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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 PlanarBounds; 0028 class SurfaceBounds; 0029 0030 /// @class PlaneSurface 0031 /// 0032 /// Class for a planaer in the TrackingGeometry. 0033 /// 0034 /// The PlaneSurface extends the Surface class with the possibility to 0035 /// convert local to global positions (vice versa). 0036 /// 0037 /// @image html PlaneSurface.png 0038 /// 0039 class PlaneSurface : public RegularSurface { 0040 friend class Surface; 0041 0042 protected: 0043 /// Copy Constructor 0044 /// 0045 /// @param other is the source surface for the copy 0046 PlaneSurface(const PlaneSurface& other); 0047 0048 /// Copy constructor - with shift 0049 /// 0050 /// @param gctx The current geometry context object, e.g. alignment 0051 /// @param other is the source cone surface 0052 /// @param transform is the additional transform applied after copying 0053 PlaneSurface(const GeometryContext& gctx, const PlaneSurface& other, 0054 const Transform3& transform); 0055 0056 /// Constructor from SurfacePlacementBase : Element proxy 0057 /// 0058 /// @param pbounds are the provided planar bounds 0059 /// @param placement Reference to the surface placement 0060 /// @note The Surface does not take any ownership over the 0061 /// `SurfacePlacementBase` it is expected that the user 0062 /// ensures the life-time of the `SurfacePlacementBase` 0063 /// and that the `Surface` is actually owned by 0064 /// the `SurfacePlacementBase` instance 0065 PlaneSurface(std::shared_ptr<const PlanarBounds> pbounds, 0066 const SurfacePlacementBase& placement); 0067 0068 /// Constructor for Planes with (optional) shared bounds object 0069 /// 0070 /// @param transform transform in 3D that positions this surface 0071 /// @param pbounds bounds object to describe the actual surface area 0072 explicit PlaneSurface(const Transform3& transform, 0073 std::shared_ptr<const PlanarBounds> pbounds = nullptr); 0074 0075 public: 0076 /// Assignment operator 0077 /// 0078 /// @param other The source PlaneSurface for assignment 0079 /// @return Reference to this PlaneSurface after assignment 0080 PlaneSurface& operator=(const PlaneSurface& other); 0081 0082 // Use overloads from `RegularSurface` 0083 using RegularSurface::globalToLocal; 0084 using RegularSurface::localToGlobal; 0085 using RegularSurface::normal; 0086 0087 /// Get the normal vector of this surface at a given local position 0088 /// 0089 /// @param gctx The current geometry context object, e.g. alignment 0090 /// @param lposition is the local position is ignored 0091 /// 0092 /// @return Normal vector as Vector3 by value 0093 Vector3 normal(const GeometryContext& gctx, 0094 const Vector2& lposition) const final; 0095 0096 /// Get the normal vector of this surface at a given global position 0097 /// @note The @p position is required to be on-surface. 0098 /// @param gctx The current geometry context object, e.g. alignment 0099 /// @param position is the global positiono (for @ref PlaneSurface this is ignored) 0100 /// @return The normal vector 0101 Vector3 normal(const GeometryContext& gctx, 0102 const Vector3& position) const final; 0103 0104 /// Get the normal vector, independent of the location 0105 /// @param gctx The current geometry context object, e.g. alignment 0106 /// @return The normal vector 0107 Vector3 normal(const GeometryContext& gctx) const; 0108 0109 /// The axis position is the position calculated 0110 /// for a certain axis type 0111 /// 0112 /// @param gctx The current geometry context object, e.g. alignment 0113 /// @param aDir is the axis direction of reference position request 0114 /// 0115 /// @return position that can be used for this axis 0116 Vector3 referencePosition(const GeometryContext& gctx, 0117 AxisDirection aDir) const final; 0118 0119 using Surface::referenceFrame; 0120 0121 /// Return method for the reference frame 0122 /// This is the frame in which the covariance matrix is defined (specialized 0123 /// by all surfaces) 0124 /// 0125 /// @param gctx The current geometry context object, e.g. alignment 0126 /// 0127 /// @return RotationMatrix3 which defines the three axes of the measurement 0128 /// frame 0129 RotationMatrix3 referenceFrame(const GeometryContext& gctx) const; 0130 0131 /// Return the surface type 0132 /// @return Surface type identifier 0133 SurfaceType type() const override; 0134 0135 /// Return method for bounds object of this surfrace 0136 /// @return Reference to the surface bounds 0137 const SurfaceBounds& bounds() const override; 0138 /// This method returns the shared_ptr to the DiscBounds 0139 /// @return Shared pointer to the planar bounds 0140 const std::shared_ptr<const PlanarBounds>& boundsPtr() const; 0141 /// Overwrite the existing surface bounds with new ones 0142 /// @param newBounds: Pointer to the new bounds 0143 void assignSurfaceBounds(std::shared_ptr<const PlanarBounds> newBounds); 0144 0145 /// Local to global transformation 0146 /// 0147 /// @note For planar surfaces the momentum direction is ignored in the local to global 0148 /// transformation 0149 /// 0150 /// @param gctx The current geometry context object, e.g. alignment 0151 /// @param lposition local 2D position in specialized surface frame 0152 /// 0153 /// @return the global position by value 0154 Vector3 localToGlobal(const GeometryContext& gctx, 0155 const Vector2& lposition) const override; 0156 0157 /// Global to local transformation 0158 /// 0159 /// @note For planar surfaces the momentum direction is ignored in the global to local 0160 /// transformation 0161 /// 0162 /// @param gctx The current geometry context object, e.g. alignment 0163 /// @param position global 3D position - considered to be on surface but not 0164 /// inside bounds (check is done) 0165 /// @param tolerance optional tolerance within which a point is considered 0166 /// valid on surface 0167 /// 0168 /// @return a Result<Vector2> which can be !ok() if the operation fails 0169 Result<Vector2> globalToLocal( 0170 const GeometryContext& gctx, const Vector3& position, 0171 double tolerance = s_onSurfaceTolerance) const override; 0172 0173 /// Method that calculates the correction due to incident angle 0174 /// 0175 /// @param gctx The current geometry context object, e.g. alignment 0176 /// @param position global 3D position (ignored for @ref PlaneSurface) 0177 /// @param direction global 3D momentum direction (ignored for @ref PlaneSurface) 0178 /// @return a double representing the scaling factor 0179 double pathCorrection(const GeometryContext& gctx, const Vector3& position, 0180 const Vector3& direction) const final; 0181 0182 /// @brief Straight line intersection 0183 /// 0184 /// @param gctx The current geometry context object, e.g. alignment 0185 /// @param position The start position of the intersection attempt 0186 /// @param direction The direction of the intersection attempt, 0187 /// (@note expected to be normalized) 0188 /// @param boundaryTolerance The boundary check directive 0189 /// @param tolerance the tolerance used for the intersection 0190 /// 0191 /// <b>mathematical motivation:</b> 0192 /// 0193 /// the equation of the plane is given by: <br> 0194 /// @f$ \vec n \cdot \vec x = \vec n \cdot \vec p,@f$ <br> 0195 /// where @f$ \vec n = (n_{x}, n_{y}, n_{z})@f$ denotes the normal vector of 0196 /// the plane, @f$ \vec p = (p_{x}, p_{y}, p_{z})@f$ one specific point 0197 /// on the plane and @f$ \vec x = (x,y,z) @f$ all possible points 0198 /// on the plane.<br> 0199 /// 0200 /// Given a line with:<br> 0201 /// @f$ \vec l(u) = \vec l_{1} + u \cdot \vec v @f$, <br> 0202 /// the solution for @f$ u @f$ can be written: 0203 /// @f$ u = \frac{\vec n (\vec p - \vec l_{1})}{\vec n \vec v}@f$ <br> 0204 /// If the denominator is 0 then the line lies: 0205 /// - either in the plane 0206 /// - perpendicular to the normal of the plane 0207 /// 0208 /// @return the @c MultiIntersection3D object 0209 MultiIntersection3D intersect( 0210 const GeometryContext& gctx, const Vector3& position, 0211 const Vector3& direction, 0212 const BoundaryTolerance& boundaryTolerance = 0213 BoundaryTolerance::Infinite(), 0214 double tolerance = s_onSurfaceTolerance) const final; 0215 0216 /// Return a Polyhedron for the surfaces 0217 /// 0218 /// @param gctx The current geometry context object, e.g. alignment 0219 /// @param quarterSegments is the number of segments used to describe curved 0220 /// segments in a quarter of the phi range. If it is 1, then only the extrema 0221 /// points in phi are inserted next to the segment corners. 0222 /// 0223 /// @note for planar surfaces without curved segments @c quarterSegments is ignored 0224 /// 0225 /// @return A list of vertices and a face/facett description of it 0226 Polyhedron polyhedronRepresentation( 0227 const GeometryContext& gctx, unsigned int quarterSegments) const override; 0228 0229 /// Return properly formatted class name for screen output 0230 /// @return String representation of the class name 0231 std::string name() const override; 0232 0233 /// Calculate the derivative of bound track parameters local position w.r.t. 0234 /// position in local 3D Cartesian coordinates 0235 /// 0236 /// @param gctx The current geometry context object, e.g. alignment 0237 /// @param position The position of the parameters in global 0238 /// 0239 /// @return Derivative of bound local position w.r.t. position in local 3D 0240 /// cartesian coordinates 0241 Matrix<2, 3> localCartesianToBoundLocalDerivative( 0242 const GeometryContext& gctx, const Vector3& position) const final; 0243 0244 /// Merge two plane surfaces into a single one. 0245 /// @note The surfaces need to be *compatible*, i.e. have bounds 0246 /// that align along merging direction, and have the same bound size 0247 /// along the non-merging direction 0248 /// @param other The other plane surface to merge with 0249 /// @param direction The direction: either @c AxisX or @c AxisY 0250 /// @param logger The logger to use 0251 /// @return The merged plane surface and a boolean indicating if surfaces are reversed 0252 /// @note The returned boolean is `false` if `this` is *left* or 0253 /// *counter-clockwise* of @p other, and `true` if not. 0254 std::pair<std::shared_ptr<PlaneSurface>, bool> mergedWith( 0255 const PlaneSurface& other, AxisDirection direction, 0256 const Logger& logger = getDummyLogger()) const; 0257 0258 protected: 0259 /// the bounds of this surface 0260 std::shared_ptr<const PlanarBounds> m_bounds; 0261 0262 /// @copydoc Surface::localAxes 0263 std::array<AxisDirection, 2> localAxes() const override { 0264 return {AxisDirection::AxisX, AxisDirection::AxisY}; 0265 } 0266 }; 0267 0268 static_assert(RegularSurfaceConcept<PlaneSurface>, 0269 "PlaneSurface does not fulfill RegularSurfaceConcept"); 0270 0271 } // namespace Acts
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