Defines a vector with three components. More...

Inheritance diagram for VRageMath.Vector3D:

Public Member Functions
	Vector3D (double x, double y, double z)
	Initializes a new instance of Vector3. More...

	Vector3D (double value)
	Creates a new instance of Vector3. More...

	Vector3D (Vector2 value, double z)
	Initializes a new instance of Vector3. More...

	Vector3D (Vector2D value, double z)

	Vector3D (Vector4 xyz)

	Vector3D (Vector4D xyz)

	Vector3D (Vector3 value)

	Vector3D (ref Vector3I value)

	Vector3D (Vector3I value)

void	Interpolate3 (Vector3D v0, Vector3D v1, double rt)

bool	IsValid ()

void	AssertIsValid ()

override string	ToString ()
	Retrieves a string representation of the current object. More...

string	ToString (string format)

bool	Equals (Vector3D other)
	Determines whether the specified Object is equal to the Vector3. More...

bool	Equals (Vector3D other, double epsilon)

override bool	Equals (object obj)
	Returns a value that indicates whether the current instance is equal to a specified object. More...

override int	GetHashCode ()

long	GetHash ()
	Gets the hash code of the vector object. More...

double	Length ()
	Calculates the length of the vector. More...

double	LengthSquared ()
	Calculates the length of the vector squared. More...

double	Dot (Vector3D v)

double	Dot (Vector3 v)

double	Dot (ref Vector3D v)

Vector3D	Cross (Vector3D v)

double	Normalize ()
	Turns the current vector into a unit vector. The result is a vector one unit in length pointing in the same direction as the original vector. More...

double	Min ()
	Returns the component of the vector that is smallest of all the three components. More...

double	AbsMin ()
	Returns the component of the vector, whose absolute value is smallest of all the three components. More...

double	Max ()
	Returns the component of the vector that is largest of all the three components. More...

double	AbsMax ()
	Returns the component of the vector, whose absolute value is largest of all the three components. More...

int	AbsMaxComponent ()

void	CalculatePerpendicularVector (out Vector3D result)

long	VolumeInt (double multiplier)

bool	IsInsideInclusive (ref Vector3D min, ref Vector3D max)

double	GetDim (int i)

void	SetDim (int i, double value)

Static Public Member Functions
static	Vector3D ()

static Vector3D	operator- (Vector3D value)
	Returns a vector pointing in the opposite direction. More...

static bool	operator== (Vector3D value1, Vector3D value2)
	Tests vectors for equality. More...

static bool	operator== (Vector3 value1, Vector3D value2)

static bool	operator== (Vector3D value1, Vector3 value2)

static bool	operator!= (Vector3D value1, Vector3D value2)
	Tests vectors for inequality. More...

static bool	operator!= (Vector3 value1, Vector3D value2)

static bool	operator!= (Vector3D value1, Vector3 value2)

static Vector3D	operator% (Vector3D value1, double value2)

static Vector3D	operator% (Vector3D value1, Vector3D value2)
	Modulo division of two vectors. More...

static Vector3D	operator+ (Vector3D value1, Vector3D value2)
	Adds two vectors. More...

static Vector3D	operator+ (Vector3D value1, Vector3 value2)

static Vector3D	operator+ (Vector3 value1, Vector3D value2)

static Vector3D	operator+ (Vector3D value1, Vector3I value2)

static Vector3D	operator+ (Vector3D value1, double value2)

static Vector3D	operator+ (Vector3D value1, float value2)

static Vector3D	operator- (Vector3D value1, Vector3D value2)
	Subtracts a vector from a vector. More...

static Vector3D	operator- (Vector3D value1, Vector3 value2)

static Vector3D	operator- (Vector3 value1, Vector3D value2)

static Vector3D	operator- (Vector3D value1, double value2)

static Vector3D	operator* (Vector3D value1, Vector3 value2)
	Multiplies the components of two vectors by each other. More...

static Vector3D	operator* (Vector3D value, double scaleFactor)
	Multiplies a vector by a scalar value. More...

static Vector3D	operator* (double scaleFactor, Vector3D value)
	Multiplies a vector by a scalar value. More...

static Vector3D	operator/ (Vector3D value1, Vector3D value2)
	Divides the components of a vector by the components of another vector. More...

static Vector3D	operator/ (Vector3D value, double divider)
	Divides a vector by a scalar value. More...

static Vector3D	operator/ (double value, Vector3D divider)

static Vector3D	Abs (Vector3D value)

static Vector3D	Sign (Vector3D value)

static Vector3D	SignNonZero (Vector3D value)
	Returns per component sign, never returns zero. For zero component returns sign 1. Faster than Sign. More...

static bool	IsUnit (ref Vector3D value)

static bool	ArePerpendicular (ref Vector3D a, ref Vector3D b)

static bool	IsZero (Vector3D value)

static bool	IsZero (Vector3D value, double epsilon)

static Vector3D	IsZeroVector (Vector3D value)

static Vector3D	IsZeroVector (Vector3D value, double epsilon)

static Vector3D	Step (Vector3D value)

static bool	TryParse (string str, out Vector3D retval)

static double	Distance (Vector3D value1, Vector3D value2)
	Calculates the distance between two vectors. More...

static double	Distance (Vector3D value1, Vector3 value2)

static double	Distance (Vector3 value1, Vector3D value2)

static void	Distance (ref Vector3D value1, ref Vector3D value2, out double result)
	Calculates the distance between two vectors. More...

static double	DistanceSquared (Vector3D value1, Vector3D value2)
	Calculates the distance between two vectors squared. More...

static void	DistanceSquared (ref Vector3D value1, ref Vector3D value2, out double result)
	Calculates the distance between two vectors squared. More...

static double	RectangularDistance (Vector3D value1, Vector3D value2)
	Calculates rectangular distance (a.k.a. Manhattan distance or Chessboard distace) between two vectors. More...

static double	RectangularDistance (ref Vector3D value1, ref Vector3D value2)
	Calculates rectangular distance (a.k.a. Manhattan distance or Chessboard distace) between two vectors. More...

static double	Dot (Vector3D vector1, Vector3D vector2)
	Calculates the dot product of two vectors. If the two vectors are unit vectors, the dot product returns a doubleing point value between -1 and 1 that can be used to determine some properties of the angle between two vectors. For example, it can show whether the vectors are orthogonal, parallel, or have an acute or obtuse angle between them. More...

static double	Dot (Vector3D vector1, Vector3 vector2)

static void	Dot (ref Vector3D vector1, ref Vector3D vector2, out double result)
	Calculates the dot product of two vectors and writes the result to a user-specified variable. If the two vectors are unit vectors, the dot product returns a doubleing point value between -1 and 1 that can be used to determine some properties of the angle between two vectors. For example, it can show whether the vectors are orthogonal, parallel, or have an acute or obtuse angle between them. More...

static void	Dot (ref Vector3D vector1, ref Vector3 vector2, out double result)

static void	Dot (ref Vector3 vector1, ref Vector3D vector2, out double result)

static Vector3D	Normalize (Vector3D value)
	Creates a unit vector from the specified vector. The result is a vector one unit in length pointing in the same direction as the original vector. More...

static void	Normalize (ref Vector3D value, out Vector3D result)
	Creates a unit vector from the specified vector, writing the result to a user-specified variable. The result is a vector one unit in length pointing in the same direction as the original vector. More...

static Vector3D	Cross (Vector3D vector1, Vector3D vector2)
	Calculates the cross product of two vectors. More...

static void	Cross (ref Vector3D vector1, ref Vector3D vector2, out Vector3D result)
	Calculates the cross product of two vectors. More...

static Vector3D	Reflect (Vector3D vector, Vector3D normal)
	Returns the reflection of a vector off a surface that has the specified normal. Reference page contains code sample. More...

static void	Reflect (ref Vector3D vector, ref Vector3D normal, out Vector3D result)
	Returns the reflection of a vector off a surface that has the specified normal. Reference page contains code sample. More...

static Vector3D	Reject (Vector3D vector, Vector3D direction)
	Returns the rejection of vector from direction, i.e. projection of vector onto the plane defined by origin and direction More...

static void	Reject (ref Vector3D vector, ref Vector3D direction, out Vector3D result)
	Returns the rejection of vector from direction, i.e. projection of vector onto the plane defined by origin and direction More...

static Vector3D	Min (Vector3D value1, Vector3D value2)
	Returns a vector that contains the lowest value from each matching pair of components. More...

static void	Min (ref Vector3D value1, ref Vector3D value2, out Vector3D result)
	Returns a vector that contains the lowest value from each matching pair of components. More...

static Vector3D	Max (Vector3D value1, Vector3D value2)
	Returns a vector that contains the highest value from each matching pair of components. More...

static void	Max (ref Vector3D value1, ref Vector3D value2, out Vector3D result)
	Returns a vector that contains the highest value from each matching pair of components. More...

static void	MinMax (ref Vector3D min, ref Vector3D max)
	Separates minimal and maximal values of any two input vectors More...

static Vector3D	DominantAxisProjection (Vector3D value1)
	Returns a vector that is equal to the projection of the input vector to the coordinate axis that corresponds to the original vector's largest value. More...

static void	DominantAxisProjection (ref Vector3D value1, out Vector3D result)
	Calculates a vector that is equal to the projection of the input vector to the coordinate axis that corresponds to the original vector's largest value. The result is saved into a user-specified variable. More...

static Vector3D	Clamp (Vector3D value1, Vector3D min, Vector3D max)
	Restricts a value to be within a specified range. More...

static void	Clamp (ref Vector3D value1, ref Vector3D min, ref Vector3D max, out Vector3D result)
	Restricts a value to be within a specified range. More...

static Vector3D	ClampToSphere (Vector3D vector, double radius)

static void	ClampToSphere (ref Vector3D vector, double radius)

static Vector3D	Lerp (Vector3D value1, Vector3D value2, double amount)
	Performs a linear interpolation between two vectors. More...

static void	Lerp (ref Vector3D value1, ref Vector3D value2, double amount, out Vector3D result)
	Performs a linear interpolation between two vectors. More...

static Vector3D	Barycentric (Vector3D value1, Vector3D value2, Vector3D value3, double amount1, double amount2)
	Returns a Vector3 containing the 3D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 3D triangle. More...

static void	Barycentric (ref Vector3D value1, ref Vector3D value2, ref Vector3D value3, double amount1, double amount2, out Vector3D result)
	Returns a Vector3 containing the 3D Cartesian coordinates of a point specified in barycentric (areal) coordinates relative to a 3D triangle. More...

static void	Barycentric (Vector3D p, Vector3D a, Vector3D b, Vector3D c, out double u, out double v, out double w)
	Compute barycentric coordinates (u, v, w) for point p with respect to triangle (a, b, c) From : Real-Time Collision Detection, Christer Ericson, CRC Press 3.4 Barycentric Coordinates More...

static Vector3D	SmoothStep (Vector3D value1, Vector3D value2, double amount)
	Interpolates between two values using a cubic equation. More...

static void	SmoothStep (ref Vector3D value1, ref Vector3D value2, double amount, out Vector3D result)
	Interpolates between two values using a cubic equation. More...

static Vector3D	CatmullRom (Vector3D value1, Vector3D value2, Vector3D value3, Vector3D value4, double amount)
	Performs a Catmull-Rom interpolation using the specified positions. More...

static void	CatmullRom (ref Vector3D value1, ref Vector3D value2, ref Vector3D value3, ref Vector3D value4, double amount, out Vector3D result)
	Performs a Catmull-Rom interpolation using the specified positions. More...

static Vector3D	Hermite (Vector3D value1, Vector3D tangent1, Vector3D value2, Vector3D tangent2, double amount)
	Performs a Hermite spline interpolation. More...

static void	Hermite (ref Vector3D value1, ref Vector3D tangent1, ref Vector3D value2, ref Vector3D tangent2, double amount, out Vector3D result)
	Performs a Hermite spline interpolation. More...

static Vector3D	Transform (Vector3D position, MatrixD matrix)
	Transforms a 3D vector by the given matrix. More...

static Vector3D	Transform (Vector3 position, MatrixD matrix)

static Vector3D	Transform (Vector3D position, Matrix matrix)
	Transforms a 3D vector by the given matrix. More...

static Vector3D	Transform (Vector3D position, ref MatrixD matrix)

static void	Transform (ref Vector3D position, ref MatrixD matrix, out Vector3D result)
	Transforms a Vector3 by the given Matrix. More...

static void	Transform (ref Vector3 position, ref MatrixD matrix, out Vector3D result)

static void	TransformNoProjection (ref Vector3D vector, ref MatrixD matrix, out Vector3D result)

static void	RotateAndScale (ref Vector3D vector, ref MatrixD matrix, out Vector3D result)

static void	Transform (ref Vector3D position, ref MatrixI matrix, out Vector3D result)

static Vector3D	TransformNormal (Vector3D normal, Matrix matrix)
	Transforms a 3D vector normal by a matrix. More...

static Vector3D	TransformNormal (Vector3 normal, MatrixD matrix)
	Transforms a 3D vector normal by a matrix. More...

static Vector3D	TransformNormal (Vector3D normal, MatrixD matrix)
	Transforms a 3D vector normal by a matrix. More...

static void	TransformNormal (ref Vector3D normal, ref MatrixD matrix, out Vector3D result)
	Transforms a vector normal by a matrix. More...

static void	TransformNormal (ref Vector3 normal, ref MatrixD matrix, out Vector3D result)

static void	TransformNormal (ref Vector3D normal, ref MatrixI matrix, out Vector3D result)

static Vector3D	TransformNormal (Vector3D normal, MyBlockOrientation orientation)

static void	TransformNormal (ref Vector3D normal, MyBlockOrientation orientation, out Vector3D result)

static Vector3D	TransformNormal (Vector3D normal, ref MatrixD matrix)

static Vector3D	Transform (Vector3D value, Quaternion rotation)
	Transforms a Vector3 by a specified Quaternion rotation. More...

static void	Transform (ref Vector3D value, ref Quaternion rotation, out Vector3D result)
	Transforms a Vector3 by a specified Quaternion rotation. More...

static void	Rotate (ref Vector3D vector, ref MatrixD rotationMatrix, out Vector3D result)

static Vector3D	Rotate (Vector3D vector, MatrixD rotationMatrix)

static void	Transform (Vector3D[] sourceArray, ref MatrixD matrix, Vector3D[] destinationArray)
	Transforms a source array of Vector3s by a specified Matrix and writes the results to an existing destination array. More...

static unsafe void	Transform (Vector3D[] sourceArray, ref MatrixD matrix, Vector3D *destinationArray)
	Transforms a source array of Vector3s by a specified Matrix and writes the results to an existing destination array. More...

static void	Transform (Vector3D[] sourceArray, int sourceIndex, ref Matrix matrix, Vector3D[] destinationArray, int destinationIndex, int length)
	Applies a specified transform Matrix to a specified range of an array of Vector3s and writes the results into a specified range of a destination array. More...

static void	TransformNormal (Vector3D[] sourceArray, ref Matrix matrix, Vector3D[] destinationArray)
	Transforms an array of 3D vector normals by a specified Matrix. More...

static unsafe void	TransformNormal (Vector3D[] sourceArray, ref Matrix matrix, Vector3D *destinationArray)
	Transforms an array of 3D vector normals by a specified Matrix. More...

static void	TransformNormal (Vector3D[] sourceArray, int sourceIndex, ref Matrix matrix, Vector3D[] destinationArray, int destinationIndex, int length)
	Transforms a specified range in an array of 3D vector normals by a specified Matrix and writes the results to a specified range in a destination array. More...

static void	Transform (Vector3D[] sourceArray, ref Quaternion rotation, Vector3D[] destinationArray)
	Transforms a source array of Vector3s by a specified Quaternion rotation and writes the results to an existing destination array. More...

static void	Transform (Vector3D[] sourceArray, int sourceIndex, ref Quaternion rotation, Vector3D[] destinationArray, int destinationIndex, int length)
	Applies a specified Quaternion rotation to a specified range of an array of Vector3s and writes the results into a specified range of a destination array. More...

static Vector3D	Negate (Vector3D value)
	Returns a vector pointing in the opposite direction. More...

static void	Negate (ref Vector3D value, out Vector3D result)
	Returns a vector pointing in the opposite direction. More...

static Vector3D	Add (Vector3D value1, Vector3D value2)
	Adds two vectors. More...

static void	Add (ref Vector3D value1, ref Vector3D value2, out Vector3D result)
	Adds two vectors. More...

static Vector3D	Subtract (Vector3D value1, Vector3D value2)
	Subtracts a vector from a vector. More...

static void	Subtract (ref Vector3D value1, ref Vector3D value2, out Vector3D result)
	Subtracts a vector from a vector. More...

static Vector3D	Multiply (Vector3D value1, Vector3D value2)
	Multiplies the components of two vectors by each other. More...

static void	Multiply (ref Vector3D value1, ref Vector3D value2, out Vector3D result)
	Multiplies the components of two vectors by each other. More...

static Vector3D	Multiply (Vector3D value1, double scaleFactor)
	Multiplies a vector by a scalar value. More...

static void	Multiply (ref Vector3D value1, double scaleFactor, out Vector3D result)
	Multiplies a vector by a scalar value. More...

static Vector3D	Divide (Vector3D value1, Vector3D value2)
	Divides the components of a vector by the components of another vector. More...

static void	Divide (ref Vector3D value1, ref Vector3D value2, out Vector3D result)
	Divides the components of a vector by the components of another vector. More...

static Vector3D	Divide (Vector3D value1, double value2)
	Divides a vector by a scalar value. More...

static void	Divide (ref Vector3D value1, double value2, out Vector3D result)
	Divides a vector by a scalar value. More...

static Vector3D	CalculatePerpendicularVector (Vector3D v)

static void	GetAzimuthAndElevation (Vector3D v, out double azimuth, out double elevation)

static void	CreateFromAzimuthAndElevation (double azimuth, double elevation, out Vector3D direction)

static Vector3D	SwapYZCoordinates (Vector3D v)

static implicit	operator Vector3 (Vector3D v)

static implicit	operator Vector3D (Vector3 v)

static Vector3I	Round (Vector3D vect3d)

static Vector3I	Floor (Vector3D vect3d)

static void	Fract (ref Vector3D o, out Vector3D r)

static Vector3D	Round (Vector3D v, int numDecimals)

static void	Abs (ref Vector3D vector3D, out Vector3D abs)

Public Attributes
double	X
	Gets or sets the x-component of the vector. More...

double	Y
	Gets or sets the y-component of the vector. More...

double	Z
	Gets or sets the z-component of the vector. More...

Static Public Attributes
static Vector3D	Zero = new Vector3D()

static Vector3D	One = new Vector3D(1, 1, 1)

static Vector3D	Half = new Vector3D(0.5, 0.5, 0.5)

static Vector3D	PositiveInfinity = new Vector3D(double.PositiveInfinity)

static Vector3D	NegativeInfinity = new Vector3D(double.NegativeInfinity)

static Vector3D	UnitX = new Vector3D(1, 0.0, 0.0)

static Vector3D	UnitY = new Vector3D(0.0, 1, 0.0)

static Vector3D	UnitZ = new Vector3D(0.0, 0.0, 1)

static Vector3D	Up = new Vector3D(0.0, 1, 0.0)

static Vector3D	Down = new Vector3D(0.0, -1, 0.0)

static Vector3D	Right = new Vector3D(1, 0.0, 0.0)

static Vector3D	Left = new Vector3D(-1, 0.0, 0.0)

static Vector3D	Forward = new Vector3D(0.0, 0.0, -1)

static Vector3D	Backward = new Vector3D(0.0, 0.0, 1)

static Vector3D	MaxValue = new Vector3D(double.MaxValue, double.MaxValue, double.MaxValue)

static Vector3D	MinValue = new Vector3D(double.MinValue, double.MinValue, double.MinValue)

Properties
double	Sum `[get]`

double	Volume `[get]`

Detailed Description

Defines a vector with three components.

Definition at line 13 of file Vector3D.cs.

Constructor & Destructor Documentation

static VRageMath.Vector3D.Vector3D ( )

inlinestatic

Definition at line 48 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D	(	double	x,
		double	y,
		double	z
	)

inline

Initializes a new instance of Vector3.

Parameters

x	Initial value for the x-component of the vector.
y	Initial value for the y-component of the vector.
z	Initial value for the z-component of the vector.

Definition at line 56 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D ( double value )

inline

Creates a new instance of Vector3.

Parameters

value Value to initialize each component to.

Definition at line 67 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D	(	Vector2	value,
		double	z
	)

inline

Initializes a new instance of Vector3.

Parameters

value	A vector containing the values to initialize x and y components with.
z	Initial value for the z-component of the vector.

Definition at line 76 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D	(	Vector2D	value,
		double	z
	)

inline

Definition at line 83 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D ( Vector4 xyz )

inline

Definition at line 90 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D ( Vector4D xyz )

inline

Definition at line 97 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D ( Vector3 value )

inline

Definition at line 104 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D ( ref Vector3I value )

inline

Definition at line 111 of file Vector3D.cs.

VRageMath.Vector3D.Vector3D ( Vector3I value )

inline

Definition at line 118 of file Vector3D.cs.

Member Function Documentation

static Vector3D VRageMath.Vector3D.Abs ( Vector3D value )

inlinestatic

Definition at line 389 of file Vector3D.cs.

static void VRageMath.Vector3D.Abs	(	ref Vector3D	vector3D,
		out Vector3D	abs
	)

inlinestatic

Definition at line 2157 of file Vector3D.cs.

double VRageMath.Vector3D.AbsMax ( )

inline

Returns the component of the vector, whose absolute value is largest of all the three components.

Definition at line 993 of file Vector3D.cs.

int VRageMath.Vector3D.AbsMaxComponent ( )

inline

Definition at line 1007 of file Vector3D.cs.

double VRageMath.Vector3D.AbsMin ( )

inline

Returns the component of the vector, whose absolute value is smallest of all the three components.

Definition at line 959 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Add	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Adds two vectors.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 1877 of file Vector3D.cs.

static void VRageMath.Vector3D.Add	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out Vector3D	result
	)

inlinestatic

Adds two vectors.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] Sum of the source vectors.

Definition at line 1890 of file Vector3D.cs.

static bool VRageMath.Vector3D.ArePerpendicular	(	ref Vector3D	a,
		ref Vector3D	b
	)

inlinestatic

Definition at line 435 of file Vector3D.cs.

void VRageMath.Vector3D.AssertIsValid ( )

inline

Definition at line 424 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Barycentric	(	Vector3D	value1,
		Vector3D	value2,
		Vector3D	value3,
		double	amount1,
		double	amount2
	)

inlinestatic

Returns a Vector3 containing the 3D Cartesian coordinates of a point specified in Barycentric coordinates relative to a 3D triangle.

Parameters

value1	A Vector3 containing the 3D Cartesian coordinates of vertex 1 of the triangle.
value2	A Vector3 containing the 3D Cartesian coordinates of vertex 2 of the triangle.
value3	A Vector3 containing the 3D Cartesian coordinates of vertex 3 of the triangle.
amount1	Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in value2).
amount2	Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in value3).

Definition at line 1243 of file Vector3D.cs.

static void VRageMath.Vector3D.Barycentric	(	ref Vector3D	value1,
		ref Vector3D	value2,
		ref Vector3D	value3,
		double	amount1,
		double	amount2,
		out Vector3D	result
	)

inlinestatic

Returns a Vector3 containing the 3D Cartesian coordinates of a point specified in barycentric (areal) coordinates relative to a 3D triangle.

Parameters

value1	A Vector3 containing the 3D Cartesian coordinates of vertex 1 of the triangle.
value2	A Vector3 containing the 3D Cartesian coordinates of vertex 2 of the triangle.
value3	A Vector3 containing the 3D Cartesian coordinates of vertex 3 of the triangle.
amount1	Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in value2).
amount2	Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in value3).
result	[OutAttribute] The 3D Cartesian coordinates of the specified point are placed in this Vector3 on exit.

Definition at line 1256 of file Vector3D.cs.

static void VRageMath.Vector3D.Barycentric	(	Vector3D	p,
		Vector3D	a,
		Vector3D	b,
		Vector3D	c,
		out double	u,
		out double	v,
		out double	w
	)

inlinestatic

Compute barycentric coordinates (u, v, w) for point p with respect to triangle (a, b, c) From : Real-Time Collision Detection, Christer Ericson, CRC Press 3.4 Barycentric Coordinates

Definition at line 1268 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.CalculatePerpendicularVector ( Vector3D v )

inlinestatic

Definition at line 2020 of file Vector3D.cs.

void VRageMath.Vector3D.CalculatePerpendicularVector ( out Vector3D result )

inline

Definition at line 2028 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.CatmullRom	(	Vector3D	value1,
		Vector3D	value2,
		Vector3D	value3,
		Vector3D	value4,
		double	amount
	)

inlinestatic

Performs a Catmull-Rom interpolation using the specified positions.

Parameters

value1	The first position in the interpolation.
value2	The second position in the interpolation.
value3	The third position in the interpolation.
value4	The fourth position in the interpolation.
amount	Weighting factor.

Definition at line 1314 of file Vector3D.cs.

static void VRageMath.Vector3D.CatmullRom	(	ref Vector3D	value1,
		ref Vector3D	value2,
		ref Vector3D	value3,
		ref Vector3D	value4,
		double	amount,
		out Vector3D	result
	)

inlinestatic

Performs a Catmull-Rom interpolation using the specified positions.

Parameters

value1	The first position in the interpolation.
value2	The second position in the interpolation.
value3	The third position in the interpolation.
value4	The fourth position in the interpolation.
amount	Weighting factor.
result	[OutAttribute] A vector that is the result of the Catmull-Rom interpolation.

Definition at line 1329 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Clamp	(	Vector3D	value1,
		Vector3D	min,
		Vector3D	max
	)

inlinestatic

Restricts a value to be within a specified range.

Parameters

value1	The value to clamp.
min	The minimum value.
max	The maximum value.

Definition at line 1154 of file Vector3D.cs.

static void VRageMath.Vector3D.Clamp	(	ref Vector3D	value1,
		ref Vector3D	min,
		ref Vector3D	max,
		out Vector3D	result
	)

inlinestatic

Restricts a value to be within a specified range.

Parameters

value1	The value to clamp.
min	The minimum value.
max	The maximum value.
result	[OutAttribute] The clamped value.

Definition at line 1176 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.ClampToSphere	(	Vector3D	vector,
		double	radius
	)

inlinestatic

Definition at line 1193 of file Vector3D.cs.

static void VRageMath.Vector3D.ClampToSphere	(	ref Vector3D	vector,
		double	radius
	)

inlinestatic

Definition at line 1205 of file Vector3D.cs.

static void VRageMath.Vector3D.CreateFromAzimuthAndElevation	(	double	azimuth,
		double	elevation,
		out Vector3D	direction
	)

inlinestatic

Definition at line 2060 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Cross ( Vector3D v )

inline

Definition at line 798 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Cross	(	Vector3D	vector1,
		Vector3D	vector2
	)

inlinestatic

Calculates the cross product of two vectors.

Parameters

vector1	Source vector.
vector2	Source vector.

Definition at line 847 of file Vector3D.cs.

static void VRageMath.Vector3D.Cross	(	ref Vector3D	vector1,
		ref Vector3D	vector2,
		out Vector3D	result
	)

inlinestatic

Calculates the cross product of two vectors.

Parameters

vector1	Source vector.
vector2	Source vector.
result	[OutAttribute] The cross product of the vectors.

Definition at line 860 of file Vector3D.cs.

static double VRageMath.Vector3D.Distance	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Calculates the distance between two vectors.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 672 of file Vector3D.cs.

static double VRageMath.Vector3D.Distance	(	Vector3D	value1,
		Vector3	value2
	)

inlinestatic

Definition at line 680 of file Vector3D.cs.

static double VRageMath.Vector3D.Distance	(	Vector3	value1,
		Vector3D	value2
	)

inlinestatic

Definition at line 688 of file Vector3D.cs.

static void VRageMath.Vector3D.Distance	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out double	result
	)

inlinestatic

Calculates the distance between two vectors.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] The distance between the vectors.

Definition at line 699 of file Vector3D.cs.

static double VRageMath.Vector3D.DistanceSquared	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Calculates the distance between two vectors squared.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 712 of file Vector3D.cs.

static void VRageMath.Vector3D.DistanceSquared	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out double	result
	)

inlinestatic

Calculates the distance between two vectors squared.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] The distance between the two vectors squared.

Definition at line 724 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Divide	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Divides the components of a vector by the components of another vector.

Parameters

value1	Source vector.
value2	Divisor vector.

Definition at line 1973 of file Vector3D.cs.

static void VRageMath.Vector3D.Divide	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out Vector3D	result
	)

inlinestatic

Divides the components of a vector by the components of another vector.

Parameters

value1	Source vector.
value2	The divisor.
result	[OutAttribute] The result of the division.

Definition at line 1986 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Divide	(	Vector3D	value1,
		double	value2
	)

inlinestatic

Divides a vector by a scalar value.

Parameters

value1	Source vector.
value2	The divisor.

Definition at line 1997 of file Vector3D.cs.

static void VRageMath.Vector3D.Divide	(	ref Vector3D	value1,
		double	value2,
		out Vector3D	result
	)

inlinestatic

Divides a vector by a scalar value.

Parameters

value1	Source vector.
value2	The divisor.
result	[OutAttribute] The result of the division.

Definition at line 2011 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.DominantAxisProjection ( Vector3D value1 )

inlinestatic

Returns a vector that is equal to the projection of the input vector to the coordinate axis that corresponds to the original vector's largest value.

Parameters

value1 Source vector.

Definition at line 1106 of file Vector3D.cs.

static void VRageMath.Vector3D.DominantAxisProjection	(	ref Vector3D	value1,
		out Vector3D	result
	)

inlinestatic

Calculates a vector that is equal to the projection of the input vector to the coordinate axis that corresponds to the original vector's largest value. The result is saved into a user-specified variable.

Parameters

value1	Source vector.
result	[OutAttribute] The projected vector.

Definition at line 1132 of file Vector3D.cs.

static double VRageMath.Vector3D.Dot	(	Vector3D	vector1,
		Vector3D	vector2
	)

inlinestatic

Calculates the dot product of two vectors. If the two vectors are unit vectors, the dot product returns a doubleing point value between -1 and 1 that can be used to determine some properties of the angle between two vectors. For example, it can show whether the vectors are orthogonal, parallel, or have an acute or obtuse angle between them.

Parameters

vector1	Source vector.
vector2	Source vector.

Definition at line 756 of file Vector3D.cs.

static double VRageMath.Vector3D.Dot	(	Vector3D	vector1,
		Vector3	vector2
	)

inlinestatic

Definition at line 760 of file Vector3D.cs.

static void VRageMath.Vector3D.Dot	(	ref Vector3D	vector1,
		ref Vector3D	vector2,
		out double	result
	)

inlinestatic

Calculates the dot product of two vectors and writes the result to a user-specified variable. If the two vectors are unit vectors, the dot product returns a doubleing point value between -1 and 1 that can be used to determine some properties of the angle between two vectors. For example, it can show whether the vectors are orthogonal, parallel, or have an acute or obtuse angle between them.

Parameters

vector1	Source vector.
vector2	Source vector.
result	[OutAttribute] The dot product of the two vectors.

Definition at line 769 of file Vector3D.cs.

static void VRageMath.Vector3D.Dot	(	ref Vector3D	vector1,
		ref Vector3	vector2,
		out double	result
	)

inlinestatic

Definition at line 773 of file Vector3D.cs.

static void VRageMath.Vector3D.Dot	(	ref Vector3	vector1,
		ref Vector3D	vector2,
		out double	result
	)

inlinestatic

Definition at line 777 of file Vector3D.cs.

double VRageMath.Vector3D.Dot ( Vector3D v )

inline

Definition at line 782 of file Vector3D.cs.

double VRageMath.Vector3D.Dot ( Vector3 v )

inline

Definition at line 787 of file Vector3D.cs.

double VRageMath.Vector3D.Dot ( ref Vector3D v )

inline

Definition at line 793 of file Vector3D.cs.

bool VRageMath.Vector3D.Equals ( Vector3D other )

inline

Determines whether the specified Object is equal to the Vector3.

Parameters

other The Vector3 to compare with the current Vector3.

Definition at line 588 of file Vector3D.cs.

bool VRageMath.Vector3D.Equals	(	Vector3D	other,
		double	epsilon
	)

inline

Definition at line 596 of file Vector3D.cs.

override bool VRageMath.Vector3D.Equals ( object obj )

inline

Returns a value that indicates whether the current instance is equal to a specified object.

Parameters

obj	Object to make the comparison with.

Definition at line 605 of file Vector3D.cs.

static Vector3I VRageMath.Vector3D.Floor ( Vector3D vect3d )

inlinestatic

Definition at line 2140 of file Vector3D.cs.

static void VRageMath.Vector3D.Fract	(	ref Vector3D	o,
		out Vector3D	r
	)

inlinestatic

Definition at line 2145 of file Vector3D.cs.

static void VRageMath.Vector3D.GetAzimuthAndElevation	(	Vector3D	v,
		out double	azimuth,
		out double	elevation
	)

inlinestatic

Definition at line 2042 of file Vector3D.cs.

double VRageMath.Vector3D.GetDim ( int i )

inline

Definition at line 2103 of file Vector3D.cs.

long VRageMath.Vector3D.GetHash ( )

inline

Gets the hash code of the vector object.

Definition at line 624 of file Vector3D.cs.

override int VRageMath.Vector3D.GetHashCode ( )

inline

Definition at line 613 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Hermite	(	Vector3D	value1,
		Vector3D	tangent1,
		Vector3D	value2,
		Vector3D	tangent2,
		double	amount
	)

inlinestatic

Performs a Hermite spline interpolation.

Parameters

value1	Source position vector.
tangent1	Source tangent vector.
value2	Source position vector.
tangent2	Source tangent vector.
amount	Weighting factor.

Definition at line 1342 of file Vector3D.cs.

static void VRageMath.Vector3D.Hermite	(	ref Vector3D	value1,
		ref Vector3D	tangent1,
		ref Vector3D	value2,
		ref Vector3D	tangent2,
		double	amount,
		out Vector3D	result
	)

inlinestatic

Performs a Hermite spline interpolation.

Parameters

value1	Source position vector.
tangent1	Source tangent vector.
value2	Source position vector.
tangent2	Source tangent vector.
amount	Weighting factor.
result	[OutAttribute] The result of the Hermite spline interpolation.

Definition at line 1361 of file Vector3D.cs.

void VRageMath.Vector3D.Interpolate3	(	Vector3D	v0,
		Vector3D	v1,
		double	rt
	)

inline

Definition at line 409 of file Vector3D.cs.

bool VRageMath.Vector3D.IsInsideInclusive	(	ref Vector3D	min,
		ref Vector3D	max
	)

inline

Definition at line 2090 of file Vector3D.cs.

static bool VRageMath.Vector3D.IsUnit ( ref Vector3D value )

inlinestatic

Definition at line 429 of file Vector3D.cs.

bool VRageMath.Vector3D.IsValid ( )

inline

Definition at line 417 of file Vector3D.cs.

static bool VRageMath.Vector3D.IsZero ( Vector3D value )

inlinestatic

Definition at line 443 of file Vector3D.cs.

static bool VRageMath.Vector3D.IsZero	(	Vector3D	value,
		double	epsilon
	)

inlinestatic

Definition at line 449 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.IsZeroVector ( Vector3D value )

inlinestatic

Definition at line 455 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.IsZeroVector	(	Vector3D	value,
		double	epsilon
	)

inlinestatic

Definition at line 461 of file Vector3D.cs.

double VRageMath.Vector3D.Length ( )

inline

Calculates the length of the vector.

Definition at line 655 of file Vector3D.cs.

double VRageMath.Vector3D.LengthSquared ( )

inline

Calculates the length of the vector squared.

Definition at line 663 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Lerp	(	Vector3D	value1,
		Vector3D	value2,
		double	amount
	)

inlinestatic

Performs a linear interpolation between two vectors.

Parameters

value1	Source vector.
value2	Source vector.
amount	Value between 0 and 1 indicating the weight of value2.

Definition at line 1219 of file Vector3D.cs.

static void VRageMath.Vector3D.Lerp	(	ref Vector3D	value1,
		ref Vector3D	value2,
		double	amount,
		out Vector3D	result
	)

inlinestatic

Performs a linear interpolation between two vectors.

Parameters

value1	Source vector.
value2	Source vector.
amount	Value between 0 and 1 indicating the weight of value2.
result	[OutAttribute] The result of the interpolation.

Definition at line 1232 of file Vector3D.cs.

double VRageMath.Vector3D.Max ( )

inline

Returns the component of the vector that is largest of all the three components.

Definition at line 976 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Max	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Returns a vector that contains the highest value from each matching pair of components.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 1053 of file Vector3D.cs.

static void VRageMath.Vector3D.Max	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out Vector3D	result
	)

inlinestatic

Returns a vector that contains the highest value from each matching pair of components.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] The maximized vector.

Definition at line 1066 of file Vector3D.cs.

double VRageMath.Vector3D.Min ( )

inline

Returns the component of the vector that is smallest of all the three components.

Definition at line 942 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Min	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Returns a vector that contains the lowest value from each matching pair of components.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 1029 of file Vector3D.cs.

static void VRageMath.Vector3D.Min	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out Vector3D	result
	)

inlinestatic

Returns a vector that contains the lowest value from each matching pair of components.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] The minimized vector.

Definition at line 1042 of file Vector3D.cs.

static void VRageMath.Vector3D.MinMax	(	ref Vector3D	min,
		ref Vector3D	max
	)

inlinestatic

Separates minimal and maximal values of any two input vectors

Parameters

min	minimal values of the two vectors
max	maximal values of the two vectors

Definition at line 1078 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Multiply	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Multiplies the components of two vectors by each other.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 1925 of file Vector3D.cs.

static void VRageMath.Vector3D.Multiply	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out Vector3D	result
	)

inlinestatic

Multiplies the components of two vectors by each other.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] The result of the multiplication.

Definition at line 1938 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Multiply	(	Vector3D	value1,
		double	scaleFactor
	)

inlinestatic

Multiplies a vector by a scalar value.

Parameters

value1	Source vector.
scaleFactor	Scalar value.

Definition at line 1949 of file Vector3D.cs.

static void VRageMath.Vector3D.Multiply	(	ref Vector3D	value1,
		double	scaleFactor,
		out Vector3D	result
	)

inlinestatic

Multiplies a vector by a scalar value.

Parameters

value1	Source vector.
scaleFactor	Scalar value.
result	[OutAttribute] The result of the multiplication.

Definition at line 1962 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Negate ( Vector3D value )

inlinestatic

Returns a vector pointing in the opposite direction.

Parameters

value Source vector.

Definition at line 1853 of file Vector3D.cs.

static void VRageMath.Vector3D.Negate	(	ref Vector3D	value,
		out Vector3D	result
	)

inlinestatic

Returns a vector pointing in the opposite direction.

Parameters

value	Source vector.
result	[OutAttribute] Vector pointing in the opposite direction.

Definition at line 1866 of file Vector3D.cs.

double VRageMath.Vector3D.Normalize ( )

inline

Turns the current vector into a unit vector. The result is a vector one unit in length pointing in the same direction as the original vector.

returns length

Definition at line 807 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Normalize ( Vector3D value )

inlinestatic

Creates a unit vector from the specified vector. The result is a vector one unit in length pointing in the same direction as the original vector.

Parameters

value The source Vector3.

Definition at line 821 of file Vector3D.cs.

static void VRageMath.Vector3D.Normalize	(	ref Vector3D	value,
		out Vector3D	result
	)

inlinestatic

Creates a unit vector from the specified vector, writing the result to a user-specified variable. The result is a vector one unit in length pointing in the same direction as the original vector.

Parameters

value	Source vector.
result	[OutAttribute] The normalized vector.

Definition at line 835 of file Vector3D.cs.

static implicit VRageMath.Vector3D.operator Vector3 ( Vector3D v )

inlinestatic

Definition at line 2125 of file Vector3D.cs.

static implicit VRageMath.Vector3D.operator Vector3D ( Vector3 v )

inlinestatic

Definition at line 2130 of file Vector3D.cs.

static bool VRageMath.Vector3D.operator!=	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Tests vectors for inequality.

Parameters

value1	Vector to compare.
value2	Vector to compare.

Definition at line 169 of file Vector3D.cs.

static bool VRageMath.Vector3D.operator!=	(	Vector3	value1,
		Vector3D	value2
	)

inlinestatic

Definition at line 176 of file Vector3D.cs.

static bool VRageMath.Vector3D.operator!=	(	Vector3D	value1,
		Vector3	value2
	)

inlinestatic

Definition at line 183 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator%	(	Vector3D	value1,
		double	value2
	)

inlinestatic

Definition at line 191 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator%	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Modulo division of two vectors.

Parameters

value1
value2

Returns

Definition at line 206 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator*	(	Vector3D	value1,
		Vector3	value2
	)

inlinestatic

Multiplies the components of two vectors by each other.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 318 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator*	(	Vector3D	value,
		double	scaleFactor
	)

inlinestatic

Multiplies a vector by a scalar value.

Parameters

value	Source vector.
scaleFactor	Scalar value.

Definition at line 331 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator*	(	double	scaleFactor,
		Vector3D	value
	)

inlinestatic

Multiplies a vector by a scalar value.

Parameters

scaleFactor	Scalar value.
value	Source vector.

Definition at line 344 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator+	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Adds two vectors.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 219 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator+	(	Vector3D	value1,
		Vector3	value2
	)

inlinestatic

Definition at line 228 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator+	(	Vector3	value1,
		Vector3D	value2
	)

inlinestatic

Definition at line 237 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator+	(	Vector3D	value1,
		Vector3I	value2
	)

inlinestatic

Definition at line 246 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator+	(	Vector3D	value1,
		double	value2
	)

inlinestatic

Definition at line 255 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator+	(	Vector3D	value1,
		float	value2
	)

inlinestatic

Definition at line 264 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator- ( Vector3D value )

inlinestatic

Returns a vector pointing in the opposite direction.

Parameters

value Source vector.

Definition at line 129 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator-	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Subtracts a vector from a vector.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 277 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator-	(	Vector3D	value1,
		Vector3	value2
	)

inlinestatic

Definition at line 286 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator-	(	Vector3	value1,
		Vector3D	value2
	)

inlinestatic

Definition at line 295 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator-	(	Vector3D	value1,
		double	value2
	)

inlinestatic

Definition at line 305 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator/	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Divides the components of a vector by the components of another vector.

Parameters

value1	Source vector.
value2	Divisor vector.

Definition at line 357 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator/	(	Vector3D	value,
		double	divider
	)

inlinestatic

Divides a vector by a scalar value.

Parameters

value	Source vector.
divider	The divisor.

Definition at line 370 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.operator/	(	double	value,
		Vector3D	divider
	)

inlinestatic

Definition at line 380 of file Vector3D.cs.

static bool VRageMath.Vector3D.operator==	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Tests vectors for equality.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 143 of file Vector3D.cs.

static bool VRageMath.Vector3D.operator==	(	Vector3	value1,
		Vector3D	value2
	)

inlinestatic

Definition at line 150 of file Vector3D.cs.

static bool VRageMath.Vector3D.operator==	(	Vector3D	value1,
		Vector3	value2
	)

inlinestatic

Definition at line 157 of file Vector3D.cs.

static double VRageMath.Vector3D.RectangularDistance	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Calculates rectangular distance (a.k.a. Manhattan distance or Chessboard distace) between two vectors.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 736 of file Vector3D.cs.

static double VRageMath.Vector3D.RectangularDistance	(	ref Vector3D	value1,
		ref Vector3D	value2
	)

inlinestatic

Calculates rectangular distance (a.k.a. Manhattan distance or Chessboard distace) between two vectors.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 746 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Reflect	(	Vector3D	vector,
		Vector3D	normal
	)

inlinestatic

Returns the reflection of a vector off a surface that has the specified normal. Reference page contains code sample.

Parameters

vector	Source vector.
normal	Normal of the surface.

Definition at line 874 of file Vector3D.cs.

static void VRageMath.Vector3D.Reflect	(	ref Vector3D	vector,
		ref Vector3D	normal,
		out Vector3D	result
	)

inlinestatic

Returns the reflection of a vector off a surface that has the specified normal. Reference page contains code sample.

Parameters

vector	Source vector.
normal	Normal of the surface.
result	[OutAttribute] The reflected vector.

Definition at line 888 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Reject	(	Vector3D	vector,
		Vector3D	direction
	)

inlinestatic

Returns the rejection of vector from direction, i.e. projection of vector onto the plane defined by origin and direction

Parameters

vector	Vector which is to be rejected
direction	Direction from which the input vector will be rejected

Returns: Rejection of the vector from the given direction

Definition at line 902 of file Vector3D.cs.

static void VRageMath.Vector3D.Reject	(	ref Vector3D	vector,
		ref Vector3D	direction,
		out Vector3D	result
	)

inlinestatic

Returns the rejection of vector from direction, i.e. projection of vector onto the plane defined by origin and direction

Parameters

vector	Vector which is to be rejected
direction	Direction from which the input vector will be rejected
result	Rejection of the vector from the given direction

Definition at line 915 of file Vector3D.cs.

static void VRageMath.Vector3D.Rotate	(	ref Vector3D	vector,
		ref MatrixD	rotationMatrix,
		out Vector3D	result
	)

inlinestatic

Definition at line 1644 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Rotate	(	Vector3D	vector,
		MatrixD	rotationMatrix
	)

inlinestatic

Definition at line 1654 of file Vector3D.cs.

static void VRageMath.Vector3D.RotateAndScale	(	ref Vector3D	vector,
		ref MatrixD	matrix,
		out Vector3D	result
	)

inlinestatic

Transform the provided vector only about the rotation and scale terms of a matrix.

Definition at line 1471 of file Vector3D.cs.

static Vector3I VRageMath.Vector3D.Round ( Vector3D vect3d )

inlinestatic

Definition at line 2135 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Round	(	Vector3D	v,
		int	numDecimals
	)

inlinestatic

Definition at line 2152 of file Vector3D.cs.

void VRageMath.Vector3D.SetDim	(	int	i,
		double	value
	)

inline

Definition at line 2114 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Sign ( Vector3D value )

inlinestatic

Definition at line 394 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.SignNonZero ( Vector3D value )

inlinestatic

Returns per component sign, never returns zero. For zero component returns sign 1. Faster than Sign.

Definition at line 404 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.SmoothStep	(	Vector3D	value1,
		Vector3D	value2,
		double	amount
	)

inlinestatic

Interpolates between two values using a cubic equation.

Parameters

value1	Source value.
value2	Source value.
amount	Weighting value.

Definition at line 1286 of file Vector3D.cs.

static void VRageMath.Vector3D.SmoothStep	(	ref Vector3D	value1,
		ref Vector3D	value2,
		double	amount,
		out Vector3D	result
	)

inlinestatic

Interpolates between two values using a cubic equation.

Parameters

value1	Source vector.
value2	Source vector.
amount	Weighting value.
result	[OutAttribute] The interpolated value.

Definition at line 1301 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Step ( Vector3D value )

inlinestatic

Definition at line 467 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Subtract	(	Vector3D	value1,
		Vector3D	value2
	)

inlinestatic

Subtracts a vector from a vector.

Parameters

value1	Source vector.
value2	Source vector.

Definition at line 1901 of file Vector3D.cs.

static void VRageMath.Vector3D.Subtract	(	ref Vector3D	value1,
		ref Vector3D	value2,
		out Vector3D	result
	)

inlinestatic

Subtracts a vector from a vector.

Parameters

value1	Source vector.
value2	Source vector.
result	[OutAttribute] The result of the subtraction.

Definition at line 1914 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.SwapYZCoordinates ( Vector3D v )

inlinestatic

Definition at line 2098 of file Vector3D.cs.

override string VRageMath.Vector3D.ToString ( )

inline

Retrieves a string representation of the current object.

Definition at line 475 of file Vector3D.cs.

string VRageMath.Vector3D.ToString ( string format )

inline

Definition at line 578 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Transform	(	Vector3D	position,
		MatrixD	matrix
	)

inlinestatic

Transforms a 3D vector by the given matrix.

Parameters

position	The source vector.
matrix	The transformation matrix.

Definition at line 1378 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Transform	(	Vector3	position,
		MatrixD	matrix
	)

inlinestatic

Definition at line 1390 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Transform	(	Vector3D	position,
		Matrix	matrix
	)

inlinestatic

Transforms a 3D vector by the given matrix.

Parameters

position	The source vector.
matrix	The transformation matrix.

Definition at line 1407 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Transform	(	Vector3D	position,
		ref MatrixD	matrix
	)

inlinestatic

Definition at line 1420 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	ref Vector3D	position,
		ref MatrixD	matrix,
		out Vector3D	result
	)

inlinestatic

Transforms a Vector3 by the given Matrix.

Parameters

position	The source Vector3.
matrix	The transformation Matrix.
result	[OutAttribute] The transformed vector.

Definition at line 1430 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	ref Vector3	position,
		ref MatrixD	matrix,
		out Vector3D	result
	)

inlinestatic

Definition at line 1441 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	ref Vector3D	position,
		ref MatrixI	matrix,
		out Vector3D	result
	)

inlinestatic

Definition at line 1482 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.Transform	(	Vector3D	value,
		Quaternion	rotation
	)

inlinestatic

Transforms a Vector3 by a specified Quaternion rotation.

Parameters

value	The Vector3 to rotate.
rotation	The Quaternion rotation to apply.

Definition at line 1594 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	ref Vector3D	value,
		ref Quaternion	rotation,
		out Vector3D	result
	)

inlinestatic

Transforms a Vector3 by a specified Quaternion rotation.

Parameters

value	The Vector3 to rotate.
rotation	The Quaternion rotation to apply.
result	[OutAttribute] An existing Vector3 filled in with the results of the rotation.

Definition at line 1622 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	Vector3D[]	sourceArray,
		ref MatrixD	matrix,
		Vector3D[]	destinationArray
	)

inlinestatic

Transforms a source array of Vector3s by a specified Matrix and writes the results to an existing destination array.

Parameters

sourceArray	The source array.
matrix	The transform Matrix to apply.
destinationArray	An existing destination array into which the transformed Vector3s are written.

Definition at line 1665 of file Vector3D.cs.

static unsafe void VRageMath.Vector3D.Transform	(	Vector3D[]	sourceArray,
		ref MatrixD	matrix,
		Vector3D *	destinationArray
	)

inlinestatic

Transforms a source array of Vector3s by a specified Matrix and writes the results to an existing destination array.

Parameters

sourceArray	The source array.
matrix	The transform Matrix to apply.
destinationArray	An existing destination array into which the transformed Vector3s are written.

Definition at line 1684 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	Vector3D[]	sourceArray,
		int	sourceIndex,
		ref Matrix	matrix,
		Vector3D[]	destinationArray,
		int	destinationIndex,
		int	length
	)

inlinestatic

Applies a specified transform Matrix to a specified range of an array of Vector3s and writes the results into a specified range of a destination array.

Parameters

sourceArray	The source array.
sourceIndex	The index in the source array at which to start.
matrix	The transform Matrix to apply.
destinationArray	The existing destination array.
destinationIndex	The index in the destination array at which to start.
length	The number of Vector3s to transform.

Definition at line 1701 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	Vector3D[]	sourceArray,
		ref Quaternion	rotation,
		Vector3D[]	destinationArray
	)

inlinestatic

Transforms a source array of Vector3s by a specified Quaternion rotation and writes the results to an existing destination array.

Parameters

sourceArray	The source array.
rotation	The Quaternion rotation to apply.
destinationArray	An existing destination array into which the transformed Vector3s are written.

Definition at line 1775 of file Vector3D.cs.

static void VRageMath.Vector3D.Transform	(	Vector3D[]	sourceArray,
		int	sourceIndex,
		ref Quaternion	rotation,
		Vector3D[]	destinationArray,
		int	destinationIndex,
		int	length
	)

inlinestatic

Applies a specified Quaternion rotation to a specified range of an array of Vector3s and writes the results into a specified range of a destination array.

Parameters

sourceArray	The source array.
sourceIndex	The index in the source array at which to start.
rotation	The Quaternion rotation to apply.
destinationArray	The existing destination array.
destinationIndex	The index in the destination array at which to start.
length	The number of Vector3s to transform.

Definition at line 1813 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNoProjection	(	ref Vector3D	vector,
		ref MatrixD	matrix,
		out Vector3D	result
	)

inlinestatic

Transform the provided vector only about the rotation, scale and translation terms of a matrix.

This effectively treats the matrix as a 3x4 matrix and the input vector as a 4 dimensional vector with unit W coordinate.

Definition at line 1457 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.TransformNormal	(	Vector3D	normal,
		Matrix	matrix
	)

inlinestatic

Transforms a 3D vector normal by a matrix.

Parameters

normal	The source vector.
matrix	The transformation matrix.

Definition at line 1495 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.TransformNormal	(	Vector3	normal,
		MatrixD	matrix
	)

inlinestatic

Transforms a 3D vector normal by a matrix.

Parameters

normal	The source vector.
matrix	The transformation matrix.

Definition at line 1511 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.TransformNormal	(	Vector3D	normal,
		MatrixD	matrix
	)

inlinestatic

Transforms a 3D vector normal by a matrix.

Parameters

normal	The source vector.
matrix	The transformation matrix.

Definition at line 1527 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNormal	(	ref Vector3D	normal,
		ref MatrixD	matrix,
		out Vector3D	result
	)

inlinestatic

Transforms a vector normal by a matrix.

Parameters

normal	The source vector.
matrix	The transformation Matrix.
result	[OutAttribute] The Vector3 resulting from the transformation.

Definition at line 1543 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNormal	(	ref Vector3	normal,
		ref MatrixD	matrix,
		out Vector3D	result
	)

inlinestatic

Definition at line 1553 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNormal	(	ref Vector3D	normal,
		ref MatrixI	matrix,
		out Vector3D	result
	)

inlinestatic

Definition at line 1563 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.TransformNormal	(	Vector3D	normal,
		MyBlockOrientation	orientation
	)

inlinestatic

Definition at line 1570 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNormal	(	ref Vector3D	normal,
		MyBlockOrientation	orientation,
		out Vector3D	result
	)

inlinestatic

Definition at line 1577 of file Vector3D.cs.

static Vector3D VRageMath.Vector3D.TransformNormal	(	Vector3D	normal,
		ref MatrixD	matrix
	)

inlinestatic

Definition at line 1584 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNormal	(	Vector3D[]	sourceArray,
		ref Matrix	matrix,
		Vector3D[]	destinationArray
	)

inlinestatic

Transforms an array of 3D vector normals by a specified Matrix.

Parameters

sourceArray	The array of Vector3 normals to transform.
matrix	The transform matrix to apply.
destinationArray	An existing Vector3 array into which the results of the transforms are written.

Definition at line 1720 of file Vector3D.cs.

static unsafe void VRageMath.Vector3D.TransformNormal	(	Vector3D[]	sourceArray,
		ref Matrix	matrix,
		Vector3D *	destinationArray
	)

inlinestatic

Transforms an array of 3D vector normals by a specified Matrix.

Parameters

sourceArray	The array of Vector3 normals to transform.
matrix	The transform matrix to apply.
destinationArray	An existing Vector3 array into which the results of the transforms are written.

Definition at line 1739 of file Vector3D.cs.

static void VRageMath.Vector3D.TransformNormal	(	Vector3D[]	sourceArray,
		int	sourceIndex,
		ref Matrix	matrix,
		Vector3D[]	destinationArray,
		int	destinationIndex,
		int	length
	)

inlinestatic

Transforms a specified range in an array of 3D vector normals by a specified Matrix and writes the results to a specified range in a destination array.

Parameters

sourceArray	The source array of Vector3 normals.
sourceIndex	The starting index in the source array.
matrix	The transform Matrix to apply.
destinationArray	The destination Vector3 array.
destinationIndex	The starting index in the destination array.
length	The number of vectors to transform.

Definition at line 1756 of file Vector3D.cs.

static bool VRageMath.Vector3D.TryParse	(	string	str,
		out Vector3D	retval
	)

inlinestatic

Definition at line 481 of file Vector3D.cs.

long VRageMath.Vector3D.VolumeInt ( double multiplier )

inline

Definition at line 2085 of file Vector3D.cs.

Member Data Documentation

Vector3D VRageMath.Vector3D.Backward = new Vector3D(0.0, 0.0, 1)

static

Definition at line 28 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Down = new Vector3D(0.0, -1, 0.0)

static

Definition at line 24 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Forward = new Vector3D(0.0, 0.0, -1)

static

Definition at line 27 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Half = new Vector3D(0.5, 0.5, 0.5)

static

Definition at line 17 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Left = new Vector3D(-1, 0.0, 0.0)

static

Definition at line 26 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.MaxValue = new Vector3D(double.MaxValue, double.MaxValue, double.MaxValue)

static

Definition at line 29 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.MinValue = new Vector3D(double.MinValue, double.MinValue, double.MinValue)

static

Definition at line 30 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.NegativeInfinity = new Vector3D(double.NegativeInfinity)

static

Definition at line 19 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.One = new Vector3D(1, 1, 1)

static

Definition at line 16 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.PositiveInfinity = new Vector3D(double.PositiveInfinity)

static

Definition at line 18 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Right = new Vector3D(1, 0.0, 0.0)

static

Definition at line 25 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.UnitX = new Vector3D(1, 0.0, 0.0)

static

Definition at line 20 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.UnitY = new Vector3D(0.0, 1, 0.0)

static

Definition at line 21 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.UnitZ = new Vector3D(0.0, 0.0, 1)

static

Definition at line 22 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Up = new Vector3D(0.0, 1, 0.0)

static

Definition at line 23 of file Vector3D.cs.

double VRageMath.Vector3D.X

Gets or sets the x-component of the vector.

Definition at line 35 of file Vector3D.cs.

double VRageMath.Vector3D.Y

Gets or sets the y-component of the vector.

Definition at line 40 of file Vector3D.cs.

double VRageMath.Vector3D.Z

Gets or sets the z-component of the vector.

Definition at line 45 of file Vector3D.cs.

Vector3D VRageMath.Vector3D.Zero = new Vector3D()

static

Definition at line 15 of file Vector3D.cs.

Property Documentation

double VRageMath.Vector3D.Sum

get

Definition at line 2070 of file Vector3D.cs.

double VRageMath.Vector3D.Volume

get

Definition at line 2078 of file Vector3D.cs.

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

Sources/VRage.Math/Vector3D.cs

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Properties

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

Property Documentation