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/* Copyright (c) 2008, 2010 The University of Notre Dame. All Rights Reserved. | 
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 * | 
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 * The University of Notre Dame grants you ("Licensee") a | 
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 * non-exclusive, royalty free, license to use, modify and | 
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 * redistribute this software in source and binary code form, provided | 
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 * that the following conditions are met: | 
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 * | 
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 * 1. Redistributions of source code must retain the above copyright | 
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 *    notice, this list of conditions and the following disclaimer. | 
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 * | 
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 * 2. Redistributions in binary form must reproduce the above copyright | 
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 *    notice, this list of conditions and the following disclaimer in the | 
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 *    documentation and/or other materials provided with the | 
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 *    distribution. | 
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 * | 
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 * This software is provided "AS IS," without a warranty of any | 
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 * kind. All express or implied conditions, representations and | 
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 * warranties, including any implied warranty of merchantability, | 
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 * fitness for a particular purpose or non-infringement, are hereby | 
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 * excluded.  The University of Notre Dame and its licensors shall not | 
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 * be liable for any damages suffered by licensee as a result of | 
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 * using, modifying or distributing the software or its | 
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 * derivatives. In no event will the University of Notre Dame or its | 
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 * licensors be liable for any lost revenue, profit or data, or for | 
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 * direct, indirect, special, consequential, incidental or punitive | 
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 * damages, however caused and regardless of the theory of liability, | 
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 * arising out of the use of or inability to use software, even if the | 
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 * University of Notre Dame has been advised of the possibility of | 
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 * such damages. | 
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 * | 
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 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your | 
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 * research, please cite the appropriate papers when you publish your | 
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 * work.  Good starting points are: | 
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 *                                                                       | 
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 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).              | 
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 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).           | 
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 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).           | 
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 * [4] Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010). | 
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 * [4] , Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). * | 
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 * | 
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 *  Triangle.hpp | 
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 * | 
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 *  Purpose: Provide basic triangle class for OpenMD. Hates Particle class. | 
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 * | 
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 *  Created by Charles F. Vardeman II on 29 July 2008. | 
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 *  @author  Charles F. Vardeman II | 
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 *  @version $Id$ | 
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 * | 
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 */ | 
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#ifndef MATH_FACET_HPP | 
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#define MATH_FACET_HPP | 
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#include "math/Vector3.hpp" | 
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#include "math/SquareMatrix3.hpp" | 
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#include "config.h" | 
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#include "primitives/StuntDouble.hpp" | 
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#include <vector> | 
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namespace OpenMD { | 
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/** | 
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   * @class Triangle | 
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   * | 
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   * Triangle provides geometric data to OpenMD. Triangle includes | 
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   * information about the normal, centroid and the atoms | 
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   * that belong to this triangle. | 
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   */ | 
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  class Triangle { | 
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  public: | 
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    Triangle(); | 
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    virtual ~Triangle() { }; | 
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    void setNormal(Vector3d normal) { | 
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      normal_ = normal; | 
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      HaveNormal_ = true; | 
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    } | 
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    void setUnitNormal(Vector3d normal) { | 
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      unitnormal_ = normal; | 
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      HaveUnitNormal_ = true; | 
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    } | 
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    void addVertices(Vector3d P1, Vector3d P2, Vector3d P3); | 
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    void addVertexSD(StuntDouble* thisSD){ | 
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      vertexSD_.push_back(thisSD); | 
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    } | 
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    std::vector<StuntDouble*> getVertices(){return vertexSD_;} | 
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    void setArea(RealType area) { | 
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      area_ = area; | 
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      HaveArea_ = true; | 
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    } | 
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    Vector3d getNormal() { | 
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      if (HaveNormal_) { | 
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        return normal_; | 
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      } else { | 
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        return computeNormal(); | 
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      } | 
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    } | 
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   Vector3d getUnitNormal() { | 
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      if (HaveUnitNormal_) { | 
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        return unitnormal_; | 
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      } else { | 
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        return computeUnitNormal(); | 
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      } | 
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    } | 
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    RealType getArea() {  | 
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      if(HaveArea_){ | 
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        return area_; | 
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      }else{ | 
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        return computeArea(); | 
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      } | 
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    } | 
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    RealType computeArea(); | 
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    Vector3d computeNormal(); | 
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    Vector3d computeCentroid(); | 
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    Vector3d computeUnitNormal(); | 
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    void setCentroid(Vector3d centroid) {  | 
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      centroid_ = centroid; | 
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      HaveCentroid_ = true; | 
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    } | 
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    Vector3d getCentroid() { | 
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      if (HaveCentroid_) { | 
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        return centroid_; | 
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      } else { | 
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        return computeCentroid(); | 
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      } | 
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    } | 
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    Vector3d getFacetVelocity(){ | 
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      return facetVelocity_; | 
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    } | 
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    void setFacetVelocity(Vector3d facetVelocity){ | 
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      facetVelocity_ = facetVelocity; | 
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    } | 
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    void setFacetMass(RealType mass){ | 
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      mass_ = mass; | 
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    } | 
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    RealType getFacetMass(){ | 
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      return mass_; | 
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    } | 
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    RealType a(){ | 
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      return a_.length(); | 
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    } | 
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    RealType b(){ | 
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      return b_.length(); | 
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    } | 
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    RealType c(){ | 
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      return c_.length(); | 
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    } | 
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    RealType getHydroLength() { | 
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      RealType a1 = a(); | 
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      RealType b1 = b(); | 
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      RealType c1 = c(); | 
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      RealType t1 =  a1 + b1 + c1; | 
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      RealType t4 =  a1 + b1 - c1; | 
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      return 32.0 * c1 / log(t1*t1/t4/t4); | 
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    } | 
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    RealType getIncircleRadius() { | 
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      return 2.0 * getArea() / (a() + b() + c()); | 
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    } | 
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    RealType getCircumcircleRadius() { | 
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      RealType a1 = a(); | 
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      RealType b1 = b(); | 
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      RealType c1 = c(); | 
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      RealType t1 =  a1 + b1 + c1; | 
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      RealType t2 = -a1 + b1 + c1; | 
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      RealType t3 =  a1 - b1 + c1; | 
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      RealType t4 =  a1 + b1 - c1; | 
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      RealType junk = t1*t2*t3*t4; | 
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      return a1 * b1 * c1 / sqrt(t1 * t2 * t3 * t4); | 
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    } | 
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    Mat3x3d computeHydrodynamicTensor(RealType viscosity); | 
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  private: | 
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    Mat3x3d hydro_tensor(const Vector3d& ri, const Vector3d& rj0, const Vector3d& rj1, const Vector3d& rj2,RealType s, RealType viscosity); | 
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    /* Local Indentity of vertex atoms in pos array*/ | 
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    std::vector <StuntDouble*> vertexSD_; | 
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    Vector3d normal_; | 
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    Vector3d unitnormal_; | 
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    Vector3d centroid_; | 
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    Vector3d vertices_[3]; | 
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    RealType area_;     | 
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    RealType mass_; | 
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    Vector3d facetVelocity_; | 
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    //Length of triangle sides | 
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    Vector3d a_,b_,c_; | 
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    RealType alpha_,beta_,gamma_; | 
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    bool HaveArea_; | 
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    bool HaveNormal_; | 
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    bool HaveUnitNormal_; | 
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    bool HaveCentroid_; | 
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  }; // End class Triangle | 
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} //end namespace OpenMD | 
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#endif // MATH_FACET_HPP | 
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