static Vector4 operator -(Vector4 left, Vector4 right)

Parameters

Type	Name	Description
Vector4	left	The first instance.
Vector4	right	The second instance.

Returns

Type	Description
Vector4	The result of the calculation.

operator -(Vector4)

Negates an instance.

Declaration

[Pure]
public static Vector4 operator -(Vector4 vec)

Parameters

Type	Name	Description
Vector4	vec	The instance.

Returns

Type	Description
Vector4	The result of the calculation.

Implements

IEquatable<T>

IFormattable