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salome-med  6.5.0
TetraAffineTransform.hxx
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00001 // Copyright (C) 2007-2012  CEA/DEN, EDF R&D
00002 //
00003 // This library is free software; you can redistribute it and/or
00004 // modify it under the terms of the GNU Lesser General Public
00005 // License as published by the Free Software Foundation; either
00006 // version 2.1 of the License.
00007 //
00008 // This library is distributed in the hope that it will be useful,
00009 // but WITHOUT ANY WARRANTY; without even the implied warranty of
00010 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00011 // Lesser General Public License for more details.
00012 //
00013 // You should have received a copy of the GNU Lesser General Public
00014 // License along with this library; if not, write to the Free Software
00015 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
00016 //
00017 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
00018 //
00019 
00020 #ifndef __TETRA_AFFINE_TRANSFORM_HXX__
00021 #define __TETRA_AFFINE_TRANSFORM_HXX__
00022 
00023 #include "INTERPKERNELDefines.hxx"
00024 
00025 #undef INVERSION_SELF_CHECK // debugging : check that calculated inverse is correct
00026 
00027 namespace INTERP_KERNEL
00028 {
00034   class INTERPKERNEL_EXPORT TetraAffineTransform
00035   {
00036 
00037   public:
00038     TetraAffineTransform(const double** pts);
00039 
00040     void apply(double* destPt, const double* srcPt) const;
00041 
00042     void reverseApply(double* destPt, const double* srcPt) const;
00043 
00044     double determinant() const;
00045 
00046     void dump() const;
00047 
00048   private:
00049 
00050     void invertLinearTransform();
00051 
00052     void calculateDeterminant();
00053 
00054     void factorizeLU(double* lu, int* idx) const;
00055       
00056     void forwardSubstitution(double* x, const double* lu, const double* b, const int* idx) const;
00057 
00058     void backwardSubstitution(double* x, const double* lu, const double* b, const int* idx) const;
00059 
00060     // The affine transformation Ax + b is represented with _linear_transformation containing the elements of
00061     // A in row-first ordering and _translation containing the elements of b
00062 
00064     double _linear_transform[9];
00065 
00067     double _translation[3];
00068 
00070     double _determinant;
00071 
00073     double _back_linear_transform[9];
00074 
00076     double _back_translation[3];
00077 
00078   };
00079 }
00080 
00081 #endif