Double2 Struct

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

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

[DataContract("double2")]
[DataStyle(DataStyle.Compact)]
public struct Double2 : IEquatable<Double2>, IFormattable

Name		Description
Constructors
	Double2(Vector2)	Initializes a new instance of the Double2 struct.
	Double2(Double)	Initializes a new instance of the Double2 struct.
	Double2(Double, Double)	Initializes a new instance of the Double2 struct.
	Double2(Double[])	Initializes a new instance of the Double2 struct.
Fields
	One	A Double2 with all of its components set to one.
	SizeInBytes	The size of the Double2 type, in bytes.
	UnitX	The X unit Double2 (1, 0).
	UnitY	The Y unit Double2 (0, 1).
	X	The X component of the vector.
	Y	The Y component of the vector.
	Zero	A Double2 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(Double2, Double2)	Adds two vectors.
	Add(ref Double2, ref Double2, out Double2)	Adds two vectors.
	Barycentric(Double2, Double2, Double2, Double, Double)	Returns a Double2 containing the 2D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 2D triangle.
	Barycentric(ref Double2, ref Double2, ref Double2, Double, Double, out Double2)	Returns a Double2 containing the 2D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 2D triangle.
	CatmullRom(Double2, Double2, Double2, Double2, Double)	Performs a Catmull-Rom interpolation using the specified positions.
	CatmullRom(ref Double2, ref Double2, ref Double2, ref Double2, Double, out Double2)	Performs a Catmull-Rom interpolation using the specified positions.
	Clamp(Double2, Double2, Double2)	Restricts a value to be within a specified range.
	Clamp(ref Double2, ref Double2, ref Double2, out Double2)	Restricts a value to be within a specified range.
	Demodulate(Double2, Double2)	Demodulates a vector with another by performing component-wise division.
	Demodulate(ref Double2, ref Double2, out Double2)	Demodulates a vector with another by performing component-wise division.
	Distance(Double2, Double2)	Calculates the distance between two vectors.
	Distance(ref Double2, ref Double2, out Double)	Calculates the distance between two vectors.
	DistanceSquared(Double2, Double2)	Calculates the squared distance between two vectors.
	DistanceSquared(ref Double2, ref Double2, out Double)	Calculates the squared distance between two vectors.
	Divide(Double2, Double)	Scales a vector by the given value.
	Divide(ref Double2, Double, out Double2)	Scales a vector by the given value.
	Dot(Double2, Double2)	Calculates the dot product of two vectors.
	Dot(ref Double2, ref Double2, out Double)	Calculates the dot product of two vectors.
	Equals(Double2)	Determines whether the specified Double2 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(Double2, Double2, Double2, Double2, Double)	Performs a Hermite spline interpolation.
	Hermite(ref Double2, ref Double2, ref Double2, ref Double2, Double, out Double2)	Performs a Hermite spline interpolation.
	Length()	Calculates the length of the vector.
	LengthSquared()	Calculates the squared length of the vector.
	Lerp(Double2, Double2, Double)	Performs a linear interpolation between two vectors.
	Lerp(ref Double2, ref Double2, Double, out Double2)	Performs a linear interpolation between two vectors.
	Max(Double2, Double2)	Returns a vector containing the largest components of the specified vectors.
	Max(ref Double2, ref Double2, out Double2)	Returns a vector containing the smallest components of the specified vectors.
	Min(Double2, Double2)	Returns a vector containing the smallest components of the specified vectors.
	Min(ref Double2, ref Double2, out Double2)	Returns a vector containing the smallest components of the specified vectors.
	Modulate(Double2, Double2)	Modulates a vector with another by performing component-wise multiplication.
	Modulate(ref Double2, ref Double2, out Double2)	Modulates a vector with another by performing component-wise multiplication.
	Multiply(Double2, Double)	Scales a vector by the given value.
	Multiply(ref Double2, Double, out Double2)	Scales a vector by the given value.
	Negate(Double2)	Reverses the direction of a given vector.
	Negate(ref Double2, out Double2)	Reverses the direction of a given vector.
	Normalize()	Converts the vector into a unit vector.
	Normalize(Double2)	Converts the vector into a unit vector.
	Normalize(ref Double2, out Double2)	Converts the vector into a unit vector.
	Orthogonalize(Double2[], Double2[])	Orthogonalizes a list of vectors.
	Orthonormalize(Double2[], Double2[])	Orthonormalizes a list of vectors.
	Reflect(Double2, Double2)	Returns the reflection of a vector off a surface that has the specified normal.
	Reflect(ref Double2, ref Double2, out Double2)	Returns the reflection of a vector off a surface that has the specified normal.
	SmoothStep(Double2, Double2, Double)	Performs a cubic interpolation between two vectors.
	SmoothStep(ref Double2, ref Double2, Double, out Double2)	Performs a cubic interpolation between two vectors.
	Subtract(Double2, Double2)	Subtracts two vectors.
	Subtract(ref Double2, ref Double2, out Double2)	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(Double2, Matrix)	Transforms a 2D vector by the given Matrix.
	Transform(Double2, Quaternion)	Transforms a 2D vector by the given Quaternion rotation.
	Transform(ref Double2, ref Matrix, out Double4)	Transforms a 2D vector by the given Matrix.
	Transform(ref Double2, ref Quaternion, out Double2)	Transforms a 2D vector by the given Quaternion rotation.
	Transform(Double2[], ref Matrix, Double4[])	Transforms an array of 2D vectors by the given Matrix.
	Transform(Double2[], ref Quaternion, Double2[])	Transforms an array of vectors by the given Quaternion rotation.
	TransformCoordinate(Double2, Matrix)	Performs a coordinate transformation using the given Matrix.
	TransformCoordinate(ref Double2, ref Matrix, out Double2)	Performs a coordinate transformation using the given Matrix.
	TransformCoordinate(Double2[], ref Matrix, Double2[])	Performs a coordinate transformation on an array of vectors using the given Matrix.
	TransformNormal(Double2, Matrix)	Performs a normal transformation using the given Matrix.
	TransformNormal(ref Double2, ref Matrix, out Double2)	Performs a normal transformation using the given Matrix.
	TransformNormal(Double2[], ref Matrix, Double2[])	Performs a normal transformation on an array of vectors using the given Matrix.
Operators
	Addition(Double2, Double2)	Adds two vectors.
	Division(Double2, Double2)	Divides a vector by the given vector, component-wise.
	Division(Double2, Double)	Scales a vector by the given value.
	Division(Double, Double2)	Divides a numerator by a vector.
	Equality(Double2, Double2)	Tests for equality between two objects.
	Explicit(Double2 to Double3)	Performs an explicit conversion from Double2 to Double3.
	Explicit(Double2 to Double4)	Performs an explicit conversion from Double2 to Double4.
	Explicit(Double2 to Half2)	Performs an explicit conversion from Double2 to Half2.
	Explicit(Double2 to Vector2)	Performs an explicit conversion from Double2 to Vector2.
	Explicit(Half2 to Double2)	Performs an explicit conversion from Half2 to Double2.
	Implicit(Vector2 to Double2)	Performs an implicit conversion from Vector2 to Double2.
	Inequality(Double2, Double2)	Tests for inequality between two objects.
	Multiply(Double2, Double2)	Modulates a vector with another by performing component-wise multiplication.
	Multiply(Double2, Double)	Scales a vector by the given value.
	Multiply(Double, Double2)	Scales a vector by the given value.
	Subtraction(Double2, Double2)	Subtracts two vectors.
	UnaryNegation(Double2)	Reverses the direction of a given vector.
	UnaryPlus(Double2)	Assert a vector (return it unchanged).

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Constructors

Double2(Vector2)

Initializes a new instance of the Double2 struct.

public Double2(Vector2 v)

Parameters

Type	Name	Description
Vector2	v	The Vector2 to construct the Double2 from.

Double2(Double)

Initializes a new instance of the Double2 struct.

public Double2(double value)

Parameters

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

Double2(Double, Double)

Initializes a new instance of the Double2 struct.

public Double2(double x, double y)

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.

Double2(Double[])

Initializes a new instance of the Double2 struct.

public Double2(double[] values)

Parameters

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

Exceptions

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

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Fields

One

A Double2 with all of its components set to one.

public static readonly Double2 One

Field Value

Type	Description
Double2

SizeInBytes

The size of the Double2 type, in bytes.

public static readonly int SizeInBytes

Field Value

Type	Description
System.Int32

UnitX

The X unit Double2 (1, 0).

public static readonly Double2 UnitX

Field Value

Type	Description
Double2

UnitY

The Y unit Double2 (0, 1).

public static readonly Double2 UnitY

Field Value

Type	Description
Double2

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

Zero

A Double2 with all of its components set to zero.

public static readonly Double2 Zero

Field Value

Type	Description
Double2

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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 and 1 for the Y component.

Property Value

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

Exceptions

Type	Condition
System.ArgumentOutOfRangeException	Thrown when the `index` is out of the range [0, 1].

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Methods

Add(Double2, Double2)

Adds two vectors.

public static Double2 Add(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to add.
Double2	right	The second vector to add.

Returns

Type	Description
Double2	The sum of the two vectors.

Add(ref Double2, ref Double2, out Double2)

Adds two vectors.

public static void Add(ref Double2 left, ref Double2 right, out Double2 result)

Parameters

Type	Name	Description
Double2	left	The first vector to add.
Double2	right	The second vector to add.
Double2	result	When the method completes, contains the sum of the two vectors.

Barycentric(Double2, Double2, Double2, Double, Double)

Returns a Double2 containing the 2D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 2D triangle.

public static Double2 Barycentric(Double2 value1, Double2 value2, Double2 value3, double amount1, double amount2)

Parameters

Type	Name	Description
Double2	value1	A Double2 containing the 2D Cartesian coordinates of vertex 1 of the triangle.
Double2	value2	A Double2 containing the 2D Cartesian coordinates of vertex 2 of the triangle.
Double2	value3	A Double2 containing the 2D 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
Double2	A new Double2 containing the 2D Cartesian coordinates of the specified point.

Barycentric(ref Double2, ref Double2, ref Double2, Double, Double, out Double2)

Returns a Double2 containing the 2D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 2D triangle.

public static void Barycentric(ref Double2 value1, ref Double2 value2, ref Double2 value3, double amount1, double amount2, out Double2 result)

Parameters

Type	Name	Description
Double2	value1	A Double2 containing the 2D Cartesian coordinates of vertex 1 of the triangle.
Double2	value2	A Double2 containing the 2D Cartesian coordinates of vertex 2 of the triangle.
Double2	value3	A Double2 containing the 2D 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`).
Double2	result	When the method completes, contains the 2D Cartesian coordinates of the specified point.

CatmullRom(Double2, Double2, Double2, Double2, Double)

Performs a Catmull-Rom interpolation using the specified positions.

public static Double2 CatmullRom(Double2 value1, Double2 value2, Double2 value3, Double2 value4, double amount)

Parameters

Type	Name	Description
Double2	value1	The first position in the interpolation.
Double2	value2	The second position in the interpolation.
Double2	value3	The third position in the interpolation.
Double2	value4	The fourth position in the interpolation.
System.Double	amount	Weighting factor.

Returns

Type	Description
Double2	A vector that is the result of the Catmull-Rom interpolation.

CatmullRom(ref Double2, ref Double2, ref Double2, ref Double2, Double, out Double2)

Performs a Catmull-Rom interpolation using the specified positions.

public static void CatmullRom(ref Double2 value1, ref Double2 value2, ref Double2 value3, ref Double2 value4, double amount, out Double2 result)

Parameters

Type	Name	Description
Double2	value1	The first position in the interpolation.
Double2	value2	The second position in the interpolation.
Double2	value3	The third position in the interpolation.
Double2	value4	The fourth position in the interpolation.
System.Double	amount	Weighting factor.
Double2	result	When the method completes, contains the result of the Catmull-Rom interpolation.

Clamp(Double2, Double2, Double2)

Restricts a value to be within a specified range.

public static Double2 Clamp(Double2 value, Double2 min, Double2 max)

Parameters

Type	Name	Description
Double2	value	The value to clamp.
Double2	min	The minimum value.
Double2	max	The maximum value.

Returns

Type	Description
Double2	The clamped value.

Clamp(ref Double2, ref Double2, ref Double2, out Double2)

Restricts a value to be within a specified range.

public static void Clamp(ref Double2 value, ref Double2 min, ref Double2 max, out Double2 result)

Parameters

Type	Name	Description
Double2	value	The value to clamp.
Double2	min	The minimum value.
Double2	max	The maximum value.
Double2	result	When the method completes, contains the clamped value.

Demodulate(Double2, Double2)

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

public static Double2 Demodulate(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to demodulate.
Double2	right	The second vector to demodulate.

Returns

Type	Description
Double2	The demodulated vector.

Demodulate(ref Double2, ref Double2, out Double2)

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

public static void Demodulate(ref Double2 left, ref Double2 right, out Double2 result)

Parameters

Type	Name	Description
Double2	left	The first vector to demodulate.
Double2	right	The second vector to demodulate.
Double2	result	When the method completes, contains the demodulated vector.

Distance(Double2, Double2)

Calculates the distance between two vectors.

public static double Distance(Double2 value1, Double2 value2)

Parameters

Type	Name	Description
Double2	value1	The first vector.
Double2	value2	The second vector.

Returns

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

Remarks

DistanceSquared(Double2, Double2) may be preferred when only the relative distance is needed and speed is of the essence.

Distance(ref Double2, ref Double2, out Double)

Calculates the distance between two vectors.

public static void Distance(ref Double2 value1, ref Double2 value2, out double result)

Parameters

Type	Name	Description
Double2	value1	The first vector.
Double2	value2	The second vector.
System.Double	result	When the method completes, contains the distance between the two vectors.

Remarks

DistanceSquared(ref Double2, ref Double2, out Double) may be preferred when only the relative distance is needed and speed is of the essence.

DistanceSquared(Double2, Double2)

Calculates the squared distance between two vectors.

public static double DistanceSquared(Double2 value1, Double2 value2)

Parameters

Type	Name	Description
Double2	value1	The first vector.
Double2	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 Double2, ref Double2, out Double)

Calculates the squared distance between two vectors.

public static void DistanceSquared(ref Double2 value1, ref Double2 value2, out double result)

Parameters

Type	Name	Description
Double2	value1	The first vector.
Double2	value2	The second vector
System.Double	result	When the method completes, contains the squared distance between the two vectors.

Remarks

Divide(Double2, Double)

Scales a vector by the given value.

public static Double2 Divide(Double2 value, double scale)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double2	The scaled vector.

Divide(ref Double2, Double, out Double2)

Scales a vector by the given value.

public static void Divide(ref Double2 value, double scale, out Double2 result)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.
Double2	result	When the method completes, contains the scaled vector.

Dot(Double2, Double2)

Calculates the dot product of two vectors.

public static double Dot(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	First source vector.
Double2	right	Second source vector.

Returns

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

Dot(ref Double2, ref Double2, out Double)

Calculates the dot product of two vectors.

public static void Dot(ref Double2 left, ref Double2 right, out double result)

Parameters

Type	Name	Description
Double2	left	First source vector.
Double2	right	Second source vector.
System.Double	result	When the method completes, contains the dot product of the two vectors.

Equals(Double2)

Determines whether the specified Double2 is equal to this instance.

public bool Equals(Double2 other)

Parameters

Type	Name	Description
Double2	other	The Double2 to compare with this instance.

Returns

Type	Description
System.Boolean	`true` if the specified Double2 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(Double2, Double2, Double2, Double2, Double)

Performs a Hermite spline interpolation.

public static Double2 Hermite(Double2 value1, Double2 tangent1, Double2 value2, Double2 tangent2, double amount)

Parameters

Type	Name	Description
Double2	value1	First source position vector.
Double2	tangent1	First source tangent vector.
Double2	value2	Second source position vector.
Double2	tangent2	Second source tangent vector.
System.Double	amount	Weighting factor.

Returns

Type	Description
Double2	The result of the Hermite spline interpolation.

Hermite(ref Double2, ref Double2, ref Double2, ref Double2, Double, out Double2)

Performs a Hermite spline interpolation.

public static void Hermite(ref Double2 value1, ref Double2 tangent1, ref Double2 value2, ref Double2 tangent2, double amount, out Double2 result)

Parameters

Type	Name	Description
Double2	value1	First source position vector.
Double2	tangent1	First source tangent vector.
Double2	value2	Second source position vector.
Double2	tangent2	Second source tangent vector.
System.Double	amount	Weighting factor.
Double2	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(Double2, Double2, Double)

Performs a linear interpolation between two vectors.

public static Double2 Lerp(Double2 start, Double2 end, double amount)

Parameters

Type	Name	Description
Double2	start	Start vector.
Double2	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.

Returns

Type	Description
Double2	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 Double2, ref Double2, Double, out Double2)

Performs a linear interpolation between two vectors.

public static void Lerp(ref Double2 start, ref Double2 end, double amount, out Double2 result)

Parameters

Type	Name	Description
Double2	start	Start vector.
Double2	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.
Double2	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(Double2, Double2)

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

public static Double2 Max(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first source vector.
Double2	right	The second source vector.

Returns

Type	Description
Double2	A vector containing the largest components of the source vectors.

Max(ref Double2, ref Double2, out Double2)

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

public static void Max(ref Double2 left, ref Double2 right, out Double2 result)

Parameters

Type	Name	Description
Double2	left	The first source vector.
Double2	right	The second source vector.
Double2	result	When the method completes, contains an new vector composed of the largest components of the source vectors.

Min(Double2, Double2)

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

public static Double2 Min(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first source vector.
Double2	right	The second source vector.

Returns

Type	Description
Double2	A vector containing the smallest components of the source vectors.

Min(ref Double2, ref Double2, out Double2)

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

public static void Min(ref Double2 left, ref Double2 right, out Double2 result)

Parameters

Type	Name	Description
Double2	left	The first source vector.
Double2	right	The second source vector.
Double2	result	When the method completes, contains an new vector composed of the smallest components of the source vectors.

Modulate(Double2, Double2)

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

public static Double2 Modulate(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to modulate.
Double2	right	The second vector to modulate.

Returns

Type	Description
Double2	The modulated vector.

Modulate(ref Double2, ref Double2, out Double2)

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

public static void Modulate(ref Double2 left, ref Double2 right, out Double2 result)

Parameters

Type	Name	Description
Double2	left	The first vector to modulate.
Double2	right	The second vector to modulate.
Double2	result	When the method completes, contains the modulated vector.

Multiply(Double2, Double)

Scales a vector by the given value.

public static Double2 Multiply(Double2 value, double scale)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double2	The scaled vector.

Multiply(ref Double2, Double, out Double2)

Scales a vector by the given value.

public static void Multiply(ref Double2 value, double scale, out Double2 result)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.
Double2	result	When the method completes, contains the scaled vector.

Negate(Double2)

Reverses the direction of a given vector.

public static Double2 Negate(Double2 value)

Parameters

Type	Name	Description
Double2	value	The vector to negate.

Returns

Type	Description
Double2	A vector facing in the opposite direction.

Negate(ref Double2, out Double2)

Reverses the direction of a given vector.

public static void Negate(ref Double2 value, out Double2 result)

Parameters

Type	Name	Description
Double2	value	The vector to negate.
Double2	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(Double2)

Converts the vector into a unit vector.

public static Double2 Normalize(Double2 value)

Parameters

Type	Name	Description
Double2	value	The vector to normalize.

Returns

Type	Description
Double2	The normalized vector.

Normalize(ref Double2, out Double2)

Converts the vector into a unit vector.

public static void Normalize(ref Double2 value, out Double2 result)

Parameters

Type	Name	Description
Double2	value	The vector to normalize.
Double2	result	When the method completes, contains the normalized vector.

Orthogonalize(Double2[], Double2[])

Orthogonalizes a list of vectors.

public static void Orthogonalize(Double2[] destination, params Double2[] source)

Parameters

Type	Name	Description
Double2[]	destination	The list of orthogonalized vectors.
Double2[]	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(Double2[], Double2[])

Orthonormalizes a list of vectors.

public static void Orthonormalize(Double2[] destination, params Double2[] source)

Parameters

Type	Name	Description
Double2[]	destination	The list of orthonormalized vectors.
Double2[]	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`.

Reflect(Double2, Double2)

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

public static Double2 Reflect(Double2 vector, Double2 normal)

Parameters

Type	Name	Description
Double2	vector	The source vector.
Double2	normal	Normal of the surface.

Returns

Type	Description
Double2	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 Double2, ref Double2, out Double2)

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

public static void Reflect(ref Double2 vector, ref Double2 normal, out Double2 result)

Parameters

Type	Name	Description
Double2	vector	The source vector.
Double2	normal	Normal of the surface.
Double2	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.

SmoothStep(Double2, Double2, Double)

Performs a cubic interpolation between two vectors.

public static Double2 SmoothStep(Double2 start, Double2 end, double amount)

Parameters

Type	Name	Description
Double2	start	Start vector.
Double2	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.

Returns

Type	Description
Double2	The cubic interpolation of the two vectors.

SmoothStep(ref Double2, ref Double2, Double, out Double2)

Performs a cubic interpolation between two vectors.

public static void SmoothStep(ref Double2 start, ref Double2 end, double amount, out Double2 result)

Parameters

Type	Name	Description
Double2	start	Start vector.
Double2	end	End vector.
System.Double	amount	Value between 0 and 1 indicating the weight of `end`.
Double2	result	When the method completes, contains the cubic interpolation of the two vectors.

Subtract(Double2, Double2)

Subtracts two vectors.

public static Double2 Subtract(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to subtract.
Double2	right	The second vector to subtract.

Returns

Type	Description
Double2	The difference of the two vectors.

Subtract(ref Double2, ref Double2, out Double2)

Subtracts two vectors.

public static void Subtract(ref Double2 left, ref Double2 right, out Double2 result)

Parameters

Type	Name	Description
Double2	left	The first vector to subtract.
Double2	right	The second vector to subtract.
Double2	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 two-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(Double2, Matrix)

Transforms a 2D vector by the given Matrix.

public static Double4 Transform(Double2 vector, Matrix transform)

Parameters

Type	Name	Description
Double2	vector	The source vector.
Matrix	transform	The transformation Matrix.

Returns

Type	Description
Double4	The transformed Double4.

Transform(Double2, Quaternion)

Transforms a 2D vector by the given Quaternion rotation.

public static Double2 Transform(Double2 vector, Quaternion rotation)

Parameters

Type	Name	Description
Double2	vector	The vector to rotate.
Quaternion	rotation	The Quaternion rotation to apply.

Returns

Type	Description
Double2	The transformed Double4.

Transform(ref Double2, ref Matrix, out Double4)

Transforms a 2D vector by the given Matrix.

public static void Transform(ref Double2 vector, ref Matrix transform, out Double4 result)

Parameters

Type	Name	Description
Double2	vector	The source vector.
Matrix	transform	The transformation Matrix.
Double4	result	When the method completes, contains the transformed Double4.

Transform(ref Double2, ref Quaternion, out Double2)

Transforms a 2D vector by the given Quaternion rotation.

public static void Transform(ref Double2 vector, ref Quaternion rotation, out Double2 result)

Parameters

Type	Name	Description
Double2	vector	The vector to rotate.
Quaternion	rotation	The Quaternion rotation to apply.
Double2	result	When the method completes, contains the transformed Double4.

Transform(Double2[], ref Matrix, Double4[])

Transforms an array of 2D vectors by the given Matrix.

public static void Transform(Double2[] source, ref Matrix transform, Double4[] destination)

Parameters

Type	Name	Description
Double2[]	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(Double2[], ref Quaternion, Double2[])

Transforms an array of vectors by the given Quaternion rotation.

public static void Transform(Double2[] source, ref Quaternion rotation, Double2[] destination)

Parameters

Type	Name	Description
Double2[]	source	The array of vectors to transform.
Quaternion	rotation	The Quaternion rotation to apply.
Double2[]	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(Double2, Matrix)

Performs a coordinate transformation using the given Matrix.

public static Double2 TransformCoordinate(Double2 coordinate, Matrix transform)

Parameters

Type	Name	Description
Double2	coordinate	The coordinate vector to transform.
Matrix	transform	The transformation Matrix.

Returns

Type	Description
Double2	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 Double2, ref Matrix, out Double2)

Performs a coordinate transformation using the given Matrix.

public static void TransformCoordinate(ref Double2 coordinate, ref Matrix transform, out Double2 result)

Parameters

Type	Name	Description
Double2	coordinate	The coordinate vector to transform.
Matrix	transform	The transformation Matrix.
Double2	result	When the method completes, contains the transformed coordinates.

Remarks

TransformCoordinate(Double2[], ref Matrix, Double2[])

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

public static void TransformCoordinate(Double2[] source, ref Matrix transform, Double2[] destination)

Parameters

Type	Name	Description
Double2[]	source	The array of coordinate vectors to trasnform.
Matrix	transform	The transformation Matrix.
Double2[]	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(Double2, Matrix)

Performs a normal transformation using the given Matrix.

public static Double2 TransformNormal(Double2 normal, Matrix transform)

Parameters

Type	Name	Description
Double2	normal	The normal vector to transform.
Matrix	transform	The transformation Matrix.

Returns

Type	Description
Double2	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 Double2, ref Matrix, out Double2)

Performs a normal transformation using the given Matrix.

public static void TransformNormal(ref Double2 normal, ref Matrix transform, out Double2 result)

Parameters

Type	Name	Description
Double2	normal	The normal vector to transform.
Matrix	transform	The transformation Matrix.
Double2	result	When the method completes, contains the transformed normal.

Remarks

TransformNormal(Double2[], ref Matrix, Double2[])

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

public static void TransformNormal(Double2[] source, ref Matrix transform, Double2[] destination)

Parameters

Type	Name	Description
Double2[]	source	The array of normal vectors to transform.
Matrix	transform	The transformation Matrix.
Double2[]	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`.

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Operators

Addition(Double2, Double2)

Adds two vectors.

public static Double2 operator +(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to add.
Double2	right	The second vector to add.

Returns

Type	Description
Double2	The sum of the two vectors.

Division(Double2, Double2)

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

public static Double2 operator /(Double2 value, Double2 by)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
Double2	by	The by.

Returns

Type	Description
Double2	The scaled vector.

Division(Double2, Double)

Scales a vector by the given value.

public static Double2 operator /(Double2 value, double scale)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double2	The scaled vector.

Division(Double, Double2)

Divides a numerator by a vector.

public static Double2 operator /(double numerator, Double2 value)

Parameters

Type	Name	Description
System.Double	numerator	The numerator.
Double2	value	The value.

Returns

Type	Description
Double2	The scaled vector.

Equality(Double2, Double2)

Tests for equality between two objects.

public static bool operator ==(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first value to compare.
Double2	right	The second value to compare.

Returns

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

Explicit(Double2 to Double3)

Performs an explicit conversion from Double2 to Double3.

public static explicit operator Double3(Double2 value)

Parameters

Type	Name	Description
Double2	value	The value.

Returns

Type	Description
Double3	The result of the conversion.

Explicit(Double2 to Double4)

Performs an explicit conversion from Double2 to Double4.

public static explicit operator Double4(Double2 value)

Parameters

Type	Name	Description
Double2	value	The value.

Returns

Type	Description
Double4	The result of the conversion.

Explicit(Double2 to Half2)

Performs an explicit conversion from Double2 to Half2.

public static explicit operator Half2(Double2 value)

Parameters

Type	Name	Description
Double2	value	The value.

Returns

Type	Description
Half2	The result of the conversion.

Explicit(Double2 to Vector2)

Performs an explicit conversion from Double2 to Vector2.

public static explicit operator Vector2(Double2 value)

Parameters

Type	Name	Description
Double2	value	The value.

Returns

Type	Description
Vector2	The result of the conversion.

Explicit(Half2 to Double2)

Performs an explicit conversion from Half2 to Double2.

public static explicit operator Double2(Half2 value)

Parameters

Type	Name	Description
Half2	value	The value.

Returns

Type	Description
Double2	The result of the conversion.

Implicit(Vector2 to Double2)

Performs an implicit conversion from Vector2 to Double2.

public static implicit operator Double2(Vector2 value)

Parameters

Type	Name	Description
Vector2	value	The value.

Returns

Type	Description
Double2	The result of the conversion.

Inequality(Double2, Double2)

Tests for inequality between two objects.

public static bool operator !=(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first value to compare.
Double2	right	The second value to compare.

Returns

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

Multiply(Double2, Double2)

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

public static Double2 operator *(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to multiply.
Double2	right	The second vector to multiply.

Returns

Type	Description
Double2	The multiplication of the two vectors.

Multiply(Double2, Double)

Scales a vector by the given value.

public static Double2 operator *(Double2 value, double scale)

Parameters

Type	Name	Description
Double2	value	The vector to scale.
System.Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Double2	The scaled vector.

Multiply(Double, Double2)

Scales a vector by the given value.

public static Double2 operator *(double scale, Double2 value)

Parameters

Type	Name	Description
System.Double	scale	The amount by which to scale the vector.
Double2	value	The vector to scale.

Returns

Type	Description
Double2	The scaled vector.

Subtraction(Double2, Double2)

Subtracts two vectors.

public static Double2 operator -(Double2 left, Double2 right)

Parameters

Type	Name	Description
Double2	left	The first vector to subtract.
Double2	right	The second vector to subtract.

Returns

Type	Description
Double2	The difference of the two vectors.

UnaryNegation(Double2)

Reverses the direction of a given vector.

public static Double2 operator -(Double2 value)

Parameters

Type	Name	Description
Double2	value	The vector to negate.

Returns

Type	Description
Double2	A vector facing in the opposite direction.

UnaryPlus(Double2)

Assert a vector (return it unchanged).

public static Double2 operator +(Double2 value)

Parameters

Type	Name	Description
Double2	value	The vector to assert (unchange).

Returns

Type	Description
Double2	The asserted (unchanged) vector.

Extension Methods

ComponentBaseExtensions.DisposeBy<T>(T, ICollectorHolder)

ComponentBaseExtensions.RemoveDisposeBy<T>(T, ICollectorHolder)