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Struct Vector4

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

Implements
IEquatable<Vector4>
IFormattable
IAdditionOperators<Vector4, Vector4, Vector4>
ISubtractionOperators<Vector4, Vector4, Vector4>
IUnaryNegationOperators<Vector4, Vector4>
IUnaryPlusOperators<Vector4, Vector4>
IMultiplyOperators<Vector4, float, Vector4>
IMultiplyOperators<Vector4, Vector4, Vector4>
IMultiplyOperators<Vector4, Matrix4x2, Vector2>
IMultiplyOperators<Vector4, Matrix4x3, Vector3>
IMultiplyOperators<Vector4, Matrix4, Vector4>
IDivisionOperators<Vector4, float, Vector4>
IDivisionOperators<Vector4, Vector4, Vector4>
IEqualityOperators<Vector4, Vector4, bool>
IAdditiveIdentity<Vector4, Vector4>
IMultiplicativeIdentity<Vector4, Vector4>
IMinMaxValue<Vector4>
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, IAdditionOperators<Vector4, Vector4, Vector4>, ISubtractionOperators<Vector4, Vector4, Vector4>, IUnaryNegationOperators<Vector4, Vector4>, IUnaryPlusOperators<Vector4, Vector4>, IMultiplyOperators<Vector4, float, Vector4>, IMultiplyOperators<Vector4, Vector4, Vector4>, IMultiplyOperators<Vector4, Matrix4x2, Vector2>, IMultiplyOperators<Vector4, Matrix4x3, Vector3>, IMultiplyOperators<Vector4, Matrix4, Vector4>, IDivisionOperators<Vector4, float, Vector4>, IDivisionOperators<Vector4, Vector4, Vector4>, IEqualityOperators<Vector4, Vector4, bool>, IAdditiveIdentity<Vector4, Vector4>, IMultiplicativeIdentity<Vector4, Vector4>, IMinMaxValue<Vector4>
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

AdditiveIdentity

Gets the additive identity of Vector4. Equivalent to Vector4.Zero.

Declaration
public static Vector4 AdditiveIdentity { get; }
Property Value
Type Description
Vector4

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

MaxValue

Gets the max value for Vector4. Equivalent to Vector4.PositiveInfinity.

Declaration
public static Vector4 MaxValue { get; }
Property Value
Type Description
Vector4

MinValue

Gets the min value for Vector4. Equivalent to Vector4.NegativeInfinity.

Declaration
public static Vector4 MinValue { get; }
Property Value
Type Description
Vector4

MultiplicativeIdentity

Gets the multiplicative identity of Vector4. Equivalent to Vector4.One.

Declaration
public static Vector4 MultiplicativeIdentity { get; }
Property Value
Type Description
Vector4

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 { readonly 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 { readonly 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.

Ceiling()

Returns a new vector were a component-wise ceiling operation has been applied. Equivalent to calling Ceiling(float) on each component.

Declaration
public readonly Vector4 Ceiling()
Returns
Type Description
Vector4

The ceiled vector.

Ceiling(Vector4)

Component-wise ceiling operation. Equivalent to calling Ceiling(float) on each component.

Declaration
[Pure]
public static Vector4 Ceiling(Vector4 vec)
Parameters
Type Name Description
Vector4 vec

The vector to take the ceiling of.

Returns
Type Description
Vector4

The component-wise ceiling vector.

Ceiling(in Vector4, out Vector4)

Component-wise ceiling operation. Equivalent to calling Ceiling(float) on each component.

Declaration
public static void Ceiling(in Vector4 vec, out Vector4 result)
Parameters
Type Name Description
Vector4 vec

The vector to take the ceiling of.

Vector4 result

The component-wise ceiling vector.

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.

ComponentEqual(in Vector4, in Vector4)

Component wise equal comparision of two vectors.

Declaration
public static Vector4b ComponentEqual(in Vector4 left, in Vector4 right)
Parameters
Type Name Description
Vector4 left

The left vector.

Vector4 right

The right vector.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is equal to the right component.

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.

ComponentNotEqual(in Vector4, in Vector4)

Component wise not equal comparision of two vectors.

Declaration
public static Vector4b ComponentNotEqual(in Vector4 left, in Vector4 right)
Parameters
Type Name Description
Vector4 left

The left vector.

Vector4 right

The right vector.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is not equal to the right component.

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.

Distance(Vector4, Vector4)

Compute the euclidean distance between two vectors.

Declaration
[Pure]
public static float Distance(Vector4 vec1, Vector4 vec2)
Parameters
Type Name Description
Vector4 vec1

The first vector.

Vector4 vec2

The second vector.

Returns
Type Description
float

The distance.

Distance(in Vector4, in Vector4, out float)

Compute the euclidean distance between two vectors.

Declaration
public static void Distance(in Vector4 vec1, in Vector4 vec2, out float result)
Parameters
Type Name Description
Vector4 vec1

The first vector.

Vector4 vec2

The second vector.

float result

The distance.

DistanceSquared(Vector4, Vector4)

Compute the squared euclidean distance between two vectors.

Declaration
[Pure]
public static float DistanceSquared(Vector4 vec1, Vector4 vec2)
Parameters
Type Name Description
Vector4 vec1

The first vector.

Vector4 vec2

The second vector.

Returns
Type Description
float

The squared distance.

DistanceSquared(in Vector4, in Vector4, out float)

Compute the squared euclidean distance between two vectors.

Declaration
public static void DistanceSquared(in Vector4 vec1, in Vector4 vec2, out float result)
Parameters
Type Name Description
Vector4 vec1

The first vector.

Vector4 vec2

The second vector.

float result

The squared distance.

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)

Floor()

Returns a new vector were a component-wise floor operation has been applied. Equivalent to calling Floor(float) on each component.

Declaration
public readonly Vector4 Floor()
Returns
Type Description
Vector4

The floored vector.

Floor(Vector4)

Component-wise floor operation. Equivalent to calling Floor(float) on each component.

Declaration
[Pure]
public static Vector4 Floor(Vector4 vec)
Parameters
Type Name Description
Vector4 vec

The vector to take the floor of.

Returns
Type Description
Vector4

The component-wise floored vector.

Floor(in Vector4, out Vector4)

Component-wise floor operation. Equivalent to calling Floor(float) on each component.

Declaration
public static void Floor(in Vector4 vec, out Vector4 result)
Parameters
Type Name Description
Vector4 vec

The vector to take the floor of.

Vector4 result

The component-wise floored vector.

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()

GreaterThan(in Vector4, in Vector4)

Component wise greater than comparision of two vectors.

Declaration
public static Vector4b GreaterThan(in Vector4 left, in Vector4 right)
Parameters
Type Name Description
Vector4 left

The left vector.

Vector4 right

The right vector.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is greater than the right component.

GreaterThanOrEqual(in Vector4, in Vector4)

Component wise greater than or equal comparision of two vectors.

Declaration
public static Vector4b GreaterThanOrEqual(in Vector4 left, in Vector4 right)
Parameters
Type Name Description
Vector4 left

The left vector.

Vector4 right

The right vector.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is greater than or equal to the right component.

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.

LessThan(in Vector4, in Vector4)

Component wise less than comparision of two vectors.

Declaration
public static Vector4b LessThan(in Vector4 left, in Vector4 right)
Parameters
Type Name Description
Vector4 left

The left vector.

Vector4 right

The right vector.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than the right component.

LessThanOrEqual(in Vector4, in Vector4)

Component wise less than or equal comparision of two vectors.

Declaration
public static Vector4b LessThanOrEqual(in Vector4 left, in Vector4 right)
Parameters
Type Name Description
Vector4 left

The left vector.

Vector4 right

The right vector.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than or equal to the right component.

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.

Round()

Returns a new vector were component-wise rounding has been applied. Equivalent to calling Round(float) on each component.

Declaration
public readonly Vector4 Round()
Returns
Type Description
Vector4

The rounded vector.

Round(Vector4)

Component-wise rounding. Equivalent to calling Round(float) on each component.

Declaration
[Pure]
public static Vector4 Round(Vector4 vec)
Parameters
Type Name Description
Vector4 vec

The vector to round.

Returns
Type Description
Vector4

The component-wise rounded vector.

Round(Vector4, MidpointRounding)

Component-wise rounding with specified midpoint rounding rule. Equivalent to calling Round(float, MidpointRounding) on each component.

Declaration
[Pure]
public static Vector4 Round(Vector4 vec, MidpointRounding rounding)
Parameters
Type Name Description
Vector4 vec

The vector to round.

MidpointRounding rounding

The midpoint rounding rule to use.

Returns
Type Description
Vector4

The component-wise rounded vector.

Round(in Vector4, out Vector4)

Component-wise rounding. Equivalent to calling Round(float) on each component.

Declaration
public static void Round(in Vector4 vec, out Vector4 result)
Parameters
Type Name Description
Vector4 vec

The vector to round.

Vector4 result

The component-wise rounded vector.

Round(in Vector4, MidpointRounding, out Vector4)

Component-wise rounding with specified midpoint rounding rule. Equivalent to calling Round(float, MidpointRounding) on each component.

Declaration
public static void Round(in Vector4 vec, MidpointRounding rounding, out Vector4 result)
Parameters
Type Name Description
Vector4 vec

The vector to round.

MidpointRounding rounding

The midpoint rounding rule to use.

Vector4 result

The component-wise rounded vector.

Round(MidpointRounding)

Returns a new vector were component-wise rounding has been applied with the specified midpoint rounding rule. Equivalent to calling Round(float, MidpointRounding) on each component.

Declaration
public readonly Vector4 Round(MidpointRounding rounding)
Parameters
Type Name Description
MidpointRounding rounding

The midpoint rounding rule to use.

Returns
Type Description
Vector4

The rounded vector.

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. Results are undefined for vectors that point in opposite directions or very close to opposite directions.

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. Results are undefined for vectors that point in opposite directions or very close to opposite directions.

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 the 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.

TransformThreeDimensionsColumn(Matrix3x4, Vector4)

Transform a 4-dimensional vector into a 3-dimensional vector using the given 3x4 Matrix.

Declaration
[Pure]
public static Vector3 TransformThreeDimensionsColumn(Matrix3x4 mat, Vector4 vec)
Parameters
Type Name Description
Matrix3x4 mat

The desired transformation.

Vector4 vec

The vector to transform.

Returns
Type Description
Vector3

The transformed vector.

TransformThreeDimensionsColumn(in Matrix3x4, in Vector4, out Vector3)

Transform a 4-dimensional vector into a 3-dimensional vector using the given 3x4 Matrix.

Declaration
public static void TransformThreeDimensionsColumn(in Matrix3x4 mat, in Vector4 vec, out Vector3 result)
Parameters
Type Name Description
Matrix3x4 mat

The desired transformation.

Vector4 vec

The vector to transform.

Vector3 result

The transformed vector.

TransformThreeDimensionsRow(Vector4, Matrix4x3)

Transform a 4-dimensional vector into a 3-dimensional vector using the given 4x3 Matrix.

Declaration
[Pure]
public static Vector3 TransformThreeDimensionsRow(Vector4 vec, Matrix4x3 mat)
Parameters
Type Name Description
Vector4 vec

The vector to transform.

Matrix4x3 mat

The desired transformation.

Returns
Type Description
Vector3

The transformed vector.

TransformThreeDimensionsRow(in Vector4, in Matrix4x3, out Vector3)

Transform a 4-dimensional vector into a 3-dimensional vector using the given 4x3 Matrix.

Declaration
public static void TransformThreeDimensionsRow(in Vector4 vec, in Matrix4x3 mat, out Vector3 result)
Parameters
Type Name Description
Vector4 vec

The vector to transform.

Matrix4x3 mat

The desired transformation.

Vector3 result

The transformed vector.

TransformTwoDimensionsColumn(Matrix2x4, Vector4)

Transform a 4-dimensional vector into a 2-dimensional vector using the given 2x4 Matrix.

Declaration
[Pure]
public static Vector2 TransformTwoDimensionsColumn(Matrix2x4 mat, Vector4 vec)
Parameters
Type Name Description
Matrix2x4 mat

The desired transformation.

Vector4 vec

The vector to transform.

Returns
Type Description
Vector2

The transformed vector.

TransformTwoDimensionsColumn(in Matrix2x4, in Vector4, out Vector2)

Transform a 4-dimensional vector into a 2-dimensional vector using the given 2x4 Matrix.

Declaration
public static void TransformTwoDimensionsColumn(in Matrix2x4 mat, in Vector4 vec, out Vector2 result)
Parameters
Type Name Description
Matrix2x4 mat

The desired transformation.

Vector4 vec

The vector to transform.

Vector2 result

The transformed vector.

TransformTwoDimensionsRow(Vector4, Matrix4x2)

Transform a 4-dimensional vector into a 2-dimensional vector using the given 4x2 Matrix.

Declaration
[Pure]
public static Vector2 TransformTwoDimensionsRow(Vector4 vec, Matrix4x2 mat)
Parameters
Type Name Description
Vector4 vec

The vector to transform.

Matrix4x2 mat

The desired transformation.

Returns
Type Description
Vector2

The transformed vector.

TransformTwoDimensionsRow(in Vector4, in Matrix4x2, out Vector2)

Transform a 4-dimensional vector into a 2-dimensional vector using the given 4x2 Matrix.

Declaration
public static void TransformTwoDimensionsRow(in Vector4 vec, in Matrix4x2 mat, out Vector2 result)
Parameters
Type Name Description
Vector4 vec

The vector to transform.

Matrix4x2 mat

The desired transformation.

Vector2 result

The transformed vector.

Truncate()

Returns a new vector were component-wise truncation has been applied. Equivalent to calling Truncate(float) on each component.

Declaration
public readonly Vector4 Truncate()
Returns
Type Description
Vector4

The truncated vector.

Truncate(Vector4)

Component-wise truncation. Equivalent to calling Truncate(float) on each component.

Declaration
[Pure]
public static Vector4 Truncate(Vector4 vec)
Parameters
Type Name Description
Vector4 vec

The vector to truncate.

Returns
Type Description
Vector4

The component-wise truncated vector.

Truncate(in Vector4, out Vector4)

Component-wise truncation. Equivalent to calling Truncate(float) on each component.

Declaration
public static void Truncate(in Vector4 vec, out Vector4 result)
Parameters
Type Name Description
Vector4 vec

The vector to truncate.

Vector4 result

The component-wise truncated 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, float)

Adds a scalar to an instance.

Declaration
[Pure]
public static Vector4 operator +(Vector4 left, float right)
Parameters
Type Name Description
Vector4 left

The instance.

float right

The scalar.

Returns
Type Description
Vector4

The result of the operation.

operator +(float, Vector4)

Adds a scalar to an instance.

Declaration
[Pure]
public static Vector4 operator +(float left, Vector4 right)
Parameters
Type Name Description
float left

The scalar.

Vector4 right

The instance.

Returns
Type Description
Vector4

The result of the operation.

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

Result of the division.

operator /(float, Vector4)

Divides a scalar by an instance.

Declaration
[Pure]
public static Vector4 operator /(float left, Vector4 right)
Parameters
Type Name Description
float left

The scalar.

Vector4 right

The instance.

Returns
Type Description
Vector4

Result of the division.

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.

explicit operator Vector4(Vector4)

Converts Vector4 to Vector4.

Declaration
[Pure]
public static explicit operator Vector4(Vector4 vec)
Parameters
Type Name Description
Vector4 vec

The Vector4 to cast.

Returns
Type Description
Vector4

explicit operator Vector4(Vector4)

Converts Vector4 to Vector4.

Declaration
[Pure]
public static explicit operator Vector4(Vector4 vec)
Parameters
Type Name Description
Vector4 vec

The Vector4 to cast.

Returns
Type Description
Vector4

operator >(Vector4, Vector4)

Component wise greater than comparision between the specified instances.

Declaration
[Pure]
public static Vector4b operator >(Vector4 left, Vector4 right)
Parameters
Type Name Description
Vector4 left

The left instance.

Vector4 right

The right instance.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding greater component is greater than the right component.

operator >=(Vector4, Vector4)

Component wise greater than or equal comparision between the specified instances.

Declaration
[Pure]
public static Vector4b operator >=(Vector4 left, Vector4 right)
Parameters
Type Name Description
Vector4 left

The left instance.

Vector4 right

The right instance.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is greater than or equal the right component.

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 <(Vector4, Vector4)

Component wise less than comparision between the specified instances.

Declaration
[Pure]
public static Vector4b operator <(Vector4 left, Vector4 right)
Parameters
Type Name Description
Vector4 left

The left instance.

Vector4 right

The right instance.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than the right component.

operator <=(Vector4, Vector4)

Component wise less than or equal comparision between the specified instances.

Declaration
[Pure]
public static Vector4b operator <=(Vector4 left, Vector4 right)
Parameters
Type Name Description
Vector4 left

The left instance.

Vector4 right

The right instance.

Returns
Type Description
Vector4b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than or equal the right component.

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, Matrix4x2)

Transform a 4-dimensional vector into a 2-dimensional vector using the given 4x2 Matrix.

Declaration
[Pure]
public static Vector2 operator *(Vector4 vec, Matrix4x2 mat)
Parameters
Type Name Description
Vector4 vec

The vector to transform.

Matrix4x2 mat

The desired transformation.

Returns
Type Description
Vector2

The transformed vector.

operator *(Vector4, Matrix4x3)

Transform a 4-dimensional vector into a 2-dimensional vector using the given 4x2 Matrix.

Declaration
[Pure]
public static Vector3 operator *(Vector4 vec, Matrix4x3 mat)
Parameters
Type Name Description
Vector4 vec

The vector to transform.

Matrix4x3 mat

The desired transformation.

Returns
Type Description
Vector3

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 the 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, float)

Subtracts an instance by a scalar.

Declaration
[Pure]
public static Vector4 operator -(Vector4 left, float right)
Parameters
Type Name Description
Vector4 left

The instance.

float right

The scalar.

Returns
Type Description
Vector4

The result of the operation.

operator -(float, Vector4)

Subtracts a scalar by an instance.

Declaration
[Pure]
public static Vector4 operator -(float left, Vector4 right)
Parameters
Type Name Description
float left

The scalar.

Vector4 right

The instance.

Returns
Type Description
Vector4

The result of the operation.

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.

operator +(Vector4)

Computes the unary plus of the vector.

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
IAdditionOperators<TSelf, TOther, TResult>
ISubtractionOperators<TSelf, TOther, TResult>
IUnaryNegationOperators<TSelf, TResult>
IUnaryPlusOperators<TSelf, TResult>
IMultiplyOperators<TSelf, TOther, TResult>
IMultiplyOperators<TSelf, TOther, TResult>
IMultiplyOperators<TSelf, TOther, TResult>
IMultiplyOperators<TSelf, TOther, TResult>
IMultiplyOperators<TSelf, TOther, TResult>
IDivisionOperators<TSelf, TOther, TResult>
IDivisionOperators<TSelf, TOther, TResult>
IEqualityOperators<TSelf, TOther, TResult>
IAdditiveIdentity<TSelf, TResult>
IMultiplicativeIdentity<TSelf, TResult>
IMinMaxValue<TSelf>
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