#include <ImathMatrix.h>

Public Types
typedef T	BaseType

typedef Vec2< T >	BaseVecType
	The base vector type.

Public Member Functions
ATOMSMATH_HOSTDEVICE T *	operator[] (int i) noexcept
	Row access.

ATOMSMATH_HOSTDEVICE const T *	operator[] (int i) const noexcept
	Row access.

template<class S >
ATOMSMATH_CONSTEXPR14	Matrix22 (const Matrix22< S > &v) noexcept

template<class S >
void	getValue (Matrix22< S > &v) const noexcept

template<class S >
ATOMSMATH_CONSTEXPR14 Matrix22< T > &	setValue (const Matrix22< S > &v) noexcept

template<class S >
ATOMSMATH_CONSTEXPR14 Matrix22< T > &	setTheMatrix (const Matrix22< S > &v) noexcept

template<class S >
void	multDirMatrix (const Vec2< S > &src, Vec2< S > &dst) const noexcept

template<class S >
const Matrix22< T > &	setRotation (S r) noexcept

template<class S >
ATOMSMATH_CONSTEXPR14 const Matrix22< T > &	rotate (S r) noexcept

template<class S >
ATOMSMATH_CONSTEXPR14 const Matrix22< T > &	setScale (const Vec2< S > &s) noexcept

template<class S >
ATOMSMATH_CONSTEXPR14 const Matrix22< T > &	scale (const Vec2< S > &s) noexcept

Constructors and Assignment
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14	Matrix22 () noexcept
	Uninitialized. More...

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14	Matrix22 (T a) noexcept

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14	Matrix22 (const T a[2][2]) noexcept

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14	Matrix22 (T a, T b, T c, T d) noexcept

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14	Matrix22 (const Matrix22 &v) noexcept
	Copy constructor.

template<class S >
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14	Matrix22 (const Matrix22< S > &v) noexcept
	Construct from Matrix22 of another base type.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator= (const Matrix22 &v) noexcept
	Assignment.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator= (T a) noexcept
	Assignment from scalar.

	~Matrix22 () noexcept=default
	Destructor.

Compatibility with Sb
ATOMSMATH_HOSTDEVICE T *	getValue () noexcept
	Return a raw pointer to the array of values.

ATOMSMATH_HOSTDEVICE const T *	getValue () const noexcept
	Return a raw pointer to the array of values.

template<class S >
ATOMSMATH_HOSTDEVICE void	getValue (Matrix22< S > &v) const noexcept
	Return the value in `v`

template<class S >
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 Matrix22 &	setValue (const Matrix22< S > &v) noexcept
	Set the value.

template<class S >
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 Matrix22 &	setTheMatrix (const Matrix22< S > &v) noexcept
	Set the value.

Arithmetic and Comparison
constexpr ATOMSMATH_HOSTDEVICE bool	operator== (const Matrix22 &v) const noexcept
	Equality.

constexpr ATOMSMATH_HOSTDEVICE bool	operator!= (const Matrix22 &v) const noexcept
	Inequality.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 bool	equalWithAbsError (const Matrix22< T > &v, T e) const noexcept

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 bool	equalWithRelError (const Matrix22< T > &v, T e) const noexcept

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator+= (const Matrix22 &v) noexcept
	Component-wise addition.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator+= (T a) noexcept
	Component-wise addition.

constexpr ATOMSMATH_HOSTDEVICE Matrix22	operator+ (const Matrix22 &v) const noexcept
	Component-wise addition.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator-= (const Matrix22 &v) noexcept
	Component-wise subtraction.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator-= (T a) noexcept
	Component-wise subtraction.

constexpr ATOMSMATH_HOSTDEVICE Matrix22	operator- (const Matrix22 &v) const noexcept
	Component-wise subtraction.

constexpr ATOMSMATH_HOSTDEVICE Matrix22	operator- () const noexcept
	Component-wise multiplication by -1.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	negate () noexcept
	Component-wise multiplication by -1.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator*= (T a) noexcept
	Component-wise multiplication.

constexpr ATOMSMATH_HOSTDEVICE Matrix22	operator* (T a) const noexcept
	Component-wise multiplication.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator/= (T a) noexcept
	Component-wise division.

constexpr ATOMSMATH_HOSTDEVICE Matrix22	operator/ (T a) const noexcept
	Component-wise division.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	operator*= (const Matrix22 &v) noexcept
	Matrix-matrix multiplication.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 Matrix22	operator* (const Matrix22 &v) const noexcept
	Matrix-matrix multiplication.

template<class S >
ATOMSMATH_HOSTDEVICE void	multDirMatrix (const Vec2< S > &src, Vec2< S > &dst) const noexcept

Maniplation
ATOMSMATH_HOSTDEVICE void	makeIdentity () noexcept
	Set to the identity.

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	transpose () noexcept
	Transpose.

constexpr ATOMSMATH_HOSTDEVICE Matrix22	transposed () const noexcept
	Return the transpose.

ATOMSMATH_CONSTEXPR14 const Matrix22 &	invert (bool singExc)

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	invert () noexcept

ATOMSMATH_CONSTEXPR14 Matrix22< T >	inverse (bool singExc) const

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 Matrix22< T >	inverse () const noexcept
	Return the inverse, leaving this unmodified.

constexpr ATOMSMATH_HOSTDEVICE T	determinant () const noexcept
	Determinant.

template<class S >
ATOMSMATH_HOSTDEVICE const Matrix22 &	setRotation (S r) noexcept

template<class S >
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	rotate (S r) noexcept

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	setScale (T s) noexcept

template<class S >
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	setScale (const Vec2< S > &s) noexcept

template<class S >
ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22 &	scale (const Vec2< S > &s) noexcept

Static Public Member Functions
constexpr static ATOMSMATH_HOSTDEVICE unsigned int	dimensions () noexcept
	Return the number of the row and column dimensions, i.e. 2.

Numeric Limits
constexpr static ATOMSMATH_HOSTDEVICE T	baseTypeLowest () noexcept
	Largest possible negative value.

constexpr static ATOMSMATH_HOSTDEVICE T	baseTypeMax () noexcept
	Largest possible positive value.

constexpr static ATOMSMATH_HOSTDEVICE T	baseTypeSmallest () noexcept
	Smallest possible positive value.

constexpr static ATOMSMATH_HOSTDEVICE T	baseTypeEpsilon () noexcept
	Smallest possible e for which 1+e != 1.

Public Attributes
Direct access to elements
T	x [2][2]
	Matrix elements.

Detailed Description

template<class T>
class Matrix22< T >

2x2 transformation matrix

Member Typedef Documentation

◆ BaseType

template<class T >

typedef T Matrix22< T >::BaseType

The base type: In templates that accept a parameter V, you can refer to T as V::BaseType

Constructor & Destructor Documentation

◆ Matrix22() [1/4]

template<class T >

ATOMSMATH_CONSTEXPR14 Matrix22< T >::Matrix22

inlinenoexcept

Uninitialized.

Default constructor: initialize to identity

1 0 0 1

◆ Matrix22() [2/4]

template<class T >

ATOMSMATH_CONSTEXPR14 Matrix22< T >::Matrix22 ( T a )

inlinenoexcept

Initialize to scalar constant:

a a a a

◆ Matrix22() [3/4]

template<class T >

ATOMSMATH_CONSTEXPR14 Matrix22< T >::Matrix22 ( const T a[2][2] )

inlinenoexcept

Construct from 2x2 array:

a[0][0] a[0][1] a[1][0] a[1][1]

◆ Matrix22() [4/4]

template<class T >

ATOMSMATH_CONSTEXPR14 Matrix22< T >::Matrix22	(	T	a,
		T	b,
		T	c,
		T	d
	)

inlinenoexcept

Construct from given scalar values:

a b c d

Member Function Documentation

◆ equalWithAbsError()

template<class T >

ATOMSMATH_CONSTEXPR14 bool Matrix22< T >::equalWithAbsError	(	const Matrix22< T > &	v,
		T	e
	)		const

inlinenoexcept

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

◆ equalWithRelError()

template<class T >

ATOMSMATH_CONSTEXPR14 bool Matrix22< T >::equalWithRelError	(	const Matrix22< T > &	v,
		T	e
	)		const

inlinenoexcept

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])

◆ inverse()

template<class T >

ATOMSMATH_CONSTEXPR14 Matrix22< T > Matrix22< T >::inverse ( bool singExc ) const

inline

Return the inverse, leaving this unmodified.

Parameters

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

◆ invert() [1/2]

template<class T >

ATOMSMATH_CONSTEXPR14 const Matrix22< T > & Matrix22< T >::invert

inlinenoexcept

Invert in place

Returns: const reference to this

◆ invert() [2/2]

template<class T >

ATOMSMATH_CONSTEXPR14 const Matrix22< T > & Matrix22< T >::invert ( bool singExc )

inline

Invert in place

Parameters

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

Returns: const reference to this

◆ multDirMatrix()

template<class T >

template<class S >

ATOMSMATH_HOSTDEVICE void Matrix22< T >::multDirMatrix	(	const Vec2< S > &	src,
		Vec2< S > &	dst
	)		const

noexcept

Vector * matrix multiplication

Parameters

[in]	src	Input vector
[out]	dst	transformed vector

◆ rotate()

template<class T >

template<class S >

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22& Matrix22< T >::rotate ( S r )

noexcept

Rotate the given matrix by r (in radians)

Returns: const referenced to this

◆ scale()

template<class T >

template<class S >

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22& Matrix22< T >::scale ( const Vec2< S > & s )

noexcept

Returns: const referenced to this

◆ setRotation()

template<class T >

template<class S >

ATOMSMATH_HOSTDEVICE const Matrix22& Matrix22< T >::setRotation ( S r )

noexcept

Set matrix to rotation by r (in radians)

Returns: const referenced to this

◆ setScale() [1/2]

template<class T >

template<class S >

ATOMSMATH_HOSTDEVICE ATOMSMATH_CONSTEXPR14 const Matrix22& Matrix22< T >::setScale ( const Vec2< S > & s )

noexcept

Set matrix to scale by given vector

Returns: const referenced to this

◆ setScale() [2/2]

template<class T >

ATOMSMATH_CONSTEXPR14 const Matrix22< T > & Matrix22< T >::setScale ( T s )

inlinenoexcept

Set matrix to scale by given uniform factor

Returns: const referenced to this

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

C:/projects/AtomsVFX/Atoms/Public/AtomsMath/ImathMatrix.h

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

template<class T> class Matrix22< T >

Member Typedef Documentation

◆ BaseType

Constructor & Destructor Documentation

◆ Matrix22() [1/4]

◆ Matrix22() [2/4]

◆ Matrix22() [3/4]

◆ Matrix22() [4/4]

Member Function Documentation

◆ equalWithAbsError()

◆ equalWithRelError()

◆ inverse()

◆ invert() [1/2]

◆ invert() [2/2]

◆ multDirMatrix()

◆ rotate()

◆ scale()

◆ setRotation()

◆ setScale() [1/2]

◆ setScale() [2/2]

template<class T>
class Matrix22< T >