Open CASCADE Technology
7.4.0
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Describes a right-handed 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... | |
Describes a right-handed 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>.
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>.