makVrl.Matrix3d Struct Reference

Represents a 3x3 matrix containing 3D rotation and scale with double-precision components. More...

Inheritance diagram for makVrl.Matrix3d:

Collaboration diagram for makVrl.Matrix3d:

Public Member Functions
	Matrix3d (Vector3d row0, Vector3d row1, Vector3d row2)
	Constructs a new instance.
	Matrix3d (double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)
	Constructs a new instance.
	Matrix3d (Matrix4d matrix)
	Constructs a new instance.
void	Invert ()
	Converts this instance into its inverse.
void	Transpose ()
	Converts this instance into its transpose.
Matrix3d	Normalized ()
	Returns a normalised copy of this instance.
void	Normalize ()
	Divides each element in the Matrix by the Determinant.
Matrix3d	Inverted ()
	Returns an inverted copy of this instance.
Matrix3d	ClearScale ()
	Returns a copy of this Matrix3 without scale.
Matrix3d	ClearRotation ()
	Returns a copy of this Matrix3 without rotation.
Vector3d	ExtractScale ()
	Returns the scale component of this instance.
Quaterniond	ExtractRotation (bool row_normalise=true)
	Returns the rotation component of this instance.
override string	ToString ()
	Returns a System.String that represents the current Matrix3d.
override int	GetHashCode ()
	Returns the hashcode for this instance.
override bool	Equals (object obj)
	Indicates whether this instance and a specified object are equal.
bool	Equals (Matrix3d other)
	Indicates whether the current matrix is equal to another matrix.

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3f axis, double angle, out Matrix3d result)
	Build a rotation matrix from the specified axis/angle rotation.
static Matrix3d	CreateFromAxisAngle (Vector3f axis, double angle)
	Build a rotation matrix from the specified axis/angle rotation.
static void	CreateFromQuaternion (ref Quaterniond q, out Matrix3d result)
	Build a rotation matrix from the specified quaternion.
static Matrix3d	CreateFromQuaternion (Quaterniond q)
	Build a rotation matrix from the specified quaternion.
static void	CreateRotationX (double angle, out Matrix3d result)
	Builds a rotation matrix for a rotation around the x-axis.
static Matrix3d	CreateRotationX (double angle)
	Builds a rotation matrix for a rotation around the x-axis.
static void	CreateRotationY (double angle, out Matrix3d result)
	Builds a rotation matrix for a rotation around the y-axis.
static Matrix3d	CreateRotationY (double angle)
	Builds a rotation matrix for a rotation around the y-axis.
static void	CreateRotationZ (double angle, out Matrix3d result)
	Builds a rotation matrix for a rotation around the z-axis.
static Matrix3d	CreateRotationZ (double angle)
	Builds a rotation matrix for a rotation around the z-axis.
static Matrix3d	CreateScale (double scale)
	Creates a scale matrix.
static Matrix3d	CreateScale (Vector3d scale)
	Creates a scale matrix.
static Matrix3d	CreateScale (double x, double y, double z)
	Creates a scale matrix.
static void	CreateScale (double scale, out Matrix3d result)
	Creates a scale matrix.
static void	CreateScale (ref Vector3d scale, out Matrix3d result)
	Creates a scale matrix.
static void	CreateScale (double x, double y, double z, out Matrix3d result)
	Creates a scale matrix.
static Matrix3d	Add (Matrix3d left, Matrix3d right)
	Adds two instances.
static void	Add (ref Matrix3d left, ref Matrix3d right, out Matrix3d result)
	Adds two instances.
static Matrix3d	Subtract (Matrix3d left, Matrix3d right)
	Subtracts one instance from another.
static void	Subtract (ref Matrix3d left, ref Matrix3d right, out Matrix3d result)
	Subtracts one instance from another.
static Matrix3d	Mult (Matrix3d left, Matrix3d right)
	Multiplies two instances.
static void	Mult (ref Matrix3d left, ref Matrix3d right, out Matrix3d result)
	Multiplies two instances.
static Matrix3d	Mult (ref Matrix3d left, ref double right, out Matrix3d result)
static void	Invert (ref Matrix3d mat, out Matrix3d result)
	Calculate the inverse of the given matrix
static Matrix3d	Invert (Matrix3d mat)
	Calculate the inverse of the given matrix
static Matrix3d	Transpose (Matrix3d mat)
	Calculate the transpose of the given matrix
static void	Transpose (ref Matrix3d mat, out Matrix3d result)
	Calculate the transpose of the given matrix
static Vector3d	PreMultiplyTransform (Vector3d vec, Matrix3d mat)
static void	PreMultiplyTransform (ref Vector3d vec, ref Matrix3d mat, out Vector3d result)
static Vector3d	PostMultiplyTransform (Vector3d vec, Matrix3d mat)
static void	PostMultiplyTransform (ref Vector3d vec, ref Matrix3d mat, out Vector3d result)
static Vector3f	PostMultiplyTransform (Vector3f vec, Matrix3d mat)
static void	PostMultiplyTransform (ref Vector3f vec, ref Matrix3d mat, out Vector3f result)
static Matrix3d	operator* (Matrix3d left, Matrix3d right)
	Matrix multiplication
static Matrix3d	operator* (Matrix3d left, double right)
static Matrix3d	operator+ (Matrix3d left, Matrix3d right)
	Matrix addition
static Matrix3d	operator- (Matrix3d left, Matrix3d right)
	Matrix subtraction
static bool	operator== (Matrix3d left, Matrix3d right)
	Compares two instances for equality.
static bool	operator!= (Matrix3d left, Matrix3d right)
	Compares two instances for inequality.

Public Attributes
Vector3d	Row0
	First row of the matrix.
Vector3d	Row1
	Second row of the matrix.
Vector3d	Row2
	Third row of the matrix.

Static Public Attributes
static Matrix3d	Identity = new Matrix3d(Vector3d.UnitX, Vector3d.UnitY, Vector3d.UnitZ)
	The identity matrix.
static readonly Matrix3d	Zero

Properties
double	Determinant [get]
	Gets the determinant of this matrix.
Vector3d	Column0 [get]
	Gets the first column of this matrix.
Vector3d	Column1 [get]
	Gets the second column of this matrix.
Vector3d	Column2 [get]
	Gets the third column of this matrix.
double	M11 [get, set]
	Gets or sets the value at row 1, column 1 of this instance.
double	M12 [get, set]
	Gets or sets the value at row 1, column 2 of this instance.
double	M13 [get, set]
	Gets or sets the value at row 1, column 3 of this instance.
double	M21 [get, set]
	Gets or sets the value at row 2, column 1 of this instance.
double	M22 [get, set]
	Gets or sets the value at row 2, column 2 of this instance.
double	M23 [get, set]
	Gets or sets the value at row 2, column 3 of this instance.
double	M31 [get, set]
	Gets or sets the value at row 3, column 1 of this instance.
double	M32 [get, set]
	Gets or sets the value at row 3, column 2 of this instance.
double	M33 [get, set]
	Gets or sets the value at row 3, column 3 of this instance.
Vector3d	Diagonal [get, set]
	Gets or sets the values along the main diagonal of the matrix.
double	Trace [get]
	Gets the trace of the matrix, the sum of the values along the diagonal.
double	this[int rowIndex, int columnIndex] [get, set]
	Gets or sets the value at a specified row and column.

Detailed Description

Represents a 3x3 matrix containing 3D rotation and scale with double-precision components.

Constructor & Destructor Documentation

makVrl.Matrix3d.Matrix3d ( Vector3d  row0, Vector3d  row1, Vector3d  row2  )

inline

Constructs a new instance.

Parameters

row0	Top row of the matrix
row1	Second row of the matrix
row2	Bottom row of the matrix

References makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

Referenced by makVrl.Matrix3d.Transpose().

makVrl.Matrix3d.Matrix3d ( double  m00, double  m01, double  m02, double  m10, double  m11, double  m12, double  m20, double  m21, double  m22  )

inline

Constructs a new instance.

Parameters

m00	First item of the first row of the matrix.
m01	Second item of the first row of the matrix.
m02	Third item of the first row of the matrix.
m10	First item of the second row of the matrix.
m11	Second item of the second row of the matrix.
m12	Third item of the second row of the matrix.
m20	First item of the third row of the matrix.
m21	Second item of the third row of the matrix.
m22	Third item of the third row of the matrix.

References makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

makVrl.Matrix3d.Matrix3d ( Matrix4d  matrix )

inline

Constructs a new instance.

Parameters

matrix

A Matrix4d to take the upper-left 3x3 from.

References makVrl.Matrix3d.Row0, makVrl.Matrix4d.Row0, makVrl.Matrix3d.Row1, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix3d.Row2, and makVrl.Vector4d.Xyz.

Member Function Documentation

static Matrix3d makVrl.Matrix3d.Add ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Adds two instances.

Parameters

left	The left operand of the addition.
right	The right operand of the addition.

Returns

A new instance that is the result of the addition.

Referenced by makVrl.Matrix3d.operator+().

static void makVrl.Matrix3d.Add ( ref Matrix3d  left, ref Matrix3d  right, out Matrix3d  result  )

inlinestatic

Adds two instances.

Parameters

left	The left operand of the addition.
right	The right operand of the addition.
result	A new instance that is the result of the addition.

References makVrl.Matrix3d.Row0.

Matrix3d makVrl.Matrix3d.ClearRotation ( )

inline

Returns a copy of this Matrix3 without rotation.

References makVrl.Vector3d.Length, makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

Matrix3d makVrl.Matrix3d.ClearScale ( )

inline

Returns a copy of this Matrix3 without scale.

References makVrl.Vector3d.Normalized(), makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

static void makVrl.Matrix3d.CreateFromAxisAngle ( Vector3f  axis, double  angle, out Matrix3d  result  )

inlinestatic

Build a rotation matrix from the specified axis/angle rotation.

Parameters

axis	The axis to rotate about.
angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
result	A matrix instance.

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

Referenced by makVrl.Matrix3d.CreateFromAxisAngle(), makVrl.Matrix3d.CreateFromQuaternion(), and makVrl.DeadReckoner.deadReckonOrientation().

static Matrix3d makVrl.Matrix3d.CreateFromAxisAngle ( Vector3f  axis, double  angle  )

inlinestatic

Build a rotation matrix from the specified axis/angle rotation.

Parameters

axis	The axis to rotate about.
angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).

Returns

A matrix instance.

References makVrl.Matrix3d.CreateFromAxisAngle().

static void makVrl.Matrix3d.CreateFromQuaternion ( ref Quaterniond  q, out Matrix3d  result  )

inlinestatic

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.
result	Matrix result.

References makVrl.Matrix3d.CreateFromAxisAngle().

Referenced by makVrl.Matrix3d.CreateFromQuaternion().

static Matrix3d makVrl.Matrix3d.CreateFromQuaternion ( Quaterniond  q )

inlinestatic

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.

Returns

A matrix instance.

References makVrl.Matrix3d.CreateFromQuaternion().

static void makVrl.Matrix3d.CreateRotationX ( double  angle, out Matrix3d  result  )

inlinestatic

Builds a rotation matrix for a rotation around the x-axis.

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3d instance.

References makVrl.Matrix3d.Identity, makVrl.Matrix3d.Row1, and makVrl.Vector3d.Y.

Referenced by makVrl.Matrix3d.CreateRotationX().

static Matrix3d makVrl.Matrix3d.CreateRotationX ( double  angle )

inlinestatic

Builds a rotation matrix for a rotation around the x-axis.

Parameters

angle

The counter-clockwise angle in radians.

Returns

The resulting Matrix3d instance.

References makVrl.Matrix3d.CreateRotationX().

static void makVrl.Matrix3d.CreateRotationY ( double  angle, out Matrix3d  result  )

inlinestatic

Builds a rotation matrix for a rotation around the y-axis.

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3d instance.

References makVrl.Matrix3d.Identity, makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

Referenced by makVrl.Matrix3d.CreateRotationY().

static Matrix3d makVrl.Matrix3d.CreateRotationY ( double  angle )

inlinestatic

Builds a rotation matrix for a rotation around the y-axis.

Parameters

angle

The counter-clockwise angle in radians.

Returns

The resulting Matrix3d instance.

References makVrl.Matrix3d.CreateRotationY().

static void makVrl.Matrix3d.CreateRotationZ ( double  angle, out Matrix3d  result  )

inlinestatic

Builds a rotation matrix for a rotation around the z-axis.

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3d instance.

References makVrl.Matrix3d.Identity, makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

Referenced by makVrl.Matrix3d.CreateRotationZ().

static Matrix3d makVrl.Matrix3d.CreateRotationZ ( double  angle )

inlinestatic

Builds a rotation matrix for a rotation around the z-axis.

Parameters

angle

The counter-clockwise angle in radians.

Returns

The resulting Matrix3d instance.

References makVrl.Matrix3d.CreateRotationZ().

static Matrix3d makVrl.Matrix3d.CreateScale ( double  scale )

inlinestatic

Creates a scale matrix.

Parameters

scale

Single scale factor for the x, y, and z axes.

Returns

A scale matrix.

Referenced by makVrl.Matrix3d.CreateScale().

static Matrix3d makVrl.Matrix3d.CreateScale ( Vector3d  scale )

inlinestatic

Creates a scale matrix.

Parameters

scale

Scale factors for the x, y, and z axes.

Returns

A scale matrix.

References makVrl.Matrix3d.CreateScale().

static Matrix3d makVrl.Matrix3d.CreateScale ( double  x, double  y, double  z  )

inlinestatic

Creates a scale matrix.

Parameters

x	Scale factor for the x axis.
y	Scale factor for the y axis.
z	Scale factor for the z axis.

Returns

A scale matrix.

References makVrl.Matrix3d.CreateScale().

static void makVrl.Matrix3d.CreateScale ( double  scale, out Matrix3d  result  )

inlinestatic

Creates a scale matrix.

Parameters

scale	Single scale factor for the x, y, and z axes.
result	A scale matrix.

References makVrl.Matrix3d.Identity, makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

static void makVrl.Matrix3d.CreateScale ( ref Vector3d  scale, out Matrix3d  result  )

inlinestatic

Creates a scale matrix.

Parameters

scale	Scale factors for the x, y, and z axes.
result	A scale matrix.

References makVrl.Matrix3d.Identity, makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

static void makVrl.Matrix3d.CreateScale ( double  x, double  y, double  z, out Matrix3d  result  )

inlinestatic

Creates a scale matrix.

Parameters

x	Scale factor for the x axis.
y	Scale factor for the y axis.
z	Scale factor for the z axis.
result	A scale matrix.

References makVrl.Matrix3d.Identity, makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

override bool makVrl.Matrix3d.Equals ( object  obj )

inline

Indicates whether this instance and a specified object are equal.

Parameters

obj	The object to compare to.

Returns

True if the instances are equal; false otherwise.

Referenced by makVrl.Matrix3d.operator!=(), and makVrl.Matrix3d.operator==().

bool makVrl.Matrix3d.Equals ( Matrix3d  other )

inline

Indicates whether the current matrix is equal to another matrix.

Parameters

other

A matrix to compare with this matrix.

Returns

true if the current matrix is equal to the matrix parameter; otherwise, false.

References makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

Quaterniond makVrl.Matrix3d.ExtractRotation ( bool  row_normalise = true )

inline

Returns the rotation component of this instance.

Quite slow.

Parameters

row_normalise

Whether the method should row-normalise (i.e. remove scale from) the Matrix. Pass false if you know it's already normalised.

References makVrl.Quaterniond.Normalize(), makVrl.Vector3d.Normalized(), makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, makVrl.Matrix3d.Row2, makVrl.Quaterniond.W, makVrl.Quaterniond.X, makVrl.Quaterniond.Y, and makVrl.Quaterniond.Z.

Vector3d makVrl.Matrix3d.ExtractScale ( )

inline

Returns the scale component of this instance.

References makVrl.Vector3d.Length, makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

override int makVrl.Matrix3d.GetHashCode ( )

inline

Returns the hashcode for this instance.

Returns

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

References makVrl.Vector3d.GetHashCode(), makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

void makVrl.Matrix3d.Invert ( )

inline

Converts this instance into its inverse.

References makVrl.Matrix3d.Invert().

Referenced by makVrl.Matrix3d.Invert(), and makVrl.Matrix3d.Inverted().

static void makVrl.Matrix3d.Invert ( ref Matrix3d  mat, out Matrix3d  result  )

inlinestatic

Calculate the inverse of the given matrix

Parameters

mat	The matrix to invert
result	The inverse of the given matrix if it has one, or the input if it is singular

Exceptions

InvalidOperationException

Thrown if the Matrix3d is singular.

static Matrix3d makVrl.Matrix3d.Invert ( Matrix3d  mat )

inlinestatic

Calculate the inverse of the given matrix

Parameters

mat	The matrix to invert

Returns

The inverse of the given matrix if it has one, or the input if it is singular

Exceptions

InvalidOperationException

Thrown if the Matrix4 is singular.

References makVrl.Matrix3d.Invert().

Matrix3d makVrl.Matrix3d.Inverted ( )

inline

Returns an inverted copy of this instance.

References makVrl.Matrix3d.Determinant, and makVrl.Matrix3d.Invert().

static Matrix3d makVrl.Matrix3d.Mult ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Multiplies two instances.

Parameters

left	The left operand of the multiplication.
right	The right operand of the multiplication.

Returns

A new instance that is the result of the multiplication

Referenced by makVrl.Matrix3d.operator*().

static void makVrl.Matrix3d.Mult ( ref Matrix3d  left, ref Matrix3d  right, out Matrix3d  result  )

inlinestatic

Multiplies two instances.

Parameters

left	The left operand of the multiplication.
right	The right operand of the multiplication.
result	A new instance that is the result of the multiplication

References makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

static Matrix3d makVrl.Matrix3d.Mult ( ref Matrix3d  left, ref double  right, out Matrix3d  result  )

inlinestatic

References makVrl.Matrix3d.Row0, and makVrl.Vector3d.X.

void makVrl.Matrix3d.Normalize ( )

inline

Divides each element in the Matrix by the Determinant.

References makVrl.Matrix3d.Determinant, makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

Referenced by makVrl.Matrix3d.Normalized().

Matrix3d makVrl.Matrix3d.Normalized ( )

inline

Returns a normalised copy of this instance.

References makVrl.Matrix3d.Normalize().

static bool makVrl.Matrix3d.operator!= ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Compares two instances for inequality.

Parameters

left	The first instance.
right	The second instance.

Returns

True, if left does not equal right; false otherwise.

References makVrl.Matrix3d.Equals().

static Matrix3d makVrl.Matrix3d.operator* ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3d which holds the result of the multiplication

References makVrl.Matrix3d.Mult().

static Matrix3d makVrl.Matrix3d.operator* ( Matrix3d  left, double  right  )

inlinestatic

References makVrl.Matrix3d.Mult().

static Matrix3d makVrl.Matrix3d.operator+ ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Matrix addition

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3d which holds the result of the addition

References makVrl.Matrix3d.Add().

static Matrix3d makVrl.Matrix3d.operator- ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Matrix subtraction

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3d which holds the result of the subtraction

References makVrl.Matrix3d.Subtract().

static bool makVrl.Matrix3d.operator== ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Compares two instances for equality.

Parameters

left	The first instance.
right	The second instance.

Returns

True, if left equals right; false otherwise.

References makVrl.Matrix3d.Equals().

static Vector3d makVrl.Matrix3d.PostMultiplyTransform ( Vector3d  vec, Matrix3d  mat  )

inlinestatic

Referenced by makVrl.CoordinateTransform.coordTrans(), makVrl.Matrix3d.PostMultiplyTransform(), and makVrl.CoordinateTransform.vecTrans().

static void makVrl.Matrix3d.PostMultiplyTransform ( ref Vector3d  vec, ref Matrix3d  mat, out Vector3d  result  )

inlinestatic

static Vector3f makVrl.Matrix3d.PostMultiplyTransform ( Vector3f  vec, Matrix3d  mat  )

inlinestatic

References makVrl.Matrix3d.PostMultiplyTransform().

static void makVrl.Matrix3d.PostMultiplyTransform ( ref Vector3f  vec, ref Matrix3d  mat, out Vector3f  result  )

inlinestatic

static Vector3d makVrl.Matrix3d.PreMultiplyTransform ( Vector3d  vec, Matrix3d  mat  )

inlinestatic

static void makVrl.Matrix3d.PreMultiplyTransform ( ref Vector3d  vec, ref Matrix3d  mat, out Vector3d  result  )

inlinestatic

static Matrix3d makVrl.Matrix3d.Subtract ( Matrix3d  left, Matrix3d  right  )

inlinestatic

Subtracts one instance from another.

Parameters

left	The left operand of the subraction.
right	The right operand of the subraction.

Returns

A new instance that is the result of the subraction.

Referenced by makVrl.Matrix3d.operator-().

static void makVrl.Matrix3d.Subtract ( ref Matrix3d  left, ref Matrix3d  right, out Matrix3d  result  )

inlinestatic

Subtracts one instance from another.

Parameters

left	The left operand of the subraction.
right	The right operand of the subraction.
result	A new instance that is the result of the subraction.

References makVrl.Matrix3d.Row0.

override string makVrl.Matrix3d.ToString ( )

inline

Returns a System.String that represents the current Matrix3d.

Returns

The string representation of the matrix.

References makVrl.Matrix3d.Row0, makVrl.Matrix3d.Row1, and makVrl.Matrix3d.Row2.

void makVrl.Matrix3d.Transpose ( )

inline

Converts this instance into its transpose.

References makVrl.Matrix3d.Transpose().

Referenced by makVrl.Smoother.initSmoothOriParams(), makVrl.CoordinateTransform.inverse(), makVrl.TopographicCoord.latlon_to_geocToTopo(), and makVrl.Matrix3d.Transpose().

static Matrix3d makVrl.Matrix3d.Transpose ( Matrix3d  mat )

inlinestatic

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose

Returns

The transpose of the given matrix

References makVrl.Matrix3d.Column0, makVrl.Matrix3d.Column1, makVrl.Matrix3d.Column2, and makVrl.Matrix3d.Matrix3d().

static void makVrl.Matrix3d.Transpose ( ref Matrix3d  mat, out Matrix3d  result  )

inlinestatic

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Matrix3d makVrl.Matrix3d.Identity = new Matrix3d(Vector3d.UnitX, Vector3d.UnitY, Vector3d.UnitZ)

static

The identity matrix.

Referenced by makVrl.Matrix3d.CreateRotationX(), makVrl.Matrix3d.CreateRotationY(), makVrl.Matrix3d.CreateRotationZ(), makVrl.Matrix3d.CreateScale(), and makVrl.TaitBryan.eulerToEuler().

Vector3d makVrl.Matrix3d.Row0

First row of the matrix.

Referenced by makVrl.Matrix3d.Add(), makVrl.Matrix3d.ClearRotation(), makVrl.Matrix3d.ClearScale(), makVrl.Matrix3d.CreateRotationY(), makVrl.Matrix3d.CreateRotationZ(), makVrl.Matrix3d.CreateScale(), makVrl.Matrix3d.Equals(), makVrl.Matrix3d.ExtractRotation(), makVrl.Matrix3d.ExtractScale(), makVrl.Matrix3d.GetHashCode(), makVrl.Matrix3d.Matrix3d(), makVrl.Matrix3d.Mult(), makVrl.Matrix3d.Normalize(), makVrl.Matrix3d.Subtract(), and makVrl.Matrix3d.ToString().

Vector3d makVrl.Matrix3d.Row1

Second row of the matrix.

Referenced by makVrl.Matrix3d.ClearRotation(), makVrl.Matrix3d.ClearScale(), makVrl.Matrix3d.CreateRotationX(), makVrl.Matrix3d.Equals(), makVrl.Matrix3d.ExtractRotation(), makVrl.Matrix3d.ExtractScale(), makVrl.Matrix3d.GetHashCode(), makVrl.Matrix3d.Matrix3d(), makVrl.Matrix3d.Normalize(), and makVrl.Matrix3d.ToString().

Vector3d makVrl.Matrix3d.Row2

Third row of the matrix.

Referenced by makVrl.Matrix3d.ClearRotation(), makVrl.Matrix3d.ClearScale(), makVrl.Matrix3d.Equals(), makVrl.Matrix3d.ExtractRotation(), makVrl.Matrix3d.ExtractScale(), makVrl.Matrix3d.GetHashCode(), makVrl.Matrix3d.Matrix3d(), makVrl.Matrix3d.Normalize(), and makVrl.Matrix3d.ToString().

readonly Matrix3d makVrl.Matrix3d.Zero

static

Initial value:

 
            new Matrix3d(Vector3d.Zero, Vector3d.Zero, Vector3d.Zero)

Referenced by makVrl.Smoother.resetOriSmoother().

Property Documentation

Vector3d makVrl.Matrix3d.Column0

get

Gets the first column of this matrix.

Referenced by makVrl.Matrix3d.Transpose().

Vector3d makVrl.Matrix3d.Column1

get

Gets the second column of this matrix.

Referenced by makVrl.Matrix3d.Transpose().

Vector3d makVrl.Matrix3d.Column2

get

Gets the third column of this matrix.

Referenced by makVrl.Matrix3d.Transpose().

double makVrl.Matrix3d.Determinant

get

Gets the determinant of this matrix.

Referenced by makVrl.Matrix3d.Inverted(), and makVrl.Matrix3d.Normalize().

Vector3d makVrl.Matrix3d.Diagonal

getset

Gets or sets the values along the main diagonal of the matrix.

double makVrl.Matrix3d.M11

getset

Gets or sets the value at row 1, column 1 of this instance.

double makVrl.Matrix3d.M12

getset

Gets or sets the value at row 1, column 2 of this instance.

double makVrl.Matrix3d.M13

getset

Gets or sets the value at row 1, column 3 of this instance.

double makVrl.Matrix3d.M21

getset

Gets or sets the value at row 2, column 1 of this instance.

double makVrl.Matrix3d.M22

getset

Gets or sets the value at row 2, column 2 of this instance.

double makVrl.Matrix3d.M23

getset

Gets or sets the value at row 2, column 3 of this instance.

double makVrl.Matrix3d.M31

getset

Gets or sets the value at row 3, column 1 of this instance.

double makVrl.Matrix3d.M32

getset

Gets or sets the value at row 3, column 2 of this instance.

double makVrl.Matrix3d.M33

getset

Gets or sets the value at row 3, column 3 of this instance.

double makVrl.Matrix3d.this[int rowIndex, int columnIndex]

getset

Gets or sets the value at a specified row and column.

double makVrl.Matrix3d.Trace

get

Gets the trace of the matrix, the sum of the values along the diagonal.

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

• Matrix3d.cs