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2. C4D R23.110 C++ SDK

Public Types | 公共成员函数 | 静态公共成员函数 | Public Attributes | Friends | 所有成员列表

Mat3< V > Struct Template Reference

Math Library

#include <vector.h>

详细描述

template<typename V>
struct maxon::Mat3< V >

Matrix.

The matrix has a dimension of 4×4 and consists of four rows and four columns. The first row is always "1, 0, 0, 0" and not stored in the class, which means that there are 12 actual numbers used. These numbers are grouped into four vectors, one for the remaining numbers in each column. The four vectors are called off, v1, v2 and v3, together these four vectors can be used to represent the coordinate system. A coordinate system consists of three axes, one for each coordinate (X, Y and Z). The system also has a base position, from which the three axes originate. This base position is stored in off, and the three axis vectors are stored in v1, v2 and v3 respectively. For a rectangular, normalized matrix v3 equals the cross product of v1 and v2 (v1v2). C4D by default uses a left-handed coordinate system (see define COORDINATESYSTEM_LEFT_HANDED).

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	Mat3 ()
constexpr	Mat3 (const V &off_in, const V &v1_in, const V &v2_in, const V &v3_in)
constexpr	Mat3 (const V &off_in, const SqrMat3 < V > &mat_in)
constexpr MAXON_IMPLICIT	Mat3 (const SqrMat3 < V > &mat_in)
template<typename V2 >
constexpr	Mat3 (const Mat3 < V2 > &m)
constexpr	Mat3 ( ENUM_DONT_INITIALIZE v)
template<typename V2 >
constexpr	Mat3 (const Mat2 < V2 > &m)
constexpr void	SetIdentity ()
template<typename V2 >
constexpr Mat3 < typename MultiplicativePromotion < V, typename V2::ValueType >::type >	operator* (const Mat3 < V2 > &m2) const
template<typename V2 >
constexpr Mat3 < 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 Mat3	operator* ( ValueTypeParam s) const
constexpr Mat3	operator/ ( ValueTypeParam s) const
constexpr BoolType	operator== (const Mat3 &other) const
constexpr BoolType	operator!= (const Mat3 &other) const
constexpr Mat3	operator~ () const
constexpr Mat3	GetNormalized () const
String	ToString (const FormatStatement *formatStatement=nullptr) const
constexpr HashInt	GetHashCode () const

静态公共成员函数
static constexpr const Mat3 &	NullValue ()

Public Attributes
V	off
SqrMat3 < V >	sqmat

Friends
constexpr friend Mat3	operator* ( ValueTypeParam s, const Mat3 &m)
constexpr friend Mat3	最小 (const Mat3 &a, const Mat3 &other)
constexpr friend Mat3	最大 (const Mat3 &a, const Mat3 &other)

Member Typedef Documentation

◆  ValueType

using ValueType = typename V::ValueType

◆  ValueTypeParam

◆  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

◆  Mat3() [1/7]

Default constructor, creates an identity matrix.

◆  Mat3() [2/7]

Initializes matrix from individual components.

◆  Mat3() [3/7]

Initializes matrix from individual components.

◆  Mat3() [4/7]

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

◆  Mat3() [5/7]

Initializes matrix from another matrix.

◆  Mat3() [6/7]

Skips initialization of matrix (for better speed)

◆  Mat3() [7/7]

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

成员函数文档编制

◆  SetIdentity()

Sets this matrix to an identity matrix.

◆  operator*() [1/4]

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]

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]

Transforms a point by a matrix.

◆  operator*() [4/4]

Scales all matrix components by a scalar value.

◆  operator/()

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

◆  operator==()

Equality operator.

参数

[in]

other

Comparison matrix.

返回

True if this and other are equal, otherwise false.

◆  operator!=()

Inequality operator.

参数

[in]

other

Comparison matrix.

返回

False if this and other are equal, otherwise true.

◆  operator~()

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

◆  GetNormalized()

Returns this matrix with all axis vectors normalized.

◆  ToString()

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()

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

返回

The matrix' hash code.

◆  NullValue()

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*

Scales all matrix components by a scalar value.

◆  最小

Calculates the minimum of each component.

◆  最大

Calculates the maximum of each component.

Member Data Documentation

◆  off

The translation vector.

◆  sqmat

The 3×3 matrix for rotation, scale and shear.

• maxon
• Mat3