Describes an axis in 3D space. An axis is defined by: More...

#include <gp_Ax1.hxx>

Public Member Functions
constexpr	gp_Ax1 () noexcept
	Creates an axis object representing Z axis of the reference coordinate system.

constexpr	gp_Ax1 (const gp_Pnt &theP, const gp_Dir &theV) noexcept
	P is the location point and V is the direction of <me>.

constexpr	gp_Ax1 (const gp_Pnt &theP, const gp_Dir::D theDir) noexcept
	Creates an axis with the given location point and standard direction.

constexpr	gp_Ax1 (const gp_Dir::D theDir) noexcept
	Creates an axis at the origin with the given standard direction. Replaces gp::OX(), gp::OY(), gp::OZ() static functions.

constexpr void	SetDirection (const gp_Dir &theV) noexcept
	Assigns V as the "Direction" of this axis.

constexpr void	SetLocation (const gp_Pnt &theP) noexcept
	Assigns P as the origin of this axis.

constexpr const gp_Dir &	Direction () const noexcept
	Returns the direction of <me>.

constexpr const gp_Pnt &	Location () const noexcept
	Returns the location point of <me>.

bool	IsCoaxial (const gp_Ax1 &Other, const double AngularTolerance, const double LinearTolerance) const
	Returns True if: . the angle between <me> and <Other> is lower or equal to <AngularTolerance> and . the distance between <me>.Location() and <Other> is lower or equal to <LinearTolerance> and . the distance between <Other>.Location() and <me> is lower or equal to LinearTolerance.

bool	IsNormal (const gp_Ax1 &theOther, const double theAngularTolerance) const
	Returns True if the direction of this and another axis are normal to each other. That is, if the angle between the two axes is equal to Pi/2. Note: the tolerance criterion is given by theAngularTolerance.

bool	IsOpposite (const gp_Ax1 &theOther, const double theAngularTolerance) const
	Returns True if the direction of this and another axis are parallel with opposite orientation. That is, if the angle between the two axes is equal to Pi. Note: the tolerance criterion is given by theAngularTolerance.

bool	IsParallel (const gp_Ax1 &theOther, const double theAngularTolerance) const
	Returns True if the direction of this and another axis are parallel with same orientation or opposite orientation. That is, if the angle between the two axes is equal to 0 or Pi. Note: the tolerance criterion is given by theAngularTolerance.

double	Angle (const gp_Ax1 &theOther) const
	Computes the angular value, in radians, between this.Direction() and theOther.Direction(). Returns the angle between 0 and 2*PI radians.

constexpr void	Reverse () noexcept
	Reverses the unit vector of this axis and assigns the result to this axis.

constexpr gp_Ax1	Reversed () const noexcept
	Reverses the unit vector of this axis and creates a new one.

void	Mirror (const gp_Pnt &P) noexcept
	Performs the symmetrical transformation of an axis placement with respect to the point P which is the center of the symmetry and assigns the result to this axis.

gp_Ax1	Mirrored (const gp_Pnt &P) const noexcept
	Performs the symmetrical transformation of an axis placement with respect to the point P which is the center of the symmetry and creates a new axis.

void	Mirror (const gp_Ax1 &A1) noexcept
	Performs the symmetrical transformation of an axis placement with respect to an axis placement which is the axis of the symmetry and assigns the result to this axis.

gp_Ax1	Mirrored (const gp_Ax1 &A1) const noexcept
	Performs the symmetrical transformation of an axis placement with respect to an axis placement which is the axis of the symmetry and creates a new axis.

void	Mirror (const gp_Ax2 &A2) noexcept
	Performs the symmetrical transformation of an axis placement with respect to a plane. The axis placement <A2> locates the plane of the symmetry : (Location, XDirection, YDirection) and assigns the result to this axis.

gp_Ax1	Mirrored (const gp_Ax2 &A2) const noexcept
	Performs the symmetrical transformation of an axis placement with respect to a plane. The axis placement <A2> locates the plane of the symmetry : (Location, XDirection, YDirection) and creates a new axis.

void	Rotate (const gp_Ax1 &theA1, const double theAngRad)
	Rotates this axis at an angle theAngRad (in radians) about the axis theA1 and assigns the result to this axis.

gp_Ax1	Rotated (const gp_Ax1 &theA1, const double theAngRad) const
	Rotates this axis at an angle theAngRad (in radians) about the axis theA1 and creates a new one.

constexpr void	Scale (const gp_Pnt &theP, const double theS) noexcept
	Applies a scaling transformation to this axis with:

constexpr gp_Ax1	Scaled (const gp_Pnt &theP, const double theS) const noexcept
	Applies a scaling transformation to this axis with:

void	Transform (const gp_Trsf &theT)
	Applies the transformation theT to this axis and assigns the result to this axis.

gp_Ax1	Transformed (const gp_Trsf &theT) const
	Applies the transformation theT to this axis and creates a new one.

constexpr void	Translate (const gp_Vec &theV) noexcept
	Translates this axis by the vector theV, and assigns the result to this axis.

constexpr gp_Ax1	Translated (const gp_Vec &theV) const noexcept
	Translates this axis by the vector theV, and creates a new one.

constexpr void	Translate (const gp_Pnt &theP1, const gp_Pnt &theP2) noexcept
	Translates this axis by: the vector (theP1, theP2) defined from point theP1 to point theP2. and assigns the result to this axis.

constexpr gp_Ax1	Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const noexcept
	Translates this axis by: the vector (theP1, theP2) defined from point theP1 to point theP2. and creates a new one.

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

bool	InitFromJson (const Standard_SStream &theSStream, int &theStreamPos)
	Inits the content of me from the stream.

Detailed Description

Describes an axis in 3D space. An axis is defined by:

its origin (also referred to as its "Location point"), and
its unit vector (referred to as its "Direction" or "main Direction"). An axis is used:
to describe 3D geometric entities (for example, the axis of a revolution entity). It serves the same purpose as the STEP function "axis placement one axis", or
to define geometric transformations (axis of symmetry, axis of rotation, and so on). For example, this entity can be used to locate a geometric entity or to define a symmetry axis.

Constructor & Destructor Documentation

◆ gp_Ax1() [1/4]

constexpr gp_Ax1::gp_Ax1 ( )

inlineconstexprnoexcept

Creates an axis object representing Z axis of the reference coordinate system.

◆ gp_Ax1() [2/4]

constexpr gp_Ax1::gp_Ax1	(	const gp_Pnt &	theP,
		const gp_Dir &	theV )

inlineconstexprnoexcept

P is the location point and V is the direction of <me>.

◆ gp_Ax1() [3/4]

constexpr gp_Ax1::gp_Ax1	(	const gp_Pnt &	theP,
		const gp_Dir::D	theDir )

inlineconstexprnoexcept

Creates an axis with the given location point and standard direction.

◆ gp_Ax1() [4/4]

constexpr gp_Ax1::gp_Ax1 ( const gp_Dir::D theDir )

inlineexplicitconstexprnoexcept

Creates an axis at the origin with the given standard direction. Replaces gp::OX(), gp::OY(), gp::OZ() static functions.

Member Function Documentation

◆ Angle()

double gp_Ax1::Angle ( const gp_Ax1 & theOther ) const

inline

Computes the angular value, in radians, between this.Direction() and theOther.Direction(). Returns the angle between 0 and 2*PI radians.

◆ Direction()

constexpr const gp_Dir & gp_Ax1::Direction ( ) const

inlineconstexprnoexcept

Returns the direction of <me>.

◆ DumpJson()

void gp_Ax1::DumpJson	(	Standard_OStream &	theOStream,
		int	theDepth = -1 ) const

Dumps the content of me into the stream.

◆ InitFromJson()

bool gp_Ax1::InitFromJson	(	const Standard_SStream &	theSStream,
		int &	theStreamPos )

Inits the content of me from the stream.

◆ IsCoaxial()

bool gp_Ax1::IsCoaxial	(	const gp_Ax1 &	Other,
		const double	AngularTolerance,
		const double	LinearTolerance ) const

Returns True if: . the angle between <me> and <Other> is lower or equal to <AngularTolerance> and . the distance between <me>.Location() and <Other> is lower or equal to <LinearTolerance> and . the distance between <Other>.Location() and <me> is lower or equal to LinearTolerance.

◆ IsNormal()

bool gp_Ax1::IsNormal	(	const gp_Ax1 &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the direction of this and another axis are normal to each other. That is, if the angle between the two axes is equal to Pi/2. Note: the tolerance criterion is given by theAngularTolerance.

◆ IsOpposite()

bool gp_Ax1::IsOpposite	(	const gp_Ax1 &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the direction of this and another axis are parallel with opposite orientation. That is, if the angle between the two axes is equal to Pi. Note: the tolerance criterion is given by theAngularTolerance.

◆ IsParallel()

bool gp_Ax1::IsParallel	(	const gp_Ax1 &	theOther,
		const double	theAngularTolerance ) const

inline

Returns True if the direction of this and another axis are parallel with same orientation or opposite orientation. That is, if the angle between the two axes is equal to 0 or Pi. Note: the tolerance criterion is given by theAngularTolerance.

◆ Location()

constexpr const gp_Pnt & gp_Ax1::Location ( ) const

inlineconstexprnoexcept

Returns the location point of <me>.

◆ Mirror() [1/3]

void gp_Ax1::Mirror ( const gp_Ax1 & A1 )

noexcept

Performs the symmetrical transformation of an axis placement with respect to an axis placement which is the axis of the symmetry and assigns the result to this axis.

◆ Mirror() [2/3]

void gp_Ax1::Mirror ( const gp_Ax2 & A2 )

noexcept

Performs the symmetrical transformation of an axis placement with respect to a plane. The axis placement <A2> locates the plane of the symmetry : (Location, XDirection, YDirection) and assigns the result to this axis.

◆ Mirror() [3/3]

void gp_Ax1::Mirror ( const gp_Pnt & P )

noexcept

Performs the symmetrical transformation of an axis placement with respect to the point P which is the center of the symmetry and assigns the result to this axis.

◆ Mirrored() [1/3]

gp_Ax1 gp_Ax1::Mirrored ( const gp_Ax1 & A1 ) const

noexcept

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

◆ Mirrored() [2/3]

gp_Ax1 gp_Ax1::Mirrored ( const gp_Ax2 & A2 ) const

noexcept

Performs the symmetrical transformation of an axis placement with respect to a plane. The axis placement <A2> locates the plane of the symmetry : (Location, XDirection, YDirection) and creates a new axis.

◆ Mirrored() [3/3]

gp_Ax1 gp_Ax1::Mirrored ( const gp_Pnt & P ) const

noexcept

Performs the symmetrical transformation of an axis placement with respect to the point P which is the center of the symmetry and creates a new axis.

◆ Reverse()

constexpr void gp_Ax1::Reverse ( )

inlineconstexprnoexcept

Reverses the unit vector of this axis and assigns the result to this axis.

◆ Reversed()

constexpr gp_Ax1 gp_Ax1::Reversed ( ) const

inlineconstexprnoexcept

Reverses the unit vector of this axis and creates a new one.

◆ Rotate()

void gp_Ax1::Rotate	(	const gp_Ax1 &	theA1,
		const double	theAngRad )

inline

Rotates this axis at an angle theAngRad (in radians) about the axis theA1 and assigns the result to this axis.

◆ Rotated()

gp_Ax1 gp_Ax1::Rotated	(	const gp_Ax1 &	theA1,
		const double	theAngRad ) const

inline

Rotates this axis at an angle theAngRad (in radians) about the axis theA1 and creates a new one.

◆ Scale()

constexpr void gp_Ax1::Scale	(	const gp_Pnt &	theP,
		const double	theS )

inlineconstexprnoexcept

Applies a scaling transformation to this axis with:

scale factor theS, and
center theP and assigns the result to this axis.

◆ Scaled()

constexpr gp_Ax1 gp_Ax1::Scaled	(	const gp_Pnt &	theP,
		const double	theS ) const

inlineconstexprnoexcept

Applies a scaling transformation to this axis with:

scale factor theS, and
center theP and creates a new axis.

◆ SetDirection()

constexpr void gp_Ax1::SetDirection ( const gp_Dir & theV )

inlineconstexprnoexcept

Assigns V as the "Direction" of this axis.

◆ SetLocation()

constexpr void gp_Ax1::SetLocation ( const gp_Pnt & theP )

inlineconstexprnoexcept

Assigns P as the origin of this axis.

◆ Transform()

void gp_Ax1::Transform ( const gp_Trsf & theT )

inline

Applies the transformation theT to this axis and assigns the result to this axis.

◆ Transformed()

gp_Ax1 gp_Ax1::Transformed ( const gp_Trsf & theT ) const

inline

Applies the transformation theT to this axis and creates a new one.

Translates an axis plaxement in the direction of the vector <V>. The magnitude of the translation is the vector's magnitude.

◆ Translate() [1/2]

constexpr void gp_Ax1::Translate	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 )

inlineconstexprnoexcept

Translates this axis by: the vector (theP1, theP2) defined from point theP1 to point theP2. and assigns the result to this axis.

◆ Translate() [2/2]

constexpr void gp_Ax1::Translate ( const gp_Vec & theV )

inlineconstexprnoexcept

Translates this axis by the vector theV, and assigns the result to this axis.

◆ Translated() [1/2]

constexpr gp_Ax1 gp_Ax1::Translated	(	const gp_Pnt &	theP1,
		const gp_Pnt &	theP2 ) const

inlineconstexprnoexcept

Translates this axis by: the vector (theP1, theP2) defined from point theP1 to point theP2. and creates a new one.

◆ Translated() [2/2]

constexpr gp_Ax1 gp_Ax1::Translated ( const gp_Vec & theV ) const

inlineconstexprnoexcept

Translates this axis by the vector theV, and creates a new one.

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

gp_Ax1.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Ax1() [1/4]

◆ gp_Ax1() [2/4]

◆ gp_Ax1() [3/4]

◆ gp_Ax1() [4/4]

Member Function Documentation

◆ Angle()

◆ Direction()

◆ DumpJson()

◆ InitFromJson()

◆ IsCoaxial()

◆ IsNormal()

◆ IsOpposite()

◆ IsParallel()

◆ Location()

◆ Mirror() [1/3]

◆ Mirror() [2/3]

◆ Mirror() [3/3]

◆ Mirrored() [1/3]

◆ Mirrored() [2/3]

◆ Mirrored() [3/3]

◆ Reverse()

◆ Reversed()

◆ Rotate()

◆ Rotated()

◆ Scale()

◆ Scaled()

◆ SetDirection()

◆ SetLocation()

◆ Transform()

◆ Transformed()

◆ Translate() [1/2]

◆ Translate() [2/2]

◆ Translated() [1/2]

◆ Translated() [2/2]