G4Orb.cc

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//
// $Id: G4Orb.cc 69788 2013-05-15 12:06:57Z gcosmo $
//
// class G4Orb
//
// Implementation for G4Orb class
//
// History:
//
// 05.04.12 M.Kelsey   - GetPointOnSurface() throw flat in cos(theta)
// 30.06.04 V.Grichine - bug fixed in DistanceToIn(p,v) on Rmax surface
// 20.08.03 V.Grichine - created
//

#include <assert.h>

#include "G4Orb.hh"

#include "G4VoxelLimits.hh"
#include "G4AffineTransform.hh"
#include "G4GeometryTolerance.hh"

#include "G4VPVParameterisation.hh"

#include "Randomize.hh"

#include "meshdefs.hh"

#include "G4VGraphicsScene.hh"
#include "G4Polyhedron.hh"
#include "G4NURBS.hh"
#include "G4NURBSbox.hh"

using namespace CLHEP;

// Private enum: Not for external use - used by distanceToOut

enum ESide {kNull,kRMax};

// used by normal

enum ENorm {kNRMax};


//
// constructor - check positive radius
//             

G4Orb::G4Orb( const G4String& pName, G4double pRmax )
: G4CSGSolid(pName), fRmax(pRmax)
{

  const G4double fEpsilon = 2.e-11;  // relative tolerance of fRmax

  G4double kRadTolerance
    = G4GeometryTolerance::GetInstance()->GetRadialTolerance();

  // Check radius
  //
  if ( pRmax < 10*kCarTolerance )
  {
    G4Exception("G4Orb::G4Orb()", "GeomSolids0002", FatalException,
                "Invalid radius > 10*kCarTolerance.");
  }
  fRmaxTolerance =  std::max( kRadTolerance, fEpsilon*fRmax);

}

//
// Fake default constructor - sets only member data and allocates memory
//                            for usage restricted to object persistency.
//
G4Orb::G4Orb( __void__& a )
  : G4CSGSolid(a), fRmax(0.), fRmaxTolerance(0.)
{
}

//
// Destructor

G4Orb::~G4Orb()
{
}

//
// Copy constructor

G4Orb::G4Orb(const G4Orb& rhs)
  : G4CSGSolid(rhs), fRmax(rhs.fRmax), fRmaxTolerance(rhs.fRmaxTolerance)
{
}

//
// Assignment operator

G4Orb& G4Orb::operator = (const G4Orb& rhs) 
{
   // Check assignment to self
   //
   if (this == &rhs)  { return *this; }

   // Copy base class data
   //
   G4CSGSolid::operator=(rhs);

   // Copy data
   //
   fRmax = rhs.fRmax;
   fRmaxTolerance = rhs.fRmaxTolerance;

   return *this;
}

//
// Dispatch to parameterisation for replication mechanism dimension
// computation & modification.

void G4Orb::ComputeDimensions(       G4VPVParameterisation* p,
                               const G4int n,
                               const G4VPhysicalVolume* pRep )
{
  p->ComputeDimensions(*this,n,pRep);
}

//
// Calculate extent under transform and specified limit

G4bool G4Orb::CalculateExtent( const EAxis pAxis,
                               const G4VoxelLimits& pVoxelLimit,
                               const G4AffineTransform& pTransform,
                                        G4double& pMin, G4double& pMax ) const
{
    // Compute x/y/z mins and maxs for bounding box respecting limits,
    // with early returns if outside limits. Then switch() on pAxis,
    // and compute exact x and y limit for x/y case
      
    G4double xoffset,xMin,xMax;
    G4double yoffset,yMin,yMax;
    G4double zoffset,zMin,zMax;

    G4double diff1,diff2,delta,maxDiff,newMin,newMax;
    G4double xoff1,xoff2,yoff1,yoff2;

    xoffset=pTransform.NetTranslation().x();
    xMin=xoffset-fRmax;
    xMax=xoffset+fRmax;

    if (pVoxelLimit.IsXLimited())
    {
      if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance)
        || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) )
      {
        return false;
      }
      else
      {
        if (xMin<pVoxelLimit.GetMinXExtent())
        {
          xMin=pVoxelLimit.GetMinXExtent();
        }
        if (xMax>pVoxelLimit.GetMaxXExtent())
        {
          xMax=pVoxelLimit.GetMaxXExtent();
        }
      }
    }
    yoffset=pTransform.NetTranslation().y();
    yMin=yoffset-fRmax;
    yMax=yoffset+fRmax;

    if (pVoxelLimit.IsYLimited())
    {
      if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance)
        || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) )
      {
        return false;
      }
      else
      {
        if (yMin<pVoxelLimit.GetMinYExtent())
        {
          yMin=pVoxelLimit.GetMinYExtent();
        }
        if (yMax>pVoxelLimit.GetMaxYExtent())
        {
          yMax=pVoxelLimit.GetMaxYExtent();
        }
      }
    }
    zoffset=pTransform.NetTranslation().z();
    zMin=zoffset-fRmax;
    zMax=zoffset+fRmax;

    if (pVoxelLimit.IsZLimited())
    {
      if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance)
        || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) )
      {
        return false;
      }
      else
      {
        if (zMin<pVoxelLimit.GetMinZExtent())
        {
          zMin=pVoxelLimit.GetMinZExtent();
        }
        if (zMax>pVoxelLimit.GetMaxZExtent())
        {
          zMax=pVoxelLimit.GetMaxZExtent();
        }
      }
    }

    // Known to cut sphere

    switch (pAxis)
    {
      case kXAxis:
        yoff1=yoffset-yMin;
        yoff2=yMax-yoffset;

        if ( yoff1 >= 0 && yoff2 >= 0 )
        {
          // Y limits cross max/min x => no change
          //
          pMin=xMin;
          pMax=xMax;
        }
        else
        {
          // Y limits don't cross max/min x => compute max delta x,
          // hence new mins/maxs
          //
          delta=fRmax*fRmax-yoff1*yoff1;
          diff1=(delta>0.) ? std::sqrt(delta) : 0.;
          delta=fRmax*fRmax-yoff2*yoff2;
          diff2=(delta>0.) ? std::sqrt(delta) : 0.;
          maxDiff=(diff1>diff2) ? diff1:diff2;
          newMin=xoffset-maxDiff;
          newMax=xoffset+maxDiff;
          pMin=(newMin<xMin) ? xMin : newMin;
          pMax=(newMax>xMax) ? xMax : newMax;
        }
        break;
      case kYAxis:
        xoff1=xoffset-xMin;
        xoff2=xMax-xoffset;
        if (xoff1>=0&&xoff2>=0)
        {
          // X limits cross max/min y => no change
          //
          pMin=yMin;
          pMax=yMax;
        }
        else
        {
          // X limits don't cross max/min y => compute max delta y,
          // hence new mins/maxs
          //
          delta=fRmax*fRmax-xoff1*xoff1;
          diff1=(delta>0.) ? std::sqrt(delta) : 0.;
          delta=fRmax*fRmax-xoff2*xoff2;
          diff2=(delta>0.) ? std::sqrt(delta) : 0.;
          maxDiff=(diff1>diff2) ? diff1:diff2;
          newMin=yoffset-maxDiff;
          newMax=yoffset+maxDiff;
          pMin=(newMin<yMin) ? yMin : newMin;
          pMax=(newMax>yMax) ? yMax : newMax;
        }
        break;
      case kZAxis:
        pMin=zMin;
        pMax=zMax;
        break;
      default:
        break;
    }
    pMin -= fRmaxTolerance;
    pMax += fRmaxTolerance;

    return true;  
  
}

//
// Return whether point inside/outside/on surface
// Split into radius checks
// 

EInside G4Orb::Inside( const G4ThreeVector& p ) const
{
  G4double rad2,tolRMax;
  EInside in;


  rad2 = p.x()*p.x()+p.y()*p.y()+p.z()*p.z();

  G4double radius = std::sqrt(rad2);

  // G4double radius = std::sqrt(rad2);
  // Check radial surface
  // sets `in'
  
  tolRMax = fRmax - fRmaxTolerance*0.5;
    
  if ( radius <= tolRMax )  { in = kInside; }
  else
  {
    tolRMax = fRmax + fRmaxTolerance*0.5;       
    if ( radius <= tolRMax )  { in = kSurface; }
    else                   { in = kOutside; }
  }
  return in;
}

//
// Return unit normal of surface closest to p
// - note if point on z axis, ignore phi divided sides
// - unsafe if point close to z axis a rmin=0 - no explicit checks

G4ThreeVector G4Orb::SurfaceNormal( const G4ThreeVector& p ) const
{
  ENorm side = kNRMax;
  G4ThreeVector norm;
  G4double radius = std::sqrt(p.x()*p.x()+p.y()*p.y()+p.z()*p.z());

  switch (side)
  {
    case kNRMax: 
      norm = G4ThreeVector(p.x()/radius,p.y()/radius,p.z()/radius);
      break;
   default:        // Should never reach this case ...
      DumpInfo();
      G4Exception("G4Orb::SurfaceNormal()", "GeomSolids1002", JustWarning,
                  "Undefined side for valid surface normal to solid.");
      break;    
  } 

  return norm;
}

//
// Calculate distance to shape from outside, along normalised vector
// - return kInfinity if no intersection, or intersection distance <= tolerance
//
// -> If point is outside outer radius, compute intersection with rmax
//        - if no intersection return
//        - if  valid phi,theta return intersection Dist

G4double G4Orb::DistanceToIn( const G4ThreeVector& p,
                              const G4ThreeVector& v  ) const
{
  G4double snxt = kInfinity;      // snxt = default return value

  G4double radius, pDotV3d; // , tolORMax2, tolIRMax2;
  G4double c, d2, sd = kInfinity;

  const G4double dRmax = 100.*fRmax;

  // General Precalcs

  radius  = std::sqrt(p.x()*p.x() + p.y()*p.y() + p.z()*p.z());
  pDotV3d = p.x()*v.x() + p.y()*v.y() + p.z()*v.z();

  // Radial Precalcs

  // tolORMax2 = (fRmax+fRmaxTolerance*0.5)*(fRmax+fRmaxTolerance*0.5);
  // tolIRMax2 = (fRmax-fRmaxTolerance*0.5)*(fRmax-fRmaxTolerance*0.5);

  // Outer spherical shell intersection
  // - Only if outside tolerant fRmax
  // - Check for if inside and outer G4Orb heading through solid (-> 0)
  // - No intersect -> no intersection with G4Orb
  //
  // Shell eqn: x^2+y^2+z^2 = RSPH^2
  //
  // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2
  //
  // => (px^2+py^2+pz^2) +2sd(pxvx+pyvy+pzvz)+sd^2(vx^2+vy^2+vz^2)=R^2
  // =>      rad2        +2sd(pDotV3d)      +sd^2                =R^2
  //
  // => sd=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2))

  c = (radius - fRmax)*(radius + fRmax);

  if( radius > fRmax-fRmaxTolerance*0.5 ) // not inside in terms of Inside(p)
  {
    if ( c > fRmaxTolerance*fRmax )
    {
      // If outside tolerant boundary of outer G4Orb in terms of c
      // [ should be std::sqrt(rad2) - fRmax > fRmaxTolerance*0.5 ]

      d2 = pDotV3d*pDotV3d - c;

      if ( d2 >= 0 )
      {
        sd = -pDotV3d - std::sqrt(d2);
        if ( sd >= 0 )
        {
          if ( sd > dRmax ) // Avoid rounding errors due to precision issues seen on
          {                 // 64 bits systems. Split long distances and recompute
            G4double fTerm = sd - std::fmod(sd,dRmax);
            sd = fTerm + DistanceToIn(p+fTerm*v,v);
          } 
          return snxt = sd;
        }
      }
      else    // No intersection with G4Orb
      {
        return snxt = kInfinity;
      }
    }
    else // not outside in terms of c
    {
      if ( c > -fRmaxTolerance*fRmax )  // on surface  
      {
        d2 = pDotV3d*pDotV3d - c;             
        if ( (d2 < fRmaxTolerance*fRmax) || (pDotV3d >= 0) )
        {
          return snxt = kInfinity;
        }
        else
        {
          return snxt = 0.;
        }
      }
    }
  }
#ifdef G4CSGDEBUG
  else // inside ???
  {
      G4Exception("G4Orb::DistanceToIn(p,v)", "GeomSolids1002",
                  JustWarning, "Point p is inside !?");
  }
#endif

  return snxt;
}

//
// Calculate distance (<= actual) to closest surface of shape from outside
// - Calculate distance to radial plane
// - Return 0 if point inside

G4double G4Orb::DistanceToIn( const G4ThreeVector& p ) const
{
  G4double safe = 0.0,
           radius  = std::sqrt(p.x()*p.x()+p.y()*p.y()+p.z()*p.z());
  safe = radius - fRmax;
  if( safe < 0 ) { safe = 0.; }
  return safe;
}

//
// Calculate distance to surface of shape from `inside', allowing for tolerance
// 

G4double G4Orb::DistanceToOut( const G4ThreeVector& p,
                               const G4ThreeVector& v,
                               const G4bool calcNorm,
                                     G4bool *validNorm,
                                     G4ThreeVector *n   ) const
{
  G4double snxt = kInfinity;     // ??? snxt is default return value
  ESide    side = kNull;
  
  G4double rad2,pDotV3d; 
  G4double xi,yi,zi;      // Intersection point
  G4double c,d2;
                 
  rad2    = p.x()*p.x() + p.y()*p.y() + p.z()*p.z();
  pDotV3d = p.x()*v.x() + p.y()*v.y() + p.z()*v.z();
    
  // Radial Intersection from G4Orb::DistanceToIn
  //
  // Outer spherical shell intersection
  // - Only if outside tolerant fRmax
  // - Check for if inside and outer G4Orb heading through solid (-> 0)
  // - No intersect -> no intersection with G4Orb
  //
  // Shell eqn: x^2+y^2+z^2=RSPH^2
  //
  // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2
  //
  // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2
  // =>      rad2        +2s(pDotV3d)       +s^2                =R^2
  //
  // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2))
  
  const G4double  Rmax_plus = fRmax + fRmaxTolerance*0.5;
  G4double radius = std::sqrt(rad2);

  if ( radius <= Rmax_plus )
  {
    c = (radius - fRmax)*(radius + fRmax);

    if ( c < fRmaxTolerance*fRmax ) 
    {
      // Within tolerant Outer radius 
      // 
      // The test is
      //     radius  - fRmax < 0.5*fRmaxTolerance
      // =>  radius  < fRmax + 0.5*kRadTol
      // =>  rad2 < (fRmax + 0.5*kRadTol)^2
      // =>  rad2 < fRmax^2 + 2.*0.5*fRmax*kRadTol + 0.25*kRadTol*kRadTol
      // =>  rad2 - fRmax^2    <~    fRmax*kRadTol 

      d2 = pDotV3d*pDotV3d - c;

      if( ( c > -fRmaxTolerance*fRmax) &&         // on tolerant surface
          ( ( pDotV3d >= 0 )   || ( d2 < 0 )) )   // leaving outside from Rmax 
                                                  // not re-entering
      {
        if(calcNorm)
        {
          *validNorm = true;
          *n         = G4ThreeVector(p.x()/fRmax,p.y()/fRmax,p.z()/fRmax);
        }
        return snxt = 0;
      }
      else 
      {
        snxt = -pDotV3d + std::sqrt(d2);    // second root since inside Rmax
        side = kRMax; 
      }
    }
  }
  else // p is outside ???
  {
    G4cout << G4endl;
    DumpInfo();
    std::ostringstream message;
    G4int oldprc = message.precision(16);
    message << "Logic error: snxt = kInfinity ???" << G4endl
            << "Position:"  << G4endl << G4endl
            << "p.x() = "   << p.x()/mm << " mm" << G4endl
            << "p.y() = "   << p.y()/mm << " mm" << G4endl
            << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl
            << "Rp = "<< std::sqrt( p.x()*p.x()+p.y()*p.y()+p.z()*p.z() )/mm
            << " mm" << G4endl << G4endl
            << "Direction:" << G4endl << G4endl
            << "v.x() = "   << v.x() << G4endl
            << "v.y() = "   << v.y() << G4endl
            << "v.z() = "   << v.z() << G4endl << G4endl
            << "Proposed distance :" << G4endl << G4endl
            << "snxt = "    << snxt/mm << " mm" << G4endl;
    message.precision(oldprc);
    G4Exception("G4Orb::DistanceToOut(p,v,..)", "GeomSolids1002",
                JustWarning, message);
  }
  if (calcNorm)    // Output switch operator
  {
    switch( side )
    {
      case kRMax:
        xi=p.x()+snxt*v.x();
        yi=p.y()+snxt*v.y();
        zi=p.z()+snxt*v.z();
        *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi/fRmax);
        *validNorm=true;
        break;
      default:
        G4cout << G4endl;
        DumpInfo();
        std::ostringstream message;
        G4int oldprc = message.precision(16);
        message << "Undefined side for valid surface normal to solid."
                << G4endl
                << "Position:"  << G4endl << G4endl
                << "p.x() = "   << p.x()/mm << " mm" << G4endl
                << "p.y() = "   << p.y()/mm << " mm" << G4endl
                << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl
                << "Direction:" << G4endl << G4endl
                << "v.x() = "   << v.x() << G4endl
                << "v.y() = "   << v.y() << G4endl
                << "v.z() = "   << v.z() << G4endl << G4endl
                << "Proposed distance :" << G4endl << G4endl
                << "snxt = "    << snxt/mm << " mm" << G4endl;
        message.precision(oldprc);
        G4Exception("G4Orb::DistanceToOut(p,v,..)","GeomSolids1002",
                    JustWarning, message);
        break;
    }
  }
  return snxt;
}

//
// Calculate distance (<=actual) to closest surface of shape from inside

G4double G4Orb::DistanceToOut( const G4ThreeVector& p ) const
{
  G4double safe=0.0,radius = std::sqrt(p.x()*p.x()+p.y()*p.y()+p.z()*p.z());

#ifdef G4CSGDEBUG
  if( Inside(p) == kOutside )
  {
     G4int oldprc = G4cout.precision(16);
     G4cout << G4endl;
     DumpInfo();
     G4cout << "Position:"  << G4endl << G4endl;
     G4cout << "p.x() = "   << p.x()/mm << " mm" << G4endl;
     G4cout << "p.y() = "   << p.y()/mm << " mm" << G4endl;
     G4cout << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl;
     G4cout.precision(oldprc);
     G4Exception("G4Orb::DistanceToOut(p)", "GeomSolids1002",
                 JustWarning, "Point p is outside !?" );
  }
#endif

  safe = fRmax - radius;
  if ( safe < 0. ) safe = 0.;
  return safe;
}

//
// G4EntityType

G4GeometryType G4Orb::GetEntityType() const
{
  return G4String("G4Orb");
}

//
// Make a clone of the object
//
G4VSolid* G4Orb::Clone() const
{
  return new G4Orb(*this);
}

//
// Stream object contents to an output stream

std::ostream& G4Orb::StreamInfo( std::ostream& os ) const
{
  G4int oldprc = os.precision(16);
  os << "-----------------------------------------------------------\n"
     << "    *** Dump for solid - " << GetName() << " ***\n"
     << "    ===================================================\n"
     << " Solid type: G4Orb\n"
     << " Parameters: \n"

     << "    outer radius: " << fRmax/mm << " mm \n"
     << "-----------------------------------------------------------\n";
  os.precision(oldprc);

  return os;
}

//
// GetPointOnSurface

G4ThreeVector G4Orb::GetPointOnSurface() const
{
  //  generate a random number from zero to 2pi...
  //
  G4double phi      = RandFlat::shoot(0.,2.*pi);
  G4double cosphi   = std::cos(phi);
  G4double sinphi   = std::sin(phi);

  // generate a random point uniform in area
  G4double costheta = RandFlat::shoot(-1.,1.);
  G4double sintheta = std::sqrt(1.-sqr(costheta));
  
  return G4ThreeVector (fRmax*sintheta*cosphi,
                        fRmax*sintheta*sinphi, fRmax*costheta); 
}

//
// Methods for visualisation

void G4Orb::DescribeYourselfTo ( G4VGraphicsScene& scene ) const
{
  scene.AddSolid (*this);
}

G4Polyhedron* G4Orb::CreatePolyhedron () const
{
  return new G4PolyhedronSphere (0., fRmax, 0., 2*pi, 0., pi);
}

G4NURBS* G4Orb::CreateNURBS () const
{
  return new G4NURBSbox (fRmax, fRmax, fRmax);       // Box for now!!!
}

---