Gabriele Cosmo
190 lines
5.4 KiB
Plaintext
190 lines
5.4 KiB
Plaintext
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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//
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// $Id: G4Hyperbola.icc,v 1.9 2006/06/29 18:39:38 gunter Exp $
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// GEANT4 tag $Name: geant4-09-01 $
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//
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// --------------------------------------------------------------------
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// GEANT 4 inline definitions file
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//
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// G4Hyperbola.icc
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//
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// Implementation of inline methods of G4Hyperbola
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// --------------------------------------------------------------------
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inline
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void G4Hyperbola::Init(G4Axis2Placement3D position0,
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G4double semiAxis0, G4double semiImagAxis0)
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{
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position= position0;
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semiAxis= semiAxis0;
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semiImagAxis= semiImagAxis0;
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ratioAxisImagAxis= semiAxis/semiImagAxis;
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// needed only for 2D hyperbolas
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toUnitHyperbola = G4Scale3D(1/semiAxis, 1/semiImagAxis, 0)
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* position.GetToPlacementCoordinates();
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forTangent= semiAxis*semiAxis/(semiImagAxis*semiImagAxis);
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}
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inline
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G4double G4Hyperbola::GetSemiAxis() const
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{
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return semiAxis;
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}
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inline
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G4double G4Hyperbola::GetSemiImagAxis() const
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{
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return semiImagAxis;
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}
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//////////////////////////////////////////////////////////////////////////////
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inline
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G4double G4Hyperbola::GetPMax() const
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{
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return -1;
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}
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inline
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G4Point3D G4Hyperbola::GetPoint(G4double param) const
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{
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return G4Point3D( position.GetLocation()
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+ semiAxis*std::cosh(param)*position.GetPX()
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+ semiImagAxis*std::sinh(param)*position.GetPY() );
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}
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inline
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G4double G4Hyperbola::GetPPoint(const G4Point3D& pt) const
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{
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G4Point3D ptLocal= position.GetToPlacementCoordinates()*pt;
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G4double xval= ptLocal.y()/ptLocal.x()*ratioAxisImagAxis;
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return 0.5*std::log((1+xval)/(1-xval)); // atanh(xval)
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}
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/////////////////////////////////////////////////////////////////////////////
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/*
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#include "G4CurveRayIntersection.hh"
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inline
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void G4Hyperbola::IntersectRay2D(const G4Ray& ray,
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G4CurveRayIntersection& is)
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{
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is.Init(*this, ray);
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// similar to G4Ellipse::IntersectRay2D
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// 2D operations would be faster
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G4Point3D s= toUnitHyperbola*ray.GetStart();
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G4Vector3D d= toUnitHyperbola*ray.GetDir();
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// solve (s+i*t)^2 = 1 for i (the distance)
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G4double sd= s.x()*d.x()-s.y()*d.y();
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G4double dd= d.x()*d.x()-d.y()*d.y(); // can be 0
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G4double ss= s.x()*s.x()-s.y()*s.y();
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if (std::abs(dd) < kCarTolerance*kCarTolerance) {
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// coeff of i^2 == 0
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G4double i= (1-ss)/(2*sd);
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G4CurveRayIntersection isTmp(*this, ray);
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isTmp.ResetDistance(i);
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is.Update(isTmp);
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return;
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}
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G4double discr= sd*sd-dd*(ss-1);
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if (discr >= 0) {
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// 2 intersections (maybe 1, but this case is rare)
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G4double sqrtdiscr= std::sqrt(discr);
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// find the smallest positive i
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G4double i= -sd-sqrtdiscr;
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if (i<kCarTolerance) {
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i= -sd+sqrtdiscr;
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if (i<kCarTolerance) {
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return;
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}
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}
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i/= dd;
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G4CurveRayIntersection isTmp(*this, ray);
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isTmp.ResetDistance(i);
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is.Update(isTmp);
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}
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}
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*/
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inline
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G4int G4Hyperbola::IntersectRay2D(const G4Ray& ray)
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{
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// NOT VERIFIED
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// similar to G4Ellipse::IntersectRay2D
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// 2D operations would be faster
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G4Point3D s= toUnitHyperbola*ray.GetStart();
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G4Vector3D d= toUnitHyperbola*ray.GetDir();
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// solve (s+i*t)^2 = 1 for i (the distance)
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G4double sd= s.x()*d.x()-s.y()*d.y();
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G4double dd= d.x()*d.x()-d.y()*d.y(); // can be 0
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G4double ss= s.x()*s.x()-s.y()*s.y();
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if (std::abs(dd) < kCarTolerance*kCarTolerance) {
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// coeff of i^2 == 0
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return 0;
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}
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G4int nbinter = 0;
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G4double discr= sd*sd-dd*(ss-1);
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if (discr >= 0)
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{
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// 2 intersections (maybe 1, but this case is rare)
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G4double sqrtdiscr= std::sqrt(discr);
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// find the smallest positive i
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G4double i= -sd-sqrtdiscr;
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if (i > kCarTolerance)
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nbinter++;
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i= -sd+sqrtdiscr;
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if (i<kCarTolerance)
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nbinter++;
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}
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return nbinter;
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}
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