#include <Mat3.h>

Public Member Functions
	Mat3t ()
	Construct the identity matrix.
	Mat3t (T m11, T m12, T m13, T m21, T m22, T m23, T m31, T m32, T m33)
	Construct from 9 elements (column-major order).
	Mat3t (const std::array< T, 9 > &e)
	Construct from a raw array of 9 elements.
	Mat3t (const Vec3t< T > &e1, const Vec3t< T > &e2, const Vec3t< T > &e3)
	Construct from three column vectors.
	Mat3t (const Mat3t &other)
	Copy-construct from another matrix.
const std::string	toString () const
	String representation (pretty-printed rows).
	operator T* (void)
	Implicit conversion to raw pointer (non-const).
	operator const T * (void) const
	Implicit conversion to raw pointer (const).
Mat3t	operator* (T scalar) const
	Component-wise multiplication by scalar.
Mat3t	operator+ (T scalar) const
	Component-wise addition of scalar.
Mat3t	operator- (T scalar) const
	Component-wise subtraction of scalar.
Mat3t	operator/ (T scalar) const
	Component-wise division by scalar.
Mat3t	operator* (const Mat3t &other) const
	Matrix–matrix product (column-major; standard linear algebra).
Vec3t< T >	operator* (const Vec3t< T > &other) const
	Transform a 3D vector.

Static Public Member Functions
static Mat3t	scaling (const Vec3t< T > &scale)
	Non-uniform scaling by components of `scale`.
static Mat3t	scaling (T x, T y, T z)
	Non-uniform scaling by components.
static Mat3t	rotationX (T degree)
	Rotation about the X-axis by `degree` (degrees).
static Mat3t	rotationY (T degree)
	Rotation about the Y-axis by `degree` (degrees).
static Mat3t	rotationZ (T degree)
	Rotation about the Z-axis by `degree` (degrees).
static Mat3t	transpose (const Mat3t &m)
	Transpose of a 3×3 matrix.
static T	det (const Mat3t &m)
	Determinant of a 3×3 matrix.
static Mat3t	inverse (const Mat3t &m, T det)
	Matrix inverse with precomputed determinant.
static Mat3t	inverse (const Mat3t &m)
	Matrix inverse computed via adjugate and determinant.

Friends
std::ostream &	operator<< (std::ostream &os, const Mat3t &m)
	Stream insertion using toString().

Constructor & Destructor Documentation

◆ Mat3t() [1/5]

template<typename T>

Mat3t< T >::Mat3t ( )

inline

Construct the identity matrix.

◆ Mat3t() [2/5]

template<typename T>

Mat3t< T >::Mat3t	(	T	m11,
		T	m12,
		T	m13,
		T	m21,
		T	m22,
		T	m23,
		T	m31,
		T	m32,
		T	m33 )

inline

Construct from 9 elements (column-major order).

Parameters

m11..m33 Elements of the matrix in column-major order.

◆ Mat3t() [3/5]

template<typename T>

Mat3t< T >::Mat3t ( const std::array< T, 9 > & e )

inline

Construct from a raw array of 9 elements.

Parameters

e	Array in column-major order.

◆ Mat3t() [4/5]

template<typename T>

Mat3t< T >::Mat3t	(	const Vec3t< T > &	e1,
		const Vec3t< T > &	e2,
		const Vec3t< T > &	e3 )

inline

Construct from three column vectors.

Parameters

e1	First column (x,y,z).
e2	Second column (x,y,z).
e3	Third column (x,y,z).

◆ Mat3t() [5/5]

template<typename T>

Mat3t< T >::Mat3t ( const Mat3t< T > & other )

inline

Copy-construct from another matrix.

Member Function Documentation

◆ det()

template<typename T>

T Mat3t< T >::det ( const Mat3t< T > & m )

inlinestatic

Determinant of a 3×3 matrix.

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◆ inverse() [1/2]

template<typename T>

Mat3t Mat3t< T >::inverse ( const Mat3t< T > & m )

inlinestatic

Matrix inverse computed via adjugate and determinant.

Parameters

m	Input matrix.

Returns: Inverse of m (determinant computed internally).

◆ inverse() [2/2]

template<typename T>

Mat3t Mat3t< T >::inverse	(	const Mat3t< T > &	m,
		T	det )

inlinestatic

Matrix inverse with precomputed determinant.

Parameters

m	Input matrix.
det	Determinant of `m`.

Returns: Inverse of m.

Warning: No zero-check is performed; caller must ensure det ≠ 0.

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◆ operator const T *()

template<typename T>

Mat3t< T >::operator const T * ( void ) const

inline

Implicit conversion to raw pointer (const).

Returns: Const pointer to the underlying e[0].

◆ operator T*()

template<typename T>

Mat3t< T >::operator T* ( void )

inline

Implicit conversion to raw pointer (non-const).

Returns: Pointer to the underlying e[0].

Warning: Exposes internal layout; use with care.

◆ operator*() [1/3]

template<typename T>

Mat3t Mat3t< T >::operator* ( const Mat3t< T > & other ) const

inline

Matrix–matrix product (column-major; standard linear algebra).

◆ operator*() [2/3]

template<typename T>

Vec3t< T > Mat3t< T >::operator* ( const Vec3t< T > & other ) const

inline

Transform a 3D vector.

◆ operator*() [3/3]

template<typename T>

Mat3t Mat3t< T >::operator* ( T scalar ) const

inline

Component-wise multiplication by scalar.

◆ operator+()

template<typename T>

Mat3t Mat3t< T >::operator+ ( T scalar ) const

inline

Component-wise addition of scalar.

◆ operator-()

template<typename T>

Mat3t Mat3t< T >::operator- ( T scalar ) const

inline

Component-wise subtraction of scalar.

◆ operator/()

template<typename T>

Mat3t Mat3t< T >::operator/ ( T scalar ) const

inline

Component-wise division by scalar.

◆ rotationX()

template<typename T>

Mat3t Mat3t< T >::rotationX ( T degree )

inlinestatic

Rotation about the X-axis by degree (degrees).

◆ rotationY()

template<typename T>

Mat3t Mat3t< T >::rotationY ( T degree )

inlinestatic

Rotation about the Y-axis by degree (degrees).

◆ rotationZ()

template<typename T>

Mat3t Mat3t< T >::rotationZ ( T degree )

inlinestatic

Rotation about the Z-axis by degree (degrees).

◆ scaling() [1/2]

template<typename T>

Mat3t Mat3t< T >::scaling ( const Vec3t< T > & scale )

inlinestatic

Non-uniform scaling by components of scale.

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◆ scaling() [2/2]

template<typename T>

Mat3t Mat3t< T >::scaling	(	T	x,
		T	y,
		T	z )

inlinestatic

Non-uniform scaling by components.

◆ toString()

template<typename T>

const std::string Mat3t< T >::toString ( ) const

inline

String representation (pretty-printed rows).

Returns: New string describing the matrix.

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◆ transpose()

template<typename T>

Mat3t Mat3t< T >::transpose ( const Mat3t< T > & m )

inlinestatic

Transpose of a 3×3 matrix.

◆ operator<<

template<typename T>

std::ostream & operator<<	(	std::ostream &	os,
		const Mat3t< T > &	m )

friend

Stream insertion using toString().

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

Mat3.h

Public Member Functions

Static Public Member Functions

Friends

Constructor & Destructor Documentation

◆ Mat3t() [1/5]

◆ Mat3t() [2/5]

◆ Mat3t() [3/5]

◆ Mat3t() [4/5]

◆ Mat3t() [5/5]

Member Function Documentation

◆ det()

◆ inverse() [1/2]

◆ inverse() [2/2]

◆ operator const T *()

◆ operator T*()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator+()

◆ operator-()

◆ operator/()

◆ rotationX()

◆ rotationY()

◆ rotationZ()

◆ scaling() [1/2]

◆ scaling() [2/2]

◆ toString()

◆ transpose()

Friends And Related Symbol Documentation

◆ operator<<