Struct Double2

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

Implements

IEquatable<Double2>

IFormattable

Constructors

Double2(Vector2)

Initializes a new instance of the Double2 struct.

public Double2(Vector2 v)

Parameters

v Vector2

The Vector2 to construct the Double2 from.

Double2(double)

Initializes a new instance of the Double2 struct.

public Double2(double value)

Parameters

value double

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

x double

Initial value for the X component of the vector.

y double

Initial value for the Y component of the vector.

Double2(double[])

Initializes a new instance of the Double2 struct.

public Double2(double[] values)

Parameters

values double[]

The values to assign to the X and Y components of the vector. This must be an array with two elements.

Exceptions

ArgumentNullException

Thrown when values is null.

ArgumentOutOfRangeException

Thrown when values contains more or less than two elements.

Fields

One

A Double2 with all of its components set to one.

public static readonly Double2 One

Field Value

Double2

SizeInBytes

The size of the Double2 type, in bytes.

public static readonly int SizeInBytes

Field Value

int

UnitX

The X unit Double2 (1, 0).

public static readonly Double2 UnitX

Field Value

Double2

UnitY

The Y unit Double2 (0, 1).

public static readonly Double2 UnitY

Field Value

Double2

X

The X component of the vector.

[DataMember(0)]
public double X

Field Value

double

Y

The Y component of the vector.

[DataMember(1)]
public double Y

Field Value

double

Zero

A Double2 with all of its components set to zero.

public static readonly Double2 Zero

Field Value

Double2

Properties

IsNormalized

Gets a value indicting whether this instance is normalized.

public bool IsNormalized { get; }

Property Value

bool

this[int]

Gets or sets the component at the specified index.

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

Parameters

index int

The index of the component to access. Use 0 for the X component and 1 for the Y component.

Property Value

double

The value of the X or Y component, depending on the index.

Exceptions

ArgumentOutOfRangeException

Thrown when the index is out of the range [0, 1].

Methods

Add(Double2, Double2)

Adds two vectors.

public static Double2 Add(Double2 left, Double2 right)

Parameters

left Double2

The first vector to add.

right Double2

The second vector to add.

Returns

Double2

The sum of the two vectors.

Add(ref readonly Double2, ref readonly Double2, out Double2)

Adds two vectors.

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

Parameters

left Double2

The first vector to add.

right Double2

The second vector to add.

result Double2

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

value1 Double2

A Double2 containing the 2D Cartesian coordinates of vertex 1 of the triangle.

value2 Double2

A Double2 containing the 2D Cartesian coordinates of vertex 2 of the triangle.

value3 Double2

A Double2 containing the 2D Cartesian coordinates of vertex 3 of the triangle.

amount1 double

Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in value2).

amount2 double

Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in value3).

Returns

Double2

A new Double2 containing the 2D Cartesian coordinates of the specified point.

Barycentric(ref readonly Double2, ref readonly Double2, ref readonly 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 readonly Double2 value1, ref readonly Double2 value2, ref readonly Double2 value3, double amount1, double amount2, out Double2 result)

Parameters

value1 Double2

A Double2 containing the 2D Cartesian coordinates of vertex 1 of the triangle.

value2 Double2

A Double2 containing the 2D Cartesian coordinates of vertex 2 of the triangle.

value3 Double2

A Double2 containing the 2D Cartesian coordinates of vertex 3 of the triangle.

amount1 double

Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in value2).

amount2 double

Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in value3).

result Double2

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

value1 Double2

The first position in the interpolation.

value2 Double2

The second position in the interpolation.

value3 Double2

The third position in the interpolation.

value4 Double2

The fourth position in the interpolation.

amount double

Weighting factor.

Returns

Double2

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

CatmullRom(ref readonly Double2, ref readonly Double2, ref readonly Double2, ref readonly Double2, double, out Double2)

Performs a Catmull-Rom interpolation using the specified positions.

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

Parameters

value1 Double2

The first position in the interpolation.

value2 Double2

The second position in the interpolation.

value3 Double2

The third position in the interpolation.

value4 Double2

The fourth position in the interpolation.

amount double

Weighting factor.

result Double2

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

value Double2

The value to clamp.

min Double2

The minimum value.

max Double2

The maximum value.

Returns

Double2

The clamped value.

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

Restricts a value to be within a specified range.

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

Parameters

value Double2

The value to clamp.

min Double2

The minimum value.

max Double2

The maximum value.

result Double2

When the method completes, contains the clamped value.

Deconstruct(out double, out double)

Deconstructs the vector's components into named variables.

public void Deconstruct(out double x, out double y)

Parameters

x double

The X component

y double

The Y component

Demodulate(Double2, Double2)

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

public static Double2 Demodulate(Double2 left, Double2 right)

Parameters

left Double2

The first vector to demodulate.

right Double2

The second vector to demodulate.

Returns

Double2

The demodulated vector.

Demodulate(ref readonly Double2, ref readonly Double2, out Double2)

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

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

Parameters

left Double2

The first vector to demodulate.

right Double2

The second vector to demodulate.

result Double2

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

value1 Double2

The first vector.

value2 Double2

The second vector.

Returns

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 readonly Double2, ref readonly Double2, out double)

Calculates the distance between two vectors.

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

Parameters

value1 Double2

The first vector.

value2 Double2

The second vector.

result double

When the method completes, contains the distance between the two vectors.

Remarks

DistanceSquared(ref readonly Double2, ref readonly 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

value1 Double2

The first vector.

value2 Double2

The second vector.

Returns

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 readonly Double2, ref readonly Double2, out double)

Calculates the squared distance between two vectors.

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

Parameters

value1 Double2

The first vector.

value2 Double2

The second vector

result double

When the method completes, contains 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.

Divide(Double2, double)

Scales a vector by the given value.

public static Double2 Divide(Double2 value, double scale)

Parameters

value Double2

The vector to scale.

scale double

The amount by which to scale the vector.

Returns

Double2

The scaled vector.

Divide(ref readonly Double2, double, out Double2)

Scales a vector by the given value.

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

Parameters

value Double2

The vector to scale.

scale double

The amount by which to scale the vector.

result Double2

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

left Double2

First source vector.

right Double2

Second source vector.

Returns

double

The dot product of the two vectors.

Dot(ref readonly Double2, ref readonly Double2, out double)

Calculates the dot product of two vectors.

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

Parameters

left Double2

First source vector.

right Double2

Second source vector.

result double

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

other Double2

The Double2 to compare with this instance.

Returns

bool

true if the specified Double2 is equal to this instance; otherwise, false.

Equals(object)

Determines whether the specified object is equal to this instance.

public override bool Equals(object value)

Parameters

value object

The object to compare with this instance.

Returns

bool

true if the specified object is equal to this instance; otherwise, false.

GetHashCode()

Returns a hash code for this instance.

public override int GetHashCode()

Returns

int

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

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

value1 Double2

First source position vector.

tangent1 Double2

First source tangent vector.

value2 Double2

Second source position vector.

tangent2 Double2

Second source tangent vector.

amount double

Weighting factor.

Returns

Double2

The result of the Hermite spline interpolation.

Hermite(ref readonly Double2, ref readonly Double2, ref readonly Double2, ref readonly Double2, double, out Double2)

Performs a Hermite spline interpolation.

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

Parameters

value1 Double2

First source position vector.

tangent1 Double2

First source tangent vector.

value2 Double2

Second source position vector.

tangent2 Double2

Second source tangent vector.

amount double

Weighting factor.

result Double2

When the method completes, contains the result of the Hermite spline interpolation.

Length()

Calculates the length of the vector.

public double Length()

Returns

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

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

start Double2

Start vector.

end Double2

End vector.

amount double

Value between 0 and 1 indicating the weight of end.

Returns

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 readonly Double2, ref readonly Double2, double, out Double2)

Performs a linear interpolation between two vectors.

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

Parameters

start Double2

Start vector.

end Double2

End vector.

amount double

Value between 0 and 1 indicating the weight of end.

result Double2

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

left Double2

The first source vector.

right Double2

The second source vector.

Returns

Double2

A vector containing the largest components of the source vectors.

Max(ref readonly Double2, ref readonly Double2, out Double2)

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

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

Parameters

left Double2

The first source vector.

right Double2

The second source vector.

result Double2

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

left Double2

The first source vector.

right Double2

The second source vector.

Returns

Double2

A vector containing the smallest components of the source vectors.

Min(ref readonly Double2, ref readonly Double2, out Double2)

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

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

Parameters

left Double2

The first source vector.

right Double2

The second source vector.

result Double2

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

left Double2

The first vector to modulate.

right Double2

The second vector to modulate.

Returns

Double2

The modulated vector.

Modulate(ref readonly Double2, ref readonly Double2, out Double2)

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

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

Parameters

left Double2

The first vector to modulate.

right Double2

The second vector to modulate.

result Double2

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

value Double2

The vector to scale.

scale double

The amount by which to scale the vector.

Returns

Double2

The scaled vector.

Multiply(ref readonly Double2, double, out Double2)

Scales a vector by the given value.

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

Parameters

value Double2

The vector to scale.

scale double

The amount by which to scale the vector.

result Double2

When the method completes, contains the scaled vector.

Negate(Double2)

Reverses the direction of a given vector.

public static Double2 Negate(Double2 value)

Parameters

value Double2

The vector to negate.

Returns

Double2

A vector facing in the opposite direction.

Negate(ref readonly Double2, out Double2)

Reverses the direction of a given vector.

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

Parameters

value Double2

The vector to negate.

result Double2

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

value Double2

The vector to normalize.

Returns

Double2

The normalized vector.

Normalize(ref readonly Double2, out Double2)

Converts the vector into a unit vector.

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

Parameters

value Double2

The vector to normalize.

result Double2

When the method completes, contains the normalized vector.

Orthogonalize(Double2[], params Double2[])

Orthogonalizes a list of vectors.

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

Parameters

destination Double2[]

The list of orthogonalized vectors.

source Double2[]

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

ArgumentNullException

Thrown when source or destination is null.

ArgumentOutOfRangeException

Thrown when destination is shorter in length than source.

Orthonormalize(Double2[], params Double2[])

Orthonormalizes a list of vectors.

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

Parameters

destination Double2[]

The list of orthonormalized vectors.

source Double2[]

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.

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

ArgumentNullException

Thrown when source or destination is null.

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

vector Double2

The source vector.

normal Double2

Normal of the surface.

Returns

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 readonly Double2, ref readonly Double2, out Double2)

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

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

Parameters

vector Double2

The source vector.

normal Double2

Normal of the surface.

result Double2

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

start Double2

Start vector.

end Double2

End vector.

amount double

Value between 0 and 1 indicating the weight of end.

Returns

Double2

The cubic interpolation of the two vectors.

SmoothStep(ref readonly Double2, ref readonly Double2, double, out Double2)

Performs a cubic interpolation between two vectors.

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

Parameters

start Double2

Start vector.

end Double2

End vector.

amount double

Value between 0 and 1 indicating the weight of end.

result Double2

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

left Double2

The first vector to subtract.

right Double2

The second vector to subtract.

Returns

Double2

The difference of the two vectors.

Subtract(ref readonly Double2, ref readonly Double2, out Double2)

Subtracts two vectors.

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

Parameters

left Double2

The first vector to subtract.

right Double2

The second vector to subtract.

result Double2

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

double[]

A two-element array containing the components of the vector.

ToString()

Returns a string that represents this instance.

public override string ToString()

Returns

string

A string that represents this instance.

ToString(IFormatProvider)

Returns a string that represents this instance.

public string ToString(IFormatProvider formatProvider)

Parameters

formatProvider IFormatProvider

The format provider.

Returns

string

A string that represents this instance.

ToString(string)

Returns a string that represents this instance.

public string ToString(string format)

Parameters

format string

The format.

Returns

string

A string that represents this instance.

ToString(string, IFormatProvider)

Returns a string that represents this instance.

public string ToString(string format, IFormatProvider formatProvider)

Parameters

format string

The format.

formatProvider IFormatProvider

The format provider.

Returns

string

A 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

vector Double2

The source vector.

transform Matrix

The transformation Matrix.

Returns

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

vector Double2

The vector to rotate.

rotation Quaternion

The Quaternion rotation to apply.

Returns

Double2

The transformed Double4.

Transform(ref readonly Double2, ref readonly Matrix, out Double4)

Transforms a 2D vector by the given Matrix.

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

Parameters

vector Double2

The source vector.

transform Matrix

The transformation Matrix.

result Double4

When the method completes, contains the transformed Double4.

Transform(ref readonly Double2, ref readonly Quaternion, out Double2)

Transforms a 2D vector by the given Quaternion rotation.

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

Parameters

vector Double2

The vector to rotate.

rotation Quaternion

The Quaternion rotation to apply.

result Double2

When the method completes, contains the transformed Double4.

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

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

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

Parameters

source Double2[]

The array of vectors to transform.

transform Matrix

The transformation Matrix.

destination Double4[]

The array for which the transformed vectors are stored.

Exceptions

ArgumentNullException

Thrown when source or destination is null.

ArgumentOutOfRangeException

Thrown when destination is shorter in length than source.

Transform(Double2[], ref readonly Quaternion, Double2[])

Transforms an array of vectors by the given Quaternion rotation.

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

Parameters

source Double2[]

The array of vectors to transform.

rotation Quaternion

The Quaternion rotation to apply.

destination Double2[]

The array for which the transformed vectors are stored. This array may be the same array as source.

Exceptions

ArgumentNullException

Thrown when source or destination is null.

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

coordinate Double2

The coordinate vector to transform.

transform Matrix

The transformation Matrix.

Returns

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 readonly Double2, ref readonly Matrix, out Double2)

Performs a coordinate transformation using the given Matrix.

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

Parameters

coordinate Double2

The coordinate vector to transform.

transform Matrix

The transformation Matrix.

result Double2

When the method completes, contains 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(Double2[], ref readonly Matrix, Double2[])

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

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

Parameters

source Double2[]

The array of coordinate vectors to trasnform.

transform Matrix

The transformation Matrix.

destination Double2[]

The array for which the transformed vectors are stored. This array may be the same array as source.

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.

Exceptions

ArgumentNullException

Thrown when source or destination is null.

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

normal Double2

The normal vector to transform.

transform Matrix

The transformation Matrix.

Returns

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 readonly Double2, ref readonly Matrix, out Double2)

Performs a normal transformation using the given Matrix.

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

Parameters

normal Double2

The normal vector to transform.

transform Matrix

The transformation Matrix.

result Double2

When the method completes, contains 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(Double2[], ref readonly Matrix, Double2[])

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

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

Parameters

source Double2[]

The array of normal vectors to transform.

transform Matrix

The transformation Matrix.

destination Double2[]

The array for which the transformed vectors are stored. This array may be the same array as source.

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.

Exceptions

ArgumentNullException

Thrown when source or destination is null.

ArgumentOutOfRangeException

Thrown when destination is shorter in length than source.

Operators

operator +(Double2, Double2)

Adds two vectors.

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

Parameters

left Double2

The first vector to add.

right Double2

The second vector to add.

Returns

Double2

The sum of the two vectors.

operator /(Double2, Double2)

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

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

Parameters

value Double2

The vector to scale.

by Double2

The by.

Returns

Double2

The scaled vector.

operator /(Double2, double)

Scales a vector by the given value.

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

Parameters

value Double2

The vector to scale.

scale double

The amount by which to scale the vector.

Returns

Double2

The scaled vector.

operator /(double, Double2)

Divides a numerator by a vector.

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

Parameters

numerator double

The numerator.

value Double2

The value.

Returns

Double2

The scaled vector.

operator ==(Double2, Double2)

Tests for equality between two objects.

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

Parameters

left Double2

The first value to compare.

right Double2

The second value to compare.

Returns

bool

true if left has the same value as right; otherwise, false.

explicit operator Double3(Double2)

Performs an explicit conversion from Double2 to Double3.

public static explicit operator Double3(Double2 value)

Parameters

value Double2

The value.

Returns

Double3

The result of the conversion.

explicit operator Double4(Double2)

Performs an explicit conversion from Double2 to Double4.

public static explicit operator Double4(Double2 value)

Parameters

value Double2

The value.

Returns

Double4

The result of the conversion.

explicit operator Half2(Double2)

Performs an explicit conversion from Double2 to Half2.

public static explicit operator Half2(Double2 value)

Parameters

value Double2

The value.

Returns

Half2

The result of the conversion.

explicit operator Vector2(Double2)

Performs an explicit conversion from Double2 to Vector2.

public static explicit operator Vector2(Double2 value)

Parameters

value Double2

The value.

Returns

Vector2

The result of the conversion.

explicit operator Double2(Half2)

Performs an explicit conversion from Half2 to Double2.

public static explicit operator Double2(Half2 value)

Parameters

value Half2

The value.

Returns

Double2

The result of the conversion.

implicit operator Double2(Vector2)

Performs an implicit conversion from Vector2 to Double2.

public static implicit operator Double2(Vector2 value)

Parameters

value Vector2

The value.

Returns

Double2

The result of the conversion.

operator !=(Double2, Double2)

Tests for inequality between two objects.

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

Parameters

left Double2

The first value to compare.

right Double2

The second value to compare.

Returns

bool

true if left has a different value than right; otherwise, false.

operator *(Double2, Double2)

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

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

Parameters

left Double2

The first vector to multiply.

right Double2

The second vector to multiply.

Returns

Double2

The multiplication of the two vectors.

operator *(Double2, double)

Scales a vector by the given value.

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

Parameters

value Double2

The vector to scale.

scale double

The amount by which to scale the vector.

Returns

Double2

The scaled vector.

operator *(double, Double2)

Scales a vector by the given value.

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

Parameters

scale double

The amount by which to scale the vector.

value Double2

The vector to scale.

Returns

Double2

The scaled vector.

operator -(Double2, Double2)

Subtracts two vectors.

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

Parameters

left Double2

The first vector to subtract.

right Double2

The second vector to subtract.

Returns

Double2

The difference of the two vectors.

operator -(Double2)

Reverses the direction of a given vector.

public static Double2 operator -(Double2 value)

Parameters

value Double2

The vector to negate.

Returns

Double2

A vector facing in the opposite direction.

operator +(Double2)

Assert a vector (return it unchanged).

public static Double2 operator +(Double2 value)

Parameters

value Double2

The vector to assert (unchange).

Returns

Double2

The asserted (unchanged) vector.