ConicDomain.hpp

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/* *****************************************************************
    MESQUITE -- The Mesh Quality Improvement Toolkit

    Copyright 2007 Sandia National Laboratories.  Developed at the
    University of Wisconsin--Madison under SNL contract number
    624796.  The U.S. Government and the University of Wisconsin
    retain certain rights to this software.

    This library is free software; you can redistribute it and/or
    modify it under the terms of the GNU Lesser General Public
    License as published by the Free Software Foundation; either
    version 2.1 of the License, or (at your option) any later version.

    This library is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
    Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License
    (lgpl.txt) along with this library; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

    (2010) kraftche@cae.wisc.edu

  ***************************************************************** */

/** \file ConicDomain.hpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#ifndef MSQ_CONIC_DOMAIN_HPP
#define MSQ_CONIC_DOMAIN_HPP

#include "Mesquite.hpp"
#include "MeshInterface.hpp"
#include "Vector3D.hpp"

namespace MBMesquite
{

/*! \class ConicDomain
     Define the geometry of an unbounded cone with circular cross-section.
  */
class MESQUITE_EXPORT ConicDomain : public MBMesquite::MeshDomain
{
  public:
    /**
     *\param radius_at_point    The radius of the cone at axis_point
     *\param height_to_apex     The distance in the direction of
     *                          axis_direction from axis_point to the apex
     *\param axis_direction     Vector defining the direction of the axis
     *\param axis_point         A point through which the axis passes.
     *\NOTE Cone is not bounded at apex.  It extends infinitely in both
     *      directions.
     */
    inline ConicDomain( double radius_at_point,
                        double height_to_apex,
                        Vector3D axis_direction = Vector3D( 0, 0, 1 ),
                        Vector3D axis_point     = Vector3D( 0, 0, 0 ),
                        bool outward_normal     = true )
        : mAxis( axis_direction / axis_direction.length() ), mPoint( axis_point ), mRadius( radius_at_point ),
          mHeight( height_to_apex ), outwardSign( outward_normal ? 1.0 : -1.0 )
    {
    }

    inline ConicDomain() {}

    virtual ~ConicDomain();

    virtual void snap_to( Mesh::VertexHandle entity_handle, Vector3D& coordinate ) const;

    virtual void vertex_normal_at( Mesh::VertexHandle entity_handle, Vector3D& coordinate ) const;

    virtual void element_normal_at( Mesh::ElementHandle entity_handle, Vector3D& coordinate ) const;

    virtual void vertex_normal_at( const Mesh::VertexHandle* handle,
                                   Vector3D coords[],
                                   unsigned count,
                                   MsqError& err ) const;

    virtual void closest_point( Mesh::VertexHandle handle,
                                const Vector3D& position,
                                Vector3D& closest,
                                Vector3D& normal,
                                MsqError& err ) const;

    virtual void domain_DoF( const Mesh::VertexHandle* handle_array,
                             unsigned short* dof_array,
                             size_t count,
                             MsqError& err ) const;

    const Vector3D& axis() const
    {
        return mAxis;
    }
    const Vector3D& point() const
    {
        return mPoint;
    }
    double point_radius() const
    {
        return mRadius;
    }
    double height_from_point() const
    {
        return mHeight;
    }

  protected:
    virtual void evaluate( Mesh::VertexHandle handle,
                           const Vector3D& point,
                           Vector3D& closest,
                           Vector3D& normal ) const;

  private:
    Vector3D mAxis;      //!< Direction of central axis of cone. Unit vector.
    Vector3D mPoint;     //!< A point on the axis of the cone.
    double mRadius;      //!< Radius at mPoint
    double mHeight;      //!< Distance from mPoint to apex, in direction of mAxis
    double outwardSign;  //!< 1.0 if normal points away from axis, -1.0 otherwise
};

}  // namespace MBMesquite

#endif