cgv::math::fvec< T, N > Class Template Reference

A vector with zero based index. More...

#include <fvec.h>

Inheritance diagram for cgv::math::fvec< T, N >:

Public Types
enum	{ dims = N }
	compile-time constant indicating the dimensionality of the vector More...
typedef T	value_type
typedef T &	reference
typedef const T &	const_reference
typedef std::size_t	size_type
typedef std::ptrdiff_t	difference_type
typedef T *	pointer
typedef const T *	const_pointer
typedef T *	iterator
typedef const T *	const_iterator
typedef std::reverse_iterator< iterator >	reverse_iterator
typedef std::reverse_iterator< const_iterator >	const_reverse_iterator

Public Member Functions
iterator	begin ()
iterator	end ()
const_iterator	begin () const
const_iterator	end () const
reverse_iterator	rbegin ()
reverse_iterator	rend ()
const_reverse_iterator	rbegin () const
const_reverse_iterator	rend () const
	reverse iterator pointing to the end of reverse iteration
	fvec ()
	creates a vector not initialized
	fvec (const T &a)
	creates a vector, where all N components are initialized to the constant value a
	fvec (const T &x, const T &y)
	construct and init first two coordinates to the given values
	fvec (const T &x, const T &y, const T &z)
	construct and init first three coordinates to the given values
	fvec (const T &x, const T &y, const T &z, const T &w)
	construct and init first four coordinates to the given values
	fvec (cgv::type::uint32_type n, const T *a)
	creates a vector from a n-element array a, if n < N remaining N-n elements are set to zero
template<typename S >
	fvec (cgv::type::uint32_type n, const S *a)
	creates a column vector initialized to array of a different type with zeros filled to not copied components
	fvec (const fvec< T, N > &rhs)
	copy constructor
template<typename S >
	fvec (const fvec< S, N > &fv)
	copies a column vector of a different type
template<typename S1 , typename S2 >
	fvec (const fvec< S1, N - 1 > &fv, S2 w)
	construct from vector of one dimension less plus a scalar
template<typename S >
	fvec (const fvec< S, N+1 > &fv)
	construct from vector of one dimension higher by cutting of the highest dimension
	fvec (const std::array< T, N > &arr)
	construct from std::array of same size
fvec &	operator= (const fvec< T, N > &rhs)
	assign vector rhs, if vector and rhs have different sizes, vector has been resized to match the size of
fvec &	operator= (const T &a)
	set all components of vector to constant value a
void	assign (const std::array< T, N > &arr)
	set to the contents of the given std::array with same size
void	set (const T &x, const T &y)
	set the first two components
void	set (const T &x, const T &y, const T &z)
	set the first three components
void	set (const T &x, const T &y, const T &z, const T &w)
	set the first four components
void	fill (const T &a)
	fill elements of vector with scalar v
void	zeros ()
	fill the vector with zeros
void	zerosh ()
	fill the vector with zeros except for the last component, which will be set to one
void	ones ()
	fill the vector with ones
fvec< T, N+1 >	lift () const
	convert to homogeneous version by adding a 1
vec< T >	to_vec () const
	conversion to vector type
T &	x ()
	first element
const T &	x () const
	first element of const vector
T &	y ()
	second element
const T &	y () const
	second element of const vector
T &	z ()
	third element
const T &	z () const
	third element of const vector
T &	w ()
	fourth element
const T &	w () const
	fourth element of const vector
T &	operator() (const int i)
	access i'th element
const T &	operator() (const int i) const
	access i'th element of const vector
T &	operator[] (const int i)
	access i'th element
const T &	operator[] (const int i) const
	access i'th element of const vector
T *	data ()
	cast into array. This allows calls like glVertex<N><T>v(p.data()) instead of glVertex<N><T,N>(p.x(),p.y(),....)
const T *	data () const
	cast into const array
fvec< T, N > &	operator+= (const T &s)
	in place addition of a scalar s
fvec< T, N > &	operator-= (const T &s)
	in place subtraction by scalar s
fvec< T, N > &	operator*= (const T &s)
	in place multiplication with s
fvec< T, N > &	operator/= (const T &s)
	in place division by scalar s
template<typename S >
fvec< T, N > &	operator+= (const fvec< S, N > &_v)
	in place vector addition
template<typename S >
fvec< T, N > &	operator-= (const fvec< S, N > &_v)
	in place vector subtraction
template<typename S >
fvec< T, N > &	operator*= (const fvec< S, N > &_v)
	in place componentwise vector multiplication
template<typename S >
fvec< T, N > &	operator/= (const fvec< S, N > &_v)
	in place componentwise vector division
template<typename S >
fvec< T, N >	operator+ (const fvec< S, N > &v) const
	vector addition
fvec< T, N >	operator+ (const T &s) const
	componentwise addition of scalar
fvec< T, N >	operator- (const T &s) const
	componentwise subtraction of scalar
template<typename S >
fvec< T, N >	operator- (const fvec< S, N > &v) const
	vector subtraction
template<typename S >
fvec< T, N >	operator* (const fvec< S, N > &v) const
	componentwise vector multiplication
template<typename S >
fvec< T, N >	operator/ (const fvec< S, N > &v) const
	componentwise vector division
fvec< T, N >	operator- (void) const
	negates the vector
fvec< T, N >	operator* (const T &s) const
	multiplication with scalar s
fvec< T, N >	operator/ (const T &s) const
	divides vector by scalar s
template<typename S >
bool	operator== (const fvec< S, N > &v) const
	test for equality
template<typename S >
bool	operator!= (const fvec< S, N > &v) const
	test for inequality
T	length () const
	length of the vector L2-Norm
void	sign ()
	componentwise sign values
void	step (const fvec< T, N > &r)
	componentwise sign values
void	abs ()
	componentwise absolute values
void	ceil ()
	ceil componentwise
void	floor ()
	floor componentwise
void	round ()
	round componentwise
T	sqr_length () const
	square length of vector
T	normalize ()
	normalize the vector using the L2-Norm and return the length
T	safe_normalize ()
	normalize the vector if length is not zero using the L2-Norm and return the length

Static Public Member Functions
static fvec< T, N >	zeroh ()
	creates a homogeneous zero-vector (yields same result as calling fvec<T,N-1>(0).lift() but is faster)
static fvec< T, N >	from_vec (const vec< T > &)
	conversion from vector
static cgv::type::uint32_type	size ()
	return number of elements

Protected Attributes
T	v [N]

Detailed Description

template<typename T, cgv::type::uint32_type N>
class cgv::math::fvec< T, N >

A vector with zero based index.

Definition at line 26 of file fvec.h.

Member Typedef Documentation

const_iterator

template<typename T , cgv::type::uint32_type N>

typedef const T* cgv::math::fvec< T, N >::const_iterator

Definition at line 51 of file fvec.h.

const_pointer

template<typename T , cgv::type::uint32_type N>

typedef const T* cgv::math::fvec< T, N >::const_pointer

Definition at line 47 of file fvec.h.

const_reference

template<typename T , cgv::type::uint32_type N>

typedef const T& cgv::math::fvec< T, N >::const_reference

Definition at line 39 of file fvec.h.

const_reverse_iterator

template<typename T , cgv::type::uint32_type N>

typedef std::reverse_iterator<const_iterator> cgv::math::fvec< T, N >::const_reverse_iterator

Definition at line 55 of file fvec.h.

difference_type

template<typename T , cgv::type::uint32_type N>

typedef std::ptrdiff_t cgv::math::fvec< T, N >::difference_type

Definition at line 43 of file fvec.h.

iterator

template<typename T , cgv::type::uint32_type N>

typedef T* cgv::math::fvec< T, N >::iterator

Definition at line 49 of file fvec.h.

pointer

template<typename T , cgv::type::uint32_type N>

typedef T* cgv::math::fvec< T, N >::pointer

Definition at line 45 of file fvec.h.

reference

template<typename T , cgv::type::uint32_type N>

typedef T& cgv::math::fvec< T, N >::reference

Definition at line 37 of file fvec.h.

reverse_iterator

template<typename T , cgv::type::uint32_type N>

typedef std::reverse_iterator<iterator> cgv::math::fvec< T, N >::reverse_iterator

Definition at line 53 of file fvec.h.

size_type

template<typename T , cgv::type::uint32_type N>

typedef std::size_t cgv::math::fvec< T, N >::size_type

Definition at line 41 of file fvec.h.

value_type

template<typename T , cgv::type::uint32_type N>

typedef T cgv::math::fvec< T, N >::value_type

Definition at line 35 of file fvec.h.

Member Enumeration Documentation

anonymous enum

template<typename T , cgv::type::uint32_type N>

anonymous enum

compile-time constant indicating the dimensionality of the vector

Definition at line 59 of file fvec.h.

Constructor & Destructor Documentation

fvec() [1/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( )

inline

creates a vector not initialized

Definition at line 84 of file fvec.h.

fvec() [2/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( const T &  a )

inline

creates a vector, where all N components are initialized to the constant value a

Definition at line 86 of file fvec.h.

fvec() [3/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( const T &  x, const T &  y  )

inline

construct and init first two coordinates to the given values

Definition at line 88 of file fvec.h.

References cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::x(), and cgv::math::fvec< T, N >::y().

fvec() [4/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( const T &  x, const T &  y, const T &  z  )

inline

construct and init first three coordinates to the given values

Definition at line 90 of file fvec.h.

References cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::x(), cgv::math::fvec< T, N >::y(), and cgv::math::fvec< T, N >::z().

fvec() [5/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( const T &  x, const T &  y, const T &  z, const T &  w  )

inline

construct and init first four coordinates to the given values

Definition at line 92 of file fvec.h.

References cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::w(), cgv::math::fvec< T, N >::x(), cgv::math::fvec< T, N >::y(), and cgv::math::fvec< T, N >::z().

fvec() [6/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( cgv::type::uint32_type  n, const T *  a  )

inline

creates a vector from a n-element array a, if n < N remaining N-n elements are set to zero

Definition at line 94 of file fvec.h.

fvec() [7/12]

template<typename T , cgv::type::uint32_type N>

template<typename S >

cgv::math::fvec< T, N >::fvec ( cgv::type::uint32_type  n, const S *  a  )

inline

creates a column vector initialized to array of a different type with zeros filled to not copied components

Definition at line 101 of file fvec.h.

fvec() [8/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( const fvec< T, N > &  rhs )

inline

copy constructor

Definition at line 107 of file fvec.h.

fvec() [9/12]

template<typename T , cgv::type::uint32_type N>

template<typename S >

cgv::math::fvec< T, N >::fvec ( const fvec< S, N > &  fv )

inline

copies a column vector of a different type

Definition at line 110 of file fvec.h.

fvec() [10/12]

template<typename T , cgv::type::uint32_type N>

template<typename S1 , typename S2 >

cgv::math::fvec< T, N >::fvec ( const fvec< S1, N - 1 > &  fv, S2  w  )

inline

construct from vector of one dimension less plus a scalar

Definition at line 113 of file fvec.h.

References cgv::math::fvec< T, N >::w().

fvec() [11/12]

template<typename T , cgv::type::uint32_type N>

template<typename S >

cgv::math::fvec< T, N >::fvec ( const fvec< S, N+1 > &  fv )

inline

construct from vector of one dimension higher by cutting of the highest dimension

Definition at line 116 of file fvec.h.

fvec() [12/12]

template<typename T , cgv::type::uint32_type N>

cgv::math::fvec< T, N >::fvec ( const std::array< T, N > &  arr )

inline

construct from std::array of same size

Definition at line 118 of file fvec.h.

Member Function Documentation

abs()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::abs ( )

inline

componentwise absolute values

Definition at line 268 of file fvec.h.

assign()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::assign ( const std::array< T, N > &  arr )

inline

set to the contents of the given std::array with same size

Definition at line 124 of file fvec.h.

begin() [1/2]

template<typename T , cgv::type::uint32_type N>

iterator cgv::math::fvec< T, N >::begin ( )

inline

Definition at line 64 of file fvec.h.

begin() [2/2]

template<typename T , cgv::type::uint32_type N>

const_iterator cgv::math::fvec< T, N >::begin ( ) const

inline

Definition at line 68 of file fvec.h.

ceil()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::ceil ( )

inline

ceil componentwise

Definition at line 276 of file fvec.h.

References cgv::math::fvec< T, N >::ceil().

Referenced by cgv::math::fvec< T, N >::ceil().

data() [1/2]

template<typename T , cgv::type::uint32_type N>

T * cgv::math::fvec< T, N >::data ( )

inline

cast into array. This allows calls like glVertex<N><T>v(p.data()) instead of glVertex<N><T,N>(p.x(),p.y(),....)

Definition at line 182 of file fvec.h.

Referenced by cgv::render::gl::gl_transparent_renderer::blend_texture_over_viewport(), cgv::audio::OALListener::get_orientation(), cgv::audio::OALListener::get_position(), cgv::audio::OALSource::get_position(), cgv::audio::OALListener::get_velocity(), cgv::audio::OALSource::get_velocity(), vr::get_world_to_eye_transform(), cgv::audio::OALListener::set_position(), cgv::audio::OALSource::set_position(), cgv::audio::OALListener::set_velocity(), and cgv::audio::OALSource::set_velocity().

data() [2/2]

template<typename T , cgv::type::uint32_type N>

const T * cgv::math::fvec< T, N >::data ( ) const

inline

cast into const array

Definition at line 184 of file fvec.h.

end() [1/2]

template<typename T , cgv::type::uint32_type N>

iterator cgv::math::fvec< T, N >::end ( )

inline

Definition at line 66 of file fvec.h.

end() [2/2]

template<typename T , cgv::type::uint32_type N>

const_iterator cgv::math::fvec< T, N >::end ( ) const

inline

Definition at line 70 of file fvec.h.

fill()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::fill ( const T &  a )

inline

fill elements of vector with scalar v

Definition at line 132 of file fvec.h.

Referenced by cgv::math::fvec< T, N >::ones(), and cgv::math::fvec< T, N >::zeros().

floor()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::floor ( )

inline

floor componentwise

Definition at line 282 of file fvec.h.

References cgv::math::fvec< T, N >::floor().

Referenced by cgv::math::fvec< T, N >::floor(), and cgv::math::fvec< T, N >::round().

from_vec()

template<typename T , cgv::type::uint32_type N>

fvec< T, N > cgv::math::fvec< T, N >::from_vec ( const vec< T > &  v )

static

conversion from vector

Definition at line 739 of file fvec.h.

References cgv::math::vec< T >::dim().

length()

template<typename T , cgv::type::uint32_type N>

T cgv::math::fvec< T, N >::length ( ) const

inline

length of the vector L2-Norm

Definition at line 250 of file fvec.h.

References cgv::math::fvec< T, N >::sqr_length().

Referenced by cgv::media::mesh::dual_contouring< X, T >::compute_cell_vertex(), cgv::media::mesh::simple_mesh< T >::compute_face_normal(), cgv::math::quaternion< T >::exp(), cgv::render::gl::gl_implicit_surface_drawable_base::extract_mesh(), cgv::math::quaternion< T >::log(), cgv::math::fvec< T, N >::normalize(), cgv::render::view::rotate(), cgv::math::fvec< T, N >::safe_normalize(), cgv::render::view::set_eye_keep_extent(), and cgv::render::view::set_eye_keep_view_angle().

lift()

template<typename T , cgv::type::uint32_type N>

fvec< T, N+1 > cgv::math::fvec< T, N >::lift ( ) const

inline

convert to homogeneous version by adding a 1

Definition at line 140 of file fvec.h.

normalize()

template<typename T , cgv::type::uint32_type N>

T cgv::math::fvec< T, N >::normalize ( )

inline

normalize the vector using the L2-Norm and return the length

Definition at line 303 of file fvec.h.

References cgv::math::fvec< T, N >::length().

Referenced by cgv::render::gl::gl_implicit_surface_drawable_base::compute_face_normal(), cgv::media::mesh::convex_polyhedron< T, TCDim >::compute_face_plane(), cgv::media::mesh::simple_mesh< T >::compute_face_tangents(), cgv::media::mesh::simple_mesh< T >::compute_vertex_normals(), cgv::media::mesh::simple_mesh< T >::dual(), cgv::media::mesh::simple_mesh< T >::gyro(), cgv::media::mesh::simple_mesh< T >::join(), cgv::render::gl::gl_implicit_surface_drawable_base::new_vertex(), cgv::math::quaternion< T >::put_axis(), cgv::render::view::put_coordinate_system(), cgv::gui::vr_calibration::read_calibration(), and cgv::gui::vr_calibration::update_driver_calibration().

ones()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::ones ( )

inline

fill the vector with ones

Definition at line 138 of file fvec.h.

References cgv::math::fvec< T, N >::fill().

operator!=()

template<typename T , cgv::type::uint32_type N>

template<typename S >

bool cgv::math::fvec< T, N >::operator!= ( const fvec< S, N > &  v ) const

inline

test for inequality

Definition at line 240 of file fvec.h.

operator()() [1/2]

template<typename T , cgv::type::uint32_type N>

T & cgv::math::fvec< T, N >::operator() ( const int  i )

inline

access i'th element

Definition at line 172 of file fvec.h.

operator()() [2/2]

template<typename T , cgv::type::uint32_type N>

const T & cgv::math::fvec< T, N >::operator() ( const int  i ) const

inline

access i'th element of const vector

Definition at line 174 of file fvec.h.

operator*() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > cgv::math::fvec< T, N >::operator* ( const fvec< S, N > &  v ) const

inline

componentwise vector multiplication

Definition at line 221 of file fvec.h.

operator*() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > cgv::math::fvec< T, N >::operator* ( const T &  s ) const

inline

multiplication with scalar s

Definition at line 228 of file fvec.h.

operator*=() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > & cgv::math::fvec< T, N >::operator*= ( const fvec< S, N > &  _v )

inline

in place componentwise vector multiplication

Definition at line 205 of file fvec.h.

operator*=() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > & cgv::math::fvec< T, N >::operator*= ( const T &  s )

inline

in place multiplication with s

Definition at line 194 of file fvec.h.

operator+() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > cgv::math::fvec< T, N >::operator+ ( const fvec< S, N > &  v ) const

inline

vector addition

Definition at line 211 of file fvec.h.

operator+() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > cgv::math::fvec< T, N >::operator+ ( const T &  s ) const

inline

componentwise addition of scalar

Definition at line 213 of file fvec.h.

operator+=() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > & cgv::math::fvec< T, N >::operator+= ( const fvec< S, N > &  _v )

inline

in place vector addition

Definition at line 199 of file fvec.h.

operator+=() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > & cgv::math::fvec< T, N >::operator+= ( const T &  s )

inline

in place addition of a scalar s

Definition at line 190 of file fvec.h.

operator-() [1/3]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > cgv::math::fvec< T, N >::operator- ( const fvec< S, N > &  v ) const

inline

vector subtraction

Definition at line 218 of file fvec.h.

operator-() [2/3]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > cgv::math::fvec< T, N >::operator- ( const T &  s ) const

inline

componentwise subtraction of scalar

Definition at line 215 of file fvec.h.

operator-() [3/3]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > cgv::math::fvec< T, N >::operator- ( void  ) const

inline

negates the vector

Definition at line 226 of file fvec.h.

operator-=() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > & cgv::math::fvec< T, N >::operator-= ( const fvec< S, N > &  _v )

inline

in place vector subtraction

Definition at line 202 of file fvec.h.

operator-=() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > & cgv::math::fvec< T, N >::operator-= ( const T &  s )

inline

in place subtraction by scalar s

Definition at line 192 of file fvec.h.

operator/() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > cgv::math::fvec< T, N >::operator/ ( const fvec< S, N > &  v ) const

inline

componentwise vector division

Definition at line 224 of file fvec.h.

operator/() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > cgv::math::fvec< T, N >::operator/ ( const T &  s ) const

inline

divides vector by scalar s

Definition at line 230 of file fvec.h.

operator/=() [1/2]

template<typename T , cgv::type::uint32_type N>

template<typename S >

fvec< T, N > & cgv::math::fvec< T, N >::operator/= ( const fvec< S, N > &  _v )

inline

in place componentwise vector division

Definition at line 208 of file fvec.h.

operator/=() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec< T, N > & cgv::math::fvec< T, N >::operator/= ( const T &  s )

inline

in place division by scalar s

Definition at line 196 of file fvec.h.

operator=() [1/2]

template<typename T , cgv::type::uint32_type N>

fvec & cgv::math::fvec< T, N >::operator= ( const fvec< T, N > &  rhs )

inline

assign vector rhs, if vector and rhs have different sizes, vector has been resized to match the size of

Definition at line 120 of file fvec.h.

operator=() [2/2]

template<typename T , cgv::type::uint32_type N>

fvec & cgv::math::fvec< T, N >::operator= ( const T &  a )

inline

set all components of vector to constant value a

Definition at line 122 of file fvec.h.

operator==()

template<typename T , cgv::type::uint32_type N>

template<typename S >

bool cgv::math::fvec< T, N >::operator== ( const fvec< S, N > &  v ) const

inline

test for equality

Definition at line 233 of file fvec.h.

operator[]() [1/2]

template<typename T , cgv::type::uint32_type N>

T & cgv::math::fvec< T, N >::operator[] ( const int  i )

inline

access i'th element

Definition at line 176 of file fvec.h.

operator[]() [2/2]

template<typename T , cgv::type::uint32_type N>

const T & cgv::math::fvec< T, N >::operator[] ( const int  i ) const

inline

access i'th element of const vector

Definition at line 178 of file fvec.h.

rbegin() [1/2]

template<typename T , cgv::type::uint32_type N>

reverse_iterator cgv::math::fvec< T, N >::rbegin ( )

inline

Definition at line 72 of file fvec.h.

rbegin() [2/2]

template<typename T , cgv::type::uint32_type N>

const_reverse_iterator cgv::math::fvec< T, N >::rbegin ( ) const

inline

Definition at line 76 of file fvec.h.

rend() [1/2]

template<typename T , cgv::type::uint32_type N>

reverse_iterator cgv::math::fvec< T, N >::rend ( )

inline

Definition at line 74 of file fvec.h.

rend() [2/2]

template<typename T , cgv::type::uint32_type N>

const_reverse_iterator cgv::math::fvec< T, N >::rend ( ) const

inline

reverse iterator pointing to the end of reverse iteration

Definition at line 78 of file fvec.h.

round()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::round ( )

inline

round componentwise

Definition at line 288 of file fvec.h.

References cgv::math::fvec< T, N >::floor().

safe_normalize()

template<typename T , cgv::type::uint32_type N>

T cgv::math::fvec< T, N >::safe_normalize ( )

inline

normalize the vector if length is not zero using the L2-Norm and return the length

Definition at line 312 of file fvec.h.

References cgv::math::fvec< T, N >::length().

set() [1/3]

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::set ( const T &  x, const T &  y  )

inline

set the first two components

Definition at line 126 of file fvec.h.

References cgv::math::fvec< T, N >::x(), and cgv::math::fvec< T, N >::y().

Referenced by cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), and cgv::render::performance_monitor::performance_monitor().

set() [2/3]

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::set ( const T &  x, const T &  y, const T &  z  )

inline

set the first three components

Definition at line 128 of file fvec.h.

References cgv::math::fvec< T, N >::x(), cgv::math::fvec< T, N >::y(), and cgv::math::fvec< T, N >::z().

set() [3/3]

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::set ( const T &  x, const T &  y, const T &  z, const T &  w  )

inline

set the first four components

Definition at line 130 of file fvec.h.

References cgv::math::fvec< T, N >::w(), cgv::math::fvec< T, N >::x(), cgv::math::fvec< T, N >::y(), and cgv::math::fvec< T, N >::z().

sign()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::sign ( )

inline

componentwise sign values

Definition at line 256 of file fvec.h.

size()

template<typename T , cgv::type::uint32_type N>

static cgv::type::uint32_type cgv::math::fvec< T, N >::size ( )

inlinestatic

return number of elements

Definition at line 180 of file fvec.h.

Referenced by cgv::render::gl::gl_implicit_surface_drawable_base::compute_face_normal(), cgv::app::overlay::get_local_rectangle(), cgv::app::navigator::handle_mouse_event(), cgv::app::color_map_editor::init_frame(), cgv::render::gl::gl_implicit_surface_drawable_base::new_polygon(), and cgv::plot::plot_base::set_plot_uniforms().

sqr_length()

template<typename T , cgv::type::uint32_type N>

T cgv::math::fvec< T, N >::sqr_length ( ) const

inline

square length of vector

Definition at line 295 of file fvec.h.

Referenced by cgv::math::distorted_pinhole< T >::invert_distortion_model(), and cgv::math::fvec< T, N >::length().

step()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::step ( const fvec< T, N > &  r )

inline

componentwise sign values

Definition at line 262 of file fvec.h.

to_vec()

template<typename T , cgv::type::uint32_type N>

vec< T > cgv::math::fvec< T, N >::to_vec

(

)

const

conversion to vector type

Definition at line 731 of file fvec.h.

References cgv::math::vec< T >::set_extern_data().

Referenced by cgv::media::mesh::dual_contouring< X, T >::compute_cell_vertex(), cgv::render::gl::gl_implicit_surface_drawable_base::draw(), cgv::render::gl::gl_implicit_surface_drawable_base::new_vertex(), cgv::media::mesh::dual_contouring< X, T >::process_edge_plane(), and cgv::media::mesh::cuberille< X, T, P >::process_slice().

w() [1/2]

template<typename T , cgv::type::uint32_type N>

T & cgv::math::fvec< T, N >::w ( )

inline

fourth element

Definition at line 168 of file fvec.h.

Referenced by cgv::math::quaternion< T >::affin(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::app::gizmo::handle(), cgv::app::navigator::handle_mouse_event(), cgv::math::quaternion< T >::operator*=(), cgv::math::ray< T, 3 >::ray(), and cgv::math::fvec< T, N >::set().

w() [2/2]

template<typename T , cgv::type::uint32_type N>

const T & cgv::math::fvec< T, N >::w ( ) const

inline

fourth element of const vector

Definition at line 170 of file fvec.h.

x() [1/2]

template<typename T , cgv::type::uint32_type N>

T & cgv::math::fvec< T, N >::x ( )

inline

first element

Definition at line 156 of file fvec.h.

Referenced by cgv::math::quaternion< T >::affin(), cgv::media::mesh::simple_mesh< T >::compute_face_tangents(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::render::context::get_gamma(), cgv::app::navigator::handle_mouse_event(), cgv::app::color_selector::handle_mouse_event(), cgv::app::color_selector::init_frame(), cgv::math::quaternion< T >::operator*=(), cgv::math::quaternion< T >::put_im(), cgv::math::ray< T, 3 >::ray(), cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::set(), cgv::math::quaternion< T >::set(), cgv::math::quaternion< T >::set_normal(), and cgv::app::overlay::update_layout().

x() [2/2]

template<typename T , cgv::type::uint32_type N>

const T & cgv::math::fvec< T, N >::x ( ) const

inline

first element of const vector

Definition at line 158 of file fvec.h.

y() [1/2]

template<typename T , cgv::type::uint32_type N>

T & cgv::math::fvec< T, N >::y ( )

inline

second element

Definition at line 160 of file fvec.h.

Referenced by cgv::math::quaternion< T >::affin(), cgv::media::mesh::simple_mesh< T >::compute_face_tangents(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::render::context::get_gamma(), cgv::app::gizmo::handle(), cgv::app::color_map_legend::handle_member_change(), cgv::app::performance_monitor::handle_member_change(), cgv::app::navigator::handle_mouse_event(), cgv::math::quaternion< T >::operator*=(), cgv::math::quaternion< T >::put_im(), cgv::math::ray< T, 3 >::ray(), cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::set(), cgv::math::quaternion< T >::set(), cgv::math::quaternion< T >::set_normal(), and cgv::app::overlay::update_layout().

y() [2/2]

template<typename T , cgv::type::uint32_type N>

const T & cgv::math::fvec< T, N >::y ( ) const

inline

second element of const vector

Definition at line 162 of file fvec.h.

z() [1/2]

template<typename T , cgv::type::uint32_type N>

T & cgv::math::fvec< T, N >::z ( )

inline

third element

Definition at line 164 of file fvec.h.

Referenced by cgv::math::quaternion< T >::affin(), cgv::media::mesh::simple_mesh< T >::compute_face_tangents(), cgv::math::fvec< T, N >::fvec(), cgv::math::fvec< T, N >::fvec(), cgv::render::context::get_gamma(), cgv::app::gizmo::handle(), cgv::app::navigator::handle_mouse_event(), cgv::math::quaternion< T >::operator*=(), cgv::math::quaternion< T >::put_im(), cgv::math::fvec< T, N >::set(), cgv::math::fvec< T, N >::set(), cgv::math::quaternion< T >::set(), and cgv::math::quaternion< T >::set_normal().

z() [2/2]

template<typename T , cgv::type::uint32_type N>

const T & cgv::math::fvec< T, N >::z ( ) const

inline

third element of const vector

Definition at line 166 of file fvec.h.

zeroh()

template<typename T , cgv::type::uint32_type N>

static fvec< T, N > cgv::math::fvec< T, N >::zeroh ( )

inlinestatic

creates a homogeneous zero-vector (yields same result as calling fvec<T,N-1>(0).lift() but is faster)

Definition at line 142 of file fvec.h.

zeros()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::zeros ( )

inline

fill the vector with zeros

Definition at line 134 of file fvec.h.

References cgv::math::fvec< T, N >::fill().

Referenced by cgv::media::mesh::convex_polyhedron< T, TCDim >::construct_box(), and cgv::math::fmat< T, N, M >::operator*().

zerosh()

template<typename T , cgv::type::uint32_type N>

void cgv::math::fvec< T, N >::zerosh ( )

inline

fill the vector with zeros except for the last component, which will be set to one

Definition at line 136 of file fvec.h.

Member Data Documentation

v

template<typename T , cgv::type::uint32_type N>

T cgv::math::fvec< T, N >::v[N]

protected

Definition at line 30 of file fvec.h.

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

• cgv/math/fvec.h