Matrix33< T > Class Template Reference

#include <ImathMatrix.h>

Inheritance diagram for Matrix33< T >:

Public Types
typedef T	BaseType
	The base type: In templates that accept a parameter V (could be a Color4), you can refer to T as V::BaseType More...
typedef Vec3< T >	BaseVecType
	The base vector type. More...
Public Types inherited from MatrixN< Matrix33, float, 3 >
using	RowArray = typename std::array< float, N >
using	Iterator = typename std::array< RowArray, N >::iterator
using	ConstIterator = typename std::array< RowArray, N >::const_iterator

Public Member Functions
IMATH_HOSTDEVICE T *	operator[] (int i) IMATH_NOEXCEPT
	Row access. More...
IMATH_HOSTDEVICE const T *	operator[] (int i) const IMATH_NOEXCEPT
	Row access. More...
	Matrix33 ()=default
	Matrix33 (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T > &	setValue (const Matrix33< S > &v) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T > &	setTheMatrix (const Matrix33< S > &v) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE const Matrix33< T > &	setRotation (S r) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	rotate (S r) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	setScale (const Vec2< S > &s) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	scale (const Vec2< S > &s) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	setTranslation (const Vec2< S > &t) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	translate (const Vec2< S > &t) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	setShear (const S &xy) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	setShear (const Vec2< S > &h) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	shear (const S &xy) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > &	shear (const Vec2< S > &h) IMATH_NOEXCEPT
Constructors and Assignment
IMATH_HOSTDEVICE	Matrix33 (Uninitialized) IMATH_NOEXCEPT
	Uninitialized. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14	Matrix33 () IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14	Matrix33 (T a) IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14	Matrix33 (const T a[3][3]) IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14	Matrix33 (T a, T b, T c, T d, T e, T f, T g, T h, T i) IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14	Matrix33 (const Matrix33 &v) IMATH_NOEXCEPT
	Copy constructor. More...
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14	Matrix33 (const Matrix33< S > &v) IMATH_NOEXCEPT
	Construct from Matrix33 of another base type. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator= (const Matrix33 &v) IMATH_NOEXCEPT
	Assignment operator. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator= (T a) IMATH_NOEXCEPT
	Assignment from scalar. More...
	~Matrix33 () IMATH_NOEXCEPT=default
	Destructor. More...
Interoperability with other matrix types
Construction and assignment are allowed from other classes that appear to be equivalent matrix types, provided that they support double-subscript (i.e., m[j][i]) giving the same type as the elements of this matrix, and their total size appears to be the right number of matrix elements. This functionality is disabled for gcc 4.x, which seems to have a compiler bug that results in spurious errors. It can also be disabled by defining IMATH_FOREIGN_VECTOR_INTEROP to be 0 prior to including any Imath header files.
template<typename M , IMATH_ENABLE_IF(has_double_subscript< M, T, 3, 3 >::value) >
IMATH_HOSTDEVICE	Matrix33 (const M &m)
template<typename M , IMATH_ENABLE_IF(has_double_subscript< M, T, 3, 3 >::value) >
IMATH_HOSTDEVICE const Matrix33 &	operator= (const M &m)
Compatibility with Sb
IMATH_HOSTDEVICE T *	getValue () IMATH_NOEXCEPT
	Return a raw pointer to the array of values. More...
IMATH_HOSTDEVICE const T *	getValue () const IMATH_NOEXCEPT
	Return a raw pointer to the array of values. More...
template<class S >
IMATH_HOSTDEVICE void	getValue (Matrix33< S > &v) const IMATH_NOEXCEPT
	Return the value in v More...
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33 &	setValue (const Matrix33< S > &v) IMATH_NOEXCEPT
	Set the value. More...
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33 &	setTheMatrix (const Matrix33< S > &v) IMATH_NOEXCEPT
	Set the value. More...
Arithmetic and Comparison
IMATH_HOSTDEVICE constexpr bool	operator== (const Matrix33 &v) const IMATH_NOEXCEPT
	Equality. More...
IMATH_HOSTDEVICE constexpr bool	operator!= (const Matrix33 &v) const IMATH_NOEXCEPT
	Inequality. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 bool	equalWithAbsError (const Matrix33< T > &v, T e) const IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 bool	equalWithRelError (const Matrix33< T > &v, T e) const IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator+= (const Matrix33 &v) IMATH_NOEXCEPT
	Component-wise addition. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator+= (T a) IMATH_NOEXCEPT
	Component-wise addition. More...
IMATH_HOSTDEVICE constexpr Matrix33	operator+ (const Matrix33 &v) const IMATH_NOEXCEPT
	Component-wise addition. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator-= (const Matrix33 &v) IMATH_NOEXCEPT
	Component-wise subtraction. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator-= (T a) IMATH_NOEXCEPT
	Component-wise subtraction. More...
IMATH_HOSTDEVICE constexpr Matrix33	operator- (const Matrix33 &v) const IMATH_NOEXCEPT
	Component-wise subtraction. More...
IMATH_HOSTDEVICE constexpr Matrix33	operator- () const IMATH_NOEXCEPT
	Component-wise multiplication by -1. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	negate () IMATH_NOEXCEPT
	Component-wise multiplication by -1. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator*= (T a) IMATH_NOEXCEPT
	Component-wise multiplication. More...
IMATH_HOSTDEVICE constexpr Matrix33	operator* (T a) const IMATH_NOEXCEPT
	Component-wise multiplication. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator/= (T a) IMATH_NOEXCEPT
	Component-wise division. More...
IMATH_HOSTDEVICE constexpr Matrix33	operator/ (T a) const IMATH_NOEXCEPT
	Component-wise division. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	operator*= (const Matrix33 &v) IMATH_NOEXCEPT
	Matrix-matrix multiplication. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33	operator* (const Matrix33 &v) const IMATH_NOEXCEPT
	Matrix-matrix multiplication. More...
template<class S >
IMATH_HOSTDEVICE void	multVecMatrix (const Vec2< S > &src, Vec2< S > &dst) const IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE void	multDirMatrix (const Vec2< S > &src, Vec2< S > &dst) const IMATH_NOEXCEPT
Maniplation
IMATH_HOSTDEVICE void	makeIdentity () IMATH_NOEXCEPT
	Set to the identity matrix. More...
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	transpose () IMATH_NOEXCEPT
	Transpose. More...
IMATH_HOSTDEVICE constexpr Matrix33	transposed () const IMATH_NOEXCEPT
	Return the transpose. More...
IMATH_CONSTEXPR14 const Matrix33 &	invert (bool singExc)
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	invert () IMATH_NOEXCEPT
IMATH_CONSTEXPR14 Matrix33< T >	inverse (bool singExc) const
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >	inverse () const IMATH_NOEXCEPT
	Return the inverse using the determinant, leaving this unmodified. More...
const Matrix33 &	gjInvert (bool singExc)
IMATH_HOSTDEVICE const Matrix33 &	gjInvert () IMATH_NOEXCEPT
Matrix33< T >	gjInverse (bool singExc) const
IMATH_HOSTDEVICE Matrix33< T >	gjInverse () const IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 T	minorOf (const int r, const int c) const IMATH_NOEXCEPT
	Calculate the matrix minor of the (r,c) element. More...
IMATH_HOSTDEVICE constexpr T	fastMinor (const int r0, const int r1, const int c0, const int c1) const IMATH_NOEXCEPT
	Build a minor using the specified rows and columns. More...
IMATH_HOSTDEVICE constexpr T	determinant () const IMATH_NOEXCEPT
	Determinant. More...
template<class S >
IMATH_HOSTDEVICE const Matrix33 &	setRotation (S r) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	rotate (S r) IMATH_NOEXCEPT
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	setScale (T s) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	setScale (const Vec2< S > &s) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	scale (const Vec2< S > &s) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	setTranslation (const Vec2< S > &t) IMATH_NOEXCEPT
IMATH_HOSTDEVICE constexpr Vec2< T >	translation () const IMATH_NOEXCEPT
	Return the translation component. More...
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	translate (const Vec2< S > &t) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	setShear (const S &h) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	setShear (const Vec2< S > &h) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	shear (const S &xy) IMATH_NOEXCEPT
template<class S >
IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33 &	shear (const Vec2< S > &h) IMATH_NOEXCEPT
Matrix Operations
Matrix33	getTranspose () const
	Return the transpose of the matrix. More...
float	getDeterminant () const
	Return the determinant of the matrix. More...
Matrix33	getAdjugate () const
	Return the adjugate of the matrix. More...
Matrix33	getInverse () const
	Return the inverse of the matrix. More...
Public Member Functions inherited from MatrixN< Matrix33, float, 3 >
	MatrixN ()
	MatrixN (Uninit)
	MatrixN (floats)
	MatrixN (const float *begin, const float *end)
bool	operator== (const Matrix33 &rhs) const
	Return true if the given matrix is identical to this one. More...
bool	operator!= (const Matrix33 &rhs) const
	Return true if the given matrix differs from this one. More...
bool	isEquivalent (const Matrix33 &rhs, floattolerance) const
RowArray &	operator[] (size_t i)
	Return the row array at the given index. More...
const RowArray &	operator[] (size_t i) const
	Return the const row array at the given index. More...
Matrix33	operator+ (const Matrix33 &rhs) const
	Component-wise addition of two matrices. More...
MatrixN &	operator+= (const Matrix33 &rhs)
	Component-wise addition of two matrices. More...
Matrix33	operator- (const Matrix33 &rhs) const
	Component-wise subtraction of two matrices. More...
MatrixN &	operator-= (const Matrix33 &rhs)
	Component-wise subtraction of two matrices. More...
Matrix33	operator* (floats) const
	Component-wise multiplication of a matrix and a scalar. More...
MatrixN &	operator*= (floats)
	Component-wise multiplication of a matrix and a scalar. More...
Matrix33	operator/ (floats) const
	Component-wise division of a matrix by a scalar. More...
MatrixN &	operator/= (floats)
	Component-wise division of a matrix by a scalar. More...
Matrix33	operator* (const Matrix33 &rhs) const
	Compute the matrix product. More...
MatrixN &	operator*= (const Matrix33 &rhs)
	Compute the matrix product. More...
Matrix33	operator/ (const Matrix33 &rhs) const
MatrixN &	operator/= (const Matrix33 &rhs)
Iterator	begin ()
ConstIterator	begin () const
Iterator	end ()
ConstIterator	end () const
float *	data ()
	Return a pointer to the underlying data array. More...
const float *	data () const
	Return a const pointer to the underlying data array. More...

Static Public Member Functions
IMATH_HOSTDEVICE static constexpr unsigned int	dimensions () IMATH_NOEXCEPT
	Return the number of the row and column dimensions, i.e. 3. More...
Numeric Limits
IMATH_HOSTDEVICE static constexpr T	baseTypeLowest () IMATH_NOEXCEPT
	Largest possible negative value. More...
IMATH_HOSTDEVICE static constexpr T	baseTypeMax () IMATH_NOEXCEPT
	Largest possible positive value. More...
IMATH_HOSTDEVICE static constexpr T	baseTypeSmallest () IMATH_NOEXCEPT
	Smallest possible positive value. More...
IMATH_HOSTDEVICE static constexpr T	baseTypeEpsilon () IMATH_NOEXCEPT
	Smallest possible e for which 1+e != 1. More...
Static Public Member Functions inherited from MatrixN< Matrix33, float, 3 >
static constexpr size_t	numRows ()
	Return the number of rows in this matrix. More...
static constexpr size_t	numColumns ()
	Return the number of columns in this matrix. More...

Public Attributes
Direct access to elements
T	x [3][3]
	Matrix elements. More...

Static Public Attributes
static const Matrix33	IDENTITY

Vector Transformations
Vector3	multiply (const Vector3 &v) const
	Return the product of this matrix and a 3D vector. More...
Vector2	transformPoint (const Vector2 &v) const
	Transform the given 2D point. More...
Vector2	transformVector (const Vector2 &v) const
	Transform the given 2D direction vector. More...
Vector3	transformNormal (const Vector3 &v) const
	Transform the given 3D normal vector. More...
static Matrix33	createTranslation (const Vector2 &v)
	Create a translation matrix. More...
static Matrix33	createScale (const Vector2 &v)
	Create a scale matrix. More...
static Matrix33	createRotation (float angle)

Additional Inherited Members
Protected Attributes inherited from MatrixN< Matrix33, float, 3 >
std::array< RowArray, N >	_arr

Detailed Description

template<class T>
class Matrix33< T >

3x3 transformation matrix

A 3x3 matrix of floating-point values.

Vector transformation methods follow the row-vector convention, with matrix-vector multiplication computed as v' = vM.

Definition at line 318 of file ImathMatrix.h.

Member Typedef Documentation

template<class T>

typedef T Matrix33< T >::BaseType

The base type: In templates that accept a parameter V (could be a Color4), you can refer to T as V::BaseType

Definition at line 652 of file ImathMatrix.h.

template<class T>

typedef Vec3<T> Matrix33< T >::BaseVecType

The base vector type.

Definition at line 655 of file ImathMatrix.h.

Constructor & Destructor Documentation

template<class T>

IMATH_HOSTDEVICE Matrix33< T >::Matrix33 ( Uninitialized  )

inline

Uninitialized.

Definition at line 340 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >::Matrix33 ( )

inline

Default constructor: initialize to identity 1 0 0 0 1 0 0 0 1

Definition at line 1740 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >::Matrix33 ( T  a )

inline

Initialize to scalar constant a a a a a a a a a

Definition at line 1753 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >::Matrix33 ( const T  a[3][3] )

inline

Construct from 3x3 array a[0][0] a[0][1] a[0][2] a[1][0] a[1][1] a[1][2] a[2][0] a[2][1] a[2][2]

Definition at line 1766 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >::Matrix33 ( T  a, T  b, T  c, T  d, T  e, T  f, T  g, T  h, T  i  )

inline

Construct from given scalar values a b c d e f g h i

Definition at line 1784 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >::Matrix33 ( const Matrix33< T > &  v )

inline

Copy constructor.

Definition at line 1798 of file ImathMatrix.h.

template<class T >

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T >::Matrix33 ( const Matrix33< S > &  v )

inlineexplicit

Construct from Matrix33 of another base type.

Definition at line 1817 of file ImathMatrix.h.

template<class T>

Matrix33< T >::~Matrix33 ( )

default

Destructor.

template<class T>

template<typename M , IMATH_ENABLE_IF(has_double_subscript< M, T, 3, 3 >::value) >

IMATH_HOSTDEVICE Matrix33< T >::Matrix33 ( const M &  m )

inlineexplicit

Interoperability assignment from another type that behaves as if it were an equivalent matrix.

Definition at line 399 of file ImathMatrix.h.

template<class T>

Matrix33< T >::Matrix33 ( )

default

template<class T>

Matrix33< T >::Matrix33 ( float  m00, float  m01, float  m02, float  m10, float  m11, float  m12, float  m20, float  m21, float  m22  )

inline

Definition at line 590 of file Types.h.

Member Function Documentation

template<class T>

IMATH_HOSTDEVICE static constexpr T Matrix33< T >::baseTypeEpsilon ( )

inlinestatic

Smallest possible e for which 1+e != 1.

Definition at line 644 of file ImathMatrix.h.

template<class T>

IMATH_HOSTDEVICE static constexpr T Matrix33< T >::baseTypeLowest ( )

inlinestatic

Largest possible negative value.

Definition at line 635 of file ImathMatrix.h.

template<class T>

IMATH_HOSTDEVICE static constexpr T Matrix33< T >::baseTypeMax ( )

inlinestatic

Largest possible positive value.

Definition at line 638 of file ImathMatrix.h.

template<class T>

IMATH_HOSTDEVICE static constexpr T Matrix33< T >::baseTypeSmallest ( )

inlinestatic

Smallest possible positive value.

Definition at line 641 of file ImathMatrix.h.

template<class T>

static Matrix33 Matrix33< T >::createRotation ( float  angle )

static

Create a rotation matrix.

Parameters

angle

Angle in radians

template<class T>

static Matrix33 Matrix33< T >::createScale ( const Vector2 &  v )

static

Create a scale matrix.

template<class T>

static Matrix33 Matrix33< T >::createTranslation ( const Vector2 &  v )

static

Create a translation matrix.

template<class T >

IMATH_HOSTDEVICE constexpr T Matrix33< T >::determinant ( ) const

inline

Determinant.

Definition at line 2760 of file ImathMatrix.h.

template<class T>

IMATH_HOSTDEVICE static constexpr unsigned int Matrix33< T >::dimensions ( )

inlinestatic

Return the number of the row and column dimensions, i.e. 3.

Definition at line 649 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 bool Matrix33< T >::equalWithAbsError ( const Matrix33< T > &  v, T  e  ) const

inline

Compare two matrices and test if they are "approximately equal":

Returns

True if the coefficients of this and m are the same with an absolute error of no more than e, i.e., for all i, j:

abs (this[i][j] - m[i][j]) <= e  

Definition at line 1965 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 bool Matrix33< T >::equalWithRelError ( const Matrix33< T > &  v, T  e  ) const

inline

Compare two matrices and test if they are "approximately equal":

Returns

True if the coefficients of this and m are the same with a relative error of no more than e, i.e., for all i, j:

abs (this[i] - v[i][j]) <= e * abs (this[i][j])  

Definition at line 1977 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr T Matrix33< T >::fastMinor ( const int  r0, const int  r1, const int  c0, const int  c1  ) const

inline

Build a minor using the specified rows and columns.

Definition at line 2753 of file ImathMatrix.h.

template<class T>

Matrix33 Matrix33< T >::getAdjugate

(

)

const

Return the adjugate of the matrix.

template<class T>

float Matrix33< T >::getDeterminant

(

)

const

Return the determinant of the matrix.

template<class T>

Matrix33 Matrix33< T >::getInverse ( ) const

inline

Return the inverse of the matrix.

Definition at line 613 of file Types.h.

template<class T>

Matrix33 Matrix33< T >::getTranspose

(

)

const

Return the transpose of the matrix.

template<class T >

IMATH_HOSTDEVICE IMATH_HOSTDEVICE T * Matrix33< T >::getValue ( )

inline

Return a raw pointer to the array of values.

Definition at line 1868 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE const T * Matrix33< T >::getValue ( ) const

inline

Return a raw pointer to the array of values.

Definition at line 1875 of file ImathMatrix.h.

template<class T >

template<class S >

IMATH_HOSTDEVICE void Matrix33< T >::getValue ( Matrix33< S > &  v ) const

inline

Return the value in v

Definition at line 1883 of file ImathMatrix.h.

template<class T >

Matrix33< T > Matrix33< T >::gjInverse ( bool  singExc ) const

inline

Return the inverse using the Gauss-Jordan method, leaving this unmodified. Significantly slower but more accurate than inverse().

Definition at line 2307 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE Matrix33< T > Matrix33< T >::gjInverse ( ) const

inline

Return the inverse using the Gauss-Jordan method. Significantly slower, leaving this unmodified. Slower but more accurate than inverse().

Definition at line 2411 of file ImathMatrix.h.

template<class T >

const Matrix33< T > & Matrix33< T >::gjInvert ( bool  singExc )

inline

Invert in place using the Gauss-Jordan method. Significantly slower but more accurate than invert().

Parameters

singExc

If true, throw an exception if the matrix cannot be inverted.

Returns

const reference to this

Definition at line 2291 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE const Matrix33< T > & Matrix33< T >::gjInvert ( )

inline

Invert in place using the Gauss-Jordan method. Significantly slower but more accurate than invert().

Returns

const reference to this

Definition at line 2299 of file ImathMatrix.h.

template<class T >

IMATH_CONSTEXPR14 Matrix33< T > Matrix33< T >::inverse ( bool  singExc ) const

inline

Return the inverse using the determinant, leaving this unmodified.

Parameters

singExc

If true, throw an exception if the matrix cannot be inverted.

Definition at line 2525 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T > Matrix33< T >::inverse ( ) const

inline

Return the inverse using the determinant, leaving this unmodified.

Definition at line 2636 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::invert ( bool  singExc )

inline

Invert in place using the determinant.

Parameters

singExc

If true, throw an exception if the matrix cannot be inverted.

Returns

const reference to this

Definition at line 2509 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::invert ( )

inline

Invert in place using the determinant.

Returns

const reference to this

Definition at line 2517 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE void Matrix33< T >::makeIdentity ( )

inline

Set to the identity matrix.

Definition at line 1932 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 T Matrix33< T >::minorOf ( const int  r, const int  c  ) const

inline

Calculate the matrix minor of the (r,c) element.

Definition at line 2741 of file ImathMatrix.h.

template<class T >

template<class S >

IMATH_HOSTDEVICE void Matrix33< T >::multDirMatrix ( const Vec2< S > &  src, Vec2< S > &  dst  ) const

inline

Vector-matrix multiplication: multiply src by the upper left 2x2 submatrix, ignoring the rest of matrix.

Parameters

[in]	src	The input vector
[out]	dst	The output vector

Definition at line 2222 of file ImathMatrix.h.

template<class T>

Vector3 Matrix33< T >::multiply

(

const Vector3 &

v

)

const

Return the product of this matrix and a 3D vector.

template<class T >

template<class S >

IMATH_HOSTDEVICE void Matrix33< T >::multVecMatrix ( const Vec2< S > &  src, Vec2< S > &  dst  ) const

inline

Vector-matrix multiplication: a homogeneous transformation by computing Vec3 (src.x, src.y, 1) * m and dividing by the result's third element.

Parameters

[in]	src	The input vector
[out]	dst	The output vector

Definition at line 2207 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::negate ( )

inline

Component-wise multiplication by -1.

Definition at line 2102 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr bool Matrix33< T >::operator!= ( const Matrix33< T > &  v ) const

inline

Inequality.

Definition at line 1956 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Matrix33< T > Matrix33< T >::operator* ( T  a ) const

inline

Component-wise multiplication.

Definition at line 2136 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33< T > Matrix33< T >::operator* ( const Matrix33< T > &  v ) const

inline

Matrix-matrix multiplication.

Definition at line 2183 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator*= ( T  a )

inline

Component-wise multiplication.

Definition at line 2119 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator*= ( const Matrix33< T > &  v )

inline

Matrix-matrix multiplication.

Definition at line 2159 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Matrix33< T > Matrix33< T >::operator+ ( const Matrix33< T > &  v ) const

inline

Component-wise addition.

Definition at line 2023 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator+= ( const Matrix33< T > &  v )

inline

Component-wise addition.

Definition at line 1989 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator+= ( T  a )

inline

Component-wise addition.

Definition at line 2006 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Matrix33< T > Matrix33< T >::operator- ( const Matrix33< T > &  v ) const

inline

Component-wise subtraction.

Definition at line 2072 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Matrix33< T > Matrix33< T >::operator- ( ) const

inline

Component-wise multiplication by -1.

Definition at line 2087 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator-= ( const Matrix33< T > &  v )

inline

Component-wise subtraction.

Definition at line 2038 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator-= ( T  a )

inline

Component-wise subtraction.

Definition at line 2055 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Matrix33< T > Matrix33< T >::operator/ ( T  a ) const

inline

Component-wise division.

Definition at line 2252 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator/= ( T  a )

inline

Component-wise division.

Definition at line 2235 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator= ( const Matrix33< T > &  v )

inline

Assignment operator.

Definition at line 1832 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::operator= ( T  a )

inline

Assignment from scalar.

Definition at line 1852 of file ImathMatrix.h.

template<class T>

template<typename M , IMATH_ENABLE_IF(has_double_subscript< M, T, 3, 3 >::value) >

IMATH_HOSTDEVICE const Matrix33& Matrix33< T >::operator= ( const M &  m )

inline

Interoperability assignment from another type that behaves as if it were an equivalent matrix.

Definition at line 408 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr bool Matrix33< T >::operator== ( const Matrix33< T > &  v ) const

inline

Equality.

Definition at line 1947 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_HOSTDEVICE T * Matrix33< T >::operator[] ( int  i )

inline

Row access.

Definition at line 1726 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE const T * Matrix33< T >::operator[] ( int  i ) const

inline

Row access.

Definition at line 1733 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::rotate

(

S

r

)

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::rotate ( S  r )

inline

Definition at line 2795 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::scale

(

const Vec2< S > &

s

)

Scale the matrix by s

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::scale ( const Vec2< S > &  s )

inline

Definition at line 2851 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE const Matrix33& Matrix33< T >::setRotation

(

S

r

)

Set matrix to rotation by r (in radians)

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE const Matrix33<T>& Matrix33< T >::setRotation ( S  r )

inline

Definition at line 2770 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::setScale ( T  s )

inline

Set matrix to scale by given uniform factor

Returns

const referenced to this

Definition at line 2803 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::setScale

(

const Vec2< S > &

s

)

Set matrix to scale by given vector

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::setScale ( const Vec2< S > &  s )

inline

Definition at line 2827 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::setShear

(

const S &

h

)

Set matrix to shear x for each y coord. by given factor xy

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::setShear

(

const Vec2< S > &

h

)

Set matrix to shear x for each y coord. by given factor h.x and to shear y for each x coord. by given factor h.y

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::setShear ( const S &  xy )

inline

Definition at line 2906 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::setShear ( const Vec2< S > &  h )

inline

Definition at line 2926 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33& Matrix33< T >::setTheMatrix

(

const Matrix33< S > &

v

)

Set the value.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33<T>& Matrix33< T >::setTheMatrix ( const Matrix33< S > &  v )

inline

Definition at line 1916 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::setTranslation

(

const Vec2< S > &

t

)

Set matrix to translation by given vector

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::setTranslation ( const Vec2< S > &  t )

inline

Definition at line 2867 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33& Matrix33< T >::setValue

(

const Matrix33< S > &

v

)

Set the value.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 Matrix33<T>& Matrix33< T >::setValue ( const Matrix33< S > &  v )

inline

Definition at line 1899 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::shear

(

const S &

xy

)

Shear the matrix in x for each y coord. by given factor xy

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::shear

(

const Vec2< S > &

h

)

Shear the matrix in x for each y coord. by given factor xy and shear y for each x coord. by given factor yx

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::shear ( const S &  xy )

inline

Definition at line 2946 of file ImathMatrix.h.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::shear ( const Vec2< S > &  h )

inline

Definition at line 2964 of file ImathMatrix.h.

template<class T>

Vector3 Matrix33< T >::transformNormal

(

const Vector3 &

v

)

const

Transform the given 3D normal vector.

template<class T>

Vector2 Matrix33< T >::transformPoint

(

const Vector2 &

v

)

const

Transform the given 2D point.

template<class T>

Vector2 Matrix33< T >::transformVector

(

const Vector2 &

v

)

const

Transform the given 2D direction vector.

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33& Matrix33< T >::translate

(

const Vec2< S > &

t

)

Translate the matrix by t

Returns

const referenced to this

template<class T>

template<class S >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33<T>& Matrix33< T >::translate ( const Vec2< S > &  t )

inline

Definition at line 2894 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Vec2< T > Matrix33< T >::translation ( ) const

inline

Return the translation component.

Definition at line 2886 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE IMATH_CONSTEXPR14 const Matrix33< T > & Matrix33< T >::transpose ( )

inline

Transpose.

Definition at line 2267 of file ImathMatrix.h.

template<class T >

IMATH_HOSTDEVICE constexpr Matrix33< T > Matrix33< T >::transposed ( ) const

inline

Return the transpose.

Definition at line 2276 of file ImathMatrix.h.

Member Data Documentation

template<class T>

const Matrix33 Matrix33< T >::IDENTITY

static

Definition at line 647 of file Types.h.

template<class T>

T Matrix33< T >::x[3][3]

Matrix elements.

Definition at line 326 of file ImathMatrix.h.

---

The documentation for this class was generated from the following files:

• Imath/ImathMatrix.h
• MaterialXCore/Types.h