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0001 // This file is part of the Acts project. 0002 // 0003 // Copyright (C) 2016-2020 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 http://mozilla.org/MPL/2.0/. 0008 0009 #pragma once 0010 0011 #include "Acts/Definitions/Algebra.hpp" 0012 #include "Acts/Definitions/Alignment.hpp" 0013 #include "Acts/Definitions/Common.hpp" 0014 #include "Acts/Definitions/Tolerance.hpp" 0015 #include "Acts/Definitions/TrackParametrization.hpp" 0016 #include "Acts/Geometry/DetectorElementBase.hpp" 0017 #include "Acts/Geometry/GeometryContext.hpp" 0018 #include "Acts/Geometry/GeometryObject.hpp" 0019 #include "Acts/Geometry/Polyhedron.hpp" 0020 #include "Acts/Surfaces/BoundaryCheck.hpp" 0021 #include "Acts/Surfaces/SurfaceBounds.hpp" 0022 #include "Acts/Surfaces/SurfaceError.hpp" 0023 #include "Acts/Surfaces/detail/AlignmentHelper.hpp" 0024 #include "Acts/Utilities/BinnedArray.hpp" 0025 #include "Acts/Utilities/BinningType.hpp" 0026 #include "Acts/Utilities/Intersection.hpp" 0027 #include "Acts/Utilities/Result.hpp" 0028 0029 #include <array> 0030 #include <cstddef> 0031 #include <memory> 0032 #include <ostream> 0033 #include <string> 0034 #include <tuple> 0035 #include <utility> 0036 0037 namespace Acts { 0038 0039 class DetectorElementBase; 0040 class SurfaceBounds; 0041 class ISurfaceMaterial; 0042 class Layer; 0043 class TrackingVolume; 0044 class IVisualization3D; 0045 class Surface; 0046 0047 /// Typedef of the surface intersection 0048 using SurfaceIntersection = ObjectIntersection<Surface>; 0049 /// Typedef of the surface multi-intersection 0050 using SurfaceMultiIntersection = ObjectMultiIntersection<Surface>; 0051 0052 /// @class Surface 0053 /// 0054 /// @brief Abstract Base Class for tracking surfaces 0055 /// 0056 /// The Surface class builds the core of the Acts Tracking Geometry. 0057 /// All other geometrical objects are either extending the surface or 0058 /// are built from it. 0059 /// 0060 /// Surfaces are either owned by Detector elements or the Tracking Geometry, 0061 /// in which case they are not copied within the data model objects. 0062 /// 0063 class Surface : public virtual GeometryObject, 0064 public std::enable_shared_from_this<Surface> { 0065 public: 0066 /// @enum SurfaceType 0067 /// 0068 /// This enumerator simplifies the persistency & calculations, 0069 /// by saving a dynamic_cast, e.g. for persistency 0070 enum SurfaceType { 0071 Cone = 0, 0072 Cylinder = 1, 0073 Disc = 2, 0074 Perigee = 3, 0075 Plane = 4, 0076 Straw = 5, 0077 Curvilinear = 6, 0078 Other = 7 0079 }; 0080 0081 /// Helper strings for screen output 0082 static std::array<std::string, SurfaceType::Other> s_surfaceTypeNames; 0083 0084 protected: 0085 /// Constructor with Transform3 as a shared object 0086 /// 0087 /// @param transform Transform3 positions the surface in 3D global space 0088 /// @note also acts as default constructor 0089 Surface(const Transform3& transform = Transform3::Identity()); 0090 0091 /// Copy constructor 0092 /// 0093 /// @note copy construction invalidates the association 0094 /// to detector element and layer 0095 /// 0096 /// @param other Source surface for copy. 0097 Surface(const Surface& other); 0098 0099 /// Constructor from DetectorElementBase: Element proxy 0100 /// 0101 /// @param detelement Detector element which is represented by this surface 0102 Surface(const DetectorElementBase& detelement); 0103 0104 /// Copy constructor with optional shift 0105 /// 0106 /// @note copy construction invalidates the association 0107 /// to detector element and layer 0108 /// 0109 /// @param gctx The current geometry context object, e.g. alignment 0110 /// @param other Source surface for copy 0111 /// @param shift Additional transform applied as: shift * transform 0112 Surface(const GeometryContext& gctx, const Surface& other, 0113 const Transform3& shift); 0114 0115 public: 0116 virtual ~Surface(); 0117 0118 /// Factory for producing memory managed instances of Surface. 0119 /// Will forward all parameters and will attempt to find a suitable 0120 /// constructor. 0121 template <class T, typename... Args> 0122 static std::shared_ptr<T> makeShared(Args&&... args) { 0123 return std::shared_ptr<T>(new T(std::forward<Args>(args)...)); 0124 } 0125 0126 /// Retrieve a @c std::shared_ptr for this surface (non-const version) 0127 /// 0128 /// @note Will error if this was not created through the @c makeShared factory 0129 /// since it needs access to the original reference. In C++14 this is 0130 /// undefined behavior (but most likely implemented as a @c bad_weak_ptr 0131 /// exception), in C++17 it is defined as that exception. 0132 /// @note Only call this if you need shared ownership of this object. 0133 /// 0134 /// @return The shared pointer 0135 std::shared_ptr<Surface> getSharedPtr(); 0136 0137 /// Retrieve a @c std::shared_ptr for this surface (const version) 0138 /// 0139 /// @note Will error if this was not created through the @c makeShared factory 0140 /// since it needs access to the original reference. In C++14 this is 0141 /// undefined behavior, but most likely implemented as a @c bad_weak_ptr 0142 /// exception, in C++17 it is defined as that exception. 0143 /// @note Only call this if you need shared ownership of this object. 0144 /// 0145 /// @return The shared pointer 0146 std::shared_ptr<const Surface> getSharedPtr() const; 0147 0148 /// Assignment operator 0149 /// @note copy construction invalidates the association 0150 /// to detector element and layer 0151 /// 0152 /// @param other Source surface for the assignment 0153 Surface& operator=(const Surface& other); 0154 0155 /// Comparison (equality) operator 0156 /// The strategy for comparison is 0157 /// (a) first pointer comparison 0158 /// (b) then type comparison 0159 /// (c) then bounds comparison 0160 /// (d) then transform comparison 0161 /// 0162 /// @param other source surface for the comparison 0163 virtual bool operator==(const Surface& other) const; 0164 0165 /// Comparison (non-equality) operator 0166 /// 0167 /// @param sf Source surface for the comparison 0168 virtual bool operator!=(const Surface& sf) const; 0169 0170 public: 0171 /// Return method for the Surface type to avoid dynamic casts 0172 virtual SurfaceType type() const = 0; 0173 0174 /// Return method for the surface Transform3 by reference 0175 /// In case a detector element is associated the surface transform 0176 /// is just forwarded to the detector element in order to keep the 0177 /// (mis-)alignment cache cetrally handled 0178 /// 0179 /// @param gctx The current geometry context object, e.g. alignment 0180 /// 0181 /// @return the contextual transform 0182 virtual const Transform3& transform(const GeometryContext& gctx) const; 0183 0184 /// Return method for the surface center by reference 0185 /// @note the center is always recalculated in order to not keep a cache 0186 /// 0187 /// @param gctx The current geometry context object, e.g. alignment 0188 /// 0189 /// @return center position by value 0190 virtual Vector3 center(const GeometryContext& gctx) const; 0191 0192 /// Return the surface normal at a given @p position and @p direction. 0193 /// This method is fully generic, and valid for all surface types. 0194 /// @note For some surface types, the @p direction is ignored, but 0195 /// it is **not safe** to pass in a zero vector! 0196 /// @param gctx The current geometry context object, e.g. alignment 0197 /// @param pos The position at which to calculate the normal 0198 /// @param direction The direction at which to calculate the normal 0199 /// @return The normal vector at the given position and direction 0200 virtual Vector3 normal(const GeometryContext& gctx, const Vector3& pos, 0201 const Vector3& direction) const = 0; 0202 0203 /// Return method for SurfaceBounds 0204 /// @return SurfaceBounds by reference 0205 virtual const SurfaceBounds& bounds() const = 0; 0206 0207 /// Return method for the associated Detector Element 0208 /// @return plain pointer to the DetectorElement, can be nullptr 0209 const DetectorElementBase* associatedDetectorElement() const; 0210 0211 /// Return method for the associated Layer in which the surface is embedded 0212 /// @return Layer by plain pointer, can be nullptr 0213 const Layer* associatedLayer() const; 0214 0215 /// Set Associated Layer 0216 /// Many surfaces can be associated to a Layer, but it might not be known yet 0217 /// during construction of the layer, this can be set afterwards 0218 /// 0219 /// @param lay the assignment Layer by reference 0220 void associateLayer(const Layer& lay); 0221 0222 /// Return method for the associated Material to this surface 0223 /// @return SurfaceMaterial as plain pointer, can be nullptr 0224 const ISurfaceMaterial* surfaceMaterial() const; 0225 0226 /// Return method for the shared pointer to the associated Material 0227 /// @return SurfaceMaterial as shared_pointer, can be nullptr 0228 const std::shared_ptr<const ISurfaceMaterial>& surfaceMaterialSharedPtr() 0229 const; 0230 0231 /// Assign a detector element 0232 /// 0233 /// @param detelement Detector element which is represented by this surface 0234 void assignDetectorElement(const DetectorElementBase& detelement); 0235 0236 /// Assign the surface material description 0237 /// 0238 /// The material is usually derived in a complicated way and loaded from 0239 /// a framework given source. As various surfaces may share the same source 0240 /// this is provided by a shared pointer 0241 /// 0242 /// @param material Material description associated to this surface 0243 void assignSurfaceMaterial(std::shared_ptr<const ISurfaceMaterial> material); 0244 0245 /// The geometric onSurface method 0246 /// 0247 /// Geometrical check whether position is on Surface 0248 /// 0249 /// @param gctx The current geometry context object, e.g. alignment 0250 /// @param position global position to be evaludated 0251 /// @param direction global momentum direction (required for line-type surfaces) 0252 /// @param bcheck BoundaryCheck directive for this onSurface check 0253 /// 0254 /// @return boolean indication if operation was successful 0255 bool isOnSurface(const GeometryContext& gctx, const Vector3& position, 0256 const Vector3& direction, 0257 const BoundaryCheck& bcheck = BoundaryCheck(true)) const; 0258 0259 /// The insideBounds method for local positions 0260 /// 0261 /// @param lposition The local position to check 0262 /// @param bcheck BoundaryCheck directive for this onSurface check 0263 /// @return boolean indication if operation was successful 0264 virtual bool insideBounds( 0265 const Vector2& lposition, 0266 const BoundaryCheck& bcheck = BoundaryCheck(true)) const; 0267 0268 /// Local to global transformation 0269 /// Generalized local to global transformation for the surface types. Since 0270 /// some surface types need the global momentum/direction to resolve sign 0271 /// ambiguity this is also provided 0272 /// 0273 /// @param gctx The current geometry context object, e.g. alignment 0274 /// @param lposition local 2D position in specialized surface frame 0275 /// @param direction global 3D momentum direction 0276 /// 0277 /// @return The global position by value 0278 virtual Vector3 localToGlobal(const GeometryContext& gctx, 0279 const Vector2& lposition, 0280 const Vector3& direction) const = 0; 0281 0282 /// Global to local transformation 0283 /// Generalized global to local transformation for the surface types. Since 0284 /// some surface types need the global momentum/direction to resolve sign 0285 /// ambiguity this is also provided 0286 /// 0287 /// @param gctx The current geometry context object, e.g. alignment 0288 /// @param position global 3D position - considered to be on surface but not 0289 /// inside bounds (check is done) 0290 /// @param direction global 3D momentum direction 0291 /// @param tolerance optional tolerance within which a point is considered 0292 /// valid on surface 0293 /// 0294 /// @return a Result<Vector2> which can be !ok() if the operation fails 0295 virtual Result<Vector2> globalToLocal( 0296 const GeometryContext& gctx, const Vector3& position, 0297 const Vector3& direction, 0298 double tolerance = s_onSurfaceTolerance) const = 0; 0299 0300 /// Return method for the reference frame 0301 /// This is the frame in which the covariance matrix is defined (specialized 0302 /// by all surfaces) 0303 /// 0304 /// @param gctx The current geometry context object, e.g. alignment 0305 /// @param position global 3D position - considered to be on surface but not 0306 /// inside bounds (check is done) 0307 /// @param direction global 3D momentum direction (optionally ignored) 0308 /// 0309 /// @return RotationMatrix3 which defines the three axes of the measurement 0310 /// frame 0311 virtual Acts::RotationMatrix3 referenceFrame(const GeometryContext& gctx, 0312 const Vector3& position, 0313 const Vector3& direction) const; 0314 0315 /// Calculate the jacobian from local to global which the surface knows best, 0316 /// hence the calculation is done here. 0317 /// 0318 /// @note In principle, the input could also be a free parameters 0319 /// vector as it could be transformed to a bound parameters. But the transform 0320 /// might fail in case the parameters is not on surface. To avoid the check 0321 /// inside this function, it takes directly the bound parameters as input 0322 /// (then the check might be done where this function is called). 0323 /// 0324 /// @todo this mixes track parameterisation and geometry 0325 /// should move to : 0326 /// "Acts/EventData/detail/coordinate_transformations.hpp" 0327 /// 0328 /// @param gctx The current geometry context object, e.g. alignment 0329 /// @param boundParams is the bound parameters vector 0330 /// 0331 /// @return Jacobian from local to global 0332 virtual BoundToFreeMatrix boundToFreeJacobian( 0333 const GeometryContext& gctx, const BoundVector& boundParams) const; 0334 0335 /// Calculate the jacobian from global to local which the surface knows best, 0336 /// hence the calculation is done here. 0337 /// 0338 /// @note It assumes the input free parameters is on surface, hence no 0339 /// onSurface check is done inside this function. 0340 /// 0341 /// @todo this mixes track parameterisation and geometry 0342 /// should move to : 0343 /// "Acts/EventData/detail/coordinate_transformations.hpp" 0344 /// 0345 /// @param gctx The current geometry context object, e.g. alignment 0346 /// @param parameters is the free parameters 0347 /// 0348 /// @return Jacobian from global to local 0349 virtual FreeToBoundMatrix freeToBoundJacobian( 0350 const GeometryContext& gctx, const FreeVector& parameters) const; 0351 0352 /// Calculate the derivative of path length at the geometry constraint or 0353 /// point-of-closest-approach w.r.t. free parameters. The calculation is 0354 /// identical for all surfaces where the reference frame does not depend on 0355 /// the direction 0356 /// 0357 /// @todo this mixes track parameterisation and geometry 0358 /// should move to : 0359 /// "Acts/EventData/detail/coordinate_transformations.hpp" 0360 /// 0361 /// @param gctx The current geometry context object, e.g. alignment 0362 /// @param parameters is the free parameters 0363 /// 0364 /// @return Derivative of path length w.r.t. free parameters 0365 virtual FreeToPathMatrix freeToPathDerivative( 0366 const GeometryContext& gctx, const FreeVector& parameters) const; 0367 0368 /// Calucation of the path correction for incident 0369 /// 0370 /// @param gctx The current geometry context object, e.g. alignment 0371 /// @param position global 3D position 0372 /// @note The @p position is either ignored, or it is coerced to be on the surface, 0373 /// depending on the surface type. 0374 /// @param direction global 3D momentum direction 0375 /// 0376 /// @return Path correction with respect to the nominal incident. 0377 virtual double pathCorrection(const GeometryContext& gctx, 0378 const Vector3& position, 0379 const Vector3& direction) const = 0; 0380 0381 /// Straight line intersection schema from position/direction 0382 /// 0383 /// @param gctx The current geometry context object, e.g. alignment 0384 /// @param position The position to start from 0385 /// @param direction The direction at start 0386 /// @param bcheck the Boundary Check 0387 /// @param tolerance the tolerance used for the intersection 0388 /// 0389 /// @return @c SurfaceMultiIntersection object (contains intersection & surface) 0390 virtual SurfaceMultiIntersection intersect( 0391 const GeometryContext& gctx, const Vector3& position, 0392 const Vector3& direction, 0393 const BoundaryCheck& bcheck = BoundaryCheck(false), 0394 ActsScalar tolerance = s_onSurfaceTolerance) const = 0; 0395 0396 /// Output Method for std::ostream, to be overloaded by child classes 0397 /// 0398 /// @param gctx The current geometry context object, e.g. alignment 0399 /// @param sl is the ostream to be dumped into 0400 virtual std::ostream& toStream(const GeometryContext& gctx, 0401 std::ostream& sl) const; 0402 0403 /// Output into a std::string 0404 /// 0405 /// @param gctx The current geometry context object, e.g. alignment 0406 std::string toString(const GeometryContext& gctx) const; 0407 0408 /// Return properly formatted class name 0409 virtual std::string name() const = 0; 0410 0411 /// Return a Polyhedron for this object 0412 /// 0413 /// @param gctx The current geometry context object, e.g. alignment 0414 /// @param lseg Number of segments along curved lines, if the lseg 0415 /// is set to one, only the corners and the extrema are given, 0416 /// otherwise it represents the number of segments for a full 2*M_PI 0417 /// circle and is scaled to the relevant sector 0418 /// 0419 /// @note An internal surface transform can invalidate the extrema 0420 /// in the transformed space 0421 /// 0422 /// @return A list of vertices and a face/facett description of it 0423 virtual Polyhedron polyhedronRepresentation(const GeometryContext& gctx, 0424 std::size_t lseg) const = 0; 0425 0426 /// The derivative of bound track parameters w.r.t. alignment 0427 /// parameters of its reference surface (i.e. local frame origin in 0428 /// global 3D Cartesian coordinates and its rotation represented with 0429 /// extrinsic Euler angles) 0430 /// 0431 /// @param gctx The current geometry context object, e.g. alignment 0432 /// change of alignment parameters 0433 /// @param parameters is the free parameters 0434 /// @param pathDerivative is the derivative of free parameters w.r.t. path 0435 /// length 0436 /// 0437 /// @return Derivative of bound track parameters w.r.t. local frame 0438 /// alignment parameters 0439 AlignmentToBoundMatrix alignmentToBoundDerivative( 0440 const GeometryContext& gctx, const FreeVector& parameters, 0441 const FreeVector& pathDerivative) const; 0442 0443 /// Calculate the derivative of path length at the geometry constraint or 0444 /// point-of-closest-approach w.r.t. alignment parameters of the surface (i.e. 0445 /// local frame origin in global 3D Cartesian coordinates and its rotation 0446 /// represented with extrinsic Euler angles) 0447 /// 0448 /// @note Re-implementation is needed for surface whose intersection with 0449 /// track is not its local xy plane, e.g. LineSurface, CylinderSurface and 0450 /// ConeSurface 0451 /// 0452 /// @param gctx The current geometry context object, e.g. alignment 0453 /// @param parameters is the free parameters 0454 /// 0455 /// @return Derivative of path length w.r.t. the alignment parameters 0456 virtual AlignmentToPathMatrix alignmentToPathDerivative( 0457 const GeometryContext& gctx, const FreeVector& parameters) const; 0458 0459 /// Calculate the derivative of bound track parameters local position w.r.t. 0460 /// position in local 3D Cartesian coordinates 0461 /// 0462 /// @param gctx The current geometry context object, e.g. alignment 0463 /// @param position The position of the parameters in global 0464 /// 0465 /// @return Derivative of bound local position w.r.t. position in local 3D 0466 /// cartesian coordinates 0467 virtual ActsMatrix<2, 3> localCartesianToBoundLocalDerivative( 0468 const GeometryContext& gctx, const Vector3& position) const = 0; 0469 0470 protected: 0471 /// Transform3 definition that positions 0472 /// (translation, rotation) the surface in global space 0473 Transform3 m_transform = Transform3::Identity(); 0474 0475 /// Pointer to the a DetectorElementBase 0476 const DetectorElementBase* m_associatedDetElement{nullptr}; 0477 0478 /// The associated layer Layer - layer in which the Surface is be embedded, 0479 /// nullptr if not associated 0480 const Layer* m_associatedLayer{nullptr}; 0481 0482 /// The associated TrackingVolume - tracking volume in case the surface is a 0483 /// boundary surface, nullptr if not associated 0484 const TrackingVolume* m_associatedTrackingVolume{nullptr}; 0485 0486 /// Possibility to attach a material description 0487 std::shared_ptr<const ISurfaceMaterial> m_surfaceMaterial; 0488 0489 private: 0490 /// Calculate the derivative of bound track parameters w.r.t. 0491 /// alignment parameters of its reference surface (i.e. origin in global 3D 0492 /// Cartesian coordinates and its rotation represented with extrinsic Euler 0493 /// angles) without any path correction 0494 /// 0495 /// @note This function should be used together with alignment to path 0496 /// derivative to get the full alignment to bound derivatives 0497 /// 0498 /// @param gctx The current geometry context object, e.g. alignment 0499 /// @param parameters is the free parameters 0500 /// 0501 /// @return Derivative of bound track parameters w.r.t. local frame alignment 0502 /// parameters without path correction 0503 AlignmentToBoundMatrix alignmentToBoundDerivativeWithoutCorrection( 0504 const GeometryContext& gctx, const FreeVector& parameters) const; 0505 }; 0506 0507 /// Print surface information to the provided stream. Internally invokes the 0508 /// `surface.toStream(...)`-method. This can be easily used e.g. like `std::cout 0509 /// << std::tie(surface, geometryContext);` 0510 inline std::ostream& operator<<( 0511 std::ostream& os, 0512 const std::tuple<const Surface&, const GeometryContext&>& tup) { 0513 const auto [surface, gctx] = tup; 0514 surface.toStream(gctx, os); 0515 return os; 0516 } 0517 0518 } // namespace Acts
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