Open CASCADE Technology
7.6.0.dev

Describes an axis in 3D space. An axis is defined by: More...
#include <gp_Ax1.hxx>
Public Member Functions  
gp_Ax1 ()  
Creates an axis object representing Z axis of the reference coordinate system. More...  
gp_Ax1 (const gp_Pnt &P, const gp_Dir &V)  
P is the location point and V is the direction of <me>. More...  
void  SetDirection (const gp_Dir &V) 
Assigns V as the "Direction" of this axis. More...  
void  SetLocation (const gp_Pnt &P) 
Assigns P as the origin of this axis. More...  
const gp_Dir &  Direction () const 
Returns the direction of <me>. More...  
const gp_Pnt &  Location () const 
Returns the location point of <me>. More...  
Standard_Boolean  IsCoaxial (const gp_Ax1 &Other, const Standard_Real AngularTolerance, const Standard_Real 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. More...  
Standard_Boolean  IsNormal (const gp_Ax1 &Other, const Standard_Real 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.. More...  
Standard_Boolean  IsOpposite (const gp_Ax1 &Other, const Standard_Real 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. More...  
Standard_Boolean  IsParallel (const gp_Ax1 &Other, const Standard_Real 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. More...  
Standard_Real  Angle (const gp_Ax1 &Other) const 
Computes the angular value, in radians, between <me>.Direction() and <Other>.Direction(). Returns the angle between 0 and 2*PI radians. More...  
void  Reverse () 
Reverses the unit vector of this axis. and assigns the result to this axis. More...  
gp_Ax1  Reversed () const 
Reverses the unit vector of this axis and creates a new one. More...  
void  Mirror (const gp_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. More...  
gp_Ax1  Mirrored (const gp_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. More...  
void  Mirror (const gp_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. More...  
gp_Ax1  Mirrored (const gp_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. More...  
void  Mirror (const gp_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. More...  
gp_Ax1  Mirrored (const gp_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. More...  
void  Rotate (const gp_Ax1 &A1, const Standard_Real Ang) 
Rotates this axis at an angle Ang (in radians) about the axis A1 and assigns the result to this axis. More...  
gp_Ax1  Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const 
Rotates this axis at an angle Ang (in radians) about the axis A1 and creates a new one. More...  
void  Scale (const gp_Pnt &P, const Standard_Real S) 
Applies a scaling transformation to this axis with: More...  
gp_Ax1  Scaled (const gp_Pnt &P, const Standard_Real S) const 
Applies a scaling transformation to this axis with: More...  
void  Transform (const gp_Trsf &T) 
Applies the transformation T to this axis. and assigns the result to this axis. More...  
gp_Ax1  Transformed (const gp_Trsf &T) const 
Applies the transformation T to this axis and creates a new one. More...  
void  Translate (const gp_Vec &V) 
Translates this axis by the vector V, and assigns the result to this axis. More...  
gp_Ax1  Translated (const gp_Vec &V) const 
Translates this axis by the vector V, and creates a new one. More...  
void  Translate (const gp_Pnt &P1, const gp_Pnt &P2) 
Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and assigns the result to this axis. More...  
gp_Ax1  Translated (const gp_Pnt &P1, const gp_Pnt &P2) const 
Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and creates a new one. 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 an axis in 3D space. An axis is defined by:
gp_Ax1::gp_Ax1  (  ) 
Creates an axis object representing Z axis of the reference coordinate system.
P is the location point and V is the direction of <me>.
Standard_Real gp_Ax1::Angle  (  const gp_Ax1 &  Other  )  const 
Computes the angular value, in radians, between <me>.Direction() and <Other>.Direction(). Returns the angle between 0 and 2*PI radians.
const gp_Dir& gp_Ax1::Direction  (  )  const 
Returns the direction of <me>.
void gp_Ax1::DumpJson  (  Standard_OStream &  theOStream, 
Standard_Integer  theDepth = 1 

)  const 
Dumps the content of me into the stream.
Standard_Boolean gp_Ax1::InitFromJson  (  const Standard_SStream &  theSStream, 
Standard_Integer &  theStreamPos  
) 
Inits the content of me from the stream.
Standard_Boolean gp_Ax1::IsCoaxial  (  const gp_Ax1 &  Other, 
const Standard_Real  AngularTolerance,  
const Standard_Real  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.
Standard_Boolean gp_Ax1::IsNormal  (  const gp_Ax1 &  Other, 
const Standard_Real  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..
Standard_Boolean gp_Ax1::IsOpposite  (  const gp_Ax1 &  Other, 
const Standard_Real  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.
Standard_Boolean gp_Ax1::IsParallel  (  const gp_Ax1 &  Other, 
const Standard_Real  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.
const gp_Pnt& gp_Ax1::Location  (  )  const 
Returns the location point of <me>.
void gp_Ax1::Mirror  (  const gp_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.
void gp_Ax1::Mirror  (  const gp_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.
void gp_Ax1::Mirror  (  const gp_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.
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.
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.
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.
void gp_Ax1::Reverse  (  ) 
Reverses the unit vector of this axis. and assigns the result to this axis.
gp_Ax1 gp_Ax1::Reversed  (  )  const 
Reverses the unit vector of this axis and creates a new one.
void gp_Ax1::Rotate  (  const gp_Ax1 &  A1, 
const Standard_Real  Ang  
) 
Rotates this axis at an angle Ang (in radians) about the axis A1 and assigns the result to this axis.
gp_Ax1 gp_Ax1::Rotated  (  const gp_Ax1 &  A1, 
const Standard_Real  Ang  
)  const 
Rotates this axis at an angle Ang (in radians) about the axis A1 and creates a new one.
void gp_Ax1::Scale  (  const gp_Pnt &  P, 
const Standard_Real  S  
) 
Applies a scaling transformation to this axis with:
gp_Ax1 gp_Ax1::Scaled  (  const gp_Pnt &  P, 
const Standard_Real  S  
)  const 
Applies a scaling transformation to this axis with:
void gp_Ax1::SetDirection  (  const gp_Dir &  V  ) 
Assigns V as the "Direction" of this axis.
void gp_Ax1::SetLocation  (  const gp_Pnt &  P  ) 
Assigns P as the origin of this axis.
void gp_Ax1::Transform  (  const gp_Trsf &  T  ) 
Applies the transformation T to this axis. and assigns the result to this axis.
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.
Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and assigns the result to this axis.
void gp_Ax1::Translate  (  const gp_Vec &  V  ) 
Translates this axis by the vector V, and assigns the result to this axis.
Translates this axis by: the vector (P1, P2) defined from point P1 to point P2. and creates a new one.
Translates this axis by the vector V, and creates a new one.