lib_math.h File Reference

Detailed Description

high-level mathematical functions

Classes
class	LinearCongruentialRandom< FLOAT >
class	PseudoRandom< FLOAT >

Namespaces
	maxon

Macros
#define	MATH_VECTOR
#define	MATH_COLOR
#define	MATH_MATRIX
#define	MATH_SQUAREMATRIX
#define	MATH_VECTOR2
#define	MATH_MATRIX2
#define	MATH_SQUAREMATRIX2

Typedefs
using	TransformColorDelegate32 = Delegate< Color32(const Color32 &)>
using	TransformColorDelegate64 = Delegate< Color64(const Color64 &)>
using	TransformValueDelegate32 = Delegate< Float32(const Float32 &)>
using	TransformValueDelegate64 = Delegate< Float64(const Float64 &)>
using	TransformColorDelegate = TransformColorDelegate64
using	TransformValueDelegate = TransformValueDelegate64

Enumerations
enum class	ROTATIONORDER {   ZXYGLOBAL ,   ZYXGLOBAL ,   YXZGLOBAL ,   YZXGLOBAL ,   XZYGLOBAL ,   XYZGLOBAL ,   YXZLOCAL ,   XYZLOCAL ,   ZXYLOCAL ,   XZYLOCAL ,   YZXLOCAL ,   ZYXLOCAL }

Functions
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	VectorToSquareMatrix (const Vec3< FLOAT > &dirVector, const Vec3< FLOAT > &upVector)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	CheckedVectorToSquareMatrix (const Vec3< FLOAT > &dirVector, const Vec3< FLOAT > &upVector)
template<typename FLOAT >
Mat3< Vec3< FLOAT > >	VectorToMatrix (const Vec3< FLOAT > &dirVector, const Vec3< FLOAT > &upVector)
template<typename FLOAT >
Mat3< Vec3< FLOAT > >	GetTranslationMatrix (const Vec3< FLOAT > &translation)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	GetScaleMatrix (const Vec3< FLOAT > &scale)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	GetRotationMatrixX (FLOAT angle)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	GetRotationMatrixY (FLOAT angle)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	GetRotationMatrixZ (FLOAT angle)
template<typename FLOAT >
Mat2< Vec2< FLOAT > >	GetTranslationMatrix (const Vec2< FLOAT > &translation)
template<typename FLOAT >
SqrMat2< Vec2< FLOAT > >	GetScaleMatrix (const Vec2< FLOAT > &scale)
template<typename FLOAT >
SqrMat2< Vec2< FLOAT > >	GetRotationMatrix (FLOAT angle)
enum maxon::ROTATIONORDER	MAXON_ENUM_LIST (ROTATIONORDER)
template<typename FLOAT >
Vec3< FLOAT >	GetRotationAngles (const SqrMat3< Vec3< FLOAT >> &m, ROTATIONORDER rotationOrder)
template<typename FLOAT >
Vec3< FLOAT >	GetRotationAngles (const Vec3< FLOAT > &direction, ROTATIONORDER rotationOrder)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	GetRotationMatrix (const Vec3< FLOAT > &rotation, ROTATIONORDER rotationOrder)
template<typename FLOAT >
Mat3< Vec3< FLOAT > >	GetPSRMatrix (const Vec3< FLOAT > &position, const Vec3< FLOAT > &scale, const Vec3< FLOAT > &rotation, ROTATIONORDER rotationOrder)
template<typename FLOAT >
Vec3< FLOAT >	GetOptimumRotation (const Vec3< FLOAT > &oldRotation, const Vec3< FLOAT > &newRotation, ROTATIONORDER rotationOrder)
template<typename FLOAT >
Vec3< FLOAT >	GetClosestPointOnLine (const Vec3< FLOAT > &lineOrigin, const Vec3< FLOAT > &lineDirection, const Vec3< FLOAT > &point)
template<typename FLOAT >
FLOAT	GetPointLineDistance (const Vec3< FLOAT > &lineOrigin, const Vec3< FLOAT > &lineDirection, const Vec3< FLOAT > &point)
template<typename FLOAT >
Vec3< FLOAT >	ReflectRay (const Vec3< FLOAT > &direction, const Vec3< FLOAT > &normal)
template<typename FLOAT >
Vec3< FLOAT >	RGBToHSV (const Col3< FLOAT > &color)
template<typename FLOAT >
Col3< FLOAT >	HSVToRGB (const Vec3< FLOAT > &color)
template<typename FLOAT >
Vec3< FLOAT >	RGBToHSL (const Col3< FLOAT > &color)
template<typename FLOAT >
Col3< FLOAT >	HSLToRGB (const Vec3< FLOAT > &color)
template<typename FLOAT >
void	GetRotationAxis (const SqrMat3< Vec3< FLOAT >> &m, Vec3< FLOAT > &axisVector, FLOAT &axisRotation)
template<typename FLOAT >
SqrMat3< Vec3< FLOAT > >	GetRotationMatrixFromAxis (const Vec3< FLOAT > &axisVector, FLOAT axisRotation)
template<typename MATRIXTYPE >
Bool	IsMatrixRectangular (const MATRIXTYPE &m, typename MATRIXTYPE::ValueType epsilon=1e-10_f)
template<typename ITERABLETYPE >
MAXON_ATTRIBUTE_FORCE_INLINE std::remove_reference< ITERABLETYPE >::type::ValueType	GetSum (ITERABLETYPE &&array)
template<typename ITERABLETYPE >
MAXON_ATTRIBUTE_FORCE_INLINE std::remove_reference< ITERABLETYPE >::type::ValueType	GetAverage (ITERABLETYPE &&array)

Variables
	ZXYGLOBAL
	ZYXGLOBAL
	YXZGLOBAL
	YZXGLOBAL
	XZYGLOBAL
	XYZGLOBAL
	YXZLOCAL
	XYZLOCAL
	ZXYLOCAL
	XZYLOCAL
	YZXLOCAL
	ZYXLOCAL

Variable Documentation

ZXYGLOBAL

ZXYGLOBAL

ZYXGLOBAL

ZYXGLOBAL

YXZGLOBAL

YXZGLOBAL

YZXGLOBAL

YZXGLOBAL

XZYGLOBAL

XZYGLOBAL

XYZGLOBAL

XYZGLOBAL

YXZLOCAL

YXZLOCAL

XYZLOCAL

XYZLOCAL

ZXYLOCAL

ZXYLOCAL

XZYLOCAL

XZYLOCAL

YZXLOCAL

YZXLOCAL

ZYXLOCAL

ZYXLOCAL