gp_Ax22d Class Reference

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

#include <gp_Ax22d.hxx>

Public Member Functions
	gp_Ax22d ()
	Creates an object representing the reference co-ordinate system (OXY). More...
	gp_Ax22d (const gp_Pnt2d &P, const gp_Dir2d &Vx, const gp_Dir2d &Vy)
	Creates a coordinate system with origin P and where: More...
	gp_Ax22d (const gp_Pnt2d &P, const gp_Dir2d &V, const Standard_Boolean Sense=Standard_True)
	Creates - a coordinate system with origin P and "X Direction" V, which is: More...
	gp_Ax22d (const gp_Ax2d &A, const Standard_Boolean Sense=Standard_True)
	Creates - a coordinate system where its origin is the origin of A and its "X Direction" is the unit vector of A, which is: More...
void	SetAxis (const gp_Ax22d &A1)
	Assigns the origin and the two unit vectors of the coordinate system A1 to this coordinate system. More...
void	SetXAxis (const gp_Ax2d &A1)
	Changes the XAxis and YAxis ("Location" point and "Direction") of <me>. The "YDirection" is recomputed in the same sense as before. More...
void	SetYAxis (const gp_Ax2d &A1)
	Changes the XAxis and YAxis ("Location" point and "Direction") of <me>. The "XDirection" is recomputed in the same sense as before. More...
void	SetLocation (const gp_Pnt2d &P)
	Changes the "Location" point (origin) of <me>. More...
void	SetXDirection (const gp_Dir2d &Vx)
	Assigns Vx to the "X Direction" of this coordinate system. The other unit vector of this coordinate system is recomputed, normal to Vx , without modifying the orientation (right-handed or left-handed) of this coordinate system. More...
void	SetYDirection (const gp_Dir2d &Vy)
	Assignsr Vy to the "Y Direction" of this coordinate system. The other unit vector of this coordinate system is recomputed, normal to Vy, without modifying the orientation (right-handed or left-handed) of this coordinate system. More...
gp_Ax2d	XAxis () const
	Returns an axis, for which. More...
gp_Ax2d	YAxis () const
	Returns an axis, for which. More...
const gp_Pnt2d &	Location () const
	Returns the "Location" point (origin) of <me>. More...
const gp_Dir2d &	XDirection () const
	Returns the "XDirection" of <me>. More...
const gp_Dir2d &	YDirection () const
	Returns the "YDirection" of <me>. More...
void	Mirror (const gp_Pnt2d &P)
gp_Ax22d	Mirrored (const gp_Pnt2d &P) const
	Performs the symmetrical transformation of an axis placement with respect to the point P 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. More...
void	Mirror (const gp_Ax2d &A)
gp_Ax22d	Mirrored (const gp_Ax2d &A) const
	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. More...
void	Rotate (const gp_Pnt2d &P, const Standard_Real Ang)
gp_Ax22d	Rotated (const gp_Pnt2d &P, const Standard_Real Ang) const
	Rotates an axis placement. <A1> is the axis of the rotation . Ang is the angular value of the rotation in radians. More...
void	Scale (const gp_Pnt2d &P, const Standard_Real S)
gp_Ax22d	Scaled (const gp_Pnt2d &P, const Standard_Real S) const
	Applies a scaling transformation on the axis placement. The "Location" point of the axisplacement is modified. Warnings : If the scale <S> 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. More...
void	Transform (const gp_Trsf2d &T)
gp_Ax22d	Transformed (const gp_Trsf2d &T) const
	Transforms an axis placement with a Trsf. The "Location" point, the "XDirection" and the "YDirection" are transformed with T. The resulting main "Direction" of <me> is the cross product between the "XDirection" and the "YDirection" after transformation. More...
void	Translate (const gp_Vec2d &V)
gp_Ax22d	Translated (const gp_Vec2d &V) const
	Translates an axis plaxement in the direction of the vector <V>. The magnitude of the translation is the vector's magnitude. More...
void	Translate (const gp_Pnt2d &P1, const gp_Pnt2d &P2)
gp_Ax22d	Translated (const gp_Pnt2d &P1, const gp_Pnt2d &P2) const
	Translates an axis placement from the point <P1> to the point <P2>. More...

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::gp_Ax22d

(

)

Creates an object representing the reference co-ordinate system (OXY).

gp_Ax22d::gp_Ax22d	(	const gp_Pnt2d &	P,
		const gp_Dir2d &	Vx,
		const gp_Dir2d &	Vy
	)

Creates a coordinate system with origin P and where:

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

gp_Ax22d::gp_Ax22d	(	const gp_Pnt2d &	P,
		const gp_Dir2d &	V,
		const Standard_Boolean	Sense = Standard_True
	)

Creates - a coordinate system with origin P and "X Direction" V, which is:

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

gp_Ax22d::gp_Ax22d	(	const gp_Ax2d &	A,
		const Standard_Boolean	Sense = Standard_True
	)

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

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

Member Function Documentation

const gp_Pnt2d& gp_Ax22d::Location

(

)

const

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

void gp_Ax22d::Mirror

(

const gp_Pnt2d &

P

)

void gp_Ax22d::Mirror

(

const gp_Ax2d &

A

)

gp_Ax22d gp_Ax22d::Mirrored

(

const gp_Pnt2d &

P

)

const

Performs the symmetrical transformation of an axis placement with respect to the point P 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.

gp_Ax22d gp_Ax22d::Mirrored

(

const gp_Ax2d &

A

)

const

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 gp_Ax22d::Rotate	(	const gp_Pnt2d &	P,
		const Standard_Real	Ang
	)

gp_Ax22d gp_Ax22d::Rotated	(	const gp_Pnt2d &	P,
		const Standard_Real	Ang
	)		const

Rotates an axis placement. <A1> is the axis of the rotation . Ang is the angular value of the rotation in radians.

void gp_Ax22d::Scale	(	const gp_Pnt2d &	P,
		const Standard_Real	S
	)

gp_Ax22d gp_Ax22d::Scaled	(	const gp_Pnt2d &	P,
		const Standard_Real	S
	)		const

Applies a scaling transformation on the axis placement. The "Location" point of the axisplacement is modified. Warnings : If the scale <S> 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 gp_Ax22d::SetAxis

(

const gp_Ax22d &

A1

)

Assigns the origin and the two unit vectors of the coordinate system A1 to this coordinate system.

void gp_Ax22d::SetLocation

(

const gp_Pnt2d &

P

)

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

void gp_Ax22d::SetXAxis

(

const gp_Ax2d &

A1

)

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

void gp_Ax22d::SetXDirection

(

const gp_Dir2d &

Vx

)

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

void gp_Ax22d::SetYAxis

(

const gp_Ax2d &

A1

)

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

void gp_Ax22d::SetYDirection

(

const gp_Dir2d &

Vy

)

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

void gp_Ax22d::Transform

(

const gp_Trsf2d &

T

)

gp_Ax22d gp_Ax22d::Transformed

(

const gp_Trsf2d &

T

)

const

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

void gp_Ax22d::Translate

(

const gp_Vec2d &

V

)

void gp_Ax22d::Translate	(	const gp_Pnt2d &	P1,
		const gp_Pnt2d &	P2
	)

gp_Ax22d gp_Ax22d::Translated

(

const gp_Vec2d &

V

)

const

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

gp_Ax22d gp_Ax22d::Translated	(	const gp_Pnt2d &	P1,
		const gp_Pnt2d &	P2
	)		const

Translates an axis placement from the point <P1> to the point <P2>.

gp_Ax2d gp_Ax22d::XAxis

(

)

const

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.

const gp_Dir2d& gp_Ax22d::XDirection

(

)

const

Returns the "XDirection" of <me>.

gp_Ax2d gp_Ax22d::YAxis

(

)

const

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.

const gp_Dir2d& gp_Ax22d::YDirection

(

)

const

Returns the "YDirection" of <me>.

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

• gp_Ax22d.hxx