Double3 Struct

Namespace: Stride.Core.Mathematics
Assembly: Stride.Core.Mathematics.dll

Represents a three dimensional mathematical vector with double-precision floats.

[DataContract("double3")]
[DataStyle(DataStyle.Compact)]
public struct Double3 : IEquatable<Double3>, IFormattable

Name		Description
Constructors
	Double3(Double2, Double)	Initializes a new instance of the Double3 struct.
	Double3(Vector3)	Initializes a new instance of the Double3 struct.
	Double3(Double)	Initializes a new instance of the Double3 struct.
	Double3(Double, Double, Double)	Initializes a new instance of the Double3 struct.
	Double3(Double[])	Initializes a new instance of the Double3 struct.
Fields
	One	A Double3 with all of its components set to one.
	SizeInBytes	The size of the Double3 type, in bytes.
	UnitX	The X unit Double3 (1, 0, 0).
	UnitY	The Y unit Double3 (0, 1, 0).
	UnitZ	The Z unit Double3 (0, 0, 1).
	X	The X component of the vector.
	Y	The Y component of the vector.
	Z	The Z component of the vector.
	Zero	A Double3 with all of its components set to zero.
Properties
	IsNormalized	Gets a value indicting whether this instance is normalized.
	Item[Int32]	Gets or sets the component at the specified index.
Methods
	Add(Double3, Double3)	Adds two vectors.
	Add(ref Double3, ref Double3, out Double3)	Adds two vectors.
	Barycentric(Double3, Double3, Double3, Double, Double)	Returns a Double3 containing the 3D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 3D triangle.
	Barycentric(ref Double3, ref Double3, ref Double3, Double, Double, out Double3)	Returns a Double3 containing the 3D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 3D triangle.
	CatmullRom(Double3, Double3, Double3, Double3, Double)	Performs a Catmull-Rom interpolation using the specified positions.
	CatmullRom(ref Double3, ref Double3, ref Double3, ref Double3, Double, out Double3)	Performs a Catmull-Rom interpolation using the specified positions.
	Clamp(Double3, Double3, Double3)	Restricts a value to be within a specified range.
	Clamp(ref Double3, ref Double3, ref Double3, out Double3)	Restricts a value to be within a specified range.
	Cross(Double3, Double3)	Calculates the cross product of two vectors.
	Cross(ref Double3, ref Double3, out Double3)	Calculates the cross product of two vectors.
	Demodulate(Double3, Double3)	Demodulates a vector with another by performing component-wise division.
	Demodulate(ref Double3, ref Double3, out Double3)	Demodulates a vector with another by performing component-wise division.
	Distance(Double3, Double3)	Calculates the distance between two vectors.
	Distance(ref Double3, ref Double3, out Double)	Calculates the distance between two vectors.
	DistanceSquared(Double3, Double3)	Calculates the squared distance between two vectors.
	DistanceSquared(ref Double3, ref Double3, out Double)	Calculates the squared distance between two vectors.
	Divide(Double3, Double)	Scales a vector by the given value.
	Divide(ref Double3, Double, out Double3)	Scales a vector by the given value.
	Dot(Double3, Double3)	Calculates the dot product of two vectors.
	Dot(ref Double3, ref Double3, out Double)	Calculates the dot product of two vectors.
	Equals(Double3)	Determines whether the specified Double3 is equal to this instance.
	Equals(Object)	Determines whether the specified System.Object is equal to this instance.
	GetHashCode()	Returns a hash code for this instance.
	Hermite(Double3, Double3, Double3, Double3, Double)	Performs a Hermite spline interpolation.
	Hermite(ref Double3, ref Double3, ref Double3, ref Double3, Double, out Double3)	Performs a Hermite spline interpolation.
	Length()	Calculates the length of the vector.
	LengthSquared()	Calculates the squared length of the vector.
	Lerp(Double3, Double3, Double)	Performs a linear interpolation between two vectors.
	Lerp(ref Double3, ref Double3, Double, out Double3)	Performs a linear interpolation between two vectors.
	Max(Double3, Double3)	Returns a vector containing the largest components of the specified vectors.
	Max(ref Double3, ref Double3, out Double3)	Returns a vector containing the smallest components of the specified vectors.
	Min(Double3, Double3)	Returns a vector containing the smallest components of the specified vectors.
	Min(ref Double3, ref Double3, out Double3)	Returns a vector containing the smallest components of the specified vectors.
	Modulate(Double3, Double3)	Modulates a vector with another by performing component-wise multiplication.
	Modulate(ref Double3, ref Double3, out Double3)	Modulates a vector with another by performing component-wise multiplication.
	Multiply(Double3, Double)	Scales a vector by the given value.
	Multiply(ref Double3, Double, out Double3)	Scales a vector by the given value.
	NearEqual(Double3, Double3, Double3)	Tests whether one 3D vector is near another 3D vector.
	NearEqual(ref Double3, ref Double3, ref Double3)	Tests whether one 3D vector is near another 3D vector.
	Negate(Double3)	Reverses the direction of a given vector.
	Negate(ref Double3, out Double3)	Reverses the direction of a given vector.
	Normalize()	Converts the vector into a unit vector.
	Normalize(Double3)	Converts the vector into a unit vector.
	Normalize(ref Double3, out Double3)	Converts the vector into a unit vector.
	Orthogonalize(Double3[], Double3[])	Orthogonalizes a list of vectors.
	Orthonormalize(Double3[], Double3[])	Orthonormalizes a list of vectors.
	Pow(Double)	Raises the exponent for each components.
	Project(Double3, Double, Double, Double, Double, Double, Double, Matrix)	Projects a 3D vector from object space into screen space.
	Project(ref Double3, Double, Double, Double, Double, Double, Double, ref Matrix, out Double3)	Projects a 3D vector from object space into screen space.
	Reflect(Double3, Double3)	Returns the reflection of a vector off a surface that has the specified normal.
	Reflect(ref Double3, ref Double3, out Double3)	Returns the reflection of a vector off a surface that has the specified normal.
	RotationYawPitchRoll(Quaternion)	Calculate the yaw/pitch/roll rotation equivalent to the provided quaterion.
	RotationYawPitchRoll(ref Quaternion, out Double3)	Calculate the yaw/pitch/roll rotation equivalent to the provided quaterion.
	SmoothStep(Double3, Double3, Double)	Performs a cubic interpolation between two vectors.
	SmoothStep(ref Double3, ref Double3, Double, out Double3)	Performs a cubic interpolation between two vectors.
	Subtract(Double3, Double3)	Subtracts two vectors.
	Subtract(ref Double3, ref Double3, out Double3)	Subtracts two vectors.
	ToArray()	Creates an array containing the elements of the vector.
	ToString()	Returns a System.String that represents this instance.
	ToString(IFormatProvider)	Returns a System.String that represents this instance.
	ToString(String)	Returns a System.String that represents this instance.
	ToString(String, IFormatProvider)	Returns a System.String that represents this instance.
	Transform(Double3, Matrix)	Transforms a 3D vector by the given Matrix.
	Transform(Double3, Quaternion)	Transforms a 3D vector by the given Quaternion rotation.
	Transform(ref Double3, ref Matrix, out Double3)	Transforms a 3D vector by the given Matrix.
	Transform(ref Double3, ref Matrix, out Double4)	Transforms a 3D vector by the given Matrix.
	Transform(ref Double3, ref Quaternion, out Double3)	Transforms a 3D vector by the given Quaternion rotation.
	Transform(Double3[], ref Matrix, Double4[])	Transforms an array of 3D vectors by the given Matrix.
	Transform(Double3[], ref Quaternion, Double3[])	Transforms an array of vectors by the given Quaternion rotation.
	TransformCoordinate(Double3, Matrix)	Performs a coordinate transformation using the given Matrix.
	TransformCoordinate(ref Double3, ref Matrix, out Double3)	Performs a coordinate transformation using the given Matrix.
	TransformCoordinate(Double3[], ref Matrix, Double3[])	Performs a coordinate transformation on an array of vectors using the given Matrix.
	TransformNormal(Double3, Matrix)	Performs a normal transformation using the given Matrix.
	TransformNormal(ref Double3, ref Matrix, out Double3)	Performs a normal transformation using the given Matrix.
	TransformNormal(Double3[], ref Matrix, Double3[])	Performs a normal transformation on an array of vectors using the given Matrix.
	Unproject(Double3, Double, Double, Double, Double, Double, Double, Matrix)	Projects a 3D vector from screen space into object space.
	Unproject(ref Double3, Double, Double, Double, Double, Double, Double, ref Matrix, out Double3)	Projects a 3D vector from screen space into object space.
Operators
	Addition(Double3, Double3)	Adds two vectors.
	Addition(Double3, Double)	Adds a vector with the given value.
	Division(Double3, Double3)	Divides a vector by the given vector, component-wise.
	Division(Double3, Double)	Scales a vector by the given value.
	Division(Double, Double3)	Divides a numerator by a vector.
	Equality(Double3, Double3)	Tests for equality between two objects.
	Explicit(Double3 to Double2)	Performs an explicit conversion from Double3 to Double2.
	Explicit(Double3 to Double4)	Performs an explicit conversion from Double3 to Double4.
	Explicit(Double3 to Half3)	Performs an explicit conversion from Double3 to Half3.
	Explicit(Double3 to Vector3)	Performs an explicit conversion from Double3 to Vector3.
	Explicit(Half3 to Double3)	Performs an explicit conversion from Half3 to Double3.
	Implicit(Vector3 to Double3)	Performs an implicit conversion from Vector3 to Double3.
	Inequality(Double3, Double3)	Tests for inequality between two objects.
	Multiply(Double3, Double3)	Modulates a vector with another by performing component-wise multiplication.
	Multiply(Double3, Double)	Scales a vector by the given value.
	Multiply(Double, Double3)	Scales a vector by the given value.
	Subtraction(Double3, Double3)	Subtracts two vectors.
	Subtraction(Double3, Double)	Substracts a vector by the given value.
	UnaryNegation(Double3)	Reverses the direction of a given vector.
	UnaryPlus(Double3)	Assert a vector (return it unchanged).

| Improve this Doc View Source

Constructors

Double3(Double2, Double)

Initializes a new instance of the Double3 struct.

public Double3(Double2 value, double z)

Parameters

Type	Name	Description
Double2	value	A vector containing the values with which to initialize the X and Y components.
System.Double	z	Initial value for the Z component of the vector.

Double3(Vector3)

Initializes a new instance of the Double3 struct.

public Double3(Vector3 v)

Parameters

Type	Name	Description
Vector3	v	The Vector3 to construct the Double3 from.

Double3(Double)

Initializes a new instance of the Double3 struct.

public Double3(double value)

Parameters

Type	Name	Description
System.Double	value	The value that will be assigned to all components.

Double3(Double, Double, Double)

Initializes a new instance of the Double3 struct.

public Double3(double x, double y, double z)

Parameters

Type	Name	Description
System.Double	x	Initial value for the X component of the vector.
System.Double	y	Initial value for the Y component of the vector.
System.Double	z	Initial value for the Z component of the vector.

Double3(Double[])

Initializes a new instance of the Double3 struct.

public Double3(double[] values)

Parameters

Type	Name	Description
System.Double[]	values	The values to assign to the X, Y, and Z components of the vector. This must be an array with three elements.

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `values` is `null`.
System.ArgumentOutOfRangeException	Thrown when `values` contains more or less than three elements.

| Improve this Doc View Source

Fields

One

A Double3 with all of its components set to one.

public static readonly Double3 One

Field Value

Type	Description
Double3

SizeInBytes

The size of the Double3 type, in bytes.

public static readonly int SizeInBytes

Field Value

Type	Description
System.Int32

UnitX

The X unit Double3 (1, 0, 0).

public static readonly Double3 UnitX

Field Value

Type	Description
Double3

UnitY

The Y unit Double3 (0, 1, 0).

public static readonly Double3 UnitY

Field Value

Type	Description
Double3

UnitZ

The Z unit Double3 (0, 0, 1).

public static readonly Double3 UnitZ

Field Value

Type	Description
Double3

X

The X component of the vector.

[DataMember(0)]
public double X

Field Value

Type	Description
System.Double

Y

The Y component of the vector.

[DataMember(1)]
public double Y

Field Value

Type	Description
System.Double

Z

The Z component of the vector.

[DataMember(2)]
public double Z

Field Value

Type	Description
System.Double

Zero

A Double3 with all of its components set to zero.

public static readonly Double3 Zero

Field Value

Type	Description
Double3

| Improve this Doc View Source

Properties

IsNormalized

Gets a value indicting whether this instance is normalized.

public readonly bool IsNormalized { get; }

Property Value

Type	Description
System.Boolean

Item[Int32]

Gets or sets the component at the specified index.

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

Parameters

Type	Name	Description
System.Int32	index	The index of the component to access. Use 0 for the X component, 1 for the Y component, and 2 for the Z component.

Property Value

Type	Description
System.Double	The value of the X, Y, or Z component, depending on the index.

Exceptions

Type	Condition
System.ArgumentOutOfRangeException	Thrown when the `index` is out of the range [0, 2].

| Improve this Doc View Source

Methods

Add(Double3, Double3)

Adds two vectors.

public static Double3 Add(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to add.
Double3	right	The second vector to add.

Returns

Type	Description
Double3	The sum of the two vectors.

Add(ref Double3, ref Double3, out Double3)

Adds two vectors.

public static void Add(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	The first vector to add.
Double3	right	The second vector to add.
Double3	result	When the method completes, contains the sum of the two vectors.

Barycentric(Double3, Double3, Double3, Double, Double)

Returns a Double3 containing the 3D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 3D triangle.

public static Double3 Barycentric(Double3 value1, Double3 value2, Double3 value3, double amount1, double amount2)

Parameters

Type	Name	Description
Double3	value1	A Double3 containing the 3D Cartesian coordinates of vertex 1 of the triangle.
Double3	value2	A Double3 containing the 3D Cartesian coordinates of vertex 2 of the triangle.
Double3	value3	A Double3 containing the 3D Cartesian coordinates of vertex 3 of the triangle.
System.Double	amount1	Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in `value2`).
System.Double	amount2	Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in `value3`).

Returns

Type	Description
Double3	A new Double3 containing the 3D Cartesian coordinates of the specified point.

Barycentric(ref Double3, ref Double3, ref Double3, Double, Double, out Double3)

Returns a Double3 containing the 3D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 3D triangle.

public static void Barycentric(ref Double3 value1, ref Double3 value2, ref Double3 value3, double amount1, double amount2, out Double3 result)

Parameters

Type	Name	Description
Double3	value1	A Double3 containing the 3D Cartesian coordinates of vertex 1 of the triangle.
Double3	value2	A Double3 containing the 3D Cartesian coordinates of vertex 2 of the triangle.
Double3	value3	A Double3 containing the 3D Cartesian coordinates of vertex 3 of the triangle.
System.Double	amount1	Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in `value2`).
System.Double	amount2	Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in `value3`).
Double3	result	When the method completes, contains the 3D Cartesian coordinates of the specified point.

CatmullRom(Double3, Double3, Double3, Double3, Double)

Performs a Catmull-Rom interpolation using the specified positions.

public static Double3 CatmullRom(Double3 value1, Double3 value2, Double3 value3, Double3 value4, double amount)

Parameters

Type	Name	Description
Double3	value1	The first position in the interpolation.
Double3	value2	The second position in the interpolation.
Double3	value3	The third position in the interpolation.
Double3	value4	The fourth position in the interpolation.
System.Double	amount	Weighting factor.

Returns

Type	Description
Double3	A vector that is the result of the Catmull-Rom interpolation.

CatmullRom(ref Double3, ref Double3, ref Double3, ref Double3, Double, out Double3)

Performs a Catmull-Rom interpolation using the specified positions.

public static void CatmullRom(ref Double3 value1, ref Double3 value2, ref Double3 value3, ref Double3 value4, double amount, out Double3 result)

Parameters

Type	Name	Description
Double3	value1	The first position in the interpolation.
Double3	value2	The second position in the interpolation.
Double3	value3	The third position in the interpolation.
Double3	value4	The fourth position in the interpolation.
System.Double	amount	Weighting factor.
Double3	result	When the method completes, contains the result of the Catmull-Rom interpolation.

Clamp(Double3, Double3, Double3)

Restricts a value to be within a specified range.

public static Double3 Clamp(Double3 value, Double3 min, Double3 max)

Parameters

Type	Name	Description
Double3	value	The value to clamp.
Double3	min	The minimum value.
Double3	max	The maximum value.

Returns

Type	Description
Double3	The clamped value.

Clamp(ref Double3, ref Double3, ref Double3, out Double3)

Restricts a value to be within a specified range.

public static void Clamp(ref Double3 value, ref Double3 min, ref Double3 max, out Double3 result)

Parameters

Type	Name	Description
Double3	value	The value to clamp.
Double3	min	The minimum value.
Double3	max	The maximum value.
Double3	result	When the method completes, contains the clamped value.

Cross(Double3, Double3)

Calculates the cross product of two vectors.

public static Double3 Cross(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	First source vector.
Double3	right	Second source vector.

Returns

Type	Description
Double3	The cross product of the two vectors.

Cross(ref Double3, ref Double3, out Double3)

Calculates the cross product of two vectors.

public static void Cross(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	First source vector.
Double3	right	Second source vector.
Double3	result	When the method completes, contains he cross product of the two vectors.

Demodulate(Double3, Double3)

Demodulates a vector with another by performing component-wise division.

public static Double3 Demodulate(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to demodulate.
Double3	right	The second vector to demodulate.

Returns

Type	Description
Double3	The demodulated vector.

Demodulate(ref Double3, ref Double3, out Double3)

Demodulates a vector with another by performing component-wise division.

public static void Demodulate(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	The first vector to demodulate.
Double3	right	The second vector to demodulate.
Double3	result	When the method completes, contains the demodulated vector.

Distance(Double3, Double3)

Calculates the distance between two vectors.

public static double Distance(Double3 value1, Double3 value2)

Parameters

Type	Name	Description
Double3	value1	The first vector.
Double3	value2	The second vector.

Returns

Type	Description
System.Double	The distance between the two vectors.

Remarks

DistanceSquared(Double3, Double3) may be preferred when only the relative distance is needed and speed is of the essence.

Distance(ref Double3, ref Double3, out Double)

Calculates the distance between two vectors.

public static void Distance(ref Double3 value1, ref Double3 value2, out double result)

Parameters

Type	Name	Description
Double3	value1	The first vector.
Double3	value2	The second vector.
System.Double	result	When the method completes, contains the distance between the two vectors.

Remarks

DistanceSquared(ref Double3, ref Double3, out Double) may be preferred when only the relative distance is needed and speed is of the essence.

DistanceSquared(Double3, Double3)

Calculates the squared distance between two vectors.

public static double DistanceSquared(Double3 value1, Double3 value2)

Parameters

Type	Name	Description
Double3	value1	The first vector.
Double3	value2	The second vector.

Returns

Type	Description
System.Double	The squared distance between the two vectors.

Remarks

Distance squared is the value before taking the square root. Distance squared can often be used in place of distance if relative comparisons are being made. For example, consider three points A, B, and C. To determine whether B or C is further from A, compare the distance between A and B to the distance between A and C. Calculating the two distances involves two square roots, which are computationally expensive. However, using distance squared provides the same information and avoids calculating two square roots.

DistanceSquared(ref Double3, ref Double3, out Double)

Calculates the squared distance between two vectors.

public static void DistanceSquared(ref Double3 value1, ref Double3 value2, out double result)

Parameters

Type	Name	Description
Double3	value1	The first vector.
Double3	value2	The second vector.
System.Double	result	When the method completes, contains the squared distance between the two vectors.

Remarks

Divide(Double3, Double)

Scales a vector by the given value.

public static Double3 Divide(Double3 value, double scale)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double3	The scaled vector.

Divide(ref Double3, Double, out Double3)

Scales a vector by the given value.

public static void Divide(ref Double3 value, double scale, out Double3 result)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.
Double3	result	When the method completes, contains the scaled vector.

Dot(Double3, Double3)

Calculates the dot product of two vectors.

public static double Dot(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	First source vector.
Double3	right	Second source vector.

Returns

Type	Description
System.Double	The dot product of the two vectors.

Dot(ref Double3, ref Double3, out Double)

Calculates the dot product of two vectors.

public static void Dot(ref Double3 left, ref Double3 right, out double result)

Parameters

Type	Name	Description
Double3	left	First source vector.
Double3	right	Second source vector.
System.Double	result	When the method completes, contains the dot product of the two vectors.

Equals(Double3)

Determines whether the specified Double3 is equal to this instance.

public bool Equals(Double3 other)

Parameters

Type	Name	Description
Double3	other	The Double3 to compare with this instance.

Returns

Type	Description
System.Boolean	`true` if the specified Double3 is equal to this instance; otherwise, `false`.

Equals(Object)

Determines whether the specified System.Object is equal to this instance.

public override bool Equals(object value)

Parameters

Type	Name	Description
System.Object	value	The System.Object to compare with this instance.

Returns

Type	Description
System.Boolean	`true` if the specified System.Object is equal to this instance; otherwise, `false`.

Overrides

System.ValueType.Equals(System.Object)

GetHashCode()

Returns a hash code for this instance.

public override int GetHashCode()

Returns

Type	Description
System.Int32	A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.

Overrides

System.ValueType.GetHashCode()

Hermite(Double3, Double3, Double3, Double3, Double)

Performs a Hermite spline interpolation.

public static Double3 Hermite(Double3 value1, Double3 tangent1, Double3 value2, Double3 tangent2, double amount)

Parameters

Type	Name	Description
Double3	value1	First source position vector.
Double3	tangent1	First source tangent vector.
Double3	value2	Second source position vector.
Double3	tangent2	Second source tangent vector.
System.Double	amount	Weighting factor.

Returns

Type	Description
Double3	The result of the Hermite spline interpolation.

Hermite(ref Double3, ref Double3, ref Double3, ref Double3, Double, out Double3)

Performs a Hermite spline interpolation.

public static void Hermite(ref Double3 value1, ref Double3 tangent1, ref Double3 value2, ref Double3 tangent2, double amount, out Double3 result)

Parameters

Type	Name	Description
Double3	value1	First source position vector.
Double3	tangent1	First source tangent vector.
Double3	value2	Second source position vector.
Double3	tangent2	Second source tangent vector.
System.Double	amount	Weighting factor.
Double3	result	When the method completes, contains the result of the Hermite spline interpolation.

Length()

Calculates the length of the vector.

public double Length()

Returns

Type	Description
System.Double	The length of the vector.

Remarks

LengthSquared() may be preferred when only the relative length is needed and speed is of the essence.

LengthSquared()

Calculates the squared length of the vector.

public double LengthSquared()

Returns

Type	Description
System.Double	The squared length of the vector.

Remarks

This method may be preferred to Length() when only a relative length is needed and speed is of the essence.

Lerp(Double3, Double3, Double)

Performs a linear interpolation between two vectors.

public static Double3 Lerp(Double3 start, Double3 end, double amount)

Parameters

Type	Name	Description
Double3	start	Start vector.
Double3	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.

Returns

Type	Description
Double3	The linear interpolation of the two vectors.

Remarks

This method performs the linear interpolation based on the following formula.

start + (end - start) * amount

Passing amount a value of 0 will cause start to be returned; a value of 1 will cause end to be returned.

Lerp(ref Double3, ref Double3, Double, out Double3)

Performs a linear interpolation between two vectors.

public static void Lerp(ref Double3 start, ref Double3 end, double amount, out Double3 result)

Parameters

Type	Name	Description
Double3	start	Start vector.
Double3	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.
Double3	result	When the method completes, contains the linear interpolation of the two vectors.

Remarks

This method performs the linear interpolation based on the following formula.

start + (end - start) * amount

Passing amount a value of 0 will cause start to be returned; a value of 1 will cause end to be returned.

Max(Double3, Double3)

Returns a vector containing the largest components of the specified vectors.

public static Double3 Max(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first source vector.
Double3	right	The second source vector.

Returns

Type	Description
Double3	A vector containing the largest components of the source vectors.

Max(ref Double3, ref Double3, out Double3)

Returns a vector containing the smallest components of the specified vectors.

public static void Max(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	The first source vector.
Double3	right	The second source vector.
Double3	result	When the method completes, contains an new vector composed of the largest components of the source vectors.

Min(Double3, Double3)

Returns a vector containing the smallest components of the specified vectors.

public static Double3 Min(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first source vector.
Double3	right	The second source vector.

Returns

Type	Description
Double3	A vector containing the smallest components of the source vectors.

Min(ref Double3, ref Double3, out Double3)

Returns a vector containing the smallest components of the specified vectors.

public static void Min(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	The first source vector.
Double3	right	The second source vector.
Double3	result	When the method completes, contains an new vector composed of the smallest components of the source vectors.

Modulate(Double3, Double3)

Modulates a vector with another by performing component-wise multiplication.

public static Double3 Modulate(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to modulate.
Double3	right	The second vector to modulate.

Returns

Type	Description
Double3	The modulated vector.

Modulate(ref Double3, ref Double3, out Double3)

Modulates a vector with another by performing component-wise multiplication.

public static void Modulate(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	The first vector to modulate.
Double3	right	The second vector to modulate.
Double3	result	When the method completes, contains the modulated vector.

Multiply(Double3, Double)

Scales a vector by the given value.

public static Double3 Multiply(Double3 value, double scale)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double3	The scaled vector.

Multiply(ref Double3, Double, out Double3)

Scales a vector by the given value.

public static void Multiply(ref Double3 value, double scale, out Double3 result)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.
Double3	result	When the method completes, contains the scaled vector.

NearEqual(Double3, Double3, Double3)

Tests whether one 3D vector is near another 3D vector.

public static bool NearEqual(Double3 left, Double3 right, Double3 epsilon)

Parameters

Type	Name	Description
Double3	left	The left vector.
Double3	right	The right vector.
Double3	epsilon	The epsilon.

Returns

Type	Description
System.Boolean	`true` if left and right are near another 3D, `false` otherwise

NearEqual(ref Double3, ref Double3, ref Double3)

Tests whether one 3D vector is near another 3D vector.

public static bool NearEqual(ref Double3 left, ref Double3 right, ref Double3 epsilon)

Parameters

Type	Name	Description
Double3	left	The left vector.
Double3	right	The right vector.
Double3	epsilon	The epsilon.

Returns

Type	Description
System.Boolean	`true` if left and right are near another 3D, `false` otherwise

Negate(Double3)

Reverses the direction of a given vector.

public static Double3 Negate(Double3 value)

Parameters

Type	Name	Description
Double3	value	The vector to negate.

Returns

Type	Description
Double3	A vector facing in the opposite direction.

Negate(ref Double3, out Double3)

Reverses the direction of a given vector.

public static void Negate(ref Double3 value, out Double3 result)

Parameters

Type	Name	Description
Double3	value	The vector to negate.
Double3	result	When the method completes, contains a vector facing in the opposite direction.

Normalize()

Converts the vector into a unit vector.

public void Normalize()

Normalize(Double3)

Converts the vector into a unit vector.

public static Double3 Normalize(Double3 value)

Parameters

Type	Name	Description
Double3	value	The vector to normalize.

Returns

Type	Description
Double3	The normalized vector.

Normalize(ref Double3, out Double3)

Converts the vector into a unit vector.

public static void Normalize(ref Double3 value, out Double3 result)

Parameters

Type	Name	Description
Double3	value	The vector to normalize.
Double3	result	When the method completes, contains the normalized vector.

Orthogonalize(Double3[], Double3[])

Orthogonalizes a list of vectors.

public static void Orthogonalize(Double3[] destination, params Double3[] source)

Parameters

Type	Name	Description
Double3[]	destination	The list of orthogonalized vectors.
Double3[]	source	The list of vectors to orthogonalize.

Remarks

Orthogonalization is the process of making all vectors orthogonal to each other. This means that any given vector in the list will be orthogonal to any other given vector in the list.

Because this method uses the modified Gram-Schmidt process, the resulting vectors tend to be numerically unstable. The numeric stability decreases according to the vectors position in the list so that the first vector is the most stable and the last vector is the least stable.

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `source` or `destination` is `null`.
System.ArgumentOutOfRangeException	Thrown when `destination` is shorter in length than `source`.

Orthonormalize(Double3[], Double3[])

Orthonormalizes a list of vectors.

public static void Orthonormalize(Double3[] destination, params Double3[] source)

Parameters

Type	Name	Description
Double3[]	destination	The list of orthonormalized vectors.
Double3[]	source	The list of vectors to orthonormalize.

Remarks

Orthonormalization is the process of making all vectors orthogonal to each other and making all vectors of unit length. This means that any given vector will be orthogonal to any other given vector in the list.

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `source` or `destination` is `null`.
System.ArgumentOutOfRangeException	Thrown when `destination` is shorter in length than `source`.

Pow(Double)

Raises the exponent for each components.

public void Pow(double exponent)

Parameters

Type	Name	Description
System.Double	exponent	The exponent.

Project(Double3, Double, Double, Double, Double, Double, Double, Matrix)

Projects a 3D vector from object space into screen space.

public static Double3 Project(Double3 vector, double x, double y, double width, double height, double minZ, double maxZ, Matrix worldViewProjection)

Parameters

Type	Name	Description
Double3	vector	The vector to project.
System.Double	x	The X position of the viewport.
System.Double	y	The Y position of the viewport.
System.Double	width	The width of the viewport.
System.Double	height	The height of the viewport.
System.Double	minZ	The minimum depth of the viewport.
System.Double	maxZ	The maximum depth of the viewport.
Matrix	worldViewProjection	The combined world-view-projection matrix.

Returns

Type	Description
Double3	The vector in screen space.

Project(ref Double3, Double, Double, Double, Double, Double, Double, ref Matrix, out Double3)

Projects a 3D vector from object space into screen space.

public static void Project(ref Double3 vector, double x, double y, double width, double height, double minZ, double maxZ, ref Matrix worldViewProjection, out Double3 result)

Parameters

Type	Name	Description
Double3	vector	The vector to project.
System.Double	x	The X position of the viewport.
System.Double	y	The Y position of the viewport.
System.Double	width	The width of the viewport.
System.Double	height	The height of the viewport.
System.Double	minZ	The minimum depth of the viewport.
System.Double	maxZ	The maximum depth of the viewport.
Matrix	worldViewProjection	The combined world-view-projection matrix.
Double3	result	When the method completes, contains the vector in screen space.

Reflect(Double3, Double3)

Returns the reflection of a vector off a surface that has the specified normal.

public static Double3 Reflect(Double3 vector, Double3 normal)

Parameters

Type	Name	Description
Double3	vector	The source vector.
Double3	normal	Normal of the surface.

Returns

Type	Description
Double3	The reflected vector.

Remarks

Reflect only gives the direction of a reflection off a surface, it does not determine whether the original vector was close enough to the surface to hit it.

Reflect(ref Double3, ref Double3, out Double3)

Returns the reflection of a vector off a surface that has the specified normal.

public static void Reflect(ref Double3 vector, ref Double3 normal, out Double3 result)

Parameters

Type	Name	Description
Double3	vector	The source vector.
Double3	normal	Normal of the surface.
Double3	result	When the method completes, contains the reflected vector.

Remarks

Reflect only gives the direction of a reflection off a surface, it does not determine whether the original vector was close enough to the surface to hit it.

RotationYawPitchRoll(Quaternion)

Calculate the yaw/pitch/roll rotation equivalent to the provided quaterion.

public static Double3 RotationYawPitchRoll(Quaternion quaternion)

Parameters

Type	Name	Description
Quaternion	quaternion	The input rotation as quaternion

Returns

Type	Description
Double3	The equivation yaw/pitch/roll rotation

RotationYawPitchRoll(ref Quaternion, out Double3)

Calculate the yaw/pitch/roll rotation equivalent to the provided quaterion.

public static void RotationYawPitchRoll(ref Quaternion quaternion, out Double3 yawPitchRoll)

Parameters

Type	Name	Description
Quaternion	quaternion	The input rotation as quaternion
Double3	yawPitchRoll	The equivation yaw/pitch/roll rotation

SmoothStep(Double3, Double3, Double)

Performs a cubic interpolation between two vectors.

public static Double3 SmoothStep(Double3 start, Double3 end, double amount)

Parameters

Type	Name	Description
Double3	start	Start vector.
Double3	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.

Returns

Type	Description
Double3	The cubic interpolation of the two vectors.

SmoothStep(ref Double3, ref Double3, Double, out Double3)

Performs a cubic interpolation between two vectors.

public static void SmoothStep(ref Double3 start, ref Double3 end, double amount, out Double3 result)

Parameters

Type	Name	Description
Double3	start	Start vector.
Double3	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.
Double3	result	When the method completes, contains the cubic interpolation of the two vectors.

Subtract(Double3, Double3)

Subtracts two vectors.

public static Double3 Subtract(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to subtract.
Double3	right	The second vector to subtract.

Returns

Type	Description
Double3	The difference of the two vectors.

Subtract(ref Double3, ref Double3, out Double3)

Subtracts two vectors.

public static void Subtract(ref Double3 left, ref Double3 right, out Double3 result)

Parameters

Type	Name	Description
Double3	left	The first vector to subtract.
Double3	right	The second vector to subtract.
Double3	result	When the method completes, contains the difference of the two vectors.

ToArray()

Creates an array containing the elements of the vector.

public double[] ToArray()

Returns

Type	Description
System.Double[]	A three-element array containing the components of the vector.

ToString()

Returns a System.String that represents this instance.

public override string ToString()

Returns

Type	Description
System.String	A System.String that represents this instance.

Overrides

System.ValueType.ToString()

ToString(IFormatProvider)

Returns a System.String that represents this instance.

public string ToString(IFormatProvider formatProvider)

Parameters

Type	Name	Description
System.IFormatProvider	formatProvider	The format provider.

Returns

Type	Description
System.String	A System.String that represents this instance.

ToString(String)

Returns a System.String that represents this instance.

public string ToString(string format)

Parameters

Type	Name	Description
System.String	format	The format.

Returns

Type	Description
System.String	A System.String that represents this instance.

ToString(String, IFormatProvider)

Returns a System.String that represents this instance.

public string ToString(string format, IFormatProvider formatProvider)

Parameters

Type	Name	Description
System.String	format	The format.
System.IFormatProvider	formatProvider	The format provider.

Returns

Type	Description
System.String	A System.String that represents this instance.

Transform(Double3, Matrix)

Transforms a 3D vector by the given Matrix.

public static Double4 Transform(Double3 vector, Matrix transform)

Parameters

Type	Name	Description
Double3	vector	The source vector.
Matrix	transform	The transformation Matrix.

Returns

Type	Description
Double4	The transformed Double4.

Transform(Double3, Quaternion)

Transforms a 3D vector by the given Quaternion rotation.

public static Double3 Transform(Double3 vector, Quaternion rotation)

Parameters

Type	Name	Description
Double3	vector	The vector to rotate.
Quaternion	rotation	The Quaternion rotation to apply.

Returns

Type	Description
Double3	The transformed Double4.

Transform(ref Double3, ref Matrix, out Double3)

Transforms a 3D vector by the given Matrix.

public static void Transform(ref Double3 vector, ref Matrix transform, out Double3 result)

Parameters

Type	Name	Description
Double3	vector	The source vector.
Matrix	transform	The transformation Matrix.
Double3	result	When the method completes, contains the transformed Double3.

Transform(ref Double3, ref Matrix, out Double4)

Transforms a 3D vector by the given Matrix.

public static void Transform(ref Double3 vector, ref Matrix transform, out Double4 result)

Parameters

Type	Name	Description
Double3	vector	The source vector.
Matrix	transform	The transformation Matrix.
Double4	result	When the method completes, contains the transformed Double4.

Transform(ref Double3, ref Quaternion, out Double3)

Transforms a 3D vector by the given Quaternion rotation.

public static void Transform(ref Double3 vector, ref Quaternion rotation, out Double3 result)

Parameters

Type	Name	Description
Double3	vector	The vector to rotate.
Quaternion	rotation	The Quaternion rotation to apply.
Double3	result	When the method completes, contains the transformed Double4.

Transform(Double3[], ref Matrix, Double4[])

Transforms an array of 3D vectors by the given Matrix.

public static void Transform(Double3[] source, ref Matrix transform, Double4[] destination)

Parameters

Type	Name	Description
Double3[]	source	The array of vectors to transform.
Matrix	transform	The transformation Matrix.
Double4[]	destination	The array for which the transformed vectors are stored.

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `source` or `destination` is `null`.
System.ArgumentOutOfRangeException	Thrown when `destination` is shorter in length than `source`.

Transform(Double3[], ref Quaternion, Double3[])

Transforms an array of vectors by the given Quaternion rotation.

public static void Transform(Double3[] source, ref Quaternion rotation, Double3[] destination)

Parameters

Type	Name	Description
Double3[]	source	The array of vectors to transform.
Quaternion	rotation	The Quaternion rotation to apply.
Double3[]	destination	The array for which the transformed vectors are stored. This array may be the same array as `source`.

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `source` or `destination` is `null`.
System.ArgumentOutOfRangeException	Thrown when `destination` is shorter in length than `source`.

TransformCoordinate(Double3, Matrix)

Performs a coordinate transformation using the given Matrix.

public static Double3 TransformCoordinate(Double3 coordinate, Matrix transform)

Parameters

Type	Name	Description
Double3	coordinate	The coordinate vector to transform.
Matrix	transform	The transformation Matrix.

Returns

Type	Description
Double3	The transformed coordinates.

Remarks

A coordinate transform performs the transformation with the assumption that the w component is one. The four dimensional vector obtained from the transformation operation has each component in the vector divided by the w component. This forces the wcomponent to be one and therefore makes the vector homogeneous. The homogeneous vector is often prefered when working with coordinates as the w component can safely be ignored.

TransformCoordinate(ref Double3, ref Matrix, out Double3)

Performs a coordinate transformation using the given Matrix.

public static void TransformCoordinate(ref Double3 coordinate, ref Matrix transform, out Double3 result)

Parameters

Type	Name	Description
Double3	coordinate	The coordinate vector to transform.
Matrix	transform	The transformation Matrix.
Double3	result	When the method completes, contains the transformed coordinates.

Remarks

TransformCoordinate(Double3[], ref Matrix, Double3[])

Performs a coordinate transformation on an array of vectors using the given Matrix.

public static void TransformCoordinate(Double3[] source, ref Matrix transform, Double3[] destination)

Parameters

Type	Name	Description
Double3[]	source	The array of coordinate vectors to trasnform.
Matrix	transform	The transformation Matrix.
Double3[]	destination	The array for which the transformed vectors are stored. This array may be the same array as `source`.

Remarks

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `source` or `destination` is `null`.
System.ArgumentOutOfRangeException	Thrown when `destination` is shorter in length than `source`.

TransformNormal(Double3, Matrix)

Performs a normal transformation using the given Matrix.

public static Double3 TransformNormal(Double3 normal, Matrix transform)

Parameters

Type	Name	Description
Double3	normal	The normal vector to transform.
Matrix	transform	The transformation Matrix.

Returns

Type	Description
Double3	The transformed normal.

Remarks

A normal transform performs the transformation with the assumption that the w component is zero. This causes the fourth row and fourth collumn of the matrix to be unused. The end result is a vector that is not translated, but all other transformation properties apply. This is often prefered for normal vectors as normals purely represent direction rather than location because normal vectors should not be translated.

TransformNormal(ref Double3, ref Matrix, out Double3)

Performs a normal transformation using the given Matrix.

public static void TransformNormal(ref Double3 normal, ref Matrix transform, out Double3 result)

Parameters

Type	Name	Description
Double3	normal	The normal vector to transform.
Matrix	transform	The transformation Matrix.
Double3	result	When the method completes, contains the transformed normal.

Remarks

TransformNormal(Double3[], ref Matrix, Double3[])

Performs a normal transformation on an array of vectors using the given Matrix.

public static void TransformNormal(Double3[] source, ref Matrix transform, Double3[] destination)

Parameters

Type	Name	Description
Double3[]	source	The array of normal vectors to transform.
Matrix	transform	The transformation Matrix.
Double3[]	destination	The array for which the transformed vectors are stored. This array may be the same array as `source`.

Remarks

Exceptions

Type	Condition
System.ArgumentNullException	Thrown when `source` or `destination` is `null`.
System.ArgumentOutOfRangeException	Thrown when `destination` is shorter in length than `source`.

Unproject(Double3, Double, Double, Double, Double, Double, Double, Matrix)

Projects a 3D vector from screen space into object space.

public static Double3 Unproject(Double3 vector, double x, double y, double width, double height, double minZ, double maxZ, Matrix worldViewProjection)

Parameters

Type	Name	Description
Double3	vector	The vector to project.
System.Double	x	The X position of the viewport.
System.Double	y	The Y position of the viewport.
System.Double	width	The width of the viewport.
System.Double	height	The height of the viewport.
System.Double	minZ	The minimum depth of the viewport.
System.Double	maxZ	The maximum depth of the viewport.
Matrix	worldViewProjection	The combined world-view-projection matrix.

Returns

Type	Description
Double3	The vector in object space.

Unproject(ref Double3, Double, Double, Double, Double, Double, Double, ref Matrix, out Double3)

Projects a 3D vector from screen space into object space.

public static void Unproject(ref Double3 vector, double x, double y, double width, double height, double minZ, double maxZ, ref Matrix worldViewProjection, out Double3 result)

Parameters

Type	Name	Description
Double3	vector	The vector to project.
System.Double	x	The X position of the viewport.
System.Double	y	The Y position of the viewport.
System.Double	width	The width of the viewport.
System.Double	height	The height of the viewport.
System.Double	minZ	The minimum depth of the viewport.
System.Double	maxZ	The maximum depth of the viewport.
Matrix	worldViewProjection	The combined world-view-projection matrix.
Double3	result	When the method completes, contains the vector in object space.

| Improve this Doc View Source

Operators

Addition(Double3, Double3)

Adds two vectors.

public static Double3 operator +(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to add.
Double3	right	The second vector to add.

Returns

Type	Description
Double3	The sum of the two vectors.

Addition(Double3, Double)

Adds a vector with the given value.

public static Double3 operator +(Double3 value, double scale)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double3	The vector offset.

Division(Double3, Double3)

Divides a vector by the given vector, component-wise.

public static Double3 operator /(Double3 value, Double3 by)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
Double3	by	The by.

Returns

Type	Description
Double3	The scaled vector.

Division(Double3, Double)

Scales a vector by the given value.

public static Double3 operator /(Double3 value, double scale)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double3	The scaled vector.

Division(Double, Double3)

Divides a numerator by a vector.

public static Double3 operator /(double numerator, Double3 value)

Parameters

Type	Name	Description
System.Double	numerator	The numerator.
Double3	value	The value.

Returns

Type	Description
Double3	The scaled vector.

Equality(Double3, Double3)

Tests for equality between two objects.

public static bool operator ==(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first value to compare.
Double3	right	The second value to compare.

Returns

Type	Description
System.Boolean	`true` if `left` has the same value as `right`; otherwise, `false`.

Explicit(Double3 to Double2)

Performs an explicit conversion from Double3 to Double2.

public static explicit operator Double2(Double3 value)

Parameters

Type	Name	Description
Double3	value	The value.

Returns

Type	Description
Double2	The result of the conversion.

Explicit(Double3 to Double4)

Performs an explicit conversion from Double3 to Double4.

public static explicit operator Double4(Double3 value)

Parameters

Type	Name	Description
Double3	value	The value.

Returns

Type	Description
Double4	The result of the conversion.

Explicit(Double3 to Half3)

Performs an explicit conversion from Double3 to Half3.

public static explicit operator Half3(Double3 value)

Parameters

Type	Name	Description
Double3	value	The value.

Returns

Type	Description
Half3	The result of the conversion.

Explicit(Double3 to Vector3)

Performs an explicit conversion from Double3 to Vector3.

public static explicit operator Vector3(Double3 value)

Parameters

Type	Name	Description
Double3	value	The value.

Returns

Type	Description
Vector3	The result of the conversion.

Explicit(Half3 to Double3)

Performs an explicit conversion from Half3 to Double3.

public static explicit operator Double3(Half3 value)

Parameters

Type	Name	Description
Half3	value	The value.

Returns

Type	Description
Double3	The result of the conversion.

Implicit(Vector3 to Double3)

Performs an implicit conversion from Vector3 to Double3.

public static implicit operator Double3(Vector3 value)

Parameters

Type	Name	Description
Vector3	value	The value.

Returns

Type	Description
Double3	The result of the conversion.

Inequality(Double3, Double3)

Tests for inequality between two objects.

public static bool operator !=(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first value to compare.
Double3	right	The second value to compare.

Returns

Type	Description
System.Boolean	`true` if `left` has a different value than `right`; otherwise, `false`.

Multiply(Double3, Double3)

Modulates a vector with another by performing component-wise multiplication.

public static Double3 operator *(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to multiply.
Double3	right	The second vector to multiply.

Returns

Type	Description
Double3	The multiplication of the two vectors.

Multiply(Double3, Double)

Scales a vector by the given value.

public static Double3 operator *(Double3 value, double scale)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double3	The scaled vector.

Multiply(Double, Double3)

Scales a vector by the given value.

public static Double3 operator *(double scale, Double3 value)

Parameters

Type	Name	Description
System.Double	scale	The amount by which to scale the vector.
Double3	value	The vector to scale.

Returns

Type	Description
Double3	The scaled vector.

Subtraction(Double3, Double3)

Subtracts two vectors.

public static Double3 operator -(Double3 left, Double3 right)

Parameters

Type	Name	Description
Double3	left	The first vector to subtract.
Double3	right	The second vector to subtract.

Returns

Type	Description
Double3	The difference of the two vectors.

Subtraction(Double3, Double)

Substracts a vector by the given value.

public static Double3 operator -(Double3 value, double scale)

Parameters

Type	Name	Description
Double3	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double3	The vector offset.

UnaryNegation(Double3)

Reverses the direction of a given vector.

public static Double3 operator -(Double3 value)

Parameters

Type	Name	Description
Double3	value	The vector to negate.

Returns

Type	Description
Double3	A vector facing in the opposite direction.

UnaryPlus(Double3)

Assert a vector (return it unchanged).

public static Double3 operator +(Double3 value)

Parameters

Type	Name	Description
Double3	value	The vector to assert (unchange).

Returns

Type	Description
Double3	The asserted (unchanged) vector.

Extension Methods

ComponentBaseExtensions.DisposeBy<T>(T, ICollectorHolder)

ComponentBaseExtensions.RemoveDisposeBy<T>(T, ICollectorHolder)