Public 成员函数
	GAx2 ()

	GAx2 (GPnt P, GDir N, GDir Vx)

	GAx2 (GPnt P, GDir V)

void	SetAxis (GAx1 A1)

void	SetDirection (GDir V)

void	SetLocation (GPnt theP)

void	SetXDirection (GDir theVx)

void	SetYDirection (GDir theVy)

double	Angle (GAx2 theOther)

GAx1	Axis ()

GDir	Direction ()

GPnt	Location ()

GDir	XDirection ()

GDir	YDirection ()

boolean	IsCoplanar (GAx2 Other, double LinearTolerance, double AngularTolerance)

boolean	IsCoplanar (GAx1 A1, double LinearTolerance, double AngularTolerance)

void	Mirror (GPnt P)

GAx2	Mirrored (GPnt P)

void	Mirror (GAx1 A1)

GAx2	Mirrored (GAx1 A1)

void	Mirror (GAx2 A2)

GAx2	Mirrored (GAx2 A2)

void	Rotate (GAx1 theA1, double theAng)

GAx2	Rotated (GAx1 theA1, double theAng)

void	Scale (GPnt theP, double theS)

GAx2	Scaled (GPnt theP, double theS)

void	Transform (GTrsf theT)

GAx2	Transformed (GTrsf theT)

void	Translate (GVec theV)

GAx2	Translated (GVec theV)

void	Translate (GPnt theP1, GPnt theP2)

GAx2	Translated (GPnt theP1, GPnt theP2)

详细描述

Describes a right-handed coordinate system in 3D space. A coordinate system is defined by: - its origin (also referred to as its "Location point"), and - three orthogonal unit vectors, termed respectively the "X Direction", the "Y Direction" and the "Direction" (also referred to as the "main Direction"). The "Direction" of the coordinate system is called its "main Direction" because whenever this unit vector is modified, the "X Direction" and the "Y Direction" are recomputed. However, when we modify either the "X Direction" or the "Y Direction", "Direction" is not modified. The "main Direction" is also the "Z Direction". Since an Ax2 coordinate system is right-handed, its "main Direction" is always equal to the cross product of its "X Direction" and "Y Direction". (To define a left-handed coordinate system, use gp_Ax3.) A coordinate system is used: - to describe geometric entities, in particular to position them. The local coordinate system of a geometric entity serves the same purpose as the STEP function "axis placement two axes", or - to define geometric transformations. Note: we refer to the "X Axis", "Y Axis" and "Z Axis", respectively, as to axes having: - the origin of the coordinate system as their origin, and - the unit vectors "X Direction", "Y Direction" and "main Direction", respectively, as their unit vectors. The "Z Axis" is also the "main Axis".

构造及析构函数说明

◆ GAx2() [1/3]

GAx2.GAx2 ( )

Creates an object corresponding to the reference coordinate system (OXYZ).

◆ GAx2() [2/3]

GAx2.GAx2	(	GPnt	P,
		GDir	N,
		GDir	Vx )

Creates an axis placement with an origin P such that: - N is the Direction, and - the "X Direction" is normal to N, in the plane defined by the vectors (N, Vx): "X Direction" = (N ^ Vx) ^ N, Exception: raises ConstructionError if N and Vx are parallel (same or opposite orientation).

◆ GAx2() [3/3]

GAx2.GAx2	(	GPnt	P,
		GDir	V )

Creates - a coordinate system with an origin P, where V gives the "main Direction" (here, "X Direction" and "Y Direction" are defined automatically).

成员函数说明

◆ Angle()

double GAx2.Angle ( GAx2 theOther )

Computes the angular value, in radians, between the main direction of <me> and the main direction of <theOther>. Returns the angle between 0 and PI in radians.

◆ Axis()

GAx1 GAx2.Axis ( )

Returns the main axis of <me>. It is the "Location" point and the main "Direction".

◆ Direction()

GDir GAx2.Direction ( )

Returns the main direction of <me>.

◆ IsCoplanar()

boolean GAx2.IsCoplanar	(	GAx1	A1,
		double	LinearTolerance,
		double	AngularTolerance )

Returns True if . the distance between <me> and the "Location" point of A1 is lower of equal to LinearTolerance and . the main direction of <me> and the direction of A1 are normal. Note: the tolerance criterion for angular equality is given by AngularTolerance.

◆ Location()

GPnt GAx2.Location ( )

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

◆ Mirror() [1/3]

void GAx2.Mirror ( GAx1 A1 )

Performs a symmetrical transformation of this coordinate system with respect to: - the axis A1, and assigns the result to this coordinate systeme. Warning This transformation is always performed on the origin. In case of a reflection with respect to a point: - the main direction of the coordinate system is not changed, and - the "X Direction" and the "Y Direction" are simply reversed In case of a reflection with respect to an axis or a plane: - the transformation is applied to the "X Direction" and the "Y Direction", then - the "main Direction" is recomputed as the cross product "X Direction" ^ "Y Direction". This maintains the right-handed property of the coordinate system.

◆ Mirror() [2/3]

void GAx2.Mirror ( GAx2 A2 )

Performs a symmetrical transformation of this coordinate system with respect to: - the plane defined by the origin, "X Direction" and "Y Direction" of coordinate system A2 and assigns the result to this coordinate systeme. Warning This transformation is always performed on the origin. In case of a reflection with respect to a point: - the main direction of the coordinate system is not changed, and - the "X Direction" and the "Y Direction" are simply reversed In case of a reflection with respect to an axis or a plane: - the transformation is applied to the "X Direction" and the "Y Direction", then - the "main Direction" is recomputed as the cross product "X Direction" ^ "Y Direction". This maintains the right-handed property of the coordinate system.

◆ Mirror() [3/3]

void GAx2.Mirror ( GPnt P )

Performs a symmetrical transformation of this coordinate system with respect to: - the point P, and assigns the result to this coordinate system. Warning This transformation is always performed on the origin. In case of a reflection with respect to a point: - the main direction of the coordinate system is not changed, and - the "X Direction" and the "Y Direction" are simply reversed In case of a reflection with respect to an axis or a plane: - the transformation is applied to the "X Direction" and the "Y Direction", then - the "main Direction" is recomputed as the cross product "X Direction" ^ "Y Direction". This maintains the right-handed property of the coordinate system.

◆ Mirrored() [1/3]

GAx2 GAx2.Mirrored ( GAx1 A1 )

Performs a symmetrical transformation of this coordinate system with respect to: - the axis A1, and creates a new one. Warning This transformation is always performed on the origin. In case of a reflection with respect to a point: - the main direction of the coordinate system is not changed, and - the "X Direction" and the "Y Direction" are simply reversed In case of a reflection with respect to an axis or a plane: - the transformation is applied to the "X Direction" and the "Y Direction", then - the "main Direction" is recomputed as the cross product "X Direction" ^ "Y Direction". This maintains the right-handed property of the coordinate system.

◆ Mirrored() [2/3]

GAx2 GAx2.Mirrored ( GAx2 A2 )

Performs a symmetrical transformation of this coordinate system with respect to: - the plane defined by the origin, "X Direction" and "Y Direction" of coordinate system A2 and creates a new one. Warning This transformation is always performed on the origin. In case of a reflection with respect to a point: - the main direction of the coordinate system is not changed, and - the "X Direction" and the "Y Direction" are simply reversed In case of a reflection with respect to an axis or a plane: - the transformation is applied to the "X Direction" and the "Y Direction", then - the "main Direction" is recomputed as the cross product "X Direction" ^ "Y Direction". This maintains the right-handed property of the coordinate system.

◆ Mirrored() [3/3]

GAx2 GAx2.Mirrored ( GPnt P )

Performs a symmetrical transformation of this coordinate system with respect to: - the point P, and creates a new one. Warning This transformation is always performed on the origin. In case of a reflection with respect to a point: - the main direction of the coordinate system is not changed, and - the "X Direction" and the "Y Direction" are simply reversed In case of a reflection with respect to an axis or a plane: - the transformation is applied to the "X Direction" and the "Y Direction", then - the "main Direction" is recomputed as the cross product "X Direction" ^ "Y Direction". This maintains the right-handed property of the coordinate system.

◆ Rotated()

GAx2 GAx2.Rotated	(	GAx1	theA1,
		double	theAng )

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

◆ Scaled()

GAx2 GAx2.Scaled	(	GPnt	theP,
		double	theS )

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.

◆ SetAxis()

void GAx2.SetAxis ( GAx1 A1 )

Assigns the origin and "main Direction" of the axis A1 to this coordinate system, then recomputes its "X Direction" and "Y Direction". Note: The new "X Direction" is computed as follows: new "X Direction" = V1 ^(previous "X Direction" ^ V) where V is the "Direction" of A1. Exceptions Standard_ConstructionError if A1 is parallel to the "X Direction" of this coordinate system.

◆ SetDirection()

void GAx2.SetDirection ( GDir V )

Changes the "main Direction" of this coordinate system, then recomputes its "X Direction" and "Y Direction". Note: the new "X Direction" is computed as follows: new "X Direction" = V ^ (previous "X Direction" ^ V) Exceptions Standard_ConstructionError if V is parallel to the "X Direction" of this coordinate system.

◆ SetLocation()

void GAx2.SetLocation ( GPnt theP )

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

◆ SetXDirection()

void GAx2.SetXDirection ( GDir theVx )

Changes the "Xdirection" of <me>. The main direction "Direction" is not modified, the "Ydirection" is modified. If <Vx> is not normal to the main direction then <XDirection> is computed as follows XDirection = Direction ^ (Vx ^ Direction). Exceptions Standard_ConstructionError if Vx or Vy is parallel to the "main Direction" of this coordinate system.

◆ SetYDirection()

void GAx2.SetYDirection ( GDir theVy )

Changes the "Ydirection" of <me>. The main direction is not modified but the "Xdirection" is changed. If <Vy> is not normal to the main direction then "YDirection" is computed as follows YDirection = Direction ^ (<Vy> ^ Direction). Exceptions Standard_ConstructionError if Vx or Vy is parallel to the "main Direction" of this coordinate system.

◆ Transformed()

GAx2 GAx2.Transformed ( GTrsf theT )

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.

◆ Translated() [1/2]

GAx2 GAx2.Translated	(	GPnt	theP1,
		GPnt	theP2 )

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

◆ Translated() [2/2]

GAx2 GAx2.Translated ( GVec theV )

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

◆ XDirection()

GDir GAx2.XDirection ( )

Returns the "XDirection" of <me>.

◆ YDirection()

GDir GAx2.YDirection ( )

Returns the "YDirection" of <me>.

Public 成员函数