cpe::vec4 Class Reference

Vectors/Points 4D. More...

Inheritance diagram for cpe::vec4:

Public Member Functions
	vec4 ()
	empty constructor More...
	vec4 (const double &x, const double &y, const double &z, const double &w)
	direct constructor More...
const double &	x () const
	get x coordinate More...
double &	x ()
	get x coordinate More...
const double &	y () const
	get y coordinate More...
double &	y ()
	get y coordinate More...
const double &	z () const
	get z coordinate More...
double &	z ()
	get z coordinate More...
const double &	w () const
	get w coordinate More...
double &	w ()
	get w coordinate More...
const double &	operator[] (const size_t &k) const
	Access to the k_th entry (k in [0,3]) More...
double &	operator[] (const size_t &k)
	Access to the k_th entry (k in [0,3]) More...
const double &	operator() (const size_t &k) const
	Access to the k_th entry (k in [0,3]) More...
double &	operator() (const size_t &k)
	Access to the k_th entry (k in [0,3]) More...
void	set_zero ()
	set every entry to 0 More...
const double *	pointer () const
	fast pointer access More...
vec3	to_vec3 () const
	convert to v3 (x,y,z) More...
vec2	to_vec2 () const
	convert to v2 (x,y) More...
double	dot (const vec4 &p) const
	perform dot product between two v4 More...
double	norm () const
	get the norm of the vector More...
double	norm2 () const
	get the square norm of the vector More...
vec4	normalized () const
	normalize the vector to unit length More...
vec4	operator+ (const vec4 &p2) const
	operator More...
vec4	operator+ (const double &s) const
	operator More...
vec4	operator- (const vec4 &p2) const
	operator More...
vec4	operator- (const double &s) const
	operator More...
vec4	operator* (const double &s) const
	multiply by a scalar operator More...
vec4	operator/ (const double &s) const
	divide by a scalar operator More...
vec4 &	operator+= (const vec4 &p)
	internal + More...
vec4 &	operator+= (const double &s)
	internal + More...
vec4 &	operator-= (const vec4 &p)
	internal - More...
vec4 &	operator-= (const double &s)
	internal - More...
vec4 &	operator*= (const double &s)
	internal * More...
vec4 &	operator/= (const double &s)
	internal / More...
vec4	operator- () const
	unary negation More...
vec4	product_compontentwise (const vec4 &p) const
	does componentwise mutliplication More...
vec4 &	product_compontentwise_internal (const vec4 &p)
	does componentwise mutliplication More...
void	scale (const double &sx, const double &sy, const double &sz, const double &sw)
	internal scaling (similar to componentwise) More...
std::string	to_string () const
	export the value as string cout<<v4(2,3,6,7) => 2 3 6 7 More...

Private Member Functions
void	assert_size (const size_t &k) const
	assert that a size_t belongs to [[0,2]] More...

Private Attributes
double	internal_x
	x coordinate More...
double	internal_y
	y coordinate More...
double	internal_z
	z coordinate More...
double	internal_w
	w coordinate More...

Detailed Description

Vectors/Points 4D.

Constructor & Destructor Documentation

cpe::vec4::vec4

(

)

empty constructor

Referenced by cpe::quaternion::conjugated(), operator+(), cpe::quaternion::operator-(), operator-(), operator/(), and product_compontentwise().

cpe::vec4::vec4	(	const double &	x,
		const double &	y,
		const double &	z,
		const double &	w
	)

direct constructor

Member Function Documentation

void cpe::vec4::assert_size ( const size_t &  k ) const

private

assert that a size_t belongs to [[0,2]]

Referenced by operator[]().

double cpe::vec4::dot

(

const vec4 &

p

)

const

perform dot product between two v4

References internal_w, internal_x, internal_y, internal_z, w(), x(), y(), and z().

Referenced by cpe::quaternion::slerp().

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double cpe::vec4::norm

(

)

const

get the norm of the vector

References norm2().

Referenced by normalized(), and cpe::quaternion::slerp().

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double cpe::vec4::norm2

(

)

const

get the square norm of the vector

References internal_w, internal_x, internal_y, and internal_z.

Referenced by norm().

vec4 cpe::vec4::normalized

(

)

const

normalize the vector to unit length

References norm().

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const double & cpe::vec4::operator()

(

const size_t &

k

)

const

Access to the k_th entry (k in [0,3])

double & cpe::vec4::operator()

(

const size_t &

k

)

Access to the k_th entry (k in [0,3])

vec4 cpe::vec4::operator*

(

const double &

s

)

const

multiply by a scalar operator

vec4 & cpe::vec4::operator*=

(

const double &

s

)

internal *

References internal_w, internal_x, internal_y, and internal_z.

vec4 cpe::vec4::operator+

(

const vec4 &

p2

)

const

• operator

References vec4(), w(), x(), y(), and z().

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vec4 cpe::vec4::operator+

(

const double &

s

)

const

• operator

vec4 & cpe::vec4::operator+=

(

const vec4 &

p

)

internal +

References internal_w, internal_x, internal_y, internal_z, w(), x(), y(), and z().

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vec4 & cpe::vec4::operator+=

(

const double &

s

)

internal +

References internal_w, internal_x, internal_y, and internal_z.

vec4 cpe::vec4::operator-

(

const vec4 &

p2

)

const

• operator

References vec4(), w(), x(), y(), and z().

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vec4 cpe::vec4::operator-

(

const double &

s

)

const

• operator

References vec4(), w(), x(), y(), and z().

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vec4 cpe::vec4::operator-

(

)

const

unary negation

References internal_w, internal_x, internal_y, internal_z, and vec4().

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vec4 & cpe::vec4::operator-=

(

const vec4 &

p

)

internal -

References internal_w, internal_x, internal_y, internal_z, w(), x(), y(), and z().

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vec4 & cpe::vec4::operator-=

(

const double &

s

)

internal -

References internal_w, internal_x, internal_y, and internal_z.

vec4 cpe::vec4::operator/

(

const double &

s

)

const

divide by a scalar operator

References vec4(), w(), x(), y(), and z().

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vec4 & cpe::vec4::operator/=

(

const double &

s

)

internal /

References internal_w, internal_x, internal_y, and internal_z.

const double & cpe::vec4::operator[]

(

const size_t &

k

)

const

Access to the k_th entry (k in [0,3])

References assert_size(), internal_w, internal_x, internal_y, and internal_z.

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double & cpe::vec4::operator[]

(

const size_t &

k

)

Access to the k_th entry (k in [0,3])

References assert_size(), internal_w, internal_x, internal_y, and internal_z.

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const double * cpe::vec4::pointer

(

)

const

fast pointer access

Warning

unprotected access

References internal_x.

vec4 cpe::vec4::product_compontentwise

(

const vec4 &

p

)

const

does componentwise mutliplication

Returns

MC_v2d(x*p.x(),y*p.y(),z*p.z())

References internal_w, internal_x, internal_y, internal_z, vec4(), w(), x(), y(), and z().

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vec4 & cpe::vec4::product_compontentwise_internal

(

const vec4 &

p

)

does componentwise mutliplication

perform p=(p.x()*p2.x(),p.y()*p2.x())

References internal_w, internal_x, internal_y, internal_z, w(), x(), y(), and z().

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void cpe::vec4::scale	(	const double &	sx,
		const double &	sy,
		const double &	sz,
		const double &	sw
	)

internal scaling (similar to componentwise)

References internal_w, internal_x, internal_y, and internal_z.

void cpe::vec4::set_zero

(

)

set every entry to 0

References internal_w, internal_x, internal_y, and internal_z.

std::string cpe::vec4::to_string

(

)

const

export the value as string cout<<v4(2,3,6,7) => 2 3 6 7

References internal_w, internal_x, internal_y, and internal_z.

Referenced by cpe::operator<<().

vec2 cpe::vec4::to_vec2

(

)

const

convert to v2 (x,y)

References internal_x, and internal_y.

vec3 cpe::vec4::to_vec3

(

)

const

convert to v3 (x,y,z)

References internal_x, internal_y, and internal_z.

const double & cpe::vec4::w

(

)

const

get w coordinate

References internal_w.

Referenced by cpe::quaternion::angle(), cpe::quaternion::conjugated(), dot(), cpe::quaternion::matrix(), cpe::quaternion::operator*(), cpe::matrix4::operator*(), cpe::operator*(), cpe::quaternion::operator*=(), operator+(), cpe::operator+(), cpe::quaternion::operator+=(), operator+=(), cpe::quaternion::operator-(), operator-(), cpe::operator-(), cpe::quaternion::operator-=(), operator-=(), operator/(), cpe::quaternion::operator/=(), product_compontentwise(), product_compontentwise_internal(), cpe::quaternion::quaternion(), cpe::quaternion::rotate(), and cpe::quaternion::slerp().

double & cpe::vec4::w

(

)

get w coordinate

References internal_w.

const double & cpe::vec4::x

(

)

const

get x coordinate

References internal_x.

Referenced by cpe::quaternion::axis(), cpe::quaternion::conjugated(), dot(), cpe::quaternion::matrix(), cpe::quaternion::operator*(), cpe::matrix4::operator*(), cpe::operator*(), cpe::quaternion::operator*=(), operator+(), cpe::operator+(), cpe::quaternion::operator+=(), operator+=(), cpe::quaternion::operator-(), operator-(), cpe::operator-(), cpe::quaternion::operator-=(), operator-=(), operator/(), cpe::quaternion::operator/=(), product_compontentwise(), product_compontentwise_internal(), cpe::quaternion::quaternion(), cpe::quaternion::rotate(), and cpe::quaternion::slerp().

double & cpe::vec4::x

(

)

get x coordinate

References internal_x.

const double & cpe::vec4::y

(

)

const

get y coordinate

References internal_y.

Referenced by cpe::quaternion::axis(), cpe::quaternion::conjugated(), dot(), cpe::quaternion::matrix(), cpe::quaternion::operator*(), cpe::matrix4::operator*(), cpe::operator*(), cpe::quaternion::operator*=(), operator+(), cpe::operator+(), cpe::quaternion::operator+=(), operator+=(), cpe::quaternion::operator-(), operator-(), cpe::operator-(), cpe::quaternion::operator-=(), operator-=(), operator/(), cpe::quaternion::operator/=(), product_compontentwise(), product_compontentwise_internal(), cpe::quaternion::quaternion(), cpe::quaternion::rotate(), and cpe::quaternion::slerp().

double & cpe::vec4::y

(

)

get y coordinate

References internal_y.

const double & cpe::vec4::z

(

)

const

get z coordinate

References internal_z.

Referenced by cpe::quaternion::axis(), cpe::quaternion::conjugated(), dot(), cpe::quaternion::matrix(), cpe::quaternion::operator*(), cpe::matrix4::operator*(), cpe::operator*(), cpe::quaternion::operator*=(), operator+(), cpe::operator+(), cpe::quaternion::operator+=(), operator+=(), cpe::quaternion::operator-(), operator-(), cpe::operator-(), cpe::quaternion::operator-=(), operator-=(), operator/(), cpe::quaternion::operator/=(), product_compontentwise(), product_compontentwise_internal(), cpe::quaternion::quaternion(), cpe::quaternion::rotate(), and cpe::quaternion::slerp().

double & cpe::vec4::z

(

)

get z coordinate

References internal_z.

Member Data Documentation

double cpe::vec4::internal_w

private

w coordinate

Referenced by dot(), norm2(), operator*=(), operator+=(), operator-(), operator-=(), operator/=(), operator[](), product_compontentwise(), product_compontentwise_internal(), scale(), set_zero(), to_string(), and w().

double cpe::vec4::internal_x

private

x coordinate

Referenced by dot(), norm2(), operator*=(), operator+=(), operator-(), operator-=(), operator/=(), operator[](), pointer(), product_compontentwise(), product_compontentwise_internal(), scale(), set_zero(), to_string(), to_vec2(), to_vec3(), and x().

double cpe::vec4::internal_y

private

y coordinate

Referenced by dot(), norm2(), operator*=(), operator+=(), operator-(), operator-=(), operator/=(), operator[](), product_compontentwise(), product_compontentwise_internal(), scale(), set_zero(), to_string(), to_vec2(), to_vec3(), and y().

double cpe::vec4::internal_z

private

z coordinate

Referenced by dot(), norm2(), operator*=(), operator+=(), operator-(), operator-=(), operator/=(), operator[](), product_compontentwise(), product_compontentwise_internal(), scale(), set_zero(), to_string(), to_vec3(), and z().

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

• /home/damien/work/2012_2013_teaching/2013_4eti_synthese_images/2013/TP_projectif_etudiant/lib3d/vec4.hpp
• /home/damien/work/2012_2013_teaching/2013_4eti_synthese_images/2013/TP_projectif_etudiant/lib3d/vec4.cpp