Storage class for 2D points. More...

Detailed Description

Storage class for 2D points.

This class stores abscissa and ordinate of a 2D point.
At any time, the user should known:

the unit of these coordinates
the referential system of these coordinates.

Public Member Functions
	Point2D (const MP_real &x=0., const MP_real &y=0.)
	Default constructor. More...

	Point2D (const Point2D &)
	Copy constructor. More...

virtual	~Point2D ()
	Destructor. More...

MP_real	distance (const Point2D &) const
	Return distance between current point and given point reference. More...

Point2D &	transform (const Point2D &translate, const Point2D &dilate, bool do_round=false)
	Return new point dilated. More...

MP_real	scalar (const Point2D &) const
	Return the scalar product (_xx + _yy) between current point and given point reference. More...

MP_real	vectorial (const Point2D &) const
	Return the vectorial product (_xy - _yx) between current point and given point reference. More...

Point2D &	reset (const MP_real &x=0., const MP_real &y=0.)
	Reset current point coordinates to new values. More...

Point2D &	rotate_half_pi ()
	Rotate 90° current point anticlockwise. More...

Point2D &	rotate_pi ()
	Rotate 180° current point anticlockwise. More...

Point2D &	rotate (const Point2D &center, const MP_real &angle)
	Rotate a point around a center (angle in radian) More...

Point2D &	rotate (const Point2D &center, const MP_real &cosinus, const MP_real &sinus)
	Rotate a point around a center given the cosinus and the sinus of the angle. More...

Point2D &	rotate_inv (const Point2D &center, const MP_real &angle)
	Inverse rotate a point around a center (angle in radian) More...

Point2D &	rotate_inv (const Point2D &center, const MP_real &cosinus, const MP_real &sinus)
	Inverse rotate a point around a center given the cosinus and the sinus of the angle. More...

Point2D &	operator= (const Point2D &)
	Affect current point by given reference point. More...

Point2D &	operator+= (const Point2D &)
	Affect current point adding given reference point. More...

Point2D &	operator-= (const Point2D &)
	Affect current point substracting given reference point. More...

Point2D &	operator*= (const MP_real &)
	Affect current point multipling coordinates by given real value. More...

Point2D &	operator/= (const MP_real &)
	Affect current point dividing coordinates by given real value. More...

bool	operator== (const Point2D &) const
	Return true if current point coordinates are equal to given point ones. More...

bool	operator!= (const Point2D &) const
	Return true if current point coordinates are different from given point ones. More...

MP_real	get_abscissa () const
	Assessors get to the _x protected member variable. More...

void	set_abscissa (MP_real x)
	Assessors set to the _x protected member variable. More...

MP_real	get_ordinate () const
	Assessors get to the _y protected member variable. More...

void	set_ordinate (MP_real y)
	Assessors set to the _y protected member variable. More...

MP_string	debug () const
	Get debug information. More...

Protected Attributes
MP_real	_x
	Point abscissa. More...

MP_real	_y
	Point ordinate. More...

Friends
Point2D	operator- (const Point2D &)
	Return a new point where _x = -x and _y = -y. More...

Point2D	operator+ (const Point2D &, const Point2D &)
	Add two points. More...

Point2D	operator- (const Point2D &, const Point2D &)
	Subtract two points. More...

Point2D	operator* (const Point2D &, const Point2D &)
	Multiply coordinates of two points (_xx, _yy) More...

Point2D	operator* (const MP_real &, const Point2D &)
	Multiply given point coordinates by the given real value. More...

Point2D	operator* (const Point2D &, const MP_real &)
	Multiply given point coordinates by the given real value. More...

Point2D	operator/ (const Point2D &, const Point2D &)
	Divide coordinates of two points (_x/x, _y/y) More...

Point2D	operator/ (const MP_real &, const Point2D &)
	Divide given point coordinates by the given real value. More...

Point2D	operator/ (const Point2D &, const MP_real &)
	Divide given point coordinates by the given real value. More...

MP_real	sqnorm (const Point2D &)
	Return the square norm of segment between origin and given point. More...

MP_real	lgth (const Point2D &)
	Return the distance of the segment between origin and given point. More...

MP_real	arc_tan (const Point2D &)
	Return the arc tangante between origin and given point. More...

std::ostream &	operator<< (std::ostream &, const Point2D &)
	Print given point coordinates into an output stream. More...

std::istream &	operator>> (std::istream &, Point2D &)
	Initialize given point coordinates from an input stream. More...

Constructor & Destructor Documentation

◆ Point2D() [1/2]

Point2D::Point2D	(	const MP_real &	x = `0.`,
		const MP_real &	y = `0.`
	)

Default constructor.

◆ Point2D() [2/2]

Point2D::Point2D ( const Point2D & )

Copy constructor.

◆ ~Point2D()

virtual Point2D::~Point2D ( )

virtual

Destructor.

Member Function Documentation

◆ debug()

MP_string Point2D::debug ( ) const

Get debug information.

◆ distance()

MP_real Point2D::distance ( const Point2D & ) const

Return distance between current point and given point reference.

◆ get_abscissa()

MP_real Point2D::get_abscissa ( ) const

inline

Assessors get to the _x protected member variable.

◆ get_ordinate()

MP_real Point2D::get_ordinate ( ) const

inline

Assessors get to the _y protected member variable.

◆ operator!=()

bool Point2D::operator!= ( const Point2D & ) const

Return true if current point coordinates are different from given point ones.

◆ operator*=()

Point2D& Point2D::operator*= ( const MP_real & )

Affect current point multipling coordinates by given real value.

◆ operator+=()

Point2D& Point2D::operator+= ( const Point2D & )

Affect current point adding given reference point.

◆ operator-=()

Point2D& Point2D::operator-= ( const Point2D & )

Affect current point substracting given reference point.

◆ operator/=()

Point2D& Point2D::operator/= ( const MP_real & )

Affect current point dividing coordinates by given real value.

◆ operator=()

Point2D& Point2D::operator= ( const Point2D & )

Affect current point by given reference point.

◆ operator==()

bool Point2D::operator== ( const Point2D & ) const

Return true if current point coordinates are equal to given point ones.

◆ reset()

Point2D& Point2D::reset	(	const MP_real &	x = `0.`,
		const MP_real &	y = `0.`
	)

Reset current point coordinates to new values.

◆ rotate() [1/2]

Point2D& Point2D::rotate	(	const Point2D &	center,
		const MP_real &	angle
	)

Rotate a point around a center (angle in radian)

◆ rotate() [2/2]

Point2D& Point2D::rotate	(	const Point2D &	center,
		const MP_real &	cosinus,
		const MP_real &	sinus
	)

Rotate a point around a center given the cosinus and the sinus of the angle.

◆ rotate_half_pi()

Point2D& Point2D::rotate_half_pi ( )

Rotate 90° current point anticlockwise.

◆ rotate_inv() [1/2]

Point2D& Point2D::rotate_inv	(	const Point2D &	center,
		const MP_real &	angle
	)

Inverse rotate a point around a center (angle in radian)

◆ rotate_inv() [2/2]

Point2D& Point2D::rotate_inv	(	const Point2D &	center,
		const MP_real &	cosinus,
		const MP_real &	sinus
	)

Inverse rotate a point around a center given the cosinus and the sinus of the angle.

◆ rotate_pi()

Point2D& Point2D::rotate_pi ( )

Rotate 180° current point anticlockwise.

◆ scalar()

MP_real Point2D::scalar ( const Point2D & ) const

Return the scalar product (_x*x + _y*y) between current point and given point reference.

◆ set_abscissa()

void Point2D::set_abscissa ( MP_real x )

inline

Assessors set to the _x protected member variable.

◆ set_ordinate()

void Point2D::set_ordinate ( MP_real y )

inline

Assessors set to the _y protected member variable.

◆ transform()

Point2D& Point2D::transform	(	const Point2D &	translate,
		const Point2D &	dilate,
		bool	do_round = `false`
	)

Return new point dilated.

◆ vectorial()

MP_real Point2D::vectorial ( const Point2D & ) const

Return the vectorial product (_x*y - _y*x) between current point and given point reference.

Friends And Related Function Documentation

◆ arc_tan

MP_real arc_tan ( const Point2D & )

friend

Return the arc tangante between origin and given point.

◆ lgth

MP_real lgth ( const Point2D & )

friend

Return the distance of the segment between origin and given point.

◆ operator* [1/3]

Point2D operator*	(	const MP_real &	,
		const Point2D &
	)

friend

Multiply given point coordinates by the given real value.

◆ operator* [2/3]

Point2D operator*	(	const Point2D &	,
		const MP_real &
	)

friend

Multiply given point coordinates by the given real value.

◆ operator* [3/3]

Point2D operator*	(	const Point2D &	,
		const Point2D &
	)

friend

Multiply coordinates of two points (_x*x, _y*y)

◆ operator+

Point2D operator+	(	const Point2D &	,
		const Point2D &
	)

friend

Add two points.

◆ operator- [1/2]

Point2D operator- ( const Point2D & )

friend

Return a new point where _x = -x and _y = -y.

◆ operator- [2/2]

Point2D operator-	(	const Point2D &	,
		const Point2D &
	)

friend

Subtract two points.

◆ operator/ [1/3]

Point2D operator/	(	const MP_real &	,
		const Point2D &
	)

friend

Divide given point coordinates by the given real value.

◆ operator/ [2/3]

Point2D operator/	(	const Point2D &	,
		const MP_real &
	)

friend

Divide given point coordinates by the given real value.

◆ operator/ [3/3]

Point2D operator/	(	const Point2D &	,
		const Point2D &
	)

friend

Divide coordinates of two points (_x/x, _y/y)

◆ operator<<

std::ostream& operator<<	(	std::ostream &	,
		const Point2D &
	)

friend

Print given point coordinates into an output stream.

◆ operator>>

std::istream& operator>>	(	std::istream &	,
		Point2D &
	)

friend

Initialize given point coordinates from an input stream.

◆ sqnorm

MP_real sqnorm ( const Point2D & )

friend

Return the square norm of segment between origin and given point.

Member Data Documentation

◆ _x

MP_real Point2D::_x

protected

Point abscissa.

◆ _y

MP_real Point2D::_y

protected

Point ordinate.

Detailed Description

Public Member Functions

Protected Attributes

Friends

Constructor & Destructor Documentation

◆ Point2D() [1/2]

◆ Point2D() [2/2]

◆ ~Point2D()

Member Function Documentation

◆ debug()

◆ distance()

◆ get_abscissa()

◆ get_ordinate()

◆ operator!=()

◆ operator*=()

◆ operator+=()

◆ operator-=()

◆ operator/=()

◆ operator=()

◆ operator==()

◆ reset()

◆ rotate() [1/2]

◆ rotate() [2/2]

◆ rotate_half_pi()

◆ rotate_inv() [1/2]

◆ rotate_inv() [2/2]

◆ rotate_pi()

◆ scalar()

◆ set_abscissa()

◆ set_ordinate()

◆ transform()

◆ vectorial()

Friends And Related Function Documentation

◆ arc_tan

◆ lgth

◆ operator* [1/3]

◆ operator* [2/3]

◆ operator* [3/3]

◆ operator+

◆ operator- [1/2]

◆ operator- [2/2]

◆ operator/ [1/3]

◆ operator/ [2/3]

◆ operator/ [3/3]

◆ operator<<

◆ operator>>

◆ sqnorm

Member Data Documentation

◆ _x

◆ _y