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)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(Vector2 v)

Parameters

Type	Name	Description
Vector2	v	The Vector2 to copy components from.

Vector4(Vector3, float)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(Vector3 v, float w)

Parameters

Type	Name	Description
Vector3	v	The Vector3 to copy components from.
float	w	The w component of the new Vector4.

Vector4(Vector3)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(Vector3 v)

Parameters

Type	Name	Description
Vector3	v	The Vector3 to copy components from.

Remarks

.Vector4(Vector3, float)

Vector4(Vector4)

Initializes a new instance of the Vector4 struct.

Declaration

public Vector4(Vector4 v)

Parameters

Type	Name	Description
Vector4	v	The Vector4 to copy components from.

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.

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.

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] { 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 float Length { get; }

Property Value

Type	Description
float

See Also

LengthSquared

LengthFast

Gets an approximation of the vector length (magnitude).

Declaration

public float LengthFast { get; }

Property Value

Type	Description
float

Remarks

This property uses an approximation of the square root function to calculate vector magnitude, with an upper error bound of 0.001.

See Also

LengthSquared

LengthSquared

Gets the square of the vector length (magnitude).

Declaration

public 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

Wx

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

Declaration

public Vector2 Wx { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { 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 { get; set; }

Property Value

Type	Description
Vector4

Methods

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 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.

Equals(Vector4)

Declaration

public bool Equals(Vector4 other)

Parameters

Type	Name	Description
Vector4	other

Returns

Type	Description
bool

Equals(object)

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
object	obj

Returns

Type	Description
bool

Overrides

ValueType.Equals(object)

GetHashCode()

Declaration

public override int GetHashCode()

Returns

Type	Description
int

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.

Normalized()

Returns a copy of the Vector4 scaled to unit length.

Declaration

public Vector4 Normalized()

Returns

Type	Description
Vector4	The normalized copy.

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.

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()

Declaration

public override string ToString()

Returns

Type	Description
string

Overrides

ValueType.ToString()

ToString(IFormatProvider)

Declaration

public string ToString(IFormatProvider formatProvider)

Parameters

Type	Name	Description
IFormatProvider	formatProvider

Returns

Type	Description
string

ToString(string, IFormatProvider)

Declaration

public string ToString(string format, IFormatProvider formatProvider)

Parameters

Type	Name	Description
string	format
IFormatProvider	formatProvider

Returns

Type	Description
string

ToString(string)

Declaration

public string ToString(string format)

Parameters

Type	Name	Description
string	format

Returns

Type	Description
string

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 Color4(Vector4)

Returns this Vector4 as a Color4. The resulting struct will have RGBA mapped to XYZW, in that order.

Declaration

[Pure]
public static explicit operator Color4(Vector4 v)

Parameters

Type	Name	Description
Vector4	v	The Vector4 to convert.

Returns

Type	Description
Color4	The Vector4, converted to a Color4.

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.

explicit operator IntPtr(Vector4)

Returns a pointer to the first element of the specified instance.

Declaration

[Pure]
public static explicit operator IntPtr(Vector4 v)

Parameters

Type	Name	Description
Vector4	v	The instance.

Returns

Type	Description
IntPtr	A pointer to the first element of v.

explicit operator float*(Vector4)

Returns a pointer to the first element of the specified instance.

Declaration

[Pure]
public static explicit operator float*(Vector4 v)

Parameters

Type	Name	Description
Vector4	v	The instance.

Returns

Type	Description
float*	A pointer to the first element of v.

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