Defines a non persistent transformation in 2D space. This transformation is a general transformation. It can be a gp_Trsf2d, an affinity, or you can define your own transformation giving the corresponding matrix of transformation.
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| gp_GTrsf2d () |
| returns identity transformation. More...
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| gp_GTrsf2d (const gp_Trsf2d &theT) |
| Converts the gp_Trsf2d transformation theT into a general transformation. More...
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| gp_GTrsf2d (const gp_Mat2d &theM, const gp_XY &theV) |
| Creates a transformation based on the matrix theM and the vector theV where theM defines the vectorial part of the transformation, and theV the translation part. More...
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void | SetAffinity (const gp_Ax2d &theA, const Standard_Real theRatio) |
| Changes this transformation into an affinity of ratio theRatio with respect to the axis theA. Note: An affinity is a point-by-point transformation that transforms any point P into a point P' such that if H is the orthogonal projection of P on the axis theA, the vectors HP and HP' satisfy: HP' = theRatio * HP. More...
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void | SetValue (const Standard_Integer theRow, const Standard_Integer theCol, const Standard_Real theValue) |
| Replaces the coefficient (theRow, theCol) of the matrix representing this transformation by theValue, Raises OutOfRange if theRow < 1 or theRow > 2 or theCol < 1 or theCol > 3. More...
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void | SetTranslationPart (const gp_XY &theCoord) |
| Replaces the translation part of this transformation by the coordinates of the number pair theCoord. More...
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void | SetTrsf2d (const gp_Trsf2d &theT) |
| Assigns the vectorial and translation parts of theT to this transformation. More...
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void | SetVectorialPart (const gp_Mat2d &theMatrix) |
| Replaces the vectorial part of this transformation by theMatrix. More...
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Standard_Boolean | IsNegative () const |
| Returns true if the determinant of the vectorial part of this transformation is negative. More...
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Standard_Boolean | IsSingular () const |
| Returns true if this transformation is singular (and therefore, cannot be inverted). Note: The Gauss LU decomposition is used to invert the transformation matrix. Consequently, the transformation is considered as singular if the largest pivot found is less than or equal to gp::Resolution(). Warning If this transformation is singular, it cannot be inverted. More...
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gp_TrsfForm | Form () const |
| Returns the nature of the transformation. It can be an identity transformation, a rotation, a translation, a mirror transformation (relative to a point or axis), a scaling transformation, a compound transformation or some other type of transformation. More...
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const gp_XY & | TranslationPart () const |
| Returns the translation part of the GTrsf2d. More...
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const gp_Mat2d & | VectorialPart () const |
| Computes the vectorial part of the GTrsf2d. The returned Matrix is a 2*2 matrix. More...
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Standard_Real | Value (const Standard_Integer theRow, const Standard_Integer theCol) const |
| Returns the coefficients of the global matrix of transformation. Raised OutOfRange if theRow < 1 or theRow > 2 or theCol < 1 or theCol > 3. More...
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Standard_Real | operator() (const Standard_Integer theRow, const Standard_Integer theCol) const |
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void | Invert () |
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gp_GTrsf2d | Inverted () const |
| Computes the reverse transformation. Raised an exception if the matrix of the transformation is not inversible. More...
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gp_GTrsf2d | Multiplied (const gp_GTrsf2d &theT) const |
| Computes the transformation composed with theT and <me>. In a C++ implementation you can also write Tcomposed = <me> * theT. Example : More...
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gp_GTrsf2d | operator* (const gp_GTrsf2d &theT) const |
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void | Multiply (const gp_GTrsf2d &theT) |
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void | operator*= (const gp_GTrsf2d &theT) |
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void | PreMultiply (const gp_GTrsf2d &theT) |
| Computes the product of the transformation theT and this transformation, and assigns the result to this transformation: this = theT * this. More...
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void | Power (const Standard_Integer theN) |
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gp_GTrsf2d | Powered (const Standard_Integer theN) const |
| Computes the following composition of transformations <me> * <me> * .......* <me>, theN time. if theN = 0 <me> = Identity if theN < 0 <me> = <me>.Inverse() *...........* <me>.Inverse(). More...
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void | Transforms (gp_XY &theCoord) const |
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gp_XY | Transformed (const gp_XY &theCoord) const |
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void | Transforms (Standard_Real &theX, Standard_Real &theY) const |
| Applies this transformation to the coordinates: More...
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gp_Trsf2d | Trsf2d () const |
| Converts this transformation into a gp_Trsf2d transformation. Exceptions Standard_ConstructionError if this transformation cannot be converted, i.e. if its form is gp_Other. More...
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Defines a non persistent transformation in 2D space. This transformation is a general transformation. It can be a gp_Trsf2d, an affinity, or you can define your own transformation giving the corresponding matrix of transformation.
With a gp_GTrsf2d you can transform only a doublet of coordinates gp_XY. It is not possible to transform other geometric objects because these transformations can change the nature of non-elementary geometric objects. A gp_GTrsf2d is represented with a 2 rows * 3 columns matrix:
V1 V2 T XY XY
| a11 a12 a14 | |
x | |
x'|
| a21 a22 a24 | | y | = | y'|
| 0 0 1 | | 1 | | 1 |
GLint GLint GLint GLint GLint x
Definition: OpenGl_GLESExtensions.hxx:132
where {V1, V2} defines the vectorial part of the transformation and T defines the translation part of the transformation. Warning A gp_GTrsf2d transformation is only applicable on coordinates. Be careful if you apply such a transformation to all the points of a geometric object, as this can change the nature of the object and thus render it incoherent! Typically, a circle is transformed into an ellipse by an affinity transformation. To avoid modifying the nature of an object, use a gp_Trsf2d transformation instead, as objects of this class respect the nature of geometric objects.