Defines a non-persistent transformation in 3D space. This transformation is a general transformation. It can be a gp_Trsf, an affinity, or you can define your own transformation giving the matrix of transformation.
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| gp_GTrsf () |
| Returns the Identity transformation. More...
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| gp_GTrsf (const gp_Trsf &theT) |
| Converts the gp_Trsf transformation theT into a general transformation, i.e. Returns a GTrsf with the same matrix of coefficients as the Trsf theT. More...
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| gp_GTrsf (const gp_Mat &theM, const gp_XYZ &theV) |
| Creates a transformation based on the matrix theM and the vector theV where theM defines the vectorial part of the transformation, and V the translation part, or. More...
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void | SetAffinity (const gp_Ax1 &theA1, const Standard_Real theRatio) |
| Changes this transformation into an affinity of ratio theRatio with respect to the axis theA1. 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 theA1 or the plane A2, the vectors HP and HP' satisfy: HP' = theRatio * HP. More...
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void | SetAffinity (const gp_Ax2 &theA2, const Standard_Real theRatio) |
| Changes this transformation into an affinity of ratio theRatio with respect to the plane defined by the origin, the "X Direction" and the "Y Direction" of coordinate system theA2. 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 A1 or the plane theA2, 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 > 3 or theCol < 1 or theCol > 4. More...
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void | SetVectorialPart (const gp_Mat &theMatrix) |
| Replaces the vectorial part of this transformation by theMatrix. More...
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void | SetTranslationPart (const gp_XYZ &theCoord) |
| Replaces the translation part of this transformation by the coordinates of the number triple theCoord. More...
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void | SetTrsf (const gp_Trsf &theT) |
| Assigns the vectorial and translation parts of theT to this transformation. 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, an axis or a plane), a scaling transformation, a compound transformation or some other type of transformation. More...
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void | SetForm () |
| verify and set the shape of the GTrsf Other or CompoundTrsf Ex : More...
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const gp_XYZ & | TranslationPart () const |
| Returns the translation part of the GTrsf. More...
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const gp_Mat & | VectorialPart () const |
| Computes the vectorial part of the GTrsf. The returned Matrix is a 3*3 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. Raises OutOfRange if theRow < 1 or theRow > 3 or theCol < 1 or theCol > 4. 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_GTrsf | Inverted () const |
| Computes the reverse transformation. Raises an exception if the matrix of the transformation is not inversible. More...
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gp_GTrsf | Multiplied (const gp_GTrsf &theT) const |
| Computes the transformation composed from theT and <me>. In a C++ implementation you can also write Tcomposed = <me> * theT. Example : More...
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gp_GTrsf | operator* (const gp_GTrsf &theT) const |
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void | Multiply (const gp_GTrsf &theT) |
| Computes the transformation composed with <me> and theT. <me> = <me> * theT. More...
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void | operator*= (const gp_GTrsf &theT) |
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void | PreMultiply (const gp_GTrsf &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_GTrsf | Powered (const Standard_Integer theN) const |
| Computes: More...
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void | Transforms (gp_XYZ &theCoord) const |
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void | Transforms (Standard_Real &theX, Standard_Real &theY, Standard_Real &theZ) const |
| Transforms a triplet XYZ with a GTrsf. More...
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gp_Trsf | Trsf () const |
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template<class T > |
void | GetMat4 (NCollection_Mat4< T > &theMat) const |
| Convert transformation to 4x4 matrix. More...
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template<class T > |
void | SetMat4 (const NCollection_Mat4< T > &theMat) |
| Convert transformation from 4x4 matrix. More...
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void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const |
| Dumps the content of me into the stream. More...
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Defines a non-persistent transformation in 3D space. This transformation is a general transformation. It can be a gp_Trsf, an affinity, or you can define your own transformation giving the matrix of transformation.
With a gp_GTrsf you can transform only a triplet of coordinates gp_XYZ. It is not possible to transform other geometric objects because these transformations can change the nature of non-elementary geometric objects. The transformation gp_GTrsf can be represented as follow:
V1 V2 V3 T XYZ XYZ
| a11 a12 a13 a14 | |
x | |
x'|
| a21 a22 a23 a24 | | y | | y'|
| a31 a32 a33 a34 | |
z | = |
z'|
| 0 0 0 1 | | 1 | | 1 |
GLint GLint GLint z
Definition: OpenGl_GLESExtensions.hxx:170
GLint GLint GLint GLint GLint x
Definition: OpenGl_GLESExtensions.hxx:132
where {V1, V2, V3} define the vectorial part of the transformation and T defines the translation part of the transformation. Warning A gp_GTrsf transformation is only applicable to coordinates. Be careful if you apply such a transformation to all 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_Trsf transformation instead, as objects of this class respect the nature of geometric objects.