VRageMath.Vector3D

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Vector3D Struct

Namespace: VRageMath
Assembly: VRage.Math.dll

Summary

Defines a vector with three components.

Fields

Member	Description
double X	Gets or sets the x-component of the vector.
double Y	Gets or sets the y-component of the vector.
double Z	Gets or sets the z-component of the vector.
static Vector3D Zero
static Vector3D One
static Vector3D Half
static Vector3D PositiveInfinity
static Vector3D NegativeInfinity
static Vector3D UnitX
static Vector3D UnitY
static Vector3D UnitZ
static Vector3D Up
static Vector3D Down
static Vector3D Right
static Vector3D Left
static Vector3D Forward
static Vector3D Backward
static Vector3D MaxValue
static Vector3D MinValue

Properties

Member	Description
double Sum
double Volume

Methods

Member	Description
static void TransformNormal(ref Vector3D normal, ref MatrixI matrix, ref Vector3D result)
static Vector3D TransformNormal(Vector3D normal, MyBlockOrientation orientation)
static void TransformNormal(ref Vector3D normal, MyBlockOrientation orientation, ref 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.
static void Transform(ref Vector3D value, ref Quaternion rotation, ref Vector3D result)	Transforms a Vector3 by a specified Quaternion rotation.
static void Rotate(ref Vector3D vector, ref MatrixD rotationMatrix, ref 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.
static void Transform(Vector3D[] sourceArray, ref MatrixD matrix, *Vector3D destinationArray)
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.
static void TransformNormal(Vector3D[] sourceArray, ref Matrix matrix, Vector3D[] destinationArray)	Transforms an array of 3D vector normals by a specified Matrix.
static void TransformNormal(Vector3D[] sourceArray, ref Matrix matrix, *Vector3D destinationArray)
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.
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.
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.
static Vector3D Negate(Vector3D value)	Returns a vector pointing in the opposite direction.
static void Negate(ref Vector3D value, ref Vector3D result)	Returns a vector pointing in the opposite direction.
static Vector3D Add(Vector3D value1, Vector3D value2)	Adds two vectors.
static void Add(ref Vector3D value1, ref Vector3D value2, ref Vector3D result)	Adds two vectors.
static Vector3D Subtract(Vector3D value1, Vector3D value2)	Subtracts a vector from a vector.
static void Subtract(ref Vector3D value1, ref Vector3D value2, ref Vector3D result)	Subtracts a vector from a vector.
static Vector3D Multiply(Vector3D value1, Vector3D value2)	Multiplies the components of two vectors by each other.
static void Multiply(ref Vector3D value1, ref Vector3D value2, ref Vector3D result)	Multiplies the components of two vectors by each other.
static Vector3D Multiply(Vector3D value1, double scaleFactor)	Multiplies a vector by a scalar value.
static void Multiply(ref Vector3D value1, double scaleFactor, ref Vector3D result)	Multiplies a vector by a scalar value.
static Vector3D Divide(Vector3D value1, Vector3D value2)	Divides the components of a vector by the components of another vector.
static void Divide(ref Vector3D value1, ref Vector3D value2, ref Vector3D result)	Divides the components of a vector by the components of another vector.
static Vector3D Divide(Vector3D value1, double value2)	Divides a vector by a scalar value.
static void Divide(ref Vector3D value1, double value2, ref Vector3D result)	Divides a vector by a scalar value.
static Vector3D CalculatePerpendicularVector(Vector3D v)
void CalculatePerpendicularVector(ref Vector3D result)
static void GetAzimuthAndElevation(Vector3D v, ref double azimuth, ref double elevation)
static void CreateFromAzimuthAndElevation(double azimuth, double elevation, ref Vector3D direction)
long VolumeInt(double multiplier)
bool IsInsideInclusive(ref Vector3D min, ref Vector3D max)
static Vector3D SwapYZCoordinates(Vector3D v)
double GetDim(int i)
void SetDim(int i, double value)
static Vector3I Round(Vector3D vect3d)
static Vector3I Floor(Vector3D vect3d)
static void Fract(ref Vector3D o, ref Vector3D r)
static Vector3D Round(Vector3D v, int numDecimals)
static void Abs(ref Vector3D vector3D, ref Vector3D abs)
static Vector3D ProjectOnPlane(ref Vector3D vec, ref Vector3D planeNormal)	Projects given vector on plane specified by it's normal.
static Vector3D ProjectOnVector(ref Vector3D vec, ref Vector3D guideVector)	Projects vector on another vector resulting in new vector in guided vector's direction with different length.
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.
void Interpolate3(Vector3D v0, Vector3D v1, double rt)
bool IsValid()
void AssertIsValid()
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)
string ToString()	Retrieves a string representation of the current object.
static bool TryParse(string str, ref Vector3D retval)
string ToString(string format)
bool Equals(Vector3D other)	Determines whether the specified Object is equal to the Vector3.
bool Equals(Vector3D other, double epsilon)
bool Equals(Object obj)	Returns a value that indicates whether the current instance is equal to a specified object.
int GetHashCode()
long GetHash()	Gets the hash code of the vector object.
double Length()	Calculates the length of the vector.
double LengthSquared()	Calculates the length of the vector squared.
static double Distance(Vector3D value1, Vector3D value2)	Calculates the distance between two vectors.
static double Distance(Vector3D value1, Vector3 value2)
static double Distance(Vector3 value1, Vector3D value2)
static void Distance(ref Vector3D value1, ref Vector3D value2, ref double result)	Calculates the distance between two vectors.
static double DistanceSquared(Vector3D value1, Vector3D value2)	Calculates the distance between two vectors squared.
static void DistanceSquared(ref Vector3D value1, ref Vector3D value2, ref double result)	Calculates the distance between two vectors squared.
static double RectangularDistance(Vector3D value1, Vector3D value2)	Calculates rectangular distance (a.k.a. Manhattan distance or Chessboard distace) between two vectors.
static double RectangularDistance(ref Vector3D value1, ref Vector3D value2)	Calculates rectangular distance (a.k.a. Manhattan distance or Chessboard distace) between two vectors.
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.
static double Dot(Vector3D vector1, Vector3 vector2)
static void Dot(ref Vector3D vector1, ref Vector3D vector2, ref 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.
static void Dot(ref Vector3D vector1, ref Vector3 vector2, ref double result)
static void Dot(ref Vector3 vector1, ref Vector3D vector2, ref double result)
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.
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.
static void Normalize(ref Vector3D value, ref 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.
static Vector3D Cross(Vector3D vector1, Vector3D vector2)	Calculates the cross product of two vectors.
static void Cross(ref Vector3D vector1, ref Vector3D vector2, ref Vector3D result)	Calculates the cross product of two vectors.
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.
static void Reflect(ref Vector3D vector, ref Vector3D normal, ref Vector3D result)	Returns the reflection of a vector off a surface that has the specified normal. Reference page contains code sample.
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
static void Reject(ref Vector3D vector, ref Vector3D direction, ref Vector3D result)	Returns the rejection of vector from direction, i.e. projection of vector onto the plane defined by origin and direction
double Min()	Returns the component of the vector that is smallest of all the three components.
double AbsMin()	Returns the component of the vector, whose absolute value is smallest of all the three components.
double Max()	Returns the component of the vector that is largest of all the three components.
double AbsMax()	Returns the component of the vector, whose absolute value is largest of all the three components.
int AbsMaxComponent()
static Vector3D Min(Vector3D value1, Vector3D value2)	Returns a vector that contains the lowest value from each matching pair of components.
static void Min(ref Vector3D value1, ref Vector3D value2, ref Vector3D result)	Returns a vector that contains the lowest value from each matching pair of components.
static Vector3D Max(Vector3D value1, Vector3D value2)	Returns a vector that contains the highest value from each matching pair of components.
static void Max(ref Vector3D value1, ref Vector3D value2, ref Vector3D result)	Returns a vector that contains the highest value from each matching pair of components.
static void MinMax(ref Vector3D min, ref Vector3D max)	Separates minimal and maximal values of any two input vectors
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.
static void DominantAxisProjection(ref Vector3D value1, ref 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.
static Vector3D Clamp(Vector3D value1, Vector3D min, Vector3D max)	Restricts a value to be within a specified range.
static void Clamp(ref Vector3D value1, ref Vector3D min, ref Vector3D max, ref Vector3D result)	Restricts a value to be within a specified range.
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.
static void Lerp(ref Vector3D value1, ref Vector3D value2, double amount, ref Vector3D result)	Performs a linear interpolation between two vectors.
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.
static void Barycentric(ref Vector3D value1, ref Vector3D value2, ref Vector3D value3, double amount1, double amount2, ref Vector3D result)	Returns a Vector3 containing the 3D Cartesian coordinates of a point specified in barycentric (areal) coordinates relative to a 3D triangle.
static void Barycentric(Vector3D p, Vector3D a, Vector3D b, Vector3D c, ref double u, ref double v, ref 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
static Vector3D SmoothStep(Vector3D value1, Vector3D value2, double amount)	Interpolates between two values using a cubic equation.
static void SmoothStep(ref Vector3D value1, ref Vector3D value2, double amount, ref Vector3D result)	Interpolates between two values using a cubic equation.
static Vector3D CatmullRom(Vector3D value1, Vector3D value2, Vector3D value3, Vector3D value4, double amount)	Performs a Catmull-Rom interpolation using the specified positions.
static void CatmullRom(ref Vector3D value1, ref Vector3D value2, ref Vector3D value3, ref Vector3D value4, double amount, ref Vector3D result)	Performs a Catmull-Rom interpolation using the specified positions.
static Vector3D Hermite(Vector3D value1, Vector3D tangent1, Vector3D value2, Vector3D tangent2, double amount)	Performs a Hermite spline interpolation.
static void Hermite(ref Vector3D value1, ref Vector3D tangent1, ref Vector3D value2, ref Vector3D tangent2, double amount, ref Vector3D result)	Performs a Hermite spline interpolation.
static Vector3D Transform(Vector3D position, MatrixD matrix)	Transforms a 3D vector by the given matrix.
static Vector3D Transform(Vector3 position, MatrixD matrix)
static Vector3D Transform(Vector3D position, Matrix matrix)	Transforms a 3D vector by the given matrix.
static Vector3D Transform(Vector3D position, ref MatrixD matrix)
static void Transform(ref Vector3D position, ref MatrixD matrix, ref Vector3D result)	Transforms a Vector3 by the given Matrix.
static void Transform(ref Vector3 position, ref MatrixD matrix, ref Vector3D result)
static void TransformNoProjection(ref Vector3D vector, ref MatrixD matrix, ref Vector3D result)
static void RotateAndScale(ref Vector3D vector, ref MatrixD matrix, ref Vector3D result)
static void Transform(ref Vector3D position, ref MatrixI matrix, ref Vector3D result)
static Vector3D TransformNormal(Vector3D normal, Matrix matrix)	Transforms a 3D vector normal by a matrix.
static Vector3D TransformNormal(Vector3 normal, MatrixD matrix)	Transforms a 3D vector normal by a matrix.
static Vector3D TransformNormal(Vector3D normal, MatrixD matrix)	Transforms a 3D vector normal by a matrix.
static void TransformNormal(ref Vector3D normal, ref MatrixD matrix, ref Vector3D result)	Transforms a vector normal by a matrix.
static void TransformNormal(ref Vector3 normal, ref MatrixD matrix, ref Vector3D result)