The class Transformation allows to create Translation, Rotation, Symmetry, Scaling and complex transformations obtained by combination of the previous elementary transformations. 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 Geom2d_Transformation. The transformation can be represented as follow : More...
#include <Geom2d_Transformation.hxx>
Public Member Functions | |
| Geom2d_Transformation () | |
| Creates an identity transformation. More... | |
| Geom2d_Transformation (const gp_Trsf2d &T) | |
| Creates a persistent copy of T. More... | |
| void | SetMirror (const gp_Pnt2d &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_Ax2d &A) |
| Makes the transformation into a symmetrical transformation with respect to an axis A. A is the center of the axial symmetry. More... | |
| void | SetRotation (const gp_Pnt2d &P, const Standard_Real Ang) |
| Assigns to this transformation the geometric properties of a rotation at angle Ang (in radians) about point P. More... | |
| void | SetScale (const gp_Pnt2d &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_Ax2d &FromSystem1, const gp_Ax2d &ToSystem2) |
| Makes a transformation allowing passage from the coordinate system "FromSystem1" to the coordinate system "ToSystem2". More... | |
| void | SetTransformation (const gp_Ax2d &ToSystem) |
| Makes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.)} to the local coordinate system defined with the Ax2d ToSystem. More... | |
| void | SetTranslation (const gp_Vec2d &V) |
| Makes the transformation into a translation. V is the vector of the translation. More... | |
| void | SetTranslation (const gp_Pnt2d &P1, const gp_Pnt2d &P2) |
| Makes the transformation into a translation from the point P1 to the point P2. More... | |
| void | SetTrsf2d (const gp_Trsf2d &T) |
| Makes the transformation into a transformation T from package gp. 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. Returns the nature of the transformation. It can be Identity, Rotation, Translation, PntMirror, Ax1Mirror, Scale, CompoundTrsf. More... | |
| Standard_Real | ScaleFactor () const |
| Returns the scale value of the transformation. More... | |
| gp_Trsf2d | Trsf2d () const |
| Converts this transformation into a gp_Trsf2d transformation. Returns a non persistent copy of <me>. -C++: return const&. 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 2 rows X 3 columns matrix. More... | |
| void | Invert () |
| Computes the inverse of this transformation. and assigns the result to this transformatio. More... | |
| Handle< Geom2d_Transformation > | Inverted () const |
| Computes the inverse of this transformation and creates a new one. Raises ConstructionError if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. More... | |
| Handle< Geom2d_Transformation > | Multiplied (const Handle< Geom2d_Transformation > &Other) const |
| Computes the transformation composed with Other and <me>. <me> * Other. Returns a new transformation. More... | |
| Handle< Geom2d_Transformation > | operator* (const Handle< Geom2d_Transformation > &Other) const |
| void | Multiply (const Handle< Geom2d_Transformation > &Other) |
| Computes the transformation composed with Other and <me> . <me> = <me> * Other. More... | |
| void | operator*= (const Handle< Geom2d_Transformation > &Other) |
| void | Power (const Standard_Integer N) |
| Raised if N < 0 and if the transformation is not inversible. More... | |
| Handle< Geom2d_Transformation > | Powered (const Standard_Integer N) const |
| Raised if N < 0 and if the transformation is not inversible. More... | |
| void | PreMultiply (const Handle< Geom2d_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) const |
| Applies the transformation <me> to the triplet {X, Y}. More... | |
| Handle< Geom2d_Transformation > | Copy () const |
| Creates a new object, which is a copy of this transformation. 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 void | Delete () const |
| Memory deallocator for transient classes. More... | |
| virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
| Returns a type descriptor about this object. More... | |
| Standard_Boolean | IsInstance (const opencascade::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 opencascade::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... | |
| Standard_Transient * | This () const |
| Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More... | |
| Standard_Integer | GetRefCount () const |
| Get the reference counter of this object. More... | |
| void | IncrementRefCounter () const |
| Increments the reference counter of this object. More... | |
| Standard_Integer | DecrementRefCounter () const |
| Decrements the reference counter of this object; returns the decremented value. More... | |
Additional Inherited Members | |
| Public Types inherited from Standard_Transient | |
| typedef void | base_type |
| Returns a type descriptor about this object. More... | |
| Static Public Member Functions inherited from Standard_Transient | |
| static const char * | get_type_name () |
| Returns a type descriptor about this object. More... | |
| static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
| Returns type descriptor of Standard_Transient class. More... | |
Detailed Description
The class Transformation allows to create Translation, Rotation, Symmetry, Scaling and complex transformations obtained by combination of the previous elementary transformations. 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 Geom2d_Transformation. The transformation can be represented as follow :
V1 V2 T | a11 a12 a14 | | x | | x'| | a21 a22 a24 | | y | | y'| | 0 0 1 | | 1 | | 1 |
where {V1, V2} defines the vectorial part of the transformation and T defines the translation part of the transformation.
- Geom2d_Transformation transformations provide the same kind of "geometric" services as gp_Trsf2d ones but have more complex data structures. The geometric objects provided by the Geom2d package use gp_Trsf2d transformations in the syntaxes Transform and Transformed.
- Geom2d_Transformation transformations are used in a context where they can be shared by several objects contained inside a common data structure.
Constructor & Destructor Documentation
◆ Geom2d_Transformation() [1/2]
| Geom2d_Transformation::Geom2d_Transformation | ( | ) |
Creates an identity transformation.
◆ Geom2d_Transformation() [2/2]
| Geom2d_Transformation::Geom2d_Transformation | ( | const gp_Trsf2d & | T | ) |
Creates a persistent copy of T.
Member Function Documentation
◆ Copy()
| Handle< Geom2d_Transformation > Geom2d_Transformation::Copy | ( | ) | const |
Creates a new object, which is a copy of this transformation.
◆ Form()
| gp_TrsfForm Geom2d_Transformation::Form | ( | ) | const |
Returns the nature of this transformation as a value of the gp_TrsfForm enumeration. Returns the nature of the transformation. It can be Identity, Rotation, Translation, PntMirror, Ax1Mirror, Scale, CompoundTrsf.
◆ Invert()
| void Geom2d_Transformation::Invert | ( | ) |
Computes the inverse of this transformation. and assigns the result to this transformatio.
Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp.
◆ Inverted()
| Handle< Geom2d_Transformation > Geom2d_Transformation::Inverted | ( | ) | const |
Computes the inverse of this transformation and creates a new one. Raises ConstructionError if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp.
◆ IsNegative()
| Standard_Boolean Geom2d_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.
◆ Multiplied()
| Handle< Geom2d_Transformation > Geom2d_Transformation::Multiplied | ( | const Handle< Geom2d_Transformation > & | Other | ) | const |
Computes the transformation composed with Other and <me>. <me> * Other. Returns a new transformation.
◆ Multiply()
| void Geom2d_Transformation::Multiply | ( | const Handle< Geom2d_Transformation > & | Other | ) |
◆ operator*()
|
inline |
◆ operator*=()
|
inline |
◆ Power()
| void Geom2d_Transformation::Power | ( | const Standard_Integer | N | ) |
Raised if N < 0 and if the transformation is not inversible.
◆ Powered()
| Handle< Geom2d_Transformation > Geom2d_Transformation::Powered | ( | const Standard_Integer | N | ) | const |
Raised if N < 0 and if the transformation is not inversible.
◆ PreMultiply()
| void Geom2d_Transformation::PreMultiply | ( | const Handle< Geom2d_Transformation > & | Other | ) |
Computes the matrix of the transformation composed with <me> and Other. <me> = Other * <me>
◆ ScaleFactor()
| Standard_Real Geom2d_Transformation::ScaleFactor | ( | ) | const |
Returns the scale value of the transformation.
◆ SetMirror() [1/2]
| void Geom2d_Transformation::SetMirror | ( | const gp_Pnt2d & | P | ) |
Makes the transformation into a symmetrical transformation with respect to a point P. P is the center of the symmetry.
◆ SetMirror() [2/2]
| void Geom2d_Transformation::SetMirror | ( | const gp_Ax2d & | A | ) |
Makes the transformation into a symmetrical transformation with respect to an axis A. A is the center of the axial symmetry.
◆ SetRotation()
| void Geom2d_Transformation::SetRotation | ( | const gp_Pnt2d & | P, |
| const Standard_Real | Ang | ||
| ) |
Assigns to this transformation the geometric properties of a rotation at angle Ang (in radians) about point P.
◆ SetScale()
| void Geom2d_Transformation::SetScale | ( | const gp_Pnt2d & | P, |
| const Standard_Real | S | ||
| ) |
Makes the transformation into a scale. P is the center of the scale and S is the scaling value.
◆ SetTransformation() [1/2]
| void Geom2d_Transformation::SetTransformation | ( | const gp_Ax2d & | FromSystem1, |
| const gp_Ax2d & | ToSystem2 | ||
| ) |
Makes a transformation allowing passage from the coordinate system "FromSystem1" to the coordinate system "ToSystem2".
◆ SetTransformation() [2/2]
| void Geom2d_Transformation::SetTransformation | ( | const gp_Ax2d & | ToSystem | ) |
Makes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.)} to the local coordinate system defined with the Ax2d ToSystem.
◆ SetTranslation() [1/2]
| void Geom2d_Transformation::SetTranslation | ( | const gp_Vec2d & | V | ) |
Makes the transformation into a translation. V is the vector of the translation.
◆ SetTranslation() [2/2]
Makes the transformation into a translation from the point P1 to the point P2.
◆ SetTrsf2d()
| void Geom2d_Transformation::SetTrsf2d | ( | const gp_Trsf2d & | T | ) |
Makes the transformation into a transformation T from package gp.
◆ Transforms()
| void Geom2d_Transformation::Transforms | ( | Standard_Real & | X, |
| Standard_Real & | Y | ||
| ) | const |
Applies the transformation <me> to the triplet {X, Y}.
◆ Trsf2d()
| gp_Trsf2d Geom2d_Transformation::Trsf2d | ( | ) | const |
Converts this transformation into a gp_Trsf2d transformation. Returns a non persistent copy of <me>. -C++: return const&.
◆ Value()
| Standard_Real Geom2d_Transformation::Value | ( | const Standard_Integer | Row, |
| const Standard_Integer | Col | ||
| ) | const |
Returns the coefficients of the global matrix of tranformation. It is a 2 rows X 3 columns matrix.
Raised if Row < 1 or Row > 2 or Col < 1 or Col > 2
Computes the reverse transformation.
The documentation for this class was generated from the following file:
