Class Vector3D

Defines a vector with three components. Vector3 with double floating point precision

Inheritance

System.Object

Vector3D

Namespace: VRageMath

Assembly: VRage.Math.dll

Syntax

public sealed class Vector3D : ValueType, IEquatable<Vector3D>

Constructors

Vector3D(Double)

Creates a new instance of Vector3.

Declaration

public Vector3D(double value)

Parameters

Type	Name	Description
System.Double	value	Value to initialize each component to.

Vector3D(Double, Double, Double)

Initializes a new instance of Vector3.

Declaration

public Vector3D(double x, double y, double z)

Parameters

Type	Name	Description
System.Double	x	Initial value for the x-component of the vector.
System.Double	y	Initial value for the y-component of the vector.
System.Double	z	Initial value for the z-component of the vector.

Vector3D(Vector2, Double)

Initializes a new instance of Vector3.

Declaration

public Vector3D(Vector2 value, double z)

Parameters

Type	Name	Description
Vector2	value	A vector containing the values to initialize x and y components with.
System.Double	z	Initial value for the z-component of the vector.

Vector3D(Vector2D, Double)

Declaration

public Vector3D(Vector2D value, double z)

Parameters

Type	Name	Description
Vector2D	value
System.Double	z

Vector3D(Vector3)

Declaration

public Vector3D(Vector3 value)

Parameters

Type	Name	Description
Vector3	value

Vector3D(Vector3D)

Declaration

public Vector3D(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Vector3D(Vector3I)

Declaration

public Vector3D(Vector3I value)

Parameters

Type	Name	Description
Vector3I	value

Vector3D(ref Vector3I)

Declaration

public Vector3D(ref Vector3I value)

Parameters

Type	Name	Description
Vector3I	value

Vector3D(Vector4)

Declaration

public Vector3D(Vector4 xyz)

Parameters

Type	Name	Description
Vector4	xyz

Vector3D(Vector4D)

Declaration

public Vector3D(Vector4D xyz)

Parameters

Type	Name	Description
Vector4D	xyz

Fields

Backward

Declaration

public static Vector3D Backward

Field Value

Type	Description
Vector3D

Down

Declaration

public static Vector3D Down

Field Value

Type	Description
Vector3D

Forward

Declaration

public static Vector3D Forward

Field Value

Type	Description
Vector3D

Half

Declaration

public static Vector3D Half

Field Value

Type	Description
Vector3D

Left

Declaration

public static Vector3D Left

Field Value

Type	Description
Vector3D

MaxValue

Declaration

public static Vector3D MaxValue

Field Value

Type	Description
Vector3D

MinValue

Declaration

public static Vector3D MinValue

Field Value

Type	Description
Vector3D

NegativeInfinity

Declaration

public static Vector3D NegativeInfinity

Field Value

Type	Description
Vector3D

One

Declaration

public static Vector3D One

Field Value

Type	Description
Vector3D

PositiveInfinity

Declaration

public static Vector3D PositiveInfinity

Field Value

Type	Description
Vector3D

Right

Declaration

public static Vector3D Right

Field Value

Type	Description
Vector3D

UnitX

Declaration

public static Vector3D UnitX

Field Value

Type	Description
Vector3D

UnitY

Declaration

public static Vector3D UnitY

Field Value

Type	Description
Vector3D

UnitZ

Declaration

public static Vector3D UnitZ

Field Value

Type	Description
Vector3D

Up

Declaration

public static Vector3D Up

Field Value

Type	Description
Vector3D

X

Gets or sets the x-component of the vector.

Declaration

public double X

Field Value

Type	Description
System.Double

Y

Gets or sets the y-component of the vector.

Declaration

public double Y

Field Value

Type	Description
System.Double

Z

Gets or sets the z-component of the vector.

Declaration

public double Z

Field Value

Type	Description
System.Double

Zero

Declaration

public static Vector3D Zero

Field Value

Type	Description
Vector3D

Properties

Sum

Declaration

public double Sum { get; }

Property Value

Type	Description
System.Double

Volume

Declaration

public double Volume { get; }

Property Value

Type	Description
System.Double

Methods

Abs(Vector3D)

Declaration

public static Vector3D Abs(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
Vector3D

Abs(ref Vector3D, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector3D
Vector3D	abs

AbsMax()

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

Declaration

public double AbsMax()

Returns

Type	Description
System.Double

AbsMaxComponent()

Declaration

public int AbsMaxComponent()

Returns

Type	Description
System.Int32

AbsMin()

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

Declaration

public double AbsMin()

Returns

Type	Description
System.Double

Add(Vector3D, Vector3D)

Adds two vectors.

Declaration

public static Vector3D Add(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Add(ref Vector3D, ref Vector3D, out Vector3D)

Adds two vectors.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
Vector3D	result	[OutAttribute] Sum of the source vectors.

Angle(Vector3D, Vector3D)

Gets angle between 2 vectors in radians

Declaration

public static double Angle(Vector3D a, Vector3D b)

Parameters

Type	Name	Description
Vector3D	a	Vector A
Vector3D	b	Vector B

Returns

Type	Description
System.Double	Angle in radians

ArePerpendicular(ref Vector3D, ref Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	a
Vector3D	b

Returns

Type	Description
System.Boolean

AssertIsValid()

Declaration

public void AssertIsValid()

Barycentric(Vector3D, Vector3D, Vector3D, Double, Double)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	A Vector3 containing the 3D Cartesian coordinates of vertex 1 of the triangle.
Vector3D	value2	A Vector3 containing the 3D Cartesian coordinates of vertex 2 of the triangle.
Vector3D	value3	A Vector3 containing the 3D Cartesian coordinates of vertex 3 of the triangle.
System.Double	amount1	Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in value2).
System.Double	amount2	Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in value3).

Returns

Type	Description
Vector3D

Barycentric(Vector3D, Vector3D, Vector3D, Vector3D, out Double, out Double, out Double)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	p
Vector3D	a
Vector3D	b
Vector3D	c
System.Double	u
System.Double	v
System.Double	w

Barycentric(ref Vector3D, ref Vector3D, ref Vector3D, Double, Double, out Vector3D)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	A Vector3 containing the 3D Cartesian coordinates of vertex 1 of the triangle.
Vector3D	value2	A Vector3 containing the 3D Cartesian coordinates of vertex 2 of the triangle.
Vector3D	value3	A Vector3 containing the 3D Cartesian coordinates of vertex 3 of the triangle.
System.Double	amount1	Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in value2).
System.Double	amount2	Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in value3).
Vector3D	result	[OutAttribute] The 3D Cartesian coordinates of the specified point are placed in this Vector3 on exit.

CalculatePerpendicularVector(Vector3D)

Declaration

public static Vector3D CalculatePerpendicularVector(Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
Vector3D

CalculatePerpendicularVector(out Vector3D)

Declaration

public void CalculatePerpendicularVector(out Vector3D result)

Parameters

Type	Name	Description
Vector3D	result

CatmullRom(Vector3D, Vector3D, Vector3D, Vector3D, Double)

Performs a Catmull-Rom interpolation using the specified positions.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	The first position in the interpolation.
Vector3D	value2	The second position in the interpolation.
Vector3D	value3	The third position in the interpolation.
Vector3D	value4	The fourth position in the interpolation.
System.Double	amount	Weighting factor.

Returns

Type	Description
Vector3D

CatmullRom(ref Vector3D, ref Vector3D, ref Vector3D, ref Vector3D, Double, out Vector3D)

Performs a Catmull-Rom interpolation using the specified positions.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	The first position in the interpolation.
Vector3D	value2	The second position in the interpolation.
Vector3D	value3	The third position in the interpolation.
Vector3D	value4	The fourth position in the interpolation.
System.Double	amount	Weighting factor.
Vector3D	result	[OutAttribute] A vector that is the result of the Catmull-Rom interpolation.

Clamp(Vector3D, Vector3D, Vector3D)

Restricts a value to be within a specified range.

Declaration

public static Vector3D Clamp(Vector3D value1, Vector3D min, Vector3D max)

Parameters

Type	Name	Description
Vector3D	value1	The value to clamp.
Vector3D	min	The minimum value.
Vector3D	max	The maximum value.

Returns

Type	Description
Vector3D

Clamp(ref Vector3D, ref Vector3D, ref Vector3D, out Vector3D)

Restricts a value to be within a specified range.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	The value to clamp.
Vector3D	min	The minimum value.
Vector3D	max	The maximum value.
Vector3D	result	[OutAttribute] The clamped value.

ClampToSphere(Vector3D, Double, Boolean)

Declaration

public static Vector3D ClampToSphere(Vector3D vector, double radius, bool force = false)

Parameters

Type	Name	Description
Vector3D	vector
System.Double	radius
System.Boolean	force

Returns

Type	Description
Vector3D

ClampToSphere(ref Vector3D, Double)

Declaration

public static void ClampToSphere(ref Vector3D vector, double radius)

Parameters

Type	Name	Description
Vector3D	vector
System.Double	radius

CreateFromAzimuthAndElevation(Double, Double, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
System.Double	azimuth
System.Double	elevation
Vector3D	direction

Cross(Vector3D)

Declaration

public Vector3D Cross(Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
Vector3D

Cross(Vector3D, Vector3D)

Calculates the cross product of two vectors.

Declaration

public static Vector3D Cross(Vector3D vector1, Vector3D vector2)

Parameters

Type	Name	Description
Vector3D	vector1	Source vector.
Vector3D	vector2	Source vector.

Returns

Type	Description
Vector3D

Cross(ref Vector3D, ref Vector3D, out Vector3D)

Calculates the cross product of two vectors.

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector1	Source vector.
Vector3D	vector2	Source vector.
Vector3D	result	[OutAttribute] The cross product of the vectors.

Distance(Vector3, Vector3D)

Declaration

public static double Distance(Vector3 value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3	value1
Vector3D	value2

Returns

Type	Description
System.Double

Distance(Vector3D, Vector3)

Declaration

public static double Distance(Vector3D value1, Vector3 value2)

Parameters

Type	Name	Description
Vector3D	value1
Vector3	value2

Returns

Type	Description
System.Double

Distance(Vector3D, Vector3D)

Calculates the distance between two vectors.

Declaration

public static double Distance(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
System.Double

Distance(ref Vector3D, ref Vector3D, out Double)

Calculates the distance between two vectors.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
System.Double	result	[OutAttribute] The distance between the vectors.

DistanceSquared(Vector3D, Vector3D)

Calculates the distance between two vectors squared.

Declaration

public static double DistanceSquared(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
System.Double

DistanceSquared(ref Vector3D, ref Vector3D, out Double)

Calculates the distance between two vectors squared.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
System.Double	result	[OutAttribute] The distance between the two vectors squared.

Divide(Vector3D, Double)

Divides a vector by a scalar value.

Declaration

public static Vector3D Divide(Vector3D value1, double value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
System.Double	value2	The divisor.

Returns

Type	Description
Vector3D

Divide(Vector3D, Vector3D)

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

Declaration

public static Vector3D Divide(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Divisor vector.

Returns

Type	Description
Vector3D

Divide(ref Vector3D, Double, out Vector3D)

Divides a vector by a scalar value.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
System.Double	value2	The divisor.
Vector3D	result	[OutAttribute] The result of the division.

Divide(ref Vector3D, ref Vector3D, out Vector3D)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	The divisor.
Vector3D	result	[OutAttribute] The result of the division.

DominantAxisProjection(Vector3D)

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.

Declaration

public static Vector3D DominantAxisProjection(Vector3D value1)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.

Returns

Type	Description
Vector3D

DominantAxisProjection(ref Vector3D, out Vector3D)

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.

Declaration

public static void DominantAxisProjection(ref Vector3D value1, out Vector3D result)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	result	[OutAttribute] The projected vector.

Dot(Vector3)

Declaration

public double Dot(Vector3 v)

Parameters

Type	Name	Description
Vector3	v

Returns

Type	Description
System.Double

Dot(ref Vector3, ref Vector3D, out Double)

Declaration

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

Parameters

Type	Name	Description
Vector3	vector1
Vector3D	vector2
System.Double	result

Dot(Vector3D)

Declaration

public double Dot(Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
System.Double

Dot(Vector3D, Vector3)

Declaration

public static double Dot(Vector3D vector1, Vector3 vector2)

Parameters

Type	Name	Description
Vector3D	vector1
Vector3	vector2

Returns

Type	Description
System.Double

Dot(Vector3D, Vector3D)

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.

Declaration

public static double Dot(Vector3D vector1, Vector3D vector2)

Parameters

Type	Name	Description
Vector3D	vector1	Source vector.
Vector3D	vector2	Source vector.

Returns

Type	Description
System.Double

Dot(ref Vector3D)

Declaration

public double Dot(ref Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
System.Double

Dot(ref Vector3D, ref Vector3, out Double)

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector1
Vector3	vector2
System.Double	result

Dot(ref Vector3D, ref Vector3D, out Double)

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.

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector1	Source vector.
Vector3D	vector2	Source vector.
System.Double	result	[OutAttribute] The dot product of the two vectors.

Equals(Object)

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

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
System.Object	obj	Object to make the comparison with.

Returns

Type	Description
System.Boolean

Equals(Vector3D)

Determines whether the specified Object is equal to the Vector3.

Declaration

public bool Equals(Vector3D other)

Parameters

Type	Name	Description
Vector3D	other	The Vector3 to compare with the current Vector3.

Returns

Type	Description
System.Boolean

Equals(Vector3D, Double)

Declaration

public bool Equals(Vector3D other, double epsilon)

Parameters

Type	Name	Description
Vector3D	other
System.Double	epsilon

Returns

Type	Description
System.Boolean

Floor(Vector3D)

Declaration

public static Vector3I Floor(Vector3D vect3d)

Parameters

Type	Name	Description
Vector3D	vect3d

Returns

Type	Description
Vector3I

Fract(ref Vector3D, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	o
Vector3D	r

GetAzimuthAndElevation(Vector3D, out Double, out Double)

Declaration

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

Parameters

Type	Name	Description
Vector3D	v
System.Double	azimuth
System.Double	elevation

GetDim(Int32)

Declaration

public double GetDim(int i)

Parameters

Type	Name	Description
System.Int32	i

Returns

Type	Description
System.Double

GetHash()

Gets the hash code of the vector object.

Declaration

public long GetHash()

Returns

Type	Description
System.Int64

GetHashCode()

Declaration

public override int GetHashCode()

Returns

Type	Description
System.Int32

Hermite(Vector3D, Vector3D, Vector3D, Vector3D, Double)

Performs a Hermite spline interpolation.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source position vector.
Vector3D	tangent1	Source tangent vector.
Vector3D	value2	Source position vector.
Vector3D	tangent2	Source tangent vector.
System.Double	amount	Weighting factor.

Returns

Type	Description
Vector3D

Hermite(ref Vector3D, ref Vector3D, ref Vector3D, ref Vector3D, Double, out Vector3D)

Performs a Hermite spline interpolation.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source position vector.
Vector3D	tangent1	Source tangent vector.
Vector3D	value2	Source position vector.
Vector3D	tangent2	Source tangent vector.
System.Double	amount	Weighting factor.
Vector3D	result	[OutAttribute] The result of the Hermite spline interpolation.

Interpolate3(Vector3D, Vector3D, Double)

Declaration

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

Parameters

Type	Name	Description
Vector3D	v0
Vector3D	v1
System.Double	rt

IsInsideInclusive(ref Vector3D, ref Vector3D)

Declaration

public bool IsInsideInclusive(ref Vector3D min, ref Vector3D max)

Parameters

Type	Name	Description
Vector3D	min
Vector3D	max

Returns

Type	Description
System.Boolean

IsUnit(ref Vector3D)

Declaration

public static bool IsUnit(ref Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
System.Boolean

IsValid()

Declaration

public bool IsValid()

Returns

Type	Description
System.Boolean

IsZero()

Declaration

public bool IsZero()

Returns

Type	Description
System.Boolean

IsZero(Vector3D)

Declaration

public static bool IsZero(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
System.Boolean

IsZero(Vector3D, Double)

Declaration

public static bool IsZero(Vector3D value, double epsilon)

Parameters

Type	Name	Description
Vector3D	value
System.Double	epsilon

Returns

Type	Description
System.Boolean

IsZeroVector(Vector3D)

Declaration

public static Vector3D IsZeroVector(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
Vector3D

IsZeroVector(Vector3D, Double)

Declaration

public static Vector3D IsZeroVector(Vector3D value, double epsilon)

Parameters

Type	Name	Description
Vector3D	value
System.Double	epsilon

Returns

Type	Description
Vector3D

Length()

Calculates the length of the vector.

Declaration

public double Length()

Returns

Type	Description
System.Double

LengthSquared()

Calculates the length of the vector squared.

Declaration

public double LengthSquared()

Returns

Type	Description
System.Double

Lerp(Vector3D, Vector3D, Double)

Performs a linear interpolation between two vectors.

Declaration

public static Vector3D Lerp(Vector3D value1, Vector3D value2, double amount)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
System.Double	amount	Value between 0 and 1 indicating the weight of value2.

Returns

Type	Description
Vector3D

Lerp(ref Vector3D, ref Vector3D, Double, out Vector3D)

Performs a linear interpolation between two vectors.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
System.Double	amount	Value between 0 and 1 indicating the weight of value2.
Vector3D	result	[OutAttribute] The result of the interpolation.

Max()

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

Declaration

public double Max()

Returns

Type	Description
System.Double

Max(Vector3D, Vector3D)

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

Declaration

public static Vector3D Max(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Max(ref Vector3D, ref Vector3D, out Vector3D)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
Vector3D	result	[OutAttribute] The maximized vector.

Min()

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

Declaration

public double Min()

Returns

Type	Description
System.Double

Min(Vector3D, Vector3D)

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

Declaration

public static Vector3D Min(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Min(ref Vector3D, ref Vector3D, out Vector3D)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
Vector3D	result	[OutAttribute] The minimized vector.

MinMax(ref Vector3D, ref Vector3D)

Separates minimal and maximal values of any two input vectors

Declaration

public static void MinMax(ref Vector3D min, ref Vector3D max)

Parameters

Type	Name	Description
Vector3D	min	minimal values of the two vectors
Vector3D	max	maximal values of the two vectors

Multiply(Vector3D, Double)

Multiplies a vector by a scalar value.

Declaration

public static Vector3D Multiply(Vector3D value1, double scaleFactor)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
System.Double	scaleFactor	Scalar value.

Returns

Type	Description
Vector3D

Multiply(Vector3D, Vector3D)

Multiplies the components of two vectors by each other.

Declaration

public static Vector3D Multiply(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Multiply(ref Vector3D, Double, out Vector3D)

Multiplies a vector by a scalar value.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
System.Double	scaleFactor	Scalar value.
Vector3D	result	[OutAttribute] The result of the multiplication.

Multiply(ref Vector3D, ref Vector3D, out Vector3D)

Multiplies the components of two vectors by each other.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
Vector3D	result	[OutAttribute] The result of the multiplication.

Negate(Vector3D)

Returns a vector pointing in the opposite direction.

Declaration

public static Vector3D Negate(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value	Source vector.

Returns

Type	Description
Vector3D

Negate(ref Vector3D, out Vector3D)

Returns a vector pointing in the opposite direction.

Declaration

public static void Negate(ref Vector3D value, out Vector3D result)

Parameters

Type	Name	Description
Vector3D	value	Source vector.
Vector3D	result	[OutAttribute] Vector pointing in the opposite direction.

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.

Declaration

public double Normalize()

Returns

Type	Description
System.Double

Normalize(Vector3D)

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.

Declaration

public static Vector3D Normalize(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value	The source Vector3.

Returns

Type	Description
Vector3D

Normalize(ref Vector3D, out Vector3D)

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.

Declaration

public static void Normalize(ref Vector3D value, out Vector3D result)

Parameters

Type	Name	Description
Vector3D	value	Source vector.
Vector3D	result	[OutAttribute] The normalized vector.

Normalized()

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.

Declaration

public Vector3D Normalized()

Returns

Type	Description
Vector3D	Normalized vector

ProjectOnPlane(ref Vector3D, ref Vector3D)

Projects given vector on plane specified by it's normal.

Declaration

public static Vector3D ProjectOnPlane(ref Vector3D vec, ref Vector3D planeNormal)

Parameters

Type	Name	Description
Vector3D	vec	Vector which is to be projected
Vector3D	planeNormal	Plane normal (may or may not be normalized)

Returns

Type	Description
Vector3D	Vector projected on plane

ProjectOnVector(ref Vector3D, ref Vector3D)

Projects vector on another vector resulting in new vector in guided vector's direction with different length.

Declaration

public static Vector3D ProjectOnVector(ref Vector3D vec, ref Vector3D guideVector)

Parameters

Type	Name	Description
Vector3D	vec	Vector which is to be projected
Vector3D	guideVector	Guide vector (may or may not be normalized)

Returns

Type	Description
Vector3D	Vector projected on guide vector

RectangularDistance(Vector3D, Vector3D)

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

Declaration

public static double RectangularDistance(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
System.Double

RectangularDistance(ref Vector3D, ref Vector3D)

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

Declaration

public static double RectangularDistance(ref Vector3D value1, ref Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
System.Double

Reflect(Vector3D, Vector3D)

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

Declaration

public static Vector3D Reflect(Vector3D vector, Vector3D normal)

Parameters

Type	Name	Description
Vector3D	vector	Source vector.
Vector3D	normal	Normal of the surface.

Returns

Type	Description
Vector3D

Reflect(ref Vector3D, ref Vector3D, out Vector3D)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector	Source vector.
Vector3D	normal	Normal of the surface.
Vector3D	result	[OutAttribute] The reflected vector.

Reject(Vector3D, Vector3D)

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

Declaration

public static Vector3D Reject(Vector3D vector, Vector3D direction)

Parameters

Type	Name	Description
Vector3D	vector	Vector which is to be rejected
Vector3D	direction	Direction from which the input vector will be rejected

Returns

Type	Description
Vector3D	Rejection of the vector from the given direction

Reject(ref Vector3D, ref Vector3D, out Vector3D)

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

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector	Vector which is to be rejected
Vector3D	direction	Direction from which the input vector will be rejected
Vector3D	result	Rejection of the vector from the given direction

Rotate(Vector3D, Double)

Declaration

public Vector3D Rotate(Vector3D axis, double rotationInRadians)

Parameters

Type	Name	Description
Vector3D	axis
System.Double	rotationInRadians

Returns

Type	Description
Vector3D

Rotate(Vector3D, MatrixD)

Declaration

public static Vector3D Rotate(Vector3D vector, MatrixD rotationMatrix)

Parameters

Type	Name	Description
Vector3D	vector
MatrixD	rotationMatrix

Returns

Type	Description
Vector3D

Rotate(ref Vector3D, ref MatrixD, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector
MatrixD	rotationMatrix
Vector3D	result

RotateAndScale(ref Vector3D, ref MatrixD, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector
MatrixD	matrix
Vector3D	result

Round(Vector3D)

Declaration

public static Vector3I Round(Vector3D vect3d)

Parameters

Type	Name	Description
Vector3D	vect3d

Returns

Type	Description
Vector3I

Round(Vector3D, Int32)

Declaration

public static Vector3D Round(Vector3D v, int numDecimals)

Parameters

Type	Name	Description
Vector3D	v
System.Int32	numDecimals

Returns

Type	Description
Vector3D

SetDim(Int32, Double)

Declaration

public void SetDim(int i, double value)

Parameters

Type	Name	Description
System.Int32	i
System.Double	value

Sign(Vector3D)

Declaration

public static Vector3D Sign(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
Vector3D

SignNonZero(Vector3D)

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

Declaration

public static Vector3D SignNonZero(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
Vector3D

SmoothStep(Vector3D, Vector3D, Double)

Interpolates between two values using a cubic equation.

Declaration

public static Vector3D SmoothStep(Vector3D value1, Vector3D value2, double amount)

Parameters

Type	Name	Description
Vector3D	value1	Source value.
Vector3D	value2	Source value.
System.Double	amount	Weighting value.

Returns

Type	Description
Vector3D

SmoothStep(ref Vector3D, ref Vector3D, Double, out Vector3D)

Interpolates between two values using a cubic equation.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
System.Double	amount	Weighting value.
Vector3D	result	[OutAttribute] The interpolated value.

Step(Vector3D)

Declaration

public static Vector3D Step(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value

Returns

Type	Description
Vector3D

Subtract(Vector3D, Vector3D)

Subtracts a vector from a vector.

Declaration

public static Vector3D Subtract(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Subtract(ref Vector3D, ref Vector3D, out Vector3D)

Subtracts a vector from a vector.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.
Vector3D	result	[OutAttribute] The result of the subtraction.

SwapYZCoordinates(Vector3D)

Declaration

public static Vector3D SwapYZCoordinates(Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
Vector3D

ToString()

Retrieves a string representation of the current object.

Declaration

public override string ToString()

Returns

Type	Description
System.String

ToString(String)

Declaration

public string ToString(string format)

Parameters

Type	Name	Description
System.String	format

Returns

Type	Description
System.String

Transform(Vector3, MatrixD)

Declaration

public static Vector3D Transform(Vector3 position, MatrixD matrix)

Parameters

Type	Name	Description
Vector3	position
MatrixD	matrix

Returns

Type	Description
Vector3D

Transform(ref Vector3, ref MatrixD, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3	position
MatrixD	matrix
Vector3D	result

Transform(Vector3D, Matrix)

Transforms a 3D vector by the given matrix.

Declaration

public static Vector3D Transform(Vector3D position, Matrix matrix)

Parameters

Type	Name	Description
Vector3D	position	The source vector.
Matrix	matrix	The transformation matrix.

Returns

Type	Description
Vector3D

Transform(Vector3D, MatrixD)

Transforms a 3D vector by the given matrix.

Declaration

public static Vector3D Transform(Vector3D position, MatrixD matrix)

Parameters

Type	Name	Description
Vector3D	position	The source vector.
MatrixD	matrix	The transformation matrix.

Returns

Type	Description
Vector3D

Transform(Vector3D, ref MatrixD)

Declaration

public static Vector3D Transform(Vector3D position, ref MatrixD matrix)

Parameters

Type	Name	Description
Vector3D	position
MatrixD	matrix

Returns

Type	Description
Vector3D

Transform(Vector3D, Quaternion)

Transforms a Vector3 by a specified Quaternion rotation.

Declaration

public static Vector3D Transform(Vector3D value, Quaternion rotation)

Parameters

Type	Name	Description
Vector3D	value	The Vector3 to rotate.
Quaternion	rotation	The Quaternion rotation to apply.

Returns

Type	Description
Vector3D

Transform(Vector3D, QuaternionD)

Transforms a Vector3 by a specified Quaternion rotation.

Declaration

public static Vector3D Transform(Vector3D value, QuaternionD rotation)

Parameters

Type	Name	Description
Vector3D	value	The Vector3 to rotate.
QuaternionD	rotation	The Quaternion rotation to apply.

Returns

Type	Description
Vector3D

Transform(ref Vector3D, ref MatrixD, out Vector3D)

Transforms a Vector3 by the given Matrix.

Declaration

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

Parameters

Type	Name	Description
Vector3D	position	The source Vector3.
MatrixD	matrix	The transformation Matrix.
Vector3D	result	[OutAttribute] The transformed vector.

Transform(ref Vector3D, ref MatrixI, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	position
MatrixI	matrix
Vector3D	result

Transform(ref Vector3D, ref Quaternion, out Vector3D)

Transforms a Vector3 by a specified Quaternion rotation.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value	The Vector3 to rotate.
Quaternion	rotation	The Quaternion rotation to apply.
Vector3D	result	[OutAttribute] An existing Vector3 filled in with the results of the rotation.

Transform(Vector3D[], Int32, ref Matrix, Vector3D[], Int32, Int32)

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.

Declaration

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

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The source array.
System.Int32	sourceIndex	The index in the source array at which to start.
Matrix	matrix	The transform Matrix to apply.
Vector3D[]	destinationArray	The existing destination array.
System.Int32	destinationIndex	The index in the destination array at which to start.
System.Int32	length	The number of Vector3s to transform.

Transform(Vector3D[], Int32, ref Quaternion, Vector3D[], Int32, Int32)

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.

Declaration

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

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The source array.
System.Int32	sourceIndex	The index in the source array at which to start.
Quaternion	rotation	The Quaternion rotation to apply.
Vector3D[]	destinationArray	The existing destination array.
System.Int32	destinationIndex	The index in the destination array at which to start.
System.Int32	length	The number of Vector3s to transform.

Transform(Vector3D[], ref MatrixD, Vector3D*)

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

Declaration

public static void Transform(Vector3D[] sourceArray, ref MatrixD matrix, Vector3D*destinationArray)

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The source array.
MatrixD	matrix	The transform Matrix to apply.
Vector3D*	destinationArray	An existing destination array into which the transformed Vector3s are written.

Transform(Vector3D[], ref MatrixD, Vector3D[])

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

Declaration

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

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The source array.
MatrixD	matrix	The transform Matrix to apply.
Vector3D[]	destinationArray	An existing destination array into which the transformed Vector3s are written.

Transform(Vector3D[], ref Quaternion, Vector3D[])

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

Declaration

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

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The source array.
Quaternion	rotation	The Quaternion rotation to apply.
Vector3D[]	destinationArray	An existing destination array into which the transformed Vector3s are written.

TransformNoProjection(ref Vector3D, ref MatrixD, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	vector
MatrixD	matrix
Vector3D	result

TransformNormal(Vector3, MatrixD)

Transforms a 3D vector normal by a matrix.

Declaration

public static Vector3D TransformNormal(Vector3 normal, MatrixD matrix)

Parameters

Type	Name	Description
Vector3	normal	The source vector.
MatrixD	matrix	The transformation matrix.

Returns

Type	Description
Vector3D

TransformNormal(ref Vector3, ref MatrixD, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3	normal
MatrixD	matrix
Vector3D	result

TransformNormal(Vector3D, Matrix)

Transforms a 3D vector normal by a matrix.

Declaration

public static Vector3D TransformNormal(Vector3D normal, Matrix matrix)

Parameters

Type	Name	Description
Vector3D	normal	The source vector.
Matrix	matrix	The transformation matrix.

Returns

Type	Description
Vector3D

TransformNormal(Vector3D, MatrixD)

Transforms a 3D vector normal by a matrix.

Declaration

public static Vector3D TransformNormal(Vector3D normal, MatrixD matrix)

Parameters

Type	Name	Description
Vector3D	normal	The source vector.
MatrixD	matrix	The transformation matrix.

Returns

Type	Description
Vector3D

TransformNormal(Vector3D, ref MatrixD)

Declaration

public static Vector3D TransformNormal(Vector3D normal, ref MatrixD matrix)

Parameters

Type	Name	Description
Vector3D	normal
MatrixD	matrix

Returns

Type	Description
Vector3D

TransformNormal(Vector3D, MyBlockOrientation)

Declaration

public static Vector3D TransformNormal(Vector3D normal, MyBlockOrientation orientation)

Parameters

Type	Name	Description
Vector3D	normal
MyBlockOrientation	orientation

Returns

Type	Description
Vector3D

TransformNormal(ref Vector3D, ref MatrixD, out Vector3D)

Transforms a vector normal by a matrix.

Declaration

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

Parameters

Type	Name	Description
Vector3D	normal	The source vector.
MatrixD	matrix	The transformation Matrix.
Vector3D	result	[OutAttribute] The Vector3 resulting from the transformation.

TransformNormal(ref Vector3D, ref MatrixI, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	normal
MatrixI	matrix
Vector3D	result

TransformNormal(ref Vector3D, MyBlockOrientation, out Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3D	normal
MyBlockOrientation	orientation
Vector3D	result

TransformNormal(Vector3D[], Int32, ref Matrix, Vector3D[], Int32, Int32)

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.

Declaration

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

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The source array of Vector3 normals.
System.Int32	sourceIndex	The starting index in the source array.
Matrix	matrix	The transform Matrix to apply.
Vector3D[]	destinationArray	The destination Vector3 array.
System.Int32	destinationIndex	The starting index in the destination array.
System.Int32	length	The number of vectors to transform.

TransformNormal(Vector3D[], ref Matrix, Vector3D*)

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

Declaration

public static void TransformNormal(Vector3D[] sourceArray, ref Matrix matrix, Vector3D*destinationArray)

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The array of Vector3 normals to transform.
Matrix	matrix	The transform matrix to apply.
Vector3D*	destinationArray	An existing Vector3 array into which the results of the transforms are written.

TransformNormal(Vector3D[], ref Matrix, Vector3D[])

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

Declaration

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

Parameters

Type	Name	Description
Vector3D[]	sourceArray	The array of Vector3 normals to transform.
Matrix	matrix	The transform matrix to apply.
Vector3D[]	destinationArray	An existing Vector3 array into which the results of the transforms are written.

TryParse(String, out Vector3D)

Declaration

public static bool TryParse(string str, out Vector3D retval)

Parameters

Type	Name	Description
System.String	str
Vector3D	retval

Returns

Type	Description
System.Boolean

VolumeInt(Double)

Declaration

public long VolumeInt(double multiplier)

Parameters

Type	Name	Description
System.Double	multiplier

Returns

Type	Description
System.Int64

Operators

Addition(Vector3, Vector3D)

Declaration

public static Vector3D operator +(Vector3 value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3	value1
Vector3D	value2

Returns

Type	Description
Vector3D

Addition(Vector3D, Double)

Declaration

public static Vector3D operator +(Vector3D value1, double value2)

Parameters

Type	Name	Description
Vector3D	value1
System.Double	value2

Returns

Type	Description
Vector3D

Addition(Vector3D, Single)

Declaration

public static Vector3D operator +(Vector3D value1, float value2)

Parameters

Type	Name	Description
Vector3D	value1
System.Single	value2

Returns

Type	Description
Vector3D

Addition(Vector3D, Vector3)

Declaration

public static Vector3D operator +(Vector3D value1, Vector3 value2)

Parameters

Type	Name	Description
Vector3D	value1
Vector3	value2

Returns

Type	Description
Vector3D

Addition(Vector3D, Vector3D)

Adds two vectors.

Declaration

public static Vector3D operator +(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Addition(Vector3D, Vector3I)

Declaration

public static Vector3D operator +(Vector3D value1, Vector3I value2)

Parameters

Type	Name	Description
Vector3D	value1
Vector3I	value2

Returns

Type	Description
Vector3D

Division(Double, Vector3D)

Declaration

public static Vector3D operator /(double value, Vector3D divider)

Parameters

Type	Name	Description
System.Double	value
Vector3D	divider

Returns

Type	Description
Vector3D

Division(Vector3D, Double)

Divides a vector by a scalar value.

Declaration

public static Vector3D operator /(Vector3D value, double divider)

Parameters

Type	Name	Description
Vector3D	value	Source vector.
System.Double	divider	The divisor.

Returns

Type	Description
Vector3D

Division(Vector3D, Vector3D)

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

Declaration

public static Vector3D operator /(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Divisor vector.

Returns

Type	Description
Vector3D

Equality(Vector3, Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3	value1
Vector3D	value2

Returns

Type	Description
System.Boolean

Equality(Vector3D, Vector3)

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1
Vector3	value2

Returns

Type	Description
System.Boolean

Equality(Vector3D, Vector3D)

Tests vectors for equality.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
System.Boolean

Explicit(Vector3D to Vector3I)

Declaration

public static explicit operator Vector3I(Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
Vector3I

Implicit(Vector3 to Vector3D)

Declaration

public static implicit operator Vector3D(Vector3 v)

Parameters

Type	Name	Description
Vector3	v

Returns

Type	Description
Vector3D

Implicit(Vector3D to Vector3)

Declaration

public static implicit operator Vector3(Vector3D v)

Parameters

Type	Name	Description
Vector3D	v

Returns

Type	Description
Vector3

Inequality(Vector3, Vector3D)

Declaration

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

Parameters

Type	Name	Description
Vector3	value1
Vector3D	value2

Returns

Type	Description
System.Boolean

Inequality(Vector3D, Vector3)

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1
Vector3	value2

Returns

Type	Description
System.Boolean

Inequality(Vector3D, Vector3D)

Tests vectors for inequality.

Declaration

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

Parameters

Type	Name	Description
Vector3D	value1	Vector to compare.
Vector3D	value2	Vector to compare.

Returns

Type	Description
System.Boolean

Modulus(Vector3D, Double)

Declaration

public static Vector3D operator %(Vector3D value1, double value2)

Parameters

Type	Name	Description
Vector3D	value1
System.Double	value2

Returns

Type	Description
Vector3D

Modulus(Vector3D, Vector3D)

Modulo division of two vectors.

Declaration

public static Vector3D operator %(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1
Vector3D	value2

Returns

Type	Description
Vector3D

Multiply(Double, Vector3D)

Multiplies a vector by a scalar value.

Declaration

public static Vector3D operator *(double scaleFactor, Vector3D value)

Parameters

Type	Name	Description
System.Double	scaleFactor	Scalar value.
Vector3D	value	Source vector.

Returns

Type	Description
Vector3D

Multiply(Vector3D, Double)

Multiplies a vector by a scalar value.

Declaration

public static Vector3D operator *(Vector3D value, double scaleFactor)

Parameters

Type	Name	Description
Vector3D	value	Source vector.
System.Double	scaleFactor	Scalar value.

Returns

Type	Description
Vector3D

Multiply(Vector3D, Vector3)

Multiplies the components of two vectors by each other.

Declaration

public static Vector3D operator *(Vector3D value1, Vector3 value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3	value2	Source vector.

Returns

Type	Description
Vector3D

Multiply(Vector3D, Vector3D)

Multiplies the components of two vectors by each other.

Declaration

public static Vector3D operator *(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

Subtraction(Vector3, Vector3D)

Declaration

public static Vector3D operator -(Vector3 value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3	value1
Vector3D	value2

Returns

Type	Description
Vector3D

Subtraction(Vector3D, Double)

Declaration

public static Vector3D operator -(Vector3D value1, double value2)

Parameters

Type	Name	Description
Vector3D	value1
System.Double	value2

Returns

Type	Description
Vector3D

Subtraction(Vector3D, Vector3)

Declaration

public static Vector3D operator -(Vector3D value1, Vector3 value2)

Parameters

Type	Name	Description
Vector3D	value1
Vector3	value2

Returns

Type	Description
Vector3D

Subtraction(Vector3D, Vector3D)

Subtracts a vector from a vector.

Declaration

public static Vector3D operator -(Vector3D value1, Vector3D value2)

Parameters

Type	Name	Description
Vector3D	value1	Source vector.
Vector3D	value2	Source vector.

Returns

Type	Description
Vector3D

UnaryNegation(Vector3D)

Returns a vector pointing in the opposite direction.

Declaration

public static Vector3D operator -(Vector3D value)

Parameters

Type	Name	Description
Vector3D	value	Source vector.

Returns

Type	Description
Vector3D