/usr/include/oce/gp_GTrsf2d.hxx is in liboce-foundation-dev 0.17.2-2.
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// Please do not edit this file; modify original file instead.
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// this header file considered to be the "object code" form of the original source.
#ifndef _gp_GTrsf2d_HeaderFile
#define _gp_GTrsf2d_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <gp_Mat2d.hxx>
#include <gp_XY.hxx>
#include <gp_TrsfForm.hxx>
#include <Standard_Real.hxx>
#include <Standard_Storable.hxx>
#include <Standard_Integer.hxx>
#include <Standard_Boolean.hxx>
#include <Standard_PrimitiveTypes.hxx>
class Standard_ConstructionError;
class Standard_OutOfRange;
class gp_Trsf2d;
class gp_Mat2d;
class gp_XY;
class gp_Ax2d;
Standard_EXPORT const Handle(Standard_Type)& STANDARD_TYPE(gp_GTrsf2d);
//! Defines a non persistent transformation in 2D space.
//! This transformation is a general transformation.
//! It can be a Trsf2d from package gp, an affinity, or you can
//! define your own transformation giving the corresponding
//! matrix of transformation.
//!
//! With a GTrsf2d you can transform only a doublet of coordinates
//! XY. It is not possible to transform other geometric objects
//! because these transformations can change the nature of non-
//! elementary geometric objects.
//! A 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 |
//!
//! where {V1, V2} defines the vectorial part of the
//! transformation and T defines the translation part of
//! the transformation.
//! Warning
//! A 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.
class gp_GTrsf2d
{
public:
DEFINE_STANDARD_ALLOC
//! returns identity transformation.
gp_GTrsf2d();
//! Converts the gp_Trsf2d transformation T into a
//! general transformation.
gp_GTrsf2d(const gp_Trsf2d& T);
//! Creates a transformation based on the matrix M and the
//! vector V where M defines the vectorial part of the
//! transformation, and V the translation part.
gp_GTrsf2d(const gp_Mat2d& M, const gp_XY& V);
//! Changes this transformation into an affinity of ratio Ratio
//! with respect to the axis A.
//! 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 A, the vectors
//! HP and HP' satisfy: HP' = Ratio * HP.
Standard_EXPORT void SetAffinity (const gp_Ax2d& A, const Standard_Real Ratio) ;
//! Replaces the coefficient (Row, Col) of the matrix representing
//! this transformation by Value,
//! Raises OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 3
void SetValue (const Standard_Integer Row, const Standard_Integer Col, const Standard_Real Value) ;
//! Replacesthe translation part of this
//! transformation by the coordinates of the number pair Coord.
Standard_EXPORT void SetTranslationPart (const gp_XY& Coord) ;
//! Assigns the vectorial and translation parts of T to this transformation.
void SetTrsf2d (const gp_Trsf2d& T) ;
//! Replaces the vectorial part of this transformation by Matrix.
void SetVectorialPart (const gp_Mat2d& Matrix) ;
//! Returns true if the determinant of the vectorial part of
//! this transformation is negative.
Standard_Boolean IsNegative() 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.
Standard_Boolean IsSingular() 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.
gp_TrsfForm Form() const;
//! Returns the translation part of the GTrsf2d.
const gp_XY& TranslationPart() const;
//! Computes the vectorial part of the GTrsf2d. The returned
//! Matrix is a 2*2 matrix.
const gp_Mat2d& VectorialPart() const;
//! Returns the coefficients of the global matrix of transformation.
//! Raised OutOfRange if Row < 1 or Row > 2 or Col < 1 or Col > 3
Standard_Real Value (const Standard_Integer Row, const Standard_Integer Col) const;
Standard_Real operator() (const Standard_Integer Row, const Standard_Integer Col) const
{
return Value(Row,Col);
}
Standard_EXPORT void Invert() ;
//! Computes the reverse transformation.
//! Raised an exception if the matrix of the transformation
//! is not inversible.
gp_GTrsf2d Inverted() const;
//! Computes the transformation composed with T and <me>.
//! In a C++ implementation you can also write Tcomposed = <me> * T.
//! Example :
//! GTrsf2d T1, T2, Tcomp; ...............
//! //composition :
//! Tcomp = T2.Multiplied(T1); // or (Tcomp = T2 * T1)
//! // transformation of a point
//! XY P(10.,3.);
//! XY P1(P);
//! Tcomp.Transforms(P1); //using Tcomp
//! XY P2(P);
//! T1.Transforms(P2); //using T1 then T2
//! T2.Transforms(P2); // P1 = P2 !!!
gp_GTrsf2d Multiplied (const gp_GTrsf2d& T) const;
gp_GTrsf2d operator * (const gp_GTrsf2d& T) const
{
return Multiplied(T);
}
Standard_EXPORT void Multiply (const gp_GTrsf2d& T) ;
void operator *= (const gp_GTrsf2d& T)
{
Multiply(T);
}
//! Computes the product of the transformation T and this
//! transformation, and assigns the result to this transformation:
//! this = T * this
Standard_EXPORT void PreMultiply (const gp_GTrsf2d& T) ;
Standard_EXPORT void Power (const Standard_Integer N) ;
//! Computes the following composition of transformations
//! <me> * <me> * .......* <me>, N time.
//! if N = 0 <me> = Identity
//! if N < 0 <me> = <me>.Inverse() *...........* <me>.Inverse().
//!
//! Raises an exception if N < 0 and if the matrix of the
//! transformation is not inversible.
gp_GTrsf2d Powered (const Standard_Integer N) const;
void Transforms (gp_XY& Coord) const;
gp_XY Transformed (const gp_XY& Coord) const;
//! Applies this transformation to the coordinates:
//! - of the number pair Coord, or
//! - X and Y.
//!
//! Note:
//! - Transforms modifies X, Y, or the coordinate pair Coord, while
//! - Transformed creates a new coordinate pair.
void Transforms (Standard_Real& X, Standard_Real& Y) 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.
Standard_EXPORT gp_Trsf2d Trsf2d() const;
const gp_Mat2d& _CSFDB_Getgp_GTrsf2dmatrix() const { return matrix; }
const gp_XY& _CSFDB_Getgp_GTrsf2dloc() const { return loc; }
gp_TrsfForm _CSFDB_Getgp_GTrsf2dshape() const { return shape; }
void _CSFDB_Setgp_GTrsf2dshape(const gp_TrsfForm p) { shape = p; }
Standard_Real _CSFDB_Getgp_GTrsf2dscale() const { return scale; }
void _CSFDB_Setgp_GTrsf2dscale(const Standard_Real p) { scale = p; }
protected:
private:
gp_Mat2d matrix;
gp_XY loc;
gp_TrsfForm shape;
Standard_Real scale;
};
#include <gp_GTrsf2d.lxx>
#endif // _gp_GTrsf2d_HeaderFile
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