GeometricUtilities.h

// -*- tab-width: 2; indent-tabs-mode: nil; coding: utf-8-with-signature -*-
//-----------------------------------------------------------------------------
// Copyright 2000-2022 CEA (www.cea.fr) IFPEN (www.ifpenergiesnouvelles.com)
// See the top-level COPYRIGHT file for details.
// SPDX-License-Identifier: Apache-2.0
//-----------------------------------------------------------------------------
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/* GeometricUtilities.h                                        (C) 2000-2018 */
/*                                                                           */
/* Fonctions utilitaires sur la géométrie.                                   */
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#ifndef ARCANE_GEOMETRICUTILITIES_H
#define ARCANE_GEOMETRICUTILITIES_H
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#include "arcane/utils/Real3.h"
#include "arcane/utils/Real3x3.h"
 
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ARCANE_BEGIN_NAMESPACE
 
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class IMesh;
 
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namespace GeometricUtilities
{
  class ARCANE_CORE_EXPORT QuadMapping
  {
   public:
    QuadMapping() : m_precision(1.0e-14)
    {
    }
   public:
    Real3 m_pos[4];
    Real m_precision;

    Real3 evaluatePosition(Real3 iso) const
    {
      Real u = iso.x;
      Real v = iso.y;
 
      Real x0 =  (1.0-u) * (1.0-v);
      Real x1 =  (1.0+u) * (1.0-v);
      Real x2 =  (1.0+u) * (1.0+v);
      Real x3 =  (1.0-u) * (1.0+v);
      
      return 0.25 * (m_pos[0] * x0 + m_pos[1] * x1 + m_pos[2] * x2 + m_pos[3] * x3);
    }
    Real3x3 evaluateGradient(Real3 iso) const
    {
      Real u = iso.x;
      Real v = iso.y;
 
      Real t1 = 0.25 * ( v - 1.0);
      Real t2 = 0.25 * ( v + 1.0);
      Real t3 = 0.25 * ( u - 1.0);
      Real t4 = 0.25 * (-u - 1.0);
      
      return Real3x3(m_pos[0]*t1 - m_pos[1]*t1 + m_pos[2]*t2 - m_pos[3]*t2,
                     m_pos[0]*t3 + m_pos[1]*t4 - m_pos[2]*t4 - m_pos[3]*t3,
                     Real3::null());
    }
    Real computeInverseJacobian(Real3 uvw,Real3x3& matrix);
    bool cartesianToIso(Real3 point,Real3& uvw,ITraceMng* tm);
    bool cartesianToIso2(Real3 point,Real3& uvw,ITraceMng* tm);
    Real3 normal();
  private:
    Real3 _normal();
  };

  class ARCANE_CORE_EXPORT ProjectionInfo
  {
  public:
    ProjectionInfo(Real distance,int region,Real alpha,Real beta,Real3 aprojection)
      : m_distance(distance), m_region(region), m_alpha(alpha)
      , m_beta(beta), m_projection(aprojection) {}
    ProjectionInfo()
    : m_distance(FloatInfo<Real>::maxValue()), m_region(-1)
      , m_alpha(-1.0), m_beta(-1.0) {}
  public:
    Real m_distance;
    int m_region;
    Real m_alpha;
    Real m_beta;
    Real3 m_projection;
 
  public:
    static ProjectionInfo projection(Real3 v1,Real3 v2,Real3 v3,Real3 point);

    static ProjectionInfo projection(Real3 v1,Real3 v2,Real3 point);

    static bool isInside(Real3 v1,Real3 v2,Real3 v3,Real3 point);
    static bool isInside(Real3 v1,Real3 v2,Real3 point);
  };
}
 
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ARCANE_END_NAMESPACE
 
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#endif