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0001 // This file is part of the ACTS project. 0002 // 0003 // Copyright (C) 2016 CERN for the benefit of the ACTS project 0004 // 0005 // This Source Code Form is subject to the terms of the Mozilla Public 0006 // License, v. 2.0. If a copy of the MPL was not distributed with this 0007 // file, You can obtain one at https://mozilla.org/MPL/2.0/. 0008 0009 #pragma once 0010 0011 #include "Acts/Definitions/Algebra.hpp" 0012 #include "Acts/Definitions/Tolerance.hpp" 0013 #include "Acts/Geometry/GeometryContext.hpp" 0014 #include "Acts/Geometry/Polyhedron.hpp" 0015 #include "Acts/Surfaces/BoundaryTolerance.hpp" 0016 #include "Acts/Surfaces/RegularSurface.hpp" 0017 #include "Acts/Surfaces/Surface.hpp" 0018 #include "Acts/Surfaces/SurfaceConcept.hpp" 0019 #include "Acts/Utilities/AxisDefinitions.hpp" 0020 #include "Acts/Utilities/Result.hpp" 0021 0022 #include <memory> 0023 #include <string> 0024 0025 namespace Acts { 0026 0027 class DetectorElementBase; 0028 class PlanarBounds; 0029 class SurfaceBounds; 0030 0031 /// @class PlaneSurface 0032 /// 0033 /// Class for a planaer in the TrackingGeometry. 0034 /// 0035 /// The PlaneSurface extends the Surface class with the possibility to 0036 /// convert local to global positions (vice versa). 0037 /// 0038 /// @image html PlaneSurface.png 0039 /// 0040 class PlaneSurface : public RegularSurface { 0041 friend class Surface; 0042 0043 protected: 0044 /// Copy Constructor 0045 /// 0046 /// @param other is the source surface for the copy 0047 PlaneSurface(const PlaneSurface& other); 0048 0049 /// Copy constructor - with shift 0050 /// 0051 /// @param gctx The current geometry context object, e.g. alignment 0052 /// @param other is the source cone surface 0053 /// @param transform is the additional transform applied after copying 0054 PlaneSurface(const GeometryContext& gctx, const PlaneSurface& other, 0055 const Transform3& transform); 0056 0057 /// Constructor from DetectorElementBase : Element proxy 0058 /// 0059 /// @param pbounds are the provided planar bounds 0060 /// @param detelement is the linked detector element to this surface 0061 PlaneSurface(std::shared_ptr<const PlanarBounds> pbounds, 0062 const DetectorElementBase& detelement); 0063 0064 /// Constructor for Planes with (optional) shared bounds object 0065 /// 0066 /// @param transform transform in 3D that positions this surface 0067 /// @param pbounds bounds object to describe the actual surface area 0068 explicit PlaneSurface(const Transform3& transform, 0069 std::shared_ptr<const PlanarBounds> pbounds = nullptr); 0070 0071 public: 0072 /// Assignment operator 0073 /// 0074 /// @param other The source PlaneSurface for assignment 0075 PlaneSurface& operator=(const PlaneSurface& other); 0076 0077 // Use overloads from `RegularSurface` 0078 using RegularSurface::globalToLocal; 0079 using RegularSurface::localToGlobal; 0080 using RegularSurface::normal; 0081 0082 /// Get the normal vector of this surface at a given local position 0083 /// 0084 /// @param gctx The current geometry context object, e.g. alignment 0085 /// @param lposition is the local position is ignored 0086 /// 0087 /// return a Vector3 by value 0088 Vector3 normal(const GeometryContext& gctx, 0089 const Vector2& lposition) const final; 0090 0091 /// Get the normal vector of this surface at a given global position 0092 /// @note The @p position is required to be on-surface. 0093 /// @param gctx The current geometry context object, e.g. alignment 0094 /// @param position is the global positiono (for @ref PlaneSurface this is ignored) 0095 /// @return The normal vector 0096 Vector3 normal(const GeometryContext& gctx, 0097 const Vector3& position) const final; 0098 0099 /// Get the normal vector, independent of the location 0100 /// @param gctx The current geometry context object, e.g. alignment 0101 /// @return The normal vector 0102 Vector3 normal(const GeometryContext& gctx) const; 0103 0104 /// The axis position is the position calculated 0105 /// for a certain axis type 0106 /// 0107 /// @param gctx The current geometry context object, e.g. alignment 0108 /// @param aDir is the axis direction of reference position request 0109 /// 0110 /// @return position that can be used for this axis 0111 Vector3 referencePosition(const GeometryContext& gctx, 0112 AxisDirection aDir) const final; 0113 0114 /// Return the surface type 0115 SurfaceType type() const override; 0116 0117 /// Return method for bounds object of this surfrace 0118 const SurfaceBounds& bounds() const override; 0119 0120 /// Local to global transformation 0121 /// 0122 /// @note For planar surfaces the momentum direction is ignored in the local to global 0123 /// transformation 0124 /// 0125 /// @param gctx The current geometry context object, e.g. alignment 0126 /// @param lposition local 2D position in specialized surface frame 0127 /// 0128 /// @return the global position by value 0129 Vector3 localToGlobal(const GeometryContext& gctx, 0130 const Vector2& lposition) const override; 0131 0132 /// Global to local transformation 0133 /// 0134 /// @note For planar surfaces the momentum direction is ignored in the global to local 0135 /// transformation 0136 /// 0137 /// @param gctx The current geometry context object, e.g. alignment 0138 /// @param position global 3D position - considered to be on surface but not 0139 /// inside bounds (check is done) 0140 /// @param tolerance optional tolerance within which a point is considered 0141 /// valid on surface 0142 /// 0143 /// @return a Result<Vector2> which can be !ok() if the operation fails 0144 Result<Vector2> globalToLocal( 0145 const GeometryContext& gctx, const Vector3& position, 0146 double tolerance = s_onSurfaceTolerance) const override; 0147 0148 /// Method that calculates the correction due to incident angle 0149 /// 0150 /// @param gctx The current geometry context object, e.g. alignment 0151 /// @param position global 3D position (ignored for @ref PlaneSurface) 0152 /// @param direction global 3D momentum direction (ignored for @ref PlaneSurface) 0153 /// @return a double representing the scaling factor 0154 double pathCorrection(const GeometryContext& gctx, const Vector3& position, 0155 const Vector3& direction) const final; 0156 0157 /// @brief Straight line intersection 0158 /// 0159 /// @param gctx The current geometry context object, e.g. alignment 0160 /// @param position The start position of the intersection attempt 0161 /// @param direction The direction of the intersection attempt, 0162 /// (@note expected to be normalized) 0163 /// @param boundaryTolerance The boundary check directive 0164 /// @param tolerance the tolerance used for the intersection 0165 /// 0166 /// <b>mathematical motivation:</b> 0167 /// 0168 /// the equation of the plane is given by: <br> 0169 /// @f$ \vec n \cdot \vec x = \vec n \cdot \vec p,@f$ <br> 0170 /// where @f$ \vec n = (n_{x}, n_{y}, n_{z})@f$ denotes the normal vector of 0171 /// the plane, @f$ \vec p = (p_{x}, p_{y}, p_{z})@f$ one specific point 0172 /// on the plane and @f$ \vec x = (x,y,z) @f$ all possible points 0173 /// on the plane.<br> 0174 /// 0175 /// Given a line with:<br> 0176 /// @f$ \vec l(u) = \vec l_{1} + u \cdot \vec v @f$, <br> 0177 /// the solution for @f$ u @f$ can be written: 0178 /// @f$ u = \frac{\vec n (\vec p - \vec l_{1})}{\vec n \vec v}@f$ <br> 0179 /// If the denominator is 0 then the line lies: 0180 /// - either in the plane 0181 /// - perpendicular to the normal of the plane 0182 /// 0183 /// @return the @c SurfaceMultiIntersection object 0184 SurfaceMultiIntersection intersect( 0185 const GeometryContext& gctx, const Vector3& position, 0186 const Vector3& direction, 0187 const BoundaryTolerance& boundaryTolerance = 0188 BoundaryTolerance::Infinite(), 0189 double tolerance = s_onSurfaceTolerance) const final; 0190 0191 /// Return a Polyhedron for the surfaces 0192 /// 0193 /// @param gctx The current geometry context object, e.g. alignment 0194 /// @param quarterSegments is the number of segments used to describe curved 0195 /// segments in a quarter of the phi range. If it is 1, then only the extrema 0196 /// points in phi are inserted next to the segment corners. 0197 /// 0198 /// @note for planar surfaces without curved segments @c quarterSegments is ignored 0199 /// 0200 /// @return A list of vertices and a face/facett description of it 0201 Polyhedron polyhedronRepresentation( 0202 const GeometryContext& gctx, unsigned int quarterSegments) const override; 0203 0204 /// Return properly formatted class name for screen output 0205 std::string name() const override; 0206 0207 /// Calculate the derivative of bound track parameters local position w.r.t. 0208 /// position in local 3D Cartesian coordinates 0209 /// 0210 /// @param gctx The current geometry context object, e.g. alignment 0211 /// @param position The position of the parameters in global 0212 /// 0213 /// @return Derivative of bound local position w.r.t. position in local 3D 0214 /// cartesian coordinates 0215 ActsMatrix<2, 3> localCartesianToBoundLocalDerivative( 0216 const GeometryContext& gctx, const Vector3& position) const final; 0217 0218 /// Merge two plane surfaces into a single one. 0219 /// @note The surfaces need to be *compatible*, i.e. have bounds 0220 /// that align along merging direction, and have the same bound size 0221 /// along the non-merging direction 0222 /// @param other The other plane surface to merge with 0223 /// @param direction The direction: either @c AxisX or @c AxisY 0224 /// @param logger The logger to use 0225 /// @return The merged plane surface and a boolean indicating if surfaces are reversed 0226 /// @note The returned boolean is `false` if `this` is *left* or 0227 /// *counter-clockwise* of @p other, and `true` if not. 0228 std::pair<std::shared_ptr<PlaneSurface>, bool> mergedWith( 0229 const PlaneSurface& other, AxisDirection direction, 0230 const Logger& logger = getDummyLogger()) const; 0231 0232 protected: 0233 /// the bounds of this surface 0234 std::shared_ptr<const PlanarBounds> m_bounds; 0235 0236 private: 0237 }; 0238 0239 static_assert(RegularSurfaceConcept<PlaneSurface>, 0240 "PlaneSurface does not fulfill RegularSurfaceConcept"); 0241 0242 } // namespace Acts
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