makVrl.Matrix4d Struct Reference

Represents a 4x4 matrix containing 3D rotation, scale, transform, and projection with double-precision components. More...

Inheritance diagram for makVrl.Matrix4d:

Collaboration diagram for makVrl.Matrix4d:

Public Member Functions
	Matrix4d (Vector4d row0, Vector4d row1, Vector4d row2, Vector4d row3)
	Constructs a new instance.
	Matrix4d (double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)
	Constructs a new instance.
void	Invert ()
	Converts this instance into its inverse.
void	Transpose ()
	Converts this instance into its transpose.
Matrix4d	Normalized ()
	Returns a normalised copy of this instance.
void	Normalize ()
	Divides each element in the Matrix by the Determinant.
Matrix4d	Inverted ()
	Returns an inverted copy of this instance.
Matrix4d	ClearTranslation ()
	Returns a copy of this Matrix4d without translation.
Matrix4d	ClearScale ()
	Returns a copy of this Matrix4d without scale.
Matrix4d	ClearRotation ()
	Returns a copy of this Matrix4d without rotation.
Matrix4d	ClearProjection ()
	Returns a copy of this Matrix4d without projection.
Vector3d	ExtractTranslation ()
	Returns the translation component of this instance.
Vector3d	ExtractScale ()
	Returns the scale component of this instance.
Quaterniond	ExtractRotation (bool row_normalise=true)
	Returns the rotation component of this instance.
Vector4d	ExtractProjection ()
	Returns the projection component of this instance.
override string	ToString ()
	Returns a System.String that represents the current Matrix44.
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 (Matrix4d other)
	Indicates whether the current matrix is equal to another matrix.

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3d axis, double angle, out Matrix4d result)
	Build a rotation matrix from the specified axis/angle rotation.
static Matrix4d	CreateFromAxisAngle (Vector3d axis, double angle)
	Build a rotation matrix from the specified axis/angle rotation.
static void	CreateRotationX (double angle, out Matrix4d result)
	Builds a rotation matrix for a rotation around the x-axis.
static Matrix4d	CreateRotationX (double angle)
	Builds a rotation matrix for a rotation around the x-axis.
static void	CreateRotationY (double angle, out Matrix4d result)
	Builds a rotation matrix for a rotation around the y-axis.
static Matrix4d	CreateRotationY (double angle)
	Builds a rotation matrix for a rotation around the y-axis.
static void	CreateRotationZ (double angle, out Matrix4d result)
	Builds a rotation matrix for a rotation around the z-axis.
static Matrix4d	CreateRotationZ (double angle)
	Builds a rotation matrix for a rotation around the z-axis.
static void	CreateTranslation (double x, double y, double z, out Matrix4d result)
	Creates a translation matrix.
static void	CreateTranslation (ref Vector3d vector, out Matrix4d result)
	Creates a translation matrix.
static Matrix4d	CreateTranslation (double x, double y, double z)
	Creates a translation matrix.
static Matrix4d	CreateTranslation (Vector3d vector)
	Creates a translation matrix.
static void	CreateOrthographic (double width, double height, double zNear, double zFar, out Matrix4d result)
	Creates an orthographic projection matrix.
static Matrix4d	CreateOrthographic (double width, double height, double zNear, double zFar)
	Creates an orthographic projection matrix.
static void	CreateOrthographicOffCenter (double left, double right, double bottom, double top, double zNear, double zFar, out Matrix4d result)
	Creates an orthographic projection matrix.
static Matrix4d	CreateOrthographicOffCenter (double left, double right, double bottom, double top, double zNear, double zFar)
	Creates an orthographic projection matrix.
static void	CreatePerspectiveFieldOfView (double fovy, double aspect, double zNear, double zFar, out Matrix4d result)
	Creates a perspective projection matrix.
static Matrix4d	CreatePerspectiveFieldOfView (double fovy, double aspect, double zNear, double zFar)
	Creates a perspective projection matrix.
static void	CreatePerspectiveOffCenter (double left, double right, double bottom, double top, double zNear, double zFar, out Matrix4d result)
	Creates an perspective projection matrix.
static Matrix4d	CreatePerspectiveOffCenter (double left, double right, double bottom, double top, double zNear, double zFar)
	Creates an perspective projection matrix.
static void	CreateFromQuaternion (ref Quaternion q, ref Matrix4 m)
	Build a rotation matrix from the specified quaternion.
static Matrix4	CreateFromQuaternion (ref Quaternion q)
	Build a rotation matrix from the specified quaternion.
static Matrix4d	Translation (Vector3d trans)
	Build a translation matrix with the given translation
static Matrix4d	Translation (double x, double y, double z)
	Build a translation matrix with the given translation
static Matrix4d	Scale (double scale)
	Build a scaling matrix
static Matrix4d	Scale (Vector3d scale)
	Build a scaling matrix
static Matrix4d	Scale (double x, double y, double z)
	Build a scaling matrix
static Matrix4d	RotateX (double angle)
	Build a rotation matrix that rotates about the x-axis
static Matrix4d	RotateY (double angle)
	Build a rotation matrix that rotates about the y-axis
static Matrix4d	RotateZ (double angle)
	Build a rotation matrix that rotates about the z-axis
static Matrix4d	Rotate (Vector3d axis, double angle)
	Build a rotation matrix to rotate about the given axis
static Matrix4d	Rotate (Quaterniond q)
	Build a rotation matrix from a quaternion
static Matrix4d	LookAt (Vector3d eye, Vector3d target, Vector3d up)
	Build a world space to camera space matrix
static Matrix4d	LookAt (double eyeX, double eyeY, double eyeZ, double targetX, double targetY, double targetZ, double upX, double upY, double upZ)
	Build a world space to camera space matrix
static Matrix4d	Frustum (double left, double right, double bottom, double top, double near, double far)
	Build a projection matrix
static Matrix4d	Perspective (double fovy, double aspect, double near, double far)
	Build a projection matrix
static Matrix4d	Add (Matrix4d left, Matrix4d right)
	Adds two instances.
static void	Add (ref Matrix4d left, ref Matrix4d right, out Matrix4d result)
	Adds two instances.
static Matrix4d	Subtract (Matrix4d left, Matrix4d right)
	Subtracts one instance from another.
static void	Subtract (ref Matrix4d left, ref Matrix4d right, out Matrix4d result)
	Subtracts one instance from another.
static Matrix4d	Mult (Matrix4d left, Matrix4d right)
	Multiplies two instances.
static void	Mult (ref Matrix4d left, ref Matrix4d right, out Matrix4d result)
	Multiplies two instances.
static Matrix4d	Mult (Matrix4d left, double right)
	Multiplies an instance by a scalar.
static void	Mult (ref Matrix4d left, double right, out Matrix4d result)
	Multiplies an instance by a scalar.
static Matrix4d	Invert (Matrix4d mat)
	Calculate the inverse of the given matrix
static Matrix4d	Transpose (Matrix4d mat)
	Calculate the transpose of the given matrix
static void	Transpose (ref Matrix4d mat, out Matrix4d result)
	Calculate the transpose of the given matrix
static Matrix4d	operator* (Matrix4d left, Matrix4d right)
	Matrix multiplication
static Matrix4d	operator* (Matrix4d left, float right)
	Matrix-scalar multiplication
static Matrix4d	operator+ (Matrix4d left, Matrix4d right)
	Matrix addition
static Matrix4d	operator- (Matrix4d left, Matrix4d right)
	Matrix subtraction
static bool	operator== (Matrix4d left, Matrix4d right)
	Compares two instances for equality.
static bool	operator!= (Matrix4d left, Matrix4d right)
	Compares two instances for inequality.

Public Attributes
Vector4d	Row0
	Top row of the matrix
Vector4d	Row1
	2nd row of the matrix
Vector4d	Row2
	3rd row of the matrix
Vector4d	Row3
	Bottom row of the matrix

Static Public Attributes
static Matrix4d	Identity = new Matrix4d(Vector4d .UnitX, Vector4d .UnitY, Vector4d .UnitZ, Vector4d .UnitW)
	The identity matrix

Properties
double	Determinant [get]
	The determinant of this matrix
Vector4d	Column0 [get, set]
	The first column of this matrix
Vector4d	Column1 [get, set]
	The second column of this matrix
Vector4d	Column2 [get, set]
	The third column of this matrix
Vector4d	Column3 [get, set]
	The fourth 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	M14 [get, set]
	Gets or sets the value at row 1, column 4 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	M24 [get, set]
	Gets or sets the value at row 2, column 4 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.
double	M34 [get, set]
	Gets or sets the value at row 3, column 4 of this instance.
double	M41 [get, set]
	Gets or sets the value at row 4, column 1 of this instance.
double	M42 [get, set]
	Gets or sets the value at row 4, column 2 of this instance.
double	M43 [get, set]
	Gets or sets the value at row 4, column 3 of this instance.
double	M44 [get, set]
	Gets or sets the value at row 4, column 4 of this instance.
Vector4d	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 4x4 matrix containing 3D rotation, scale, transform, and projection with double-precision components.

See Also

Matrix4

Constructor & Destructor Documentation

makVrl.Matrix4d.Matrix4d ( Vector4d  row0, Vector4d  row1, Vector4d  row2, Vector4d  row3  )

inline

Constructs a new instance.

Parameters

row0	Top row of the matrix
row1	Second row of the matrix
row2	Third row of the matrix
row3	Bottom row of the matrix

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Matrix4d.Row3.

Referenced by makVrl.Matrix4d.CreateFromAxisAngle(), makVrl.Matrix4d.CreateOrthographicOffCenter(), makVrl.Matrix4d.CreatePerspectiveOffCenter(), makVrl.Matrix4d.Frustum(), makVrl.Matrix4d.LookAt(), and makVrl.Matrix4d.Transpose().

makVrl.Matrix4d.Matrix4d ( double  m00, double  m01, double  m02, double  m03, double  m10, double  m11, double  m12, double  m13, double  m20, double  m21, double  m22, double  m23, double  m30, double  m31, double  m32, double  m33  )

inline

Constructs a new instance.

Parameters

m00	First item of the first row.
m01	Second item of the first row.
m02	Third item of the first row.
m03	Fourth item of the first row.
m10	First item of the second row.
m11	Second item of the second row.
m12	Third item of the second row.
m13	Fourth item of the second row.
m20	First item of the third row.
m21	Second item of the third row.
m22	Third item of the third row.
m23	First item of the third row.
m30	Fourth item of the fourth row.
m31	Second item of the fourth row.
m32	Third item of the fourth row.
m33	Fourth item of the fourth row.

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Matrix4d.Row3.

Member Function Documentation

static Matrix4d makVrl.Matrix4d.Add ( Matrix4d  left, Matrix4d  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.Matrix4d.operator+().

static void makVrl.Matrix4d.Add ( ref Matrix4d  left, ref Matrix4d  right, out Matrix4d  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.Matrix4d.Row0.

Matrix4d makVrl.Matrix4d.ClearProjection ( )

inline

Returns a copy of this Matrix4d without projection.

References makVrl.Matrix4d.Column3, and makVrl.Vector4d.Zero.

Matrix4d makVrl.Matrix4d.ClearRotation ( )

inline

Returns a copy of this Matrix4d without rotation.

References makVrl.Vector3d.Length, makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Vector4d.Xyz.

Matrix4d makVrl.Matrix4d.ClearScale ( )

inline

Returns a copy of this Matrix4d without scale.

References makVrl.Vector3d.Normalized(), makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Vector4d.Xyz.

Matrix4d makVrl.Matrix4d.ClearTranslation ( )

inline

Returns a copy of this Matrix4d without translation.

References makVrl.Matrix4d.Row3, makVrl.Vector4d.Xyz, and makVrl.Vector3d.Zero.

static void makVrl.Matrix4d.CreateFromAxisAngle ( Vector3d  axis, double  angle, out Matrix4d  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.Matrix4d.Matrix4d(), makVrl.Vector3d.Normalize(), makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

Referenced by makVrl.Matrix4d.CreateFromAxisAngle().

static Matrix4d makVrl.Matrix4d.CreateFromAxisAngle ( Vector3d  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.Matrix4d.CreateFromAxisAngle().

static void makVrl.Matrix4d.CreateFromQuaternion ( ref Quaternion  q, ref Matrix4  m  )

inlinestatic

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.
m	Matrix result.

References makVrl.Matrix4.Identity, and makVrl.Matrix4.M11.

static Matrix4 makVrl.Matrix4d.CreateFromQuaternion ( ref Quaternion  q )

inlinestatic

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.

Returns

A matrix instance.

References makVrl.Matrix4.Identity, makVrl.Matrix4.M11, makVrl.Matrix4.M12, makVrl.Matrix4.M13, makVrl.Matrix4.M21, makVrl.Matrix4.M22, makVrl.Matrix4.M23, makVrl.Matrix4.M31, makVrl.Matrix4.M32, and makVrl.Matrix4.M33.

static void makVrl.Matrix4d.CreateOrthographic ( double  width, double  height, double  zNear, double  zFar, out Matrix4d  result  )

inlinestatic

Creates an orthographic projection matrix.

Parameters

width	The width of the projection volume.
height	The height of the projection volume.
zNear	The near edge of the projection volume.
zFar	The far edge of the projection volume.
result	The resulting Matrix4d instance.

References makVrl.Matrix4d.CreateOrthographicOffCenter().

static Matrix4d makVrl.Matrix4d.CreateOrthographic ( double  width, double  height, double  zNear, double  zFar  )

inlinestatic

Creates an orthographic projection matrix.

Parameters

width	The width of the projection volume.
height	The height of the projection volume.
zNear	The near edge of the projection volume.
zFar	The far edge of the projection volume.

<rereturns>The resulting Matrix4d instance.</rereturns>

References makVrl.Matrix4d.CreateOrthographicOffCenter().

static void makVrl.Matrix4d.CreateOrthographicOffCenter ( double  left, double  right, double  bottom, double  top, double  zNear, double  zFar, out Matrix4d  result  )

inlinestatic

Creates an orthographic projection matrix.

Parameters

left	The left edge of the projection volume.
right	The right edge of the projection volume.
bottom	The bottom edge of the projection volume.
top	The top edge of the projection volume.
zNear	The near edge of the projection volume.
zFar	The far edge of the projection volume.
result	The resulting Matrix4d instance.

References makVrl.Matrix4d.Matrix4d().

Referenced by makVrl.Matrix4d.CreateOrthographic(), and makVrl.Matrix4d.CreateOrthographicOffCenter().

static Matrix4d makVrl.Matrix4d.CreateOrthographicOffCenter ( double  left, double  right, double  bottom, double  top, double  zNear, double  zFar  )

inlinestatic

Creates an orthographic projection matrix.

Parameters

left	The left edge of the projection volume.
right	The right edge of the projection volume.
bottom	The bottom edge of the projection volume.
top	The top edge of the projection volume.
zNear	The near edge of the projection volume.
zFar	The far edge of the projection volume.

Returns

The resulting Matrix4d instance.

References makVrl.Matrix4d.CreateOrthographicOffCenter().

static void makVrl.Matrix4d.CreatePerspectiveFieldOfView ( double  fovy, double  aspect, double  zNear, double  zFar, out Matrix4d  result  )

inlinestatic

Creates a perspective projection matrix.

Parameters

fovy	Angle of the field of view in the y direction (in radians)
aspect	Aspect ratio of the view (width / height)
zNear	Distance to the near clip plane
zFar	Distance to the far clip plane
result	A projection matrix that transforms camera space to raster space

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions: fovy is zero, less than zero or larger than Math.PI aspect is negative or zero zNear is negative or zero zFar is negative or zero zNear is larger than zFar

References makVrl.Matrix4d.CreatePerspectiveOffCenter().

Referenced by makVrl.Matrix4d.CreatePerspectiveFieldOfView().

static Matrix4d makVrl.Matrix4d.CreatePerspectiveFieldOfView ( double  fovy, double  aspect, double  zNear, double  zFar  )

inlinestatic

Creates a perspective projection matrix.

Parameters

fovy	Angle of the field of view in the y direction (in radians)
aspect	Aspect ratio of the view (width / height)
zNear	Distance to the near clip plane
zFar	Distance to the far clip plane

Returns

A projection matrix that transforms camera space to raster space

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions: fovy is zero, less than zero or larger than Math.PI aspect is negative or zero zNear is negative or zero zFar is negative or zero zNear is larger than zFar

References makVrl.Matrix4d.CreatePerspectiveFieldOfView().

static void makVrl.Matrix4d.CreatePerspectiveOffCenter ( double  left, double  right, double  bottom, double  top, double  zNear, double  zFar, out Matrix4d  result  )

inlinestatic

Creates an perspective projection matrix.

Parameters

left	Left edge of the view frustum
right	Right edge of the view frustum
bottom	Bottom edge of the view frustum
top	Top edge of the view frustum
zNear	Distance to the near clip plane
zFar	Distance to the far clip plane
result	A projection matrix that transforms camera space to raster space

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions: zNear is negative or zero zFar is negative or zero zNear is larger than zFar

References makVrl.Matrix4d.Matrix4d().

Referenced by makVrl.Matrix4d.CreatePerspectiveFieldOfView(), and makVrl.Matrix4d.CreatePerspectiveOffCenter().

static Matrix4d makVrl.Matrix4d.CreatePerspectiveOffCenter ( double  left, double  right, double  bottom, double  top, double  zNear, double  zFar  )

inlinestatic

Creates an perspective projection matrix.

Parameters

left	Left edge of the view frustum
right	Right edge of the view frustum
bottom	Bottom edge of the view frustum
top	Top edge of the view frustum
zNear	Distance to the near clip plane
zFar	Distance to the far clip plane

Returns

A projection matrix that transforms camera space to raster space

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions: zNear is negative or zero zFar is negative or zero zNear is larger than zFar

References makVrl.Matrix4d.CreatePerspectiveOffCenter().

static void makVrl.Matrix4d.CreateRotationX ( double  angle, out Matrix4d  result  )

inlinestatic

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4d instance.

References makVrl.Vector4d.UnitW, and makVrl.Vector4d.UnitX.

Referenced by makVrl.Matrix4d.CreateRotationX().

static Matrix4d makVrl.Matrix4d.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 Matrix4d instance.

References makVrl.Matrix4d.CreateRotationX().

static void makVrl.Matrix4d.CreateRotationY ( double  angle, out Matrix4d  result  )

inlinestatic

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4d instance.

References makVrl.Vector4d.UnitW, and makVrl.Vector4d.UnitY.

Referenced by makVrl.Matrix4d.CreateRotationY().

static Matrix4d makVrl.Matrix4d.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 Matrix4d instance.

References makVrl.Matrix4d.CreateRotationY().

static void makVrl.Matrix4d.CreateRotationZ ( double  angle, out Matrix4d  result  )

inlinestatic

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4d instance.

References makVrl.Vector4d.UnitW, and makVrl.Vector4d.UnitZ.

Referenced by makVrl.Matrix4d.CreateRotationZ().

static Matrix4d makVrl.Matrix4d.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 Matrix4d instance.

References makVrl.Matrix4d.CreateRotationZ().

static void makVrl.Matrix4d.CreateTranslation ( double  x, double  y, double  z, out Matrix4d  result  )

inlinestatic

Creates a translation matrix.

Parameters

x	X translation.
y	Y translation.
z	Z translation.
result	The resulting Matrix4d instance.

References makVrl.Matrix4d.Identity, and makVrl.Matrix4d.Row3.

Referenced by makVrl.Matrix4d.CreateTranslation(), and makVrl.Matrix4d.LookAt().

static void makVrl.Matrix4d.CreateTranslation ( ref Vector3d  vector, out Matrix4d  result  )

inlinestatic

Creates a translation matrix.

Parameters

vector	The translation vector.
result	The resulting Matrix4d instance.

References makVrl.Matrix4d.Identity, and makVrl.Matrix4d.Row3.

static Matrix4d makVrl.Matrix4d.CreateTranslation ( double  x, double  y, double  z  )

inlinestatic

Creates a translation matrix.

Parameters

x	X translation.
y	Y translation.
z	Z translation.

Returns

The resulting Matrix4d instance.

References makVrl.Matrix4d.CreateTranslation().

static Matrix4d makVrl.Matrix4d.CreateTranslation ( Vector3d  vector )

inlinestatic

Creates a translation matrix.

Parameters

vector

The translation vector.

Returns

The resulting Matrix4d instance.

References makVrl.Matrix4d.CreateTranslation(), makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

override bool makVrl.Matrix4d.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.Matrix4d.operator!=(), and makVrl.Matrix4d.operator==().

bool makVrl.Matrix4d.Equals ( Matrix4d  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.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Matrix4d.Row3.

Vector4d makVrl.Matrix4d.ExtractProjection ( )

inline

Returns the projection component of this instance.

References makVrl.Matrix4d.Column3.

Quaterniond makVrl.Matrix4d.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.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Quaterniond.W, makVrl.Quaterniond.X, makVrl.Vector4d.Xyz, makVrl.Quaterniond.Y, and makVrl.Quaterniond.Z.

Vector3d makVrl.Matrix4d.ExtractScale ( )

inline

Returns the scale component of this instance.

References makVrl.Vector3d.Length, makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Vector4d.Xyz.

Vector3d makVrl.Matrix4d.ExtractTranslation ( )

inline

Returns the translation component of this instance.

References makVrl.Matrix4d.Row3, and makVrl.Vector4d.Xyz.

static Matrix4d makVrl.Matrix4d.Frustum ( double  left, double  right, double  bottom, double  top, double  near, double  far  )

inlinestatic

Build a projection matrix

Parameters

left	Left edge of the view frustum
right	Right edge of the view frustum
bottom	Bottom edge of the view frustum
top	Top edge of the view frustum
near	Distance to the near clip plane
far	Distance to the far clip plane

Returns

A projection matrix that transforms camera space to raster space

References makVrl.Matrix4d.Matrix4d().

Referenced by makVrl.Matrix4d.Perspective().

override int makVrl.Matrix4d.GetHashCode ( )

inline

Returns the hashcode for this instance.

Returns

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

References makVrl.Vector4d.GetHashCode(), makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Matrix4d.Row3.

void makVrl.Matrix4d.Invert ( )

inline

Converts this instance into its inverse.

References makVrl.Matrix4d.Invert().

Referenced by makVrl.Matrix4d.Invert(), makVrl.Matrix4d.Inverted(), and makVrl.Vector3d.TransformNormal().

static Matrix4d makVrl.Matrix4d.Invert ( Matrix4d  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 Matrix4d is singular.

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix4d.Row3, makVrl.Vector4d.W, makVrl.Vector4d.X, makVrl.Vector4d.Y, and makVrl.Vector4d.Z.

Matrix4d makVrl.Matrix4d.Inverted ( )

inline

Returns an inverted copy of this instance.

References makVrl.Matrix4d.Determinant, and makVrl.Matrix4d.Invert().

static Matrix4d makVrl.Matrix4d.LookAt ( Vector3d  eye, Vector3d  target, Vector3d  up  )

inlinestatic

Build a world space to camera space matrix

Parameters

eye	Eye (camera) position in world space
target	Target position in world space
up	Up vector in world space (should not be parallel to the camera direction, that is target - eye)

Returns

A Matrix that transforms world space to camera space

References makVrl.Matrix4d.CreateTranslation(), makVrl.Vector3d.Cross(), makVrl.Matrix4d.Matrix4d(), makVrl.Vector3d.Normalize(), makVrl.Vector4d.UnitW, makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

Referenced by makVrl.Matrix4d.LookAt().

static Matrix4d makVrl.Matrix4d.LookAt ( double  eyeX, double  eyeY, double  eyeZ, double  targetX, double  targetY, double  targetZ, double  upX, double  upY, double  upZ  )

inlinestatic

Build a world space to camera space matrix

Parameters

eyeX	Eye (camera) position in world space
eyeY	Eye (camera) position in world space
eyeZ	Eye (camera) position in world space
targetX	Target position in world space
targetY	Target position in world space
targetZ	Target position in world space
upX	Up vector in world space (should not be parallel to the camera direction, that is target - eye)
upY	Up vector in world space (should not be parallel to the camera direction, that is target - eye)
upZ	Up vector in world space (should not be parallel to the camera direction, that is target - eye)

Returns

A Matrix4 that transforms world space to camera space

References makVrl.Matrix4d.LookAt().

static Matrix4d makVrl.Matrix4d.Mult ( Matrix4d  left, Matrix4d  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.Matrix4d.Mult(), and makVrl.Matrix4d.operator*().

static void makVrl.Matrix4d.Mult ( ref Matrix4d  left, ref Matrix4d  right, out Matrix4d  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.Matrix4d.Row0, and makVrl.Vector4d.X.

static Matrix4d makVrl.Matrix4d.Mult ( Matrix4d  left, double  right  )

inlinestatic

Multiplies an instance by a scalar.

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

References makVrl.Matrix4d.Mult().

static void makVrl.Matrix4d.Mult ( ref Matrix4d  left, double  right, out Matrix4d  result  )

inlinestatic

Multiplies an instance by a scalar.

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.Matrix4d.Row0.

void makVrl.Matrix4d.Normalize ( )

inline

Divides each element in the Matrix by the Determinant.

References makVrl.Matrix4d.Determinant, makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Matrix4d.Row3.

Referenced by makVrl.Matrix4d.Normalized().

Matrix4d makVrl.Matrix4d.Normalized ( )

inline

Returns a normalised copy of this instance.

References makVrl.Matrix4d.Normalize().

static bool makVrl.Matrix4d.operator!= ( Matrix4d  left, Matrix4d  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.Matrix4d.Equals().

static Matrix4d makVrl.Matrix4d.operator* ( Matrix4d  left, Matrix4d  right  )

inlinestatic

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4d which holds the result of the multiplication

References makVrl.Matrix4d.Mult().

static Matrix4d makVrl.Matrix4d.operator* ( Matrix4d  left, float  right  )

inlinestatic

Matrix-scalar multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4d which holds the result of the multiplication

References makVrl.Matrix4d.Mult().

static Matrix4d makVrl.Matrix4d.operator+ ( Matrix4d  left, Matrix4d  right  )

inlinestatic

Matrix addition

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4d which holds the result of the addition

References makVrl.Matrix4d.Add().

static Matrix4d makVrl.Matrix4d.operator- ( Matrix4d  left, Matrix4d  right  )

inlinestatic

Matrix subtraction

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4d which holds the result of the subtraction

References makVrl.Matrix4d.Subtract().

static bool makVrl.Matrix4d.operator== ( Matrix4d  left, Matrix4d  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.Matrix4d.Equals().

static Matrix4d makVrl.Matrix4d.Perspective ( double  fovy, double  aspect, double  near, double  far  )

inlinestatic

Build a projection matrix

Parameters

fovy	Angle of the field of view in the y direction (in radians)
aspect	Aspect ratio of the view (width / height)
near	Distance to the near clip plane
far	Distance to the far clip plane

Returns

A projection matrix that transforms camera space to raster space

References makVrl.Matrix4d.Frustum().

static Matrix4d makVrl.Matrix4d.Rotate ( Vector3d  axis, double  angle  )

inlinestatic

Build a rotation matrix to rotate about the given axis

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 rotation matrix

References makVrl.Vector3d.Normalize(), makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix4d.Row3, makVrl.Vector4d.UnitW, makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

Referenced by makVrl.Matrix4d.Rotate().

static Matrix4d makVrl.Matrix4d.Rotate ( Quaterniond  q )

inlinestatic

Build a rotation matrix from a quaternion

Parameters

q	the quaternion

Returns

A rotation matrix

References makVrl.Matrix4d.Rotate(), and makVrl.Quaterniond.ToAxisAngle().

static Matrix4d makVrl.Matrix4d.RotateX ( double  angle )

inlinestatic

Build a rotation matrix that rotates about the x-axis

Parameters

angle

angle in radians to rotate counter-clockwise around the x-axis

Returns

A rotation matrix

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix4d.Row3, makVrl.Vector4d.UnitW, and makVrl.Vector4d.UnitX.

static Matrix4d makVrl.Matrix4d.RotateY ( double  angle )

inlinestatic

Build a rotation matrix that rotates about the y-axis

Parameters

angle

angle in radians to rotate counter-clockwise around the y-axis

Returns

A rotation matrix

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix4d.Row3, makVrl.Vector4d.UnitW, and makVrl.Vector4d.UnitY.

static Matrix4d makVrl.Matrix4d.RotateZ ( double  angle )

inlinestatic

Build a rotation matrix that rotates about the z-axis

Parameters

angle

angle in radians to rotate counter-clockwise around the z-axis

Returns

A rotation matrix

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix4d.Row3, makVrl.Vector4d.UnitW, and makVrl.Vector4d.UnitZ.

static Matrix4d makVrl.Matrix4d.Scale ( double  scale )

inlinestatic

Build a scaling matrix

Parameters

scale

Single scale factor for x,y and z axes

Returns

A scaling matrix

Referenced by makVrl.Matrix4d.Scale().

static Matrix4d makVrl.Matrix4d.Scale ( Vector3d  scale )

inlinestatic

Build a scaling matrix

Parameters

scale

Scale factors for x,y and z axes

Returns

A scaling matrix

References makVrl.Matrix4d.Scale(), makVrl.Vector3d.X, makVrl.Vector3d.Y, and makVrl.Vector3d.Z.

static Matrix4d makVrl.Matrix4d.Scale ( double  x, double  y, double  z  )

inlinestatic

Build a scaling matrix

Parameters

x	Scale factor for x-axis
y	Scale factor for y-axis
z	Scale factor for z-axis

Returns

A scaling matrix

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, makVrl.Matrix4d.Row3, makVrl.Vector4d.UnitW, makVrl.Vector4d.UnitX, makVrl.Vector4d.UnitY, and makVrl.Vector4d.UnitZ.

static Matrix4d makVrl.Matrix4d.Subtract ( Matrix4d  left, Matrix4d  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.Matrix4d.operator-().

static void makVrl.Matrix4d.Subtract ( ref Matrix4d  left, ref Matrix4d  right, out Matrix4d  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.Matrix4d.Row0.

override string makVrl.Matrix4d.ToString ( )

inline

Returns a System.String that represents the current Matrix44.

Returns

References makVrl.Matrix4d.Row0, makVrl.Matrix4d.Row1, makVrl.Matrix4d.Row2, and makVrl.Matrix4d.Row3.

static Matrix4d makVrl.Matrix4d.Translation ( Vector3d  trans )

inlinestatic

Build a translation matrix with the given translation

Parameters

trans

The vector to translate along

Returns

A Translation matrix

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

static Matrix4d makVrl.Matrix4d.Translation ( double  x, double  y, double  z  )

inlinestatic

Build a translation matrix with the given translation

Parameters

x	X translation
y	Y translation
z	Z translation

Returns

A Translation matrix

References makVrl.Matrix4d.Identity, and makVrl.Matrix4d.Row3.

void makVrl.Matrix4d.Transpose ( )

inline

Converts this instance into its transpose.

References makVrl.Matrix4d.Transpose().

Referenced by makVrl.Matrix4d.Transpose().

static Matrix4d makVrl.Matrix4d.Transpose ( Matrix4d  mat )

inlinestatic

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose

Returns

The transpose of the given matrix

References makVrl.Matrix4d.Column0, makVrl.Matrix4d.Column1, makVrl.Matrix4d.Column2, makVrl.Matrix4d.Column3, and makVrl.Matrix4d.Matrix4d().

static void makVrl.Matrix4d.Transpose ( ref Matrix4d  mat, out Matrix4d  result  )

inlinestatic

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Matrix4d makVrl.Matrix4d.Identity = new Matrix4d(Vector4d .UnitX, Vector4d .UnitY, Vector4d .UnitZ, Vector4d .UnitW)

static

The identity matrix

Referenced by makVrl.Matrix4d.CreateTranslation(), and makVrl.Matrix4d.Translation().

Vector4d makVrl.Matrix4d.Row0

Top row of the matrix

Referenced by makVrl.Matrix4d.Add(), makVrl.Matrix4d.ClearRotation(), makVrl.Matrix4d.ClearScale(), makVrl.Matrix4d.Equals(), makVrl.Matrix4d.ExtractRotation(), makVrl.Matrix4d.ExtractScale(), makVrl.Matrix4d.GetHashCode(), makVrl.Matrix4d.Invert(), makVrl.Matrix3d.Matrix3d(), makVrl.Matrix4d.Matrix4d(), makVrl.Matrix4d.Mult(), makVrl.Matrix4d.Normalize(), makVrl.Matrix4d.Rotate(), makVrl.Matrix4d.RotateX(), makVrl.Matrix4d.RotateY(), makVrl.Matrix4d.RotateZ(), makVrl.Matrix4d.Scale(), makVrl.Matrix4d.Subtract(), makVrl.Matrix4d.ToString(), and makVrl.Vector3d.TransformNormalInverse().

Vector4d makVrl.Matrix4d.Row1

2nd row of the matrix

Referenced by makVrl.Matrix4d.ClearRotation(), makVrl.Matrix4d.ClearScale(), makVrl.Matrix4d.Equals(), makVrl.Matrix4d.ExtractRotation(), makVrl.Matrix4d.ExtractScale(), makVrl.Matrix4d.GetHashCode(), makVrl.Matrix4d.Invert(), makVrl.Matrix3d.Matrix3d(), makVrl.Matrix4d.Matrix4d(), makVrl.Matrix4d.Normalize(), makVrl.Matrix4d.Rotate(), makVrl.Matrix4d.RotateX(), makVrl.Matrix4d.RotateY(), makVrl.Matrix4d.RotateZ(), makVrl.Matrix4d.Scale(), makVrl.Matrix4d.ToString(), and makVrl.Vector3d.TransformNormalInverse().

Vector4d makVrl.Matrix4d.Row2

3rd row of the matrix

Referenced by makVrl.Matrix4d.ClearRotation(), makVrl.Matrix4d.ClearScale(), makVrl.Matrix4d.Equals(), makVrl.Matrix4d.ExtractRotation(), makVrl.Matrix4d.ExtractScale(), makVrl.Matrix4d.GetHashCode(), makVrl.Matrix4d.Invert(), makVrl.Matrix3d.Matrix3d(), makVrl.Matrix4d.Matrix4d(), makVrl.Matrix4d.Normalize(), makVrl.Matrix4d.Rotate(), makVrl.Matrix4d.RotateX(), makVrl.Matrix4d.RotateY(), makVrl.Matrix4d.RotateZ(), makVrl.Matrix4d.Scale(), makVrl.Matrix4d.ToString(), and makVrl.Vector3d.TransformNormalInverse().

Vector4d makVrl.Matrix4d.Row3

Bottom row of the matrix

Referenced by makVrl.Matrix4d.ClearTranslation(), makVrl.Matrix4d.CreateTranslation(), makVrl.Matrix4d.Equals(), makVrl.Matrix4d.ExtractTranslation(), makVrl.Matrix4d.GetHashCode(), makVrl.Matrix4d.Invert(), makVrl.Matrix4d.Matrix4d(), makVrl.Matrix4d.Normalize(), makVrl.Matrix4d.Rotate(), makVrl.Matrix4d.RotateX(), makVrl.Matrix4d.RotateY(), makVrl.Matrix4d.RotateZ(), makVrl.Matrix4d.Scale(), makVrl.Matrix4d.ToString(), makVrl.Vector3d.TransformPosition(), and makVrl.Matrix4d.Translation().

Property Documentation

Vector4d makVrl.Matrix4d.Column0

getset

The first column of this matrix

Referenced by makVrl.Vector3d.TransformPosition(), makVrl.Vector3d.TransformVector(), and makVrl.Matrix4d.Transpose().

Vector4d makVrl.Matrix4d.Column1

getset

The second column of this matrix

Referenced by makVrl.Vector3d.TransformPosition(), makVrl.Vector3d.TransformVector(), and makVrl.Matrix4d.Transpose().

Vector4d makVrl.Matrix4d.Column2

getset

The third column of this matrix

Referenced by makVrl.Vector3d.TransformPosition(), makVrl.Vector3d.TransformVector(), and makVrl.Matrix4d.Transpose().

Vector4d makVrl.Matrix4d.Column3

getset

The fourth column of this matrix

Referenced by makVrl.Matrix4d.ClearProjection(), makVrl.Matrix4d.ExtractProjection(), and makVrl.Matrix4d.Transpose().

double makVrl.Matrix4d.Determinant

get

The determinant of this matrix

Referenced by makVrl.Matrix4d.Inverted(), and makVrl.Matrix4d.Normalize().

Vector4d makVrl.Matrix4d.Diagonal

getset

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

double makVrl.Matrix4d.M11

getset

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

double makVrl.Matrix4d.M12

getset

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

double makVrl.Matrix4d.M13

getset

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

double makVrl.Matrix4d.M14

getset

Gets or sets the value at row 1, column 4 of this instance.

double makVrl.Matrix4d.M21

getset

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

double makVrl.Matrix4d.M22

getset

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

double makVrl.Matrix4d.M23

getset

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

double makVrl.Matrix4d.M24

getset

Gets or sets the value at row 2, column 4 of this instance.

double makVrl.Matrix4d.M31

getset

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

double makVrl.Matrix4d.M32

getset

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

double makVrl.Matrix4d.M33

getset

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

double makVrl.Matrix4d.M34

getset

Gets or sets the value at row 3, column 4 of this instance.

double makVrl.Matrix4d.M41

getset

Gets or sets the value at row 4, column 1 of this instance.

double makVrl.Matrix4d.M42

getset

Gets or sets the value at row 4, column 2 of this instance.

double makVrl.Matrix4d.M43

getset

Gets or sets the value at row 4, column 3 of this instance.

double makVrl.Matrix4d.M44

getset

Gets or sets the value at row 4, column 4 of this instance.

double makVrl.Matrix4d.this[int rowIndex, int columnIndex]

getset

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

double makVrl.Matrix4d.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:

• Matrix4d.cs