// @(#)root/geom:$Name: $:$Id: TGeoSphere.cxx,v 1.3 2002/07/15 15:32:25 brun Exp $
// Author: Andrei Gheata 31/01/02
// TGeoSphere::Contains() DistToOut() implemented by Mihaela Gheata
/*************************************************************************
* Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *
* All rights reserved. *
* *
* For the licensing terms see $ROOTSYS/LICENSE. *
* For the list of contributors see $ROOTSYS/README/CREDITS. *
*************************************************************************/
#include "TROOT.h"
#include "TGeoManager.h"
#include "TGeoVolume.h"
#include "TVirtualGeoPainter.h"
#include "TGeoSphere.h"
/*************************************************************************
* TGeoSphere - spherical shell class. It takes 6 parameters :
* - inner and outer radius Rmin, Rmax
* - the theta limits Tmin, Tmax
* - the phi limits Pmin, Pmax (the sector in phi is considered
* starting from Pmin to Pmax counter-clockwise
*
*************************************************************************/
//
/*
*/
//
ClassImp(TGeoSphere)
//-----------------------------------------------------------------------------
TGeoSphere::TGeoSphere()
{
// Default constructor
SetBit(TGeoShape::kGeoSph);
fNz = 0;
fNseg = 0;
fRmin = 0.0;
fRmax = 0.0;
fTheta1 = 0.0;
fTheta2 = 180.0;
fPhi1 = 0.0;
fPhi2 = 360.0;
}
//-----------------------------------------------------------------------------
TGeoSphere::TGeoSphere(Double_t rmin, Double_t rmax, Double_t theta1,
Double_t theta2, Double_t phi1, Double_t phi2)
:TGeoBBox(0, 0, 0)
{
// Default constructor specifying minimum and maximum radius
SetBit(TGeoShape::kGeoSph);
SetSphDimensions(rmin, rmax, theta1, theta2, phi1, phi2);
ComputeBBox();
SetNumberOfDivisions(20);
}
//-----------------------------------------------------------------------------
TGeoSphere::TGeoSphere(Double_t *param, Int_t nparam)
{
// Default constructor specifying minimum and maximum radius
// param[0] = Rmin
// param[1] = Rmax
SetBit(TGeoShape::kGeoSph);
SetDimensions(param);
ComputeBBox();
SetNumberOfDivisions(20);
}
//-----------------------------------------------------------------------------
TGeoSphere::~TGeoSphere()
{
// destructor
}
//-----------------------------------------------------------------------------
void TGeoSphere::ComputeBBox()
{
// compute bounding box of the sphere
// Double_t xmin, xmax, ymin, ymax, zmin, zmax;
if (TMath::Abs(fTheta2-fTheta1) == 180) {
if (TMath::Abs(fPhi2-fPhi1) == 360) {
TGeoBBox::SetBoxDimensions(fRmax, fRmax, fRmax);
memset(fOrigin, 0, 3*sizeof(Double_t));
return;
}
}
Double_t st1 = TMath::Sin(fTheta1*kDegRad);
Double_t st2 = TMath::Sin(fTheta2*kDegRad);
Double_t r1min, r1max, r2min, r2max, rmin, rmax;
r1min = TMath::Min(fRmax*st1, fRmax*st2);
r1max = TMath::Max(fRmax*st1, fRmax*st2);
r2min = TMath::Min(fRmin*st1, fRmin*st2);
r2max = TMath::Max(fRmin*st1, fRmin*st2);
if (((fTheta1<=90) && (fTheta2>=90)) || ((fTheta2<=90) && (fTheta1>=90))) {
r1max = fRmax;
r2max = fRmin;
}
rmin = TMath::Min(r1min, r2min);
rmax = TMath::Max(r1max, r2max);
Double_t xc[4];
Double_t yc[4];
xc[0] = rmax*TMath::Cos(fPhi1*kDegRad);
yc[0] = rmax*TMath::Sin(fPhi1*kDegRad);
xc[1] = rmax*TMath::Cos(fPhi2*kDegRad);
yc[1] = rmax*TMath::Sin(fPhi2*kDegRad);
xc[2] = rmin*TMath::Cos(fPhi1*kDegRad);
yc[2] = rmin*TMath::Sin(fPhi1*kDegRad);
xc[3] = rmin*TMath::Cos(fPhi2*kDegRad);
yc[3] = rmin*TMath::Sin(fPhi2*kDegRad);
Double_t xmin = xc[TMath::LocMin(4, &xc[0])];
Double_t xmax = xc[TMath::LocMax(4, &xc[0])];
Double_t ymin = yc[TMath::LocMin(4, &yc[0])];
Double_t ymax = yc[TMath::LocMax(4, &yc[0])];
Double_t dp = fPhi2-fPhi1;
if (dp<0) dp+=360;
Double_t ddp = -fPhi1;
if (ddp<0) ddp+= 360;
if (ddp>360) ddp-=360;
if (ddp<=dp) xmax = rmax;
ddp = 90-fPhi1;
if (ddp<0) ddp+= 360;
if (ddp>360) ddp-=360;
if (ddp<=dp) ymax = rmax;
ddp = 180-fPhi1;
if (ddp<0) ddp+= 360;
if (ddp>360) ddp-=360;
if (ddp<=dp) xmin = -rmax;
ddp = 270-fPhi1;
if (ddp<0) ddp+= 360;
if (ddp>360) ddp-=360;
if (ddp<=dp) ymin = -rmax;
xc[0] = fRmax*TMath::Cos(fTheta1*kDegRad);
xc[1] = fRmax*TMath::Cos(fTheta2*kDegRad);
xc[2] = fRmin*TMath::Cos(fTheta1*kDegRad);
xc[3] = fRmin*TMath::Cos(fTheta2*kDegRad);
Double_t zmin = xc[TMath::LocMin(4, &xc[0])];
Double_t zmax = xc[TMath::LocMax(4, &xc[0])];
fOrigin[0] = (xmax+xmin)/2;
fOrigin[1] = (ymax+ymin)/2;
fOrigin[2] = (zmax+zmin)/2;;
fDX = (xmax-xmin)/2;
fDY = (ymax-ymin)/2;
fDZ = (zmax-zmin)/2;
}
//-----------------------------------------------------------------------------
Bool_t TGeoSphere::Contains(Double_t *point) const
{
// test if point is inside this sphere
// check Rmin<=R<=Rmax
Double_t r2=point[0]*point[0]+point[1]*point[1]+point[2]*point[2];
if ((r2<fRmin*fRmin) || (r2>fRmax*fRmax)) return kFALSE;
// check phi range
Double_t phi = TMath::ATan2(point[1], point[0]) * kRadDeg;
if (phi < 0 ) phi+=360.;
Double_t dphi = fPhi2 -fPhi1;
if (dphi < 0) dphi+=360.;
Double_t ddp = phi - fPhi1;
if (ddp < 0) ddp += 360.;
if (ddp > 360.) ddp -= 360;
if (ddp > dphi) return kFALSE;
r2 = point[0]*point[0]+point[1]*point[1];
r2=TMath::Sqrt(r2);
// check theta range
Double_t theta = TMath::ATan2(r2, point[2])*kRadDeg;
if (theta < 0) theta+=180.;
if ((theta<fTheta1) || (theta>fTheta2)) return kFALSE;
return kTRUE;
}
//-----------------------------------------------------------------------------
Double_t TGeoSphere::DistToSurf(Double_t *point, Double_t *dir) const
{
// computes the distance to next surface of the sphere along a ray
// starting from given point to the given direction.
return kBig;;
}
//-----------------------------------------------------------------------------
Int_t TGeoSphere::DistancetoPrimitive(Int_t px, Int_t py)
{
// compute closest distance from point px,py to each corner
Int_t n = fNseg+1;
Int_t nz = fNz+1;
const Int_t numPoints = 2*n*nz;
return ShapeDistancetoPrimitive(numPoints, px, py);
}
//-----------------------------------------------------------------------------
Double_t TGeoSphere::DistToIn(Double_t *point, Double_t *dir, Int_t iact, Double_t step, Double_t *safe) const
{
// compute distance from outside point to surface of the sphere
// Warning("DistToIn", "BBOX");
return TGeoBBox::DistToIn(point, dir, iact, step, safe);
}
//-----------------------------------------------------------------------------
Double_t TGeoSphere::DistToOut(Double_t *point, Double_t *dir, Int_t iact, Double_t step, Double_t *safe) const
{
// compute distance from outside point to surface of the sphere
Double_t saf[6];
Double_t rxy2 = point[0]*point[0]+point[1]*point[1];
Double_t rxy = TMath::Sqrt(rxy2);
Double_t r2 = rxy2+point[2]*point[2];
Double_t r=TMath::Sqrt(r2);
Bool_t rzero=kFALSE;
if (r==0) rzero=kTRUE;
//localize theta
Bool_t has_theta = ((fTheta2-fTheta1)>=180)?kFALSE:kTRUE;
Double_t th=0.;
if (has_theta && (!rzero)) {
th = TMath::ACos(point[2]/r)*kRadDeg;
}
//localize phi
Double_t phi1=fPhi1;
Double_t phi2=fPhi2;
Double_t phi=0.;
if (phi2<=phi1) phi2+=360.;
Bool_t has_phi = ((phi2-phi1)==360.)?kFALSE:kTRUE;
if (has_phi) {
phi=TMath::ATan2(point[1], point[0])*kRadDeg;
if (phi<phi1) phi+=360.;
}
if (iact<3 && safe) {
saf[0]=(fRmin==0)?kBig:r-fRmin;
saf[1]=fRmax-r;
if (!has_theta) {
saf[2]=saf[3]=kBig;
} else {
saf[2] = r*TMath::Sin((th-fTheta1)*kDegRad);
if (saf[2]<0) saf[2]=kBig;
saf[3] = r*TMath::Sin((fTheta2-th)*kDegRad);
if (saf[3]<0) saf[3]=kBig;
}
if (!has_phi) {
saf[4]=saf[5]=kBig;
} else {
Double_t dph1=phi-phi1;
if (dph1>90.) saf[4]=kBig;
else saf[4]=rxy*TMath::Sin(dph1*kDegRad);
Double_t dph2=phi2-phi;
if (dph2>90.) saf[5]=kBig;
else saf[5]=rxy*TMath::Sin(dph2*kDegRad);
}
*safe = saf[TMath::LocMin(6, &saf[0])];
if (iact==0) return kBig;
if (iact==1) {
if (step < *safe) return step;
}
}
// compute distance to shape
Double_t *norm=gGeoManager->GetNormalChecked();
if (rzero) {
memcpy(norm, dir, 3*sizeof(Double_t));
return fRmax;
}
// first do rmin
Double_t s=kBig;
Double_t b=point[0]*dir[0]+point[1]*dir[1]+point[2]*dir[2];
Double_t c = 0;
Double_t d=0;
Double_t xi, yi, zi;
if (fRmin>0) {
c = r2-fRmin*fRmin;
d=b*b-c;
if (d>=0) {
s=-b-TMath::Sqrt(d);
if (s>=0) {
xi=point[0]+s*dir[0];
yi=point[1]+s*dir[1];
zi=point[2]+s*dir[2];
// check theta
Double_t thi = TMath::ACos(zi/fRmin)*kRadDeg;
if ((thi>=fTheta1) && (thi<=fTheta2)) {
// check phi
Double_t phii=TMath::ATan2(yi,xi)*kRadDeg;
if (phii<phi1) phii+=360.;
if ((phii-phi1)<=(phi2-phi1)) {
norm[0]=-xi/fRmin;
norm[1]=-yi/fRmin;
norm[2]=-zi/fRmin;
return s;
}
}
}
}
}
// now do rmax
c = r2-fRmax*fRmax;
d=b*b-c;
if (d>=0) {
s=-b+TMath::Sqrt(d);
if (s>=0) {
xi=point[0]+s*dir[0];
yi=point[1]+s*dir[1];
zi=point[2]+s*dir[2];
// check theta
Double_t thi = TMath::ACos(zi/fRmax)*kRadDeg;
if ((thi>=fTheta1) && (thi<=fTheta2)) {
// check phi
Double_t phii=TMath::ATan2(yi,xi)*kRadDeg;
if (phii<phi1) phii+=360.;
if ((phii-phi1)<=(phi2-phi1)) {
norm[0]=xi/fRmax;
norm[1]=yi/fRmax;
norm[2]=zi/fRmax;
return s;
}
}
}
}
// check lower theta conical surface
return kBig;
}
//-----------------------------------------------------------------------------
TGeoVolume *TGeoSphere::Divide(TGeoVolume *voldiv, const char *divname, Int_t iaxis, Double_t step)
{
// Divide all range of iaxis in range/step cells
Error("Divide", "Division in all range not implemented");
return voldiv;
}
//-----------------------------------------------------------------------------
void TGeoSphere::InspectShape() const
{
// print shape parameters
printf("*** TGeoSphere parameters ***n");
printf(" Rmin = %11.5fn", fRmin);
printf(" Rmax = %11.5fn", fRmax);
printf(" Th1 = %11.5fn", fTheta1);
printf(" Th2 = %11.5fn", fTheta2);
printf(" Ph1 = %11.5fn", fPhi1);
printf(" Ph2 = %11.5fn", fPhi2);
TGeoBBox::InspectShape();
}
//-----------------------------------------------------------------------------
void TGeoSphere::Paint(Option_t *option)
{
// paint this shape according to option
TVirtualGeoPainter *painter = gGeoManager->GetGeomPainter();
if (!painter) return;
TGeoVolume *vol = gGeoManager->GetCurrentVolume();
if (vol->GetShape() != (TGeoShape*)this) return;
painter->PaintSphere(vol, option);
}
//-----------------------------------------------------------------------------
void TGeoSphere::NextCrossing(TGeoParamCurve *c, Double_t *point) const
{
// computes next intersection point of curve c with this shape
}
//-----------------------------------------------------------------------------
Double_t TGeoSphere::Safety(Double_t *point, Double_t *spoint, Option_t *option) const
{
// computes the closest distance from given point to this shape, according
// to option. The matching point on the shape is stored in spoint.
return kBig;
}
//-----------------------------------------------------------------------------
void TGeoSphere::SetSphDimensions(Double_t rmin, Double_t rmax, Double_t theta1,
Double_t theta2, Double_t phi1, Double_t phi2)
{
if (rmin >= rmax) {
Error("SetDimensions", "invalid parameters rmin/rmax");
return;
}
fRmin = rmin;
fRmax = rmax;
if (theta1 >= theta2) {
Error("SetDimensions", "invalid parameters theta1/theta2");
return;
}
fTheta1 = theta1;
fTheta2 = theta2;
fPhi1 = phi1;
fPhi2 = phi2;
}
//-----------------------------------------------------------------------------
void TGeoSphere::SetDimensions(Double_t *param)
{
Double_t rmin = param[0];
Double_t rmax = param[1];
Double_t theta1 = 0;
Double_t theta2 = 180.;
Double_t phi1 = 0;
Double_t phi2 = 360.;
// if (nparam > 2) theta1 = param[2];
// if (nparam > 3) theta2 = param[3];
// if (nparam > 4) phi1 = param[4];
// if (nparam > 5) phi2 = param[5];
SetSphDimensions(rmin, rmax, theta1, theta2, phi1, phi2);
}
//-----------------------------------------------------------------------------
void TGeoSphere::SetNumberOfDivisions(Int_t p)
{
fNseg = p;
Double_t dphi = fPhi2 - fPhi1;
if (dphi<0) dphi+=360;
Double_t dtheta = TMath::Abs(fTheta2-fTheta1);
fNz = Int_t(fNseg*dtheta/dphi) +1;
}
//-----------------------------------------------------------------------------
void TGeoSphere::SetPoints(Double_t *buff) const
{
// create sphere mesh points
Int_t i,j ;
if (buff) {
Double_t dphi = fPhi2-fPhi1;
if (dphi<0) dphi+=360;
Double_t dtheta = fTheta2-fTheta1;
Int_t n = fNseg + 1;
dphi = dphi/fNseg;
dtheta = dtheta/fNz;
Double_t z, theta, phi, cphi, sphi;
Int_t indx=0;
for (i = 0; i < fNz+1; i++)
{
theta = (fTheta1+i*dtheta)*kDegRad;
z = fRmin * TMath::Cos(theta); // fSinPhiTab[i];
Float_t zi = fRmin*TMath::Sin(theta);
// printf("plane %i nseg=%i z=%f:n", i,n,z);
for (j = 0; j < n; j++)
{
phi = (fPhi1+j*dphi)*kDegRad;
cphi = TMath::Cos(phi);
sphi = TMath::Sin(phi);
buff[indx++] = zi * cphi;
buff[indx++] = zi * sphi;
buff[indx++] = z;
// printf("%i %f %f %fn", j, buff[3*j], buff[3*j+1], buff[3*j+2]);
}
z = fRmax * TMath::Cos(theta);
zi = fRmax* TMath::Sin(theta);
// printf("outer points for plane %i:n", i);
for (j = 0; j < n; j++)
{
phi = (fPhi1+j*dphi)*kDegRad;
cphi = TMath::Cos(phi);
sphi = TMath::Sin(phi);
buff[indx++] = zi * cphi;
buff[indx++] = zi * sphi;
buff[indx++] = z;
// printf("%i %f %f %fn", j, buff[n+3*j], buff[n+3*j+1], buff[n+3*j+2]);
}
}
}
}
//-----------------------------------------------------------------------------
void TGeoSphere::SetPoints(Float_t *buff) const
{
// create sphere mesh points
Int_t i,j ;
if (buff) {
Double_t dphi = fPhi2-fPhi1;
if (dphi<0) dphi+=360;
Double_t dtheta = fTheta2-fTheta1;
Int_t n = fNseg + 1;
dphi = dphi/fNseg;
dtheta = dtheta/fNz;
Double_t z, theta, phi, cphi, sphi;
Int_t indx=0;
for (i = 0; i < fNz+1; i++)
{
theta = (fTheta1+i*dtheta)*kDegRad;
z = fRmin * TMath::Cos(theta); // fSinPhiTab[i];
Float_t zi = fRmin*TMath::Sin(theta);
// printf("plane %i nseg=%i z=%f:n", i,n,z);
for (j = 0; j < n; j++)
{
phi = (fPhi1+j*dphi)*kDegRad;
cphi = TMath::Cos(phi);
sphi = TMath::Sin(phi);
buff[indx++] = zi * cphi;
buff[indx++] = zi * sphi;
buff[indx++] = z;
// printf("%i %f %f %fn", j, buff[3*j], buff[3*j+1], buff[3*j+2]);
}
z = fRmax * TMath::Cos(theta);
zi = fRmax* TMath::Sin(theta);
// printf("outer points for plane %i:n", i);
for (j = 0; j < n; j++)
{
phi = (fPhi1+j*dphi)*kDegRad;
cphi = TMath::Cos(phi);
sphi = TMath::Sin(phi);
buff[indx++] = zi * cphi;
buff[indx++] = zi * sphi;
buff[indx++] = z;
// printf("%i %f %f %fn", j, buff[n+3*j], buff[n+3*j+1], buff[n+3*j+2]);
}
}
}
}
//-----------------------------------------------------------------------------
void TGeoSphere::Sizeof3D() const
{
// fill size of this 3-D object
TVirtualGeoPainter *painter = gGeoManager->GetGeomPainter();
if (!painter) return;
Int_t n;
n = fNseg+1;
Int_t nz = fNz+1;
Bool_t specialCase = kFALSE;
if (TMath::Abs(TMath::Sin(2*(fPhi2 - fPhi1))) <= 0.01) //mark this as a very special case, when
specialCase = kTRUE; //we have to draw this PCON like a TUBE
Int_t numPoints = 2*n*nz;
Int_t numSegs = 4*(nz*n-1+(specialCase == kTRUE));
Int_t numPolys = 2*(nz*n-1+(specialCase == kTRUE));
painter->AddSize3D(numPoints, numSegs, numPolys);
}
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