#include <Rcpp.h>
// Copyright (c) 2003-2006  INRIA Sophia-Antipolis (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v6.0.1/Surface_mesher/include/CGAL/Surface_mesher/Standard_criteria.h $
// $Id: include/CGAL/Surface_mesher/Standard_criteria.h 50cfbde3b84 $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Steve OUDOT, Laurent Rineau


#ifndef CGAL_SURFACE_MESHER_STANDARD_CRITERIA_H
#define CGAL_SURFACE_MESHER_STANDARD_CRITERIA_H

#include <CGAL/license/Surface_mesher.h>

#define CGAL_DEPRECATED_HEADER "<CGAL/Surface_mesher/Standard_criteria.h>"
#define CGAL_DEPRECATED_MESSAGE_DETAILS \
  "The 3D Mesh Generation package (see https://doc.cgal.org/latest/Mesh_3/) should be used instead."
#include <CGAL/Installation/internal/deprecation_warning.h>

#include <cmath>
#include <vector>
#include <CGAL/number_utils.h>

namespace CGAL {

  namespace Surface_mesher {


  template <class Criterion>
  class Standard_criteria {

  protected:
    typedef typename Criterion::Quality FT;
    typedef std::vector<Criterion*> Criteria;
    Criteria criteria;

  public:
    typedef typename Criterion::Facet Facet;
    typedef std::vector<FT> Quality;

    Standard_criteria() {}

    Standard_criteria (const Criteria& c) : criteria (c) {}

    void set_criteria(const Criteria& c)
    {
      criteria = c;
    }

    bool is_bad (const Facet& f, Quality& q ) const {
#ifdef CGAL_SURFACE_MESHER_DEBUG_CRITERIA
      bool bad = false;
#endif
      int i = 0;
      q.resize(criteria.size());
      for (typename Criteria::const_iterator cit = criteria.begin(); cit !=
             criteria.end(); ++cit)
        if ((*cit)->is_bad (f, q[i++]))
#ifndef CGAL_SURFACE_MESHER_DEBUG_CRITERIA
          return true;
      return false;
#else
          bad = true;
      if( bad )
      {
        Rcpp::Rcerr << "bad triangle: |";
        for(typename Criteria::iterator cit = criteria.begin(); cit !=
              criteria.end(); ++cit)
        {
          FT dummy_q;
          Rcpp::Rcerr << (*cit)->is_bad (f, dummy_q) << "|" ;
        }
        Rcpp::Rcerr << "\n";
      }
      return bad;
#endif
    }
  };

  // abstract basic Criterion class
  template <class Tr>
  class Refine_criterion {
  public:
    typedef typename Tr::Facet Facet;
    typedef typename Tr::Geom_traits::FT Quality;
    virtual bool is_bad (const Facet&, Quality& ) const = 0;
    virtual ~Refine_criterion() {}
  };

  // Aspect_ratio Criterion class
  template <class Tr>
  class Aspect_ratio_criterion : public Refine_criterion <Tr> {
  public:
    typedef typename Refine_criterion <Tr>::Quality Quality;
    typedef typename Tr::Geom_traits::FT FT;

  private:
    typedef typename Refine_criterion <Tr>::Facet Facet;
    typedef typename Tr::Point Point;

    Quality B;

  public:
    // Nb: the default bound of the criterion is such that the criterion
    // is always fulfilled
    Aspect_ratio_criterion(const FT angle_min = 0.)
    { // TODO: document that FT must constructible from a double!
      set_angle_min(angle_min);
    }

    inline
    Quality bound() const { return B; }

    inline
    Quality angle_min() const { return std::asin (std::sqrt(B)); }

    inline
    void set_bound(const Quality b) { B = b; }

    inline
    void set_angle_min(const FT angle_min) {
      if(angle_min == FT(0)) {
        B = 0;
      }
      else {
        B = std::sin (CGAL_PI * CGAL::to_double(angle_min) / 180);
        B = B * B;
      }
    }

    bool is_bad (const Facet& fh, Quality& q) const {
      CGAL_assertion (fh.first->is_facet_on_surface (fh.second));

      if(B == FT(0)) {
        q = 1;
        return false;
      }

      typedef typename Tr::Geom_traits Geom_traits;
      Geom_traits gt;
      typename Geom_traits::Triangle_3 t;

      Point p1 = fh.first->vertex ((fh.second+1)&3)->point();
      Point p2 = fh.first->vertex ((fh.second+2)&3)->point();
      Point p3 = fh.first->vertex ((fh.second+3)&3)->point();
      t = gt.construct_triangle_3_object()(p1,p2,p3);

      Quality d12,d13,d23;
      d12=gt.compute_squared_distance_3_object()(p1,p2);
      d13=gt.compute_squared_distance_3_object()(p1,p3);
      d23=gt.compute_squared_distance_3_object()(p2,p3);

      Quality aspect_ratio = 4 * gt.compute_squared_area_3_object()(t)
        * min_3(d12,d13,d23) / (d12*d13*d23);

      CGAL_assertion (aspect_ratio >= 0 && aspect_ratio <= 1);
      q = aspect_ratio;
      return (B == FT(0)) || (aspect_ratio < B);
    }

  private:
    static
    Quality min_3 (const Quality a, const Quality b, const Quality c) {
      if (a<=b && a<=c)
        return(a);

      else if (b<=c)
        return(b);

      else
        return(c);
    }
  };  // end Aspect_ratio_criterion

  // Curvature_adapted size Criterion class
  template <class Tr>
  class Curvature_size_criterion : public Refine_criterion <Tr> {
  public:
    typedef typename Refine_criterion <Tr>::Quality Quality;

  private:
    typedef typename Refine_criterion <Tr>::Facet Facet;
    typedef typename Tr::Point Point;

    Quality B;

  public:
    // Nb: the default bound of the criterion is such that the criterion
    // is always fulfilled
    Curvature_size_criterion(const Quality b = 1000) : B(b * b) {}

    inline
    Quality bound() const { return std::sqrt (B); }

    inline
    void set_bound(const Quality b) { B = b * b; }


    bool is_bad (const Facet& fh, Quality& q) const {
      CGAL_assertion (fh.first->is_facet_on_surface (fh.second));

      if(B == Quality(0)) {
        q = 1;
        return false;
      }

      typedef typename Tr::Geom_traits Geom_traits;
      typedef typename Geom_traits::FT FT;

      Geom_traits gt;
      typename Geom_traits::Compute_squared_distance_3 distance =
        gt.compute_squared_distance_3_object();

      const Point& p1 = fh.first->vertex ((fh.second+1)&3)->point();
      const Point& p2 = fh.first->vertex ((fh.second+2)&3)->point();
      const Point& p3 = fh.first->vertex ((fh.second+3)&3)->point();

      const Point c = gt.construct_circumcenter_3_object()(p1,p2,p3);

      const FT denom = distance(c, fh.first->get_facet_surface_center(fh.second));

      if(denom == FT(0)) {
        q = 1;
      }
      else {
        q = B / denom;
      }
      return q < FT(1);
    }
  };  // end Curvature_size_criterion

  // Uniform size Criterion class
  template <class Tr>
  class Uniform_size_criterion : public Refine_criterion <Tr> {
  public:
    typedef typename Refine_criterion <Tr>::Quality Quality;

  private:
    typedef typename Refine_criterion <Tr>::Facet Facet;
    typedef typename Tr::Point Point;

    Quality B;

  public:
    // Nb: the default bound of the criterion is such that the criterion
    // is always fulfilled
    Uniform_size_criterion(const Quality b = 1000) : B(b * b) {}

    inline
    Quality bound() const { return CGAL::sqrt (B); }

    inline
    void set_bound(const Quality b) { B = b * b; }


    bool is_bad (const Facet& fh, Quality& q) const {
      CGAL_assertion (fh.first->is_facet_on_surface (fh.second));

      if(B == Quality(0)) {
        q = 1;
        return false;
      }

     typedef typename Tr::Geom_traits Geom_traits;
      typedef typename Geom_traits::FT FT;
      Geom_traits gt;

      const Point& p1 = fh.first->vertex ((fh.second+1)&3)->point();

      q =  B / gt.compute_squared_distance_3_object()
        (p1, fh.first->get_facet_surface_center (fh.second));
      return q < FT(1);
    }
  };  // end Uniform_size_criterion

  // Edge size Criterion class
  template <class Tr>
  class Edge_size_criterion : public Refine_criterion <Tr> {
  public:
    typedef typename Refine_criterion <Tr>::Quality Quality;

  private:
    typedef typename Refine_criterion <Tr>::Facet Facet;
    typedef typename Tr::Point Point;

    Quality B;

  public:
    // Nb: the default bound of the criterion is such that the criterion
    // is always fulfilled
    Edge_size_criterion(const Quality b = 1000) : B(b * b) {}

    inline
    Quality bound() const { return std::sqrt (B); }

    inline
    void set_bound(const Quality b) { B = b * b; }


    bool is_bad (const Facet& fh, Quality& q) const {
      typedef typename Tr::Geom_traits Geom_traits;
      typedef typename Geom_traits::FT FT;
      Geom_traits gt;

      const Point& p1 = fh.first->vertex ((fh.second+1)&3)->point();
      const Point& p2 = fh.first->vertex ((fh.second+2)&3)->point();
      const Point& p3 = fh.first->vertex ((fh.second+3)&3)->point();

      const FT d12 = gt.compute_squared_distance_3_object() (p1, p2);
      const FT d13 = gt.compute_squared_distance_3_object() (p1, p3);
      const FT d23 = gt.compute_squared_distance_3_object() (p2, p3);

      if (d12 > d13) {
        if (d12 > d23)
          q =  B / d12;
        else
          q = B / d23;
      }
      else
        q = B / d13;
      return q < FT(1);
    }

  };  // end Edge_size_criterion


  }  // namespace Surface_mesher

}  // namespace CGAL


#endif  // end CGAL_SURFACE_MESHER_STANDARD_CRITERIA_H

