Struct Vector3d

Represents a 3D vector using three double-precision floating-point numbers.

Implements

IEquatable<Vector3d>

Inherited Members

Object.Equals(Object, Object)

Object.ReferenceEquals(Object, Object)

Object.GetType()

Namespace: OpenTK

Assembly: OpenTK.dll

Syntax

[Serializable]
public struct Vector3d : IEquatable<Vector3d>

Constructors

Vector3d(Vector2d)

Constructs a new instance from the given Vector2d.

Declaration

public Vector3d(Vector2d v)

Parameters

Type	Name	Description
Vector2d	v	The Vector2d to copy components from.

Vector3d(Vector3d)

Constructs a new instance from the given Vector3d.

Declaration

public Vector3d(Vector3d v)

Parameters

Type	Name	Description
Vector3d	v	The Vector3d to copy components from.

Vector3d(Vector4d)

Constructs a new instance from the given Vector4d.

Declaration

public Vector3d(Vector4d v)

Parameters

Type	Name	Description
Vector4d	v	The Vector4d to copy components from.

Vector3d(Double)

Constructs a new instance.

Declaration

public Vector3d(double value)

Parameters

Type	Name	Description
Double	value	The value that will initialize this instance.

Vector3d(Double, Double, Double)

Constructs a new Vector3.

Declaration

public Vector3d(double x, double y, double z)

Parameters

Type	Name	Description
Double	x	The x component of the Vector3.
Double	y	The y component of the Vector3.
Double	z	The z component of the Vector3.

Fields

One

Defines an instance with all components set to 1.

Declaration

public static readonly Vector3d One

Field Value

Type	Description
Vector3d

SizeInBytes

Defines the size of the Vector3d struct in bytes.

Declaration

public static readonly int SizeInBytes

Field Value

Type	Description
Int32

UnitX

Defines a unit-length Vector3d that points towards the X-axis.

Declaration

public static readonly Vector3d UnitX

Field Value

Type	Description
Vector3d

UnitY

Defines a unit-length Vector3d that points towards the Y-axis.

Declaration

public static readonly Vector3d UnitY

Field Value

Type	Description
Vector3d

UnitZ

Defines a unit-length Vector3d that points towards the Z-axis.

Declaration

public static readonly Vector3d UnitZ

Field Value

Type	Description
Vector3d

X

The X component of the Vector3.

Declaration

public double X

Field Value

Type	Description
Double

Y

The Y component of the Vector3.

Declaration

public double Y

Field Value

Type	Description
Double

Z

The Z component of the Vector3.

Declaration

public double Z

Field Value

Type	Description
Double

Zero

Defines a zero-length Vector3.

Declaration

public static readonly Vector3d Zero

Field Value

Type	Description
Vector3d

Properties

Item[Int32]

Gets or sets the value at the index of the Vector.

Declaration

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

Parameters

Type	Name	Description
Int32	index

Property Value

Type	Description
Double

Length

Gets the length (magnitude) of the vector.

Declaration

public readonly double Length { get; }

Property Value

Type	Description
Double

See Also

LengthSquared

LengthFast

Gets an approximation of the vector length (magnitude).

Declaration

public readonly double LengthFast { get; }

Property Value

Type	Description
Double

Remarks

This property uses an approximation of the square root function to calculate vector magnitude, with an upper error bound of 0.001.

See Also

LengthSquared

LengthSquared

Gets the square of the vector length (magnitude).

Declaration

public readonly double LengthSquared { get; }

Property Value

Type	Description
Double

Remarks

This property avoids the costly square root operation required by the Length property. This makes it more suitable for comparisons.

See Also

LengthFast

Xy

Gets or sets an OpenTK.Vector2d with the X and Y components of this instance.

Declaration

public Vector2d Xy { get; set; }

Property Value

Type	Description
Vector2d

Xz

Gets or sets an OpenTK.Vector2d with the X and Z components of this instance.

Declaration

public Vector2d Xz { get; set; }

Property Value

Type	Description
Vector2d

Xzy

Gets or sets an OpenTK.Vector3d with the X, Z, and Y components of this instance.

Declaration

public Vector3d Xzy { get; set; }

Property Value

Type	Description
Vector3d

Yx

Gets or sets an OpenTK.Vector2d with the Y and X components of this instance.

Declaration

public Vector2d Yx { get; set; }

Property Value

Type	Description
Vector2d

Yxz

Gets or sets an OpenTK.Vector3d with the Y, X, and Z components of this instance.

Declaration

public Vector3d Yxz { get; set; }

Property Value

Type	Description
Vector3d

Yz

Gets or sets an OpenTK.Vector2d with the Y and Z components of this instance.

Declaration

public Vector2d Yz { get; set; }

Property Value

Type	Description
Vector2d

Yzx

Gets or sets an OpenTK.Vector3d with the Y, Z, and X components of this instance.

Declaration

public Vector3d Yzx { get; set; }

Property Value

Type	Description
Vector3d

Zx

Gets or sets an OpenTK.Vector2d with the Z and X components of this instance.

Declaration

public Vector2d Zx { get; set; }

Property Value

Type	Description
Vector2d

Zxy

Gets or sets an OpenTK.Vector3d with the Z, X, and Y components of this instance.

Declaration

public Vector3d Zxy { get; set; }

Property Value

Type	Description
Vector3d

Zy

Gets or sets an OpenTK.Vector2d with the Z and Y components of this instance.

Declaration

public Vector2d Zy { get; set; }

Property Value

Type	Description
Vector2d

Zyx

Gets or sets an OpenTK.Vector3d with the Z, Y, and X components of this instance.

Declaration

public Vector3d Zyx { get; set; }

Property Value

Type	Description
Vector3d

Methods

Add(Vector3d, Vector3d)

Adds two vectors.

Declaration

public static Vector3d Add(Vector3d a, Vector3d b)

Parameters

Type	Name	Description
Vector3d	a	Left operand.
Vector3d	b	Right operand.

Returns

Type	Description
Vector3d	Result of operation.

Add(ref Vector3d, ref Vector3d, out Vector3d)

Adds two vectors.

Declaration

public static void Add(ref Vector3d a, ref Vector3d b, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	a	Left operand.
Vector3d	b	Right operand.
Vector3d	result	Result of operation.

BaryCentric(Vector3d, Vector3d, Vector3d, Double, Double)

Interpolate 3 Vectors using Barycentric coordinates

Declaration

public static Vector3d BaryCentric(Vector3d a, Vector3d b, Vector3d c, double u, double v)

Parameters

Type	Name	Description
Vector3d	a	First input Vector
Vector3d	b	Second input Vector
Vector3d	c	Third input Vector
Double	u	First Barycentric Coordinate
Double	v	Second Barycentric Coordinate

Returns

Type	Description
Vector3d	a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise

BaryCentric(ref Vector3d, ref Vector3d, ref Vector3d, Double, Double, out Vector3d)

Interpolate 3 Vectors using Barycentric coordinates

Declaration

public static void BaryCentric(ref Vector3d a, ref Vector3d b, ref Vector3d c, double u, double v, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	a	First input Vector.
Vector3d	b	Second input Vector.
Vector3d	c	Third input Vector.
Double	u	First Barycentric Coordinate.
Double	v	Second Barycentric Coordinate.
Vector3d	result	Output Vector. a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise

CalculateAngle(Vector3d, Vector3d)

Calculates the angle (in radians) between two vectors.

Declaration

public static double CalculateAngle(Vector3d first, Vector3d second)

Parameters

Type	Name	Description
Vector3d	first	The first vector.
Vector3d	second	The second vector.

Returns

Type	Description
Double	Angle (in radians) between the vectors.

Remarks

Note that the returned angle is never bigger than the constant Pi.

CalculateAngle(ref Vector3d, ref Vector3d, out Double)

Calculates the angle (in radians) between two vectors.

Declaration

public static void CalculateAngle(ref Vector3d first, ref Vector3d second, out double result)

Parameters

Type	Name	Description
Vector3d	first	The first vector.
Vector3d	second	The second vector.
Double	result	Angle (in radians) between the vectors.

Remarks

Note that the returned angle is never bigger than the constant Pi.

Clamp(Vector3d, Vector3d, Vector3d)

Clamp a vector to the given minimum and maximum vectors

Declaration

public static Vector3d Clamp(Vector3d vec, Vector3d min, Vector3d max)

Parameters

Type	Name	Description
Vector3d	vec	Input vector
Vector3d	min	Minimum vector
Vector3d	max	Maximum vector

Returns

Type	Description
Vector3d	The clamped vector

Clamp(ref Vector3d, ref Vector3d, ref Vector3d, out Vector3d)

Clamp a vector to the given minimum and maximum vectors

Declaration

public static void Clamp(ref Vector3d vec, ref Vector3d min, ref Vector3d max, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	Input vector
Vector3d	min	Minimum vector
Vector3d	max	Maximum vector
Vector3d	result	The clamped vector

ComponentMax(Vector3d, Vector3d)

Returns a vector created from the largest of the corresponding components of the given vectors.

Declaration

public static Vector3d ComponentMax(Vector3d a, Vector3d b)

Parameters

Type	Name	Description
Vector3d	a	First operand
Vector3d	b	Second operand

Returns

Type	Description
Vector3d	The component-wise maximum

ComponentMax(ref Vector3d, ref Vector3d, out Vector3d)

Returns a vector created from the largest of the corresponding components of the given vectors.

Declaration

public static void ComponentMax(ref Vector3d a, ref Vector3d b, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	a	First operand
Vector3d	b	Second operand
Vector3d	result	The component-wise maximum

ComponentMin(Vector3d, Vector3d)

Returns a vector created from the smallest of the corresponding components of the given vectors.

Declaration

public static Vector3d ComponentMin(Vector3d a, Vector3d b)

Parameters

Type	Name	Description
Vector3d	a	First operand
Vector3d	b	Second operand

Returns

Type	Description
Vector3d	The component-wise minimum

ComponentMin(ref Vector3d, ref Vector3d, out Vector3d)

Returns a vector created from the smallest of the corresponding components of the given vectors.

Declaration

public static void ComponentMin(ref Vector3d a, ref Vector3d b, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	a	First operand
Vector3d	b	Second operand
Vector3d	result	The component-wise minimum

Cross(Vector3d, Vector3d)

Caclulate the cross (vector) product of two vectors

Declaration

public static Vector3d Cross(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	First operand
Vector3d	right	Second operand

Returns

Type	Description
Vector3d	The cross product of the two inputs

Cross(ref Vector3d, ref Vector3d, out Vector3d)

Caclulate the cross (vector) product of two vectors

Declaration

public static void Cross(ref Vector3d left, ref Vector3d right, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	left	First operand
Vector3d	right	Second operand
Vector3d	result	The cross product of the two inputs

Remarks

It is incorrect to call this method passing the same variable for result as for left or right.

Distance(Vector3d, Vector3d)

Compute the euclidean distance between two vectors.

Declaration

public static double Distance(Vector3d vec1, Vector3d vec2)

Parameters

Type	Name	Description
Vector3d	vec1	The first vector
Vector3d	vec2	The second vector

Returns

Type	Description
Double	The distance

Distance(ref Vector3d, ref Vector3d, out Double)

Compute the euclidean distance between two vectors.

Declaration

public static void Distance(ref Vector3d vec1, ref Vector3d vec2, out double result)

Parameters

Type	Name	Description
Vector3d	vec1	The first vector
Vector3d	vec2	The second vector
Double	result	The distance

DistanceSquared(Vector3d, Vector3d)

Compute the squared euclidean distance between two vectors.

Declaration

public static double DistanceSquared(Vector3d vec1, Vector3d vec2)

Parameters

Type	Name	Description
Vector3d	vec1	The first vector
Vector3d	vec2	The second vector

Returns

Type	Description
Double	The squared distance

DistanceSquared(ref Vector3d, ref Vector3d, out Double)

Compute the squared euclidean distance between two vectors.

Declaration

public static void DistanceSquared(ref Vector3d vec1, ref Vector3d vec2, out double result)

Parameters

Type	Name	Description
Vector3d	vec1	The first vector
Vector3d	vec2	The second vector
Double	result	The squared distance

Divide(Vector3d, Vector3d)

Divides a vector by the components of a vector (scale).

Declaration

public static Vector3d Divide(Vector3d vector, Vector3d scale)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Vector3d	scale	Right operand.

Returns

Type	Description
Vector3d	Result of the operation.

Divide(Vector3d, Double)

Divides a vector by a scalar.

Declaration

public static Vector3d Divide(Vector3d vector, double scale)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Double	scale	Right operand.

Returns

Type	Description
Vector3d	Result of the operation.

Divide(ref Vector3d, ref Vector3d, out Vector3d)

Divide a vector by the components of a vector (scale).

Declaration

public static void Divide(ref Vector3d vector, ref Vector3d scale, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Vector3d	scale	Right operand.
Vector3d	result	Result of the operation.

Divide(ref Vector3d, Double, out Vector3d)

Divides a vector by a scalar.

Declaration

public static void Divide(ref Vector3d vector, double scale, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Double	scale	Right operand.
Vector3d	result	Result of the operation.

Dot(Vector3d, Vector3d)

Calculate the dot (scalar) product of two vectors

Declaration

public static double Dot(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	First operand
Vector3d	right	Second operand

Returns

Type	Description
Double	The dot product of the two inputs

Dot(ref Vector3d, ref Vector3d, out Double)

Calculate the dot (scalar) product of two vectors

Declaration

public static void Dot(ref Vector3d left, ref Vector3d right, out double result)

Parameters

Type	Name	Description
Vector3d	left	First operand
Vector3d	right	Second operand
Double	result	The dot product of the two inputs

Equals(Vector3d)

Indicates whether the current vector is equal to another vector.

Declaration

public bool Equals(Vector3d other)

Parameters

Type	Name	Description
Vector3d	other	A vector to compare with this vector.

Returns

Type	Description
Boolean	true if the current vector is equal to the vector parameter; otherwise, false.

Equals(Object)

Indicates whether this instance and a specified object are equal.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
Object	obj	The object to compare to.

Returns

Type	Description
Boolean	True if the instances are equal; false otherwise.

Overrides

ValueType.Equals(Object)

GetHashCode()

Returns the hashcode for this instance.

Declaration

public override int GetHashCode()

Returns

Type	Description
Int32	A System.Int32 containing the unique hashcode for this instance.

Overrides

ValueType.GetHashCode()

Lerp(Vector3d, Vector3d, Double)

Returns a new Vector that is the linear blend of the 2 given Vectors

Declaration

public static Vector3d Lerp(Vector3d a, Vector3d b, double blend)

Parameters

Type	Name	Description
Vector3d	a	First input vector
Vector3d	b	Second input vector
Double	blend	The blend factor. a when blend=0, b when blend=1.

Returns

Type	Description
Vector3d	a when blend=0, b when blend=1, and a linear combination otherwise

Lerp(ref Vector3d, ref Vector3d, Double, out Vector3d)

Returns a new Vector that is the linear blend of the 2 given Vectors

Declaration

public static void Lerp(ref Vector3d a, ref Vector3d b, double blend, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	a	First input vector
Vector3d	b	Second input vector
Double	blend	The blend factor. a when blend=0, b when blend=1.
Vector3d	result	a when blend=0, b when blend=1, and a linear combination otherwise

MagnitudeMax(Vector3d, Vector3d)

Returns the Vector3d with the minimum magnitude

Declaration

public static Vector3d MagnitudeMax(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	Left operand
Vector3d	right	Right operand

Returns

Type	Description
Vector3d	The minimum Vector3d

MagnitudeMax(ref Vector3d, ref Vector3d, out Vector3d)

Returns the Vector3d with the maximum magnitude

Declaration

public static void MagnitudeMax(ref Vector3d left, ref Vector3d right, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	left	Left operand
Vector3d	right	Right operand
Vector3d	result	The magnitude-wise maximum

MagnitudeMin(Vector3d, Vector3d)

Returns the Vector3d with the minimum magnitude

Declaration

public static Vector3d MagnitudeMin(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	Left operand
Vector3d	right	Right operand

Returns

Type	Description
Vector3d	The minimum Vector3d

MagnitudeMin(ref Vector3d, ref Vector3d, out Vector3d)

Returns the Vector3d with the minimum magnitude

Declaration

public static void MagnitudeMin(ref Vector3d left, ref Vector3d right, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	left	Left operand
Vector3d	right	Right operand
Vector3d	result	The magnitude-wise minimum

Max(Vector3d, Vector3d)

Returns the Vector3d with the minimum magnitude

Declaration

[Obsolete("Use MagnitudeMax() instead.")]
public static Vector3d Max(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	Left operand
Vector3d	right	Right operand

Returns

Type	Description
Vector3d	The minimum Vector3

Min(Vector3d, Vector3d)

Returns the Vector3d with the minimum magnitude

Declaration

[Obsolete("Use MagnitudeMin() instead.")]
public static Vector3d Min(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	Left operand
Vector3d	right	Right operand

Returns

Type	Description
Vector3d	The minimum Vector3

Multiply(Vector3d, Vector3d)

Multiplies a vector by the components a vector (scale).

Declaration

public static Vector3d Multiply(Vector3d vector, Vector3d scale)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Vector3d	scale	Right operand.

Returns

Type	Description
Vector3d	Result of the operation.

Multiply(Vector3d, Double)

Multiplies a vector by a scalar.

Declaration

public static Vector3d Multiply(Vector3d vector, double scale)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Double	scale	Right operand.

Returns

Type	Description
Vector3d	Result of the operation.

Multiply(ref Vector3d, ref Vector3d, out Vector3d)

Multiplies a vector by the components of a vector (scale).

Declaration

public static void Multiply(ref Vector3d vector, ref Vector3d scale, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Vector3d	scale	Right operand.
Vector3d	result	Result of the operation.

Multiply(ref Vector3d, Double, out Vector3d)

Multiplies a vector by a scalar.

Declaration

public static void Multiply(ref Vector3d vector, double scale, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vector	Left operand.
Double	scale	Right operand.
Vector3d	result	Result of the operation.

Normalize()

Scales the Vector3d to unit length.

Declaration

public void Normalize()

Normalize(Vector3d)

Scale a vector to unit length

Declaration

public static Vector3d Normalize(Vector3d vec)

Parameters

Type	Name	Description
Vector3d	vec	The input vector

Returns

Type	Description
Vector3d	The normalized vector

Normalize(ref Vector3d, out Vector3d)

Scale a vector to unit length

Declaration

public static void Normalize(ref Vector3d vec, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	The input vector
Vector3d	result	The normalized vector

Normalized()

Returns a copy of the Vector3d scaled to unit length.

Declaration

public Vector3d Normalized()

Returns

Type	Description
Vector3d

NormalizeFast()

Scales the Vector3d to approximately unit length.

Declaration

public void NormalizeFast()

NormalizeFast(Vector3d)

Scale a vector to approximately unit length

Declaration

public static Vector3d NormalizeFast(Vector3d vec)

Parameters

Type	Name	Description
Vector3d	vec	The input vector

Returns

Type	Description
Vector3d	The normalized vector

NormalizeFast(ref Vector3d, out Vector3d)

Scale a vector to approximately unit length

Declaration

public static void NormalizeFast(ref Vector3d vec, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	The input vector
Vector3d	result	The normalized vector

Subtract(Vector3d, Vector3d)

Subtract one Vector from another

Declaration

public static Vector3d Subtract(Vector3d a, Vector3d b)

Parameters

Type	Name	Description
Vector3d	a	First operand
Vector3d	b	Second operand

Returns

Type	Description
Vector3d	Result of subtraction

Subtract(ref Vector3d, ref Vector3d, out Vector3d)

Subtract one Vector from another

Declaration

public static void Subtract(ref Vector3d a, ref Vector3d b, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	a	First operand
Vector3d	b	Second operand
Vector3d	result	Result of subtraction

ToString()

Returns a System.String that represents the current Vector3.

Declaration

public override string ToString()

Returns

Type	Description
String

Overrides

ValueType.ToString()

Transform(Vector3d, Matrix4d)

Transform a Vector by the given Matrix

Declaration

public static Vector3d Transform(Vector3d vec, Matrix4d mat)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform
Matrix4d	mat	The desired transformation

Returns

Type	Description
Vector3d	The transformed vector

Transform(Vector3d, Quaterniond)

Transforms a vector by a quaternion rotation.

Declaration

public static Vector3d Transform(Vector3d vec, Quaterniond quat)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform.
Quaterniond	quat	The quaternion to rotate the vector by.

Returns

Type	Description
Vector3d	The result of the operation.

Transform(ref Vector3d, ref Matrix4d, out Vector3d)

Transform a Vector by the given Matrix

Declaration

public static void Transform(ref Vector3d vec, ref Matrix4d mat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform
Matrix4d	mat	The desired transformation
Vector3d	result	The transformed vector

Remarks

It is incorrect to call this method passing the same variable for result as for left or right.

Transform(ref Vector3d, ref Quaterniond, out Vector3d)

Transforms a vector by a quaternion rotation.

Declaration

public static void Transform(ref Vector3d vec, ref Quaterniond quat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform.
Quaterniond	quat	The quaternion to rotate the vector by.
Vector3d	result	The result of the operation.

TransformNormal(Vector3d, Matrix4d)

Transform a Normal by the given Matrix

Declaration

public static Vector3d TransformNormal(Vector3d norm, Matrix4d mat)

Parameters

Type	Name	Description
Vector3d	norm	The normal to transform
Matrix4d	mat	The desired transformation

Returns

Type	Description
Vector3d	The transformed normal

Remarks

This calculates the inverse of the given matrix, use TransformNormalInverse if you already have the inverse to avoid this extra calculation

TransformNormal(ref Vector3d, ref Matrix4d, out Vector3d)

Transform a Normal by the given Matrix

Declaration

public static void TransformNormal(ref Vector3d norm, ref Matrix4d mat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	norm	The normal to transform
Matrix4d	mat	The desired transformation
Vector3d	result	The transformed normal

Remarks

This calculates the inverse of the given matrix, use TransformNormalInverse if you already have the inverse to avoid this extra calculation

TransformNormalInverse(Vector3d, Matrix4d)

Transform a Normal by the (transpose of the) given Matrix

Declaration

public static Vector3d TransformNormalInverse(Vector3d norm, Matrix4d invMat)

Parameters

Type	Name	Description
Vector3d	norm	The normal to transform
Matrix4d	invMat	The inverse of the desired transformation

Returns

Type	Description
Vector3d	The transformed normal

Remarks

This version doesn't calculate the inverse matrix. Use this version if you already have the inverse of the desired transform to hand

TransformNormalInverse(ref Vector3d, ref Matrix4d, out Vector3d)

Transform a Normal by the (transpose of the) given Matrix

Declaration

public static void TransformNormalInverse(ref Vector3d norm, ref Matrix4d invMat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	norm	The normal to transform
Matrix4d	invMat	The inverse of the desired transformation
Vector3d	result	The transformed normal

Remarks

This version doesn't calculate the inverse matrix. Use this version if you already have the inverse of the desired transform to hand

TransformPerspective(Vector3d, Matrix4d)

Transform a Vector3d by the given Matrix, and project the resulting Vector4 back to a Vector3

Declaration

public static Vector3d TransformPerspective(Vector3d vec, Matrix4d mat)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform
Matrix4d	mat	The desired transformation

Returns

Type	Description
Vector3d	The transformed vector

TransformPerspective(ref Vector3d, ref Matrix4d, out Vector3d)

Transform a Vector3d by the given Matrix, and project the resulting Vector4d back to a Vector3d

Declaration

public static void TransformPerspective(ref Vector3d vec, ref Matrix4d mat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform
Matrix4d	mat	The desired transformation
Vector3d	result	The transformed vector

TransformPosition(Vector3d, Matrix4d)

Transform a Position by the given Matrix

Declaration

public static Vector3d TransformPosition(Vector3d pos, Matrix4d mat)

Parameters

Type	Name	Description
Vector3d	pos	The position to transform
Matrix4d	mat	The desired transformation

Returns

Type	Description
Vector3d	The transformed position

TransformPosition(ref Vector3d, ref Matrix4d, out Vector3d)

Transform a Position by the given Matrix

Declaration

public static void TransformPosition(ref Vector3d pos, ref Matrix4d mat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	pos	The position to transform
Matrix4d	mat	The desired transformation
Vector3d	result	The transformed position

TransformVector(Vector3d, Matrix4d)

Transform a direction vector by the given Matrix Assumes the matrix has a bottom row of (0,0,0,1), that is the translation part is ignored.

Declaration

public static Vector3d TransformVector(Vector3d vec, Matrix4d mat)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform
Matrix4d	mat	The desired transformation

Returns

Type	Description
Vector3d	The transformed vector

TransformVector(ref Vector3d, ref Matrix4d, out Vector3d)

Transform a direction vector by the given Matrix Assumes the matrix has a bottom row of (0,0,0,1), that is the translation part is ignored.

Declaration

public static void TransformVector(ref Vector3d vec, ref Matrix4d mat, out Vector3d result)

Parameters

Type	Name	Description
Vector3d	vec	The vector to transform
Matrix4d	mat	The desired transformation
Vector3d	result	The transformed vector

Remarks

It is incorrect to call this method passing the same variable for result as for vec.

Operators

Addition(Vector3d, Vector3d)

Adds two instances.

Declaration

public static Vector3d operator +(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	The first instance.
Vector3d	right	The second instance.

Returns

Type	Description
Vector3d	The result of the calculation.

Division(Vector3d, Double)

Divides an instance by a scalar.

Declaration

public static Vector3d operator /(Vector3d vec, double scale)

Parameters

Type	Name	Description
Vector3d	vec	The instance.
Double	scale	The scalar.

Returns

Type	Description
Vector3d	The result of the calculation.

Equality(Vector3d, Vector3d)

Compares two instances for equality.

Declaration

public static bool operator ==(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	The first instance.
Vector3d	right	The second instance.

Returns

Type	Description
Boolean	True, if left equals right; false otherwise.

Explicit(Vector3 to Vector3d)

Converts OpenTK.Vector3 to OpenTK.Vector3d.

Declaration

public static explicit operator Vector3d(Vector3 v3)

Parameters

Type	Name	Description
Vector3	v3	The Vector3 to convert.

Returns

Type	Description
Vector3d	The resulting Vector3d.

Explicit(Vector3d to Vector3)

Converts OpenTK.Vector3d to OpenTK.Vector3.

Declaration

public static explicit operator Vector3(Vector3d v3d)

Parameters

Type	Name	Description
Vector3d	v3d	The Vector3d to convert.

Returns

Type	Description
Vector3	The resulting Vector3.

Inequality(Vector3d, Vector3d)

Compares two instances for inequality.

Declaration

public static bool operator !=(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	The first instance.
Vector3d	right	The second instance.

Returns

Type	Description
Boolean	True, if left does not equa lright; false otherwise.

Multiply(Vector3d, Vector3d)

Component-wise multiplication between the specified instance by a scale vector.

Declaration

public static Vector3d operator *(Vector3d vec, Vector3d scale)

Parameters

Type	Name	Description
Vector3d	vec	Right operand.
Vector3d	scale	Left operand.

Returns

Type	Description
Vector3d	Result of multiplication.

Multiply(Vector3d, Double)

Multiplies an instance by a scalar.

Declaration

public static Vector3d operator *(Vector3d vec, double scale)

Parameters

Type	Name	Description
Vector3d	vec	The instance.
Double	scale	The scalar.

Returns

Type	Description
Vector3d	The result of the calculation.

Multiply(Double, Vector3d)

Multiplies an instance by a scalar.

Declaration

public static Vector3d operator *(double scale, Vector3d vec)

Parameters

Type	Name	Description
Double	scale	The scalar.
Vector3d	vec	The instance.

Returns

Type	Description
Vector3d	The result of the calculation.

Subtraction(Vector3d, Vector3d)

Subtracts two instances.

Declaration

public static Vector3d operator -(Vector3d left, Vector3d right)

Parameters

Type	Name	Description
Vector3d	left	The first instance.
Vector3d	right	The second instance.

Returns

Type	Description
Vector3d	The result of the calculation.

UnaryNegation(Vector3d)

Negates an instance.

Declaration

public static Vector3d operator -(Vector3d vec)

Parameters

Type	Name	Description
Vector3d	vec	The instance.

Returns

Type	Description
Vector3d	The result of the calculation.

Implements

System.IEquatable<T>