#include <matrix.h>

Detailed Description

template<typename V>
struct maxon::SqrMat3< V >

General 3×3 matrix template consisting of three column vectors v1, v2, v3.

Public Types
using	VectorStrideType = typename V::VectorStrideType

using	ValueType = typename V::ValueType

using	ValueTypeParam = typename ByValueParam< ValueType >::type

using	BoolType = typename V::BoolType

Public Member Functions
constexpr	SqrMat3 ()

constexpr	SqrMat3 (const V &v1_in, const V &v2_in, const V &v3_in)

template<typename V2 >
constexpr	SqrMat3 (const SqrMat3< V2 > &m)

constexpr	SqrMat3 (ENUM_DONT_INITIALIZE v)

template<typename V2 >
constexpr	SqrMat3 (const SqrMat2< V2 > &m)

void	SetIdentity ()

V &	operator[] (Int idx)

const V &	operator[] (Int idx) const

template<typename V2 >
constexpr SqrMat3< typename MultiplicativePromotion< V, typename V2::ValueType >::type >	operator* (const SqrMat3< V2 > &m2) const

template<typename T , Int S>
constexpr Vec3< typename MultiplicativePromotion< ValueType, T >::type, 1 >	operator* (const Vec3< T, S > &v) const

constexpr SqrMat3	operator* (ValueTypeParam s) const

constexpr SqrMat3	operator/ (ValueTypeParam s) const

constexpr SqrMat3	operator+ (const SqrMat3 &m2) const

constexpr SqrMat3	operator- (const SqrMat3 &m2) const

constexpr BoolType	operator== (const SqrMat3 &other) const

constexpr BoolType	operator!= (const SqrMat3 &other) const

constexpr ValueType	Det () const

constexpr SqrMat3	operator~ () const

constexpr void	Normalize ()

constexpr SqrMat3	GetNormalized () const

constexpr SqrMat3	GetTransposed () const

constexpr V	GetScale () const

constexpr SqrMat3	GetTensorMatrix () const

constexpr SqrMat3 &	operator*= (const V &v)

constexpr SqrMat3 &	operator*= (ValueTypeParam r)

String	ToString (const FormatStatement *formatStatement=nullptr) const

constexpr	MAXON_OPERATOR_HASH (SqrMat3, v1, v2, v3)

Public Attributes
V	v1

V	v2

V	v3

Friends
constexpr friend SqrMat3	operator* (ValueTypeParam s, const SqrMat3 &m)

Member Typedef Documentation

◆ VectorStrideType

using VectorStrideType = typename V::VectorStrideType

◆ ValueType

using ValueType = typename V::ValueType

◆ ValueTypeParam

using ValueTypeParam = typename ByValueParam<ValueType>::type

◆ BoolType

using BoolType = typename V::BoolType

The type returned by comparisons. If the template argument for V is a vector of SIMD components, this will be a SIMD type, too, which contains the per-element results.

Constructor & Destructor Documentation

◆ SqrMat3() [1/5]

constexpr SqrMat3 ( )

constexpr

Default constructor, creates an identity matrix.

◆ SqrMat3() [2/5]

constexpr SqrMat3	(	const V &	v1_in,
		const V &	v2_in,
		const V &	v3_in
	)

constexpr

Initializes matrix from individual components.

◆ SqrMat3() [3/5]

constexpr SqrMat3 ( const SqrMat3< V2 > & m )

explicitconstexpr

Initializes matrix from another matrix.

◆ SqrMat3() [4/5]

constexpr SqrMat3 ( ENUM_DONT_INITIALIZE v )

explicitconstexpr

Skips initialization of matrix (for better speed)

◆ SqrMat3() [5/5]

constexpr SqrMat3 ( const SqrMat2< V2 > & m )

explicitconstexpr

Initializes matrix from 2d matrix. v3 is assigned Cross(v1, v2).GetNormalized()

Member Function Documentation

◆ SetIdentity()

void SetIdentity ( )

Sets this matrix to an identity matrix.

◆ operator[]() [1/2]

V& operator[] ( Int idx )

Array (subscript) operator for index access to the matrix components.

Parameters

[in] idx Element index (if it's out of bounds you will get an error in debug code only, otherwise it will crash).

Returns: Matrix component.

◆ operator[]() [2/2]

const V& operator[] ( Int idx ) const

Array (subscript) operator for const index access to the matrix components.

Parameters

[in] idx Element index (if it's out of bounds you will get an error in debug code only, otherwise it will crash).

Returns: Matrix component.

◆ operator*() [1/3]

constexpr SqrMat3<typename MultiplicativePromotion<V, typename V2::ValueType>::type> operator* ( const SqrMat3< V2 > & m2 ) const

constexpr

Multiplies two matrices. The rule is m1 AFTER m2 If you transform a point with the result matrix this is identical to first transforming with m2 and then with m1

◆ operator*() [2/3]

constexpr Vec3<typename MultiplicativePromotion<ValueType, T>::type, 1> operator* ( const Vec3< T, S > & v ) const

constexpr

Transforms a vector by a matrix.

◆ operator*() [3/3]

constexpr SqrMat3 operator* ( ValueTypeParam s ) const

constexpr

Scales all matrix components by a scalar value.

◆ operator/()

constexpr SqrMat3 operator/ ( ValueTypeParam s ) const

constexpr

Divides all matrix components by a scalar value. If s is 0.0 an identity matrix will be returned.

◆ operator+()

constexpr SqrMat3 operator+ ( const SqrMat3< V > & m2 ) const

constexpr

Adds two matrices component-wise.

◆ operator-()

constexpr SqrMat3 operator- ( const SqrMat3< V > & m2 ) const

constexpr

Subtracts two matrices component-wise.

◆ operator==()

constexpr BoolType operator== ( const SqrMat3< V > & other ) const

constexpr

Equality operator.

Parameters

[in] other Comparison matrix.

Returns: True if this and other are equal, otherwise false.

◆ operator!=()

constexpr BoolType operator!= ( const SqrMat3< V > & other ) const

constexpr

Inequality operator.

Parameters

[in] other Comparison matrix.

Returns: False if this and other are equal, otherwise true.

◆ Det()

constexpr ValueType Det ( ) const

constexpr

Computes the determinant of this matrix.

◆ operator~()

constexpr SqrMat3 operator~ ( ) const

constexpr

Calculates the inverse matrix If no inverse can be calculated the result is the Identity matrix

◆ Normalize()

constexpr void Normalize ( )

constexpr

Normalizes the length of all three axes.

◆ GetNormalized()

constexpr SqrMat3 GetNormalized ( ) const

constexpr

Returns this matrix with all axis vectors normalized.

◆ GetTransposed()

constexpr SqrMat3 GetTransposed ( ) const

constexpr

Returns the transposed matrix.

◆ GetScale()

constexpr V GetScale ( ) const

constexpr

◆ GetTensorMatrix()

constexpr SqrMat3 GetTensorMatrix ( ) const

constexpr

Calculates the tensor matrix which allows to transform normal vectors for non-orthogonal matrices. The tensor matrix T of a matrix M is given by T = inverse(transpose(M)) * det(M), and its computation is faster than that of the inverse transpose. To transform a normal with a normalized result, use the formula transformedNormal = !(matrix.GetTensorMatrix() * normal).

◆ operator*=() [1/2]

constexpr SqrMat3& operator*= ( const V & v )

constexpr

Scales each axis by the respective components of the passed vector.

◆ operator*=() [2/2]

constexpr SqrMat3& operator*= ( ValueTypeParam r )

constexpr

Scales each axis by the scalar.

◆ ToString()

String ToString ( const FormatStatement * formatStatement = nullptr ) const

Returns a readable string of the content.

Parameters

[in] formatStatement Nullptr or additional formatting instruction. See also Formatting Floating point values.

Returns: The converted result.

◆ MAXON_OPERATOR_HASH()

constexpr MAXON_OPERATOR_HASH	(	SqrMat3< V >	,
		v1	,
		v2	,
		v3
	)

constexpr

Friends And Related Function Documentation

◆ operator*

constexpr friend SqrMat3 operator*	(	ValueTypeParam	s,
		const SqrMat3< V > &	m
	)

friend

Scales all matrix components by a scalar value.

Member Data Documentation

◆ v1

V v1

The X axis.

◆ v2

V v2

The Y axis.

◆ v3

V v3

The Z axis.

Detailed Description

template<typename V> struct maxon::SqrMat3< V >

Public Types

Public Member Functions

Public Attributes

Friends

Member Typedef Documentation

◆ VectorStrideType

◆ ValueType

◆ ValueTypeParam

◆ BoolType

Constructor & Destructor Documentation

◆ SqrMat3() [1/5]

◆ SqrMat3() [2/5]

◆ SqrMat3() [3/5]

◆ SqrMat3() [4/5]

◆ SqrMat3() [5/5]

Member Function Documentation

◆ SetIdentity()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator/()

◆ operator+()

◆ operator-()

◆ operator==()

◆ operator!=()

◆ Det()

◆ operator~()

◆ Normalize()

◆ GetNormalized()

◆ GetTransposed()

◆ GetScale()

◆ GetTensorMatrix()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ ToString()

◆ MAXON_OPERATOR_HASH()

Friends And Related Function Documentation

◆ operator*

Member Data Documentation

◆ v1

◆ v2

◆ v3

template<typename V>
struct maxon::SqrMat3< V >