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geant4/source/geometry/solids/specific/src/G4ExtrudedSolid.cc
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2019-12-06 15:12:28 +01:00

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//
// G4ExtrudedSolid implementation
//
// Author: Ivana Hrivnacova, IPN Orsay
//
// CHANGE HISTORY
// --------------
//
// 31.10.2017 E.Tcherniaev: added implementation for a non-convex
// right prism
// 08.09.2017 E.Tcherniaev: added implementation for a convex
// right prism
// 21.10.2016 E.Tcherniaev: reimplemented CalculateExtent(),
// used G4GeomTools::PolygonArea() to calculate area,
// replaced IsConvex() with G4GeomTools::IsConvex()
// 02.03.2016 E.Tcherniaev: added CheckPolygon() to remove
// collinear and coincident points from polygon
// --------------------------------------------------------------------
#include "G4ExtrudedSolid.hh"
#if !defined(G4GEOM_USE_UEXTRUDEDSOLID)
#include <set>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include "G4GeomTools.hh"
#include "G4VoxelLimits.hh"
#include "G4AffineTransform.hh"
#include "G4BoundingEnvelope.hh"
#include "G4GeometryTolerance.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4TriangularFacet.hh"
#include "G4QuadrangularFacet.hh"
//_____________________________________________________________________________
G4ExtrudedSolid::G4ExtrudedSolid( const G4String& pName,
const std::vector<G4TwoVector>& polygon,
const std::vector<ZSection>& zsections)
: G4TessellatedSolid(pName),
fNv(polygon.size()),
fNz(zsections.size()),
fIsConvex(false),
fGeometryType("G4ExtrudedSolid"),
fSolidType(0)
{
// General constructor
// First check input parameters
if (fNv < 3)
{
std::ostringstream message;
message << "Number of vertices in polygon < 3 - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0002",
FatalErrorInArgument, message);
}
if (fNz < 2)
{
std::ostringstream message;
message << "Number of z-sides < 2 - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0002",
FatalErrorInArgument, message);
}
for ( G4int i=0; i<fNz-1; ++i )
{
if ( zsections[i].fZ > zsections[i+1].fZ )
{
std::ostringstream message;
message << "Z-sections have to be ordered by z value (z0 < z1 < z2...) - "
<< pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0002",
FatalErrorInArgument, message);
}
if ( std::fabs( zsections[i+1].fZ - zsections[i].fZ ) < kCarToleranceHalf )
{
std::ostringstream message;
message << "Z-sections with the same z position are not supported - "
<< pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0001",
FatalException, message);
}
}
// Copy polygon
//
fPolygon = polygon;
// Remove collinear and coincident vertices, if any
//
std::vector<G4int> removedVertices;
G4GeomTools::RemoveRedundantVertices(fPolygon,removedVertices,
2*kCarTolerance);
if (removedVertices.size() != 0)
{
G4int nremoved = removedVertices.size();
std::ostringstream message;
message << "The following "<< nremoved
<< " vertices have been removed from polygon in " << pName
<< "\nas collinear or coincident with other vertices: "
<< removedVertices[0];
for (G4int i=1; i<nremoved; ++i) message << ", " << removedVertices[i];
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids1001",
JustWarning, message);
}
fNv = fPolygon.size();
if (fNv < 3)
{
std::ostringstream message;
message << "Number of vertices in polygon after removal < 3 - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0002",
FatalErrorInArgument, message);
}
// Check if polygon vertices are defined clockwise
// (the area is positive if polygon vertices are defined anti-clockwise)
//
if (G4GeomTools::PolygonArea(fPolygon) > 0.)
{
// Polygon vertices are defined anti-clockwise, we revert them
// G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids1001",
// JustWarning,
// "Polygon vertices defined anti-clockwise, reverting polygon");
std::reverse(fPolygon.begin(),fPolygon.end());
}
// Copy z-sections
//
fZSections = zsections;
G4bool result = MakeFacets();
if (!result)
{
std::ostringstream message;
message << "Making facets failed - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0003",
FatalException, message);
}
fIsConvex = G4GeomTools::IsConvex(fPolygon);
ComputeProjectionParameters();
// Check if the solid is a right prism, if so then set lateral planes
//
if ((fNz == 2)
&& (fZSections[0].fScale == 1) && (fZSections[1].fScale == 1)
&& (fZSections[0].fOffset == G4TwoVector(0,0))
&& (fZSections[1].fOffset == G4TwoVector(0,0)))
{
fSolidType = (fIsConvex) ? 1 : 2; // 1 - convex, 2 - non-convex right prism
ComputeLateralPlanes();
}
}
//_____________________________________________________________________________
G4ExtrudedSolid::G4ExtrudedSolid( const G4String& pName,
const std::vector<G4TwoVector>& polygon,
G4double dz,
const G4TwoVector& off1, G4double scale1,
const G4TwoVector& off2, G4double scale2 )
: G4TessellatedSolid(pName),
fNv(polygon.size()),
fNz(2),
fGeometryType("G4ExtrudedSolid")
{
// Special constructor for solid with 2 z-sections
// First check input parameters
//
if (fNv < 3)
{
std::ostringstream message;
message << "Number of vertices in polygon < 3 - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0002",
FatalErrorInArgument, message);
}
// Copy polygon
//
fPolygon = polygon;
// Remove collinear and coincident vertices, if any
//
std::vector<G4int> removedVertices;
G4GeomTools::RemoveRedundantVertices(fPolygon,removedVertices,
2*kCarTolerance);
if (removedVertices.size() != 0)
{
G4int nremoved = removedVertices.size();
std::ostringstream message;
message << "The following "<< nremoved
<< " vertices have been removed from polygon in " << pName
<< "\nas collinear or coincident with other vertices: "
<< removedVertices[0];
for (G4int i=1; i<nremoved; ++i) message << ", " << removedVertices[i];
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids1001",
JustWarning, message);
}
fNv = fPolygon.size();
if (fNv < 3)
{
std::ostringstream message;
message << "Number of vertices in polygon after removal < 3 - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0002",
FatalErrorInArgument, message);
}
// Check if polygon vertices are defined clockwise
// (the area is positive if polygon vertices are defined anti-clockwise)
//
if (G4GeomTools::PolygonArea(fPolygon) > 0.)
{
// Polygon vertices are defined anti-clockwise, we revert them
// G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids1001",
// JustWarning,
// "Polygon vertices defined anti-clockwise, reverting polygon");
std::reverse(fPolygon.begin(),fPolygon.end());
}
// Copy z-sections
//
fZSections.push_back(ZSection(-dz, off1, scale1));
fZSections.push_back(ZSection( dz, off2, scale2));
G4bool result = MakeFacets();
if (!result)
{
std::ostringstream message;
message << "Making facets failed - " << pName;
G4Exception("G4ExtrudedSolid::G4ExtrudedSolid()", "GeomSolids0003",
FatalException, message);
}
fIsConvex = G4GeomTools::IsConvex(fPolygon);
ComputeProjectionParameters();
// Check if the solid is a right prism, if so then set lateral planes
//
if ((scale1 == 1) && (scale2 == 1)
&& (off1 == G4TwoVector(0,0)) && (off2 == G4TwoVector(0,0)))
{
fSolidType = (fIsConvex) ? 1 : 2; // 1 - convex, 2 - non-convex right prism
ComputeLateralPlanes();
}
}
//_____________________________________________________________________________
G4ExtrudedSolid::G4ExtrudedSolid( __void__& a )
: G4TessellatedSolid(a), fNv(0), fNz(0),
fGeometryType("G4ExtrudedSolid")
{
// Fake default constructor - sets only member data and allocates memory
// for usage restricted to object persistency.
}
//_____________________________________________________________________________
G4ExtrudedSolid::G4ExtrudedSolid(const G4ExtrudedSolid& rhs)
: G4TessellatedSolid(rhs), fNv(rhs.fNv), fNz(rhs.fNz),
fPolygon(rhs.fPolygon), fZSections(rhs.fZSections),
fTriangles(rhs.fTriangles), fIsConvex(rhs.fIsConvex),
fGeometryType(rhs.fGeometryType),
fSolidType(rhs.fSolidType), fPlanes(rhs.fPlanes),
fLines(rhs.fLines), fLengths(rhs.fLengths),
fKScales(rhs.fKScales), fScale0s(rhs.fScale0s),
fKOffsets(rhs.fKOffsets), fOffset0s(rhs.fOffset0s)
{
}
//_____________________________________________________________________________
G4ExtrudedSolid& G4ExtrudedSolid::operator = (const G4ExtrudedSolid& rhs)
{
// Check assignment to self
//
if (this == &rhs) { return *this; }
// Copy base class data
//
G4TessellatedSolid::operator=(rhs);
// Copy data
//
fNv = rhs.fNv; fNz = rhs.fNz;
fPolygon = rhs.fPolygon; fZSections = rhs.fZSections;
fTriangles = rhs.fTriangles; fIsConvex = rhs.fIsConvex;
fGeometryType = rhs.fGeometryType;
fSolidType = rhs.fSolidType; fPlanes = rhs.fPlanes;
fLines = rhs.fLines; fLengths = rhs.fLengths;
fKScales = rhs.fKScales; fScale0s = rhs.fScale0s;
fKOffsets = rhs.fKOffsets; fOffset0s = rhs.fOffset0s;
return *this;
}
//_____________________________________________________________________________
G4ExtrudedSolid::~G4ExtrudedSolid()
{
// Destructor
}
//_____________________________________________________________________________
void G4ExtrudedSolid::ComputeProjectionParameters()
{
// Compute parameters for point projections p(z)
// to the polygon scale & offset:
// scale(z) = k*z + scale0
// offset(z) = l*z + offset0
// p(z) = scale(z)*p0 + offset(z)
// p0 = (p(z) - offset(z))/scale(z);
//
for ( G4int iz=0; iz<fNz-1; ++iz)
{
G4double z1 = fZSections[iz].fZ;
G4double z2 = fZSections[iz+1].fZ;
G4double scale1 = fZSections[iz].fScale;
G4double scale2 = fZSections[iz+1].fScale;
G4TwoVector off1 = fZSections[iz].fOffset;
G4TwoVector off2 = fZSections[iz+1].fOffset;
G4double kscale = (scale2 - scale1)/(z2 - z1);
G4double scale0 = scale2 - kscale*(z2 - z1)/2.0;
G4TwoVector koff = (off2 - off1)/(z2 - z1);
G4TwoVector off0 = off2 - koff*(z2 - z1)/2.0;
fKScales.push_back(kscale);
fScale0s.push_back(scale0);
fKOffsets.push_back(koff);
fOffset0s.push_back(off0);
}
}
//_____________________________________________________________________________
void G4ExtrudedSolid::ComputeLateralPlanes()
{
// Compute lateral planes: a*x + b*y + c*z + d = 0
//
G4int Nv = fPolygon.size();
fPlanes.resize(Nv);
for (G4int i=0, k=Nv-1; i<Nv; k=i++)
{
G4TwoVector norm = (fPolygon[i] - fPolygon[k]).unit();
fPlanes[i].a = -norm.y();
fPlanes[i].b = norm.x();
fPlanes[i].c = 0;
fPlanes[i].d = norm.y()*fPolygon[i].x() - norm.x()*fPolygon[i].y();
}
// Compute edge equations: x = k*y + m
// and edge lengths
//
fLines.resize(Nv);
fLengths.resize(Nv);
for (G4int i=0, k=Nv-1; i<Nv; k=i++)
{
if (fPolygon[k].y() == fPolygon[i].y())
{
fLines[i].k = 0;
fLines[i].m = fPolygon[i].x();
}
else
{
G4double ctg = (fPolygon[k].x()-fPolygon[i].x())/(fPolygon[k].y()-fPolygon[i].y());
fLines[i].k = ctg;
fLines[i].m = fPolygon[i].x() - ctg*fPolygon[i].y();
}
fLengths[i] = (fPolygon[i] - fPolygon[k]).mag();
}
}
//_____________________________________________________________________________
G4ThreeVector G4ExtrudedSolid::GetVertex(G4int iz, G4int ind) const
{
// Shift and scale vertices
return G4ThreeVector( fPolygon[ind].x() * fZSections[iz].fScale
+ fZSections[iz].fOffset.x(),
fPolygon[ind].y() * fZSections[iz].fScale
+ fZSections[iz].fOffset.y(), fZSections[iz].fZ);
}
//_____________________________________________________________________________
G4TwoVector G4ExtrudedSolid::ProjectPoint(const G4ThreeVector& point) const
{
// Project point in the polygon scale
// scale(z) = k*z + scale0
// offset(z) = l*z + offset0
// p(z) = scale(z)*p0 + offset(z)
// p0 = (p(z) - offset(z))/scale(z);
// Select projection (z-segment of the solid) according to p.z()
//
G4int iz = 0;
while ( point.z() > fZSections[iz+1].fZ && iz < fNz-2 ) { ++iz; }
// Loop checking, 13.08.2015, G.Cosmo
G4double z0 = ( fZSections[iz+1].fZ + fZSections[iz].fZ )/2.0;
G4TwoVector p2(point.x(), point.y());
G4double pscale = fKScales[iz]*(point.z()-z0) + fScale0s[iz];
G4TwoVector poffset = fKOffsets[iz]*(point.z()-z0) + fOffset0s[iz];
// G4cout << point << " projected to "
// << iz << "-th z-segment polygon as "
// << (p2 - poffset)/pscale << G4endl;
// pscale is always >0 as it is an interpolation between two
// positive scale values
//
return (p2 - poffset)/pscale;
}
//_____________________________________________________________________________
G4bool G4ExtrudedSolid::IsSameLine(const G4TwoVector& p,
const G4TwoVector& l1,
const G4TwoVector& l2) const
{
// Return true if p is on the line through l1, l2
if ( l1.x() == l2.x() )
{
return std::fabs(p.x() - l1.x()) < kCarToleranceHalf;
}
G4double slope= ((l2.y() - l1.y())/(l2.x() - l1.x()));
G4double predy= l1.y() + slope *(p.x() - l1.x());
G4double dy= p.y() - predy;
// Calculate perpendicular distance
//
// G4double perpD= std::fabs(dy) / std::sqrt( 1 + slope * slope );
// G4bool simpleComp= (perpD<kCarToleranceHalf);
// Check perpendicular distance vs tolerance 'directly'
//
G4bool squareComp = (dy*dy < (1+slope*slope)
* kCarToleranceHalf * kCarToleranceHalf);
// return simpleComp;
return squareComp;
}
//_____________________________________________________________________________
G4bool G4ExtrudedSolid::IsSameLineSegment(const G4TwoVector& p,
const G4TwoVector& l1,
const G4TwoVector& l2) const
{
// Return true if p is on the line through l1, l2 and lies between
// l1 and l2
if ( p.x() < std::min(l1.x(), l2.x()) - kCarToleranceHalf ||
p.x() > std::max(l1.x(), l2.x()) + kCarToleranceHalf ||
p.y() < std::min(l1.y(), l2.y()) - kCarToleranceHalf ||
p.y() > std::max(l1.y(), l2.y()) + kCarToleranceHalf )
{
return false;
}
return IsSameLine(p, l1, l2);
}
//_____________________________________________________________________________
G4bool G4ExtrudedSolid::IsSameSide(const G4TwoVector& p1,
const G4TwoVector& p2,
const G4TwoVector& l1,
const G4TwoVector& l2) const
{
// Return true if p1 and p2 are on the same side of the line through l1, l2
return ( (p1.x() - l1.x()) * (l2.y() - l1.y())
- (l2.x() - l1.x()) * (p1.y() - l1.y()) )
* ( (p2.x() - l1.x()) * (l2.y() - l1.y())
- (l2.x() - l1.x()) * (p2.y() - l1.y()) ) > 0;
}
//_____________________________________________________________________________
G4bool G4ExtrudedSolid::IsPointInside(const G4TwoVector& a,
const G4TwoVector& b,
const G4TwoVector& c,
const G4TwoVector& p) const
{
// Return true if p is inside of triangle abc or on its edges,
// else returns false
// Check extent first
//
if ( ( p.x() < a.x() && p.x() < b.x() && p.x() < c.x() ) ||
( p.x() > a.x() && p.x() > b.x() && p.x() > c.x() ) ||
( p.y() < a.y() && p.y() < b.y() && p.y() < c.y() ) ||
( p.y() > a.y() && p.y() > b.y() && p.y() > c.y() ) ) return false;
G4bool inside
= IsSameSide(p, a, b, c)
&& IsSameSide(p, b, a, c)
&& IsSameSide(p, c, a, b);
G4bool onEdge
= IsSameLineSegment(p, a, b)
|| IsSameLineSegment(p, b, c)
|| IsSameLineSegment(p, c, a);
return inside || onEdge;
}
//_____________________________________________________________________________
G4double
G4ExtrudedSolid::GetAngle(const G4TwoVector& po,
const G4TwoVector& pa,
const G4TwoVector& pb) const
{
// Return the angle of the vertex in po
G4TwoVector t1 = pa - po;
G4TwoVector t2 = pb - po;
G4double result = (std::atan2(t1.y(), t1.x()) - std::atan2(t2.y(), t2.x()));
if ( result < 0 ) result += 2*pi;
return result;
}
//_____________________________________________________________________________
G4VFacet*
G4ExtrudedSolid::MakeDownFacet(G4int ind1, G4int ind2, G4int ind3) const
{
// Create a triangular facet from the polygon points given by indices
// forming the down side ( the normal goes in -z)
std::vector<G4ThreeVector> vertices;
vertices.push_back(GetVertex(0, ind1));
vertices.push_back(GetVertex(0, ind2));
vertices.push_back(GetVertex(0, ind3));
// first vertex most left
//
G4ThreeVector cross
= (vertices[1]-vertices[0]).cross(vertices[2]-vertices[1]);
if ( cross.z() > 0.0 )
{
// vertices ordered clock wise has to be reordered
// G4cout << "G4ExtrudedSolid::MakeDownFacet: reordering vertices "
// << ind1 << ", " << ind2 << ", " << ind3 << G4endl;
G4ThreeVector tmp = vertices[1];
vertices[1] = vertices[2];
vertices[2] = tmp;
}
return new G4TriangularFacet(vertices[0], vertices[1],
vertices[2], ABSOLUTE);
}
//_____________________________________________________________________________
G4VFacet*
G4ExtrudedSolid::MakeUpFacet(G4int ind1, G4int ind2, G4int ind3) const
{
// Creates a triangular facet from the polygon points given by indices
// forming the upper side ( z>0 )
std::vector<G4ThreeVector> vertices;
vertices.push_back(GetVertex(fNz-1, ind1));
vertices.push_back(GetVertex(fNz-1, ind2));
vertices.push_back(GetVertex(fNz-1, ind3));
// first vertex most left
//
G4ThreeVector cross
= (vertices[1]-vertices[0]).cross(vertices[2]-vertices[1]);
if ( cross.z() < 0.0 )
{
// vertices ordered clock wise has to be reordered
// G4cout << "G4ExtrudedSolid::MakeUpFacet: reordering vertices "
// << ind1 << ", " << ind2 << ", " << ind3 << G4endl;
G4ThreeVector tmp = vertices[1];
vertices[1] = vertices[2];
vertices[2] = tmp;
}
return new G4TriangularFacet(vertices[0], vertices[1],
vertices[2], ABSOLUTE);
}
//_____________________________________________________________________________
G4bool G4ExtrudedSolid::AddGeneralPolygonFacets()
{
// Decompose polygonal sides in triangular facets
typedef std::pair < G4TwoVector, G4int > Vertex;
static const G4double kAngTolerance =
G4GeometryTolerance::GetInstance()->GetAngularTolerance();
// Fill one more vector
//
std::vector< Vertex > verticesToBeDone;
for ( G4int i=0; i<fNv; ++i )
{
verticesToBeDone.push_back(Vertex(fPolygon[i], i));
}
std::vector< Vertex > ears;
std::vector< Vertex >::iterator c1 = verticesToBeDone.begin();
std::vector< Vertex >::iterator c2 = c1+1;
std::vector< Vertex >::iterator c3 = c1+2;
while ( verticesToBeDone.size()>2 ) // Loop checking, 13.08.2015, G.Cosmo
{
// G4cout << "Looking at triangle : "
// << c1->second << " " << c2->second
// << " " << c3->second << G4endl;
//G4cout << "Looking at triangle : "
// << c1->first << " " << c2->first
// << " " << c3->first << G4endl;
// skip concave vertices
//
G4double angle = GetAngle(c2->first, c3->first, c1->first);
//G4cout << "angle " << angle << G4endl;
G4int counter = 0;
while ( angle >= (pi-kAngTolerance) ) // Loop checking, 13.08.2015, G.Cosmo
{
// G4cout << "Skipping concave vertex " << c2->second << G4endl;
// try next three consecutive vertices
//
c1 = c2;
c2 = c3;
++c3;
if ( c3 == verticesToBeDone.end() ) { c3 = verticesToBeDone.begin(); }
//G4cout << "Looking at triangle : "
// << c1->first << " " << c2->first
// << " " << c3->first << G4endl;
angle = GetAngle(c2->first, c3->first, c1->first);
//G4cout << "angle " << angle << G4endl;
++counter;
if ( counter > fNv)
{
G4Exception("G4ExtrudedSolid::AddGeneralPolygonFacets",
"GeomSolids0003", FatalException,
"Triangularisation has failed.");
break;
}
}
G4bool good = true;
for ( auto it=verticesToBeDone.cbegin(); it!=verticesToBeDone.cend(); ++it )
{
// skip vertices of tested triangle
//
if ( it == c1 || it == c2 || it == c3 ) { continue; }
if ( IsPointInside(c1->first, c2->first, c3->first, it->first) )
{
// G4cout << "Point " << it->second << " is inside" << G4endl;
good = false;
// try next three consecutive vertices
//
c1 = c2;
c2 = c3;
++c3;
if ( c3 == verticesToBeDone.end() ) { c3 = verticesToBeDone.begin(); }
break;
}
// else
// { G4cout << "Point " << it->second << " is outside" << G4endl; }
}
if ( good )
{
// all points are outside triangle, we can make a facet
// G4cout << "Found triangle : "
// << c1->second << " " << c2->second
// << " " << c3->second << G4endl;
G4bool result;
result = AddFacet( MakeDownFacet(c1->second, c2->second, c3->second) );
if ( ! result ) { return false; }
result = AddFacet( MakeUpFacet(c1->second, c2->second, c3->second) );
if ( ! result ) { return false; }
std::vector<G4int> triangle(3);
triangle[0] = c1->second;
triangle[1] = c2->second;
triangle[2] = c3->second;
fTriangles.push_back(triangle);
// remove the ear point from verticesToBeDone
//
verticesToBeDone.erase(c2);
c1 = verticesToBeDone.begin();
c2 = c1+1;
c3 = c1+2;
}
}
return true;
}
//_____________________________________________________________________________
G4bool G4ExtrudedSolid::MakeFacets()
{
// Define facets
G4bool good;
// Decomposition of polygonal sides in the facets
//
if ( fNv == 3 )
{
good = AddFacet( new G4TriangularFacet( GetVertex(0, 0), GetVertex(0, 1),
GetVertex(0, 2), ABSOLUTE) );
if ( ! good ) { return false; }
good = AddFacet( new G4TriangularFacet( GetVertex(fNz-1, 2),
GetVertex(fNz-1, 1),
GetVertex(fNz-1, 0),
ABSOLUTE) );
if ( ! good ) { return false; }
std::vector<G4int> triangle(3);
triangle[0] = 0;
triangle[1] = 1;
triangle[2] = 2;
fTriangles.push_back(triangle);
}
else if ( fNv == 4 )
{
good = AddFacet( new G4QuadrangularFacet( GetVertex(0, 0),GetVertex(0, 1),
GetVertex(0, 2),GetVertex(0, 3),
ABSOLUTE) );
if ( ! good ) { return false; }
good = AddFacet( new G4QuadrangularFacet( GetVertex(fNz-1, 3),
GetVertex(fNz-1, 2),
GetVertex(fNz-1, 1),
GetVertex(fNz-1, 0),
ABSOLUTE) );
if ( ! good ) { return false; }
std::vector<G4int> triangle1(3);
triangle1[0] = 0;
triangle1[1] = 1;
triangle1[2] = 2;
fTriangles.push_back(triangle1);
std::vector<G4int> triangle2(3);
triangle2[0] = 0;
triangle2[1] = 2;
triangle2[2] = 3;
fTriangles.push_back(triangle2);
}
else
{
good = AddGeneralPolygonFacets();
if ( ! good ) { return false; }
}
// The quadrangular sides
//
for ( G4int iz = 0; iz < fNz-1; ++iz )
{
for ( G4int i = 0; i < fNv; ++i )
{
G4int j = (i+1) % fNv;
good = AddFacet( new G4QuadrangularFacet
( GetVertex(iz, j), GetVertex(iz, i),
GetVertex(iz+1, i), GetVertex(iz+1, j), ABSOLUTE) );
if ( ! good ) { return false; }
}
}
SetSolidClosed(true);
return good;
}
//_____________________________________________________________________________
G4GeometryType G4ExtrudedSolid::GetEntityType () const
{
// Return entity type
return fGeometryType;
}
//_____________________________________________________________________________
G4VSolid* G4ExtrudedSolid::Clone() const
{
return new G4ExtrudedSolid(*this);
}
//_____________________________________________________________________________
EInside G4ExtrudedSolid::Inside(const G4ThreeVector &p) const
{
switch (fSolidType)
{
case 1: // convex right prism
{
G4double dist = std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
if (dist > kCarToleranceHalf) { return kOutside; }
G4int np = fPlanes.size();
for (G4int i=0; i<np; ++i)
{
G4double dd = fPlanes[i].a*p.x() + fPlanes[i].b*p.y() + fPlanes[i].d;
if (dd > dist) { dist = dd; }
}
if (dist > kCarToleranceHalf) { return kOutside; }
return (dist > -kCarToleranceHalf) ? kSurface : kInside;
}
case 2: // non-convex right prism
{
G4double distz = std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
if (distz > kCarToleranceHalf) { return kOutside; }
G4bool in = PointInPolygon(p);
if (distz > -kCarToleranceHalf && in) { return kSurface; }
G4double dd = DistanceToPolygonSqr(p) - kCarToleranceHalf*kCarToleranceHalf;
if (in)
{
return (dd >= 0) ? kInside : kSurface;
}
else
{
return (dd > 0) ? kOutside : kSurface;
}
}
}
// Override the base class function as it fails in case of concave polygon.
// Project the point in the original polygon scale and check if it is inside
// for each triangle.
// Check first if outside extent
//
if ( p.x() < GetMinXExtent() - kCarToleranceHalf ||
p.x() > GetMaxXExtent() + kCarToleranceHalf ||
p.y() < GetMinYExtent() - kCarToleranceHalf ||
p.y() > GetMaxYExtent() + kCarToleranceHalf ||
p.z() < GetMinZExtent() - kCarToleranceHalf ||
p.z() > GetMaxZExtent() + kCarToleranceHalf )
{
// G4cout << "G4ExtrudedSolid::Outside extent: " << p << G4endl;
return kOutside;
}
// Project point p(z) to the polygon scale p0
//
G4TwoVector pscaled = ProjectPoint(p);
// Check if on surface of polygon
//
for ( G4int i=0; i<fNv; ++i )
{
G4int j = (i+1) % fNv;
if ( IsSameLineSegment(pscaled, fPolygon[i], fPolygon[j]) )
{
// G4cout << "G4ExtrudedSolid::Inside return Surface (on polygon) "
// << G4endl;
return kSurface;
}
}
// Now check if inside triangles
//
auto it = fTriangles.cbegin();
G4bool inside = false;
do // Loop checking, 13.08.2015, G.Cosmo
{
if ( IsPointInside(fPolygon[(*it)[0]], fPolygon[(*it)[1]],
fPolygon[(*it)[2]], pscaled) ) { inside = true; }
++it;
} while ( (inside == false) && (it != fTriangles.cend()) );
if ( inside )
{
// Check if on surface of z sides
//
if ( std::fabs( p.z() - fZSections[0].fZ ) < kCarToleranceHalf ||
std::fabs( p.z() - fZSections[fNz-1].fZ ) < kCarToleranceHalf )
{
// G4cout << "G4ExtrudedSolid::Inside return Surface (on z side)"
// << G4endl;
return kSurface;
}
// G4cout << "G4ExtrudedSolid::Inside return Inside" << G4endl;
return kInside;
}
// G4cout << "G4ExtrudedSolid::Inside return Outside " << G4endl;
return kOutside;
}
//_____________________________________________________________________________
G4ThreeVector G4ExtrudedSolid::SurfaceNormal(const G4ThreeVector& p) const
{
G4int nsurf = 0;
G4double nx = 0, ny = 0, nz = 0;
switch (fSolidType)
{
case 1: // convex right prism
{
if (std::abs(p.z() - fZSections[0].fZ) <= kCarToleranceHalf)
{
nz = -1; ++nsurf;
}
if (std::abs(p.z() - fZSections[1].fZ) <= kCarToleranceHalf)
{
nz = 1; ++nsurf;
}
for (G4int i=0; i<fNv; ++i)
{
G4double dd = fPlanes[i].a*p.x() + fPlanes[i].b*p.y() + fPlanes[i].d;
if (std::abs(dd) > kCarToleranceHalf) continue;
nx += fPlanes[i].a;
ny += fPlanes[i].b;
++nsurf;
}
break;
}
case 2: // non-convex right prism
{
if (std::abs(p.z() - fZSections[0].fZ) <= kCarToleranceHalf)
{
nz = -1; ++nsurf;
}
if (std::abs(p.z() - fZSections[1].fZ) <= kCarToleranceHalf)
{
nz = 1; ++nsurf;
}
G4double sqrCarToleranceHalf = kCarToleranceHalf*kCarToleranceHalf;
for (G4int i=0, k=fNv-1; i<fNv; k=i++)
{
G4double ix = p.x() - fPolygon[i].x();
G4double iy = p.y() - fPolygon[i].y();
G4double u = fPlanes[i].a*iy - fPlanes[i].b*ix;
if (u < 0)
{
if (ix*ix + iy*iy > sqrCarToleranceHalf) continue;
}
else if (u > fLengths[i])
{
G4double kx = p.x() - fPolygon[k].x();
G4double ky = p.y() - fPolygon[k].y();
if (kx*kx + ky*ky > sqrCarToleranceHalf) continue;
}
else
{
G4double dd = fPlanes[i].a*p.x() + fPlanes[i].b*p.y() + fPlanes[i].d;
if (dd*dd > sqrCarToleranceHalf) continue;
}
nx += fPlanes[i].a;
ny += fPlanes[i].b;
++nsurf;
}
break;
}
default:
{
return G4TessellatedSolid::SurfaceNormal(p);
}
}
// Return normal (right prism)
//
if (nsurf == 1)
{
return G4ThreeVector(nx,ny,nz);
}
else if (nsurf != 0) // edge or corner
{
return G4ThreeVector(nx,ny,nz).unit();
}
else
{
// Point is not on the surface, compute approximate normal
//
#ifdef G4CSGDEBUG
std::ostringstream message;
G4int oldprc = message.precision(16);
message << "Point p is not on surface (!?) of solid: "
<< GetName() << G4endl;
message << "Position:\n";
message << " p.x() = " << p.x()/mm << " mm\n";
message << " p.y() = " << p.y()/mm << " mm\n";
message << " p.z() = " << p.z()/mm << " mm";
G4cout.precision(oldprc) ;
G4Exception("G4TesselatedSolid::SurfaceNormal(p)", "GeomSolids1002",
JustWarning, message );
DumpInfo();
#endif
return ApproxSurfaceNormal(p);
}
}
//_____________________________________________________________________________
G4ThreeVector G4ExtrudedSolid::ApproxSurfaceNormal(const G4ThreeVector& p) const
{
// This method is valid only for right prisms and
// normally should not be called
if (fSolidType == 1 || fSolidType == 2)
{
// Find distances to z-planes
//
G4double dz0 = fZSections[0].fZ - p.z();
G4double dz1 = p.z() - fZSections[1].fZ;
G4double ddz0 = dz0*dz0;
G4double ddz1 = dz1*dz1;
// Find nearest lateral side and distance to it
//
G4int iside = 0;
G4double dd = DBL_MAX;
for (G4int i=0, k=fNv-1; i<fNv; k=i++)
{
G4double ix = p.x() - fPolygon[i].x();
G4double iy = p.y() - fPolygon[i].y();
G4double u = fPlanes[i].a*iy - fPlanes[i].b*ix;
if (u < 0)
{
G4double tmp = ix*ix + iy*iy;
if (tmp < dd) { dd = tmp; iside = i; }
}
else if (u > fLengths[i])
{
G4double kx = p.x() - fPolygon[k].x();
G4double ky = p.y() - fPolygon[k].y();
G4double tmp = kx*kx + ky*ky;
if (tmp < dd) { dd = tmp; iside = i; }
}
else
{
G4double tmp = fPlanes[i].a*p.x() + fPlanes[i].b*p.y() + fPlanes[i].d;
tmp *= tmp;
if (tmp < dd) { dd = tmp; iside = i; }
}
}
// Find region
//
// 3 | 1 | 3
// ----+-------+----
// 2 | 0 | 2
// ----+-------+----
// 3 | 1 | 3
//
G4int iregion = 0;
if (std::max(dz0,dz1) > 0) iregion = 1;
G4bool in = PointInPolygon(p);
if (!in) iregion += 2;
// Return normal
//
switch (iregion)
{
case 0:
{
if (ddz0 <= ddz1 && ddz0 <= dd) return G4ThreeVector(0, 0,-1);
if (ddz1 <= ddz0 && ddz1 <= dd) return G4ThreeVector(0, 0, 1);
return G4ThreeVector(fPlanes[iside].a, fPlanes[iside].b, 0);
}
case 1:
{
return G4ThreeVector(0, 0, (dz0 > dz1) ? -1 : 1);
}
case 2:
{
return G4ThreeVector(fPlanes[iside].a, fPlanes[iside].b, 0);
}
case 3:
{
G4double dzmax = std::max(dz0,dz1);
if (dzmax*dzmax > dd) return G4ThreeVector(0,0,(dz0 > dz1) ? -1 : 1);
return G4ThreeVector(fPlanes[iside].a,fPlanes[iside].b, 0);
}
}
}
return G4ThreeVector(0,0,0);
}
//_____________________________________________________________________________
G4double G4ExtrudedSolid::DistanceToIn(const G4ThreeVector& p,
const G4ThreeVector& v) const
{
G4double z0 = fZSections[0].fZ;
G4double z1 = fZSections[fNz-1].fZ;
if ((p.z() <= z0 + kCarToleranceHalf) && v.z() <= 0) return kInfinity;
if ((p.z() >= z1 - kCarToleranceHalf) && v.z() >= 0) return kInfinity;
switch (fSolidType)
{
case 1: // convex right prism
{
// Intersection with Z planes
//
G4double dz = (z1 - z0)*0.5;
G4double pz = p.z() - dz - z0;
G4double invz = (v.z() == 0) ? DBL_MAX : -1./v.z();
G4double ddz = (invz < 0) ? dz : -dz;
G4double tzmin = (pz + ddz)*invz;
G4double tzmax = (pz - ddz)*invz;
// Intersection with lateral planes
//
G4int np = fPlanes.size();
G4double txmin = tzmin, txmax = tzmax;
for (G4int i=0; i<np; ++i)
{
G4double cosa = fPlanes[i].a*v.x()+fPlanes[i].b*v.y();
G4double dist = fPlanes[i].a*p.x()+fPlanes[i].b*p.y()+fPlanes[i].d;
if (dist >= -kCarToleranceHalf)
{
if (cosa >= 0) { return kInfinity; }
G4double tmp = -dist/cosa;
if (txmin < tmp) { txmin = tmp; }
}
else if (cosa > 0)
{
G4double tmp = -dist/cosa;
if (txmax > tmp) { txmax = tmp; }
}
}
// Find distance
//
G4double tmin = txmin, tmax = txmax;
if (tmax <= tmin + kCarToleranceHalf) // touch or no hit
{
return kInfinity;
}
return (tmin < kCarToleranceHalf) ? 0. : tmin;
}
case 2: // non-convex right prism
{
}
}
return G4TessellatedSolid::DistanceToIn(p,v);
}
//_____________________________________________________________________________
G4double G4ExtrudedSolid::DistanceToIn (const G4ThreeVector& p) const
{
switch (fSolidType)
{
case 1: // convex right prism
{
G4double dist = std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
G4int np = fPlanes.size();
for (G4int i=0; i<np; ++i)
{
G4double dd = fPlanes[i].a*p.x() + fPlanes[i].b*p.y() + fPlanes[i].d;
if (dd > dist) dist = dd;
}
return (dist > 0) ? dist : 0.;
}
case 2: // non-convex right prism
{
G4bool in = PointInPolygon(p);
if (in)
{
G4double distz= std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
return (distz > 0) ? distz : 0;
}
else
{
G4double distz= std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
G4double dd = DistanceToPolygonSqr(p);
if (distz > 0) dd += distz*distz;
return std::sqrt(dd);
}
}
}
// General case: use tessellated solid
return G4TessellatedSolid::DistanceToIn(p);
}
//_____________________________________________________________________________
G4double G4ExtrudedSolid::DistanceToOut (const G4ThreeVector &p,
const G4ThreeVector &v,
const G4bool calcNorm,
G4bool* validNorm,
G4ThreeVector* n) const
{
G4bool getnorm = calcNorm;
if (getnorm) *validNorm = true;
G4double z0 = fZSections[0].fZ;
G4double z1 = fZSections[fNz-1].fZ;
if ((p.z() <= z0 + kCarToleranceHalf) && v.z() < 0)
{
if (getnorm) n->set(0,0,-1);
return 0;
}
if ((p.z() >= z1 - kCarToleranceHalf) && v.z() > 0)
{
if (getnorm) n->set(0,0,1);
return 0;
}
switch (fSolidType)
{
case 1: // convex right prism
{
// Intersection with Z planes
//
G4double dz = (z1 - z0)*0.5;
G4double pz = p.z() - 0.5 * (z0 + z1);
G4double vz = v.z();
G4double tmax = (vz == 0) ? DBL_MAX : (std::copysign(dz,vz) - pz)/vz;
G4int iside = (vz < 0) ? -4 : -2; // little trick: (-4+3)=-1, (-2+3)=+1
// Intersection with lateral planes
//
G4int np = fPlanes.size();
for (G4int i=0; i<np; ++i)
{
G4double cosa = fPlanes[i].a*v.x()+fPlanes[i].b*v.y();
if (cosa > 0)
{
G4double dist = fPlanes[i].a*p.x()+fPlanes[i].b*p.y()+fPlanes[i].d;
if (dist >= -kCarToleranceHalf)
{
if (getnorm) n->set(fPlanes[i].a, fPlanes[i].b, fPlanes[i].c);
return 0;
}
G4double tmp = -dist/cosa;
if (tmax > tmp) { tmax = tmp; iside = i; }
}
}
// Set normal, if required, and return distance
//
if (getnorm)
{
if (iside < 0)
{ n->set(0, 0, iside + 3); } // (-4+3)=-1, (-2+3)=+1
else
{ n->set(fPlanes[iside].a, fPlanes[iside].b, fPlanes[iside].c); }
}
return tmax;
}
case 2: // non-convex right prism
{
}
}
// Override the base class function to redefine validNorm
// (the solid can be concave)
G4double distOut =
G4TessellatedSolid::DistanceToOut(p, v, calcNorm, validNorm, n);
if (validNorm) { *validNorm = fIsConvex; }
return distOut;
}
//_____________________________________________________________________________
G4double G4ExtrudedSolid::DistanceToOut(const G4ThreeVector& p) const
{
switch (fSolidType)
{
case 1: // convex right prism
{
G4double dist = std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
G4int np = fPlanes.size();
for (G4int i=0; i<np; ++i)
{
G4double dd = fPlanes[i].a*p.x() + fPlanes[i].b*p.y() + fPlanes[i].d;
if (dd > dist) dist = dd;
}
return (dist < 0) ? -dist : 0.;
}
case 2: // non-convex right prism
{
G4double distz = std::max(fZSections[0].fZ-p.z(),p.z()-fZSections[1].fZ);
G4bool in = PointInPolygon(p);
if (distz >= 0 || (!in)) return 0; // point is outside
return std::min(-distz,std::sqrt(DistanceToPolygonSqr(p)));
}
}
// General case: use tessellated solid
return G4TessellatedSolid::DistanceToOut(p);
}
//_____________________________________________________________________________
// Get bounding box
void G4ExtrudedSolid::BoundingLimits(G4ThreeVector& pMin,
G4ThreeVector& pMax) const
{
G4double xmin0 = kInfinity, xmax0 = -kInfinity;
G4double ymin0 = kInfinity, ymax0 = -kInfinity;
for (G4int i=0; i<GetNofVertices(); ++i)
{
G4double x = fPolygon[i].x();
if (x < xmin0) xmin0 = x;
if (x > xmax0) xmax0 = x;
G4double y = fPolygon[i].y();
if (y < ymin0) ymin0 = y;
if (y > ymax0) ymax0 = y;
}
G4double xmin = kInfinity, xmax = -kInfinity;
G4double ymin = kInfinity, ymax = -kInfinity;
G4int nsect = GetNofZSections();
for (G4int i=0; i<nsect; ++i)
{
ZSection zsect = GetZSection(i);
G4double dx = zsect.fOffset.x();
G4double dy = zsect.fOffset.y();
G4double scale = zsect.fScale;
xmin = std::min(xmin,xmin0*scale+dx);
xmax = std::max(xmax,xmax0*scale+dx);
ymin = std::min(ymin,ymin0*scale+dy);
ymax = std::max(ymax,ymax0*scale+dy);
}
G4double zmin = GetZSection(0).fZ;
G4double zmax = GetZSection(nsect-1).fZ;
pMin.set(xmin,ymin,zmin);
pMax.set(xmax,ymax,zmax);
// Check correctness of the bounding box
//
if (pMin.x() >= pMax.x() || pMin.y() >= pMax.y() || pMin.z() >= pMax.z())
{
std::ostringstream message;
message << "Bad bounding box (min >= max) for solid: "
<< GetName() << " !"
<< "\npMin = " << pMin
<< "\npMax = " << pMax;
G4Exception("G4ExtrudedSolid::BoundingLimits()",
"GeomMgt0001", JustWarning, message);
DumpInfo();
}
}
//_____________________________________________________________________________
// Calculate extent under transform and specified limit
G4bool
G4ExtrudedSolid::CalculateExtent(const EAxis pAxis,
const G4VoxelLimits& pVoxelLimit,
const G4AffineTransform& pTransform,
G4double& pMin, G4double& pMax) const
{
G4ThreeVector bmin, bmax;
G4bool exist;
// Check bounding box (bbox)
//
BoundingLimits(bmin,bmax);
G4BoundingEnvelope bbox(bmin,bmax);
#ifdef G4BBOX_EXTENT
return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
#endif
if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVoxelLimit,pTransform,pMin,pMax))
{
return exist = (pMin < pMax) ? true : false;
}
// To find the extent, the base polygon is subdivided in triangles.
// The extent is calculated as cumulative extent of the parts
// formed by extrusion of the triangles
//
G4TwoVectorList triangles;
G4double eminlim = pVoxelLimit.GetMinExtent(pAxis);
G4double emaxlim = pVoxelLimit.GetMaxExtent(pAxis);
// triangulate the base polygon
if (!G4GeomTools::TriangulatePolygon(fPolygon,triangles))
{
std::ostringstream message;
message << "Triangulation of the base polygon has failed for solid: "
<< GetName() << " !"
<< "\nExtent has been calculated using boundary box";
G4Exception("G4ExtrudedSolid::CalculateExtent()",
"GeomMgt1002",JustWarning,message);
return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
}
// allocate vector lists
G4int nsect = GetNofZSections();
std::vector<const G4ThreeVectorList *> polygons;
polygons.resize(nsect);
for (G4int k=0; k<nsect; ++k) { polygons[k] = new G4ThreeVectorList(3); }
// main loop along triangles
pMin = kInfinity;
pMax = -kInfinity;
G4int ntria = triangles.size()/3;
for (G4int i=0; i<ntria; ++i)
{
G4int i3 = i*3;
for (G4int k=0; k<nsect; ++k) // extrude triangle
{
ZSection zsect = GetZSection(k);
G4double z = zsect.fZ;
G4double dx = zsect.fOffset.x();
G4double dy = zsect.fOffset.y();
G4double scale = zsect.fScale;
G4ThreeVectorList* ptr = const_cast<G4ThreeVectorList*>(polygons[k]);
G4ThreeVectorList::iterator iter = ptr->begin();
G4double x0 = triangles[i3+0].x()*scale+dx;
G4double y0 = triangles[i3+0].y()*scale+dy;
iter->set(x0,y0,z);
iter++;
G4double x1 = triangles[i3+1].x()*scale+dx;
G4double y1 = triangles[i3+1].y()*scale+dy;
iter->set(x1,y1,z);
iter++;
G4double x2 = triangles[i3+2].x()*scale+dx;
G4double y2 = triangles[i3+2].y()*scale+dy;
iter->set(x2,y2,z);
}
// set sub-envelope and adjust extent
G4double emin,emax;
G4BoundingEnvelope benv(polygons);
if (!benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,emin,emax)) continue;
if (emin < pMin) pMin = emin;
if (emax > pMax) pMax = emax;
if (eminlim > pMin && emaxlim < pMax) break; // max possible extent
}
// free memory
for (G4int k=0; k<nsect; ++k) { delete polygons[k]; polygons[k]=0;}
return (pMin < pMax);
}
//_____________________________________________________________________________
std::ostream& G4ExtrudedSolid::StreamInfo(std::ostream &os) const
{
G4int oldprc = os.precision(16);
os << "-----------------------------------------------------------\n"
<< " *** Dump for solid - " << GetName() << " ***\n"
<< " ===================================================\n"
<< " Solid geometry type: " << fGeometryType << G4endl;
if ( fIsConvex)
{ os << " Convex polygon; list of vertices:" << G4endl; }
else
{ os << " Concave polygon; list of vertices:" << G4endl; }
for ( G4int i=0; i<fNv; ++i )
{
os << std::setw(5) << "#" << i
<< " vx = " << fPolygon[i].x()/mm << " mm"
<< " vy = " << fPolygon[i].y()/mm << " mm" << G4endl;
}
os << " Sections:" << G4endl;
for ( G4int iz=0; iz<fNz; ++iz )
{
os << " z = " << fZSections[iz].fZ/mm << " mm "
<< " x0= " << fZSections[iz].fOffset.x()/mm << " mm "
<< " y0= " << fZSections[iz].fOffset.y()/mm << " mm "
<< " scale= " << fZSections[iz].fScale << G4endl;
}
/*
// Triangles (for debugging)
os << G4endl;
os << " Triangles:" << G4endl;
os << " Triangle # vertex1 vertex2 vertex3" << G4endl;
G4int counter = 0;
std::vector< std::vector<G4int> >::const_iterator it;
for ( it = fTriangles.begin(); it != fTriangles.end(); it++ ) {
std::vector<G4int> triangle = *it;
os << std::setw(10) << counter++
<< std::setw(10) << triangle[0] << std::setw(10) << triangle[1]
<< std::setw(10) << triangle[2]
<< G4endl;
}
*/
os.precision(oldprc);
return os;
}
#endif