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 // This file is part of the ACTS project.
 //
 // Copyright (C) 2016 CERN for the benefit of the ACTS project
 //
 // This Source Code Form is subject to the terms of the Mozilla Public
 // License, v. 2.0. If a copy of the MPL was not distributed with this
 // file, You can obtain one at https://mozilla.org/MPL/2.0/.
 
 #pragma once
 
 #include "Acts/Definitions/Algebra.hpp"
 #include "Acts/Definitions/Direction.hpp"
 #include "Acts/Geometry/Volume.hpp"
 #include "Acts/Surfaces/RegularSurface.hpp"
 #include "Acts/Utilities/AxisDefinitions.hpp"
 
 #include <cmath>
 #include <iostream>
 #include <memory>
 #include <numbers>
 #include <utility>
 #include <vector>
 
 namespace Acts {
 
 class Surface;
 class VolumeBounds;
 class Direction;
 
 /// Helper bundle of a surface and its orientation.
 struct OrientedSurface {
   std::shared_ptr<RegularSurface> surface;         ///< The surface
   Direction direction = Direction::AlongNormal();  ///< Surface orientation
 };
 
 /// XY plane transformation (identity)
 static const Transform3 s_planeXY = Transform3::Identity();
 /// YZ plane transformation
 static const Transform3 s_planeYZ =
     AngleAxis3(std::numbers::pi / 2., Vector3::UnitY()) *
     AngleAxis3(std::numbers::pi / 2., Vector3::UnitZ()) *
     Transform3::Identity();
 /// ZX plane transformation
 static const Transform3 s_planeZX =
     AngleAxis3(-std::numbers::pi / 2., Vector3::UnitX()) *
     AngleAxis3(-std::numbers::pi / 2., Vector3::UnitZ()) *
     Transform3::Identity();
 
 /// @class VolumeBounds
 ///
 /// Pure Absract Base Class for Volume bounds.
 ///
 /// Acts::VolumeBounds are a set of up to six confining Surfaces that are stored
 /// in a std::vector.
 /// Each type of Acts::VolumeBounds has to implement a orientedSurfaces() and
 /// a inside() method.
 ///
 /// The Volume, retrieving a set of Surfaces from the VolumeBounds, can turn the
 /// Surfaces into BoundarySurfaces.
 
 class VolumeBounds {
  public:
   // @enum BoundsType
   /// This is nested to the VolumeBounds, as also SurfaceBounds will have
   /// Bounds Type.
   enum class BoundsType {
     eCone,
     eCuboid,
     eCutoutCylinder,
     eCylinder,
     eGenericCuboid,
     eTrapezoid,
     eDiamond,
     eOther,
 
   };
 
   using enum BoundsType;
 
   /// Static member to get the name of the BoundsType
   static const std::vector<std::string> s_boundsTypeNames;
 
   VolumeBounds() = default;
 
   virtual ~VolumeBounds() = default;
 
   /// Return the bounds type - for persistency optimization
   ///
   /// @return is a BoundsType enum
   virtual BoundsType type() const = 0;
 
   /// Access method for bound values, this is a dynamically sized
   /// vector containing the parameters needed to describe these bounds
   ///
   /// @return of the stored values for this SurfaceBounds object
   virtual std::vector<double> values() const = 0;
 
   /// Checking if position given in volume frame is inside
   ///
   /// @param gpos is the global position to be checked
   /// @param tol is the tolerance applied for the inside check
   ///
   /// @return boolean indicating if the position is inside
   virtual bool inside(const Vector3& gpos, double tol = 0.) const = 0;
 
   /// Oriented surfaces, i.e. the decomposed boundary surfaces and the
   /// according navigation direction into the volume given the normal
   /// vector on the surface
   ///
   /// @param transform is the 3D transform to be applied to the boundary
   /// surfaces to position them in 3D space
   ///
   /// It will throw an exception if the orientation prescription is not adequate
   ///
   /// @return a vector of surfaces bounding this volume
   virtual std::vector<OrientedSurface> orientedSurfaces(
       const Transform3& transform = Transform3::Identity()) const = 0;
 
   /// Construct bounding box for this shape
   /// @param trf Optional transform
   /// @param envelope Optional envelope to add / subtract from min/max
   /// @param entity Entity to associate this bounding box with
   /// @return Constructed bounding box
   virtual Volume::BoundingBox boundingBox(
       const Transform3* trf = nullptr, const Vector3& envelope = {0, 0, 0},
       const Volume* entity = nullptr) const = 0;
 
   /// Get the canonical axis direction
   /// that fully describe the shape's extent
   ///
   /// @return vector of canonical axis directions
   ///
   /// @note This is the default implementation that
   /// returns the bounding box binning. Individual shapes
   /// should override this method
   virtual std::vector<AxisDirection> canonicalAxes() const {
     using enum AxisDirection;
     return {AxisX, AxisY, AxisZ};
   };
 
   /// Binning offset - overloaded for some R-binning types
   ///
   /// @param aDir is the binning schema used
   ///
   /// @return vector 3D to be used for the binning
   virtual Vector3 referenceOffset(AxisDirection aDir) const;
 
   /// Binning borders in double
   ///
   /// @param aDir is the binning schema used
   ///
   /// @return float offset to be used for the binning
   virtual double referenceBorder(AxisDirection aDir) const;
 
   /// Output Method for std::ostream, to be overloaded by child classes
   ///
   /// @param sl is the output stream to be dumped into
   /// @return Modified ostream for chaining
   virtual std::ostream& toStream(std::ostream& sl) const = 0;
 };
 
 /// Binning offset - overloaded for some R-binning types
 inline Vector3 VolumeBounds::referenceOffset(
     AxisDirection /*aDir*/) const {  // standard offset is 0.,0.,0.
   return Vector3(0., 0., 0.);
 }
 
 inline double VolumeBounds::referenceBorder(AxisDirection /*aDir*/) const {
   return 0.;
 }
 
 /// Overload of << operator for std::ostream for debug output
 /// @param sl Output stream
 /// @param vb VolumeBounds to output
 /// @return Reference to output stream
 std::ostream& operator<<(std::ostream& sl, const VolumeBounds& vb);
 
 /// Equality comparison for VolumeBounds
 /// @param lhs Left-hand side VolumeBounds
 /// @param rhs Right-hand side VolumeBounds
 /// @return True if bounds are equal
 inline bool operator==(const VolumeBounds& lhs, const VolumeBounds& rhs) {
   if (&lhs == &rhs) {
     return true;
   }
   return (lhs.type() == rhs.type()) && (lhs.values() == rhs.values());
 }
 
 /// Stream operator for VolumeBounds::BoundsType
 /// @param sl Output stream
 /// @param bt BoundsType to output
 /// @return Reference to output stream
 std::ostream& operator<<(std::ostream& sl, const VolumeBounds::BoundsType& bt);
 
 }  // namespace Acts

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