MatrixCurve.h

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/*

            *
          ***
          *****
  *********************       Mercenaries Engineering SARL
    *****************              Copyright (C) 2018
      *************
        *********        http://www.mercenaries-engineering.com
      ***********
      ****     ****
    **           **

*/
#pragma once

#include "Mesh.h"

namespace maquina
{

  class MAQUINA_EXPORT MatrixCurve : public Shape
  {
  public:

    enum class MainAxis {
      X = 0,   
      Y = 1,   
      Z = 2,   
      MX = 3,  
      MY = 4,  
      MZ = 5   
    };

    enum class CurveType {
      ConstrainedBezier = 0, 
      Bezier,                
      Spline                 
    };

    enum class OrientationMode {
      Free = 0,   
      Constrained 
    };


    MatrixCurve();

    MatrixCurve(const BufferConstM44d& matrices, CurveType type, OrientationMode mode, MainAxis main_axis = MainAxis::X);


    MatrixCurve(const Value &v);



    const BufferConstM44d read_matrices() const;

    BufferM44d write_matrices();

    CurveType type() const;

    OrientationMode mode() const;

    MainAxis main_axis() const;



    Imath::M44d evaluate(double u) const;

    Mesh tessellate(double start, double end, int samples, bool uniform) const;

    double length(
      double start,  
      double end,    
      double error = 0.001  
    ) const;

    double param_from_length(
      double length,            
      double error = 0.001,     
      int max_try = 100         
    ) const;


    double closest(
      const Imath::V3d& p,      
      Imath::M44d* r = nullptr, 
      double error = 0.001,     
      int max_try = 10          
    ) const;


    static const MatrixCurve default_value;

    MatrixCurve(std::shared_ptr<Impl> impl) { _impl=impl; }
  };
}