#include <Ax1.h>

Public Member Functions
	Ax1 ()=default
	Creates a undefined Ax1. More...

	Ax1 (const Geom::Pnt &P, const Geom::Dir &V)
	P is the location point and V is the direction of <me>. More...

void	setDirection (const Geom::Dir &V)
	Assigns V as the "Direction" of this axis. More...

void	setLocation (const Geom::Pnt &P)
	Assigns P as the origin of this axis. More...

const Geom::Dir &	direction () const
	Returns the direction of <me>. More...

const Geom::Pnt &	location () const
	Returns the location point of <me>. More...

bool	isCoaxial (const Ax1 &Other, const double AngularTolerance, const double LinearTolerance) const

bool	isNormal (const Ax1 &Other, const double AngularTolerance) const

bool	isOpposite (const Ax1 &Other, const double AngularTolerance) const

bool	isParallel (const Ax1 &Other, const double AngularTolerance) const

double	angle (const Ax1 &Other) const

void	reverse ()

Ax1	reversed () const
	Reverses the unit vector of this axis and creates a new one. More...

void	mirror (const Geom::Pnt &P)

Ax1	mirrored (const Geom::Pnt &P) const

void	mirror (const Ax1 &A1)

Ax1	mirrored (const Ax1 &A1) const

void	mirror (const Geom::Ax2 &A2)

Ax1	mirrored (const Geom::Ax2 &A2) const

void	rotate (const Ax1 &A1, const double Ang)

Ax1	rotated (const Ax1 &A1, const double Ang) const

void	scale (const Geom::Pnt &P, const double S)

Ax1	scaled (const Geom::Pnt &P, const double S) const

void	transform (const Geom::Trsf &T)

Ax1	transformed (const Geom::Trsf &T) const

void	translate (const Geom::Vec &V)

Ax1	translated (const Geom::Vec &V) const

void	translate (const Geom::Pnt &P1, const Geom::Pnt &P2)

Ax1	translated (const Geom::Pnt &P1, const Geom::Pnt &P2) const

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

◆ Ax1() [1/2]

Geom::Ax1::Ax1 ( )

default

Creates a undefined Ax1.

◆ Ax1() [2/2]

Geom::Ax1::Ax1	(	const Geom::Pnt &	P,
		const Geom::Dir &	V
	)

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

Member Function Documentation

◆ angle()

double Geom::Ax1::angle ( const 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 Geom::Dir& Geom::Ax1::direction ( ) const

Returns the direction of <me>.

◆ isCoaxial()

bool Geom::Ax1::isCoaxial	(	const 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 Geom::Ax1::isNormal	(	const Ax1 &	Other,
		const double	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()

bool Geom::Ax1::isOpposite	(	const Ax1 &	Other,
		const double	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()

bool Geom::Ax1::isParallel	(	const Ax1 &	Other,
		const double	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 Geom::Pnt& Geom::Ax1::location ( ) const

Returns the location point of <me>.

◆ mirror() [1/3]

void Geom::Ax1::mirror ( const Geom::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 Geom::Ax1::mirror ( const 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 Geom::Ax1::mirror ( const Geom::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]

Ax1 Geom::Ax1::mirrored ( const Geom::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]

Ax1 Geom::Ax1::mirrored ( const 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]

Ax1 Geom::Ax1::mirrored ( const Geom::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 Geom::Ax1::reverse ( )

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

◆ reversed()

Ax1 Geom::Ax1::reversed ( ) const

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

◆ rotate()

void Geom::Ax1::rotate	(	const Ax1 &	A1,
		const double	Ang
	)

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

◆ rotated()

Ax1 Geom::Ax1::rotated	(	const Ax1 &	A1,
		const double	Ang
	)		const

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

◆ scale()

void Geom::Ax1::scale	(	const Geom::Pnt &	P,
		const double	S
	)

Applies a scaling transformation to this axis with:

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

◆ scaled()

Ax1 Geom::Ax1::scaled	(	const Geom::Pnt &	P,
		const double	S
	)		const

Applies a scaling transformation to this axis with:

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

◆ setDirection()

void Geom::Ax1::setDirection ( const Geom::Dir & V )

Assigns V as the "Direction" of this axis.

◆ setLocation()

void Geom::Ax1::setLocation ( const Geom::Pnt & P )

Assigns P as the origin of this axis.

◆ transform()

void Geom::Ax1::transform ( const Geom::Trsf & T )

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

◆ transformed()

Ax1 Geom::Ax1::transformed ( const Geom::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 Geom::Ax1::translate ( const Geom::Vec & V )

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

◆ translate() [2/2]

void Geom::Ax1::translate	(	const Geom::Pnt &	P1,
		const Geom::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]

Ax1 Geom::Ax1::translated ( const Geom::Vec & V ) const

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

◆ translated() [2/2]

Ax1 Geom::Ax1::translated	(	const Geom::Pnt &	P1,
		const Geom::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:

D:/CadworkJobs/Softwareprojekte/Lexocad/V28.0/lexocad/Geom/include/Geom/Ax1.h

Public Member Functions