Describes a coordinate system in a plane (2D space). A coordinate system is defined by: More...

#include <gp_Ax22d.hxx>

Public Member Functions
constexpr	gp_Ax22d () noexcept
	Creates an object representing the reference coordinate system (OXY).

constexpr	gp_Ax22d (const gp_Pnt2d &theP, const gp_Dir2d &theVx, const gp_Dir2d &theVy)
	Creates a coordinate system with origin theP and where:

constexpr	gp_Ax22d (const gp_Pnt2d &theP, const gp_Dir2d &theV, const bool theIsSense=true)
	Creates a coordinate system with origin theP and "X Direction" theV, which is:

constexpr	gp_Ax22d (const gp_Ax2d &theA, const bool theIsSense=true)
	Creates a coordinate system where its origin is the origin of theA and its "X Direction" is the unit vector of theA, which is:

constexpr void	SetAxis (const gp_Ax22d &theA1) noexcept
	Assigns the origin and the two unit vectors of the coordinate system theA1 to this coordinate system.

constexpr void	SetXAxis (const gp_Ax2d &theA1)
	Changes the XAxis and YAxis ("Location" point and "Direction") of <me>. The "YDirection" is recomputed in the same sense as before.

constexpr void	SetYAxis (const gp_Ax2d &theA1)
	Changes the XAxis and YAxis ("Location" point and "Direction") of <me>. The "XDirection" is recomputed in the same sense as before.

constexpr void	SetLocation (const gp_Pnt2d &theP) noexcept
	Changes the "Location" point (origin) of <me>.

constexpr void	SetXDirection (const gp_Dir2d &theVx)
	Assigns theVx to the "X Direction" of this coordinate system. The other unit vector of this coordinate system is recomputed, normal to theVx , without modifying the orientation (right-handed or left-handed) of this coordinate system.

constexpr void	SetYDirection (const gp_Dir2d &theVy)
	Assigns theVy to the "Y Direction" of this coordinate system. The other unit vector of this coordinate system is recomputed, normal to theVy, without modifying the orientation (right-handed or left-handed) of this coordinate system.

gp_Ax2d	XAxis () const
	Returns an axis, for which.

gp_Ax2d	YAxis () const
	Returns an axis, for which.

constexpr const gp_Pnt2d &	Location () const noexcept
	Returns the "Location" point (origin) of <me>.

constexpr const gp_Dir2d &	XDirection () const noexcept
	Returns the "XDirection" of <me>.

constexpr const gp_Dir2d &	YDirection () const noexcept
	Returns the "YDirection" of <me>.

void	Mirror (const gp_Pnt2d &theP) noexcept

gp_Ax22d	Mirrored (const gp_Pnt2d &theP) const noexcept
	Performs the symmetrical transformation of an axis placement with respect to the point theP which is the center of the symmetry. Warnings : The main direction of the axis placement is not changed. The "XDirection" and the "YDirection" are reversed. So the axis placement stay right handed.

void	Mirror (const gp_Ax2d &theA) noexcept

gp_Ax22d	Mirrored (const gp_Ax2d &theA) const noexcept
	Performs the symmetrical transformation of an axis placement with respect to an axis placement which is the axis of the symmetry. The transformation is performed on the "Location" point, on the "XDirection" and "YDirection". The resulting main "Direction" is the cross product between the "XDirection" and the "YDirection" after transformation.

void	Rotate (const gp_Pnt2d &theP, const double theAng)

gp_Ax22d	Rotated (const gp_Pnt2d &theP, const double theAng) const
	Rotates an axis placement. <theA1> is the axis of the rotation. theAng is the angular value of the rotation in radians.

void	Scale (const gp_Pnt2d &theP, const double theS)

gp_Ax22d	Scaled (const gp_Pnt2d &theP, const double theS) const
	Applies a scaling transformation on the axis placement. The "Location" point of the axisplacement is modified. Warnings: If the scale <theS> is negative: . the main direction of the axis placement is not changed. . The "XDirection" and the "YDirection" are reversed. So the axis placement stay right handed.

void	Transform (const gp_Trsf2d &theT) noexcept

gp_Ax22d	Transformed (const gp_Trsf2d &theT) const
	Transforms an axis placement with a Trsf. The "Location" point, the "XDirection" and the "YDirection" are transformed with theT. The resulting main "Direction" of <me> is the cross product between the "XDirection" and the "YDirection" after transformation.

constexpr void	Translate (const gp_Vec2d &theV) noexcept

constexpr gp_Ax22d	Translated (const gp_Vec2d &theV) const noexcept
	Translates an axis plaxement in the direction of the vector <theV>. The magnitude of the translation is the vector's magnitude.

constexpr void	Translate (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) noexcept

constexpr gp_Ax22d	Translated (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) const noexcept
	Translates an axis placement from the point <theP1> to the point <theP2>.

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

Detailed Description

Describes a coordinate system in a plane (2D space). A coordinate system is defined by:

its origin (also referred to as its "Location point"), and
two orthogonal unit vectors, respectively, called the "X Direction" and the "Y Direction". A gp_Ax22d may be right-handed ("direct sense") or left-handed ("inverse" or "indirect sense"). You use a gp_Ax22d to:
describe 2D geometric entities, in particular to position them. The local coordinate system of a geometric entity serves for the same purpose as the STEP function "axis placement two axes", or
define geometric transformations. Note: we refer to the "X Axis" and "Y Axis" as the axes having:
the origin of the coordinate system as their origin, and
the unit vectors "X Direction" and "Y Direction", respectively, as their unit vectors.

Constructor & Destructor Documentation

◆ gp_Ax22d() [1/4]

constexpr gp_Ax22d::gp_Ax22d ( )

inlineconstexprnoexcept

Creates an object representing the reference coordinate system (OXY).

◆ gp_Ax22d() [2/4]

constexpr gp_Ax22d::gp_Ax22d	(	const gp_Pnt2d &	theP,
		const gp_Dir2d &	theVx,
		const gp_Dir2d &	theVy )

inlineconstexpr

Creates a coordinate system with origin theP and where:

theVx is the "X Direction", and
the "Y Direction" is orthogonal to theVx and oriented so that the cross products theVx^"Y Direction" and theVx^theVy have the same sign. Raises ConstructionError if theVx and theVy are parallel (same or opposite orientation).

◆ gp_Ax22d() [3/4]

constexpr gp_Ax22d::gp_Ax22d	(	const gp_Pnt2d &	theP,
		const gp_Dir2d &	theV,
		const bool	theIsSense = true )

inlineconstexpr

Creates a coordinate system with origin theP and "X Direction" theV, which is:

right-handed if theIsSense is true (default value), or
left-handed if theIsSense is false

◆ gp_Ax22d() [4/4]

constexpr gp_Ax22d::gp_Ax22d	(	const gp_Ax2d &	theA,
		const bool	theIsSense = true )

inlineconstexpr

Creates a coordinate system where its origin is the origin of theA and its "X Direction" is the unit vector of theA, which is:

right-handed if theIsSense is true (default value), or
left-handed if theIsSense is false.

Member Function Documentation

◆ DumpJson()

void gp_Ax22d::DumpJson	(	Standard_OStream &	theOStream,
		int	theDepth = -1 ) const

Dumps the content of me into the stream.

◆ Location()

constexpr const gp_Pnt2d & gp_Ax22d::Location ( ) const

inlineconstexprnoexcept

Returns the "Location" point (origin) of <me>.

◆ Mirror() [1/2]

void gp_Ax22d::Mirror ( const gp_Ax2d & theA )

noexcept

◆ Mirror() [2/2]

void gp_Ax22d::Mirror ( const gp_Pnt2d & theP )

noexcept

◆ Mirrored() [1/2]

gp_Ax22d gp_Ax22d::Mirrored ( const gp_Ax2d & theA ) const

noexcept

Performs the symmetrical transformation of an axis placement with respect to an axis placement which is the axis of the symmetry. The transformation is performed on the "Location" point, on the "XDirection" and "YDirection". The resulting main "Direction" is the cross product between the "XDirection" and the "YDirection" after transformation.

◆ Mirrored() [2/2]

gp_Ax22d gp_Ax22d::Mirrored ( const gp_Pnt2d & theP ) const

noexcept

Performs the symmetrical transformation of an axis placement with respect to the point theP which is the center of the symmetry. Warnings : The main direction of the axis placement is not changed. The "XDirection" and the "YDirection" are reversed. So the axis placement stay right handed.

◆ Rotate()

void gp_Ax22d::Rotate	(	const gp_Pnt2d &	theP,
		const double	theAng )

inline

◆ Rotated()

gp_Ax22d gp_Ax22d::Rotated	(	const gp_Pnt2d &	theP,
		const double	theAng ) const

inline

Rotates an axis placement. <theA1> is the axis of the rotation. theAng is the angular value of the rotation in radians.

◆ Scale()

void gp_Ax22d::Scale	(	const gp_Pnt2d &	theP,
		const double	theS )

inline

◆ Scaled()

gp_Ax22d gp_Ax22d::Scaled	(	const gp_Pnt2d &	theP,
		const double	theS ) const

inline

Applies a scaling transformation on the axis placement. The "Location" point of the axisplacement is modified. Warnings: If the scale <theS> is negative: . the main direction of the axis placement is not changed. . The "XDirection" and the "YDirection" are reversed. So the axis placement stay right handed.

◆ SetAxis()

constexpr void gp_Ax22d::SetAxis ( const gp_Ax22d & theA1 )

inlineconstexprnoexcept

Assigns the origin and the two unit vectors of the coordinate system theA1 to this coordinate system.

◆ SetLocation()

constexpr void gp_Ax22d::SetLocation ( const gp_Pnt2d & theP )

inlineconstexprnoexcept

Changes the "Location" point (origin) of <me>.

◆ SetXAxis()

constexpr void gp_Ax22d::SetXAxis ( const gp_Ax2d & theA1 )

inlineconstexpr

Changes the XAxis and YAxis ("Location" point and "Direction") of <me>. The "YDirection" is recomputed in the same sense as before.

◆ SetXDirection()

constexpr void gp_Ax22d::SetXDirection ( const gp_Dir2d & theVx )

inlineconstexpr

Assigns theVx to the "X Direction" of this coordinate system. The other unit vector of this coordinate system is recomputed, normal to theVx , without modifying the orientation (right-handed or left-handed) of this coordinate system.

◆ SetYAxis()

constexpr void gp_Ax22d::SetYAxis ( const gp_Ax2d & theA1 )

inlineconstexpr

Changes the XAxis and YAxis ("Location" point and "Direction") of <me>. The "XDirection" is recomputed in the same sense as before.

◆ SetYDirection()

constexpr void gp_Ax22d::SetYDirection ( const gp_Dir2d & theVy )

inlineconstexpr

Assigns theVy to the "Y Direction" of this coordinate system. The other unit vector of this coordinate system is recomputed, normal to theVy, without modifying the orientation (right-handed or left-handed) of this coordinate system.

◆ Transform()

void gp_Ax22d::Transform ( const gp_Trsf2d & theT )

inlinenoexcept

◆ Transformed()

gp_Ax22d gp_Ax22d::Transformed ( const gp_Trsf2d & theT ) const

inline

Transforms an axis placement with a Trsf. The "Location" point, the "XDirection" and the "YDirection" are transformed with theT. The resulting main "Direction" of <me> is the cross product between the "XDirection" and the "YDirection" after transformation.

◆ Translate() [1/2]

constexpr void gp_Ax22d::Translate	(	const gp_Pnt2d &	theP1,
		const gp_Pnt2d &	theP2 )

inlineconstexprnoexcept

◆ Translate() [2/2]

constexpr void gp_Ax22d::Translate ( const gp_Vec2d & theV )

inlineconstexprnoexcept

◆ Translated() [1/2]

constexpr gp_Ax22d gp_Ax22d::Translated	(	const gp_Pnt2d &	theP1,
		const gp_Pnt2d &	theP2 ) const

inlineconstexprnoexcept

Translates an axis placement from the point <theP1> to the point <theP2>.

◆ Translated() [2/2]

constexpr gp_Ax22d gp_Ax22d::Translated ( const gp_Vec2d & theV ) const

inlineconstexprnoexcept

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

◆ XAxis()

gp_Ax2d gp_Ax22d::XAxis ( ) const

inline

Returns an axis, for which.

the origin is that of this coordinate system, and
the unit vector is either the "X Direction" of this coordinate system. Note: the result is the "X Axis" of this coordinate system.

◆ XDirection()

constexpr const gp_Dir2d & gp_Ax22d::XDirection ( ) const

inlineconstexprnoexcept

Returns the "XDirection" of <me>.

◆ YAxis()

gp_Ax2d gp_Ax22d::YAxis ( ) const

inline

Returns an axis, for which.

the origin is that of this coordinate system, and
the unit vector is either the "Y Direction" of this coordinate system. Note: the result is the "Y Axis" of this coordinate system.

◆ YDirection()

constexpr const gp_Dir2d & gp_Ax22d::YDirection ( ) const

inlineconstexprnoexcept

Returns the "YDirection" of <me>.

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

gp_Ax22d.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Ax22d() [1/4]

◆ gp_Ax22d() [2/4]

◆ gp_Ax22d() [3/4]

◆ gp_Ax22d() [4/4]

Member Function Documentation

◆ DumpJson()

◆ Location()

◆ Mirror() [1/2]

◆ Mirror() [2/2]

◆ Mirrored() [1/2]

◆ Mirrored() [2/2]

◆ Rotate()

◆ Rotated()

◆ Scale()

◆ Scaled()

◆ SetAxis()

◆ SetLocation()

◆ SetXAxis()

◆ SetXDirection()

◆ SetYAxis()

◆ SetYDirection()

◆ Transform()

◆ Transformed()

◆ Translate() [1/2]

◆ Translate() [2/2]

◆ Translated() [1/2]

◆ Translated() [2/2]

◆ XAxis()

◆ XDirection()

◆ YAxis()

◆ YDirection()