Describes a unit vector in the plane (2D space). This unit vector is also called "Direction". See Also gce_MakeDir2d which provides functions for more complex unit vector constructions Geom2d_Direction which provides additional functions for constructing unit vectors and works, in particular, with the parametric equations of unit vectors. More...

#include <gp_Dir2d.hxx>

Public Types
enum class	D { X , Y , NX , NY }
	Standard directions in 2D space for optimized constexpr construction. More...

Public Member Functions
constexpr	gp_Dir2d () noexcept
	Creates a direction corresponding to X axis.

constexpr	gp_Dir2d (const D theDir) noexcept
	Creates a direction from a standard direction enumeration.

constexpr	gp_Dir2d (const gp_Vec2d &theV)
	Normalizes the vector theV and creates a Direction. Raises ConstructionError if theV.Magnitude() <= Resolution from gp.

constexpr	gp_Dir2d (const gp_XY &theCoord)
	Creates a Direction from a doublet of coordinates. Raises ConstructionError if theCoord.Modulus() <= Resolution from gp.

constexpr	gp_Dir2d (const double theXv, const double theYv)
	Creates a Direction with its 2 cartesian coordinates. Raises ConstructionError if std::sqrt(theXvtheXv + theYvtheYv) <= Resolution from gp.

constexpr void	SetCoord (const int theIndex, const double theXi)
	For this unit vector, assigns: the value theXi to:

constexpr void	SetCoord (const double theXv, const double theYv)
	For this unit vector, assigns:

constexpr void	SetX (const double theX)
	Assigns the given value to the X coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():

constexpr void	SetY (const double theY)
	Assigns the given value to the Y coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():

constexpr void	SetXY (const gp_XY &theCoord)
	Assigns:

constexpr double	Coord (const int theIndex) const
	For this unit vector returns the coordinate of range theIndex : theIndex = 1 => X is returned theIndex = 2 => Y is returned Raises OutOfRange if theIndex != {1, 2}.

constexpr void	Coord (double &theXv, double &theYv) const noexcept
	For this unit vector returns its two coordinates theXv and theYv. Raises OutOfRange if theIndex != {1, 2}.

constexpr double	X () const noexcept
	For this unit vector, returns its X coordinate.

constexpr double	Y () const noexcept
	For this unit vector, returns its Y coordinate.

constexpr const gp_XY &	XY () const noexcept
	For this unit vector, returns its two coordinates as a number pair. Comparison between Directions The precision value is an input data.

bool	IsEqual (const gp_Dir2d &theOther, const double theAngularTolerance) const
	Returns True if the two vectors have the same direction i.e. the angle between this unit vector and the unit vector theOther is less than or equal to theAngularTolerance.

bool	IsNormal (const gp_Dir2d &theOther, const double theAngularTolerance) const
	Returns True if the angle between this unit vector and the unit vector theOther is equal to Pi/2 or -Pi/2 (normal) i.e. std::abs(std::abs(<me>.Angle(theOther)) - PI/2.) <= theAngularTolerance.

bool	IsOpposite (const gp_Dir2d &theOther, const double theAngularTolerance) const
	Returns True if the angle between this unit vector and the unit vector theOther is equal to Pi or -Pi (opposite). i.e. PI - std::abs(<me>.Angle(theOther)) <= theAngularTolerance.

bool	IsParallel (const gp_Dir2d &theOther, const double theAngularTolerance) const
	Returns True if the angle between this unit vector and unit vector theOther is equal to 0, Pi or -Pi. i.e. std::abs(Angle(<me>, theOther)) <= theAngularTolerance or PI - std::abs(Angle(<me>, theOther)) <= theAngularTolerance.

double	Angle (const gp_Dir2d &theOther) const
	Computes the angular value in radians between <me> and <theOther>. Returns the angle in the range [-PI, PI].

constexpr double	Crossed (const gp_Dir2d &theRight) const noexcept
	Computes the cross product between two directions.

constexpr double	operator^ (const gp_Dir2d &theRight) const noexcept

constexpr double	Dot (const gp_Dir2d &theOther) const noexcept
	Computes the scalar product.

constexpr double	operator* (const gp_Dir2d &theOther) const noexcept

constexpr void	Reverse () noexcept

constexpr gp_Dir2d	Reversed () const noexcept
	Reverses the orientation of a direction.

constexpr gp_Dir2d	operator- () const noexcept

void	Mirror (const gp_Dir2d &theV) noexcept

gp_Dir2d	Mirrored (const gp_Dir2d &theV) const noexcept
	Performs the symmetrical transformation of a direction with respect to the direction theV which is the center of the symmetry.

void	Mirror (const gp_Ax2d &theA) noexcept

gp_Dir2d	Mirrored (const gp_Ax2d &theA) const noexcept
	Performs the symmetrical transformation of a direction with respect to an axis placement which is the axis of the symmetry.

void	Rotate (const double Ang)

gp_Dir2d	Rotated (const double theAng) const
	Rotates a direction. theAng is the angular value of the rotation in radians.

void	Transform (const gp_Trsf2d &theT) noexcept

gp_Dir2d	Transformed (const gp_Trsf2d &theT) const
	Transforms a direction with the "Trsf" theT. Warnings : If the scale factor of the "Trsf" theT is negative then the direction <me> is reversed.

void	DumpJson (Standard_OStream &theOStream, int theDepth=-1) const
	Dumps the content of me into the stream.

Detailed Description

Describes a unit vector in the plane (2D space). This unit vector is also called "Direction". See Also gce_MakeDir2d which provides functions for more complex unit vector constructions Geom2d_Direction which provides additional functions for constructing unit vectors and works, in particular, with the parametric equations of unit vectors.

Member Enumeration Documentation

◆ D

enum class gp_Dir2d::D

strong

Standard directions in 2D space for optimized constexpr construction.

Enumerator
X	Direction along positive X axis (1, 0)
Y	Direction along positive Y axis (0, 1)
NX	Direction along negative X axis (-1, 0)
NY	Direction along negative Y axis (0, -1)

Constructor & Destructor Documentation

◆ gp_Dir2d() [1/5]

constexpr gp_Dir2d::gp_Dir2d ( )

inlineconstexprnoexcept

Creates a direction corresponding to X axis.

◆ gp_Dir2d() [2/5]

constexpr gp_Dir2d::gp_Dir2d ( const D theDir )

inlineexplicitconstexprnoexcept

Creates a direction from a standard direction enumeration.

◆ gp_Dir2d() [3/5]

constexpr gp_Dir2d::gp_Dir2d ( const gp_Vec2d & theV )

inlineconstexpr

Normalizes the vector theV and creates a Direction. Raises ConstructionError if theV.Magnitude() <= Resolution from gp.

Note: Constexpr-compatible when input is already normalized.

◆ gp_Dir2d() [4/5]

constexpr gp_Dir2d::gp_Dir2d ( const gp_XY & theCoord )

inlineconstexpr

Creates a Direction from a doublet of coordinates. Raises ConstructionError if theCoord.Modulus() <= Resolution from gp.

Note: Constexpr-compatible when input is already normalized.

◆ gp_Dir2d() [5/5]

constexpr gp_Dir2d::gp_Dir2d	(	const double	theXv,
		const double	theYv )

inlineconstexpr

Creates a Direction with its 2 cartesian coordinates. Raises ConstructionError if std::sqrt(theXv*theXv + theYv*theYv) <= Resolution from gp.

Note: Constexpr-compatible when input is already normalized.

Member Function Documentation

◆ Angle()

double gp_Dir2d::Angle ( const gp_Dir2d & theOther ) const

Computes the angular value in radians between <me> and <theOther>. Returns the angle in the range [-PI, PI].

◆ Coord() [1/2]

constexpr double gp_Dir2d::Coord ( const int theIndex ) const

inlineconstexpr

For this unit vector 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]

constexpr void gp_Dir2d::Coord	(	double &	theXv,
		double &	theYv ) const

inlineconstexprnoexcept

For this unit vector returns its two coordinates theXv and theYv. Raises OutOfRange if theIndex != {1, 2}.

◆ Crossed()

constexpr double gp_Dir2d::Crossed ( const gp_Dir2d & theRight ) const

inlineconstexprnoexcept

Computes the cross product between two directions.

◆ Dot()

constexpr double gp_Dir2d::Dot ( const gp_Dir2d & theOther ) const

inlineconstexprnoexcept

Computes the scalar product.

◆ DumpJson()

void gp_Dir2d::DumpJson	(	Standard_OStream &	theOStream,
		int	theDepth = -1 ) const

Dumps the content of me into the stream.

◆ IsEqual()

bool gp_Dir2d::IsEqual	(	const gp_Dir2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the two vectors have the same direction i.e. the angle between this unit vector and the unit vector theOther is less than or equal to theAngularTolerance.

◆ IsNormal()

bool gp_Dir2d::IsNormal	(	const gp_Dir2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the angle between this unit vector and the unit vector theOther is equal to Pi/2 or -Pi/2 (normal) i.e. std::abs(std::abs(<me>.Angle(theOther)) - PI/2.) <= theAngularTolerance.

◆ IsOpposite()

bool gp_Dir2d::IsOpposite	(	const gp_Dir2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the angle between this unit vector and the unit vector theOther is equal to Pi or -Pi (opposite). i.e. PI - std::abs(<me>.Angle(theOther)) <= theAngularTolerance.

◆ IsParallel()

bool gp_Dir2d::IsParallel	(	const gp_Dir2d &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the angle between this unit vector and unit vector theOther is equal to 0, Pi or -Pi. i.e. std::abs(Angle(<me>, theOther)) <= theAngularTolerance or PI - std::abs(Angle(<me>, theOther)) <= theAngularTolerance.

◆ Mirror() [1/2]

void gp_Dir2d::Mirror ( const gp_Ax2d & theA )

noexcept

◆ Mirror() [2/2]

void gp_Dir2d::Mirror ( const gp_Dir2d & theV )

noexcept

◆ Mirrored() [1/2]

gp_Dir2d gp_Dir2d::Mirrored ( const gp_Ax2d & theA ) const

noexcept

Performs the symmetrical transformation of a direction with respect to an axis placement which is the axis of the symmetry.

◆ Mirrored() [2/2]

gp_Dir2d gp_Dir2d::Mirrored ( const gp_Dir2d & theV ) const

noexcept

Performs the symmetrical transformation of a direction with respect to the direction theV which is the center of the symmetry.

◆ operator*()

constexpr double gp_Dir2d::operator* ( const gp_Dir2d & theOther ) const

inlineconstexprnoexcept

◆ operator-()

constexpr gp_Dir2d gp_Dir2d::operator- ( ) const

inlineconstexprnoexcept

◆ operator^()

constexpr double gp_Dir2d::operator^ ( const gp_Dir2d & theRight ) const

inlineconstexprnoexcept

◆ Reverse()

constexpr void gp_Dir2d::Reverse ( )

inlineconstexprnoexcept

◆ Reversed()

constexpr gp_Dir2d gp_Dir2d::Reversed ( ) const

inlineconstexprnoexcept

Reverses the orientation of a direction.

◆ Rotate()

void gp_Dir2d::Rotate ( const double Ang )

inline

◆ Rotated()

gp_Dir2d gp_Dir2d::Rotated ( const double theAng ) const

inline

Rotates a direction. theAng is the angular value of the rotation in radians.

◆ SetCoord() [1/2]

constexpr void gp_Dir2d::SetCoord	(	const double	theXv,
		const double	theYv )

inlineconstexpr

For this unit vector, assigns:

the values theXv and theYv to its two coordinates, Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_OutOfRange if theIndex is not 1 or 2. Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():
std::sqrt(theXv*theXv + theYv*theYv), or
the modulus of the number pair formed by the new value Xi and the other coordinate of this vector that was not directly modified. Raises OutOfRange if theIndex != {1, 2}.
Note
Constexpr-compatible when input is already normalized.

◆ SetCoord() [2/2]

constexpr void gp_Dir2d::SetCoord	(	const int	theIndex,
		const double	theXi )

inlineconstexpr

For this unit vector, assigns: the value theXi to:

the X coordinate if theIndex is 1, or
the Y coordinate if theIndex is 2, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_OutOfRange if theIndex is not 1 or 2. Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():
std::sqrt(theXv*theXv + theYv*theYv), or
the modulus of the number pair formed by the new value theXi and the other coordinate of this vector that was not directly modified. Raises OutOfRange if theIndex != {1, 2}.
Note
Constexpr-compatible when result is already normalized.

◆ SetX()

constexpr void gp_Dir2d::SetX ( const double theX )

inlineconstexpr

Assigns the given value to the X coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():

the modulus of Coord, or
the modulus of the number pair formed from the new X or Y coordinate and the other coordinate of this vector that was not directly modified.
Note
Constexpr-compatible when result is already normalized.

◆ SetXY()

constexpr void gp_Dir2d::SetXY ( const gp_XY & theCoord )

inlineconstexpr

Assigns:

the two coordinates of theCoord to this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():
the modulus of theCoord, or
the modulus of the number pair formed from the new X or Y coordinate and the other coordinate of this vector that was not directly modified.
Note
Constexpr-compatible when input is already normalized.

◆ SetY()

constexpr void gp_Dir2d::SetY ( const double theY )

inlineconstexpr

Assigns the given value to the Y coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():

the modulus of Coord, or
the modulus of the number pair formed from the new X or Y coordinate and the other coordinate of this vector that was not directly modified.
Note
Constexpr-compatible when result is already normalized.

◆ Transform()

void gp_Dir2d::Transform ( const gp_Trsf2d & theT )

noexcept

◆ Transformed()

gp_Dir2d gp_Dir2d::Transformed ( const gp_Trsf2d & theT ) const

inline

Transforms a direction with the "Trsf" theT. Warnings : If the scale factor of the "Trsf" theT is negative then the direction <me> is reversed.

◆ X()

constexpr double gp_Dir2d::X ( ) const

inlineconstexprnoexcept

For this unit vector, returns its X coordinate.

◆ XY()

constexpr const gp_XY & gp_Dir2d::XY ( ) const

inlineconstexprnoexcept

For this unit vector, returns its two coordinates as a number pair. Comparison between Directions The precision value is an input data.

◆ Y()

constexpr double gp_Dir2d::Y ( ) const

inlineconstexprnoexcept

For this unit vector, returns its Y coordinate.

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

gp_Dir2d.hxx

Public Types

Public Member Functions

Detailed Description

Member Enumeration Documentation

◆ D

Constructor & Destructor Documentation

◆ gp_Dir2d() [1/5]

◆ gp_Dir2d() [2/5]

◆ gp_Dir2d() [3/5]

◆ gp_Dir2d() [4/5]

◆ gp_Dir2d() [5/5]

Member Function Documentation

◆ Angle()

◆ Coord() [1/2]

◆ Coord() [2/2]

◆ Crossed()

◆ Dot()

◆ DumpJson()

◆ IsEqual()

◆ IsNormal()

◆ IsOpposite()

◆ IsParallel()

◆ Mirror() [1/2]

◆ Mirror() [2/2]

◆ Mirrored() [1/2]

◆ Mirrored() [2/2]

◆ operator*()

◆ operator-()

◆ operator^()

◆ Reverse()

◆ Reversed()

◆ Rotate()

◆ Rotated()

◆ SetCoord() [1/2]

◆ SetCoord() [2/2]

◆ SetX()

◆ SetXY()

◆ SetY()

◆ Transform()

◆ Transformed()

◆ X()

◆ XY()

◆ Y()