Struct Vector4d

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

Implements

IEquatable<Vector4d>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Vector4d : IEquatable<Vector4d>, IFormattable

Remarks

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

Constructors

Vector4d(Vector2d, double, double)

Initializes a new instance of the Vector4d struct.

Declaration

public Vector4d(Vector2d xy, double z = 0, double w = 0)

Parameters

Type	Name	Description
Vector2d	xy	The x and y components of the Vector4d.
double	z	The z component of the Vector4d.
double	w	The w component of the Vector4d.

Vector4d(Vector3d, double)

Initializes a new instance of the Vector4d struct.

Declaration

public Vector4d(Vector3d xyz, double w = 0)

Parameters

Type	Name	Description
Vector3d	xyz	The x, y and z components of the Vector4d.
double	w	The w component of the Vector4d.

Vector4d(double)

Initializes a new instance of the Vector4d struct.

Declaration

public Vector4d(double value)

Parameters

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

Vector4d(double, double, double, double)

Initializes a new instance of the Vector4d struct.

Declaration

public Vector4d(double x, double y, double z, double w)

Parameters

Type	Name	Description
double	x	The x component of the Vector4d.
double	y	The y component of the Vector4d.
double	z	The z component of the Vector4d.
double	w	The w component of the Vector4d.

Fields

NegativeInfinity

Defines an instance with all components set to negative infinity.

Declaration

public static readonly Vector4d NegativeInfinity

Field Value

Type	Description
Vector4d

One

Defines an instance with all components set to 1.

Declaration

public static readonly Vector4d One

Field Value

Type	Description
Vector4d

PositiveInfinity

Defines an instance with all components set to positive infinity.

Declaration

public static readonly Vector4d PositiveInfinity

Field Value

Type	Description
Vector4d

SizeInBytes

Defines the size of the Vector4d struct in bytes.

Declaration

public static readonly int SizeInBytes

Field Value

Type	Description
int

UnitW

Defines a unit-length Vector4d that points towards the W-axis.

Declaration

public static readonly Vector4d UnitW

Field Value

Type	Description
Vector4d

UnitX

Defines a unit-length Vector4d that points towards the X-axis.

Declaration

public static readonly Vector4d UnitX

Field Value

Type	Description
Vector4d

UnitY

Defines a unit-length Vector4d that points towards the Y-axis.

Declaration

public static readonly Vector4d UnitY

Field Value

Type	Description
Vector4d

UnitZ

Defines a unit-length Vector4d that points towards the Z-axis.

Declaration

public static readonly Vector4d UnitZ

Field Value

Type	Description
Vector4d

W

The W component of the Vector4d.

Declaration

public double W

Field Value

Type	Description
double

X

The X component of the Vector4d.

Declaration

public double X

Field Value

Type	Description
double

Y

The Y component of the Vector4d.

Declaration

public double Y

Field Value

Type	Description
double

Z

The Z component of the Vector4d.

Declaration

public double Z

Field Value

Type	Description
double

Zero

Defines an instance with all components set to 0.

Declaration

public static readonly Vector4d Zero

Field Value

Type	Description
Vector4d

Properties

this[int]

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

Declaration

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

Parameters

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

Property Value

Type	Description
double

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 double Length { get; }

Property Value

Type	Description
double

See Also

LengthSquared

LengthFast

Gets an approximation of the vector length (magnitude).

Declaration

public readonly double LengthFast { get; }

Property Value

Type	Description
double

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 double LengthSquared { get; }

Property Value

Type	Description
double

Remarks

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

ReciprocalLengthFast

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

Declaration

public readonly double ReciprocalLengthFast { get; }

Property Value

Type	Description
double

Wx

Gets or sets an OpenTK.Vector2d with the W and X components of this instance.

Declaration

public Vector2d Wx { readonly get; set; }

Property Value

Type	Description
Vector2d

Wxy

Gets or sets an OpenTK.Vector3d with the W, X, and Y components of this instance.

Declaration

public Vector3d Wxy { readonly get; set; }

Property Value

Type	Description
Vector3d

Wxyz

Gets or sets an OpenTK.Vector4d with the W, X, Y, and Z components of this instance.

Declaration

public Vector4d Wxyz { readonly get; set; }

Property Value

Type	Description
Vector4d

Wxz

Gets or sets an OpenTK.Vector3d with the W, X, and Z components of this instance.

Declaration

public Vector3d Wxz { readonly get; set; }

Property Value

Type	Description
Vector3d

Wxzy

Gets or sets an OpenTK.Vector4d with the W, X, Z, and Y components of this instance.

Declaration

public Vector4d Wxzy { readonly get; set; }

Property Value

Type	Description
Vector4d

Wy

Gets or sets an OpenTK.Vector2d with the W and Y components of this instance.

Declaration

public Vector2d Wy { readonly get; set; }

Property Value

Type	Description
Vector2d

Wyx

Gets or sets an OpenTK.Vector3d with the W, Y, and X components of this instance.

Declaration

public Vector3d Wyx { readonly get; set; }

Property Value

Type	Description
Vector3d

Wyxz

Gets or sets an OpenTK.Vector4d with the W, Y, X, and Z components of this instance.

Declaration

public Vector4d Wyxz { readonly get; set; }

Property Value

Type	Description
Vector4d

Wyz

Gets or sets an OpenTK.Vector3d with the W, Y, and Z components of this instance.

Declaration

public Vector3d Wyz { readonly get; set; }

Property Value

Type	Description
Vector3d

Wyzx

Gets or sets an OpenTK.Vector4d with the W, Y, Z, and X components of this instance.

Declaration

public Vector4d Wyzx { readonly get; set; }

Property Value

Type	Description
Vector4d

Wz

Gets or sets an OpenTK.Vector2d with the W and Z components of this instance.

Declaration

public Vector2d Wz { readonly get; set; }

Property Value

Type	Description
Vector2d

Wzx

Gets or sets an OpenTK.Vector3d with the W, Z, and X components of this instance.

Declaration

public Vector3d Wzx { readonly get; set; }

Property Value

Type	Description
Vector3d

Wzxy

Gets or sets an OpenTK.Vector4d with the W, Z, X, and Y components of this instance.

Declaration

public Vector4d Wzxy { readonly get; set; }

Property Value

Type	Description
Vector4d

Wzy

Gets or sets an OpenTK.Vector3d with the W, Z, and Y components of this instance.

Declaration

public Vector3d Wzy { readonly get; set; }

Property Value

Type	Description
Vector3d

Wzyw

Gets or sets an OpenTK.Vector4d with the W, Z, Y, and W components of this instance.

Declaration

public Vector4d Wzyw { readonly get; set; }

Property Value

Type	Description
Vector4d

Wzyx

Gets or sets an OpenTK.Vector4d with the W, Z, Y, and X components of this instance.

Declaration

public Vector4d Wzyx { readonly get; set; }

Property Value

Type	Description
Vector4d

Xw

Gets or sets an OpenTK.Vector2d with the X and W components of this instance.

Declaration

public Vector2d Xw { readonly get; set; }

Property Value

Type	Description
Vector2d

Xwy

Gets or sets an OpenTK.Vector3d with the X, W, and Y components of this instance.

Declaration

public Vector3d Xwy { readonly get; set; }

Property Value

Type	Description
Vector3d

Xwyz

Gets or sets an OpenTK.Vector4d with the X, W, Y, and Z components of this instance.

Declaration

public Vector4d Xwyz { readonly get; set; }

Property Value

Type	Description
Vector4d

Xwz

Gets or sets an OpenTK.Vector3d with the X, W, and Z components of this instance.

Declaration

public Vector3d Xwz { readonly get; set; }

Property Value

Type	Description
Vector3d

Xwzy

Gets or sets an OpenTK.Vector4d with the X, W, Z, and Y components of this instance.

Declaration

public Vector4d Xwzy { readonly get; set; }

Property Value

Type	Description
Vector4d

Xy

Gets or sets an OpenTK.Vector2d with the X and Y components of this instance.

Declaration

public Vector2d Xy { get; set; }

Property Value

Type	Description
Vector2d

Xyw

Gets or sets an OpenTK.Vector3d with the X, Y, and Z components of this instance.

Declaration

public Vector3d Xyw { readonly get; set; }

Property Value

Type	Description
Vector3d

Xywz

Gets or sets an OpenTK.Vector4d with the X, Y, W, and Z components of this instance.

Declaration

public Vector4d Xywz { readonly get; set; }

Property Value

Type	Description
Vector4d

Xyz

Gets or sets an OpenTK.Vector3d with the X, Y, and Z components of this instance.

Declaration

public Vector3d Xyz { get; set; }

Property Value

Type	Description
Vector3d

Xz

Gets or sets an OpenTK.Vector2d with the X and Z components of this instance.

Declaration

public Vector2d Xz { readonly get; set; }

Property Value

Type	Description
Vector2d

Xzw

Gets or sets an OpenTK.Vector3d with the X, Z, and W components of this instance.

Declaration

public Vector3d Xzw { readonly get; set; }

Property Value

Type	Description
Vector3d

Xzwy

Gets or sets an OpenTK.Vector4d with the X, Z, W, and Y components of this instance.

Declaration

public Vector4d Xzwy { readonly get; set; }

Property Value

Type	Description
Vector4d

Xzy

Gets or sets an OpenTK.Vector3d with the X, Z, and Y components of this instance.

Declaration

public Vector3d Xzy { readonly get; set; }

Property Value

Type	Description
Vector3d

Xzyw

Gets or sets an OpenTK.Vector4d with the X, Z, Y, and W components of this instance.

Declaration

public Vector4d Xzyw { readonly get; set; }

Property Value

Type	Description
Vector4d

Yw

Gets or sets an OpenTK.Vector2d with the Y and W components of this instance.

Declaration

public Vector2d Yw { readonly get; set; }

Property Value

Type	Description
Vector2d

Ywx

Gets or sets an OpenTK.Vector3d with the Y, W, and X components of this instance.

Declaration

public Vector3d Ywx { readonly get; set; }

Property Value

Type	Description
Vector3d

Ywxz

Gets or sets an OpenTK.Vector4d with the Y, W, X, and Z components of this instance.

Declaration

public Vector4d Ywxz { readonly get; set; }

Property Value

Type	Description
Vector4d

Ywz

Gets or sets an OpenTK.Vector3d with the Y, W, and Z components of this instance.

Declaration

public Vector3d Ywz { readonly get; set; }

Property Value

Type	Description
Vector3d

Ywzx

Gets or sets an OpenTK.Vector4d with the Y, W, Z, and X components of this instance.

Declaration

public Vector4d Ywzx { readonly get; set; }

Property Value

Type	Description
Vector4d

Yx

Gets or sets an OpenTK.Vector2d with the Y and X components of this instance.

Declaration

public Vector2d Yx { readonly get; set; }

Property Value

Type	Description
Vector2d

Yxw

Gets or sets an OpenTK.Vector3d with the Y, X, and W components of this instance.

Declaration

public Vector3d Yxw { readonly get; set; }

Property Value

Type	Description
Vector3d

Yxwz

Gets or sets an OpenTK.Vector4d with the Y, X, W, and Z components of this instance.

Declaration

public Vector4d Yxwz { readonly get; set; }

Property Value

Type	Description
Vector4d

Yxz

Gets or sets an OpenTK.Vector3d with the Y, X, and Z components of this instance.

Declaration

public Vector3d Yxz { readonly get; set; }

Property Value

Type	Description
Vector3d

Yxzw

Gets or sets an OpenTK.Vector4d with the Y, X, Z, and W components of this instance.

Declaration

public Vector4d Yxzw { readonly get; set; }

Property Value

Type	Description
Vector4d

Yywz

Gets or sets an OpenTK.Vector4d with the Y, Y, W, and Z components of this instance.

Declaration

public Vector4d Yywz { readonly get; set; }

Property Value

Type	Description
Vector4d

Yyzw

Gets or sets an OpenTK.Vector4d with the Y, Y, Z, and W components of this instance.

Declaration

public Vector4d Yyzw { readonly get; set; }

Property Value

Type	Description
Vector4d

Yz

Gets or sets an OpenTK.Vector2d with the Y and Z components of this instance.

Declaration

public Vector2d Yz { readonly get; set; }

Property Value

Type	Description
Vector2d

Yzw

Gets or sets an OpenTK.Vector3d with the Y, Z, and W components of this instance.

Declaration

public Vector3d Yzw { readonly get; set; }

Property Value

Type	Description
Vector3d

Yzwx

Gets or sets an OpenTK.Vector4d with the Y, Z, W, and X components of this instance.

Declaration

public Vector4d Yzwx { readonly get; set; }

Property Value

Type	Description
Vector4d

Yzx

Gets or sets an OpenTK.Vector3d with the Y, Z, and X components of this instance.

Declaration

public Vector3d Yzx { readonly get; set; }

Property Value

Type	Description
Vector3d

Yzxw

Gets or sets an OpenTK.Vector4d with the Y, Z, X, and W components of this instance.

Declaration

public Vector4d Yzxw { readonly get; set; }

Property Value

Type	Description
Vector4d

Zw

Gets or sets an OpenTK.Vector2d with the Z and W components of this instance.

Declaration

public Vector2d Zw { readonly get; set; }

Property Value

Type	Description
Vector2d

Zwx

Gets or sets an OpenTK.Vector3d with the Z, W, and X components of this instance.

Declaration

public Vector3d Zwx { readonly get; set; }

Property Value

Type	Description
Vector3d

Zwxy

Gets or sets an OpenTK.Vector4d with the Z, W, X, and Y components of this instance.

Declaration

public Vector4d Zwxy { readonly get; set; }

Property Value

Type	Description
Vector4d

Zwy

Gets or sets an OpenTK.Vector3d with the Z, W, and Y components of this instance.

Declaration

public Vector3d Zwy { readonly get; set; }

Property Value

Type	Description
Vector3d

Zwyx

Gets or sets an OpenTK.Vector4d with the Z, W, Y, and X components of this instance.

Declaration

public Vector4d Zwyx { readonly get; set; }

Property Value

Type	Description
Vector4d

Zwzy

Gets or sets an OpenTK.Vector4d with the Z, W, Z, and Y components of this instance.

Declaration

public Vector4d Zwzy { readonly get; set; }

Property Value

Type	Description
Vector4d

Zx

Gets or sets an OpenTK.Vector2d with the Z and X components of this instance.

Declaration

public Vector2d Zx { readonly get; set; }

Property Value

Type	Description
Vector2d

Zxw

Gets or sets an OpenTK.Vector3d with the Z, X, and W components of this instance.

Declaration

public Vector3d Zxw { readonly get; set; }

Property Value

Type	Description
Vector3d

Zxwy

Gets or sets an OpenTK.Vector4d with the Z, X, W, and Y components of this instance.

Declaration

public Vector4d Zxwy { readonly get; set; }

Property Value

Type	Description
Vector4d

Zxy

Gets or sets an OpenTK.Vector3d with the Z, X, and Y components of this instance.

Declaration

public Vector3d Zxy { readonly get; set; }

Property Value

Type	Description
Vector3d

Zxyw

Gets or sets an OpenTK.Vector4d with the Z, X, Y, and Z components of this instance.

Declaration

public Vector4d Zxyw { readonly get; set; }

Property Value

Type	Description
Vector4d

Zy

Gets or sets an OpenTK.Vector2d with the Z and Y components of this instance.

Declaration

public Vector2d Zy { readonly get; set; }

Property Value

Type	Description
Vector2d

Zyw

Gets or sets an OpenTK.Vector3d with the Z, Y, and W components of this instance.

Declaration

public Vector3d Zyw { readonly get; set; }

Property Value

Type	Description
Vector3d

Zywx

Gets or sets an OpenTK.Vector4d with the Z, Y, W, and X components of this instance.

Declaration

public Vector4d Zywx { readonly get; set; }

Property Value

Type	Description
Vector4d

Zyx

Gets or sets an OpenTK.Vector3d with the Z, Y, and X components of this instance.

Declaration

public Vector3d Zyx { readonly get; set; }

Property Value

Type	Description
Vector3d

Zyxw

Gets or sets an OpenTK.Vector4d with the Z, Y, X, and W components of this instance.

Declaration

public Vector4d Zyxw { readonly get; set; }

Property Value

Type	Description
Vector4d

Methods

Abs()

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

Declaration

public readonly Vector4d Abs()

Returns

Type	Description
Vector4d	The component-wise absolute value vector.

Abs(Vector4d)

Take the component-wise absolute value of a vector.

Declaration

public static Vector4d Abs(Vector4d vec)

Parameters

Type	Name	Description
Vector4d	vec	The vector to apply component-wise absolute value to.

Returns

Type	Description
Vector4d	The component-wise absolute value vector.

Abs(in Vector4d, out Vector4d)

Take the component-wise absolute value of a vector.

Declaration

public static void Abs(in Vector4d vec, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vec	The vector to apply component-wise absolute value to.
Vector4d	result	The component-wise absolute value vector.

Add(Vector4d, Vector4d)

Adds two vectors.

Declaration

[Pure]
public static Vector4d Add(Vector4d a, Vector4d b)

Parameters

Type	Name	Description
Vector4d	a	Left operand.
Vector4d	b	Right operand.

Returns

Type	Description
Vector4d	Result of operation.

Add(in Vector4d, in Vector4d, out Vector4d)

Adds two vectors.

Declaration

public static void Add(in Vector4d a, in Vector4d b, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	Left operand.
Vector4d	b	Right operand.
Vector4d	result	Result of operation.

BaryCentric(Vector4d, Vector4d, Vector4d, double, double)

Interpolate 3 Vectors using Barycentric coordinates.

Declaration

[Pure]
public static Vector4d BaryCentric(Vector4d a, Vector4d b, Vector4d c, double u, double v)

Parameters

Type	Name	Description
Vector4d	a	First input Vector.
Vector4d	b	Second input Vector.
Vector4d	c	Third input Vector.
double	u	First Barycentric Coordinate.
double	v	Second Barycentric Coordinate.

Returns

Type	Description
Vector4d	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 Vector4d, in Vector4d, in Vector4d, double, double, out Vector4d)

Interpolate 3 Vectors using Barycentric coordinates.

Declaration

public static void BaryCentric(in Vector4d a, in Vector4d b, in Vector4d c, double u, double v, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	First input Vector.
Vector4d	b	Second input Vector.
Vector4d	c	Third input Vector.
double	u	First Barycentric Coordinate.
double	v	Second Barycentric Coordinate.
Vector4d	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(Vector4d, Vector4d, Vector4d)

Clamp a vector to the given minimum and maximum vectors.

Declaration

[Pure]
public static Vector4d Clamp(Vector4d vec, Vector4d min, Vector4d max)

Parameters

Type	Name	Description
Vector4d	vec	Input vector.
Vector4d	min	Minimum vector.
Vector4d	max	Maximum vector.

Returns

Type	Description
Vector4d	The clamped vector.

Clamp(in Vector4d, in Vector4d, in Vector4d, out Vector4d)

Clamp a vector to the given minimum and maximum vectors.

Declaration

public static void Clamp(in Vector4d vec, in Vector4d min, in Vector4d max, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vec	Input vector.
Vector4d	min	Minimum vector.
Vector4d	max	Maximum vector.
Vector4d	result	The clamped vector.

ComponentMax(Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d ComponentMax(Vector4d a, Vector4d b)

Parameters

Type	Name	Description
Vector4d	a	First operand.
Vector4d	b	Second operand.

Returns

Type	Description
Vector4d	The component-wise maximum.

ComponentMax(in Vector4d, in Vector4d, out Vector4d)

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

Declaration

public static void ComponentMax(in Vector4d a, in Vector4d b, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	First operand.
Vector4d	b	Second operand.
Vector4d	result	The component-wise maximum.

ComponentMin(Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d ComponentMin(Vector4d a, Vector4d b)

Parameters

Type	Name	Description
Vector4d	a	First operand.
Vector4d	b	Second operand.

Returns

Type	Description
Vector4d	The component-wise minimum.

ComponentMin(in Vector4d, in Vector4d, out Vector4d)

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

Declaration

public static void ComponentMin(in Vector4d a, in Vector4d b, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	First operand.
Vector4d	b	Second operand.
Vector4d	result	The component-wise minimum.

Deconstruct(out double, out double, out double, out double)

Deconstructs the vector into it's individual components.

Declaration

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

Parameters

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

Divide(Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d Divide(Vector4d vector, Vector4d scale)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
Vector4d	scale	Right operand.

Returns

Type	Description
Vector4d	Result of the operation.

Divide(Vector4d, double)

Divides a vector by a scalar.

Declaration

[Pure]
public static Vector4d Divide(Vector4d vector, double scale)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
double	scale	Right operand.

Returns

Type	Description
Vector4d	Result of the operation.

Divide(in Vector4d, in Vector4d, out Vector4d)

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

Declaration

public static void Divide(in Vector4d vector, in Vector4d scale, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
Vector4d	scale	Right operand.
Vector4d	result	Result of the operation.

Divide(in Vector4d, double, out Vector4d)

Divides a vector by a scalar.

Declaration

public static void Divide(in Vector4d vector, double scale, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
double	scale	Right operand.
Vector4d	result	Result of the operation.

Dot(Vector4d, Vector4d)

Calculate the dot product of two vectors.

Declaration

[Pure]
public static double Dot(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	First operand.
Vector4d	right	Second operand.

Returns

Type	Description
double	The dot product of the two inputs.

Dot(in Vector4d, in Vector4d, out double)

Calculate the dot product of two vectors.

Declaration

public static void Dot(in Vector4d left, in Vector4d right, out double result)

Parameters

Type	Name	Description
Vector4d	left	First operand.
Vector4d	right	Second operand.
double	result	The dot product of the two inputs.

Elerp(Vector4d, Vector4d, float)

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

Declaration

public static Vector4d Elerp(Vector4d a, Vector4d b, float t)

Parameters

Type	Name	Description
Vector4d	a	The starting value. Must be non-negative.
Vector4d	b	The end value. Must be non-negative.
float	t	The blend factor.

Returns

Type	Description
Vector4d	The exponential interpolation between a and b.

See Also

Elerp(double, double, double)

Elerp(in Vector4d, in Vector4d, float, out Vector4d)

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 Vector4d a, in Vector4d b, float t, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	The starting value. Must be non-negative.
Vector4d	b	The end value. Must be non-negative.
float	t	The blend factor.
Vector4d	result	The exponential interpolation between a and b.

See Also

Elerp(double, double, double)

Equals(Vector4d)

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

Declaration

public readonly bool Equals(Vector4d other)

Parameters

Type	Name	Description
Vector4d	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 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(Vector4d, Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d Lerp(Vector4d a, Vector4d b, Vector4d blend)

Parameters

Type	Name	Description
Vector4d	a	First input vector.
Vector4d	b	Second input vector.
Vector4d	blend	The blend factor.

Returns

Type	Description
Vector4d	a when blend=0, b when blend=1, and a component-wise linear combination otherwise.

Lerp(Vector4d, Vector4d, double)

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

Declaration

[Pure]
public static Vector4d Lerp(Vector4d a, Vector4d b, double blend)

Parameters

Type	Name	Description
Vector4d	a	First input vector.
Vector4d	b	Second input vector.
double	blend	The blend factor.

Returns

Type	Description
Vector4d	a when blend=0, b when blend=1, and a linear combination otherwise.

Lerp(in Vector4d, in Vector4d, Vector4d, out Vector4d)

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

Declaration

public static void Lerp(in Vector4d a, in Vector4d b, Vector4d blend, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	First input vector.
Vector4d	b	Second input vector.
Vector4d	blend	The blend factor.
Vector4d	result	a when blend=0, b when blend=1, and a component-wise linear combination otherwise.

Lerp(in Vector4d, in Vector4d, double, out Vector4d)

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

Declaration

public static void Lerp(in Vector4d a, in Vector4d b, double blend, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	First input vector.
Vector4d	b	Second input vector.
double	blend	The blend factor.
Vector4d	result	a when blend=0, b when blend=1, and a linear combination otherwise.

MagnitudeMax(Vector4d, Vector4d)

Returns the Vector4d with the minimum magnitude.

Declaration

[Pure]
public static Vector4d MagnitudeMax(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	Left operand.
Vector4d	right	Right operand.

Returns

Type	Description
Vector4d	The minimum Vector4d.

MagnitudeMax(in Vector4d, in Vector4d, out Vector4d)

Returns the Vector4d with the maximum magnitude.

Declaration

public static void MagnitudeMax(in Vector4d left, in Vector4d right, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	left	Left operand.
Vector4d	right	Right operand.
Vector4d	result	The magnitude-wise maximum.

MagnitudeMin(Vector4d, Vector4d)

Returns the Vector4d with the minimum magnitude.

Declaration

[Pure]
public static Vector4d MagnitudeMin(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	Left operand.
Vector4d	right	Right operand.

Returns

Type	Description
Vector4d	The minimum Vector4d.

MagnitudeMin(in Vector4d, in Vector4d, out Vector4d)

Returns the Vector4d with the minimum magnitude.

Declaration

public static void MagnitudeMin(in Vector4d left, in Vector4d right, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	left	Left operand.
Vector4d	right	Right operand.
Vector4d	result	The magnitude-wise minimum.

Multiply(Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d Multiply(Vector4d vector, Vector4d scale)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
Vector4d	scale	Right operand.

Returns

Type	Description
Vector4d	Result of the operation.

Multiply(Vector4d, double)

Multiplies a vector by a scalar.

Declaration

[Pure]
public static Vector4d Multiply(Vector4d vector, double scale)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
double	scale	Right operand.

Returns

Type	Description
Vector4d	Result of the operation.

Multiply(in Vector4d, in Vector4d, out Vector4d)

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

Declaration

public static void Multiply(in Vector4d vector, in Vector4d scale, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
Vector4d	scale	Right operand.
Vector4d	result	Result of the operation.

Multiply(in Vector4d, double, out Vector4d)

Multiplies a vector by a scalar.

Declaration

public static void Multiply(in Vector4d vector, double scale, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vector	Left operand.
double	scale	Right operand.
Vector4d	result	Result of the operation.

Normalize()

Scales the Vector4d to unit length.

Declaration

public void Normalize()

Normalize(Vector4d)

Scale a vector to unit length.

Declaration

[Pure]
public static Vector4d Normalize(Vector4d vec)

Parameters

Type	Name	Description
Vector4d	vec	The input vector.

Returns

Type	Description
Vector4d	The normalized copy.

Normalize(in Vector4d, out Vector4d)

Scale a vector to unit length.

Declaration

public static void Normalize(in Vector4d vec, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vec	The input vector.
Vector4d	result	The normalized vector.

NormalizeFast()

Scales the Vector4d to approximately unit length.

Declaration

public void NormalizeFast()

NormalizeFast(Vector4d)

Scale a vector to approximately unit length.

Declaration

[Pure]
public static Vector4d NormalizeFast(Vector4d vec)

Parameters

Type	Name	Description
Vector4d	vec	The input vector.

Returns

Type	Description
Vector4d	The normalized copy.

NormalizeFast(in Vector4d, out Vector4d)

Scale a vector to approximately unit length.

Declaration

public static void NormalizeFast(in Vector4d vec, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vec	The input vector.
Vector4d	result	The normalized vector.

Normalized()

Returns a copy of the Vector4d scaled to unit length.

Declaration

public readonly Vector4d Normalized()

Returns

Type	Description
Vector4d	The normalized copy.

Slerp(Vector4d, Vector4d, double)

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 Vector4d Slerp(Vector4d a, Vector4d b, double t)

Parameters

Type	Name	Description
Vector4d	a	Unit vector start point.
Vector4d	b	Unit vector end point.
double	t	The blend factor.

Returns

Type	Description
Vector4d	a when t=0, b when t=1, and a spherical interpolation between the vectors otherwise.

Slerp(in Vector4d, in Vector4d, double, out Vector4d)

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 Vector4d a, in Vector4d b, double t, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	Unit vector start point.
Vector4d	b	Unit vector end point.
double	t	The blend factor.
Vector4d	result	Is a when t=0, b when t=1, and a spherical interpolation between the vectors otherwise.

Subtract(Vector4d, Vector4d)

Subtract one Vector from another.

Declaration

[Pure]
public static Vector4d Subtract(Vector4d a, Vector4d b)

Parameters

Type	Name	Description
Vector4d	a	First operand.
Vector4d	b	Second operand.

Returns

Type	Description
Vector4d	Result of subtraction.

Subtract(in Vector4d, in Vector4d, out Vector4d)

Subtract one Vector from another.

Declaration

public static void Subtract(in Vector4d a, in Vector4d b, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	a	First operand.
Vector4d	b	Second operand.
Vector4d	result	Result of subtraction.

ToString()

Returns the fully qualified type name of this instance.

Declaration

public override 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 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 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(Vector4d, Quaterniond)

Transforms a vector by a quaternion rotation.

Declaration

[Pure]
public static Vector4d Transform(Vector4d vec, Quaterniond quat)

Parameters

Type	Name	Description
Vector4d	vec	The vector to transform.
Quaterniond	quat	The quaternion to rotate the vector by.

Returns

Type	Description
Vector4d	The result of the operation.

Transform(in Vector4d, in Quaterniond, out Vector4d)

Transforms a vector by a quaternion rotation.

Declaration

public static void Transform(in Vector4d vec, in Quaterniond quat, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vec	The vector to transform.
Quaterniond	quat	The quaternion to rotate the vector by.
Vector4d	result	The result of the operation.

TransformColumn(Matrix4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d TransformColumn(Matrix4d mat, Vector4d vec)

Parameters

Type	Name	Description
Matrix4d	mat	The desired transformation.
Vector4d	vec	The vector to transform.

Returns

Type	Description
Vector4d	The transformed vector.

TransformColumn(in Matrix4d, in Vector4d, out Vector4d)

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

Declaration

public static void TransformColumn(in Matrix4d mat, in Vector4d vec, out Vector4d result)

Parameters

Type	Name	Description
Matrix4d	mat	The desired transformation.
Vector4d	vec	The vector to transform.
Vector4d	result	The transformed vector.

TransformRow(Vector4d, Matrix4d)

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

Declaration

[Pure]
public static Vector4d TransformRow(Vector4d vec, Matrix4d mat)

Parameters

Type	Name	Description
Vector4d	vec	The vector to transform.
Matrix4d	mat	The desired transformation.

Returns

Type	Description
Vector4d	The transformed vector.

TransformRow(in Vector4d, in Matrix4d, out Vector4d)

Transform a Vector by the given Matrix.

Declaration

public static void TransformRow(in Vector4d vec, in Matrix4d mat, out Vector4d result)

Parameters

Type	Name	Description
Vector4d	vec	The vector to transform.
Matrix4d	mat	The desired transformation.
Vector4d	result	The transformed vector.

Operators

operator +(Vector4d, Vector4d)

Adds two instances.

Declaration

[Pure]
public static Vector4d operator +(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	The first instance.
Vector4d	right	The second instance.

Returns

Type	Description
Vector4d	The result of the calculation.

operator /(Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d operator /(Vector4d vec, Vector4d scale)

Parameters

Type	Name	Description
Vector4d	vec	Left operand.
Vector4d	scale	Right operand.

Returns

Type	Description
Vector4d	Result of the division.

operator /(Vector4d, double)

Divides an instance by a scalar.

Declaration

[Pure]
public static Vector4d operator /(Vector4d vec, double scale)

Parameters

Type	Name	Description
Vector4d	vec	The instance.
double	scale	The scalar.

Returns

Type	Description
Vector4d	The result of the calculation.

operator ==(Vector4d, Vector4d)

Compares two instances for equality.

Declaration

public static bool operator ==(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	The first instance.
Vector4d	right	The second instance.

Returns

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

explicit operator Vector4(Vector4d)

Converts OpenTK.Vector4d to OpenTK.Vector4.

Declaration

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

Parameters

Type	Name	Description
Vector4d	vec	The Vector4d to convert.

Returns

Type	Description
Vector4	The resulting Vector4.

explicit operator Vector4h(Vector4d)

Converts OpenTK.Vector4d to OpenTK.Vector4h.

Declaration

[Pure]
public static explicit operator Vector4h(Vector4d vec)

Parameters

Type	Name	Description
Vector4d	vec	The Vector4d to convert.

Returns

Type	Description
Vector4h	The resulting Vector4h.

explicit operator Vector4i(Vector4d)

Converts OpenTK.Vector4d to OpenTK.Vector4i.

Declaration

[Pure]
public static explicit operator Vector4i(Vector4d vec)

Parameters

Type	Name	Description
Vector4d	vec	The Vector4d to convert.

Returns

Type	Description
Vector4i	The resulting Vector4i.

implicit operator Vector4d((double X, double Y, double Z, double W))

Initializes a new instance of the Vector4d struct using a tuple containing the component values.

Declaration

[Pure]
public static implicit operator Vector4d((double X, double Y, double Z, double W) values)

Parameters

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

Returns

Type	Description
Vector4d	A new instance of the Vector4d struct with the given component values.

operator !=(Vector4d, Vector4d)

Compares two instances for inequality.

Declaration

public static bool operator !=(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	The first instance.
Vector4d	right	The second instance.

Returns

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

operator *(Matrix4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d operator *(Matrix4d mat, Vector4d vec)

Parameters

Type	Name	Description
Matrix4d	mat	The desired transformation.
Vector4d	vec	The vector to transform.

Returns

Type	Description
Vector4d	The transformed vector.

operator *(Quaterniond, Vector4d)

Transforms a vector by a quaternion rotation.

Declaration

[Pure]
public static Vector4d operator *(Quaterniond quat, Vector4d vec)

Parameters

Type	Name	Description
Quaterniond	quat	The quaternion to rotate the vector by.
Vector4d	vec	The vector to transform.

Returns

Type	Description
Vector4d	The transformed vector.

operator *(Vector4d, Matrix4d)

Transform a Vector by the given Matrix.

Declaration

[Pure]
public static Vector4d operator *(Vector4d vec, Matrix4d mat)

Parameters

Type	Name	Description
Vector4d	vec	The vector to transform.
Matrix4d	mat	The desired transformation.

Returns

Type	Description
Vector4d	The transformed vector.

operator *(Vector4d, Vector4d)

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

Declaration

[Pure]
public static Vector4d operator *(Vector4d vec, Vector4d scale)

Parameters

Type	Name	Description
Vector4d	vec	Right operand.
Vector4d	scale	Left operand.

Returns

Type	Description
Vector4d	Result of multiplication.

operator *(Vector4d, double)

Multiplies an instance by a scalar.

Declaration

[Pure]
public static Vector4d operator *(Vector4d vec, double scale)

Parameters

Type	Name	Description
Vector4d	vec	The instance.
double	scale	The scalar.

Returns

Type	Description
Vector4d	The result of the calculation.

operator *(double, Vector4d)

Multiplies an instance by a scalar.

Declaration

[Pure]
public static Vector4d operator *(double scale, Vector4d vec)

Parameters

Type	Name	Description
double	scale	The scalar.
Vector4d	vec	The instance.

Returns

Type	Description
Vector4d	The result of the calculation.

operator -(Vector4d, Vector4d)

Subtracts two instances.

Declaration

[Pure]
public static Vector4d operator -(Vector4d left, Vector4d right)

Parameters

Type	Name	Description
Vector4d	left	The first instance.
Vector4d	right	The second instance.

Returns

Type	Description
Vector4d	The result of the calculation.

operator -(Vector4d)

Negates an instance.

Declaration

[Pure]
public static Vector4d operator -(Vector4d vec)

Parameters

Type	Name	Description
Vector4d	vec	The instance.

Returns

Type	Description
Vector4d	The result of the calculation.

Implements

IEquatable<T>

IFormattable