3x3 Matrix class for 3d graphics.

Public Member Functions
	Mat3 (Vec3 s, Vec3 f, Vec3 u)
	Initializes a new instance of matrix. More...

	Mat3 (float sx, float sy, float sz, float fx, float fy, float fz, float ux, float uy, float uz)
	Initializes a new instance of matrix. More...

void	RotateAboutSide (float a)
	Rotates about side/x-axis. Applies pitch rotation. More...

void	RotateAboutForward (float a)
	Rotates about forward/y-axis. Applies roll rotation. More...

void	RotateAboutUp (float a)
	Rotates about up/z-axis. Applies yaw rotation. More...

void	RotateAboutAnArbitraryVector (Vec3 v, float a)
	Rotates about the param vector. More...

bool	IsOrthonormal ()
	Determines whether the matrix is orthonormal. More...

bool	IsLeftHanded ()

bool	NearlyEquals (Mat3 rhs, float epsilon=MBMath.Epsilon)

Vec3	TransformToParent (Vec3 v)
	Transforms vector to parent frame. More...

Vec3	TransformToParent (ref Vec3 v)

Vec3	TransformToLocal (Vec3 v)
	Transforms vector to local frame. More...

Mat3	TransformToParent (Mat3 m)
	Transforms matrix to parent frame. More...

Mat3	TransformToLocal (Mat3 m)
	Transforms matrix to local frame. More...

void	Orthonormalize ()
	Orthonormalizes the matrix. More...

void	OrthonormalizeAccordingToForwardAndKeepUpAsZAxis ()

Mat3	GetUnitRotation (float removedScale)

Vec3	MakeUnit ()

bool	IsUnit ()

void	ApplyScaleLocal (float scaleAmount)
	Scales the matrix by scaleAmount More...

void	ApplyScaleLocal (Vec3 scaleAmountXYZ)
	Scales the matrix by scaleAmountXYZ vector. More...

bool	HasScale ()

Vec3	GetScaleVector ()
	Get scale amounts of each component More...

Vec3	GetScaleVectorSquared ()
	Get scale squared amounts of each component More...

void	ToQuaternion (out Quaternion quat)

Quaternion	ToQuaternion ()

Vec3	GetEulerAngles ()
	Calculates the angular orientation of the matrix with respect to XYZ axes. More...

Mat3	Transpose ()
	Create a transposed matrix. More...

override string	ToString ()
	Creates readable string representation More...

override bool	Equals (object obj)
	Determines whether the specified generic object is equal to this instance. More...

override int	GetHashCode ()
	Returns a hash code for this instance. More...

bool	IsIdentity ()

bool	IsZero ()

bool	IsUniformScaled ()

void	ApplyEulerAngles (Vec3 eulerAngles)

Static Public Member Functions
static Mat3	Lerp (Mat3 m1, Mat3 m2, float alpha)

static Mat3	CreateMat3WithForward (in Vec3 direction)
	Creates a new rotation matrix which has its forward axis aligned with the given direction. Uses global up vector (0,0,1) if global up is not aligned with the given direction to determine perpendicular frame directions If global up and direction are aligned, uses the global forward vector (0,1,0) for the same purpose. More...

static Mat3	operator* (Mat3 v, float a)
	Implements matrix scalar product. More...

static bool	operator== (Mat3 m1, Mat3 m2)
	Implements the operator ==. More...

static bool	operator!= (Mat3 m1, Mat3 m2)
	Implements the operator !=. More...

Public Attributes
Vec3	s
	Side vector, also x axis. More...

Vec3	f
	Forward vector, also y axis. More...

Vec3	u
	Up vector, also z axis. More...

Properties
Vec3	this[int i] `[get, set]`
	Implements indexer operation More...

static Mat3	Identity `[get]`
	Returns a identity matrix. More...

Constructor & Destructor Documentation

◆ Mat3() [1/2]

TaleWorlds.Library.Mat3.Mat3	(	Vec3	s,
		Vec3	f,
		Vec3	u
	)

Parameters

s	The side axis.
f	The forward axis.
u	The up axis.

◆ Mat3() [2/2]

TaleWorlds.Library.Mat3.Mat3	(	float	sx,
		float	sy,
		float	sz,
		float	fx,
		float	fy,
		float	fz,
		float	ux,
		float	uy,
		float	uz
	)

Parameters

sx	The side.x.
sy	The side.y.
sz	The side.z.
fx	The forward.x.
fy	The forward.y.
fz	The forward.z.
ux	The up.x.
uy	The up.y.
uz	The up.z.

Member Function Documentation

◆ RotateAboutSide()

void TaleWorlds.Library.Mat3.RotateAboutSide ( float a )

Parameters

a	The amount, in radians, in which to rotate around the x-axis.

◆ RotateAboutForward()

void TaleWorlds.Library.Mat3.RotateAboutForward ( float a )

Parameters

a	The amount, in radians, in which to rotate around the y-axis.

◆ RotateAboutUp()

void TaleWorlds.Library.Mat3.RotateAboutUp ( float a )

Parameters

a	The amount, in radians, in which to rotate around the z-axis.

◆ RotateAboutAnArbitraryVector()

void TaleWorlds.Library.Mat3.RotateAboutAnArbitraryVector	(	Vec3	v,
		float	a
	)

Parameters

v	The vector to be rotated about.
a	The amount, in radians, in which to rotate around the param vector.

◆ IsOrthonormal()

bool TaleWorlds.Library.Mat3.IsOrthonormal ( )

Returns: true if the matrix is orthonormal; otherwise, false.

◆ IsLeftHanded()

bool TaleWorlds.Library.Mat3.IsLeftHanded ( )

◆ NearlyEquals()

bool TaleWorlds.Library.Mat3.NearlyEquals	(	Mat3	rhs,
		float	epsilon = `MBMath.Epsilon`
	)

◆ TransformToParent() [1/3]

Vec3 TaleWorlds.Library.Mat3.TransformToParent ( Vec3 v )

Parameters

v	Vector in local frame.

Returns: Vector in parent frame.

◆ TransformToParent() [2/3]

Vec3 TaleWorlds.Library.Mat3.TransformToParent ( ref Vec3 v )

◆ TransformToLocal() [1/2]

Vec3 TaleWorlds.Library.Mat3.TransformToLocal ( Vec3 v )

Parameters

v	Vector in parent frame.

Returns: Vector in local frame.

◆ TransformToParent() [3/3]

Mat3 TaleWorlds.Library.Mat3.TransformToParent ( Mat3 m )

Parameters

m	Matrix in local frame.

Returns: Matrix in parent frame.

◆ TransformToLocal() [2/2]

Mat3 TaleWorlds.Library.Mat3.TransformToLocal ( Mat3 m )

Parameters

m	Matrix in parent frame.

Returns: Matrix in local frame.

◆ Orthonormalize()

void TaleWorlds.Library.Mat3.Orthonormalize ( )

◆ OrthonormalizeAccordingToForwardAndKeepUpAsZAxis()

void TaleWorlds.Library.Mat3.OrthonormalizeAccordingToForwardAndKeepUpAsZAxis ( )

◆ GetUnitRotation()

Mat3 TaleWorlds.Library.Mat3.GetUnitRotation ( float removedScale )

◆ MakeUnit()

Vec3 TaleWorlds.Library.Mat3.MakeUnit ( )

◆ IsUnit()

bool TaleWorlds.Library.Mat3.IsUnit ( )

◆ ApplyScaleLocal() [1/2]

void TaleWorlds.Library.Mat3.ApplyScaleLocal ( float scaleAmount )

Parameters

scaleAmount The scale amount.

◆ ApplyScaleLocal() [2/2]

void TaleWorlds.Library.Mat3.ApplyScaleLocal ( Vec3 scaleAmountXYZ )

Parameters

scaleAmountXYZ The scale amount.

◆ HasScale()

bool TaleWorlds.Library.Mat3.HasScale ( )

◆ GetScaleVector()

Vec3 TaleWorlds.Library.Mat3.GetScaleVector ( )

◆ GetScaleVectorSquared()

Vec3 TaleWorlds.Library.Mat3.GetScaleVectorSquared ( )

◆ ToQuaternion() [1/2]

void TaleWorlds.Library.Mat3.ToQuaternion ( out Quaternion quat )

◆ ToQuaternion() [2/2]

Quaternion TaleWorlds.Library.Mat3.ToQuaternion ( )

◆ Lerp()

static Mat3 TaleWorlds.Library.Mat3.Lerp	(	Mat3	m1,
		Mat3	m2,
		float	alpha
	)

static

◆ CreateMat3WithForward()

static Mat3 TaleWorlds.Library.Mat3.CreateMat3WithForward ( in Vec3 direction )

static

Parameters

direction Is the forward direction.

◆ GetEulerAngles()

Vec3 TaleWorlds.Library.Mat3.GetEulerAngles ( )

Returns: Each axis's rotation angle is wrapped in the vector's corresponding component.

◆ Transpose()

Mat3 TaleWorlds.Library.Mat3.Transpose ( )

Returns

◆ operator*()

static Mat3 TaleWorlds.Library.Mat3.operator*	(	Mat3	v,
		float	a
	)

static

Parameters

v	The matrix.
a	Scalar.

Returns: The result of the operator.

◆ operator==()

static bool TaleWorlds.Library.Mat3.operator==	(	Mat3	m1,
		Mat3	m2
	)

static

Parameters

m1	The m1.
m2	The m2.

Returns: The result of the operator.

◆ operator!=()

static bool TaleWorlds.Library.Mat3.operator!=	(	Mat3	m1,
		Mat3	m2
	)

static

Parameters

m1	The m1.
m2	The m2.

Returns: The result of the operator.

◆ ToString()

override string TaleWorlds.Library.Mat3.ToString ( )

Returns: Output string

◆ Equals()

override bool TaleWorlds.Library.Mat3.Equals ( object obj )

Parameters

obj	The generic object to compare with this instance.

Returns: true if the specified generic object is equal to this instance; otherwise, false.

◆ GetHashCode()

override int TaleWorlds.Library.Mat3.GetHashCode ( )

Returns: A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.

◆ IsIdentity()

bool TaleWorlds.Library.Mat3.IsIdentity ( )

◆ IsZero()

bool TaleWorlds.Library.Mat3.IsZero ( )

◆ IsUniformScaled()

bool TaleWorlds.Library.Mat3.IsUniformScaled ( )

◆ ApplyEulerAngles()

void TaleWorlds.Library.Mat3.ApplyEulerAngles ( Vec3 eulerAngles )

Member Data Documentation

◆ s

Vec3 TaleWorlds.Library.Mat3.s

◆ f

Vec3 TaleWorlds.Library.Mat3.f

◆ u

Vec3 TaleWorlds.Library.Mat3.u

Property Documentation

◆ this[int i]

Vec3 TaleWorlds.Library.Mat3.this[int i]

getset

return s if i = 0 return f if i = 1 return u if i = 2

◆ Identity

Mat3 TaleWorlds.Library.Mat3.Identity

staticget

Returns

Public Member Functions

Static Public Member Functions

Public Attributes

Properties

Constructor & Destructor Documentation

◆ Mat3() [1/2]

◆ Mat3() [2/2]

Member Function Documentation

◆ RotateAboutSide()

◆ RotateAboutForward()

◆ RotateAboutUp()

◆ RotateAboutAnArbitraryVector()

◆ IsOrthonormal()

◆ IsLeftHanded()

◆ NearlyEquals()

◆ TransformToParent() [1/3]

◆ TransformToParent() [2/3]

◆ TransformToLocal() [1/2]

◆ TransformToParent() [3/3]

◆ TransformToLocal() [2/2]

◆ Orthonormalize()

◆ OrthonormalizeAccordingToForwardAndKeepUpAsZAxis()

◆ GetUnitRotation()

◆ MakeUnit()

◆ IsUnit()

◆ ApplyScaleLocal() [1/2]

◆ ApplyScaleLocal() [2/2]

◆ HasScale()

◆ GetScaleVector()

◆ GetScaleVectorSquared()

◆ ToQuaternion() [1/2]

◆ ToQuaternion() [2/2]

◆ Lerp()

◆ CreateMat3WithForward()

◆ GetEulerAngles()

◆ Transpose()

◆ operator*()

◆ operator==()

◆ operator!=()

◆ ToString()

◆ Equals()

◆ GetHashCode()

◆ IsIdentity()

◆ IsZero()

◆ IsUniformScaled()

◆ ApplyEulerAngles()

Member Data Documentation

◆ s

◆ f

◆ u

Property Documentation

◆ this[int i]

◆ Identity