gp_XY Class Reference

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).
	gp_XY (const Standard_Real theX, const Standard_Real theY)
	a number pair defined by the XY coordinates
void	SetCoord (const Standard_Integer theIndex, const Standard_Real theXi)
	modifies the coordinate of range theIndex theIndex = 1 => X is modified theIndex = 2 => Y is modified Raises OutOfRange if theIndex != {1, 2}.
void	SetCoord (const Standard_Real theX, const Standard_Real theY)
	For this number pair, assigns the values theX and theY to its coordinates.
void	SetX (const Standard_Real theX)
	Assigns the given value to the X coordinate of this number pair.
void	SetY (const Standard_Real theY)
	Assigns the given value to the Y coordinate of this number pair.
Standard_Real	Coord (const Standard_Integer theIndex) const
	returns the coordinate of range theIndex : theIndex = 1 => X is returned theIndex = 2 => Y is returned Raises OutOfRange if theIndex != {1, 2}.
Standard_Real &	ChangeCoord (const Standard_Integer theIndex)
void	Coord (Standard_Real &theX, Standard_Real &theY) const
	For this number pair, returns its coordinates X and Y.
Standard_Real	X () const
	Returns the X coordinate of this number pair.
Standard_Real	Y () const
	Returns the Y coordinate of this number pair.
Standard_Real	Modulus () const
	Computes Sqrt (X*X + Y*Y) where X and Y are the two coordinates of this number pair.
Standard_Real	SquareModulus () const
	Computes X*X + Y*Y where X and Y are the two coordinates of this number pair.
Standard_Boolean	IsEqual (const gp_XY &theOther, const Standard_Real theTolerance) const
	Returns true if the coordinates of this number pair are equal to the respective coordinates of the number pair theOther, within the specified tolerance theTolerance. I.e.: abs(<me>.X() - theOther.X()) <= theTolerance and abs(<me>.Y() - theOther.Y()) <= theTolerance and computations.
void	Add (const gp_XY &theOther)
	Computes the sum of this number pair and number pair theOther.
void	operator+= (const gp_XY &theOther)
gp_XY	Added (const gp_XY &theOther) const
	Computes the sum of this number pair and number pair theOther.
gp_XY	operator+ (const gp_XY &theOther) const
Standard_Real	Crossed (const gp_XY &theOther) const
Standard_Real	operator^ (const gp_XY &theOther) const
Standard_Real	CrossMagnitude (const gp_XY &theRight) const
	computes the magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||
Standard_Real	CrossSquareMagnitude (const gp_XY &theRight) const
	computes the square magnitude of the cross product between <me> and theRight. Returns || <me> ^ theRight ||**2
void	Divide (const Standard_Real theScalar)
	divides <me> by a real.
void	operator/= (const Standard_Real theScalar)
gp_XY	Divided (const Standard_Real theScalar) const
	Divides <me> by a real.
gp_XY	operator/ (const Standard_Real theScalar) const
Standard_Real	Dot (const gp_XY &theOther) const
	Computes the scalar product between <me> and theOther.
Standard_Real	operator* (const gp_XY &theOther) const
void	Multiply (const Standard_Real theScalar)
void	operator*= (const Standard_Real theScalar)
void	Multiply (const gp_XY &theOther)
void	operator*= (const gp_XY &theOther)
void	Multiply (const gp_Mat2d &theMatrix)
	<me> = theMatrix * <me>
void	operator*= (const gp_Mat2d &theMatrix)
gp_XY	Multiplied (const Standard_Real theScalar) const
gp_XY	operator* (const Standard_Real theScalar) const
gp_XY	Multiplied (const gp_XY &theOther) const
gp_XY	Multiplied (const gp_Mat2d &theMatrix) const
	New = theMatrix * <me>
gp_XY	operator* (const gp_Mat2d &theMatrix) const
void	Normalize ()
gp_XY	Normalized () const
void	Reverse ()
gp_XY	Reversed () const
gp_XY	operator- () const
void	SetLinearForm (const Standard_Real theA1, const gp_XY &theXY1, const Standard_Real theA2, const gp_XY &theXY2)
	Computes the following linear combination and assigns the result to this number pair:
void	SetLinearForm (const Standard_Real theA1, const gp_XY &theXY1, const Standard_Real theA2, const gp_XY &theXY2, const gp_XY &theXY3)
	– Computes the following linear combination and assigns the result to this number pair:
void	SetLinearForm (const Standard_Real theA1, const gp_XY &theXY1, const gp_XY &theXY2)
	Computes the following linear combination and assigns the result to this number pair:
void	SetLinearForm (const gp_XY &theXY1, const gp_XY &theXY2)
	Computes the following linear combination and assigns the result to this number pair:
void	Subtract (const gp_XY &theOther)
void	operator-= (const gp_XY &theOther)
gp_XY	Subtracted (const gp_XY &theOther) const
gp_XY	operator- (const gp_XY &theOther) 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 ( )

inline

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

gp_XY() [2/2]

gp_XY::gp_XY ( const Standard_Real  theX, const Standard_Real  theY  )

inline

a number pair defined by the XY coordinates

Member Function Documentation

Add()

void gp_XY::Add ( const gp_XY &  theOther )

inline

Computes the sum of this number pair and number pair theOther.

<me>.X() = <me>.X() + theOther.X()
<me>.Y() = <me>.Y() + theOther.Y()

Added()

gp_XY gp_XY::Added ( const gp_XY &  theOther ) const

inline

Computes the sum of this number pair and number pair theOther.

new.X() = <me>.X() + theOther.X()
new.Y() = <me>.Y() + theOther.Y()

ChangeCoord()

Standard_Real & gp_XY::ChangeCoord ( const Standard_Integer  theIndex )

inline

Coord() [1/2]

Standard_Real gp_XY::Coord ( const Standard_Integer  theIndex ) const

inline

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

Coord() [2/2]

void gp_XY::Coord ( Standard_Real &  theX, Standard_Real &  theY  ) const

inline

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

Crossed()

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

inline

double D = <me>.X() * theOther.Y() - <me>.Y() * theOther.X()

CrossMagnitude()

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

inline

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

CrossSquareMagnitude()

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

inline

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

Divide()

void gp_XY::Divide ( const Standard_Real  theScalar )

inline

divides <me> by a real.

Divided()

gp_XY gp_XY::Divided ( const Standard_Real  theScalar ) const

inline

Divides <me> by a real.

Dot()

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

inline

Computes the scalar product between <me> and theOther.

IsEqual()

Standard_Boolean gp_XY::IsEqual	(	const gp_XY &	theOther,
		const Standard_Real	theTolerance
	)		const

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

Modulus()

Standard_Real gp_XY::Modulus ( ) const

inline

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 gp_Mat2d &  theMatrix ) const

inline

New = theMatrix * <me>

Multiplied() [2/3]

gp_XY gp_XY::Multiplied ( const gp_XY &  theOther ) const

inline

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

Multiplied() [3/3]

gp_XY gp_XY::Multiplied ( const Standard_Real  theScalar ) const

inline

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

Multiply() [1/3]

void gp_XY::Multiply ( const gp_Mat2d &  theMatrix )

inline

<me> = theMatrix * <me>

Multiply() [2/3]

void gp_XY::Multiply ( const gp_XY &  theOther )

inline

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

Multiply() [3/3]

void gp_XY::Multiply ( const Standard_Real  theScalar )

inline

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

Normalize()

void gp_XY::Normalize ( )

inline

<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

inline

New.X() = <me>.X()/ <me>.Modulus()
New.Y() = <me>.Y()/ <me>.Modulus()

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

operator*() [1/3]

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

inline

operator*() [2/3]

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

inline

operator*() [3/3]

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

inline

operator*=() [1/3]

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

inline

operator*=() [2/3]

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

inline

operator*=() [3/3]

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

inline

operator+()

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

inline

operator+=()

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

inline

operator-() [1/2]

gp_XY gp_XY::operator- ( ) const

inline

operator-() [2/2]

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

inline

operator-=()

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

inline

operator/()

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

inline

operator/=()

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

inline

operator^()

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

inline

Reverse()

void gp_XY::Reverse ( )

inline

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

Reversed()

gp_XY gp_XY::Reversed ( ) const

inline

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

SetCoord() [1/2]

void gp_XY::SetCoord ( const Standard_Integer  theIndex, const Standard_Real  theXi  )

inline

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

SetCoord() [2/2]

void gp_XY::SetCoord ( const Standard_Real  theX, const Standard_Real  theY  )

inline

For this number pair, assigns the values theX and theY to its coordinates.

SetLinearForm() [1/4]

void gp_XY::SetLinearForm ( const gp_XY &  theXY1, const gp_XY &  theXY2  )

inline

Computes the following linear combination and assigns the result to this number pair:

theXY1 + theXY2

SetLinearForm() [2/4]

void gp_XY::SetLinearForm ( const Standard_Real  theA1, const gp_XY &  theXY1, const gp_XY &  theXY2  )

inline

Computes the following linear combination and assigns the result to this number pair:

theA1 * theXY1 + theXY2

SetLinearForm() [3/4]

void gp_XY::SetLinearForm ( const Standard_Real  theA1, const gp_XY &  theXY1, const Standard_Real  theA2, const gp_XY &  theXY2  )

inline

Computes the following linear combination and assigns the result to this number pair:

theA1 * theXY1 + theA2 * theXY2

SetLinearForm() [4/4]

void gp_XY::SetLinearForm ( const Standard_Real  theA1, const gp_XY &  theXY1, const Standard_Real  theA2, const gp_XY &  theXY2, const gp_XY &  theXY3  )

inline

– Computes the following linear combination and assigns the result to this number pair:

theA1 * theXY1 + theA2 * theXY2 + theXY3

SetX()

void gp_XY::SetX ( const Standard_Real  theX )

inline

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

SetY()

void gp_XY::SetY ( const Standard_Real  theY )

inline

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

SquareModulus()

Standard_Real gp_XY::SquareModulus ( ) const

inline

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 &  theOther )

inline

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

Subtracted()

gp_XY gp_XY::Subtracted ( const gp_XY &  theOther ) const

inline

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

X()

Standard_Real gp_XY::X ( ) const

inline

Returns the X coordinate of this number pair.

Y()

Standard_Real gp_XY::Y ( ) const

inline

Returns the Y coordinate of this number pair.

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

• gp_XY.hxx