Open CASCADE Technology
7.5.0

Describes a righthanded coordinate system in 3D space. A coordinate system is defined by: More...
#include <gp_Ax2.hxx>
Public Member Functions  
gp_Ax2 ()  
Creates an object corresponding to the reference coordinate system (OXYZ). More...  
gp_Ax2 (const gp_Pnt &P, const gp_Dir &N, const gp_Dir &Vx)  
Creates an axis placement with an origin P such that: More...  
gp_Ax2 (const gp_Pnt &P, const gp_Dir &V)  
Creates  a coordinate system with an origin P, where V gives the "main Direction" (here, "X Direction" and "Y
Direction" are defined automatically). More...  
void  SetAxis (const gp_Ax1 &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. More...  
void  SetDirection (const gp_Dir &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. More...  
void  SetLocation (const gp_Pnt &P) 
Changes the "Location" point (origin) of <me>. More...  
void  SetXDirection (const gp_Dir &Vx) 
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. More...  
void  SetYDirection (const gp_Dir &Vy) 
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. More...  
Standard_Real  Angle (const gp_Ax2 &Other) const 
Computes the angular value, in radians, between the main direction of <me> and the main direction of <Other>. Returns the angle between 0 and PI in radians. More...  
const gp_Ax1 &  Axis () const 
Returns the main axis of <me>. It is the "Location" point and the main "Direction". More...  
const gp_Dir &  Direction () const 
Returns the main direction of <me>. More...  
const gp_Pnt &  Location () const 
Returns the "Location" point (origin) of <me>. More...  
const gp_Dir &  XDirection () const 
Returns the "XDirection" of <me>. More...  
const gp_Dir &  YDirection () const 
Returns the "YDirection" of <me>. More...  
Standard_Boolean  IsCoplanar (const gp_Ax2 &Other, const Standard_Real LinearTolerance, const Standard_Real AngularTolerance) const 
Standard_Boolean  IsCoplanar (const gp_Ax1 &A1, const Standard_Real LinearTolerance, const Standard_Real AngularTolerance) const 
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. More...  
void  Mirror (const gp_Pnt &P) 
Performs a symmetrical transformation of this coordinate system with respect to: More...  
gp_Ax2  Mirrored (const gp_Pnt &P) const 
Performs a symmetrical transformation of this coordinate system with respect to: More...  
void  Mirror (const gp_Ax1 &A1) 
Performs a symmetrical transformation of this coordinate system with respect to: More...  
gp_Ax2  Mirrored (const gp_Ax1 &A1) const 
Performs a symmetrical transformation of this coordinate system with respect to: More...  
void  Mirror (const gp_Ax2 &A2) 
Performs a symmetrical transformation of this coordinate system with respect to: More...  
gp_Ax2  Mirrored (const gp_Ax2 &A2) const 
Performs a symmetrical transformation of this coordinate system with respect to: More...  
void  Rotate (const gp_Ax1 &A1, const Standard_Real Ang) 
gp_Ax2  Rotated (const gp_Ax1 &A1, 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_Pnt &P, const Standard_Real S) 
gp_Ax2  Scaled (const gp_Pnt &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_Trsf &T) 
gp_Ax2  Transformed (const gp_Trsf &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_Vec &V) 
gp_Ax2  Translated (const gp_Vec &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_Pnt &P1, const gp_Pnt &P2) 
gp_Ax2  Translated (const gp_Pnt &P1, const gp_Pnt &P2) const 
Translates an axis placement from the point <P1> to the point <P2>. 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...  
Describes a righthanded coordinate system in 3D space. A coordinate system is defined by:
gp_Ax2::gp_Ax2  (  ) 
Creates an object corresponding to the reference coordinate system (OXYZ).
Creates an axis placement with an origin P such that:
Creates  a coordinate system with an origin P, where V gives the "main Direction" (here, "X Direction" and "Y Direction" are defined automatically).
Standard_Real gp_Ax2::Angle  (  const gp_Ax2 &  Other  )  const 
Computes the angular value, in radians, between the main direction of <me> and the main direction of <Other>. Returns the angle between 0 and PI in radians.
const gp_Ax1& gp_Ax2::Axis  (  )  const 
Returns the main axis of <me>. It is the "Location" point and the main "Direction".
const gp_Dir& gp_Ax2::Direction  (  )  const 
Returns the main direction of <me>.
void gp_Ax2::DumpJson  (  Standard_OStream &  theOStream, 
Standard_Integer  theDepth = 1 

)  const 
Dumps the content of me into the stream.
Standard_Boolean gp_Ax2::InitFromJson  (  const Standard_SStream &  theSStream, 
Standard_Integer &  theStreamPos  
) 
Inits the content of me from the stream.
Standard_Boolean gp_Ax2::IsCoplanar  (  const gp_Ax2 &  Other, 
const Standard_Real  LinearTolerance,  
const Standard_Real  AngularTolerance  
)  const 
Standard_Boolean gp_Ax2::IsCoplanar  (  const gp_Ax1 &  A1, 
const Standard_Real  LinearTolerance,  
const Standard_Real  AngularTolerance  
)  const 
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.
const gp_Pnt& gp_Ax2::Location  (  )  const 
Returns the "Location" point (origin) of <me>.
void gp_Ax2::Mirror  (  const gp_Pnt &  P  ) 
Performs a symmetrical transformation of this coordinate system with respect to:
void gp_Ax2::Mirror  (  const gp_Ax1 &  A1  ) 
Performs a symmetrical transformation of this coordinate system with respect to:
void gp_Ax2::Mirror  (  const gp_Ax2 &  A2  ) 
Performs a symmetrical transformation of this coordinate system with respect to:
Performs a symmetrical transformation of this coordinate system with respect to:
Performs a symmetrical transformation of this coordinate system with respect to:
Performs a symmetrical transformation of this coordinate system with respect to:
void gp_Ax2::Rotate  (  const gp_Ax1 &  A1, 
const Standard_Real  Ang  
) 
gp_Ax2 gp_Ax2::Rotated  (  const gp_Ax1 &  A1, 
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_Ax2::Scale  (  const gp_Pnt &  P, 
const Standard_Real  S  
) 
gp_Ax2 gp_Ax2::Scaled  (  const gp_Pnt &  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_Ax2::SetAxis  (  const gp_Ax1 &  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.
void gp_Ax2::SetDirection  (  const gp_Dir &  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.
void gp_Ax2::SetLocation  (  const gp_Pnt &  P  ) 
Changes the "Location" point (origin) of <me>.
void gp_Ax2::SetXDirection  (  const gp_Dir &  Vx  ) 
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.
void gp_Ax2::SetYDirection  (  const gp_Dir &  Vy  ) 
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.
void gp_Ax2::Transform  (  const gp_Trsf &  T  ) 
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_Ax2::Translate  (  const gp_Vec &  V  ) 
Translates an axis plaxement in the direction of the vector <V>. The magnitude of the translation is the vector's magnitude.
Translates an axis placement from the point <P1> to the point <P2>.
const gp_Dir& gp_Ax2::XDirection  (  )  const 
Returns the "XDirection" of <me>.
const gp_Dir& gp_Ax2::YDirection  (  )  const 
Returns the "YDirection" of <me>.