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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. Acknowledgement of the program authors must be made in any | 
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 *    publication of scientific results based in part on use of the | 
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 *    program.  An acceptable form of acknowledgement is citation of | 
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 *    the article in which the program was described (Matthew | 
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 *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher | 
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 *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented | 
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 *    Parallel Simulation Engine for Molecular Dynamics," | 
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 *    J. Comput. Chem. 26, pp. 252-271 (2005)) | 
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 * | 
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 * 2. Redistributions of source code must retain the above copyright | 
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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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 * 3. Redistributions in binary form must reproduce the above copyright | 
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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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 * 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]  Vardeman & Gezelter, in progress (2009).                         | 
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 * | 
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 * | 
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 *  Triangle.hpp | 
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 * | 
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 *  Purpose: Provide basic triangle class for oopse. Hates Particle class. | 
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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: Triangle.hpp,v 1.3 2008-11-14 15:44:34 chuckv Exp $ | 
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 *  @version $Id: Triangle.hpp,v 1.6 2009-11-25 20:02:01 gezelter Exp $ | 
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 * | 
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 */ | 
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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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 | 
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namespace oopse { | 
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namespace OpenMD { | 
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 | 
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/** | 
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   * @class Triangle | 
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   * | 
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   * Triangle provides geometric data to oopse. Triangle includes | 
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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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      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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 | 
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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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} //End Namespace oopse | 
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} //end namespace OpenMD | 
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