Describes how to construct the following elementary transformations. More...
#include <Geom_Transformation.hxx>
Public Member Functions | |
| Geom_Transformation () | |
| Creates an identity transformation. More... | |
| Geom_Transformation (const gp_Trsf &T) | |
| Creates a transient copy of T. More... | |
| void | SetMirror (const gp_Pnt &P) |
| Makes the transformation into a symmetrical transformation with respect to a point P. P is the center of the symmetry. More... | |
| void | SetMirror (const gp_Ax1 &A1) |
| Makes the transformation into a symmetrical transformation with respect to an axis A1. A1 is the center of the axial symmetry. More... | |
| void | SetMirror (const gp_Ax2 &A2) |
| Makes the transformation into a symmetrical transformation with respect to a plane. The plane of the symmetry is defined with the axis placement A2. It is the plane (Location, XDirection, YDirection). More... | |
| void | SetRotation (const gp_Ax1 &A1, const Standard_Real Ang) |
| Makes the transformation into a rotation. A1 is the axis rotation and Ang is the angular value of the rotation in radians. More... | |
| void | SetScale (const gp_Pnt &P, const Standard_Real S) |
| Makes the transformation into a scale. P is the center of the scale and S is the scaling value. More... | |
| void | SetTransformation (const gp_Ax3 &FromSystem1, const gp_Ax3 &ToSystem2) |
| Makes a transformation allowing passage from the coordinate system "FromSystem1" to the coordinate system "ToSystem2". Example : In a C++ implementation : Real x1, y1, z1; // are the coordinates of a point in the // local system FromSystem1 Real x2, y2, z2; // are the coordinates of a point in the // local system ToSystem2 gp_Pnt P1 (x1, y1, z1) Geom_Transformation T; T.SetTransformation (FromSystem1, ToSystem2); gp_Pnt P2 = P1.Transformed (T); P2.Coord (x2, y2, z2);. More... | |
| void | SetTransformation (const gp_Ax3 &ToSystem) |
| Makes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.), VZ (0., 0. ,1.) } to the local coordinate system defined with the Ax2 ToSystem. Same utilisation as the previous method. FromSystem1 is defaulted to the absolute coordinate system. More... | |
| void | SetTranslation (const gp_Vec &V) |
| Makes the transformation into a translation. V is the vector of the translation. More... | |
| void | SetTranslation (const gp_Pnt &P1, const gp_Pnt &P2) |
| Makes the transformation into a translation from the point P1 to the point P2. More... | |
| void | SetTrsf (const gp_Trsf &T) |
| Converts the gp_Trsf transformation T into this transformation. More... | |
| Standard_Boolean | IsNegative () const |
| Checks whether this transformation is an indirect transformation: returns true if the determinant of the matrix of the vectorial part of the transformation is less than 0. More... | |
| gp_TrsfForm | Form () const |
| Returns the nature of this transformation as a value of the gp_TrsfForm enumeration. More... | |
| Standard_Real | ScaleFactor () const |
| Returns the scale value of the transformation. More... | |
| const gp_Trsf & | Trsf () const |
| Returns a non transient copy of <me>. More... | |
| Standard_Real | Value (const Standard_Integer Row, const Standard_Integer Col) const |
| Returns the coefficients of the global matrix of tranformation. It is a 3 rows X 4 columns matrix. More... | |
| void | Invert () |
| Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. More... | |
| Handle< Geom_Transformation > | Inverted () const |
| Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. More... | |
| Handle< Geom_Transformation > | Multiplied (const Handle< Geom_Transformation > &Other) const |
| Computes the transformation composed with Other and <me>. <me> * Other. Returns a new transformation. More... | |
| void | Multiply (const Handle< Geom_Transformation > &Other) |
| Computes the transformation composed with Other and <me> . <me> = <me> * Other. More... | |
| void | Power (const Standard_Integer N) |
| Computes the following composition of transformations if N > 0 <me> * <me> * .......* <me>. if N = 0 Identity if N < 0 <me>.Invert() * .........* <me>.Invert() More... | |
| Handle< Geom_Transformation > | Powered (const Standard_Integer N) const |
| Raised if N < 0 and if the transformation is not inversible. More... | |
| void | PreMultiply (const Handle< Geom_Transformation > &Other) |
| Computes the matrix of the transformation composed with <me> and Other. <me> = Other * <me> More... | |
| void | Transforms (Standard_Real &X, Standard_Real &Y, Standard_Real &Z) const |
| Applies the transformation <me> to the triplet {X, Y, Z}. More... | |
| Handle< Geom_Transformation > | Copy () const |
| Creates a new object which is a copy of this transformation. More... | |
 Public Member Functions inherited from MMgt_TShared | |
| virtual void | Delete () const |
| Memory deallocator for transient classes. More... | |
| Public Member Functions inherited from Standard_Transient | |
| Standard_Transient () | |
| Empty constructor. More... | |
| Standard_Transient (const Standard_Transient &) | |
| Copy constructor – does nothing. More... | |
| Standard_Transient & | operator= (const Standard_Transient &) |
| Assignment operator, needed to avoid copying reference counter. More... | |
| virtual | ~Standard_Transient () |
| Destructor must be virtual. More... | |
| virtual const Handle_Standard_Type & | DynamicType () const |
| Returns a type information object about this object. More... | |
| Standard_Boolean | IsInstance (const Handle_Standard_Type &theType) const |
| Returns a true value if this is an instance of Type. More... | |
| Standard_Boolean | IsInstance (const Standard_CString theTypeName) const |
| Returns a true value if this is an instance of TypeName. More... | |
| Standard_Boolean | IsKind (const Handle_Standard_Type &theType) const |
| Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
| Standard_Boolean | IsKind (const Standard_CString theTypeName) const |
| Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
| virtual Handle_Standard_Transient | This () const |
| Returns a Handle which references this object. Must never be called to objects created in stack. More... | |
| Standard_Integer | GetRefCount () const |
| Get the reference counter of this object. More... | |
Detailed Description
Describes how to construct the following elementary transformations.
- translations,
- rotations,
- symmetries,
- scales. The Transformation class can also be used to construct complex transformations by combining these elementary transformations. However, these transformations can never change the type of an object. For example, the projection transformation can change a circle into an ellipse, and therefore change the real type of the object. Such a transformation is forbidden in this environment and cannot be a Geom_Transformation. The transformation can be represented as follow :
V1 V2 V3 T | a11 a12 a13 a14 | | x | | x'| | a21 a22 a23 a24 | | y | | y'| | a31 a32 a33 a34 | | z | = | z'| | 0 0 0 1 | | 1 | | 1 |
where {V1, V2, V3} defines the vectorial part of the transformation and T defines the translation part of the transformation. Note: Geom_Transformation transformations provide the same kind of "geometric" services as gp_Trsf ones but have more complex data structures. The geometric objects provided by the Geom package use gp_Trsf transformations in the syntaxes Transform and Transformed. Geom_Transformation transformations are used in a context where they can be shared by several objects contained inside a common data structure.
Constructor & Destructor Documentation
| Geom_Transformation::Geom_Transformation | ( | ) |
Creates an identity transformation.
| Geom_Transformation::Geom_Transformation | ( | const gp_Trsf & | T | ) |
Creates a transient copy of T.
Member Function Documentation
| Handle< Geom_Transformation > Geom_Transformation::Copy | ( | ) | const |
Creates a new object which is a copy of this transformation.
| gp_TrsfForm Geom_Transformation::Form | ( | ) | const |
Returns the nature of this transformation as a value of the gp_TrsfForm enumeration.
| void Geom_Transformation::Invert | ( | ) |
Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp.
| Handle< Geom_Transformation > Geom_Transformation::Inverted | ( | ) | const |
Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp.
| Standard_Boolean Geom_Transformation::IsNegative | ( | ) | const |
Checks whether this transformation is an indirect transformation: returns true if the determinant of the matrix of the vectorial part of the transformation is less than 0.
| Handle< Geom_Transformation > Geom_Transformation::Multiplied | ( | const Handle< Geom_Transformation > & | Other | ) | const |
Computes the transformation composed with Other and <me>. <me> * Other. Returns a new transformation.
| void Geom_Transformation::Multiply | ( | const Handle< Geom_Transformation > & | Other | ) |
Computes the transformation composed with Other and <me> . <me> = <me> * Other.
| void Geom_Transformation::Power | ( | const Standard_Integer | N | ) |
| Handle< Geom_Transformation > Geom_Transformation::Powered | ( | const Standard_Integer | N | ) | const |
Raised if N < 0 and if the transformation is not inversible.
| void Geom_Transformation::PreMultiply | ( | const Handle< Geom_Transformation > & | Other | ) |
Computes the matrix of the transformation composed with <me> and Other. <me> = Other * <me>
| Standard_Real Geom_Transformation::ScaleFactor | ( | ) | const |
Returns the scale value of the transformation.
| void Geom_Transformation::SetMirror | ( | const gp_Pnt & | P | ) |
Makes the transformation into a symmetrical transformation with respect to a point P. P is the center of the symmetry.
| void Geom_Transformation::SetMirror | ( | const gp_Ax1 & | A1 | ) |
Makes the transformation into a symmetrical transformation with respect to an axis A1. A1 is the center of the axial symmetry.
| void Geom_Transformation::SetMirror | ( | const gp_Ax2 & | A2 | ) |
Makes the transformation into a symmetrical transformation with respect to a plane. The plane of the symmetry is defined with the axis placement A2. It is the plane (Location, XDirection, YDirection).
| void Geom_Transformation::SetRotation | ( | const gp_Ax1 & | A1, |
| const Standard_Real | Ang | ||
| ) |
Makes the transformation into a rotation. A1 is the axis rotation and Ang is the angular value of the rotation in radians.
| void Geom_Transformation::SetScale | ( | const gp_Pnt & | P, |
| const Standard_Real | S | ||
| ) |
Makes the transformation into a scale. P is the center of the scale and S is the scaling value.
| void Geom_Transformation::SetTransformation | ( | const gp_Ax3 & | FromSystem1, |
| const gp_Ax3 & | ToSystem2 | ||
| ) |
Makes a transformation allowing passage from the coordinate system "FromSystem1" to the coordinate system "ToSystem2". Example : In a C++ implementation : Real x1, y1, z1; // are the coordinates of a point in the // local system FromSystem1 Real x2, y2, z2; // are the coordinates of a point in the // local system ToSystem2 gp_Pnt P1 (x1, y1, z1) Geom_Transformation T; T.SetTransformation (FromSystem1, ToSystem2); gp_Pnt P2 = P1.Transformed (T); P2.Coord (x2, y2, z2);.
| void Geom_Transformation::SetTransformation | ( | const gp_Ax3 & | ToSystem | ) |
Makes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.), VZ (0., 0. ,1.) } to the local coordinate system defined with the Ax2 ToSystem. Same utilisation as the previous method. FromSystem1 is defaulted to the absolute coordinate system.
| void Geom_Transformation::SetTranslation | ( | const gp_Vec & | V | ) |
Makes the transformation into a translation. V is the vector of the translation.
Makes the transformation into a translation from the point P1 to the point P2.
| void Geom_Transformation::SetTrsf | ( | const gp_Trsf & | T | ) |
Converts the gp_Trsf transformation T into this transformation.
| void Geom_Transformation::Transforms | ( | Standard_Real & | X, |
| Standard_Real & | Y, | ||
| Standard_Real & | Z | ||
| ) | const |
Applies the transformation <me> to the triplet {X, Y, Z}.
| const gp_Trsf& Geom_Transformation::Trsf | ( | ) | const |
Returns a non transient copy of <me>.
| Standard_Real Geom_Transformation::Value | ( | const Standard_Integer | Row, |
| const Standard_Integer | Col | ||
| ) | const |
Returns the coefficients of the global matrix of tranformation. It is a 3 rows X 4 columns matrix.
Raised if Row < 1 or Row > 3 or Col < 1 or Col > 4
Computes the reverse transformation.
The documentation for this class was generated from the following file:
