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Mat2< V > Struct Template Reference
Math Library

#include <vector2d.h>

详细描述

template<typename V>
struct maxon::Mat2< V >

General 2d Matrix template. The matrix has a dimension of 3×3 and consists of three rows and three columns. The first row is always "1, 0, 0" and not stored in the class, which means that there are 6 actual numbers used. These numbers are grouped into three vectors, one for the remaining numbers in each column. The three vectors are called off, v1 and v2, together these three vectors can be used to represent the coordinate system. A coordinate system consists of two axes, one for each coordinate (X and Y). The system also has a base position, from which the two axes originate. This base position is stored in off, and the two axis vectors are stored in v1 and v2 respectively

Public Types

using  ValueType = typename V::ValueType
using  ValueTypeParam = typename ByValueParam < ValueType >::type
using  BoolType = typename V::BoolType

公共成员函数

constexpr  Mat2 ()
constexpr  Mat2 (const V &off_in, const V &v1_in, const V &v2_in)
constexpr  Mat2 (const V &off_in, const SqrMat2 < V > &mat_in)
constexpr MAXON_IMPLICIT   Mat2 (const SqrMat2 < V > &mat_in)
template<typename V2 >
constexpr  Mat2 (const Mat2 < V2 > &m)
constexpr  Mat2 ( ENUM_DONT_INITIALIZE v)
constexpr void  SetIdentity ()
template<typename V2 >
constexpr Mat2 < typename MultiplicativePromotion < V, typename V2::ValueType >::type >  operator* (const Mat2 < V2 > &m2) const
template<typename V2 >
constexpr Mat2 < typename MultiplicativePromotion < V, typename V2::ValueType >::type >  operator* (const SqrMat2 < V2 > &m2) const
template<typename T , Int S>
constexpr Vec2 < typename MultiplicativePromotion < ValueType , T >::type, 1 >  operator* (const Vec2 < T, S > &v) const
constexpr Mat2   operator* ( ValueTypeParam s) const
constexpr Mat2   operator/ ( ValueTypeParam s) const
constexpr BoolType   operator== (const Mat2 &other) const
constexpr BoolType   operator!= (const Mat2 &other) const
constexpr Mat2   operator~ () const
constexpr Mat2   GetNormalized () const
String   ToString (const FormatStatement *formatStatement=nullptr) const
constexpr HashInt   GetHashCode () const

静态公共成员函数

static constexpr const Mat2 &  NullValue ()

Public Attributes

V  off
SqrMat2 < V >  sqmat

Friends

constexpr friend Mat2   operator* ( ValueTypeParam s, const Mat2 &m)

Member Typedef Documentation

◆  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.

构造函数 & 析构函数文档编制

◆  Mat2() [1/6]

constexpr Mat2 ( )
constexpr

Default constructor, creates an identity matrix.

◆  Mat2() [2/6]

constexpr Mat2 ( const V &  off_in ,
const V &  v1_in ,
const V &  v2_in  
)
constexpr

Initializes matrix from individual components.

◆  Mat2() [3/6]

constexpr Mat2 ( const V &  off_in ,
const SqrMat2 < V > &  mat_in  
)
constexpr

Initializes matrix from individual components.

◆  Mat2() [4/6]

constexpr MAXON_IMPLICIT Mat2 ( const SqrMat2 < V > &  mat_in )
constexpr

Initializes matrix from square matrix. The translation part is initialized to zero.

◆  Mat2() [5/6]

constexpr Mat2 ( const Mat2 < V2 > &  m )
explicit constexpr

Initializes matrix from another matrix.

◆  Mat2() [6/6]

constexpr Mat2 ( ENUM_DONT_INITIALIZE   v )
explicit constexpr

Skips initialization of matrix (for better speed)

成员函数文档编制

◆  SetIdentity()

constexpr void SetIdentity ( )
constexpr

Sets this matrix to an identity matrix.

◆  operator*() [1/4]

constexpr Mat2 <typename MultiplicativePromotion <V, typename V2::ValueType>::type> operator* ( const Mat2 < 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*() [2/4]

constexpr Mat2 <typename MultiplicativePromotion <V, typename V2::ValueType>::type> operator* ( const SqrMat2 < 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*() [3/4]

constexpr Vec2 <typename MultiplicativePromotion < ValueType , T>::type, 1> operator* ( const Vec2 < T, S > &  v ) const
constexpr

Transforms a point by a matrix.

◆  operator*() [4/4]

constexpr Mat2 operator* ( ValueTypeParam   s ) const
constexpr

Scales all matrix components by a scalar value.

◆  operator/()

constexpr Mat2 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 BoolType operator== ( const Mat2 < V > &  other ) const
constexpr

Equality operator.

参数
[in] other Comparison matrix.
返回
True if this and other are equal, otherwise false.

◆  operator!=()

constexpr BoolType operator!= ( const Mat2 < V > &  other ) const
constexpr

Inequality operator.

参数
[in] other Comparison matrix.
返回
False if this and other are equal, otherwise true.

◆  operator~()

constexpr Mat2 operator~ ( ) const
constexpr

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

◆  GetNormalized()

constexpr Mat2 GetNormalized ( ) const
constexpr

Returns this matrix with all axis vectors normalized.

◆  ToString()

String ToString ( const FormatStatement *  formatStatement = nullptr ) const

Returns a readable string of the content.

参数
[in] formatStatement Nullptr or additional formatting instruction. See also Formatting Floating point values .
返回
The converted result.

◆  GetHashCode()

constexpr HashInt GetHashCode ( ) const
constexpr

Returns the hash code of the matrix (used for hash maps and comparisons).

返回
The matrix' hash code.

◆  NullValue()

static constexpr const Mat2 & NullValue ( )
static constexpr

Returns a null value of the matrix (see nullvalue.h for more details).

返回
A null value of the matrix.

Friends And Related Function Documentation

◆  operator*

constexpr friend Mat2 operator* ( ValueTypeParam   s ,
const Mat2 < V > &  m  
)
friend

Scales all matrix components by a scalar value.

Member Data Documentation

◆  off

V off

The translation vector.

◆  sqmat

SqrMat2 <V> sqmat

The 2×2 matrix for rotation, scale and shear.