--- /dev/null
+// Created on: 1991-09-09
+// Created by: Michel Chauvat
+// Copyright (c) 1991-1999 Matra Datavision
+// Copyright (c) 1999-2014 OPEN CASCADE SAS
+//
+// This file is part of Open CASCADE Technology software library.
+//
+// This library is free software; you can redistribute it and/or modify it under
+// the terms of the GNU Lesser General Public License version 2.1 as published
+// by the Free Software Foundation, with special exception defined in the file
+// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
+// distribution for complete text of the license and disclaimer of any warranty.
+//
+// Alternatively, this file may be used under the terms of Open CASCADE
+// commercial license or contractual agreement.
+
+#ifndef _CSLib_HeaderFile
+#define _CSLib_HeaderFile
+
+#include <Standard.hxx>
+#include <Standard_DefineAlloc.hxx>
+#include <Standard_Handle.hxx>
+
+#include <Standard_Real.hxx>
+#include <CSLib_DerivativeStatus.hxx>
+#include <Standard_Boolean.hxx>
+#include <CSLib_NormalStatus.hxx>
+#include <Standard_Integer.hxx>
+#include <TColgp_Array2OfVec.hxx>
+class gp_Vec;
+class gp_Dir;
+class CSLib_Class2d;
+class CSLib_NormalPolyDef;
+
+
+//! This package implements functions for basis geometric
+//! computation on curves and surfaces.
+//! The tolerance criterions used in this package are
+//! Resolution from package gp and RealEpsilon from class
+//! Real of package Standard.
+class CSLib
+{
+public:
+
+ DEFINE_STANDARD_ALLOC
+
+
+
+ //! The following functions computes the normal to a surface
+ //! inherits FunctionWithDerivative from math
+ //!
+ //! Computes the normal direction of a surface as the cross product
+ //! between D1U and D1V.
+ //! If D1U has null length or D1V has null length or D1U and D1V are
+ //! parallel the normal is undefined.
+ //! To check that D1U and D1V are colinear the sinus of the angle
+ //! between D1U and D1V is computed and compared with SinTol.
+ //! The normal is computed if Status == Done else the Status gives the
+ //! reason why the computation has failed.
+ Standard_EXPORT static void Normal (const gp_Vec& D1U, const gp_Vec& D1V, const Standard_Real SinTol, CSLib_DerivativeStatus& Status, gp_Dir& Normal);
+
+
+ //! If there is a singularity on the surface the previous method
+ //! cannot compute the local normal.
+ //! This method computes an approched normal direction of a surface.
+ //! It does a limited development and needs the second derivatives
+ //! on the surface as input data.
+ //! It computes the normal as follow :
+ //! N(u, v) = D1U ^ D1V
+ //! N(u0+du,v0+dv) = N0 + DN/du(u0,v0) * du + DN/dv(u0,v0) * dv + Eps
+ //! with Eps->0 so we can have the equivalence N ~ dN/du + dN/dv.
+ //! DNu = ||DN/du|| and DNv = ||DN/dv||
+ //!
+ //! . if DNu IsNull (DNu <= Resolution from gp) the answer Done = True
+ //! the normal direction is given by DN/dv
+ //! . if DNv IsNull (DNv <= Resolution from gp) the answer Done = True
+ //! the normal direction is given by DN/du
+ //! . if the two directions DN/du and DN/dv are parallel Done = True
+ //! the normal direction is given either by DN/du or DN/dv.
+ //! To check that the two directions are colinear the sinus of the
+ //! angle between these directions is computed and compared with
+ //! SinTol.
+ //! . if DNu/DNv or DNv/DNu is lower or equal than Real Epsilon
+ //! Done = False, the normal is undefined
+ //! . if DNu IsNull and DNv is Null Done = False, there is an
+ //! indetermination and we should do a limited developpement at
+ //! order 2 (it means that we cannot omit Eps).
+ //! . if DNu Is not Null and DNv Is not Null Done = False, there are
+ //! an infinity of normals at the considered point on the surface.
+ Standard_EXPORT static void Normal (const gp_Vec& D1U, const gp_Vec& D1V, const gp_Vec& D2U, const gp_Vec& D2V, const gp_Vec& D2UV, const Standard_Real SinTol, Standard_Boolean& Done, CSLib_NormalStatus& Status, gp_Dir& Normal);
+
+
+ //! Computes the normal direction of a surface as the cross product
+ //! between D1U and D1V.
+ Standard_EXPORT static void Normal (const gp_Vec& D1U, const gp_Vec& D1V, const Standard_Real MagTol, CSLib_NormalStatus& Status, gp_Dir& Normal);
+
+ //! find the first order k0 of deriviative of NUV
+ //! where: foreach order < k0 all the derivatives of NUV are
+ //! null all the derivatives of NUV corresponding to the order
+ //! k0 are collinear and have the same sens.
+ //! In this case, normal at U,V is unique.
+ Standard_EXPORT static void Normal (const Standard_Integer MaxOrder, const TColgp_Array2OfVec& DerNUV, const Standard_Real MagTol, const Standard_Real U, const Standard_Real V, const Standard_Real Umin, const Standard_Real Umax, const Standard_Real Vmin, const Standard_Real Vmax, CSLib_NormalStatus& Status, gp_Dir& Normal, Standard_Integer& OrderU, Standard_Integer& OrderV);
+
+ //! -- Computes the derivative of order Nu in the --
+ //! direction U and Nv in the direction V of the not --
+ //! normalized normal vector at the point P(U,V) The
+ //! array DerSurf contain the derivative (i,j) of the surface
+ //! for i=0,Nu+1 ; j=0,Nv+1
+ Standard_EXPORT static gp_Vec DNNUV (const Standard_Integer Nu, const Standard_Integer Nv, const TColgp_Array2OfVec& DerSurf);
+
+ //! Computes the derivatives of order Nu in the direction Nu
+ //! and Nv in the direction Nv of the not normalized vector
+ //! N(u,v) = dS1/du * dS2/dv (cases where we use an osculating surface)
+ //! DerSurf1 are the derivatives of S1
+ Standard_EXPORT static gp_Vec DNNUV (const Standard_Integer Nu, const Standard_Integer Nv, const TColgp_Array2OfVec& DerSurf1, const TColgp_Array2OfVec& DerSurf2);
+
+ //! -- Computes the derivative of order Nu in the --
+ //! direction U and Nv in the direction V of the
+ //! normalized normal vector at the point P(U,V) array
+ //! DerNUV contain the derivative (i+Iduref,j+Idvref)
+ //! of D1U ^ D1V for i=0,Nu ; j=0,Nv Iduref and Idvref
+ //! correspond to a derivative of D1U ^ D1V which can
+ //! be used to compute the normalized normal vector.
+ //! In the regular cases , Iduref=Idvref=0.
+ Standard_EXPORT static gp_Vec DNNormal (const Standard_Integer Nu, const Standard_Integer Nv, const TColgp_Array2OfVec& DerNUV, const Standard_Integer Iduref = 0, const Standard_Integer Idvref = 0);
+
+
+
+
+protected:
+
+
+
+
+
+private:
+
+
+
+
+friend class CSLib_Class2d;
+friend class CSLib_NormalPolyDef;
+
+};
+
+
+
+
+
+
+
+#endif // _CSLib_HeaderFile
projects / occt.git / blobdiff