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

#include <gp_Ax1.hxx>

Public Member Functions
	gp_Ax1 ()
	Creates an axis object representing Z axis of the reference co-ordinate system. More...

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

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

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

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

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

Standard_Boolean	IsCoaxial (const gp_Ax1 &Other, const Standard_Real AngularTolerance, const Standard_Real 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. More...

Standard_Boolean	IsNormal (const gp_Ax1 &Other, const Standard_Real AngularTolerance) const
	Returns True if the direction of the <me> and <Other> 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 AngularTolerance.. More...

Standard_Boolean	IsOpposite (const gp_Ax1 &Other, const Standard_Real AngularTolerance) const
	Returns True if the direction of <me> and <Other> 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 AngularTolerance. More...

Standard_Boolean	IsParallel (const gp_Ax1 &Other, const Standard_Real AngularTolerance) const
	Returns True if the direction of <me> and <Other> 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 AngularTolerance. More...

Standard_Real	Angle (const gp_Ax1 &Other) const
	Computes the angular value, in radians, between <me>.Direction() and <Other>.Direction(). Returns the angle between 0 and 2*PI radians. More...

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

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

void	Mirror (const gp_Pnt &P)
	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. More...

gp_Ax1	Mirrored (const gp_Pnt &P) const
	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. More...

void	Mirror (const gp_Ax1 &A1)
	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. More...

gp_Ax1	Mirrored (const gp_Ax1 &A1) const
	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. More...

void	Mirror (const gp_Ax2 &A2)
	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. More...

gp_Ax1	Mirrored (const gp_Ax2 &A2) const
	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. More...

void	Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
	Rotates this axis at an angle Ang (in radians) about the axis A1 and assigns the result to this axis. More...

gp_Ax1	Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const
	Rotates this axis at an angle Ang (in radians) about the axis A1 and creates a new one. More...

void	Scale (const gp_Pnt &P, const Standard_Real S)
	Applies a scaling transformation to this axis with: More...

gp_Ax1	Scaled (const gp_Pnt &P, const Standard_Real S) const
	Applies a scaling transformation to this axis with: More...

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

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

void	Translate (const gp_Vec &V)
	Translates this axis by the vector V, and assigns the result to this axis. More...

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

void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and assigns the result to this axis. More...

gp_Ax1	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const
	Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and creates a new one. More...

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

Standard_Boolean	InitFromJson (const Standard_SStream &theSStream, Standard_Integer &theStreamPos)
	Inits the content of me from the stream. More...

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() [1/2]

gp_Ax1::gp_Ax1 ( )

Creates an axis object representing Z axis of the reference co-ordinate system.

◆ gp_Ax1() [2/2]

gp_Ax1::gp_Ax1	(	const gp_Pnt &	P,
		const gp_Dir &	V
	)

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

Member Function Documentation

◆ Angle()

Standard_Real gp_Ax1::Angle ( const gp_Ax1 & Other ) const

Computes the angular value, in radians, between <me>.Direction() and <Other>.Direction(). Returns the angle between 0 and 2*PI radians.

◆ Direction()

const gp_Dir& gp_Ax1::Direction ( ) const

Returns the direction of <me>.

◆ DumpJson()

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

Dumps the content of me into the stream.

◆ InitFromJson()

Standard_Boolean gp_Ax1::InitFromJson	(	const Standard_SStream &	theSStream,
		Standard_Integer &	theStreamPos
	)

Inits the content of me from the stream.

◆ IsCoaxial()

Standard_Boolean gp_Ax1::IsCoaxial	(	const gp_Ax1 &	Other,
		const Standard_Real	AngularTolerance,
		const Standard_Real	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()

Standard_Boolean gp_Ax1::IsNormal	(	const gp_Ax1 &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if the direction of the <me> and <Other> 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 AngularTolerance..

◆ IsOpposite()

Standard_Boolean gp_Ax1::IsOpposite	(	const gp_Ax1 &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if the direction of <me> and <Other> 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 AngularTolerance.

◆ IsParallel()

Standard_Boolean gp_Ax1::IsParallel	(	const gp_Ax1 &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if the direction of <me> and <Other> 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 AngularTolerance.

◆ Location()

const gp_Pnt& gp_Ax1::Location ( ) const

Returns the location point of <me>.

◆ Mirror() [1/3]

void gp_Ax1::Mirror ( const gp_Pnt & P )

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.

◆ Mirror() [2/3]

void gp_Ax1::Mirror ( const gp_Ax1 & A1 )

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() [3/3]

void gp_Ax1::Mirror ( const gp_Ax2 & A2 )

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.

◆ Mirrored() [1/3]

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

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.

◆ Mirrored() [2/3]

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

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() [3/3]

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

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.

◆ Reverse()

void gp_Ax1::Reverse ( )

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

◆ Reversed()

gp_Ax1 gp_Ax1::Reversed ( ) const

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

◆ Rotate()

void gp_Ax1::Rotate	(	const gp_Ax1 &	A1,
		const Standard_Real	Ang
	)

Rotates this axis at an angle Ang (in radians) about the axis A1 and assigns the result to this axis.

◆ Rotated()

gp_Ax1 gp_Ax1::Rotated	(	const gp_Ax1 &	A1,
		const Standard_Real	Ang
	)		const

Rotates this axis at an angle Ang (in radians) about the axis A1 and creates a new one.

◆ Scale()

void gp_Ax1::Scale	(	const gp_Pnt &	P,
		const Standard_Real	S
	)

Applies a scaling transformation to this axis with:

scale factor S, and
center P and assigns the result to this axis.

◆ Scaled()

gp_Ax1 gp_Ax1::Scaled	(	const gp_Pnt &	P,
		const Standard_Real	S
	)		const

Applies a scaling transformation to this axis with:

scale factor S, and
center P and creates a new axis.

◆ SetDirection()

void gp_Ax1::SetDirection ( const gp_Dir & V )

Assigns V as the "Direction" of this axis.

◆ SetLocation()

void gp_Ax1::SetLocation ( const gp_Pnt & P )

Assigns P as the origin of this axis.

◆ Transform()

void gp_Ax1::Transform ( const gp_Trsf & T )

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

◆ Transformed()

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

Applies the transformation T 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]

void gp_Ax1::Translate ( const gp_Vec & V )

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

◆ Translate() [2/2]

void gp_Ax1::Translate	(	const gp_Pnt &	P1,
		const gp_Pnt &	P2
	)

Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and assigns the result to this axis.

◆ Translated() [1/2]

gp_Ax1 gp_Ax1::Translated ( const gp_Vec & V ) const

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

◆ Translated() [2/2]

gp_Ax1 gp_Ax1::Translated	(	const gp_Pnt &	P1,
		const gp_Pnt &	P2
	)		const

Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and creates a new one.

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

gp_Ax1.hxx

Public Member Functions