cpe::v4 Class Reference

Vectors/Points 4D. More...

Inheritance diagram for cpe::v4:

Public Member Functions
	v4 ()
	empty constructor
	v4 (const double &x, const double &y, const double &z, const double &w)
	direct constructor
const double &	x () const
	get x coordinate
double &	x ()
	get x coordinate
const double &	y () const
	get y coordinate
double &	y ()
	get y coordinate
const double &	z () const
	get z coordinate
double &	z ()
	get z coordinate
const double &	w () const
	get w coordinate
double &	w ()
	get w coordinate
const double &	operator[] (const size_t &k) const
	Access to the k_th entry (k in [0,3])
double &	operator[] (const size_t &k)
	Access to the k_th entry (k in [0,3])
const double &	operator() (const size_t &k) const
	Access to the k_th entry (k in [0,3])
double &	operator() (const size_t &k)
	Access to the k_th entry (k in [0,3])
void	set_zero ()
	set every entry to 0
v3	to_v3 () const
	convert to v3 (x,y,z)
v2	to_v2 () const
	convert to v2 (x,y)
double	dot (const v4 &p) const
	perform dot product between two v4
double	norm () const
	get the norm of the vector
double	norm2 () const
	get the square norm of the vector
v4	normalized () const
	normalize the vector to unit length
v4	operator+ (const v4 &p2) const
	operator
v4	operator+ (const double &s) const
	operator
v4	operator- (const v4 &p2) const
	operator
v4	operator- (const double &s) const
	operator
v4	operator* (const double &s) const
	multiply by a scalar operator
v4	operator/ (const double &s) const
	divide by a scalar operator
v4 &	operator+= (const v4 &p)
	internal +
v4 &	operator+= (const double &s)
	internal +
v4 &	operator-= (const v4 &p)
	internal -
v4 &	operator-= (const double &s)
	internal -
v4 &	operator*= (const double &s)
	internal *
v4 &	operator/= (const double &s)
	internal /
v4	operator- () const
	unary negation
v4	product_compontentwise (const v4 &p) const
	does componentwise mutliplication
v4 &	product_compontentwise_internal (const v4 &p)
	does componentwise mutliplication
void	scale (const double &sx, const double &sy, const double &sz, const double &sw)
	internal scaling (similar to componentwise)
std::string	to_string () const
	export the value as string cout<<v4(2,3,6,7) => 2 3 6 7

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

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

Detailed Description

Vectors/Points 4D.

Constructor & Destructor Documentation

cpe::v4::v4

(

)

empty constructor

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

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cpe::v4::v4	(	const double &	x,
		const double &	y,
		const double &	z,
		const double &	w
	)

direct constructor

Member Function Documentation

void cpe::v4::assert_size ( const size_t &  k ) const

private

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

Referenced by operator[]().

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double cpe::v4::dot

(

const v4 &

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::v4::norm

(

)

const

get the norm of the vector

References norm2().

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

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double cpe::v4::norm2

(

)

const

get the square norm of the vector

References internal_w, internal_x, internal_y, and internal_z.

Referenced by norm().

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v4 cpe::v4::normalized

(

)

const

normalize the vector to unit length

References norm().

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const double & cpe::v4::operator()

(

const size_t &

k

)

const

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

double & cpe::v4::operator()

(

const size_t &

k

)

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

v4 cpe::v4::operator*

(

const double &

s

)

const

multiply by a scalar operator

v4 & cpe::v4::operator*=

(

const double &

s

)

internal *

References internal_w, internal_x, internal_y, and internal_z.

v4 cpe::v4::operator+

(

const v4 &

p2

)

const

• operator

References v4(), w(), x(), y(), and z().

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v4 cpe::v4::operator+

(

const double &

s

)

const

• operator

v4 & cpe::v4::operator+=

(

const v4 &

p

)

internal +

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

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v4 & cpe::v4::operator+=

(

const double &

s

)

internal +

References internal_w, internal_x, internal_y, and internal_z.

v4 cpe::v4::operator-

(

const v4 &

p2

)

const

• operator

References v4(), w(), x(), y(), and z().

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v4 cpe::v4::operator-

(

const double &

s

)

const

• operator

References v4(), w(), x(), y(), and z().

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v4 cpe::v4::operator-

(

)

const

unary negation

References internal_w, internal_x, internal_y, internal_z, and v4().

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v4 & cpe::v4::operator-=

(

const v4 &

p

)

internal -

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

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v4 & cpe::v4::operator-=

(

const double &

s

)

internal -

References internal_w, internal_x, internal_y, and internal_z.

v4 cpe::v4::operator/

(

const double &

s

)

const

divide by a scalar operator

References v4(), w(), x(), y(), and z().

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v4 & cpe::v4::operator/=

(

const double &

s

)

internal /

References internal_w, internal_x, internal_y, and internal_z.

const double & cpe::v4::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::v4::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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v4 cpe::v4::product_compontentwise

(

const v4 &

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, v4(), w(), x(), y(), and z().

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v4 & cpe::v4::product_compontentwise_internal

(

const v4 &

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::v4::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::v4::set_zero

(

)

set every entry to 0

References internal_w, internal_x, internal_y, and internal_z.

std::string cpe::v4::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<<().

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v2 cpe::v4::to_v2

(

)

const

convert to v2 (x,y)

References internal_x, and internal_y.

v3 cpe::v4::to_v3

(

)

const

convert to v3 (x,y,z)

References internal_x, internal_y, and internal_z.

const double & cpe::v4::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(), and cpe::quaternion::rotate().

double & cpe::v4::w

(

)

get w coordinate

References internal_w.

const double & cpe::v4::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(), and cpe::quaternion::rotate().

double & cpe::v4::x

(

)

get x coordinate

References internal_x.

const double & cpe::v4::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(), and cpe::quaternion::rotate().

double & cpe::v4::y

(

)

get y coordinate

References internal_y.

const double & cpe::v4::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(), and cpe::quaternion::rotate().

double & cpe::v4::z

(

)

get z coordinate

References internal_z.

Member Data Documentation

double cpe::v4::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::v4::internal_x

private

x coordinate

Referenced by dot(), norm2(), operator*=(), operator+=(), operator-(), operator-=(), operator/=(), operator[](), product_compontentwise(), product_compontentwise_internal(), scale(), set_zero(), to_string(), to_v2(), to_v3(), and x().

double cpe::v4::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_v2(), to_v3(), and y().

double cpe::v4::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_v3(), and z().

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

• /home/damien/work/2012_2013_teaching/2012_5eti_synthese/lib3d/v4.hpp
• /home/damien/work/2012_2013_teaching/2012_5eti_synthese/lib3d/v4.cpp