Generic maths vector. More...

#include <geogram/basic/vecg.h>

Public Types
typedef vecng< DIM, T >	vector_type
	This vector type.

typedef T	value_type
	The type of the vector coordinates.

Public Member Functions
	vecng ()
	Default vector constructor. More...

template<class T2 >
	vecng (const vecng< DIM, T2 > &v)
	Constructs a vector by copy. More...

template<class T2 , index_t DIM2>
	vecng (const vecng< DIM2, T2 > &v)

template<class T2 >
	vecng (const T2 *v)
	Constructs a vector from an array. More...

	vecng (const std::initializer_list< T > &Vi)
	Constructs a vector from an initializer list. More...

index_t	dimension () const
	Gets the vector dimension. More...

T *	data ()
	Gets modifiable vector data. More...

const T *	data () const
	Gets non-modifiable vector data. More...

T &	operator[] (index_t i)
	Gets a modifiable vector coordinate. More...

const T &	operator[] (index_t i) const
	Gets a non-modifiable vector coordinate. More...

T	length2 () const
	Gets the squared length of the vector.

T	length () const
	Gets the length of the vector.

T	distance2 (const vector_type &v) const
	Gets the squared distance to a vector. More...

T	distance (const vector_type &v) const
	Gets the distance to a vector. More...

vector_type &	operator+= (const vector_type &v)
	Adds a vector in place. More...

vector_type &	operator-= (const vector_type &v)
	Subtracts a vector in place. More...

template<class T2 >
vector_type &	operator*= (T2 s)
	Multiplies by a scalar in place. More...

template<class T2 >
vector_type &	operator/= (T2 s)
	Divides by a scalar in place. More...

vector_type	operator+ (const vector_type &v) const
	Adds 2 vectors. More...

vector_type	operator- (const vector_type &v) const
	Subtracts 2 vectors. More...

template<class T2 >
vector_type	operator* (T2 s) const
	Multiplies a vector by a scalar. More...

template<class T2 >
vector_type	operator/ (T2 s) const
	Divides a vector by a scalar. More...

vector_type	operator- () const
	Negates a vector. More...

Static Public Attributes
static const index_t	dim = DIM
	The dimension of the vector.

Related Functions
(Note that these are not member functions.)
template<index_t DIM, class T >
T	dot (const vecng< DIM, T > &v1, const vecng< DIM, T > &v2)
	Computes the dot product of 2 vectors. More...

template<class T2 , index_t DIM, class T >
vecng< DIM, T >	operator* (T2 s, const vecng< DIM, T > &v)
	Multiplies a scalar by a vector. More...

template<index_t DIM, class T >
T	length (const vecng< DIM, T > &v)
	Gets the norm of a vector. More...

template<index_t DIM, class T >
T	length2 (const vecng< DIM, T > &v)
	Gets the square norm of a vector. More...

template<index_t DIM, class T >
T	distance2 (const vecng< DIM, T > &v1, const vecng< DIM, T > &v2)
	Gets the square distance between 2 vectors. More...

template<index_t DIM, class T >
T	distance (const vecng< DIM, T > &v1, const vecng< DIM, T > &v2)
	Gets the distance between 2 vectors. More...

template<index_t DIM, class T >
vecng< DIM, T >	normalize (const vecng< DIM, T > &v)
	Normalizes a vector. More...

template<index_t DIM, class T >
vecng< DIM, T >	mix (const vecng< DIM, T > &v1, const vecng< DIM, T > &v2, T s)
	Computes a weighted barycenter. More...

template<class T >
T	dot (const vecng< 2, T > &v1, const vecng< 2, T > &v2)
	Computes the dot product of 2 vectors. More...

template<class T >
T	det (const vecng< 2, T > &v1, const vecng< 2, T > &v2)
	Computes the determinant of 2 vectors. More...

template<class T2 , class T >
vecng< 2, T >	operator* (T2 s, const vecng< 2, T > &v)
	Multiplies a scalar by a vector. More...

template<class T >
T	dot (const vecng< 3, T > &v1, const vecng< 3, T > &v2)
	Computes the dot product of 2 vectors. More...

template<class T >
vecng< 3, T >	cross (const vecng< 3, T > &v1, const vecng< 3, T > &v2)
	Computes the cross product of 2 vectors. More...

template<class T2 , class T >
vecng< 3, T >	operator* (T2 s, const vecng< 3, T > &v)
	Multiplies a scalar by a vector. More...

template<class T >
T	dot (const vecng< 4, T > &v1, const vecng< 4, T > &v2)
	Computes the dot product of 2 vectors. More...

template<class T2 , class T >
vecng< 4, T >	operator* (T2 s, const vecng< 4, T > &v)
	Multiplies a scalar by a vector. More...

template<index_t DIM, class T >
std::ostream &	operator<< (std::ostream &out, const GEO::vecng< DIM, T > &v)
	Writes a vector to a stream. More...

template<index_t DIM, class T >
std::istream &	operator>> (std::istream &in, GEO::vecng< DIM, T > &v)
	Reads a vector from a stream. More...

Detailed Description

template<index_t DIM, class T>
class GEO::vecng< DIM, T >

Generic maths vector.

Vecng implements a maths vector of dimension DIM containing coordinates of type T and provides operations for manipulating it. Type T is expected to be a numeric type.

Template Parameters

DIM	dimension of the vector
T	type of the vector coordinates.

Definition at line 70 of file vecg.h.

Constructor & Destructor Documentation

◆ vecng() [1/4]

template<index_t DIM, class T >

GEO::vecng< DIM, T >::vecng ( )

inline

Default vector constructor.

All coordinates are initialized to 0 (zero).

Definition at line 85 of file vecg.h.

◆ vecng() [2/4]

template<index_t DIM, class T >

template<class T2 >

GEO::vecng< DIM, T >::vecng ( const vecng< DIM, T2 > & v )

inlineexplicit

Constructs a vector by copy.

This copies coordinates of vector v to this vector. The type T2 of the coordinates in v must be convertible to the type T of this vector.

Parameters

[in] v an vector of same dimension with coordinates of type T2

Template Parameters

T2	the type of coordinates in vector `v`

Definition at line 104 of file vecg.h.

◆ vecng() [3/4]

template<index_t DIM, class T >

template<class T2 >

GEO::vecng< DIM, T >::vecng ( const T2 * v )

inlineexplicit

Constructs a vector from an array.

This copies coordinates the first DIM coordinates of array v to this vector. The type T2 of the coordinates in v must be convertible to the type T of this vector.

Parameters

[in] v an array of values of type T2

Template Parameters

T2	the type of coordinates in vector `v`

Definition at line 130 of file vecg.h.

◆ vecng() [4/4]

template<index_t DIM, class T >

GEO::vecng< DIM, T >::vecng ( const std::initializer_list< T > & Vi )

inline

Constructs a vector from an initializer list.

Parameters

[in] Vi the initializer list, should contain DIM elements.

Definition at line 140 of file vecg.h.

Member Function Documentation

◆ data() [1/2]

template<index_t DIM, class T >

T* GEO::vecng< DIM, T >::data ( )

inline

Gets modifiable vector data.

Returns: a pointer to the first element of the vector

Definition at line 161 of file vecg.h.

◆ data() [2/2]

template<index_t DIM, class T >

const T* GEO::vecng< DIM, T >::data ( ) const

inline

Gets non-modifiable vector data.

Returns: a const pointer to the first element of the vector

Definition at line 169 of file vecg.h.

◆ dimension()

template<index_t DIM, class T >

index_t GEO::vecng< DIM, T >::dimension ( ) const

inline

Gets the vector dimension.

Returns: the value of DIM

Definition at line 153 of file vecg.h.

◆ distance()

template<index_t DIM, class T >

T GEO::vecng< DIM, T >::distance ( const vector_type & v ) const

inline

Gets the distance to a vector.

Parameters

[in] v another vector

Returns: (v - this).length()

Definition at line 229 of file vecg.h.

◆ distance2()

template<index_t DIM, class T >

T GEO::vecng< DIM, T >::distance2 ( const vector_type & v ) const

inline

Gets the squared distance to a vector.

Parameters

[in] v another vector

Returns: (v - this).length2()

Definition at line 216 of file vecg.h.

◆ operator*()

template<index_t DIM, class T >

template<class T2 >

vector_type GEO::vecng< DIM, T >::operator* ( T2 s ) const

inline

Multiplies a vector by a scalar.

Builds a vector by multipying this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in] s a value of type T2

Template Parameters

T2	the type of value `s`

Returns: the result vector (this * s)

Definition at line 337 of file vecg.h.

◆ operator*=()

template<index_t DIM, class T >

template<class T2 >

vector_type& GEO::vecng< DIM, T >::operator*= ( T2 s )

inline

Multiplies by a scalar in place.

Multiplies this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in] s a value of type T2

Template Parameters

T2	the type of value `s`

Returns: a reference to this vector

Definition at line 273 of file vecg.h.

◆ operator+()

template<index_t DIM, class T >

vector_type GEO::vecng< DIM, T >::operator+ ( const vector_type & v ) const

inline

Adds 2 vectors.

Builds a vector by adding coordinates of this vector and coordinates of vector v.

Parameters

[in] v another vector

Returns: the result vector (this + v)

Definition at line 304 of file vecg.h.

◆ operator+=()

template<index_t DIM, class T >

vector_type& GEO::vecng< DIM, T >::operator+= ( const vector_type & v )

inline

Adds a vector in place.

Adds coordinates of vector v to this vector coordinates

Parameters

[in] v another vector

Returns: a reference to this vector

Definition at line 242 of file vecg.h.

◆ operator-() [1/2]

template<index_t DIM, class T >

vector_type GEO::vecng< DIM, T >::operator- ( ) const

inline

Negates a vector.

Builds a vector by negating coordinates of this vector.

Returns: the result vector (-this)

Definition at line 368 of file vecg.h.

◆ operator-() [2/2]

template<index_t DIM, class T >

vector_type GEO::vecng< DIM, T >::operator- ( const vector_type & v ) const

inline

Subtracts 2 vectors.

Builds a vector by subtracting coordinates of vector v to coordinates of this vector.

Parameters

[in] v another vector

Returns: the result vector (this - v)

Definition at line 319 of file vecg.h.

◆ operator-=()

template<index_t DIM, class T >

vector_type& GEO::vecng< DIM, T >::operator-= ( const vector_type & v )

inline

Subtracts a vector in place.

Subtracts coordinates of vector v from this vector coordinates

Parameters

[in] v another vector

Returns: a reference to this vector

Definition at line 256 of file vecg.h.

◆ operator/()

template<index_t DIM, class T >

template<class T2 >

vector_type GEO::vecng< DIM, T >::operator/ ( T2 s ) const

inline

Divides a vector by a scalar.

Builds a vector by dividing this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in] s a value of type T2

Template Parameters

T2	the type of value `s`

Returns: the result vector (this / s)

Definition at line 355 of file vecg.h.

◆ operator/=()

template<index_t DIM, class T >

template<class T2 >

vector_type& GEO::vecng< DIM, T >::operator/= ( T2 s )

inline

Divides by a scalar in place.

Divides this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in] s a value of type T2

Template Parameters

T2	the type of value `s`

Returns: a reference to this vector

Definition at line 290 of file vecg.h.

◆ operator[]() [1/2]

template<index_t DIM, class T >

T& GEO::vecng< DIM, T >::operator[] ( index_t i )

inline

Gets a modifiable vector coordinate.

Parameters

[in] i index of the coordinate

Returns: a reference to coordinate at index i

Definition at line 178 of file vecg.h.

◆ operator[]() [2/2]

template<index_t DIM, class T >

const T& GEO::vecng< DIM, T >::operator[] ( index_t i ) const

inline

Gets a non-modifiable vector coordinate.

Parameters

[in] i index of the coordinate

Returns: a const reference to coordinate at index i

Definition at line 188 of file vecg.h.

Friends And Related Function Documentation

◆ cross()

template<class T >

vecng< 3, T > cross	(	const vecng< 3, T > &	v1,
		const vecng< 3, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the cross product (v1 x v2)

Definition at line 930 of file vecg.h.

◆ det()

template<class T >

T det	(	const vecng< 2, T > &	v1,
		const vecng< 2, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the value of the determinant

Definition at line 707 of file vecg.h.

◆ distance()

template<index_t DIM, class T >

T distance	(	const vecng< DIM, T > &	v1,
		const vecng< DIM, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the distance between v1 and v2.

See also: vecng::distance()

Definition at line 470 of file vecg.h.

◆ distance2()

template<index_t DIM, class T >

T distance2	(	const vecng< DIM, T > &	v1,
		const vecng< DIM, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the square distance between v1 and v2.

See also: vecng::distance2()

Definition at line 455 of file vecg.h.

◆ dot() [1/4]

template<class T >

T dot	(	const vecng< 2, T > &	v1,
		const vecng< 2, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the dot product (v1 . v2)

Definition at line 693 of file vecg.h.

◆ dot() [2/4]

template<class T >

T dot	(	const vecng< 3, T > &	v1,
		const vecng< 3, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the dot product (v1 . v2)

Definition at line 916 of file vecg.h.

◆ dot() [3/4]

template<class T >

T dot	(	const vecng< 4, T > &	v1,
		const vecng< 4, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the dot product (v1 . v2)

Definition at line 1147 of file vecg.h.

◆ dot() [4/4]

template<index_t DIM, class T >

T dot	(	const vecng< DIM, T > &	v1,
		const vecng< DIM, T > &	v2
	)

Parameters

[in]	v1	the first vector
[in]	v2	the second vector

Returns: the dot product (v1 . v2)

Definition at line 388 of file vecg.h.

◆ length()

template<index_t DIM, class T >

T length ( const vecng< DIM, T > & v )

Parameters

[in] v a vector

Returns: the norm of vector v

See also: vecng::length()

Definition at line 430 of file vecg.h.

◆ length2()

template<index_t DIM, class T >

T length2 ( const vecng< DIM, T > & v )

Parameters

[in] v a vector

Returns: the square norm of vector v

See also: vecng::length2()

Definition at line 442 of file vecg.h.

◆ mix()

template<index_t DIM, class T >

vecng< DIM, T > mix	(	const vecng< DIM, T > &	v1,
		const vecng< DIM, T > &	v2,
		T	s
	)

Computes the barycenter of v1 and v2 weighted by value 1 - s and s.

Parameters

[in]	v1	the first vector
[in]	v2	the second vector
[in]	s	the weight value

Returns: the barycenter (1 - s) * v1 + s * v2

Definition at line 507 of file vecg.h.

◆ normalize()

template<index_t DIM, class T >

vecng< DIM, T > normalize ( const vecng< DIM, T > & v )

Returns a normalized vector constructed by dividing coordinates of vector v by it norm. If the norm is 0, then the result is undefined.

Parameters

[in] v a vector

Returns: the normalized vector

Definition at line 486 of file vecg.h.

◆ operator*() [1/4]

template<class T2 , class T >

vecng< 2, T > operator*	(	T2	s,
		const vecng< 2, T > &	v
	)

Builds a vector by multipying this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in]	s	a value of type `T2`
[in]	v	the vector to multiply

Template Parameters

T2	the type of value `s`

Returns: the result vector (s * v)

Definition at line 718 of file vecg.h.

◆ operator*() [2/4]

template<class T2 , class T >

vecng< 3, T > operator*	(	T2	s,
		const vecng< 3, T > &	v
	)

Builds a vector by multipying this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in]	s	a value of type `T2`
[in]	v	the vector to multiply

Template Parameters

T2	the type of value `s`

Returns: the result vector (s * v)

Definition at line 945 of file vecg.h.

◆ operator*() [3/4]

template<class T2 , class T >

vecng< 4, T > operator*	(	T2	s,
		const vecng< 4, T > &	v
	)

Builds a vector by multipying this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in]	s	a value of type `T2`
[in]	v	the vector to multiply

Template Parameters

T2	the type of value `s`

Returns: the result vector (s * v)

Definition at line 1158 of file vecg.h.

◆ operator*() [4/4]

template<class T2 , index_t DIM, class T >

vecng< DIM, T > operator*	(	T2	s,
		const vecng< DIM, T > &	v
	)

Builds a vector by multipying this vector coordinates by value s. The type T2 of s must be convertible to the type T of this vector coordinates.

Parameters

[in]	s	a value of type `T2`
[in]	v	the vector to multiply

Template Parameters

T2	the type of value `s`

Returns: the result vector (s * v)

Definition at line 410 of file vecg.h.

◆ operator<<()

template<index_t DIM, class T >

std::ostream & operator<<	(	std::ostream &	out,
		const GEO::vecng< DIM, T > &	v
	)

This writes the coordinates of vector v separated by a space character to the output stream out.

Parameters

[in]	out	the output stream
[in]	v	the vector to write

Returns: a reference to the output stream out

Definition at line 1174 of file vecg.h.

◆ operator>>()

template<index_t DIM, class T >

std::istream & operator>>	(	std::istream &	in,
		GEO::vecng< DIM, T > &	v
	)

This reads DIM coordinates from the input stream in and stores them in vector v. Understands both "x y z" and "[x, y, z]" formats.

Parameters

[in]	in	the input stream
[out]	v	the vector to read

Returns: a reference to the input stream in

Definition at line 1196 of file vecg.h.

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

geogram/basic/vecg.h

Public Types

Public Member Functions

Static Public Attributes

Related Functions

Detailed Description

template<index_t DIM, class T> class GEO::vecng< DIM, T >

Constructor & Destructor Documentation

◆ vecng() [1/4]

◆ vecng() [2/4]

◆ vecng() [3/4]

◆ vecng() [4/4]

Member Function Documentation

◆ data() [1/2]

◆ data() [2/2]

◆ dimension()

◆ distance()

◆ distance2()

◆ operator*()

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

Friends And Related Function Documentation

◆ cross()

◆ det()

◆ distance()

◆ distance2()

◆ dot() [1/4]

◆ dot() [2/4]

◆ dot() [3/4]

◆ dot() [4/4]

◆ length()

◆ length2()

◆ mix()

◆ normalize()

◆ operator*() [1/4]

◆ operator*() [2/4]

◆ operator*() [3/4]

◆ operator*() [4/4]

◆ operator<<()

◆ operator>>()

template<index_t DIM, class T>
class GEO::vecng< DIM, T >