lass::prim::Vector3D< T > Struct Template Reference

3D Vector More...

#include <vector_3d.h>

Data Structures
struct	Rebind
Public Types
enum	{ dimension = 3 }
typedef Vector3D< T >	TSelf
typedef util::CallTraits< T > ::TValue	TValue
typedef util::CallTraits< T > ::TParam	TParam
typedef util::CallTraits< T > ::TReference	TReference
typedef util::CallTraits< T > ::TConstReference	TConstReference
typedef num::NumTraits< T >	TNumTraits
Public Member Functions
	Vector3D ()
	Vector3D (TParam x, TParam y, TParam z)
template<typename U >
	Vector3D (const Vector3D< U > &other)
template<typename U >
	Vector3D (const U &x, const U &y, const U &z)
Vector3D::TConstReference	operator[] (size_t index) const
Vector3D::TReference	operator[] (size_t index)
Vector3D::TConstReference	at (signed index) const
	Wrap index around range.
Vector3D::TReference	at (signed index)
	Wrap index around range.
const Vector3D< T > &	operator+ () const
	A weird way to get back the same object.
const Vector3D< T >	operator- () const
Vector3D< T > &	operator+= (const Vector3D< T > &other)
	componentwise addition
Vector3D< T > &	operator-= (const Vector3D< T > &other)
	componentwise subtraction
Vector3D< T > &	operator*= (const Vector3D< T > &other)
	Componentwise multiplication.
Vector3D< T > &	operator/= (const Vector3D< T > &other)
	Componentwise division.
Vector3D< T > &	operator+= (TParam other)
	add other to each component of this.
Vector3D< T > &	operator-= (TParam other)
	subtract other of each component of this.
Vector3D< T > &	operator*= (TParam other)
	multiply each component of this with other.
Vector3D< T > &	operator/= (TParam other)
	divide each component of this by other.
const bool	isZero () const
	Return true if all the components are (exactly!) zero.
const bool	isNaN () const
	Return true if at least one of the components is NaN.
const TValue	squaredNorm () const
	Return squared norm of vector.
const TValue	norm () const
	Return norm of vector.
const Vector3D< T >	normal () const
	return a unit vector with same direction/sense as this vector.
const Vector3D< T >	reciprocal () const
	return the reciprocal version of this vector
const Vector3D< T >	project (const Vector3D< T > &other) const
	Project vector on this one.
const Vector3D< T >	reject (const Vector3D< T > &other) const
	Reject vector from this one.
const Vector3D< T >	reflect (const Vector3D< T > &other) const
const Vector3D< T >	transform (T(*op)(T)) const
	apply a function to every component
void	normalize ()
	Normalize vector.
Static Public Member Functions
template<class RandomGenerator >
static Vector3D< T >	random (RandomGenerator &generator)
	Random unit vector.
Data Fields
TValue	x
TValue	y
TValue	z
Related Functions
(Note that these are not member functions.)
template<typename T >
Vector3D< T >::TValue	dot (const Vector3D< T > &a, const Vector3D< T > &b)
	dot product.
template<typename T >
Vector3D< T >	cross (const Vector3D< T > &a, const Vector3D< T > &b)
	cross product
template<typename T >
bool	operator== (const Vector3D< T > &a, const Vector3D< T > &b)
template<typename T >
bool	operator!= (const Vector3D< T > &a, const Vector3D< T > &b)
template<typename T >
Vector3D< T >	operator+ (const Vector3D< T > &a, const Vector3D< T > &b)
	componentwise addition
template<typename T >
Vector3D< T >	operator- (const Vector3D< T > &a, const Vector3D< T > &b)
	componentwise subtraction
template<typename T >
Vector3D< T >	operator* (const Vector3D< T > &a, const Vector3D< T > &b)
	Componentwise multiplication.
template<typename T >
Vector3D< T >	operator/ (const Vector3D< T > &a, const Vector3D< T > &b)
	Componentwise division.
template<typename T >
Vector3D< T >	operator+ (const Vector3D< T > &a, typename Vector3D< T >::TParam b)
	add b to all components of a.
template<typename T >
Vector3D< T >	operator- (const Vector3D< T > &a, typename Vector3D< T >::TParam b)
	subtract b of all components of a.
template<typename T >
Vector3D< T >	operator* (const Vector3D< T > &a, typename Vector3D< T >::TParam b)
	muliply all components of a by b
template<typename T >
Vector3D< T >	operator/ (const Vector3D< T > &a, typename Vector3D< T >::TParam b)
	divide all components of a by b
template<typename T >
Vector3D< T >	operator+ (typename Vector3D< T >::TParam a, const Vector3D< T > &b)
	add a to all components of b
template<typename T >
Vector3D< T >	operator- (typename Vector3D< T >::TParam a, const Vector3D< T > &b)
	subtract a of all components of b
template<typename T >
Vector3D< T >	operator* (typename Vector3D< T >::TParam a, const Vector3D< T > &b)
	multiply all components of b with a
template<typename T >
Vector3D< T >	pointwiseMin (const Vector3D< T > &a, const Vector3D< T > &b)
	return a vector with, for each coordinate, the minimum value of a and b
template<typename T >
Vector3D< T >	pointwiseMax (const Vector3D< T > &a, const Vector3D< T > &b)
	return a vector with, for each coordinate, the maximum value of a and b
template<typename T >
Vector3D< T >	lerp (const Vector3D< T > &a, const Vector3D< T > &b, typename Vector3D< T >::TParam t)
	interpolate linearly between two vectors: a + t * (b - a)
template<typename T , typename Char , typename Traits >
std::basic_ostream< Char, Traits > &	operator<< (std::basic_ostream< Char, Traits > &stream, const Vector3D< T > &b)
template<typename T , typename Char , typename Traits >
std::basic_istream< Char, Traits > &	operator>> (std::basic_istream< Char, Traits > &stream, Vector3D< T > &b)
template<typename T >
io::XmlOStream &	operator<< (io::XmlOStream &stream, const Vector3D< T > &b)

---

Detailed Description

template<typename T>
struct lass::prim::Vector3D< T >

3D Vector

Author:

BdG

Date:

2003

Definition at line 71 of file vector_3d.h.

---

Member Typedef Documentation

template<typename T >

typedef Vector3D<T> lass::prim::Vector3D< T >::TSelf

Definition at line 73 of file vector_3d.h.

template<typename T >

typedef util::CallTraits<T>::TValue lass::prim::Vector3D< T >::TValue

Definition at line 75 of file vector_3d.h.

template<typename T >

typedef util::CallTraits<T>::TParam lass::prim::Vector3D< T >::TParam

Definition at line 76 of file vector_3d.h.

template<typename T >

typedef util::CallTraits<T>::TReference lass::prim::Vector3D< T >::TReference

Definition at line 77 of file vector_3d.h.

template<typename T >

typedef util::CallTraits<T>::TConstReference lass::prim::Vector3D< T >::TConstReference

Definition at line 78 of file vector_3d.h.

template<typename T >

typedef num::NumTraits<T> lass::prim::Vector3D< T >::TNumTraits

Definition at line 79 of file vector_3d.h.

---

Member Enumeration Documentation

template<typename T >

anonymous enum

Enumerator:

dimension

Definition at line 81 of file vector_3d.h.

---

Constructor & Destructor Documentation

template<typename T >

lass::prim::Vector3D< T >::Vector3D

(

)

[inline]

Definition at line 65 of file vector_3d.inl.

Referenced by lass::prim::Vector3D< T >::operator-().

template<typename T >

lass::prim::Vector3D< T >::Vector3D	(	TParam	x,
		TParam	y,
		TParam	z
	)			[inline]

Definition at line 75 of file vector_3d.inl.

template<typename T >

template<typename U >

lass::prim::Vector3D< T >::Vector3D

(

const Vector3D< U > &

other

)

[inline, explicit]

Definition at line 86 of file vector_3d.inl.

template<typename T >

template<typename U >

lass::prim::Vector3D< T >::Vector3D	(	const U &	x,
		const U &	y,
		const U &	z
	)			[inline]

Definition at line 97 of file vector_3d.inl.

---

Member Function Documentation

template<typename T >

Vector3D< T >::TConstReference lass::prim::Vector3D< T >::operator[]

(

size_t

index

)

const [inline]

Definition at line 107 of file vector_3d.inl.

References lass::prim::Vector3D< T >::dimension, LASS_ASSERT, and lass::prim::Vector3D< T >::x.

template<typename T >

Vector3D< T >::TReference lass::prim::Vector3D< T >::operator[]

(

size_t

index

)

[inline]

Definition at line 116 of file vector_3d.inl.

References lass::prim::Vector3D< T >::dimension, LASS_ASSERT, and lass::prim::Vector3D< T >::x.

template<typename T >

Vector3D< T >::TConstReference lass::prim::Vector3D< T >::at

(

signed

index

)

const [inline]

Wrap index around range.

Definition at line 127 of file vector_3d.inl.

References lass::prim::Vector3D< T >::dimension, lass::num::mod(), and lass::prim::Vector3D< T >::x.

template<typename T >

Vector3D< T >::TReference lass::prim::Vector3D< T >::at

(

signed

index

)

[inline]

Wrap index around range.

Definition at line 137 of file vector_3d.inl.

References lass::prim::Vector3D< T >::dimension, lass::num::mod(), and lass::prim::Vector3D< T >::x.

template<typename T >

const Vector3D< T > & lass::prim::Vector3D< T >::operator+

(

)

const [inline]

A weird way to get back the same object.

Definition at line 147 of file vector_3d.inl.

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::operator-

(

)

const [inline]

Definition at line 155 of file vector_3d.inl.

References lass::prim::Vector3D< T >::Vector3D(), lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator+=

(

const Vector3D< T > &

other

)

[inline]

componentwise addition

Definition at line 165 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator-=

(

const Vector3D< T > &

other

)

[inline]

componentwise subtraction

Definition at line 178 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator*=

(

const Vector3D< T > &

other

)

[inline]

Componentwise multiplication.

Definition at line 191 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator/=

(

const Vector3D< T > &

other

)

[inline]

Componentwise division.

Definition at line 204 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator+=

(

TParam

other

)

[inline]

add other to each component of this.

Definition at line 217 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator-=

(

TParam

other

)

[inline]

subtract other of each component of this.

Definition at line 230 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator*=

(

TParam

other

)

[inline]

multiply each component of this with other.

Definition at line 243 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > & lass::prim::Vector3D< T >::operator/=

(

TParam

other

)

[inline]

divide each component of this by other.

Definition at line 256 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

const bool lass::prim::Vector3D< T >::isZero

(

)

const [inline]

Return true if all the components are (exactly!) zero.

Definition at line 269 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, lass::prim::Vector3D< T >::z, and lass::num::NumTraits< C >::zero.

Referenced by lass::prim::Ray3D< T, NormalizingPolicy, ParameterPolicy >::isValid(), lass::prim::impl::Plane3DCombined< T, NormalizingPolicy >::isValid(), lass::prim::impl::Plane3DCartesian< T, NormalizingPolicy >::isValid(), lass::prim::Line3D< T, NormalizingPolicy >::isValid(), lass::prim::Line3D< T, NormalizingPolicy >::Line3D(), lass::prim::Ray3D< T, NormalizingPolicy, ParameterPolicy >::Ray3D(), and lass::prim::TriangleMesh3D< T, BoundingVolumeHierarchy, SplitHeuristics >::smoothNormals().

template<typename T >

const bool lass::prim::Vector3D< T >::isNaN

(

)

const [inline]

Return true if at least one of the components is NaN.

Definition at line 279 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

Referenced by lass::prim::TriangleMesh3D< T, BoundingVolumeHierarchy, SplitHeuristics >::smoothNormals().

template<typename T >

const Vector3D< T >::TValue lass::prim::Vector3D< T >::squaredNorm

(

)

const [inline]

Return squared norm of vector.

Definition at line 289 of file vector_3d.inl.

References lass::prim::Vector3D< T >::dot().

Referenced by lass::prim::Sphere3D< T >::equation(), lass::prim::impl::Plane3DImplDetail::generateReciprocal(), lass::prim::Vector3D< T >::norm(), lass::prim::Vector3D< T >::project(), and lass::prim::Point2D< T >::squaredDistance().

template<typename T >

const Vector3D< T >::TValue lass::prim::Vector3D< T >::norm

(

)

const [inline]

Return norm of vector.

Definition at line 299 of file vector_3d.inl.

References sqrt(), and lass::prim::Vector3D< T >::squaredNorm().

Referenced by lass::prim::TriangleMesh3D< T, BoundingVolumeHierarchy, SplitHeuristics >::area(), lass::prim::Aabb3D< T, MinMaxPolicy >::boundingSphere(), lass::prim::Point3D< T >::distance(), lass::prim::LineSegment3D< T, ParameterPolicy >::length(), lass::prim::Vector3D< T >::normalize(), and lass::prim::Parallelogram3D< T >::perimeter().

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::normal

(

)

const [inline]

return a unit vector with same direction/sense as this vector.

The normalized vector of X is a vector in the same direction but with norm (length) 1. It is denoted X^ and given by X^ = X / |X|, http://mathworld.wolfram.com/NormalizedVector.html.

Definition at line 313 of file vector_3d.inl.

References lass::prim::Vector3D< T >::normalize().

Referenced by lass::prim::Transformation3D< T >::rotation(), lass::prim::SimplePolygon3D< T, PlaneEquationPolicy, PlaneNormalizingPolicy >::signedArea(), and lass::prim::SimplePolygon3D< T, PlaneEquationPolicy, PlaneNormalizingPolicy >::surfaceCentroid().

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::reciprocal

(

)

const [inline]

return the reciprocal version of this vector

Definition at line 325 of file vector_3d.inl.

References lass::num::NumTraits< C >::one.

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::project

(

const Vector3D< T > &

other

)

const [inline]

Project vector on this one.

Definition at line 337 of file vector_3d.inl.

References lass::prim::Vector3D< T >::dot(), and lass::prim::Vector3D< T >::squaredNorm().

Referenced by lass::prim::Vector3D< T >::reflect(), and lass::prim::Vector3D< T >::reject().

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::reject

(

const Vector3D< T > &

other

)

const [inline]

Reject vector from this one.

Definition at line 350 of file vector_3d.inl.

References lass::prim::Vector3D< T >::project().

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::reflect

(

const Vector3D< T > &

other

)

const [inline]

Definition at line 358 of file vector_3d.inl.

References lass::prim::Vector3D< T >::project().

template<typename T >

const Vector3D< T > lass::prim::Vector3D< T >::transform

(

T(*)(T)

op

)

const [inline]

apply a function to every component

Definition at line 368 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

Referenced by lass::prim::Plane3D< T, EquationPolicy, NormalizingPolicy >::majorAxis().

template<typename T >

void lass::prim::Vector3D< T >::normalize

(

)

[inline]

Normalize vector.

Definition at line 378 of file vector_3d.inl.

References lass::prim::Vector3D< T >::norm().

Referenced by lass::prim::Vector3D< T >::normal(), and lass::prim::TriangleMesh3D< T, BoundingVolumeHierarchy, SplitHeuristics >::smoothNormals().

template<typename T >

template<class RandomGenerator >

Vector3D< T > lass::prim::Vector3D< T >::random

(

RandomGenerator &

generator

)

[inline, static]

Random unit vector.

Definition at line 389 of file vector_3d.inl.

References lass::prim::cos(), lass::num::NumTraits< C >::one, lass::num::NumTraits< C >::pi, lass::num::sin(), lass::num::sqr(), sqrt(), lass::prim::Vector3D< T >::z, and lass::num::NumTraits< C >::zero.

---

Friends And Related Function Documentation

template<typename T >

Vector3D< T >::TValue dot	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

dot product.

Definition at line 409 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

Referenced by lass::prim::Vector3D< T >::project(), and lass::prim::Vector3D< T >::squaredNorm().

template<typename T >

Vector3D< T > cross	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

cross product

Definition at line 420 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

bool operator==	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

Definition at line 432 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

bool operator!=	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

Definition at line 442 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator+	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

componentwise addition

Definition at line 453 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator-	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

componentwise subtraction

Definition at line 466 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator*	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

Componentwise multiplication.

Definition at line 479 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator/	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

Componentwise division.

Definition at line 492 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator+	(	const Vector3D< T > &	a,
		typename Vector3D< T >::TParam	b
	)			[related]

add b to all components of a.

Definition at line 505 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator-	(	const Vector3D< T > &	a,
		typename Vector3D< T >::TParam	b
	)			[related]

subtract b of all components of a.

Definition at line 518 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator*	(	const Vector3D< T > &	a,
		typename Vector3D< T >::TParam	b
	)			[related]

muliply all components of a by b

Definition at line 531 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator/	(	const Vector3D< T > &	a,
		typename Vector3D< T >::TParam	b
	)			[related]

divide all components of a by b

Definition at line 544 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator+	(	typename Vector3D< T >::TParam	a,
		const Vector3D< T > &	b
	)			[related]

add a to all components of b

Definition at line 557 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator-	(	typename Vector3D< T >::TParam	a,
		const Vector3D< T > &	b
	)			[related]

subtract a of all components of b

Definition at line 570 of file vector_3d.inl.

template<typename T >

Vector3D< T > operator*	(	typename Vector3D< T >::TParam	a,
		const Vector3D< T > &	b
	)			[related]

multiply all components of b with a

Definition at line 583 of file vector_3d.inl.

template<typename T >

Vector3D< T > pointwiseMin	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

return a vector with, for each coordinate, the minimum value of a and b

Definition at line 596 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > pointwiseMax	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b
	)			[related]

return a vector with, for each coordinate, the maximum value of a and b

Definition at line 607 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

Vector3D< T > lerp	(	const Vector3D< T > &	a,
		const Vector3D< T > &	b,
		typename Vector3D< T >::TParam	t
	)			[related]

interpolate linearly between two vectors: a + t * (b - a)

Definition at line 618 of file vector_3d.inl.

template<typename T , typename Char , typename Traits >

std::basic_ostream< Char, Traits > & operator<<	(	std::basic_ostream< Char, Traits > &	stream,
		const Vector3D< T > &	b
	)			[related]

Definition at line 632 of file vector_3d.inl.

References LASS_ENFORCE_STREAM, lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T , typename Char , typename Traits >

std::basic_istream< Char, Traits > & operator>>	(	std::basic_istream< Char, Traits > &	stream,
		Vector3D< T > &	b
	)			[related]

Definition at line 644 of file vector_3d.inl.

References lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

template<typename T >

io::XmlOStream & operator<<	(	io::XmlOStream &	stream,
		const Vector3D< T > &	b
	)			[related]

Definition at line 690 of file vector_3d.inl.

References LASS_ENFORCE_STREAM.

---

Field Documentation

template<typename T >

TValue lass::prim::Vector3D< T >::x

Definition at line 91 of file vector_3d.h.

Referenced by lass::prim::Aabb3D< T, MinMaxPolicy >::area(), lass::prim::Vector3D< T >::at(), lass::prim::SimplePolygon3D< T, PlaneEquationPolicy, PlaneNormalizingPolicy >::clip(), lass::prim::Aabb3D< T, MinMaxPolicy >::collides(), lass::prim::Vector3D< T >::cross(), lass::prim::Vector3D< T >::dot(), lass::prim::impl::Plane3DImplDetail::generateDirections(), lass::prim::TriangleMesh3D< T, BoundingVolumeHierarchy, SplitHeuristics >::Triangle::intersect(), lass::prim::Aabb3D< T, MinMaxPolicy >::intersects(), lass::prim::Vector3D< T >::isNaN(), lass::prim::Vector3D< T >::isZero(), lass::prim::Plane3D< T, EquationPolicy, NormalizingPolicy >::majorAxis(), lass::prim::Transformation3D< T >::normalTransform(), lass::prim::Vector3D< T >::operator*=(), lass::prim::Vector3D< T >::operator+=(), lass::prim::Vector3D< T >::operator-(), lass::prim::Vector3D< T >::operator-=(), lass::prim::Vector3D< T >::operator/=(), lass::prim::Vector3D< T >::operator<<(), lass::prim::Vector3D< T >::operator==(), lass::prim::Vector3D< T >::operator>>(), lass::prim::Vector3D< T >::operator[](), lass::prim::Vector3D< T >::pointwiseMax(), lass::prim::Vector3D< T >::pointwiseMin(), lass::prim::Transformation3D< T >::rotation(), lass::prim::Transformation3D< T >::scaler(), lass::prim::Vector3D< T >::transform(), lass::prim::Transformation3D< T >::transform(), lass::prim::Transformation3D< T >::Transformation3D(), lass::prim::Transformation3D< T >::translation(), and lass::prim::Aabb3D< T, MinMaxPolicy >::volume().

template<typename T >

TValue lass::prim::Vector3D< T >::y

Definition at line 92 of file vector_3d.h.

Referenced by lass::prim::Aabb3D< T, MinMaxPolicy >::area(), lass::prim::SimplePolygon3D< T, PlaneEquationPolicy, PlaneNormalizingPolicy >::clip(), lass::prim::Aabb3D< T, MinMaxPolicy >::collides(), lass::prim::Vector3D< T >::cross(), lass::prim::Vector3D< T >::dot(), lass::prim::impl::Plane3DImplDetail::generateDirections(), lass::prim::TriangleMesh3D< T, BoundingVolumeHierarchy, SplitHeuristics >::Triangle::intersect(), lass::prim::Aabb3D< T, MinMaxPolicy >::intersects(), lass::prim::Vector3D< T >::isNaN(), lass::prim::Vector3D< T >::isZero(), lass::prim::Plane3D< T, EquationPolicy, NormalizingPolicy >::majorAxis(), lass::prim::Transformation3D< T >::normalTransform(), lass::prim::Vector3D< T >::operator*=(), lass::prim::Vector3D< T >::operator+=(), lass::prim::Vector3D< T >::operator-(), lass::prim::Vector3D< T >::operator-=(), lass::prim::Vector3D< T >::operator/=(), lass::prim::Vector3D< T >::operator<<(), lass::prim::Vector3D< T >::operator==(), lass::prim::Vector3D< T >::operator>>(), lass::prim::Vector3D< T >::pointwiseMax(), lass::prim::Vector3D< T >::pointwiseMin(), lass::prim::Transformation3D< T >::rotation(), lass::prim::Transformation3D< T >::scaler(), lass::prim::Vector3D< T >::transform(), lass::prim::Transformation3D< T >::transform(), lass::prim::Transformation3D< T >::Transformation3D(), lass::prim::Transformation3D< T >::translation(), and lass::prim::Aabb3D< T, MinMaxPolicy >::volume().

template<typename T >

TValue lass::prim::Vector3D< T >::z

Definition at line 93 of file vector_3d.h.

Referenced by lass::prim::Aabb3D< T, MinMaxPolicy >::area(), lass::prim::SimplePolygon3D< T, PlaneEquationPolicy, PlaneNormalizingPolicy >::clip(), lass::prim::Aabb3D< T, MinMaxPolicy >::collides(), lass::prim::Vector3D< T >::cross(), lass::prim::Vector3D< T >::dot(), lass::prim::impl::Plane3DImplDetail::generateDirections(), lass::prim::Aabb3D< T, MinMaxPolicy >::intersects(), lass::prim::Vector3D< T >::isNaN(), lass::prim::Vector3D< T >::isZero(), lass::prim::Plane3D< T, EquationPolicy, NormalizingPolicy >::majorAxis(), lass::prim::Transformation3D< T >::normalTransform(), lass::prim::Vector3D< T >::operator*=(), lass::prim::Vector3D< T >::operator+=(), lass::prim::Vector3D< T >::operator-(), lass::prim::Vector3D< T >::operator-=(), lass::prim::Vector3D< T >::operator/=(), lass::prim::Vector3D< T >::operator<<(), lass::prim::Vector3D< T >::operator==(), lass::prim::Vector3D< T >::operator>>(), lass::prim::Vector3D< T >::pointwiseMax(), lass::prim::Vector3D< T >::pointwiseMin(), lass::prim::Vector3D< T >::random(), lass::prim::Transformation3D< T >::rotation(), lass::prim::Transformation3D< T >::scaler(), lass::prim::Vector3D< T >::transform(), lass::prim::Transformation3D< T >::transform(), lass::prim::Transformation3D< T >::Transformation3D(), lass::prim::Transformation3D< T >::translation(), and lass::prim::Aabb3D< T, MinMaxPolicy >::volume().

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

• vector_3d.h
• vector_3d.inl