This class describes a cartesian coordinate entity in 2D space {X,Y}. This class is non persistent. This entity used for algebraic calculation. An XY can be transformed with a Trsf2d or a GTrsf2d from package gp. It is used in vectorial computations or for holding this type of information in data structures. More...

#include <gp_XY.hxx>

Public Member Functions
	gp_XY ()
	Creates XY object with zero coordinates (0,0). More...

	gp_XY (const Standard_Real X, const Standard_Real Y)
	a number pair defined by the XY coordinates More...

void	SetCoord (const Standard_Integer Index, const Standard_Real Xi)
	modifies the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Raises OutOfRange if Index != {1, 2}. More...

void	SetCoord (const Standard_Real X, const Standard_Real Y)
	For this number pair, assigns the values X and Y to its coordinates. More...

void	SetX (const Standard_Real X)
	Assigns the given value to the X coordinate of this number pair. More...

void	SetY (const Standard_Real Y)
	Assigns the given value to the Y coordinate of this number pair. More...

Standard_Real	Coord (const Standard_Integer Index) const
	returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Raises OutOfRange if Index != {1, 2}. More...

Standard_Real &	ChangeCoord (const Standard_Integer theIndex)

void	Coord (Standard_Real &X, Standard_Real &Y) const
	For this number pair, returns its coordinates X and Y. More...

Standard_Real	X () const
	Returns the X coordinate of this number pair. More...

Standard_Real	Y () const
	Returns the Y coordinate of this number pair. More...

Standard_Real	Modulus () const
	Computes Sqrt (XX + YY) where X and Y are the two coordinates of this number pair. More...

Standard_Real	SquareModulus () const
	Computes XX + YY where X and Y are the two coordinates of this number pair. More...

Standard_Boolean	IsEqual (const gp_XY &Other, const Standard_Real Tolerance) const
	Returns true if the coordinates of this number pair are equal to the respective coordinates of the number pair Other, within the specified tolerance Tolerance. I.e.: abs(<me>.X() - Other.X()) <= Tolerance and abs(<me>.Y() - Other.Y()) <= Tolerance and computations. More...

void	Add (const gp_XY &Other)
	Computes the sum of this number pair and number pair Other <me>.X() = <me>.X() + Other.X() <me>.Y() = <me>.Y() + Other.Y() More...

void	operator+= (const gp_XY &Other)

gp_XY	Added (const gp_XY &Other) const
	Computes the sum of this number pair and number pair Other new.X() = <me>.X() + Other.X() new.Y() = <me>.Y() + Other.Y() More...

gp_XY	operator+ (const gp_XY &Other) const

Standard_Real	Crossed (const gp_XY &Right) const
	Real D = <me>.X() * Other.Y() - <me>.Y() * Other.X() More...

Standard_Real	operator^ (const gp_XY &Right) const

Standard_Real	CrossMagnitude (const gp_XY &Right) const
	computes the magnitude of the cross product between <me> and Right. Returns \|\| <me> ^ Right \|\| More...

Standard_Real	CrossSquareMagnitude (const gp_XY &Right) const
	computes the square magnitude of the cross product between <me> and Right. Returns \|\| <me> ^ Right \|\|**2 More...

void	Divide (const Standard_Real Scalar)
	divides <me> by a real. More...

void	operator/= (const Standard_Real Scalar)

gp_XY	Divided (const Standard_Real Scalar) const
	Divides <me> by a real. More...

gp_XY	operator/ (const Standard_Real Scalar) const

Standard_Real	Dot (const gp_XY &Other) const
	Computes the scalar product between <me> and Other. More...

Standard_Real	operator* (const gp_XY &Other) const

void	Multiply (const Standard_Real Scalar)
	<me>.X() = <me>.X() * Scalar; <me>.Y() = <me>.Y() * Scalar; More...

void	operator*= (const Standard_Real Scalar)

void	Multiply (const gp_XY &Other)
	<me>.X() = <me>.X() * Other.X(); <me>.Y() = <me>.Y() * Other.Y(); More...

void	operator*= (const gp_XY &Other)

void	Multiply (const gp_Mat2d &Matrix)
	<me> = Matrix * <me> More...

void	operator*= (const gp_Mat2d &Matrix)

gp_XY	Multiplied (const Standard_Real Scalar) const
	New.X() = <me>.X() * Scalar; New.Y() = <me>.Y() * Scalar;. More...

gp_XY	operator* (const Standard_Real Scalar) const

gp_XY	Multiplied (const gp_XY &Other) const
	new.X() = <me>.X() * Other.X(); new.Y() = <me>.Y() * Other.Y(); More...

gp_XY	Multiplied (const gp_Mat2d &Matrix) const
	New = Matrix * <me> More...

gp_XY	operator* (const gp_Mat2d &Matrix) const

void	Normalize ()
	<me>.X() = <me>.X()/ <me>.Modulus() <me>.Y() = <me>.Y()/ <me>.Modulus() Raises ConstructionError if <me>.Modulus() <= Resolution from gp More...

gp_XY	Normalized () const
	New.X() = <me>.X()/ <me>.Modulus() New.Y() = <me>.Y()/ <me>.Modulus() Raises ConstructionError if <me>.Modulus() <= Resolution from gp. More...

void	Reverse ()
	<me>.X() = -<me>.X() <me>.Y() = -<me>.Y() More...

gp_XY	Reversed () const
	New.X() = -<me>.X() New.Y() = -<me>.Y() More...

gp_XY	operator- () const

void	SetLinearForm (const Standard_Real A1, const gp_XY &XY1, const Standard_Real A2, const gp_XY &XY2)
	Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + A2 * XY2. More...

void	SetLinearForm (const Standard_Real A1, const gp_XY &XY1, const Standard_Real A2, const gp_XY &XY2, const gp_XY &XY3)
	– Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + A2 * XY2 + XY3 More...

void	SetLinearForm (const Standard_Real A1, const gp_XY &XY1, const gp_XY &XY2)
	Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + XY2. More...

void	SetLinearForm (const gp_XY &XY1, const gp_XY &XY2)
	Computes the following linear combination and assigns the result to this number pair: XY1 + XY2. More...

void	Subtract (const gp_XY &Right)
	<me>.X() = <me>.X() - Other.X() <me>.Y() = <me>.Y() - Other.Y() More...

void	operator-= (const gp_XY &Right)

gp_XY	Subtracted (const gp_XY &Right) const
	new.X() = <me>.X() - Other.X() new.Y() = <me>.Y() - Other.Y() More...

gp_XY	operator- (const gp_XY &Right) const

Detailed Description

This class describes a cartesian coordinate entity in 2D space {X,Y}. This class is non persistent. This entity used for algebraic calculation. An XY can be transformed with a Trsf2d or a GTrsf2d from package gp. It is used in vectorial computations or for holding this type of information in data structures.

Constructor & Destructor Documentation

◆ gp_XY() [1/2]

gp_XY::gp_XY ( )

Creates XY object with zero coordinates (0,0).

◆ gp_XY() [2/2]

gp_XY::gp_XY	(	const Standard_Real	X,
		const Standard_Real	Y
	)

a number pair defined by the XY coordinates

Member Function Documentation

◆ Add()

void gp_XY::Add ( const gp_XY & Other )

Computes the sum of this number pair and number pair Other <me>.X() = <me>.X() + Other.X() <me>.Y() = <me>.Y() + Other.Y()

◆ Added()

gp_XY gp_XY::Added ( const gp_XY & Other ) const

Computes the sum of this number pair and number pair Other new.X() = <me>.X() + Other.X() new.Y() = <me>.Y() + Other.Y()

◆ ChangeCoord()

Standard_Real& gp_XY::ChangeCoord ( const Standard_Integer theIndex )

◆ Coord() [1/2]

Standard_Real gp_XY::Coord ( const Standard_Integer Index ) const

returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Raises OutOfRange if Index != {1, 2}.

◆ Coord() [2/2]

void gp_XY::Coord	(	Standard_Real &	X,
		Standard_Real &	Y
	)		const

For this number pair, returns its coordinates X and Y.

◆ Crossed()

Standard_Real gp_XY::Crossed ( const gp_XY & Right ) const

Real D = <me>.X() * Other.Y() - <me>.Y() * Other.X()

◆ CrossMagnitude()

Standard_Real gp_XY::CrossMagnitude ( const gp_XY & Right ) const

computes the magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||

◆ CrossSquareMagnitude()

Standard_Real gp_XY::CrossSquareMagnitude ( const gp_XY & Right ) const

computes the square magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||**2

◆ Divide()

void gp_XY::Divide ( const Standard_Real Scalar )

divides <me> by a real.

◆ Divided()

gp_XY gp_XY::Divided ( const Standard_Real Scalar ) const

Divides <me> by a real.

◆ Dot()

Standard_Real gp_XY::Dot ( const gp_XY & Other ) const

Computes the scalar product between <me> and Other.

◆ IsEqual()

Standard_Boolean gp_XY::IsEqual	(	const gp_XY &	Other,
		const Standard_Real	Tolerance
	)		const

Returns true if the coordinates of this number pair are equal to the respective coordinates of the number pair Other, within the specified tolerance Tolerance. I.e.: abs(<me>.X() - Other.X()) <= Tolerance and abs(<me>.Y() - Other.Y()) <= Tolerance and computations.

◆ Modulus()

Standard_Real gp_XY::Modulus ( ) const

Computes Sqrt (X*X + Y*Y) where X and Y are the two coordinates of this number pair.

◆ Multiplied() [1/3]

gp_XY gp_XY::Multiplied ( const Standard_Real Scalar ) const

New.X() = <me>.X() * Scalar; New.Y() = <me>.Y() * Scalar;.

◆ Multiplied() [2/3]

gp_XY gp_XY::Multiplied ( const gp_XY & Other ) const

new.X() = <me>.X() * Other.X(); new.Y() = <me>.Y() * Other.Y();

◆ Multiplied() [3/3]

gp_XY gp_XY::Multiplied ( const gp_Mat2d & Matrix ) const

New = Matrix * <me>

◆ Multiply() [1/3]

void gp_XY::Multiply ( const Standard_Real Scalar )

<me>.X() = <me>.X() * Scalar; <me>.Y() = <me>.Y() * Scalar;

◆ Multiply() [2/3]

void gp_XY::Multiply ( const gp_XY & Other )

<me>.X() = <me>.X() * Other.X(); <me>.Y() = <me>.Y() * Other.Y();

◆ Multiply() [3/3]

void gp_XY::Multiply ( const gp_Mat2d & Matrix )

<me> = Matrix * <me>

◆ Normalize()

void gp_XY::Normalize ( )

<me>.X() = <me>.X()/ <me>.Modulus() <me>.Y() = <me>.Y()/ <me>.Modulus() Raises ConstructionError if <me>.Modulus() <= Resolution from gp

◆ Normalized()

gp_XY gp_XY::Normalized ( ) const

New.X() = <me>.X()/ <me>.Modulus() New.Y() = <me>.Y()/ <me>.Modulus() Raises ConstructionError if <me>.Modulus() <= Resolution from gp.

◆ operator*() [1/3]

Standard_Real gp_XY::operator* ( const gp_XY & Other ) const

inline

◆ operator*() [2/3]

gp_XY gp_XY::operator* ( const Standard_Real Scalar ) const

inline

◆ operator*() [3/3]

gp_XY gp_XY::operator* ( const gp_Mat2d & Matrix ) const

inline

◆ operator*=() [1/3]

void gp_XY::operator*= ( const Standard_Real Scalar )

inline

◆ operator*=() [2/3]

void gp_XY::operator*= ( const gp_XY & Other )

inline

◆ operator*=() [3/3]

void gp_XY::operator*= ( const gp_Mat2d & Matrix )

inline

◆ operator+()

gp_XY gp_XY::operator+ ( const gp_XY & Other ) const

inline

◆ operator+=()

void gp_XY::operator+= ( const gp_XY & Other )

inline

◆ operator-() [1/2]

gp_XY gp_XY::operator- ( ) const

inline

◆ operator-() [2/2]

gp_XY gp_XY::operator- ( const gp_XY & Right ) const

inline

◆ operator-=()

void gp_XY::operator-= ( const gp_XY & Right )

inline

◆ operator/()

gp_XY gp_XY::operator/ ( const Standard_Real Scalar ) const

inline

◆ operator/=()

void gp_XY::operator/= ( const Standard_Real Scalar )

inline

◆ operator^()

Standard_Real gp_XY::operator^ ( const gp_XY & Right ) const

inline

◆ Reverse()

void gp_XY::Reverse ( )

<me>.X() = -<me>.X() <me>.Y() = -<me>.Y()

◆ Reversed()

gp_XY gp_XY::Reversed ( ) const

New.X() = -<me>.X() New.Y() = -<me>.Y()

◆ SetCoord() [1/2]

void gp_XY::SetCoord	(	const Standard_Integer	Index,
		const Standard_Real	Xi
	)

modifies the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Raises OutOfRange if Index != {1, 2}.

◆ SetCoord() [2/2]

void gp_XY::SetCoord	(	const Standard_Real	X,
		const Standard_Real	Y
	)

For this number pair, assigns the values X and Y to its coordinates.

◆ SetLinearForm() [1/4]

void gp_XY::SetLinearForm	(	const Standard_Real	A1,
		const gp_XY &	XY1,
		const Standard_Real	A2,
		const gp_XY &	XY2
	)

Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + A2 * XY2.

◆ SetLinearForm() [2/4]

void gp_XY::SetLinearForm	(	const Standard_Real	A1,
		const gp_XY &	XY1,
		const Standard_Real	A2,
		const gp_XY &	XY2,
		const gp_XY &	XY3
	)

– Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + A2 * XY2 + XY3

◆ SetLinearForm() [3/4]

void gp_XY::SetLinearForm	(	const Standard_Real	A1,
		const gp_XY &	XY1,
		const gp_XY &	XY2
	)

Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + XY2.

◆ SetLinearForm() [4/4]

void gp_XY::SetLinearForm	(	const gp_XY &	XY1,
		const gp_XY &	XY2
	)

Computes the following linear combination and assigns the result to this number pair: XY1 + XY2.

◆ SetX()

void gp_XY::SetX ( const Standard_Real X )

Assigns the given value to the X coordinate of this number pair.

◆ SetY()

void gp_XY::SetY ( const Standard_Real Y )

Assigns the given value to the Y coordinate of this number pair.

◆ SquareModulus()

Standard_Real gp_XY::SquareModulus ( ) const

Computes X*X + Y*Y where X and Y are the two coordinates of this number pair.

◆ Subtract()

void gp_XY::Subtract ( const gp_XY & Right )

<me>.X() = <me>.X() - Other.X() <me>.Y() = <me>.Y() - Other.Y()

◆ Subtracted()

gp_XY gp_XY::Subtracted ( const gp_XY & Right ) const

new.X() = <me>.X() - Other.X() new.Y() = <me>.Y() - Other.Y()

◆ X()

Standard_Real gp_XY::X ( ) const

Returns the X coordinate of this number pair.

◆ Y()

Standard_Real gp_XY::Y ( ) const

Returns the Y coordinate of this number pair.

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

gp_XY.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_XY() [1/2]

◆ gp_XY() [2/2]

Member Function Documentation

◆ Add()

◆ Added()

◆ ChangeCoord()

◆ Coord() [1/2]

◆ Coord() [2/2]

◆ Crossed()

◆ CrossMagnitude()

◆ CrossSquareMagnitude()

◆ Divide()

◆ Divided()

◆ Dot()

◆ IsEqual()

◆ Modulus()

◆ Multiplied() [1/3]

◆ Multiplied() [2/3]

◆ Multiplied() [3/3]

◆ Multiply() [1/3]

◆ Multiply() [2/3]

◆ Multiply() [3/3]

◆ Normalize()

◆ Normalized()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator^()

◆ Reverse()

◆ Reversed()

◆ SetCoord() [1/2]

◆ SetCoord() [2/2]

◆ SetLinearForm() [1/4]

◆ SetLinearForm() [2/4]

◆ SetLinearForm() [3/4]

◆ SetLinearForm() [4/4]

◆ SetX()

◆ SetY()

◆ SquareModulus()

◆ Subtract()

◆ Subtracted()

◆ X()

◆ Y()