403 lines
11 KiB
C++
403 lines
11 KiB
C++
// This code implementation is the intellectual property of
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// the GEANT4 collaboration.
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//
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// By copying, distributing or modifying the Program (or any work
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// based on the Program) you indicate your acceptance of this statement,
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// and all its terms.
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//
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// $Id: G4FConicalSurface.cc,v 1.9 1999/12/15 14:50:01 gunter Exp $
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// GEANT4 tag $Name: geant4-01-01 $
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//
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/* /usr/local/gismo/repo/geometry/G4FConicalSurface.cc,v 1.2 1993/02/05 00:38:39 alanb Exp */
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// File: G4FConicalSurface.cc
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// Author: Alan Breakstone
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// Contents ----------------------------------------------------------
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//
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// G4FConicalSurface::G4FConicalSurface( const G4Point3D& o,
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// const G4Vector3D& a,
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// G4double l, G4double sr, G4double lr )
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// G4FConicalSurface::G4FConicalSurface( const G4FConicalSurface& c )
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// G4FConicalSurface::PrintOn( G4std::ostream& os ) const
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// G4FConicalSurface::operator==( const G4FConicalSurface& c )
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// G4FConicalSurface::WithinBoundary( const G4Vector3D& x ) const
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// G4FConicalSurface::Scale() const
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// G4FConicalSurface::Area() const
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// G4FConicalSurface::resize( G4double l, G4double sr, G4double lr )
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//
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// End ---------------------------------------------------------------
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#include "G4FConicalSurface.hh"
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#include "G4Sort.hh"
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#include "G4CircularCurve.hh"
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G4FConicalSurface::G4FConicalSurface(const G4Point3D& o,
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const G4Vector3D& a,
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G4double l,
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G4double sr,
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G4double lr
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)
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{
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// Make a G4FConicalSurface with origin o, axis a, length l, small radius
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// sr, and large radius lr. The angle is calculated below and the SetAngle
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// function of G4ConicalSurface is used to set it properly from the default
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// value used above in the initialization.
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// Create the position with origin o, axis a, and a direction
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G4Vector3D dir(1,1,1);
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Position.Init(dir, a, o);
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origin = o;
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// Require length to be nonnegative
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if (l >=0)
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length = l;
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else
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{
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G4cerr << "Error in G4FConicalSurface::G4FConicalSurface"
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<< "--asked for negative length\n"
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<< "\tDefault length of 0.0 is used.\n";
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length = 0.0;
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}
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// Require small radius to be non-negative (i.e., allow zero)
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if ( sr >= 0.0 )
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small_radius = sr;
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else
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{
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G4cerr << "Error in G4FConicalSurface::G4FConicalSurface"
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<< "--asked for negative small radius\n"
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<< "\tDefault value of 0.0 is used.\n";
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small_radius = 0.0;
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}
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// Require large radius to exceed small radius
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if ( lr > small_radius )
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large_radius = lr;
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else
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{
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G4cerr << "Error in G4FConicalSurface::G4FConicalSurface"
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<< "--large radius must exceed small radius\n"
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<< "\tDefault value of small radius +1 is used.\n";
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large_radius = small_radius + 1.0;
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}
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// Calculate the angle of the G4ConicalSurface from the length and radii
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tan_angle = ( large_radius - small_radius ) / length ;
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}
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G4FConicalSurface::G4FConicalSurface( const G4FConicalSurface& c )
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//: G4ConicalSurface( c.origin, c.GetAxis(), c.GetAngle() )
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{
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// copy constructor
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small_radius = c.small_radius;
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large_radius = c.large_radius;
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length = c.length;
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tan_angle = c.tan_angle;
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}
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// Modified by L. Broglia (01/12/98)
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void G4FConicalSurface::CalcBBox()
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{
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G4Point3D Max = -PINFINITY;
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G4Point3D Min = PINFINITY;
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G4Point3D Tmp;
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G4double delta = small_radius / tan_angle;
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G4Point3D Origin = Position.GetLocation();
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G4Point3D EndOrigin = Origin + (length * Position.GetAxis());
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G4double radius = large_radius;
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G4Point3D Radius(radius, radius, 0);
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// Default BBox
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G4Point3D Tolerance(kCarTolerance, kCarTolerance, kCarTolerance);
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G4Point3D BoxMin(Origin-Tolerance);
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G4Point3D BoxMax(Origin+Tolerance);
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bbox = new G4BoundingBox3D();
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bbox->Init(BoxMin, BoxMax);
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Tmp = (Origin - Radius);
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bbox->Extend(Tmp);
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Tmp = Origin + Radius;
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bbox->Extend(Tmp);
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Tmp = EndOrigin - Radius;
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bbox->Extend(Tmp);
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Tmp = EndOrigin + Radius;
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bbox->Extend(Tmp);
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}
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void G4FConicalSurface::PrintOn( G4std::ostream& os ) const
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{
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// printing function using C++ G4std::ostream class
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os << "G4FConicalSurface with origin: " << origin << "\t"
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<< "and axis: " << Position.GetAxis() << "\n"
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<< "\t small radius: " << small_radius
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<< "\t large radius: " << large_radius
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<< "\t and length: " << length << "\n";
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}
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int G4FConicalSurface::operator==( const G4FConicalSurface& c )
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{
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return ( origin == c.origin &&
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Position.GetAxis() == c.Position.GetAxis() &&
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small_radius == c.small_radius &&
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large_radius == c.large_radius &&
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length == c.length &&
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tan_angle == c.tan_angle );
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}
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int G4FConicalSurface::WithinBoundary( const G4Vector3D& x ) const
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{
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// return 1 if point x is within the boundaries of the G4FConicalSurface
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// return 0 otherwise (assume it is on the G4ConicalSurface)
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G4Vector3D q = x - origin;
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G4double qmag = q.mag();
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G4double s = sin( atan2(large_radius-small_radius, length) );
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G4double ls = small_radius / s;
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G4double ll = large_radius / s;
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if ( ( qmag >= ls ) && ( qmag <= ll ) )
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return 1;
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else
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return 0;
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}
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G4double G4FConicalSurface::Scale() const
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{
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// Returns the small radius of a G4FConicalSurface unless it is zero, in
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// which case returns the large radius.
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// Used for Scale-invariant tests of surface thickness.
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if ( small_radius == 0.0 )
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return large_radius;
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else
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return small_radius;
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}
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G4double G4FConicalSurface::Area() const
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{
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// Returns the Area of a G4FConicalSurface
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G4double rdif = large_radius - small_radius;
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return ( M_PI * ( small_radius + large_radius ) *
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sqrt( length * length + rdif * rdif ) );
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}
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void G4FConicalSurface::resize( G4double l, G4double sr, G4double lr )
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{
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// Resize a G4FConicalSurface to a new length l, and new radii sr and lr.
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// Must Reset angle of the G4ConicalSurface as well based on these new
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// values.
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// Require length to be non-negative
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// if ( l > 0.0 )
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if ( l >= 0.0 )
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length = l;
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else
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{
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G4cerr << "Error in G4FConicalSurface::resize"
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<< "--asked for negative length\n"
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<< "\tOriginal value of " << length << " is retained.\n";
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}
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// Require small radius to be non-negative (i.e., allow zero)
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if ( sr >= 0.0 )
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small_radius = sr;
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else
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{
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G4cerr << "Error in G4FConicalSurface::resize"
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<< "--asked for negative small radius\n"
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<< "\tOriginal value of " << small_radius
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<< " is retained.\n";
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}
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// Require large radius to exceed small radius
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if ( lr > small_radius )
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large_radius = lr;
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else
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{
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G4double r = small_radius + 1.0;
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lr = ( large_radius <= small_radius ) ? r : large_radius;
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large_radius = lr;
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G4cerr << "Error in G4FConicalSurface::G4FConicalSurface"
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<< "--large radius must exceed small radius\n"
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<< "\tDefault value of " << large_radius << " is used.\n";
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}
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// Calculate the angle of the G4ConicalSurface from the length and radii
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tan_angle = ( large_radius - small_radius ) / length ;
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}
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int G4FConicalSurface::Intersect(const G4Ray& ry )
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{
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// This function count the number of intersections of a
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// bounded conical surface by a ray.
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// At first, calculates the intersections with the semi-infinite
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// conical surfsace. After, count the intersections within the
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// finite conical surface boundaries, and set "distance" to the
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// closest distance from the start point to the nearest intersection
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// If the point is on the surface it returns or the intersection with
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// the opposite surface or kInfinity
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// If no intersection is founded, set distance = kInfinity and
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// return 0
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distance = kInfinity;
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closest_hit = PINFINITY;
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// origin and direction of the ray
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G4Point3D x = ry.GetStart();
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G4Vector3D dhat = ry.GetDir();
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// cone angle and axis
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G4double ta = tan_angle;
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G4Vector3D ahat = Position.GetAxis();
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// array of solutions in distance along the ray
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G4double s[2];
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s[0]=-1.0;
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s[1]=-1.0;
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// calculate the two intersections (quadratic equation)
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G4Vector3D gamma = x - Position.GetLocation();
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G4double t = 1 + ta * ta;
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G4double ga = gamma * ahat;
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G4double da = dhat * ahat;
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G4double A = t * da * da - dhat * dhat;
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G4double B = 2 * ( -gamma * dhat + t * ga * da - large_radius * ta * da);
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G4double C = ( -gamma * gamma + t * ga * ga
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- 2 * large_radius * ta * ga
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+ large_radius * large_radius );
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G4double radical = B * B - 4.0 * A * C;
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if ( radical < 0.0 )
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// no intersection
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return 0;
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else
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{
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G4double root = sqrt( radical );
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s[0] = ( - B + root ) / ( 2. * A );
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s[1] = ( - B - root ) / ( 2. * A );
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}
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// validity of the solutions
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// the hit point must be into the bounding box of the conical surface
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G4Point3D p0 = x + s[0]*dhat;
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G4Point3D p1 = x + s[1]*dhat;
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if( !GetBBox()->Inside(p0) )
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s[0] = kInfinity;
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if( !GetBBox()->Inside(p1) )
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s[1] = kInfinity;
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// now loop over each positive solution, keeping the first one (smallest
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// distance along the ray) which is within the boundary of the sub-shape
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G4int nbinter = 0;
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distance = kInfinity;
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for ( G4int i = 0; i < 2; i++ )
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{
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if(s[i] < kInfinity) {
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if ( (s[i] > kCarTolerance*0.5) ) {
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nbinter++;
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if ( distance > (s[i]*s[i]) ) {
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distance = s[i]*s[i];
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}
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}
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}
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}
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return nbinter;
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}
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G4double G4FConicalSurface::HowNear( const G4Vector3D& x ) const
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{
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// Shortest distance from the point x to the G4FConicalSurface.
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// The distance will be always positive
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// This function works only with Cone axis equal (0,0,1) or (0,0,-1), it project
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// the surface and the point on the x,z plane and compute the distance in analytical
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// way
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G4double hownear ;
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G4Vector3D upcorner = G4Vector3D ( small_radius, 0 , origin.z()+Position.GetAxis().z()*length);
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G4Vector3D downcorner = G4Vector3D ( large_radius, 0 , origin.z());
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G4Vector3D xd;
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xd = G4Vector3D ( sqrt ( x.x()*x.x() + x.y()*x.y() ) , 0 , x.z() );
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G4double m = (upcorner.z() - downcorner.z()) / (upcorner.x() - downcorner.x());
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G4double q = (downcorner.z()*upcorner.x() - upcorner.z()*downcorner.x()) /
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(upcorner.x() - downcorner.x());
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G4double Zinter = (xd.z()*m*m + xd.x()*m +q)/(1+m*m) ;
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if ( ((Zinter >= downcorner.z()) && (Zinter <=upcorner.z())) ||
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((Zinter >= upcorner.z()) && (Zinter <=downcorner.z())) ) {
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hownear = fabs(m*xd.x()-xd.z()+q)/sqrt(1+m*m);
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return hownear;
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} else {
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hownear = G4std::min ( (xd-upcorner).mag() , (xd-downcorner).mag() );
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return hownear;
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}
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}
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G4Vector3D G4FConicalSurface::SurfaceNormal( const G4Point3D& p ) const
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{
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// return the Normal unit vector to the G4ConicalSurface at a point p
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// on (or nearly on) the G4ConicalSurface
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G4Vector3D s = p - origin;
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G4double da = s * Position.GetAxis();
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G4double r = sqrt( s*s - da*da);
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G4double z = tan_angle * r;
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if (Position.GetAxis().z() < 0)
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z = -z;
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G4Vector3D n(p.x(), p.y(), z);
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n = n.unit();
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if( !sameSense )
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n = -n;
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return n;
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}
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int G4FConicalSurface::Inside ( const G4Vector3D& x ) const
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{
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// Return 0 if point x is outside G4ConicalSurface, 1 if Inside.
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if ( HowNear( x ) >= -0.5*kCarTolerance )
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return 1;
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else
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return 0;
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}
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