source: trunk/source/geometry/solids/CSG/test/testDistanceAccuracy.cc@ 1323

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//
//
// Test File for tracking functions on a solid surface
//
// o Basic asserts on each function +
//   awkward cases for tracking / geom algorithms
//
// o Add tests on dicovering bugs in G4Sphere.cc...
//
// History:
//
// 28.03.06 V.Grichine  orb modifications for accuracy 2nd algorithms
//
// 16.07.05 V.Grichine creation for box, tubs, cons, sphere, orb, torus
//                     based on testSurfaceInOut.cc



#include "G4ios.hh"
#include <assert.h>
#include <cmath>
#include "globals.hh"
#include "geomdefs.hh"
#include "Randomize.hh"

#include "ApproxEqual.hh"

#include "G4ThreeVector.hh"
#include "G4RotationMatrix.hh"
#include "G4AffineTransform.hh"
#include "G4VoxelLimits.hh"
#include "G4GeometryTolerance.hh"

#include "G4Box.hh"
#include "G4Orb.hh"
#include "G4Tubs.hh"
#include "G4Sphere.hh"
#include "G4Cons.hh"
#include "G4Hype.hh"
#include "G4Para.hh"
#include "G4Torus.hh"
#include "G4Trd.hh"



///////////////////////////////////////////////////////////////////////////
//
//


//const G4double kApproxEqualTolerance = kCarTolerance;

// Return true if the double check is approximately equal to target
//
// Process:
//
// Return true is difference < kApproxEqualTolerance

//G4bool ApproxEqual(const G4double check,const G4double target)
//{
//    return (std::fabs(check-target)<kApproxEqualTolerance) ? true : false ;
//}

// Return true if the 3vector check is approximately equal to target
//G4bool ApproxEqual(const G4ThreeVector& check, const G4ThreeVector& target)
//{
//    return (ApproxEqual(check.x(),target.x())&&
//         ApproxEqual(check.y(),target.y())&&
//          ApproxEqual(check.z(),target.z()))? true : false;
//}




///////////////////////////////////////////////////////////////////
//
// Dave's auxiliary function

const G4String OutputInside(const EInside a)
{
        switch(a) 
        {
                case kInside:  return "Inside"; 
                case kOutside: return "Outside";
                case kSurface: return "Surface";
        }
        return "????";
}


/////////////////////////////////////////////////////////////////////////////
//
// Random unit direction vector

G4ThreeVector GetRandomUnitVector()
{
  G4double cosTheta, sinTheta, phi, vx, vy, vz;

  cosTheta = -1. + 2.*G4UniformRand();
  if( cosTheta > 1.)  cosTheta = 1.;
  if( cosTheta < -1.) cosTheta = -1.;
  sinTheta = std::sqrt( 1. - cosTheta*cosTheta );
  
  phi = 2*pi*G4UniformRand();

  vx = sinTheta*std::cos(phi);
  vy = sinTheta*std::sin(phi);
  vz = cosTheta;

  return G4ThreeVector(vx,vy,vz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random  vector around box surface 

G4ThreeVector GetVectorAroundBox( G4Box& box )
{
  G4double a, b, c, px, py, pz;
  G4double part = std::pow(2,1./3.);

  G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();

  a = part*box.GetXHalfLength();
  b = part*box.GetYHalfLength();
  c = part*box.GetZHalfLength();
  
  px = -a - 0.5*kCarTolerance + (2.*a + kCarTolerance)*G4UniformRand(); 
  py = -b - 0.5*kCarTolerance + (2.*b + kCarTolerance)*G4UniformRand(); 
  pz = -c - 0.5*kCarTolerance + (2.*c + kCarTolerance)*G4UniformRand();  

  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector on orb surface

G4ThreeVector GetVectorOnOrb(G4Orb& orb, G4ThreeVector& norm)
{
  G4double cosTheta, sinTheta, phi, radius, px, py, pz;

  radius = orb.GetRadius();
  // radius += -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();

  cosTheta = -1. + 2.*G4UniformRand();
  if( cosTheta > 1.)  cosTheta = 1.;
  if( cosTheta < -1.) cosTheta = -1.;
  sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

  phi = 2*pi*G4UniformRand();

  px = radius*sinTheta*std::cos(phi);
  py = radius*sinTheta*std::sin(phi);
  pz = radius*cosTheta;

  norm = G4ThreeVector( sinTheta*std::cos(phi), sinTheta*std::sin(phi), cosTheta);

  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector around orb surface

G4ThreeVector GetVectorAroundOrb(G4Orb& orb)
{
  G4double cosTheta, sinTheta, phi, radius, px, py, pz;

  radius = 4.*orb.GetRadius(); // 1.26
  radius *= G4UniformRand(); 

  cosTheta = -1. + 2.*G4UniformRand();
  if( cosTheta > 1.)  cosTheta = 1.;
  if( cosTheta < -1.) cosTheta = -1.;
  sinTheta = std::sqrt( 1. - cosTheta*cosTheta );
  
  phi = 2*pi*G4UniformRand();

  px   = radius*sinTheta*std::cos(phi);
  py   = radius*sinTheta*std::sin(phi);
  pz   = radius*cosTheta;

  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector on sphere surface

G4ThreeVector GetVectorOnSphere(G4Sphere& sphere)
{
  G4double cosTheta, sinTheta, phi, radius, px, py, pz;
  G4double part = 1./6.;
  G4double rand = G4UniformRand();

  G4double pRmin  = sphere.GetInsideRadius();
  G4double pRmax  = sphere.GetOuterRadius();
  G4double phi1   = sphere.GetStartPhiAngle();
  G4double phi2   = phi1 + sphere.GetDeltaPhiAngle();
  G4double theta1 = sphere.GetStartThetaAngle();
  G4double theta2 = theta1 + sphere.GetDeltaThetaAngle();

  G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();
  G4double kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();

  if      ( rand < part ) // Rmax
  {
    radius   = pRmax -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();

    cosTheta = std::cos(theta2+0.5*kAngTolerance) +
              (std::cos(theta1-0.5*kAngTolerance)-std::cos(theta2+0.5*kAngTolerance))*G4UniformRand();
    if( cosTheta > 1.)  cosTheta = 1.;
    if( cosTheta < -1.) cosTheta = -1.;
    sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

    phi      = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else if ( rand < 2*part )  // Rmin
  {
    radius   = pRmin -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();

    cosTheta = std::cos(theta2+0.5*kAngTolerance) +
              (std::cos(theta1-0.5*kAngTolerance)-std::cos(theta2+0.5*kAngTolerance))*G4UniformRand();
    if( cosTheta > 1.)  cosTheta = 1.;
    if( cosTheta < -1.) cosTheta = -1.;
    sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

    phi      = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else if ( rand < 3*part )  // phi1
 {
    radius   = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();


    cosTheta = std::cos(theta2+0.5*kAngTolerance) +
              (std::cos(theta1-0.5*kAngTolerance)-std::cos(theta2+0.5*kAngTolerance))*G4UniformRand();
    if( cosTheta > 1.)  cosTheta = 1.;
    if( cosTheta < -1.) cosTheta = -1.;
    sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

    phi      = phi1 -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
  }
  else if ( rand < 4*part )  // phi2
  {
    radius   = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();


    cosTheta = std::cos(theta2+0.5*kAngTolerance) +
              (std::cos(theta1-0.5*kAngTolerance)-std::cos(theta2+0.5*kAngTolerance))*G4UniformRand();
    if( cosTheta > 1.)  cosTheta = 1.;
    if( cosTheta < -1.) cosTheta = -1.;
    sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

    phi      = phi2 -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
  }
  else if ( rand < 5*part )  // theta1
 {
    radius   = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();


    cosTheta = std::cos(theta1+0.5*kAngTolerance) +
              (std::cos(theta1-0.5*kAngTolerance)-std::cos(theta1+0.5*kAngTolerance))*G4UniformRand();
    if( cosTheta > 1.)  cosTheta = 1.;
    if( cosTheta < -1.) cosTheta = -1.;
    sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

    phi      = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else // theta2
  {
    radius   = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();


    cosTheta = std::cos(theta2+0.5*kAngTolerance) +
              (std::cos(theta2-0.5*kAngTolerance)-std::cos(theta2+0.5*kAngTolerance))*G4UniformRand();
    if( cosTheta > 1.)  cosTheta = 1.;
    if( cosTheta < -1.) cosTheta = -1.;
    sinTheta = std::sqrt( 1. - cosTheta*cosTheta );

    phi      = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  px = radius*sinTheta*std::cos(phi);
  py = radius*sinTheta*std::sin(phi);
  pz = radius*cosTheta;

  return G4ThreeVector(px,py,pz);
}


/////////////////////////////////////////////////////////////////////////////
//
// Random vector around sphere surface

G4ThreeVector GetVectorAroundSphere(G4Sphere& sphere)
{
  G4double cosTheta, sinTheta, phi, radius, px, py, pz;

  // G4double pRmin  = sphere.GetInsideRadius();
  G4double pRmax  = 1.26*sphere.GetOuterRadius();
  // G4double phi1   = sphere.GetStartPhiAngle();
  // G4double phi2   = phi1 + sphere.GetDeltaPhiAngle();
  // G4double theta1 = sphere.GetStartThetaAngle();
  // G4double theta2 = theta1 + sphere.GetDeltaThetaAngle();


  radius   = pRmax*G4UniformRand(); 
  cosTheta = -1. + 2.*G4UniformRand();
  if( cosTheta > 1.)  cosTheta = 1.;
  if( cosTheta < -1.) cosTheta = -1.;
  sinTheta = std::sqrt( 1. - cosTheta*cosTheta );
  
  phi = 2*pi*G4UniformRand();

  px = radius*sinTheta*std::cos(phi);
  py = radius*sinTheta*std::sin(phi);
  pz = radius*cosTheta;

  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector on tubs surface

G4ThreeVector GetVectorOnTubs(G4Tubs& tubs)
{
  G4double phi, radius, px, py, pz;
  // G4double part = 1.;
  // G4double rand = G4UniformRand();

  // G4double pRmin = tubs.GetInnerRadius   ();
  G4double pRmax = tubs.GetOuterRadius   ();
  G4double tubsZ = 0.999*tubs.GetZHalfLength   ();
  // G4double phi1  = tubs.GetStartPhiAngle ();
  // G4double phi2  = phi1 + tubs.GetDeltaPhiAngle ();

  // G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();
  // G4double kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();

  // if      ( rand < part ) // Rmax
  {
    radius = pRmax; //  -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
    //  pz     = -tubsZ - 0.5*kCarTolerance + (2*tubsZ + kCarTolerance)*G4UniformRand();
    pz     = -tubsZ + 2*tubsZ*G4UniformRand();
    // phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
    phi = 2*pi*G4UniformRand();
  }
  /*
  else if ( rand < 2*part )  // Rmin
  {
    radius = pRmin -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
    pz     = -tubsZ - 0.5*kCarTolerance + (2*tubsZ + kCarTolerance)*G4UniformRand();
    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else if ( rand < 3*part )  // phi1
  {
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();
    pz     = -tubsZ - 0.5*kCarTolerance + (2*tubsZ + kCarTolerance)*G4UniformRand();
    phi    = phi1 -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
  }
  else if ( rand < 4*part )  // phi2
  {
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();
    pz     = -tubsZ - 0.5*kCarTolerance + (2*tubsZ + kCarTolerance)*G4UniformRand();
    phi    = phi2 -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
  }
  else if ( rand < 5*part )  // -fZ
  {
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();

    pz     = -tubsZ - 0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();

    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else // fZ
  {
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand();
    pz     = tubsZ - 0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  */
  px = radius*std::cos(phi);
  py = radius*std::sin(phi);

  return G4ThreeVector(px,py,pz);
}



/////////////////////////////////////////////////////////////////////////////
//
// Random vector around tubs surface

G4ThreeVector GetVectorAroundTubs(G4Tubs& tubs)
{
  G4double phi, radius, px, py, pz;
  G4double partR = 3.; // 1.26;
  G4double partZ = 1.; // 1.26;


  G4double pRmax = partR*tubs.GetOuterRadius   ();
  G4double tubsZ = 0.999*partZ*tubs.GetZHalfLength   ();

  // G4double pRmin = tubs.GetInnerRadius   ();
  // G4double phi1  = tubs.GetStartPhiAngle ();
  // G4double phi2  = phi1 + tubs.GetDeltaPhiAngle ();


  radius = pRmax*G4UniformRand(); 
  pz     = -tubsZ + 2*tubsZ*G4UniformRand(); 
  phi    = 2*pi*G4UniformRand();

  px = radius*std::cos(phi);
  py = radius*std::sin(phi);
  
  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector on cons surface

G4ThreeVector GetVectorOnCons(G4Cons& cons)
{
  // G4double pRmin, pRmax; 
  G4double phi, radius, px, py, pz;
  // G4double part = 1.;   // /6.;
  // G4double rand = G4UniformRand();

  // G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();
  // G4double kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();

  // G4double pRmin1 = cons.GetInnerRadiusMinusZ   ();
  G4double pRmax1 = cons.GetOuterRadiusMinusZ   ();
  // G4double pRmin2 = cons.GetInnerRadiusPlusZ   ();
  G4double pRmax2 = cons.GetOuterRadiusPlusZ   ();
  G4double consZ  = cons.GetZHalfLength   ();
  // G4double phi1   = cons.GetStartPhiAngle ();
  // G4double phi2   = phi1 + cons.GetDeltaPhiAngle ();

  // G4double tgMin  = 0.5*(pRmin2 - pRmin1)/consZ;
  G4double tgMax  = 0.5*(pRmax2 - pRmax1)/consZ;

  // consZ *= 0.999;

  G4double cof = 0.999;

  // if      ( rand < part ) // Rmax
  {
    pz     = -cof*consZ + 2*cof*consZ*G4UniformRand();
    radius =  pRmax1 + tgMax*( pz + consZ ); 

    // radius = pRmax; //  -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand(); 

    phi    = 2*pi*G4UniformRand();
  }
  /*  
  else if ( rand < 2*part )  // Rmin
  {
    pz     = -consZ - 0.5*kCarTolerance + (2*consZ + kCarTolerance)*G4UniformRand();   
    pRmin  = pRmin1 + tgMin*(pz+consZ); 
    radius = pRmin -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand(); 
    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else if ( rand < 3*part )  // phi1
  {
    pz     = -consZ - 0.5*kCarTolerance + (2*consZ + kCarTolerance)*G4UniformRand();   
    pRmax  = pRmax1 + tgMax*(pz+consZ); 
    pRmin  = pRmin1 + tgMin*(pz+consZ); 
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand(); 
    phi    = phi1 -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
  }
  else if ( rand < 4*part )  // phi2
  {
    pz     = -consZ - 0.5*kCarTolerance + (2*consZ + kCarTolerance)*G4UniformRand();   
    pRmax  = pRmax1 + tgMax*(pz+consZ); 
    pRmin  = pRmin1 + tgMin*(pz+consZ); 
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand(); 
    phi    = phi2 -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
  }
  else if ( rand < 5*part )  // -fZ
  {
    pz     = -consZ - 0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();   
    radius = pRmin1 - 0.5*kCarTolerance + (pRmax1-pRmin1+kCarTolerance)*G4UniformRand();   
    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else // fZ
  {
    pz     = consZ - 0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();     
    radius = pRmin2 - 0.5*kCarTolerance + (pRmax2-pRmin2+kCarTolerance)*G4UniformRand(); 
    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  */
  px = radius*std::cos(phi);
  py = radius*std::sin(phi);
  
  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector around cons surface

G4ThreeVector GetVectorAroundCons(G4Cons& cons)
{
  G4double phi, pRmax, radius, px, py, pz;
 
  // G4double rand = G4UniformRand();

  // G4double pRmin1 = cons.GetInnerRadiusMinusZ   ();
  G4double pRmax1 = cons.GetOuterRadiusMinusZ   ();
  // G4double pRmin2 = cons.GetInnerRadiusPlusZ   ();
  G4double pRmax2 = cons.GetOuterRadiusPlusZ   ();
  G4double consZ  = cons.GetZHalfLength   ();
  // G4double phi1   = cons.GetStartPhiAngle ();
  // G4double phi2   = phi1 + cons.GetDeltaPhiAngle ();
  // G4double tgMin  = (pRmin2 - pRmin1)/(2.*consZ);
  G4double tgMax  = (pRmax2 - pRmax1)/(2.*consZ);

  consZ *= 0.999;

  pz     = -consZ + 2*consZ*G4UniformRand();
  pRmax  = pRmax1 + tgMax*(pz+consZ);
  pRmax *= 3.; 
  radius = pRmax*G4UniformRand(); 
  phi    = twopi*G4UniformRand();

  px = radius*std::cos(phi);
  py = radius*std::sin(phi);
  
  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector on torus surface

G4ThreeVector GetVectorOnTorus(G4Torus& torus)
{
  G4double phi, alpha, radius, px, py, pz;
  // G4double part = 1./4.;
  // G4double rand = G4UniformRand();

  // G4double pRmin = torus.GetRmin();
  G4double pRmax = torus.GetRmax();
  G4double pRtor = torus.GetRtor();
  // G4double phi1  = torus.GetSPhi();
  // G4double phi2  = phi1 + torus.GetDPhi ();

  // G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();
  // G4double kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();

  // if      ( rand < part ) // Rmax
  {
    radius = pRmax; //  -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand();
    alpha = -halfpi + pi*G4UniformRand(); 
    phi    = pi*G4UniformRand();
  }
 /*
  else if ( rand < 2*part )  // Rmin
  {
    radius = pRmin -0.5*kCarTolerance + (kCarTolerance)*G4UniformRand(); 
    alpha = twopi*G4UniformRand(); 
    phi    = phi1 - 0.5*kAngTolerance + (phi2 - phi1 + kAngTolerance)*G4UniformRand();
  }
  else if ( rand < 3*part )  // phi1
  {
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand(); 
    alpha = twopi*G4UniformRand(); 
    //  pz     = -pRtor - 0.5*kCarTolerance + (2*pRtor + kCarTolerance)*G4UniformRand();   
    phi    = phi1 -0.5*kAngTolerance + (kAngTolerance)*G4UniformRand();
  }
  else   // phi2
  {
    radius = pRmin - 0.5*kCarTolerance + (pRmax-pRmin+kCarTolerance)*G4UniformRand(); 
    alpha = twopi*G4UniformRand(); 
    phi    = phi2 -0.5*kAngTolerance + (kAngTolerance)*G4UniformRand();
  }
 */
  px = (pRtor+radius*std::cos(alpha))*std::cos(phi);
  py = (pRtor+radius*std::cos(alpha))*std::sin(phi);
  pz = radius*std::sin(alpha);

  
  return G4ThreeVector(px,py,pz);
}

/////////////////////////////////////////////////////////////////////////////
//
// Random vector around torus surface

G4ThreeVector GetVectorAroundTorus(G4Torus& torus)
{
  G4double phi, alpha, radius, px, py, pz;

  G4double pRmax = torus.GetRmax();
  G4double pRtor = torus.GetRtor();


  radius = 3*pRmax*G4UniformRand(); 
  alpha  = -halfpi + pi*G4UniformRand(); 
  phi    = pi*G4UniformRand();

  pRtor *= 3*G4UniformRand();
  
  px = (pRtor+radius*std::cos(alpha))*std::cos(phi);
  py = (pRtor+radius*std::cos(alpha))*std::sin(phi);
  pz = radius*std::sin(alpha);

  
  return G4ThreeVector(px,py,pz);
}


enum Esolid {kBox, kOrb, kSphere, kCons, kTubs, kTorus, kPara, kTrapezoid, kTrd};


//////////////////////////////////////////////////////////////////////
//
// Main executable function

int main(int argc, char** argv)
{
  G4int test_one_solid( Esolid, int, int ); 

  G4int no_points      = 1000;
  G4int dirs_per_point = 10000; 

  G4cout << "Usage: testDistanceAccuracy [ no_surface_points ]  [ no_directions_each ] " 
         << G4endl << G4endl;

  G4int points_in = 0, dirs_in = 0;
 
  if( argc >= 2 )     points_in = atoi(argv[1]);  
  if( argc >= 3 )     dirs_in = atoi(argv[2]);
   

  if( points_in > 0 ) { no_points= points_in; } 
  if( dirs_in > 0 ) { dirs_per_point = dirs_in; }  

  G4cout << "Testing each solid with " << no_points << " surface points and " 
         << dirs_per_point  << " directions each. " << G4endl;

  Esolid useCase; 

  /*
  G4cout<< "To test Box." << G4endl;
  test_one_solid( useCase= kBox,  no_points, dirs_per_point ); 
     
  G4cout<< "To test Para." << G4endl;
  test_one_solid( useCase= kPara,  no_points, dirs_per_point ); 
 
  G4cout<< "To test Trapezoid." << G4endl;
  test_one_solid( useCase= kTrapezoid,  no_points, dirs_per_point ); 

  G4cout<< "To test Trd." << G4endl;
  test_one_solid( useCase= kTrd,  no_points, dirs_per_point ); 

  G4cout<< "To test Orb." << G4endl;
  test_one_solid( useCase= kOrb,  no_points, dirs_per_point ); 
  

  G4cout<< "To test Tubs." << G4endl;
  test_one_solid( useCase= kTubs,  no_points, dirs_per_point ); 
   
      
  G4cout<< "To test Cons." << G4endl;
  test_one_solid( useCase= kCons,  no_points, dirs_per_point ); 
  */   
  G4cout<< "To test Torus" << G4endl;
  test_one_solid( useCase= kTorus,  no_points, dirs_per_point ); 
 
  return 0; 
}

//

int test_one_solid ( Esolid useCase,  int num_points, int directions_per_point )
{
  G4int i,j;
  G4int iMax =  num_points, jMax = directions_per_point;
  G4int iCheck=iMax/10;

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

  jMax = 50;

  G4int iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0; 

  G4cout << "  Reporting every  " << iCheck <<  " points. " << G4endl; 

  G4double distIn, distOut, distCheck, dDist, position, dIn[50], dOut[50];

  for(j=0;j<jMax;j++)
  {
    dIn[j]  = 0.;
    dOut[j] = 0.;
  }

  EInside surfaceP, surfaceA;
  G4ThreeVector norm,*pNorm;
  G4bool *pgoodNorm, goodNorm, calcNorm=true;

  pNorm=&norm;
  pgoodNorm=&goodNorm;

  G4cout.precision(20);

  G4ThreeVector normP( 0., 0., 1.);

  // Boxes for test

  G4Box b1("Test Box #1",20,30,40);
  G4Box b2("Test Box #2",10,10,10);
  G4Box box3("BABAR Box",0.14999999999999999, 
                           24.707000000000001,  
                           22.699999999999999) ;

  // orbs for test

  G4Orb  o1("Solid G4Orb",50);
  G4Orb  o10("s10",0.018*mm);
  // G4Orb* solidO1= new G4Orb("O1", 2.7*cm);


  // spheres for test

  //  G4Sphere s5("Patch (phi/theta seg)",45,50,-pi/4,halfpi,pi/4,halfpi);
  //  G4Sphere s5("Patch (phi/theta seg)",45,50,-pi/4.,pi/4.,pi/4,pi/4.);
  G4Sphere s3("Patch (phi/theta seg)",45,50,0.,2*pi,pi/6,pi/2);

  G4Sphere s4("Patch (phi/theta seg)",45,50,pi/4.,pi/4.,0.,pi);

  G4Sphere s5("Patch (phi/theta seg)",45,50,-pi/4.,pi/4.,pi/2,pi/4.);

  G4Sphere s6("John example",300,500,0,5.76,0,pi) ; 
  G4Sphere s7("sphere7",1400.,1550.,0.022321428571428572,0.014642857142857141,
                          1.5631177553663251,0.014642857142857141    );
  G4Sphere s8("sphere",278.746*mm, 280.0*mm, 0.0*degree, 360.0*degree,
                                               0.0*degree, 90.0*degree);

  G4Sphere b216("b216", 1400.0, 1550.0, 
                  0.022321428571428572, 
                  0.014642857142857141,
                  1.578117755366325,
                  0.014642857142867141);

  G4Sphere s9("s9",0*mm,410*mm,0*degree,360*degree,90*degree,90*degree);

  G4Sphere b402("b402", 475*mm, 480*mm, 
               0*degree,360*degree,17.8*degree,144.4*degree);
   

  G4Sphere s10("s10",0*mm,0.018*mm,0*degree,360*degree,0*degree,180*degree);


  G4Sphere s11("s11",5000000.*mm,
                    3700000000.*mm,
                   0*degree,360*degree,0*degree,180*degree);


  G4Sphere sAlex("sAlex",500.*mm,
                    501.*mm,
                   0*degree,360*degree,0*degree,180*degree);

  G4Sphere sLHCB("sLHCB",8600*mm, 8606*mm, 
    -1.699135525184141*degree,
    3.398271050368263*degree,88.52855940538514*degree,2.942881189229715*degree );

  G4Sphere spAroundX("SpAroundX",  10.*mm, 1000.*mm, -1.0*degree, 
                                                     2.0*degree, 
                                        0.*degree, 180.0*degree );

  G4Sphere st = s3;


  // G4Tubs 

  G4Tubs t1("Solid tubs", 0.*mm, 50*mm, 50*mm, 0., twopi);

  G4Tubs t4("Hole Sector #4",45*mm,50*mm,50*mm,-halfpi,halfpi);





  G4Cons c1("Solid Cone", 0.*mm, 100.*mm, 0.*mm, 200.*mm, 50.*mm, 0., twopi);


  G4Cons c4("Hollow Cut Cone",50,100,50,200,50,-pi/6,pi/3);
  G4Cons c5("Hollow Cut Cone",25,50,75,150,50,0,3*halfpi);


  G4double Rtor = 100. ;
  G4double Rmax = Rtor*0.9 ;
  G4double Rmin = Rtor*0.1 ;

  G4Torus tor1("Soild Torus ",0.,Rmax,Rtor,0.,twopi);
    
  G4Torus torus1("torus1",10.,15.,20.,0.,3*halfpi);
  G4Torus tor2("Hole cutted Torus #2",Rmin,Rmax,Rtor,pi/4,halfpi);
  G4Torus torn2("tn2",Rmin,Rmax,Rtor,halfpi,halfpi);
  G4Torus torn3("tn3",Rmin,Rmax,Rtor,halfpi,3*halfpi);


  // Check of some use cases shown zero-zero problems

  G4ThreeVector pCheck, vCheck, v;

  // pCheck = G4ThreeVector( 41.418613476008794, -16.893662525384702, 4.9094423552800466 );
  // vCheck = G4ThreeVector( 0.34553222148699703, 0.91172822040596313, 0.22216916084289551 );
  // distIn  = s5.DistanceToIn(pCheck,vCheck);
  // distOut = s5.DistanceToOut(pCheck,vCheck,calcNorm,pgoodNorm,pNorm); 

  // pCheck = G4ThreeVector( 43.169180219772784, -11.564259048580507, 5.2621090605480623 ); 
  // surfaceP = s5.Inside(pCheck);

  pCheck = G4ThreeVector( -51.189087930597751, -17.382942686173514, -45.939946175080983 );
  vCheck = G4ThreeVector( 0.44410267104120671, -0.88563345532911941, -0.13574314117431641 );
  distIn  = c5.DistanceToIn(pCheck,vCheck);
  distOut = c5.DistanceToOut(pCheck,vCheck,calcNorm,pgoodNorm,pNorm); 

  pCheck = G4ThreeVector(-41.407491890396564, -31.155805955816909, -48.18046093035241 );
  vCheck = G4ThreeVector(0.79040557001853884, -0.52472467107317944, -0.31610608100891113 );
  distIn  = c5.DistanceToIn(pCheck,vCheck);
  distOut = c5.DistanceToOut(pCheck,vCheck,calcNorm,pgoodNorm,pNorm); 

  pCheck = G4ThreeVector(-66.68328490196707, -47.460245099793099, -18.151754141035401 );
  vCheck = G4ThreeVector(-0.066679791594195931, 0.88577693677046576, -0.45929622650146484 );
  distIn  = c5.DistanceToIn(pCheck,vCheck);
  distOut = c5.DistanceToOut(pCheck,vCheck,calcNorm,pgoodNorm,pNorm); 


#ifdef NDEBUG
    G4Exception("FAIL: *** Assertions must be compiled in! ***");
#endif

    std::ofstream foutDistIn("DistIn.dat", std::ios::out ) ;
    foutDistIn.setf( std::ios::scientific, std::ios::floatfield );

    std::ofstream foutDistOut("DistOut.dat", std::ios::out ) ;
    foutDistOut.setf( std::ios::scientific, std::ios::floatfield );

  
  // Check box tracking function 

  switch (useCase)
  {

    case kBox:

    G4cout<<"Testing G4Box:"<<G4endl<<G4endl;

    iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0;     

    for( i = 0; i < iMax; i++)
    {
      if(i%iCheck == 0) G4cout<<"i = "<<i<<G4endl;

      G4ThreeVector p = GetVectorAroundBox(b1);    
      surfaceP = b1.Inside(p);

      if(surfaceP != kSurface)
      {
        if(surfaceP == kOutside)
        {
          for( j = 0; j < jMax; j++ )
          {
            G4ThreeVector v = GetRandomUnitVector();

            distIn   = b1.DistanceToIn(p,v);

            if(distIn != kInfinity)
            {
              iIn++;
              
              surfaceP = b1.Inside(p + distIn*v);

              if(surfaceP != kSurface )
              {
                iInNoSurf++;
              // G4cout<<" distIn < kCarTolerance && distOut < kCarTolerance"<<G4endl;
              // G4cout<<"distIn = "<<distIn<<";  distOut = "<<distOut<<G4endl;
              // G4cout<<"location p: "; // << G4endl;
              // G4cout<<"( "<<p.x()<<", "<<p.y()<<", "<<p.z()<<" ); "<<G4endl;
              // G4cout<<" direction v: "; // << G4endl; 
              // G4cout<<"( "<<v.x()<<", "<<v.y()<<", "<<v.z()<<" ); "<<G4endl<<G4endl;
              }
            }
          }
        }
        else
        {
          for( j = 0; j < jMax; j++ )
          {
            iOut++;

            G4ThreeVector v = GetRandomUnitVector();
          
            distOut  = b1.DistanceToOut(p,v,calcNorm,pgoodNorm,pNorm); 
            surfaceP = b1.Inside(p + distOut*v);

            if(surfaceP != kSurface )
            {
              iOutNoSurf++;
              // G4cout<<" distIn < kCarTolerance && distOut < kCarTolerance"<<G4endl;
              // G4cout<<"distIn = "<<distIn<<";  distOut = "<<distOut<<G4endl;
              // G4cout<<"location p: "; // << G4endl;
              // G4cout<<"( "<<p.x()<<", "<<p.y()<<", "<<p.z()<<" ); "<<G4endl;
              // G4cout<<" direction v: "; // << G4endl; 
              // G4cout<<"( "<<v.x()<<", "<<v.y()<<", "<<v.z()<<" ); "<<G4endl<<G4endl;
            }
          }
        }
      }

    }
    G4cout<<"iIn = "<<iIn<<";     iOut = "<<iOut<<G4endl;
    G4cout<<"iInNoSurf = "<<iInNoSurf<<";    iOutNoSurf = "<<iOutNoSurf<<G4endl;

    
    break;
    
    case kOrb:

      G4cout<<"Testing G4Orb:"<<G4endl<<G4endl;

    iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0;     

    for( i = 0; i < iMax; i++)
    {
      if(i%iCheck == 0) G4cout<<"i = "<<i<<G4endl;

      G4ThreeVector pA = GetVectorAroundOrb(o1);    
      G4ThreeVector pS = GetVectorOnOrb(o1, normP);

      G4ThreeVector dP = pS - pA;

      if ( dP.mag2() > 0.) 
      {
        distCheck = dP.mag();
        vCheck = dP.unit();
        // G4cout<<"distCheck ="<< distCheck<<"; dP.unit() mag = "<<dP.mag()<<G4endl;
      }
      else continue;

      surfaceP = o1.Inside(pS);

      if( surfaceP == kSurface )
      {
        surfaceA = o1.Inside(pA);
        
        if( surfaceA == kOutside )
        {
          if ( dP.dot(pS) <= 0. )
          {
            iIn++;

            distIn   = o1.DistanceToIn(pA,vCheck);

            dDist = distIn - distCheck;

            // G4cout<<" distIn = "<<distIn<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

            dDist *= 10./kRadTolerance;

            for( j = 0; j < jMax; j++ )
            {
              position = -25. + j; 
              if ( dDist < position ) 
              {
                dIn[j] += 1.;
                break;
              }
              else continue;
            }
            if ( j == jMax ) dIn[jMax-1] += 1.;
            if ( j == jMax ||  j == 0 )
            {
              // G4cout<<"distIn    = "<<distIn<<"; dDist = "<<dDist<<G4endl;
              // G4cout<<"distCheck = "<<distCheck<<"; vCheck.dot( pS.unit() )  = "
              //       <<vCheck.dot( pS.unit() )<<G4endl;
            }
          }
          else continue;
        }
        else
        {
          iOut++;
          
          distOut  = o1.DistanceToOut(pA,vCheck,calcNorm,pgoodNorm,pNorm); 
         
          dDist = distOut - distCheck;

          // G4cout<<" distOut = "<<distOut<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

          dDist *= 10./kRadTolerance;

          for( j = 0; j < jMax; j++ )
          {
            position = -25. + j; 
            if ( dDist < position ) 
            {
              dOut[j] += 1.;
              break;
            }
            else continue;
          }     
          if ( j == jMax) dOut[jMax-1] += 1.;
        }
      }
      else
      {
        G4cout<<"pS is out of orb surface: "<<pS.x()<<"\t"<<pS.y()<<"\t"<<pS.z()<<G4endl;
      }
    }
    G4cout<<"iIn = "<<iIn<<";     iOut = "<<iOut<<G4endl;
    G4cout<<"iInNoSurf = "<<iInNoSurf<<";    iOutNoSurf = "<<iOutNoSurf<<G4endl<<G4endl;

    G4cout<<"iIn = "<<iIn<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dIn[j]<<G4endl;      
      foutDistIn<<position<<"\t"<<dIn[j]<<G4endl;      
    } 
    G4cout<<G4endl;
    G4cout<<"iOut = "<<iOut<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dOut[j]<<G4endl;      
      foutDistOut<<position<<"\t"<<dOut[j]<<G4endl;      
    }

    break;

    case kSphere:

      G4cout<<"Testing one cutted G4Sphere:" << s5 <<G4endl<<G4endl;

    iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0;     

    for( i = 0; i < iMax; i++)
    {
      if(i%iCheck == 0) G4cout<<"i = "<<i<<G4endl;

      G4ThreeVector p = GetVectorAroundSphere(st);    
      surfaceP = st.Inside(p);

      if(surfaceP != kSurface)
      {
        if(surfaceP == kOutside)
        {
          for( j = 0; j < jMax; j++ )
          {
            G4ThreeVector v = GetRandomUnitVector();

            distIn   = st.DistanceToIn(p,v);

            if(distIn != kInfinity)
            {
              iIn++;
              
              surfaceP = st.Inside(p + distIn*v);

              if(surfaceP != kSurface )
              {
                iInNoSurf++;
              // G4cout<<" distIn < kCarTolerance && distOut < kCarTolerance"<<G4endl;
              // G4cout<<"distIn = "<<distIn<<";  distOut = "<<distOut<<G4endl;
              // G4cout<<"location p: "; // << G4endl;
              // G4cout<<"( "<<p.x()<<", "<<p.y()<<", "<<p.z()<<" ); "<<G4endl;
              // G4cout<<" direction v: "; // << G4endl; 
              // G4cout<<"( "<<v.x()<<", "<<v.y()<<", "<<v.z()<<" ); "<<G4endl<<G4endl;
              }
            }
          }
        }
        else
        {
          for( j = 0; j < jMax; j++ )
          {
            iOut++;

            G4ThreeVector v = GetRandomUnitVector();
          
            distOut  = st.DistanceToOut(p,v,calcNorm,pgoodNorm,pNorm); 
            surfaceP = st.Inside(p + distOut*v);

            if(surfaceP != kSurface )
            {
              iOutNoSurf++;
              // G4cout<<" distIn < kCarTolerance && distOut < kCarTolerance"<<G4endl;
              // G4cout<<"distIn = "<<distIn<<";  distOut = "<<distOut<<G4endl;
              // G4cout<<"location p: "; // << G4endl;
              // G4cout<<"( "<<p.x()<<", "<<p.y()<<", "<<p.z()<<" ); "<<G4endl;
              // G4cout<<" direction v: "; // << G4endl; 
              // G4cout<<"( "<<v.x()<<", "<<v.y()<<", "<<v.z()<<" ); "<<G4endl<<G4endl;
            }
          }
        }
      }

    }
    G4cout<<"iIn = "<<iIn<<";     iOut = "<<iOut<<G4endl;
    G4cout<<"iInNoSurf = "<<iInNoSurf<<";    iOutNoSurf = "<<iOutNoSurf<<G4endl;


    break;

    case kTubs:

    G4cout<<"Testing G4Tubs:"<<G4endl<<G4endl;

    iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0;     

    for( i = 0; i < iMax; i++)
    {
      if(i%iCheck == 0) G4cout<<"i = "<<i<<G4endl;

      G4ThreeVector pA = GetVectorAroundTubs(t1);    
      G4ThreeVector pS = GetVectorOnTubs(t1); // , normP);

      G4ThreeVector dP = pS - pA;

      if ( dP.mag2() > 0.) 
      {
        distCheck = dP.mag();
        vCheck = dP.unit();
        // G4cout<<"distCheck ="<< distCheck<<"; dP.unit() mag = "<<dP.mag()<<G4endl;
      }
      else continue;

      surfaceP = t1.Inside(pS);

      if( surfaceP == kSurface )
      {
        surfaceA = t1.Inside(pA);
        
        if( surfaceA == kOutside )
        {
          norm = t1.SurfaceNormal(pS);

          if ( dP.dot(norm) < 0. )  // may be < strictly?
          {
            iIn++;

            distIn   = t1.DistanceToIn(pA,vCheck);

            dDist = distIn - distCheck;

            // G4cout<<" distIn = "<<distIn<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

            dDist *= 10./kRadTolerance;

            for( j = 0; j < jMax; j++ )
            {
              position = -25. + j; 
              if ( dDist < position ) 
              {
                dIn[j] += 1.;
                break;
              }
              else continue;
            }
            if ( j == jMax ) dIn[jMax-1] += 1.;
            if ( j == jMax ||  j == 0 )
            {
              // G4cout<<"distIn    = "<<distIn<<"; dDist = "<<dDist<<G4endl;
              // G4cout<<"distCheck = "<<distCheck<<"; vCheck.dot( pS.unit() )  = "
              //       <<vCheck.dot( pS.unit() )<<G4endl;
            }
          }
          else continue;
        }
        else
        {
          iOut++;
          
          distOut  = t1.DistanceToOut(pA,vCheck,calcNorm,pgoodNorm,pNorm); 
         
          dDist = distOut - distCheck;

          // G4cout<<" distOut = "<<distOut<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

          dDist *= 10./kRadTolerance;

          for( j = 0; j < jMax; j++ )
          {
            position = -25. + j; 
            if ( dDist < position ) 
            {
              dOut[j] += 1.;
              break;
            }
            else continue;
          }     
          if ( j == jMax) dOut[jMax-1] += 1.;
        }
      }
      else
      {
        G4cout<<"pS is out of tubs surface: "<<pS.x()<<"\t"<<pS.y()<<"\t"<<pS.z()<<G4endl;
      }
    }
    G4cout<<"iIn = "<<iIn<<";     iOut = "<<iOut<<G4endl;
    G4cout<<"iInNoSurf = "<<iInNoSurf<<";    iOutNoSurf = "<<iOutNoSurf<<G4endl<<G4endl;

    G4cout<<"iIn = "<<iIn<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dIn[j]<<G4endl;      
      foutDistIn<<position<<"\t"<<dIn[j]<<G4endl;      
    } 
    G4cout<<G4endl;
    G4cout<<"iOut = "<<iOut<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dOut[j]<<G4endl;      
      foutDistOut<<position<<"\t"<<dOut[j]<<G4endl;      
    }

    break;

    case kCons:

      G4cout<<"Testing  G4Cons:"<<G4endl<<G4endl;


    iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0;     

    for( i = 0; i < iMax; i++)
    {
      if(i%iCheck == 0) G4cout<<"i = "<<i<<G4endl;

      G4ThreeVector pA = GetVectorAroundCons(c1);    
      G4ThreeVector pS = GetVectorOnCons(c1); // , normP);

      G4ThreeVector dP = pS - pA;

      if ( dP.mag2() > 0.) 
      {
        distCheck = dP.mag();
        vCheck = dP.unit();
        // G4cout<<"distCheck ="<< distCheck<<"; dP.unit() mag = "<<dP.mag()<<G4endl;
      }
      else continue;

      surfaceP = c1.Inside(pS);

      if( surfaceP == kSurface )
      {
        surfaceA = c1.Inside(pA);
        
        if( surfaceA == kOutside )
        {
          norm = c1.SurfaceNormal(pS);

          if ( dP.dot(norm) < 0. )  // may be < strictly?
          {
            iIn++;

            distIn   = c1.DistanceToIn(pA,vCheck);

            dDist = distIn - distCheck;

            // G4cout<<" distIn = "<<distIn<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

            dDist *= 10./kRadTolerance;

            for( j = 0; j < jMax; j++ )
            {
              position = -25. + j; 
              if ( dDist < position ) 
              {
                dIn[j] += 1.;
                break;
              }
              else continue;
            }
            if ( j == jMax ) dIn[jMax-1] += 1.;
            if ( j == jMax ||  j == 0 )
            {
              // G4cout<<"distIn    = "<<distIn<<"; dDist = "<<dDist<<G4endl;
              // G4cout<<"distCheck = "<<distCheck<<"; vCheck.dot( pS.unit() )  = "
              //       <<vCheck.dot( pS.unit() )<<G4endl;
            }
          }
          else continue;
        }
        else
        {
          iOut++;
          
          distOut  = c1.DistanceToOut(pA,vCheck,calcNorm,pgoodNorm,pNorm); 
         
          dDist = distOut - distCheck;

          // G4cout<<" distOut = "<<distOut<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

          dDist *= 10./kRadTolerance;

          for( j = 0; j < jMax; j++ )
          {
            position = -25. + j; 
            if ( dDist < position ) 
            {
              dOut[j] += 1.;
              break;
            }
            else continue;
          }     
          if ( j == jMax) dOut[jMax-1] += 1.;
        }
      }
      else
      {
        // G4cout<<"pS is out of cons surface: "<<pS.x()<<"\t"<<pS.y()<<"\t"<<pS.z()<<G4endl;
      }
    }
    G4cout<<"iIn = "<<iIn<<";     iOut = "<<iOut<<G4endl;
    G4cout<<"iInNoSurf = "<<iInNoSurf<<";    iOutNoSurf = "<<iOutNoSurf<<G4endl<<G4endl;

    G4cout<<"iIn = "<<iIn<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dIn[j]<<G4endl;      
      foutDistIn<<position<<"\t"<<dIn[j]<<G4endl;      
    } 
    G4cout<<G4endl;
    G4cout<<"iOut = "<<iOut<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dOut[j]<<G4endl;      
      foutDistOut<<position<<"\t"<<dOut[j]<<G4endl;      
    }

    break;

    case kTorus:

    G4cout<<"Testing all cutted G4Torus:"<<G4endl<<G4endl;



    iInNoSurf = 0, iOutNoSurf = 0, iIn = 0, iOut = 0;     

    for( i = 0; i < iMax; i++)
    {
      if(i%iCheck == 0) G4cout<<"i = "<<i<<G4endl;

      G4ThreeVector pA = GetVectorAroundTorus(tor1);    
      G4ThreeVector pS = GetVectorOnTorus(tor1); // , normP);

      G4ThreeVector dP = pS - pA;

      if ( dP.mag2() > 0.) 
      {
        distCheck = dP.mag();
        vCheck = dP.unit();
        // G4cout<<"distCheck ="<< distCheck<<"; dP.unit() mag = "<<dP.mag()<<G4endl;
      }
      else continue;

      surfaceP = tor1.Inside(pS);

      if( surfaceP == kSurface )
      {
        surfaceA = tor1.Inside(pA);
        
        if( surfaceA == kOutside )
        {
          norm = tor1.SurfaceNormal(pS);

          if ( dP.dot(norm) < 0. )  // may be < strictly?
          {
            iIn++;

            distIn   = tor1.DistanceToIn(pA,vCheck);

            dDist = distIn - distCheck;

            // G4cout<<" distIn = "<<distIn<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

            dDist *= 10./kRadTolerance;

            for( j = 0; j < jMax; j++ )
            {
              position = -25. + j; 
              if ( dDist < position ) 
              {
                dIn[j] += 1.;
                break;
              }
              else continue;
            }
            if ( j == jMax ) dIn[jMax-1] += 1.;
            if ( j == jMax ||  j == 0 )
            {
              // G4cout<<"distIn    = "<<distIn<<"; dDist = "<<dDist<<G4endl;
              // G4cout<<"distCheck = "<<distCheck<<"; vCheck.dot( pS.unit() )  = "
              //       <<vCheck.dot( pS.unit() )<<G4endl;
            }
          }
          else continue;
        }
        else
        {
          iOut++;
          
          distOut  = tor1.DistanceToOut(pA,vCheck,calcNorm,pgoodNorm,pNorm); 
         
          dDist = distOut - distCheck;

          // G4cout<<" distOut = "<<distOut<<"; distCheck = "<<distCheck<<"; dDist = "<<dDist<<G4endl;

          dDist *= 10./kRadTolerance;

          for( j = 0; j < jMax; j++ )
          {
            position = -25. + j; 
            if ( dDist < position ) 
            {
              dOut[j] += 1.;
              break;
            }
            else continue;
          }     
          if ( j == jMax) dOut[jMax-1] += 1.;
        }
      }
      else
      {
        // G4cout<<"pS is out of cons surface: "<<pS.x()<<"\t"<<pS.y()<<"\t"<<pS.z()<<G4endl;
      }
    }
    G4cout<<"iIn = "<<iIn<<";     iOut = "<<iOut<<G4endl;
    G4cout<<"iInNoSurf = "<<iInNoSurf<<";    iOutNoSurf = "<<iOutNoSurf<<G4endl<<G4endl;

    G4cout<<"iIn = "<<iIn<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dIn[j]<<G4endl;      
      foutDistIn<<position<<"\t"<<dIn[j]<<G4endl;      
    } 
    G4cout<<G4endl;
    G4cout<<"iOut = "<<iOut<<G4endl<<G4endl;
    for( j = 0; j < jMax; j++ )
    {
      position = -25. + j; 
      G4cout<<position<<"\t"<<dOut[j]<<G4endl;      
      foutDistOut<<position<<"\t"<<dOut[j]<<G4endl;      
    }

    break;

    default:
      G4cout<<"A test is not implemented for this case: " << useCase <<G4endl<<G4endl;

    break;   
  }
  return 0;
}