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

Inheritance diagram for makVrl.Vector3d:

Collaboration diagram for makVrl.Vector3d:

Public Member Functions
	Vector3d (double value)
	Constructs a new instance. More...

	Vector3d (double x, double y, double z)
	Constructs a new Vector3. More...

	Vector3d (Vector2d v)
	Constructs a new instance from the given Vector2d. More...

	Vector3d (Vector3d v)
	Constructs a new instance from the given Vector3d. More...

	Vector3d (Vector4d v)
	Constructs a new instance from the given Vector4d. More...

void	Add (Vector3d right)
	Add the Vector passed as parameter to this instance. More...

void	Add (ref Vector3d right)
	Add the Vector passed as parameter to this instance. More...

void	Sub (Vector3d right)
	Subtract the Vector passed as parameter from this instance. More...

void	Sub (ref Vector3d right)
	Subtract the Vector passed as parameter from this instance. More...

void	Mult (double f)
	Multiply this instance by a scalar. More...

void	Div (double f)
	Divide this instance by a scalar. More...

Vector3d	Normalized ()
	Returns a copy of the Vector3d scaled to unit length. More...

void	Normalize ()
	Scales the Vector3d to unit length. More...

void	NormalizeFast ()
	Scales the Vector3d to approximately unit length. More...

void	Scale (double sx, double sy, double sz)
	Scales the current Vector3d by the given amounts. More...

void	Scale (Vector3d scale)
	Scales this instance by the given parameter. More...

void	Scale (ref Vector3d scale)
	Scales this instance by the given parameter. More...

override string	ToString ()
	Returns a System.String that represents the current Vector3. More...

override int	GetHashCode ()
	Returns the hashcode for this instance. More...

override bool	Equals (object obj)
	Indicates whether this instance and a specified object are equal. More...

bool	Equals (Vector3d other)
	Indicates whether the current vector is equal to another vector. More...

Static Public Member Functions
static Vector3d	Sub (Vector3d a, Vector3d b)
	Subtract one Vector from another More...

static void	Sub (ref Vector3d a, ref Vector3d b, out Vector3d result)
	Subtract one Vector from another More...

static Vector3d	Mult (Vector3d a, double f)
	Multiply a vector and a scalar More...

static void	Mult (ref Vector3d a, double f, out Vector3d result)
	Multiply a vector and a scalar More...

static Vector3d	Div (Vector3d a, double f)
	Divide a vector by a scalar More...

static void	Div (ref Vector3d a, double f, out Vector3d result)
	Divide a vector by a scalar More...

static Vector3d	Add (Vector3d a, Vector3d b)
	Adds two vectors. More...

static void	Add (ref Vector3d a, ref Vector3d b, out Vector3d result)
	Adds two vectors. More...

static Vector3d	Subtract (Vector3d a, Vector3d b)
	Subtract one Vector from another More...

static void	Subtract (ref Vector3d a, ref Vector3d b, out Vector3d result)
	Subtract one Vector from another More...

static Vector3d	Multiply (Vector3d vector, double scale)
	Multiplies a vector by a scalar. More...

static void	Multiply (ref Vector3d vector, double scale, out Vector3d result)
	Multiplies a vector by a scalar. More...

static Vector3d	Multiply (Vector3d vector, Vector3d scale)
	Multiplies a vector by the components a vector (scale). More...

static void	Multiply (ref Vector3d vector, ref Vector3d scale, out Vector3d result)
	Multiplies a vector by the components of a vector (scale). More...

static Vector3d	Divide (Vector3d vector, double scale)
	Divides a vector by a scalar. More...

static void	Divide (ref Vector3d vector, double scale, out Vector3d result)
	Divides a vector by a scalar. More...

static Vector3d	Divide (Vector3d vector, Vector3d scale)
	Divides a vector by the components of a vector (scale). More...

static void	Divide (ref Vector3d vector, ref Vector3d scale, out Vector3d result)
	Divide a vector by the components of a vector (scale). More...

static Vector3d	ComponentMin (Vector3d a, Vector3d b)
	Calculate the component-wise minimum of two vectors More...

static void	ComponentMin (ref Vector3d a, ref Vector3d b, out Vector3d result)
	Calculate the component-wise minimum of two vectors More...

static Vector3d	ComponentMax (Vector3d a, Vector3d b)
	Calculate the component-wise maximum of two vectors More...

static void	ComponentMax (ref Vector3d a, ref Vector3d b, out Vector3d result)
	Calculate the component-wise maximum of two vectors More...

static Vector3d	Min (Vector3d left, Vector3d right)
	Returns the Vector3d with the minimum magnitude More...

static Vector3d	Max (Vector3d left, Vector3d right)
	Returns the Vector3d with the minimum magnitude More...

static Vector3d	Clamp (Vector3d vec, Vector3d min, Vector3d max)
	Clamp a vector to the given minimum and maximum vectors More...

static void	Clamp (ref Vector3d vec, ref Vector3d min, ref Vector3d max, out Vector3d result)
	Clamp a vector to the given minimum and maximum vectors More...

static Vector3d	Normalize (Vector3d vec)
	Scale a vector to unit length More...

static void	Normalize (ref Vector3d vec, out Vector3d result)
	Scale a vector to unit length More...

static Vector3d	NormalizeFast (Vector3d vec)
	Scale a vector to approximately unit length More...

static void	NormalizeFast (ref Vector3d vec, out Vector3d result)
	Scale a vector to approximately unit length More...

static double	Dot (Vector3d left, Vector3d right)
	Calculate the dot (scalar) product of two vectors More...

static void	Dot (ref Vector3d left, ref Vector3d right, out double result)
	Calculate the dot (scalar) product of two vectors More...

static Vector3d	Cross (Vector3d left, Vector3d right)
	Caclulate the cross (vector) product of two vectors More...

static void	Cross (ref Vector3d left, ref Vector3d right, out Vector3d result)
	Caclulate the cross (vector) product of two vectors More...

static Vector3d	Lerp (Vector3d a, Vector3d b, double blend)
	Returns a new Vector that is the linear blend of the 2 given Vectors More...

static void	Lerp (ref Vector3d a, ref Vector3d b, double blend, out Vector3d result)
	Returns a new Vector that is the linear blend of the 2 given Vectors More...

static Vector3d	BaryCentric (Vector3d a, Vector3d b, Vector3d c, double u, double v)
	Interpolate 3 Vectors using Barycentric coordinates More...

static void	BaryCentric (ref Vector3d a, ref Vector3d b, ref Vector3d c, double u, double v, out Vector3d result)
	Interpolate 3 Vectors using Barycentric coordinates More...

static Vector3d	TransformVector (Vector3d vec, Matrix4d mat)
	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. More...

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

static Vector3d	TransformNormal (Vector3d norm, Matrix4d mat)
	Transform a Normal by the given Matrix More...

static void	TransformNormal (ref Vector3d norm, ref Matrix4d mat, out Vector3d result)
	Transform a Normal by the given Matrix More...

static Vector3d	TransformNormalInverse (Vector3d norm, Matrix4d invMat)
	Transform a Normal by the (transpose of the) given Matrix More...

static void	TransformNormalInverse (ref Vector3d norm, ref Matrix4d invMat, out Vector3d result)
	Transform a Normal by the (transpose of the) given Matrix More...

static Vector3d	TransformPosition (Vector3d pos, Matrix4d mat)
	Transform a Position by the given Matrix More...

static void	TransformPosition (ref Vector3d pos, ref Matrix4d mat, out Vector3d result)
	Transform a Position by the given Matrix More...

static Vector3d	Transform (Vector3d vec, Matrix4d mat)
	Transform a Vector by the given Matrix More...

static void	Transform (ref Vector3d vec, ref Matrix4d mat, out Vector3d result)
	Transform a Vector by the given Matrix More...

static Vector3d	Transform (Vector3d vec, Quaterniond quat)
	Transforms a vector by a quaternion rotation. More...

static void	Transform (ref Vector3d vec, ref Quaterniond quat, out Vector3d result)
	Transforms a vector by a quaternion rotation. More...

static Vector3d	TransformPerspective (Vector3d vec, Matrix4d mat)
	Transform a Vector3d by the given Matrix, and project the resulting Vector4 back to a Vector3 More...

static void	TransformPerspective (ref Vector3d vec, ref Matrix4d mat, out Vector3d result)
	Transform a Vector3d by the given Matrix, and project the resulting Vector4d back to a Vector3d More...

static double	CalculateAngle (Vector3d first, Vector3d second)
	Calculates the angle (in radians) between two vectors. More...

static void	CalculateAngle (ref Vector3d first, ref Vector3d second, out double result)
	Calculates the angle (in radians) between two vectors. More...

static Vector3d	operator+ (Vector3d left, Vector3d right)
	Adds two instances. More...

static Vector3d	operator- (Vector3d left, Vector3d right)
	Subtracts two instances. More...

static Vector3d	operator- (Vector3d vec)
	Negates an instance. More...

static Vector3d	operator* (Vector3d vec, double scale)
	Multiplies an instance by a scalar. More...

static Vector3d	operator* (double scale, Vector3d vec)
	Multiplies an instance by a scalar. More...

static Vector3d	operator/ (Vector3d vec, double scale)
	Divides an instance by a scalar. More...

static bool	operator== (Vector3d left, Vector3d right)
	Compares two instances for equality. More...

static bool	operator!= (Vector3d left, Vector3d right)
	Compares two instances for inequality. More...

static	operator Vector3d (Vector3f v3)
	Converts makVrl.Vector3 to makVrl.Vector3d. More...

static	operator Vector3f (Vector3d v3d)
	Converts makVrl.Vector3d to makVrl.Vector3. More...

Public Attributes
double	X
	The X component of the Vector3. More...

double	Y
	The Y component of the Vector3. More...

double	Z
	The Z component of the Vector3. More...

Static Public Attributes
static readonly Vector3d	UnitX = new Vector3d(1, 0, 0)
	Defines a unit-length Vector3d that points towards the X-axis. More...

static readonly Vector3d	UnitY = new Vector3d(0, 1, 0)
	Defines a unit-length Vector3d that points towards the Y-axis. More...

static readonly Vector3d	UnitZ = new Vector3d(0, 0, 1)
	/// Defines a unit-length Vector3d that points towards the Z-axis. More...

static readonly Vector3d	Zero = new Vector3d(0, 0, 0)
	Defines a zero-length Vector3. More...

static readonly Vector3d	One = new Vector3d(1, 1, 1)
	Defines an instance with all components set to 1. More...

static readonly int	SizeInBytes = Marshal.SizeOf(new Vector3d())
	Defines the size of the Vector3d struct in bytes. More...

Properties
double	this[int index] `[get, set]`
	Gets or sets the value at the index of the Vector. More...

double	Length `[get]`
	Gets the length (magnitude) of the vector. More...

double	LengthFast `[get]`
	Gets an approximation of the vector length (magnitude). More...

double	LengthSquared `[get]`
	Gets the square of the vector length (magnitude). More...

Vector2d	Xy `[get, set]`
	Gets or sets an makVrl.Vector2d with the X and Y components of this instance. More...

Vector2d	Xz `[get, set]`
	Gets or sets an makVrl.Vector2d with the X and Z components of this instance. More...

Vector2d	Yx `[get, set]`
	Gets or sets an makVrl.Vector2d with the Y and X components of this instance. More...

Vector2d	Yz `[get, set]`
	Gets or sets an makVrl.Vector2d with the Y and Z components of this instance. More...

Vector2d	Zx `[get, set]`
	Gets or sets an makVrl.Vector2d with the Z and X components of this instance. More...

Vector2d	Zy `[get, set]`
	Gets or sets an makVrl.Vector2d with the Z and Y components of this instance. More...

Vector3d	Xzy `[get, set]`
	Gets or sets an makVrl.Vector3d with the X, Z, and Y components of this instance. More...

Vector3d	Yxz `[get, set]`
	Gets or sets an makVrl.Vector3d with the Y, X, and Z components of this instance. More...

Vector3d	Yzx `[get, set]`
	Gets or sets an makVrl.Vector3d with the Y, Z, and X components of this instance. More...

Vector3d	Zxy `[get, set]`
	Gets or sets an makVrl.Vector3d with the Z, X, and Y components of this instance. More...

Vector3d	Zyx `[get, set]`
	Gets or sets an makVrl.Vector3d with the Z, Y, and X components of this instance. More...

Static Private Attributes
static string	listSeparator = System.Globalization.CultureInfo.CurrentCulture.TextInfo.ListSeparator

Detailed Description

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

Constructor & Destructor Documentation

makVrl.Vector3d.Vector3d ( double value )

inline

Constructs a new instance.

Parameters

value The value that will initialize this instance.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

Referenced by makVrl.Vector3d.Add(), makVrl.Vector3d.Cross(), makVrl.Vector3d.Divide(), makVrl.Vector3d.Equals(), makVrl.Vector3d.Multiply(), makVrl.Vector3d.operator Vector3d(), makVrl.Vector3d.Subtract(), makVrl.Vector3d.TransformNormalInverse(), makVrl.Vector3d.TransformPosition(), and makVrl.Vector3d.TransformVector().

makVrl.Vector3d.Vector3d	(	double	x,
		double	y,
		double	z
	)

inline

Constructs a new Vector3.

Parameters

x	The x component of the Vector3.
y	The y component of the Vector3.
z	The z component of the Vector3.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

makVrl.Vector3d.Vector3d ( Vector2d v )

inline

Constructs a new instance from the given Vector2d.

Parameters

v	The Vector2d to copy components from.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

makVrl.Vector3d.Vector3d ( Vector3d v )

inline

Constructs a new instance from the given Vector3d.

Parameters

v	The Vector3d to copy components from.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

makVrl.Vector3d.Vector3d ( Vector4d v )

inline

Constructs a new instance from the given Vector4d.

Parameters

v	The Vector4d to copy components from.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

Member Function Documentation

void makVrl.Vector3d.Add ( Vector3d right )

inline

Add the Vector passed as parameter to this instance.

Parameters

right Right operand. This parameter is only read from.

Referenced by makVrl.Vector3d.Add(), and makVrl.Vector3d.BaryCentric().

void makVrl.Vector3d.Add ( ref Vector3d right )

inline

Add the Vector passed as parameter to this instance.

Parameters

right Right operand. This parameter is only read from.

static Vector3d makVrl.Vector3d.Add	(	Vector3d	a,
		Vector3d	b
	)

inlinestatic

Adds two vectors.

Parameters

a	Left operand.
b	Right operand.

Returns: Result of operation.

References makVrl.Vector3d.Add().

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

inlinestatic

Adds two vectors.

Parameters

a	Left operand.
b	Right operand.
result	Result of operation.

References makVrl.Vector3d.Vector3d().

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

inlinestatic

Interpolate 3 Vectors using Barycentric coordinates

Parameters

a	First input Vector
b	Second input Vector
c	Third input Vector
u	First Barycentric Coordinate
v	Second Barycentric Coordinate

Returns: 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

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

inlinestatic

Interpolate 3 Vectors using Barycentric coordinates

Parameters

a	First input Vector.
b	Second input Vector.
c	Third input Vector.
u	First Barycentric Coordinate.
v	Second Barycentric Coordinate.
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

References makVrl.Vector3d.Add(), makVrl.Vector3d.Multiply(), and makVrl.Vector3d.Subtract().

static double makVrl.Vector3d.CalculateAngle	(	Vector3d	first,
		Vector3d	second
	)

inlinestatic

Calculates the angle (in radians) between two vectors.

Parameters

first	The first vector.
second	The second vector.

Returns: Angle (in radians) between the vectors.

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

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

inlinestatic

Calculates the angle (in radians) between two vectors.

Parameters

first	The first vector.
second	The second vector.
result	Angle (in radians) between the vectors.

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

static Vector3d makVrl.Vector3d.Clamp	(	Vector3d	vec,
		Vector3d	min,
		Vector3d	max
	)

inlinestatic

Clamp a vector to the given minimum and maximum vectors

Parameters

vec	Input vector
min	Minimum vector
max	Maximum vector

Returns: The clamped vector

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

inlinestatic

Clamp a vector to the given minimum and maximum vectors

Parameters

vec	Input vector
min	Minimum vector
max	Maximum vector
result	The clamped vector

static Vector3d makVrl.Vector3d.ComponentMax	(	Vector3d	a,
		Vector3d	b
	)

inlinestatic

Calculate the component-wise maximum of two vectors

Parameters

a	First operand
b	Second operand

Returns: The component-wise maximum

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

inlinestatic

Calculate the component-wise maximum of two vectors

Parameters

a	First operand
b	Second operand
result	The component-wise maximum

static Vector3d makVrl.Vector3d.ComponentMin	(	Vector3d	a,
		Vector3d	b
	)

inlinestatic

Calculate the component-wise minimum of two vectors

Parameters

a	First operand
b	Second operand

Returns: The component-wise minimum

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

inlinestatic

Calculate the component-wise minimum of two vectors

Parameters

a	First operand
b	Second operand
result	The component-wise minimum

static Vector3d makVrl.Vector3d.Cross	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Caclulate the cross (vector) product of two vectors

Parameters

left	First operand
right	Second operand

Returns: The cross product of the two inputs

Referenced by makVrl.Quaterniond.Mult(), and makVrl.Quaterniond.Multiply().

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

inlinestatic

Caclulate the cross (vector) product of two vectors

Parameters

left	First operand
right	Second operand

Returns: The cross product of the two inputs

Parameters

result The cross product of the two inputs

References makVrl.Vector3d.Vector3d().

void makVrl.Vector3d.Div ( double f )

inline

Divide this instance by a scalar.

Parameters

f	Scalar operand.

static Vector3d makVrl.Vector3d.Div	(	Vector3d	a,
		double	f
	)

inlinestatic

Divide a vector by a scalar

Parameters

a	Vector operand
f	Scalar operand

Returns: Result of the division

static void makVrl.Vector3d.Div	(	ref Vector3d	a,
		double	f,
		out Vector3d	result
	)

inlinestatic

Divide a vector by a scalar

Parameters

a	Vector operand
f	Scalar operand
result	Result of the division

static Vector3d makVrl.Vector3d.Divide	(	Vector3d	vector,
		double	scale
	)

inlinestatic

Divides a vector by a scalar.

Parameters

vector	Left operand.
scale	Right operand.

Returns: Result of the operation.

Referenced by makVrl.Vector3d.Divide().

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

inlinestatic

Divides a vector by a scalar.

Parameters

vector	Left operand.
scale	Right operand.
result	Result of the operation.

References makVrl.Vector3d.Multiply().

static Vector3d makVrl.Vector3d.Divide	(	Vector3d	vector,
		Vector3d	scale
	)

inlinestatic

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

Parameters

vector	Left operand.
scale	Right operand.

Returns: Result of the operation.

References makVrl.Vector3d.Divide().

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

inlinestatic

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

Parameters

vector	Left operand.
scale	Right operand.
result	Result of the operation.

References makVrl.Vector3d.Vector3d().

static double makVrl.Vector3d.Dot	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Calculate the dot (scalar) product of two vectors

Parameters

left	First operand
right	Second operand

Returns: The dot product of the two inputs

Referenced by makVrl.Vector3d.TransformNormalInverse(), makVrl.Vector3d.TransformPosition(), and makVrl.Vector3d.TransformVector().

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

inlinestatic

Calculate the dot (scalar) product of two vectors

Parameters

left	First operand
right	Second operand
result	The dot product of the two inputs

override bool makVrl.Vector3d.Equals ( object obj )

inline

Indicates whether this instance and a specified object are equal.

Parameters

obj	The object to compare to.

Returns: True if the instances are equal; false otherwise.

References makVrl.Vector3d.Vector3d().

bool makVrl.Vector3d.Equals ( Vector3d other )

inline

Indicates whether the current vector is equal to another vector.

Parameters

other A vector to compare with this vector.

Returns: true if the current vector is equal to the vector parameter; otherwise, false.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

override int makVrl.Vector3d.GetHashCode ( )

inline

Returns the hashcode for this instance.

Returns: A System.Int32 containing the unique hashcode for this instance.

References makVrl.Vector3d.Y.

Referenced by makVrl.Matrix3d.GetHashCode().

static Vector3d makVrl.Vector3d.Lerp	(	Vector3d	a,
		Vector3d	b,
		double	blend
	)

inlinestatic

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

Parameters

a	First input vector
b	Second input vector
blend	The blend factor. a when blend=0, b when blend=1.

Returns: a when blend=0, b when blend=1, and a linear combination otherwise

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

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

inlinestatic

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

Parameters

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

static Vector3d makVrl.Vector3d.Max	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Returns the Vector3d with the minimum magnitude

Parameters

left	Left operand
right	Right operand

Returns: The minimum Vector3

static Vector3d makVrl.Vector3d.Min	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Returns the Vector3d with the minimum magnitude

Parameters

left	Left operand
right	Right operand

Returns: The minimum Vector3

void makVrl.Vector3d.Mult ( double f )

inline

Multiply this instance by a scalar.

Parameters

f	Scalar operand.

static Vector3d makVrl.Vector3d.Mult	(	Vector3d	a,
		double	f
	)

inlinestatic

Multiply a vector and a scalar

Parameters

a	Vector operand
f	Scalar operand

Returns: Result of the multiplication

static void makVrl.Vector3d.Mult	(	ref Vector3d	a,
		double	f,
		out Vector3d	result
	)

inlinestatic

Multiply a vector and a scalar

Parameters

a	Vector operand
f	Scalar operand
result	Result of the multiplication

static Vector3d makVrl.Vector3d.Multiply	(	Vector3d	vector,
		double	scale
	)

inlinestatic

Multiplies a vector by a scalar.

Parameters

vector	Left operand.
scale	Right operand.

Returns: Result of the operation.

Referenced by makVrl.Vector3d.BaryCentric(), makVrl.Vector3d.Divide(), and makVrl.Vector3d.Multiply().

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

inlinestatic

Multiplies a vector by a scalar.

Parameters

vector	Left operand.
scale	Right operand.
result	Result of the operation.

References makVrl.Vector3d.Vector3d().

static Vector3d makVrl.Vector3d.Multiply	(	Vector3d	vector,
		Vector3d	scale
	)

inlinestatic

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

Parameters

vector	Left operand.
scale	Right operand.

Returns: Result of the operation.

References makVrl.Vector3d.Multiply().

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

inlinestatic

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

Parameters

vector	Left operand.
scale	Right operand.
result	Result of the operation.

References makVrl.Vector3d.Vector3d().

void makVrl.Vector3d.Normalize ( )

inline

Scales the Vector3d to unit length.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

static Vector3d makVrl.Vector3d.Normalize ( Vector3d vec )

inlinestatic

Scale a vector to unit length

Parameters

vec	The input vector

Returns: The normalized vector

static void makVrl.Vector3d.Normalize	(	ref Vector3d	vec,
		out Vector3d	result
	)

inlinestatic

Scale a vector to unit length

Parameters

vec	The input vector
result	The normalized vector

Vector3d makVrl.Vector3d.Normalized ( )

inline

Returns a copy of the Vector3d scaled to unit length.

Returns

void makVrl.Vector3d.NormalizeFast ( )

inline

Scales the Vector3d to approximately unit length.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

static Vector3d makVrl.Vector3d.NormalizeFast ( Vector3d vec )

inlinestatic

Scale a vector to approximately unit length

Parameters

vec	The input vector

Returns: The normalized vector

static void makVrl.Vector3d.NormalizeFast	(	ref Vector3d	vec,
		out Vector3d	result
	)

inlinestatic

Scale a vector to approximately unit length

Parameters

vec	The input vector
result	The normalized vector

static makVrl.Vector3d.operator Vector3d ( Vector3f v3 )

inlineexplicitstatic

Converts makVrl.Vector3 to makVrl.Vector3d.

Parameters

v3	The Vector3 to convert.

Returns: The resulting Vector3d.

References makVrl.Vector3d.Vector3d(), makVrl.Vector3f.X, makVrl.Vector3f.Y, and makVrl.Vector3f.Z.

static makVrl.Vector3d.operator Vector3f ( Vector3d v3d )

inlineexplicitstatic

Converts makVrl.Vector3d to makVrl.Vector3.

Parameters

v3d	The Vector3d to convert.

Returns: The resulting Vector3.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

static bool makVrl.Vector3d.operator!=	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Compares two instances for inequality.

Parameters

left	The first instance.
right	The second instance.

Returns: True, if left does not equa lright; false otherwise.

static Vector3d makVrl.Vector3d.operator*	(	Vector3d	vec,
		double	scale
	)

inlinestatic

Multiplies an instance by a scalar.

Parameters

vec	The instance.
scale	The scalar.

Returns: The result of the calculation.

static Vector3d makVrl.Vector3d.operator*	(	double	scale,
		Vector3d	vec
	)

inlinestatic

Multiplies an instance by a scalar.

Parameters

scale	The scalar.
vec	The instance.

Returns: The result of the calculation.

static Vector3d makVrl.Vector3d.operator+	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Adds two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: The result of the calculation.

static Vector3d makVrl.Vector3d.operator-	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Subtracts two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: The result of the calculation.

static Vector3d makVrl.Vector3d.operator- ( Vector3d vec )

inlinestatic

Negates an instance.

Parameters

vec	The instance.

Returns: The result of the calculation.

static Vector3d makVrl.Vector3d.operator/	(	Vector3d	vec,
		double	scale
	)

inlinestatic

Divides an instance by a scalar.

Parameters

vec	The instance.
scale	The scalar.

Returns: The result of the calculation.

static bool makVrl.Vector3d.operator==	(	Vector3d	left,
		Vector3d	right
	)

inlinestatic

Compares two instances for equality.

Parameters

left	The first instance.
right	The second instance.

Returns: True, if left equals right; false otherwise.

void makVrl.Vector3d.Scale	(	double	sx,
		double	sy,
		double	sz
	)

inline

Scales the current Vector3d by the given amounts.

Parameters

sx	The scale of the X component.
sy	The scale of the Y component.
sz	The scale of the Z component.

References makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

void makVrl.Vector3d.Scale ( Vector3d scale )

inline

Scales this instance by the given parameter.

Parameters

scale The scaling of the individual components.

void makVrl.Vector3d.Scale ( ref Vector3d scale )

inline

Scales this instance by the given parameter.

Parameters

scale The scaling of the individual components.

void makVrl.Vector3d.Sub ( Vector3d right )

inline

Subtract the Vector passed as parameter from this instance.

Parameters

right Right operand. This parameter is only read from.

void makVrl.Vector3d.Sub ( ref Vector3d right )

inline

Subtract the Vector passed as parameter from this instance.

Parameters

right Right operand. This parameter is only read from.

static Vector3d makVrl.Vector3d.Sub	(	Vector3d	a,
		Vector3d	b
	)

inlinestatic

Subtract one Vector from another

Parameters

a	First operand
b	Second operand

Returns: Result of subtraction

static void makVrl.Vector3d.Sub	(	ref Vector3d	a,
		ref Vector3d	b,
		out Vector3d	result
	)

inlinestatic

Subtract one Vector from another

Parameters

a	First operand
b	Second operand
result	Result of subtraction

static Vector3d makVrl.Vector3d.Subtract	(	Vector3d	a,
		Vector3d	b
	)

inlinestatic

Subtract one Vector from another

Parameters

a	First operand
b	Second operand

Returns: Result of subtraction

Referenced by makVrl.Vector3d.BaryCentric().

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

inlinestatic

Subtract one Vector from another

Parameters

a	First operand
b	Second operand
result	Result of subtraction

References makVrl.Vector3d.Vector3d().

override string makVrl.Vector3d.ToString ( )

inline

Returns a System.String that represents the current Vector3.

Returns

References makVrl.Vector3d.listSeparator, makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

static Vector3d makVrl.Vector3d.Transform	(	Vector3d	vec,
		Matrix4d	mat
	)

inlinestatic

Transform a Vector by the given Matrix

Parameters

vec	The vector to transform
mat	The desired transformation

Returns: The transformed vector

Referenced by makVrl.Vector3d.Transform().

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

inlinestatic

Transform a Vector by the given Matrix

Parameters

vec	The vector to transform
mat	The desired transformation
result	The transformed vector

static Vector3d makVrl.Vector3d.Transform	(	Vector3d	vec,
		Quaterniond	quat
	)

inlinestatic

Transforms a vector by a quaternion rotation.

Parameters

vec	The vector to transform.
quat	The quaternion to rotate the vector by.

Returns: The result of the operation.

References makVrl.Vector3d.Transform().

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

inlinestatic

Transforms a vector by a quaternion rotation.

Parameters

vec	The vector to transform.
quat	The quaternion to rotate the vector by.
result	The result of the operation.

static Vector3d makVrl.Vector3d.TransformNormal	(	Vector3d	norm,
		Matrix4d	mat
	)

inlinestatic

Transform a Normal by the given Matrix

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

Parameters

norm	The normal to transform
mat	The desired transformation

Returns: The transformed normal

References makVrl.Vector3d.TransformNormalInverse().

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

inlinestatic

Transform a Normal by the given Matrix

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

Parameters

norm	The normal to transform
mat	The desired transformation
result	The transformed normal

static Vector3d makVrl.Vector3d.TransformNormalInverse	(	Vector3d	norm,
		Matrix4d	invMat
	)

inlinestatic

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

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

Parameters

norm	The normal to transform
invMat	The inverse of the desired transformation

Returns: The transformed normal

References makVrl.Vector3d.Dot(), makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Vector3d.Vector3d().

Referenced by makVrl.Vector3d.TransformNormal().

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

inlinestatic

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

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

Parameters

norm	The normal to transform
invMat	The inverse of the desired transformation
result	The transformed normal

static Vector3d makVrl.Vector3d.TransformPerspective	(	Vector3d	vec,
		Matrix4d	mat
	)

inlinestatic

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

Parameters

vec	The vector to transform
mat	The desired transformation

Returns: The transformed vector

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

inlinestatic

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

Parameters

vec	The vector to transform
mat	The desired transformation
result	The transformed vector

static Vector3d makVrl.Vector3d.TransformPosition	(	Vector3d	pos,
		Matrix4d	mat
	)

inlinestatic

Transform a Position by the given Matrix

Parameters

pos	The position to transform
mat	The desired transformation

Returns: The transformed position

References makVrl.Matrix4d.Column0, makVrl.Matrix4d.Column1, makVrl.Matrix4d.Column2, makVrl.Vector3d.Dot(), makVrl.Matrix4d.Row3, makVrl.Vector3d.Vector3d(), and makVrl.Vector4d.Y.

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

inlinestatic

Transform a Position by the given Matrix

Parameters

pos	The position to transform
mat	The desired transformation
result	The transformed position

static Vector3d makVrl.Vector3d.TransformVector	(	Vector3d	vec,
		Matrix4d	mat
	)

inlinestatic

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.

Parameters

vec	The vector to transform
mat	The desired transformation

Returns: The transformed vector

References makVrl.Matrix4d.Column0, makVrl.Matrix4d.Column1, makVrl.Matrix4d.Column2, makVrl.Vector3d.Dot(), and makVrl.Vector3d.Vector3d().

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

inlinestatic

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.

Parameters

vec	The vector to transform
mat	The desired transformation
result	The transformed vector

Member Data Documentation

string makVrl.Vector3d.listSeparator = System.Globalization.CultureInfo.CurrentCulture.TextInfo.ListSeparator

staticprivate

Referenced by makVrl.Vector3d.ToString().

readonly Vector3d makVrl.Vector3d.One = new Vector3d(1, 1, 1)

static

Defines an instance with all components set to 1.

readonly int makVrl.Vector3d.SizeInBytes = Marshal.SizeOf(new Vector3d())

static

Defines the size of the Vector3d struct in bytes.

readonly Vector3d makVrl.Vector3d.UnitX = new Vector3d(1, 0, 0)

static

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

Referenced by makVrl.Quaterniond.ToAxisAngle().

readonly Vector3d makVrl.Vector3d.UnitY = new Vector3d(0, 1, 0)

static

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

readonly Vector3d makVrl.Vector3d.UnitZ = new Vector3d(0, 0, 1)

static

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

double makVrl.Vector3d.X

The X component of the Vector3.

Referenced by makVrl.Matrix4d.CreateFromAxisAngle(), makVrl.Matrix4d.CreateTranslation(), f18.VehicleSim.detonateMunition(), makVrl.Vector3d.Equals(), makVrl.ReferenceEllipsoid.geodeticToGeocentric(), makVrl.Vector3d.Lerp(), makVrl.Matrix4d.LookAt(), makVrl.Vector3d.Normalize(), makVrl.Vector3d.NormalizeFast(), makVrl.TaitBryan.operator TaitBryan(), makVrl.Vector3d.operator Vector3f(), makVrl.Matrix4d.Rotate(), makVrl.Vector3d.Scale(), makVrl.Matrix4d.Scale(), f18.VehicleSim.simTick(), makVrl.Quaterniond.ToAxisAngle(), makVrl.Vector3d.ToString(), makVrl.Matrix4d.Translation(), and makVrl.Vector3d.Vector3d().

double makVrl.Vector3d.Y

The Y component of the Vector3.

Referenced by makVrl.Matrix4d.CreateFromAxisAngle(), makVrl.Matrix4d.CreateTranslation(), f18.VehicleSim.detonateMunition(), makVrl.Vector3d.Equals(), makVrl.ReferenceEllipsoid.geodeticToGeocentric(), makVrl.Vector3d.GetHashCode(), makVrl.Vector3d.Lerp(), makVrl.Matrix4d.LookAt(), makVrl.Vector3d.Normalize(), makVrl.Vector3d.NormalizeFast(), makVrl.TaitBryan.operator TaitBryan(), makVrl.Vector3d.operator Vector3f(), makVrl.Matrix4d.Rotate(), makVrl.Vector3d.Scale(), makVrl.Matrix4d.Scale(), f18.VehicleSim.simTick(), makVrl.Vector3d.ToString(), makVrl.Matrix4d.Translation(), and makVrl.Vector3d.Vector3d().

double makVrl.Vector3d.Z

The Z component of the Vector3.

Referenced by makVrl.Matrix4d.CreateFromAxisAngle(), makVrl.Matrix4d.CreateTranslation(), f18.VehicleSim.detonateMunition(), makVrl.Vector3d.Equals(), makVrl.ReferenceEllipsoid.geodeticToGeocentric(), makVrl.Vector3d.Lerp(), makVrl.Matrix4d.LookAt(), makVrl.Vector3d.Normalize(), makVrl.Vector3d.NormalizeFast(), makVrl.TaitBryan.operator TaitBryan(), makVrl.Vector3d.operator Vector3f(), makVrl.Matrix4d.Rotate(), makVrl.Vector3d.Scale(), makVrl.Matrix4d.Scale(), f18.VehicleSim.simTick(), makVrl.Quaterniond.ToAxisAngle(), makVrl.Vector3d.ToString(), makVrl.Matrix4d.Translation(), and makVrl.Vector3d.Vector3d().

readonly Vector3d makVrl.Vector3d.Zero = new Vector3d(0, 0, 0)

static

Defines a zero-length Vector3.

Referenced by makVrl.Matrix4d.ClearTranslation(), makVrl.EntityStateRepository.EntityStateRepository(), makVrl.GeodeticCoord.GeodeticCoord(), makVrl.CoordinateTransform.inverse(), makVrl.laserDesignatorStateRepository.laserDesignatorStateRepository(), makVrl.Smoother.resetPosSmoother(), makVrl.TransmitterStateRepository.TransmitterStateRepository(), and makVrl.UtmCoordinate.UtmCoordinate().

Property Documentation

double makVrl.Vector3d.Length

get

Gets the length (magnitude) of the vector.

LengthFast

See Also: LengthSquared

Referenced by makVrl.Matrix3d.ClearRotation(), makVrl.Matrix4d.ClearRotation(), makVrl.Matrix3d.ExtractScale(), and makVrl.Matrix4d.ExtractScale().

double makVrl.Vector3d.LengthFast

get

Gets an approximation of the vector length (magnitude).

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

Length

See Also: LengthSquared

double makVrl.Vector3d.LengthSquared

get

Gets the square of the vector length (magnitude).

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

Length

See Also: LengthFast

Referenced by makVrl.Quaterniond.FromAxisAngle().

double makVrl.Vector3d.this[int index]

getset

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

Vector2d makVrl.Vector3d.Xy

getset

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

Vector2d makVrl.Vector3d.Xz

getset

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

Vector3d makVrl.Vector3d.Xzy

getset

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

Vector2d makVrl.Vector3d.Yx

getset

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

Vector3d makVrl.Vector3d.Yxz

getset

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

Vector2d makVrl.Vector3d.Yz

getset

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

Vector3d makVrl.Vector3d.Yzx

getset

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

Vector2d makVrl.Vector3d.Zx

getset

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

Vector3d makVrl.Vector3d.Zxy

getset

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

Vector2d makVrl.Vector3d.Zy

getset

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

Vector3d makVrl.Vector3d.Zyx

getset

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

The documentation for this struct was generated from the following file:

Vector3d.cs

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Properties

Static Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

Property Documentation