Vector in 3D space. More...

#include <plask/vector/3d.hpp>

Collaboration diagram for plask::Vec< 3, T >:

Public Types
typedef T *	iterator
	Type of iterator over components.

typedef const T *	const_iterator
	Type of const iterator over components.

Public Member Functions
T &	lon ()

constexpr const T &	lon () const

T &	tran ()

constexpr const T &	tran () const

T &	vert ()

constexpr const T &	vert () const

T &	rad_p ()

constexpr const T &	rad_p () const

T &	rad_r ()

constexpr const T &	rad_r () const

T &	rad_z ()

constexpr const T &	rad_z () const

T &	se_x ()

constexpr const T &	se_x () const

T &	se_y ()

constexpr const T &	se_y () const

T &	se_z ()

constexpr const T &	se_z () const

T &	zup_x ()

constexpr const T &	z_up_x () const

T &	zup_y ()

constexpr const T &	z_up_y () const

T &	zup_z ()

constexpr const T &	z_up_z () const

T &	ee_z ()

constexpr const T &	ee_z () const

T &	ee_x ()

constexpr const T &	ee_x () const

T &	ee_y ()

constexpr const T &	ee_y () const

T &	yup_z ()

constexpr const T &	y_up_z () const

T &	yup_x ()

constexpr const T &	y_up_x () const

T &	yup_y ()

constexpr const T &	y_up_y () const

	Vec ()
	Construct uninitialized vector.

template<typename OtherT >
constexpr	Vec (const Vec< 3, OtherT > &p)
	Copy constructor from all other 2D vectors.

constexpr	Vec (const T &c0__lon, const T &c1__tran, const T &c2__up)
	Construct vector with given components.

template<typename T0 , typename T1 , typename T2 >
constexpr	Vec (const std::tuple< T0, T1, T2 > &comp)
	Construct vector components given in std::tuple.

iterator	begin ()
	Get begin iterator over components.

const_iterator	begin () const
	Get begin const iterator over components.

iterator	end ()
	Get end iterator over components.

const_iterator	end () const
	Get end const iterator over components.

template<typename OtherT >
constexpr bool	operator== (const Vec< 3, OtherT > &p) const
	Compare two vectors, `this` and `p`.

template<typename OtherT , typename SuprType >
constexpr bool	equals (const Vec< 3, OtherT > &p, const SuprType &abs_supremum) const
	Check if two vectors, this and `p` are almost equal.

template<typename OtherT >
constexpr bool	equals (const Vec< 3, OtherT > &p) const
	Check if two vectors, this and `p` are almost equal.

template<typename OtherT >
constexpr bool	operator!= (const Vec< 3, OtherT > &p) const
	Compare two vectors, `this` and `p`.

T &	operator[] (size_t i)
	Get i-th component WARNING This function does not check if it is valid (for efficiency reasons)

const T &	operator[] (size_t i) const
	Get i-th component WARNING This function does not check if it is valid (for efficiency reasons)

template<typename OtherT >
constexpr auto	operator+ (const Vec< 3, OtherT > &other) const -> Vec< 3, decltype(c0+other.c0)>
	Calculate sum of two vectors, `this` and `other`.

Vec< 3, T > &	operator+= (const Vec< 3, T > &other)
	Increase coordinates of this vector by coordinates of other vector `other`.

template<typename OtherT >
constexpr auto	operator- (const Vec< 3, OtherT > &other) const -> Vec< 3, decltype(c0 - other.c0)>
	Calculate difference of two vectors, `this` and `other`.

Vec< 3, T > &	operator-= (const Vec< 3, T > &other)
	Decrease coordinates of this vector by coordinates of other vector `other`.

template<typename OtherT >
constexpr auto	operator* (const OtherT scale) const -> Vec< 3, decltype(c0 *scale)>
	Calculate this vector multiplied by scalar `scale`.

Vec< 3, T > &	operator*= (const T scalar)
	Multiple coordinates of this vector by `scalar`.

constexpr Vec< 3, T >	operator/ (const T scalar) const
	Calculate this vector divided by `scalar`.

Vec< 3, T > &	operator/= (const T scalar)
	Divide coordinates of this vector by `scalar`.

constexpr Vec< 3, T >	operator- () const
	Calculate vector opposite to this.

Vec< 3, T >	sqr () const
	Square each component of tensor.

Vec< 3, T > &	sqr_inplace ()
	Square each component of tensor in place.

Vec< 3, T >	sqrt () const
	Square root of each component of tensor.

Vec< 3, T > &	sqrt_inplace ()
	Square root of each component of tensor in place.

template<typename OtherT >
Vec< 3, T >	pow (OtherT a) const
	Power of each component of tensor.

void	flip (size_t i)
	Change i-th coordinate to oposite.

Vec< 3, T >	flipped (size_t i)
	Get vector similar to this but with changed i-th component to oposite.

template<class OT >
bool	operator< (Vec< 3, OT > const &v) const
	A lexical comparison of two vectors, allow to use vector in std::set and std::map as key type.

Static Public Member Functions
template<typename InputIteratorType >
static Vec< 3, T >	fromIterator (InputIteratorType inputIt)
	Construct vector with components read from input iterator (including C array).

Public Attributes
T	c0
	Vector components.

T	c1

T	c2

Static Public Attributes
static const int	DIMS = 3

Friends
std::ostream &	operator<< (std::ostream &out, const Vec< 3, T > &to_print)
	Print vector to stream using format (where c0, c1 and c2 are vector coordinates): [c0, c1, c2].

Detailed Description

template<typename T>
struct plask::Vec< 3, T >

Vector in 3D space.

Definition at line 37 of file 3d.hpp.

Member Typedef Documentation

◆ const_iterator

template<typename T >

typedef const T* plask::Vec< 3, T >::const_iterator

Type of const iterator over components.

Definition at line 111 of file 3d.hpp.

◆ iterator

template<typename T >

typedef T* plask::Vec< 3, T >::iterator

Type of iterator over components.

Definition at line 106 of file 3d.hpp.

Constructor & Destructor Documentation

◆ Vec() [1/4]

template<typename T >

plask::Vec< 3, T >::Vec ( )

inline

Construct uninitialized vector.

Definition at line 114 of file 3d.hpp.

◆ Vec() [2/4]

template<typename T >

template<typename OtherT >

constexpr plask::Vec< 3, T >::Vec ( const Vec< 3, OtherT > & p )

inlineconstexpr

Copy constructor from all other 2D vectors.

Parameters

p	vector to copy from

Definition at line 121 of file 3d.hpp.

◆ Vec() [3/4]

template<typename T >

constexpr plask::Vec< 3, T >::Vec	(	const T &	c0__lon,
		const T &	c1__tran,
		const T &	c2__up
	)

inlineconstexpr

Construct vector with given components.

Parameters

c0__lon,c1__tran,c2__up components

Definition at line 127 of file 3d.hpp.

◆ Vec() [4/4]

template<typename T >

template<typename T0 , typename T1 , typename T2 >

constexpr plask::Vec< 3, T >::Vec ( const std::tuple< T0, T1, T2 > & comp )

inlineconstexpr

Construct vector components given in std::tuple.

Parameters

comp	components

Definition at line 134 of file 3d.hpp.

Member Function Documentation

◆ begin() [1/2]

template<typename T >

iterator plask::Vec< 3, T >::begin ( )

inline

Get begin iterator over components.

Returns: begin iterator over components

Definition at line 154 of file 3d.hpp.

◆ begin() [2/2]

template<typename T >

const_iterator plask::Vec< 3, T >::begin ( ) const

inline

Get begin const iterator over components.

Returns: begin const iterator over components

Definition at line 160 of file 3d.hpp.

◆ ee_x() [1/2]

template<typename T >

T & plask::Vec< 3, T >::ee_x ( )

inline

Definition at line 87 of file 3d.hpp.

◆ ee_x() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::ee_x ( ) const

inlineconstexpr

Definition at line 88 of file 3d.hpp.

◆ ee_y() [1/2]

template<typename T >

T & plask::Vec< 3, T >::ee_y ( )

inline

Definition at line 90 of file 3d.hpp.

◆ ee_y() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::ee_y ( ) const

inlineconstexpr

Definition at line 91 of file 3d.hpp.

◆ ee_z() [1/2]

template<typename T >

T & plask::Vec< 3, T >::ee_z ( )

inline

Definition at line 84 of file 3d.hpp.

◆ ee_z() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::ee_z ( ) const

inlineconstexpr

Definition at line 85 of file 3d.hpp.

◆ end() [1/2]

template<typename T >

iterator plask::Vec< 3, T >::end ( )

inline

Get end iterator over components.

Returns: end iterator over components

Definition at line 166 of file 3d.hpp.

◆ end() [2/2]

template<typename T >

const_iterator plask::Vec< 3, T >::end ( ) const

inline

Get end const iterator over components.

Returns: end const iterator over components

Definition at line 172 of file 3d.hpp.

◆ equals() [1/2]

template<typename T >

template<typename OtherT >

constexpr bool plask::Vec< 3, T >::equals ( const Vec< 3, OtherT > & p ) const

inlineconstexpr

Check if two vectors, this and p are almost equal.

Parameters

p	vector to compare

Returns: true only if this vector and p have almost equals coordinates

Definition at line 198 of file 3d.hpp.

◆ equals() [2/2]

template<typename T >

template<typename OtherT , typename SuprType >

constexpr bool plask::Vec< 3, T >::equals	(	const Vec< 3, OtherT > &	p,
		const SuprType &	abs_supremum
	)		const

inlineconstexpr

Check if two vectors, this and p are almost equal.

Parameters

p	vector to compare
abs_supremum	maximal allowed difference for one coordinate

Returns: true only if this vector and p have almost equals coordinates

Definition at line 189 of file 3d.hpp.

◆ flip()

template<typename T >

void plask::Vec< 3, T >::flip ( size_t i )

inline

Change i-th coordinate to oposite.

WARNING This function does not check if it is valid (for efficiency reasons)

Parameters

i	number of coordinate

Definition at line 375 of file 3d.hpp.

◆ flipped()

template<typename T >

Vec< 3, T > plask::Vec< 3, T >::flipped ( size_t i )

inline

Get vector similar to this but with changed i-th component to oposite.

WARNING This function does not check if it is valid (for efficiency reasons)

Parameters

i	number of coordinate

Returns: vector similar to this but with changed i-th component to oposite

Definition at line 386 of file 3d.hpp.

◆ fromIterator()

template<typename T >

template<typename InputIteratorType >

static Vec< 3, T > plask::Vec< 3, T >::fromIterator ( InputIteratorType inputIt )

inlinestatic

Construct vector with components read from input iterator (including C array).

Parameters

inputIt input iterator with minimum 3 objects available

Template Parameters

InputIteratorType input iterator type, must allow for postincrementation and dereference operation

Definition at line 142 of file 3d.hpp.

◆ lon() [1/2]

template<typename T >

T & plask::Vec< 3, T >::lon ( )

inline

Definition at line 44 of file 3d.hpp.

◆ lon() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::lon ( ) const

inlineconstexpr

Definition at line 45 of file 3d.hpp.

◆ operator!=()

template<typename T >

template<typename OtherT >

constexpr bool plask::Vec< 3, T >::operator!= ( const Vec< 3, OtherT > & p ) const

inlineconstexpr

Compare two vectors, this and p.

Parameters

p	vector to compare

Returns: true only if this vector and p don't have equals coordinates

Definition at line 208 of file 3d.hpp.

◆ operator*()

template<typename T >

template<typename OtherT >

constexpr auto plask::Vec< 3, T >::operator* ( const OtherT scale ) const -> Vec<3,decltype(c0*scale)>

inlineconstexpr

Calculate this vector multiplied by scalar scale.

Parameters

scale scalar

Returns: this vector multiplied by scalar

Definition at line 282 of file 3d.hpp.

◆ operator*=()

template<typename T >

Vec< 3, T > & plask::Vec< 3, T >::operator*= ( const T scalar )

inline

Multiple coordinates of this vector by scalar.

Parameters

scalar scalar

Returns: *this (after scale)

Definition at line 293 of file 3d.hpp.

◆ operator+()

template<typename T >

template<typename OtherT >

constexpr auto plask::Vec< 3, T >::operator+ ( const Vec< 3, OtherT > & other ) const -> Vec<3,decltype(c0 + other.c0)>

inlineconstexpr

Calculate sum of two vectors, this and other.

Parameters

other vector to add, can have different data type (than result type will be found using C++ types promotions rules)

Returns: vectors sum

Definition at line 238 of file 3d.hpp.

◆ operator+=()

template<typename T >

Vec< 3, T > & plask::Vec< 3, T >::operator+= ( const Vec< 3, T > & other )

inline

Increase coordinates of this vector by coordinates of other vector other.

Parameters

other vector to add

Returns: *this (after increase)

Definition at line 247 of file 3d.hpp.

◆ operator-() [1/2]

template<typename T >

constexpr Vec< 3, T > plask::Vec< 3, T >::operator- ( ) const

inlineconstexpr

Calculate vector opposite to this.

Returns: Vec<3,T>(-c0, -c1, -c2)

Definition at line 323 of file 3d.hpp.

◆ operator-() [2/2]

template<typename T >

template<typename OtherT >

constexpr auto plask::Vec< 3, T >::operator- ( const Vec< 3, OtherT > & other ) const -> Vec<3,decltype(c0 - other.c0)>

inlineconstexpr

Calculate difference of two vectors, this and other.

Parameters

other vector to subtract from this, can have different data type (than result type will be found using C++ types promotions rules)

Returns: vectors difference

Definition at line 260 of file 3d.hpp.

◆ operator-=()

template<typename T >

Vec< 3, T > & plask::Vec< 3, T >::operator-= ( const Vec< 3, T > & other )

inline

Decrease coordinates of this vector by coordinates of other vector other.

Parameters

other vector to subtract

Returns: *this (after decrease)

Definition at line 269 of file 3d.hpp.

◆ operator/()

template<typename T >

constexpr Vec< 3, T > plask::Vec< 3, T >::operator/ ( const T scalar ) const

inlineconstexpr

Calculate this vector divided by scalar.

Parameters

scalar scalar

Returns: this vector divided by scalar

Definition at line 305 of file 3d.hpp.

◆ operator/=()

template<typename T >

Vec< 3, T > & plask::Vec< 3, T >::operator/= ( const T scalar )

inline

Divide coordinates of this vector by scalar.

Parameters

scalar scalar

Returns: *this (after divide)

Definition at line 312 of file 3d.hpp.

◆ operator<()

template<typename T >

template<class OT >

bool plask::Vec< 3, T >::operator< ( Vec< 3, OT > const & v ) const

inline

A lexical comparison of two vectors, allow to use vector in std::set and std::map as key type.

It supports NaN-s (which, due to this method, is greater than all other numbers).

Parameters

v	vectors to compare

Returns: true only if this is smaller than the v

Definition at line 410 of file 3d.hpp.

◆ operator==()

template<typename T >

template<typename OtherT >

constexpr bool plask::Vec< 3, T >::operator== ( const Vec< 3, OtherT > & p ) const

inlineconstexpr

Compare two vectors, this and p.

Parameters

p	vector to compare

Returns: true only if this vector and p have equals coordinates

Definition at line 180 of file 3d.hpp.

◆ operator[]() [1/2]

template<typename T >

T & plask::Vec< 3, T >::operator[] ( size_t i )

inline

Get i-th component WARNING This function does not check if it is valid (for efficiency reasons)

Parameters

i	number of coordinate

Returns: i-th component

Definition at line 216 of file 3d.hpp.

◆ operator[]() [2/2]

template<typename T >

const T & plask::Vec< 3, T >::operator[] ( size_t i ) const

inline

Get i-th component WARNING This function does not check if it is valid (for efficiency reasons)

Parameters

i	number of coordinate

Returns: i-th component

Definition at line 227 of file 3d.hpp.

◆ pow()

template<typename T >

template<typename OtherT >

Vec< 3, T > plask::Vec< 3, T >::pow ( OtherT a ) const

inline

Power of each component of tensor.

Returns: squared tensor

Definition at line 366 of file 3d.hpp.

◆ rad_p() [1/2]

template<typename T >

T & plask::Vec< 3, T >::rad_p ( )

inline

Definition at line 54 of file 3d.hpp.

◆ rad_p() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::rad_p ( ) const

inlineconstexpr

Definition at line 55 of file 3d.hpp.

◆ rad_r() [1/2]

template<typename T >

T & plask::Vec< 3, T >::rad_r ( )

inline

Definition at line 57 of file 3d.hpp.

◆ rad_r() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::rad_r ( ) const

inlineconstexpr

Definition at line 58 of file 3d.hpp.

◆ rad_z() [1/2]

template<typename T >

T & plask::Vec< 3, T >::rad_z ( )

inline

Definition at line 60 of file 3d.hpp.

◆ rad_z() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::rad_z ( ) const

inlineconstexpr

Definition at line 61 of file 3d.hpp.

◆ se_x() [1/2]

template<typename T >

T & plask::Vec< 3, T >::se_x ( )

inline

Definition at line 64 of file 3d.hpp.

◆ se_x() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::se_x ( ) const

inlineconstexpr

Definition at line 65 of file 3d.hpp.

◆ se_y() [1/2]

template<typename T >

T & plask::Vec< 3, T >::se_y ( )

inline

Definition at line 67 of file 3d.hpp.

◆ se_y() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::se_y ( ) const

inlineconstexpr

Definition at line 68 of file 3d.hpp.

◆ se_z() [1/2]

template<typename T >

T & plask::Vec< 3, T >::se_z ( )

inline

Definition at line 70 of file 3d.hpp.

◆ se_z() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::se_z ( ) const

inlineconstexpr

Definition at line 71 of file 3d.hpp.

◆ sqr()

template<typename T >

Vec< 3, T > plask::Vec< 3, T >::sqr ( ) const

inline

Square each component of tensor.

Returns: squared tensor

Definition at line 331 of file 3d.hpp.

◆ sqr_inplace()

template<typename T >

Vec< 3, T > & plask::Vec< 3, T >::sqr_inplace ( )

inline

Square each component of tensor in place.

Returns: *this (squared)

Definition at line 339 of file 3d.hpp.

◆ sqrt()

template<typename T >

Vec< 3, T > plask::Vec< 3, T >::sqrt ( ) const

inline

Square root of each component of tensor.

Returns: squared tensor

Definition at line 348 of file 3d.hpp.

◆ sqrt_inplace()

template<typename T >

Vec< 3, T > & plask::Vec< 3, T >::sqrt_inplace ( )

inline

Square root of each component of tensor in place.

Returns: *this (squared)

Definition at line 356 of file 3d.hpp.

◆ tran() [1/2]

template<typename T >

T & plask::Vec< 3, T >::tran ( )

inline

Definition at line 47 of file 3d.hpp.

◆ tran() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::tran ( ) const

inlineconstexpr

Definition at line 48 of file 3d.hpp.

◆ vert() [1/2]

template<typename T >

T & plask::Vec< 3, T >::vert ( )

inline

Definition at line 50 of file 3d.hpp.

◆ vert() [2/2]

template<typename T >

constexpr const T & plask::Vec< 3, T >::vert ( ) const

inlineconstexpr

Definition at line 51 of file 3d.hpp.

◆ y_up_x()

template<typename T >

constexpr const T & plask::Vec< 3, T >::y_up_x ( ) const

inlineconstexpr

Definition at line 98 of file 3d.hpp.

◆ y_up_y()

template<typename T >

constexpr const T & plask::Vec< 3, T >::y_up_y ( ) const

inlineconstexpr

Definition at line 101 of file 3d.hpp.

◆ y_up_z()

template<typename T >

constexpr const T & plask::Vec< 3, T >::y_up_z ( ) const

inlineconstexpr

Definition at line 95 of file 3d.hpp.

◆ yup_x()

template<typename T >

T & plask::Vec< 3, T >::yup_x ( )

inline

Definition at line 97 of file 3d.hpp.

◆ yup_y()

template<typename T >

T & plask::Vec< 3, T >::yup_y ( )

inline

Definition at line 100 of file 3d.hpp.

◆ yup_z()

template<typename T >

T & plask::Vec< 3, T >::yup_z ( )

inline

Definition at line 94 of file 3d.hpp.

◆ z_up_x()

template<typename T >

constexpr const T & plask::Vec< 3, T >::z_up_x ( ) const

inlineconstexpr

Definition at line 75 of file 3d.hpp.

◆ z_up_y()

template<typename T >

constexpr const T & plask::Vec< 3, T >::z_up_y ( ) const

inlineconstexpr

Definition at line 78 of file 3d.hpp.

◆ z_up_z()

template<typename T >

constexpr const T & plask::Vec< 3, T >::z_up_z ( ) const

inlineconstexpr

Definition at line 81 of file 3d.hpp.

◆ zup_x()

template<typename T >

T & plask::Vec< 3, T >::zup_x ( )

inline

Definition at line 74 of file 3d.hpp.

◆ zup_y()

template<typename T >

T & plask::Vec< 3, T >::zup_y ( )

inline

Definition at line 77 of file 3d.hpp.

◆ zup_z()

template<typename T >

T & plask::Vec< 3, T >::zup_z ( )

inline

Definition at line 80 of file 3d.hpp.

Friends And Related Symbol Documentation

◆ operator<<

template<typename T >

std::ostream & operator<<	(	std::ostream &	out,
		const Vec< 3, T > &	to_print
	)

friend

Print vector to stream using format (where c0, c1 and c2 are vector coordinates): [c0, c1, c2].

Parameters

out	print destination, output stream
to_print	vector to print

Returns: out stream

Definition at line 398 of file 3d.hpp.

Member Data Documentation

◆ c0

template<typename T >

T plask::Vec< 3, T >::c0

Vector components.

Definition at line 42 of file 3d.hpp.

◆ c1

template<typename T >

T plask::Vec< 3, T >::c1

Definition at line 42 of file 3d.hpp.

◆ c2

template<typename T >

T plask::Vec< 3, T >::c2

Definition at line 42 of file 3d.hpp.

◆ DIMS

template<typename T >

const int plask::Vec< 3, T >::DIMS = 3

static

Definition at line 39 of file 3d.hpp.

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

plask/vector/3d.hpp

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ const_iterator

◆ iterator

Constructor & Destructor Documentation

◆ Vec() [1/4]

◆ Vec() [2/4]

◆ Vec() [3/4]

◆ Vec() [4/4]

Member Function Documentation

◆ begin() [1/2]

◆ begin() [2/2]

◆ ee_x() [1/2]

◆ ee_x() [2/2]

◆ ee_y() [1/2]

◆ ee_y() [2/2]

◆ ee_z() [1/2]

◆ ee_z() [2/2]

◆ end() [1/2]

◆ end() [2/2]

◆ equals() [1/2]

◆ equals() [2/2]

◆ flip()

◆ flipped()

◆ fromIterator()

◆ lon() [1/2]

◆ lon() [2/2]

◆ operator!=()

◆ operator*()

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator<()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ pow()

◆ rad_p() [1/2]

◆ rad_p() [2/2]

◆ rad_r() [1/2]

◆ rad_r() [2/2]

◆ rad_z() [1/2]

◆ rad_z() [2/2]

◆ se_x() [1/2]

◆ se_x() [2/2]

◆ se_y() [1/2]

◆ se_y() [2/2]

◆ se_z() [1/2]

◆ se_z() [2/2]

◆ sqr()

◆ sqr_inplace()

◆ sqrt()

◆ sqrt_inplace()

◆ tran() [1/2]

◆ tran() [2/2]

◆ vert() [1/2]

◆ vert() [2/2]

◆ y_up_x()

◆ y_up_y()

◆ y_up_z()

◆ yup_x()

◆ yup_y()

◆ yup_z()

◆ z_up_x()

◆ z_up_y()

◆ z_up_z()

◆ zup_x()

◆ zup_y()

◆ zup_z()