Struct Vector4d

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

Implements
Inherited Members
Namespace: OpenTK.Mathematics
Assembly: OpenTK.Mathematics.dll
Syntax
[Serializable]
public struct Vector4d : IEquatable<Vector4d>, IFormattable, IAdditionOperators<Vector4d, Vector4d, Vector4d>, ISubtractionOperators<Vector4d, Vector4d, Vector4d>, IUnaryNegationOperators<Vector4d, Vector4d>, IUnaryPlusOperators<Vector4d, Vector4d>, IMultiplyOperators<Vector4d, double, Vector4d>, IMultiplyOperators<Vector4d, Vector4d, Vector4d>, IMultiplyOperators<Vector4d, Matrix4x2d, Vector2d>, IMultiplyOperators<Vector4d, Matrix4x3d, Vector3d>, IMultiplyOperators<Vector4d, Matrix4d, Vector4d>, IDivisionOperators<Vector4d, double, Vector4d>, IDivisionOperators<Vector4d, Vector4d, Vector4d>, IEqualityOperators<Vector4d, Vector4d, bool>, IAdditiveIdentity<Vector4d, Vector4d>, IMultiplicativeIdentity<Vector4d, Vector4d>, IMinMaxValue<Vector4d>
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

AdditiveIdentity

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

Declaration
public static Vector4d AdditiveIdentity { get; }
Property Value
Type Description
Vector4d

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

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

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.

MaxValue

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

Declaration
public static Vector4d MaxValue { get; }
Property Value
Type Description
Vector4d

MinValue

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

Declaration
public static Vector4d MinValue { get; }
Property Value
Type Description
Vector4d

MultiplicativeIdentity

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

Declaration
public static Vector4d MultiplicativeIdentity { get; }
Property Value
Type Description
Vector4d

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 { readonly 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 { readonly 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.

Ceiling()

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

Declaration
public readonly Vector4d Ceiling()
Returns
Type Description
Vector4d

The ceiled vector.

Ceiling(Vector4d)

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

Declaration
[Pure]
public static Vector4d Ceiling(Vector4d vec)
Parameters
Type Name Description
Vector4d vec

The vector to take the ceiling of.
Returns
Type Description
Vector4d

The component-wise ceiling vector.

Ceiling(in Vector4d, out Vector4d)

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

Declaration
public static void Ceiling(in Vector4d vec, out Vector4d result)
Parameters
Type Name Description
Vector4d vec

The vector to take the ceiling of.
Vector4d result

The component-wise ceiling vector.

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.

ComponentEqual(in Vector4d, in Vector4d)

Component wise equal comparision of two vectors.

Declaration
public static Vector4b ComponentEqual(in Vector4d left, in Vector4d right)
Parameters
Type Name Description
Vector4d left

The left vector.
Vector4d 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(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.

ComponentNotEqual(in Vector4d, in Vector4d)

Component wise not equal comparision of two vectors.

Declaration
public static Vector4b ComponentNotEqual(in Vector4d left, in Vector4d right)
Parameters
Type Name Description
Vector4d left

The left vector.
Vector4d 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 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.

Distance(Vector4d, Vector4d)

Compute the euclidean distance between two vectors.

Declaration
[Pure]
public static double Distance(Vector4d vec1, Vector4d vec2)
Parameters
Type Name Description
Vector4d vec1

The first vector.
Vector4d vec2

The second vector.
Returns
Type Description
double

The distance.

Distance(in Vector4d, in Vector4d, out double)

Compute the euclidean distance between two vectors.

Declaration
public static void Distance(in Vector4d vec1, in Vector4d vec2, out double result)
Parameters
Type Name Description
Vector4d vec1

The first vector.
Vector4d vec2

The second vector.
double result

The distance.

DistanceSquared(Vector4d, Vector4d)

Compute the squared euclidean distance between two vectors.

Declaration
[Pure]
public static double DistanceSquared(Vector4d vec1, Vector4d vec2)
Parameters
Type Name Description
Vector4d vec1

The first vector.
Vector4d vec2

The second vector.
Returns
Type Description
double

The squared distance.

DistanceSquared(in Vector4d, in Vector4d, out double)

Compute the squared euclidean distance between two vectors.

Declaration
public static void DistanceSquared(in Vector4d vec1, in Vector4d vec2, out double result)
Parameters
Type Name Description
Vector4d vec1

The first vector.
Vector4d vec2

The second vector.
double result

The squared distance.

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(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

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 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

Floor()

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

Declaration
public readonly Vector4d Floor()
Returns
Type Description
Vector4d

The floored vector.

Floor(Vector4d)

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

Declaration
[Pure]
public static Vector4d Floor(Vector4d vec)
Parameters
Type Name Description
Vector4d vec

The vector to take the floor of.
Returns
Type Description
Vector4d

The component-wise floored vector.

Floor(in Vector4d, out Vector4d)

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

Declaration
public static void Floor(in Vector4d vec, out Vector4d result)
Parameters
Type Name Description
Vector4d vec

The vector to take the floor of.
Vector4d 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

GreaterThan(in Vector4d, in Vector4d)

Component wise greater than comparision of two vectors.

Declaration
public static Vector4b GreaterThan(in Vector4d left, in Vector4d right)
Parameters
Type Name Description
Vector4d left

The left vector.
Vector4d 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 Vector4d, in Vector4d)

Component wise greater than or equal comparision of two vectors.

Declaration
public static Vector4b GreaterThanOrEqual(in Vector4d left, in Vector4d right)
Parameters
Type Name Description
Vector4d left

The left vector.
Vector4d 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(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.

LessThan(in Vector4d, in Vector4d)

Component wise less than comparision of two vectors.

Declaration
public static Vector4b LessThan(in Vector4d left, in Vector4d right)
Parameters
Type Name Description
Vector4d left

The left vector.
Vector4d 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 Vector4d, in Vector4d)

Component wise less than or equal comparision of two vectors.

Declaration
public static Vector4b LessThanOrEqual(in Vector4d left, in Vector4d right)
Parameters
Type Name Description
Vector4d left

The left vector.
Vector4d 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(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.

Round()

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

Declaration
public readonly Vector4d Round()
Returns
Type Description
Vector4d

The rounded vector.

Round(Vector4d)

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

Declaration
[Pure]
public static Vector4d Round(Vector4d vec)
Parameters
Type Name Description
Vector4d vec

The vector to round.
Returns
Type Description
Vector4d

The component-wise rounded vector.

Round(Vector4d, MidpointRounding)

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

Declaration
[Pure]
public static Vector4d Round(Vector4d vec, MidpointRounding rounding)
Parameters
Type Name Description
Vector4d vec

The vector to round.
MidpointRounding rounding

The midpoint rounding rule to use.
Returns
Type Description
Vector4d

The component-wise rounded vector.

Round(in Vector4d, out Vector4d)

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

Declaration
public static void Round(in Vector4d vec, out Vector4d result)
Parameters
Type Name Description
Vector4d vec

The vector to round.
Vector4d result

The component-wise rounded vector.

Round(in Vector4d, MidpointRounding, out Vector4d)

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

Declaration
public static void Round(in Vector4d vec, MidpointRounding rounding, out Vector4d result)
Parameters
Type Name Description
Vector4d vec

The vector to round.
MidpointRounding rounding

The midpoint rounding rule to use.
Vector4d 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(double, MidpointRounding) on each component.

Declaration
public readonly Vector4d Round(MidpointRounding rounding)
Parameters
Type Name Description
MidpointRounding rounding

The midpoint rounding rule to use.
Returns
Type Description
Vector4d

The rounded vector.

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

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

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 the 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 readonly string ToString()
Returns
Type Description
string

The fully qualified type name.
Overrides

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(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.

TransformThreeDimensionsColumn(Matrix3x4d, Vector4d)

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

Declaration
[Pure]
public static Vector3d TransformThreeDimensionsColumn(Matrix3x4d mat, Vector4d vec)
Parameters
Type Name Description
Matrix3x4d mat

The desired transformation.
Vector4d vec

The vector to transform.
Returns
Type Description
Vector3d

The transformed vector.

TransformThreeDimensionsColumn(in Matrix3x4d, in Vector4d, out Vector3d)

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

Declaration
public static void TransformThreeDimensionsColumn(in Matrix3x4d mat, in Vector4d vec, out Vector3d result)
Parameters
Type Name Description
Matrix3x4d mat

The desired transformation.
Vector4d vec

The vector to transform.
Vector3d result

The transformed vector.

TransformThreeDimensionsRow(Vector4d, Matrix4x3d)

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

Declaration
[Pure]
public static Vector3d TransformThreeDimensionsRow(Vector4d vec, Matrix4x3d mat)
Parameters
Type Name Description
Vector4d vec

The vector to transform.
Matrix4x3d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed vector.

TransformThreeDimensionsRow(in Vector4d, in Matrix4x3d, out Vector3d)

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

Declaration
public static void TransformThreeDimensionsRow(in Vector4d vec, in Matrix4x3d mat, out Vector3d result)
Parameters
Type Name Description
Vector4d vec

The vector to transform.
Matrix4x3d mat

The desired transformation.
Vector3d result

The transformed vector.

TransformTwoDimensionsColumn(Matrix2x4d, Vector4d)

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

Declaration
[Pure]
public static Vector2d TransformTwoDimensionsColumn(Matrix2x4d mat, Vector4d vec)
Parameters
Type Name Description
Matrix2x4d mat

The desired transformation.
Vector4d vec

The vector to transform.
Returns
Type Description
Vector2d

The transformed vector.

TransformTwoDimensionsColumn(in Matrix2x4d, in Vector4d, out Vector2d)

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

Declaration
public static void TransformTwoDimensionsColumn(in Matrix2x4d mat, in Vector4d vec, out Vector2d result)
Parameters
Type Name Description
Matrix2x4d mat

The desired transformation.
Vector4d vec

The vector to transform.
Vector2d result

The transformed vector.

TransformTwoDimensionsRow(Vector4d, Matrix4x2d)

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

Declaration
[Pure]
public static Vector2d TransformTwoDimensionsRow(Vector4d vec, Matrix4x2d mat)
Parameters
Type Name Description
Vector4d vec

The vector to transform.
Matrix4x2d mat

The desired transformation.
Returns
Type Description
Vector2d

The transformed vector.

TransformTwoDimensionsRow(in Vector4d, in Matrix4x2d, out Vector2d)

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

Declaration
public static void TransformTwoDimensionsRow(in Vector4d vec, in Matrix4x2d mat, out Vector2d result)
Parameters
Type Name Description
Vector4d vec

The vector to transform.
Matrix4x2d mat

The desired transformation.
Vector2d result

The transformed vector.

Truncate()

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

Declaration
public readonly Vector4d Truncate()
Returns
Type Description
Vector4d

The truncated vector.

Truncate(Vector4d)

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

Declaration
[Pure]
public static Vector4d Truncate(Vector4d vec)
Parameters
Type Name Description
Vector4d vec

The vector to truncate.
Returns
Type Description
Vector4d

The component-wise truncated vector.

Truncate(in Vector4d, out Vector4d)

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

Declaration
public static void Truncate(in Vector4d vec, out Vector4d result)
Parameters
Type Name Description
Vector4d vec

The vector to truncate.
Vector4d result

The component-wise truncated 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, double)

Adds a scalar to an instance.

Declaration
[Pure]
public static Vector4d operator +(Vector4d left, double right)
Parameters
Type Name Description
Vector4d left

The instance.
double right

The scalar.
Returns
Type Description
Vector4d

The result of the operation.

operator +(double, Vector4d)

Adds a scalar to an instance.

Declaration
[Pure]
public static Vector4d operator +(double left, Vector4d right)
Parameters
Type Name Description
double left

The scalar.
Vector4d right

The instance.
Returns
Type Description
Vector4d

The result of the operation.

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

Result of the division.

operator /(double, Vector4d)

Divides a scalar by an instance.

Declaration
[Pure]
public static Vector4d operator /(double left, Vector4d right)
Parameters
Type Name Description
double left

The scalar.
Vector4d right

The instance.
Returns
Type Description
Vector4d

Result of the division.

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.

operator >(Vector4d, Vector4d)

Component wise greater than comparision between the specified instances.

Declaration
[Pure]
public static Vector4b operator >(Vector4d left, Vector4d right)
Parameters
Type Name Description
Vector4d left

The left instance.
Vector4d 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 >=(Vector4d, Vector4d)

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

Declaration
[Pure]
public static Vector4b operator >=(Vector4d left, Vector4d right)
Parameters
Type Name Description
Vector4d left

The left instance.
Vector4d 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((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 <(Vector4d, Vector4d)

Component wise less than comparision between the specified instances.

Declaration
[Pure]
public static Vector4b operator <(Vector4d left, Vector4d right)
Parameters
Type Name Description
Vector4d left

The left instance.
Vector4d 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 <=(Vector4d, Vector4d)

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

Declaration
[Pure]
public static Vector4b operator <=(Vector4d left, Vector4d right)
Parameters
Type Name Description
Vector4d left

The left instance.
Vector4d 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 *(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, Matrix4x2d)

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

Declaration
public static Vector2d operator *(Vector4d vec, Matrix4x2d mat)
Parameters
Type Name Description
Vector4d vec

The vector to transform.
Matrix4x2d mat

The desired transformation.
Returns
Type Description
Vector2d

The transformed vector.

operator *(Vector4d, Matrix4x3d)

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

Declaration
public static Vector3d operator *(Vector4d vec, Matrix4x3d mat)
Parameters
Type Name Description
Vector4d vec

The vector to transform.
Matrix4x3d mat

The desired transformation.
Returns
Type Description
Vector3d

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 the 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, double)

Subtracts an instance by a scalar.

Declaration
[Pure]
public static Vector4d operator -(Vector4d left, double right)
Parameters
Type Name Description
Vector4d left

The instance.
double right

The scalar.
Returns
Type Description
Vector4d

The result of the operation.

operator -(double, Vector4d)

Subtracts a scalar by an instance.

Declaration
[Pure]
public static Vector4d operator -(double left, Vector4d right)
Parameters
Type Name Description
double left

The scalar.
Vector4d right

The instance.
Returns
Type Description
Vector4d

The result of the operation.

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.

operator +(Vector4d)

Computes the unary plus of the vector.

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