* provided "as is" without express or implied warranty. *
**************************************************************************/
-/* $Id$ */
-#include <stdio.h>
-#include <stdlib.h>
-// General Root includes
+/*
+ $Id$
+*/
+
+
+////////////////////////////////////////////////////////////////////////
+// This class is a base class for the ITS geometry version 11. It
+// contains common/standard functions used in many places in defining
+// the ITS geometry, version 11. Large posions of the ITS geometry,
+// version 11, should be derived from this class so as to make maximum
+// use of these common functions. This class also defines the proper
+// conversion valuse such, to cm and degrees, such that the most usefull
+// units, those used in the Engineering drawings, can be used.
+////////////////////////////////////////////////////////////////////////
+
+
#include <Riostream.h>
#include <TMath.h>
-#include <float.h>
-#include <TFile.h> // only required for Tracking function?
-#include <TObjArray.h>
-#include <TClonesArray.h>
-#include <TLorentzVector.h>
-#include <TObjString.h>
-// Root Geometry includes
-#include <TGeoManager.h>
-#include <TGeoVolume.h>
+#include <TArc.h>
+#include <TLine.h>
+#include <TArrow.h>
+#include <TCanvas.h>
+#include <TText.h>
#include <TGeoPcon.h>
#include <TGeoCone.h>
#include <TGeoTube.h> // contaings TGeoTubeSeg
#include <TGeoArb8.h>
-#include <TGeoCompositeShape.h>
-#include <TGeoMatrix.h>
-#include <TGeoNode.h>
-#include <TGeoMaterial.h>
-#include <TGeoMedium.h>
-#include "AliITSBaseGeometry.h"
+#include <TPolyMarker.h>
+#include <TPolyLine.h>
#include "AliITSv11Geometry.h"
ClassImp(AliITSv11Geometry)
+
+const Double_t AliITSv11Geometry::fgkmicron = 1.0E-4;
+const Double_t AliITSv11Geometry::fgkmm = 0.10;
+const Double_t AliITSv11Geometry::fgkcm = 1.00;
+const Double_t AliITSv11Geometry::fgkDegree = 1.0;
+const Double_t AliITSv11Geometry::fgkRadian = 180./3.14159265358979323846;
+const Double_t AliITSv11Geometry::fgkgcm3 = 1.0; // assume default is g/cm^3
+const Double_t AliITSv11Geometry::fgkCelsius = 1.0; // Assume default is C
+const Double_t AliITSv11Geometry::fgkPascal = 1.0E-3; // Assume kPascal
+const Double_t AliITSv11Geometry::fgkKPascal = 1.0; // Asume kPascal
+const Double_t AliITSv11Geometry::fgkeV = 1.0E-9; // GeV default
+const Double_t AliITSv11Geometry::fgkKeV = 1.0e-6; // GeV default
+const Double_t AliITSv11Geometry::fgkMeV = 1.0e-3; // GeV default
+const Double_t AliITSv11Geometry::fgkGeV = 1.0; // GeV default
+//______________________________________________________________________
+Double_t AliITSv11Geometry::Yfrom2Points(Double_t x0,Double_t y0,
+ Double_t x1,Double_t y1,
+ Double_t x)const{
+ // Given the two points (x0,y0) and (x1,y1) and the location x, returns
+ // the value y corresponding to that point x on the line defined by the
+ // two points.
+ // Inputs:
+ // Double_t x0 The first x value defining the line
+ // Double_t y0 The first y value defining the line
+ // Double_t x1 The second x value defining the line
+ // Double_t y1 The second y value defining the line
+ // Double_t x The x value for which the y value is wanted.
+ // Outputs:
+ // none.
+ // Return:
+ // The value y corresponding to the point x on the line defined by
+ // the two points (x0,y0) and (x1,y1).
+
+ if(x0==x1 && y0==y1) {
+ printf("Error: AliITSv11Geometry::Yfrom2Ponts The two points are "
+ "the same (%e,%e) and (%e,%e)",x0,y0,x1,y1);
+ return 0.0;
+ } // end if
+ if(x0==x1){
+ printf("Warning: AliITSv11Geometry::Yfrom2Points x0=%e == x1=%e. "
+ "line vertical ""returning mean y",x0,x1);
+ return 0.5*(y0+y1);
+ }// end if x0==x1
+ Double_t m = (y0-y1)/(x0-x1);
+ return m*(x-x0)+y0;
+}
//______________________________________________________________________
-Double_t AliITSv11Geometry::RmaxFrom2Points(TGeoPcon *p,Int_t i1,Int_t i2,Double_t z){
+Double_t AliITSv11Geometry::Xfrom2Points(Double_t x0,Double_t y0,
+ Double_t x1,Double_t y1,
+ Double_t y)const{
+ // Given the two points (x0,y0) and (x1,y1) and the location y, returns
+ // the value x corresponding to that point y on the line defined by the
+ // two points.
+ // Inputs:
+ // Double_t x0 The first x value defining the line
+ // Double_t y0 The first y value defining the line
+ // Double_t x1 The second x value defining the line
+ // Double_t y1 The second y value defining the line
+ // Double_t y The y value for which the x value is wanted.
+ // Outputs:
+ // none.
+ // Return:
+ // The value x corresponding to the point y on the line defined by
+ // the two points (x0,y0) and (x1,y1).
+
+ if(x0==x1 && y0==y1) {
+ printf("Error: AliITSv11Geometry::Yfrom2Ponts The two points are "
+ "the same (%e,%e) and (%e,%e)",x0,y0,x1,y1);
+ return 0.0;
+ } // end if
+ if(y0==y1){
+ printf("Warrning: AliITSv11Geometry::Yfrom2Points y0=%e == y1=%e. "
+ "line horizontal returning mean x",y0,y1);
+ return 0.5*(x0+x1);
+ }// end if y0==y1
+ Double_t m = (x0-x1)/(y0-y1);
+ return m*(y-y0)+x0;
+}
+//______________________________________________________________________
+Double_t AliITSv11Geometry::RmaxFrom2Points(const TGeoPcon *p,Int_t i1,
+ Int_t i2,Double_t z)const{
// functions Require at parts of Volume A to be already defined.
// Retruns the value of Rmax corresponding to point z alone the line
// defined by the two points p.Rmax(i1),p-GetZ(i1) and p->GetRmax(i2),
// p->GetZ(i2).
+ // Inputs:
+ // TGeoPcon *p The Polycone where the two points come from
+ // Int_t i1 Point 1
+ // Int_t i2 Point 2
+ // Double_t z The value of z for which Rmax is to be found
+ // Outputs:
+ // none.
+ // Return:
+ // Double_t Rmax the value corresponding to z
Double_t d0,d1,d2,r;
d0 = p->GetRmax(i1)-p->GetRmax(i2);// cout <<"L263: d0="<<d0<<endl;
return r;
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::RminFrom2Points(TGeoPcon *p,Int_t i1,Int_t i2,Double_t z){
+Double_t AliITSv11Geometry::RminFrom2Points(const TGeoPcon *p,Int_t i1,
+ Int_t i2,Double_t z)const{
// Retruns the value of Rmin corresponding to point z alone the line
// defined by the two points p->GetRmin(i1),p->GetZ(i1) and
// p->GetRmin(i2), p->GetZ(i2).
+ // Inputs:
+ // TGeoPcon *p The Polycone where the two points come from
+ // Int_t i1 Point 1
+ // Int_t i2 Point 2
+ // Double_t z The value of z for which Rmax is to be found
+ // Outputs:
+ // none.
+ // Return:
+ // Double_t Rmax the value corresponding to z
return p->GetRmin(i2)+(p->GetRmin(i1)-p->GetRmin(i2))*(z-p->GetZ(i2))/
(p->GetZ(i1)-p->GetZ(i2));
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::RFrom2Points(Double_t *p,Double_t *Z,Int_t i1,
- Int_t i2,Double_t z){
+Double_t AliITSv11Geometry::RFrom2Points(const Double_t *p,const Double_t *az,
+ Int_t i1,Int_t i2,Double_t z)const{
// Retruns the value of Rmin corresponding to point z alone the line
// defined by the two points p->GetRmin(i1),p->GetZ(i1) and
// p->GetRmin(i2), p->GetZ(i2).
+ // Inputs:
+ // Double_t az Array of z values
+ // Double_t r Array of r values
+ // Int_t i1 First Point in arrays
+ // Int_t i2 Second Point in arrays
+ // Double_t z Value z at which r is to be found
+ // Outputs:
+ // none.
+ // Return:
+ // The value r corresponding to z and the line defined by the two points
- return p[i2]+(p[i1]-p[i2])*(z-Z[i2])/(Z[i1]-Z[i2]);
+ return p[i2]+(p[i1]-p[i2])*(z-az[i2])/(az[i1]-az[i2]);
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::Zfrom2MinPoints(TGeoPcon *p,Int_t i1,Int_t i2,Double_t r){
+Double_t AliITSv11Geometry::Zfrom2MinPoints(const TGeoPcon *p,Int_t i1,
+ Int_t i2,Double_t r)const{
// Retruns the value of Z corresponding to point R alone the line
// defined by the two points p->GetRmin(i1),p->GetZ(i1) and
// p->GetRmin(i2),p->GetZ(i2)
+ // Inputs:
+ // TGeoPcon *p The Poly cone where the two points come from.
+ // Int_t i1 First Point in arrays
+ // Int_t i2 Second Point in arrays
+ // Double_t r Value r min at which z is to be found
+ // Outputs:
+ // none.
+ // Return:
+ // The value z corresponding to r min and the line defined by
+ // the two points
return p->GetZ(i2)+(p->GetZ(i1)-p->GetZ(i2))*(r-p->GetRmin(i2))/
(p->GetRmin(i1)-p->GetRmin(i2));
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::Zfrom2MaxPoints(TGeoPcon *p,Int_t i1,Int_t i2,Double_t r){
+Double_t AliITSv11Geometry::Zfrom2MaxPoints(const TGeoPcon *p,Int_t i1,
+ Int_t i2,Double_t r)const{
// Retruns the value of Z corresponding to point R alone the line
// defined by the two points p->GetRmax(i1),p->GetZ(i1) and
// p->GetRmax(i2),p->GetZ(i2)
+ // Inputs:
+ // TGeoPcon *p The Poly cone where the two points come from.
+ // Int_t i1 First Point in arrays
+ // Int_t i2 Second Point in arrays
+ // Double_t r Value r max at which z is to be found
+ // Outputs:
+ // none.
+ // Return:
+ // The value z corresponding to r max and the line defined by
+ // the two points
return p->GetZ(i2)+(p->GetZ(i1)-p->GetZ(i2))*(r-p->GetRmax(i2))/
(p->GetRmax(i1)-p->GetRmax(i2));
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::Zfrom2Points(Double_t *Z,Double_t *p,Int_t i1,
- Int_t i2,Double_t r){
- // Retruns the value of Z corresponding to point R alone the line
+Double_t AliITSv11Geometry::Zfrom2Points(const Double_t *z,const Double_t *ar,
+ Int_t i1,Int_t i2,Double_t r)const{
+ // Retruns the value of z corresponding to point R alone the line
// defined by the two points p->GetRmax(i1),p->GetZ(i1) and
// p->GetRmax(i2),p->GetZ(i2)
+ // Inputs:
+ // Double_t z Array of z values
+ // Double_t ar Array of r values
+ // Int_t i1 First Point in arrays
+ // Int_t i2 Second Point in arrays
+ // Double_t r Value r at which z is to be found
+ // Outputs:
+ // none.
+ // Return:
+ // The value z corresponding to r and the line defined by the two points
- return Z[i2]+(Z[i1]-Z[i2])*(r-p[i2])/(p[i1]-p[i2]);
+ return z[i2]+(z[i1]-z[i2])*(r-ar[i2])/(ar[i1]-ar[i2]);
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::RmaxFromZpCone(TGeoPcon *p,int ip,Double_t tc,Double_t z,
- Double_t th){
- // General SSD Outer Cone surface equation Rmax.
+Double_t AliITSv11Geometry::RmaxFromZpCone(const TGeoPcon *p,int ip,
+ Double_t tc,Double_t z,
+ Double_t th)const{
+ // General Outer Cone surface equation Rmax.
+ // Intputs:
+ // TGeoPcon *p The poly cone where the initial point comes from
+ // Int_t ip The index in p to get the point location
+ // Double_t tc The angle of that part of the cone is at
+ // Double_t z The value of z to compute Rmax from
+ // Double_t th The perpendicular distance the parralell line is
+ // from the point ip.
+ // Outputs:
+ // none.
+ // Return:
+ // The value Rmax correstponding to the line at angle th, offeset by
+ // th, and the point p->GetZ/Rmin[ip] at the location z.
Double_t tantc = TMath::Tan(tc*TMath::DegToRad());
Double_t costc = TMath::Cos(tc*TMath::DegToRad());
return -tantc*(z-p->GetZ(ip))+p->GetRmax(ip)+th/costc;
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::RFromZpCone(Double_t *GetRmax,Double_t *GetZ,int ip,
- Double_t tc,Double_t z,Double_t th){
- // General SSD Outer Cone surface equation Rmax.
+Double_t AliITSv11Geometry::RFromZpCone(const Double_t *ar,
+ const Double_t *az,int ip,
+ Double_t tc,Double_t z,
+ Double_t th)const{
+ // General Cone surface equation R(z).
+ // Intputs:
+ // Double_t ar The array of R values
+ // Double_t az The array of Z values
+ // Int_t ip The index in p to get the point location
+ // Double_t tc The angle of that part of the cone is at
+ // Double_t z The value of z to compute R from
+ // Double_t th The perpendicular distance the parralell line is
+ // from the point ip.
+ // Outputs:
+ // none.
+ // Return:
+ // The value R correstponding to the line at angle th, offeset by
+ // th, and the point p->GetZ/Rmax[ip] at the locatin z.
Double_t tantc = TMath::Tan(tc*TMath::DegToRad());
Double_t costc = TMath::Cos(tc*TMath::DegToRad());
- return -tantc*(z-GetZ[ip])+GetRmax[ip]+th/costc;
+ return -tantc*(z-az[ip])+ar[ip]+th/costc;
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::RminFromZpCone(TGeoPcon *p,Int_t ip,Double_t tc,Double_t z,
- Double_t th){
- // General SSD Inner Cone surface equation Rmin.
+Double_t AliITSv11Geometry::RminFromZpCone(const TGeoPcon *p,Int_t ip,
+ Double_t tc,Double_t z,
+ Double_t th)const{
+ // General Inner Cone surface equation Rmin.
+ // Intputs:
+ // TGeoPcon *p The poly cone where the initial point comes from
+ // Int_t ip The index in p to get the point location
+ // Double_t tc The angle of that part of the cone is at
+ // Double_t z The value of z to compute Rmin from
+ // Double_t th The perpendicular distance the parralell line is
+ // from the point ip.
+ // Outputs:
+ // none.
+ // Return:
+ // The value Rmin correstponding to the line at angle th, offeset by
+ // th, and the point p->GetZ/Rmin[ip] at the location z.
Double_t tantc = TMath::Tan(tc*TMath::DegToRad());
Double_t costc = TMath::Cos(tc*TMath::DegToRad());
return -tantc*(z-p->GetZ(ip))+p->GetRmin(ip)+th/costc;
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::ZFromRmaxpCone(TGeoPcon *p,int ip,Double_t tc,Double_t r,
- Double_t th){
- // General SSD Outer cone Surface equation for z.
+Double_t AliITSv11Geometry::ZFromRmaxpCone(const TGeoPcon *p,int ip,
+ Double_t tc,Double_t r,
+ Double_t th)const{
+ // General Outer cone Surface equation for z.
+ // Intputs:
+ // TGeoPcon *p The poly cone where the initial point comes from
+ // Int_t ip The index in p to get the point location
+ // Double_t tc The angle of that part of the cone is at
+ // Double_t r The value of Rmax to compute z from
+ // Double_t th The perpendicular distance the parralell line is
+ // from the point ip.
+ // Outputs:
+ // none.
+ // Return:
+ // The value Z correstponding to the line at angle th, offeset by
+ // th, and the point p->GetZ/Rmax[ip] at the location r.
Double_t tantc = TMath::Tan(tc*TMath::DegToRad());
Double_t costc = TMath::Cos(tc*TMath::DegToRad());
return p->GetZ(ip)+(p->GetRmax(ip)+th/costc-r)/tantc;
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::ZFromRmaxpCone(Double_t *GetRmax,Double_t *GetZ,int ip,
- Double_t tc,Double_t r,Double_t th){
- // General SSD Outer cone Surface equation for z.
+Double_t AliITSv11Geometry::ZFromRmaxpCone(const Double_t *ar,
+ const Double_t *az,int ip,
+ Double_t tc,Double_t r,
+ Double_t th)const{
+ // General Outer cone Surface equation for z.
+ // Intputs:
+ // Double_t ar The array of R values
+ // Double_t az The array of Z values
+ // Int_t ip The index in p to get the point location
+ // Double_t tc The angle of that part of the cone is at
+ // Double_t r The value of Rmax to compute z from
+ // Double_t th The perpendicular distance the parralell line is
+ // from the point ip.
+ // Outputs:
+ // none.
+ // Return:
+ // The value Z correstponding to the line at angle th, offeset by
+ // th, and the point p->GetZ/Rmax[ip] at the locatin r.
Double_t tantc = TMath::Tan(tc*TMath::DegToRad());
Double_t costc = TMath::Cos(tc*TMath::DegToRad());
- return GetZ[ip]+(GetRmax[ip]+th/costc-r)/tantc;
+ return az[ip]+(ar[ip]+th/costc-r)/tantc;
}
//______________________________________________________________________
-Double_t AliITSv11Geometry::ZFromRminpCone(TGeoPcon *p,int ip,Double_t tc,Double_t r,
- Double_t th){
- // General SSD Inner cone Surface equation for z.
+Double_t AliITSv11Geometry::ZFromRminpCone(const TGeoPcon *p,int ip,
+ Double_t tc,Double_t r,
+ Double_t th)const{
+ // General Inner cone Surface equation for z.
+ // Intputs:
+ // TGeoPcon *p The poly cone where the initial point comes from
+ // Int_t ip The index in p to get the point location
+ // Double_t tc The angle of that part of the cone is at
+ // Double_t r The value of Rmin to compute z from
+ // Double_t th The perpendicular distance the parralell line is
+ // from the point ip.
+ // Outputs:
+ // none.
+ // Return:
+ // The value Z correstponding to the line at angle th, offeset by
+ // th, and the point p->GetZ/Rmin[ip] at the location r.
Double_t tantc = TMath::Tan(tc*TMath::DegToRad());
Double_t costc = TMath::Cos(tc*TMath::DegToRad());
return p->GetZ(ip)+(p->GetRmin(ip)+th/costc-r)/tantc;
}
//______________________________________________________________________
-void AliITSv11Geometry::RadiusOfCurvature(Double_t rc,Double_t theta0,Double_t z0,
- Double_t r0,Double_t theta1,Double_t &z1,
- Double_t &r1){
+void AliITSv11Geometry::RadiusOfCurvature(Double_t rc,Double_t theta0,
+ Double_t z0,Double_t r0,
+ Double_t theta1,Double_t &z1,
+ Double_t &r1)const{
// Given a initial point z0,r0, the initial angle theta0, and the radius
// of curvature, returns the point z1, r1 at the angle theta1. Theta
// measured from the r axis in the clock wise direction [degrees].
- Double_t sin0 = TMath::Sin(theta0*TMath::DegToRad());
- Double_t cos0 = TMath::Cos(theta0*TMath::DegToRad());
- Double_t sin1 = TMath::Sin(theta1*TMath::DegToRad());
- Double_t cos1 = TMath::Cos(theta1*TMath::DegToRad());
+ // Inputs:
+ // Double_t rc The radius of curvature
+ // Double_t theta0 The starting angle (degrees)
+ // Double_t z0 The value of z at theta0
+ // Double_t r0 The value of r at theta0
+ // Double_t theta1 The ending angle (degrees)
+ // Outputs:
+ // Double_t &z1 The value of z at theta1
+ // Double_t &r1 The value of r at theta1
+ // Return:
+ // none.
- z1 = rc*(sin1-sin0)+z0;
- r1 = rc*(cos1-cos0)+r0;
+ z1 = rc*(TMath::Sin(theta1*TMath::DegToRad())-TMath::Sin(theta0*TMath::DegToRad()))+z0;
+ r1 = rc*(TMath::Cos(theta1*TMath::DegToRad())-TMath::Cos(theta0*TMath::DegToRad()))+r0;
return;
}
//______________________________________________________________________
-void AliITSv11Geometry::InsidePoint(TGeoPcon *p,Int_t i1,Int_t i2,Int_t i3,
- Double_t c,TGeoPcon *q,Int_t j1,Bool_t max){
+void AliITSv11Geometry::InsidePoint(const TGeoPcon *p,Int_t i1,Int_t i2,
+ Int_t i3,Double_t c,TGeoPcon *q,Int_t j1,
+ Bool_t max)const{
// Given two lines defined by the points i1, i2,i3 in the TGeoPcon
// class p that intersect at point p->GetZ(i2) return the point z,r
// that is Cthick away in the TGeoPcon class q. If points i1=i2
return;
}
//----------------------------------------------------------------------
-void AliITSv11Geometry::InsidePoint(Double_t x0,Double_t y0,Double_t x1,Double_t y1,
- Double_t x2,Double_t y2,Double_t c,
- Double_t &x,Double_t &y){
+void AliITSv11Geometry::InsidePoint(Double_t x0,Double_t y0,
+ Double_t x1,Double_t y1,
+ Double_t x2,Double_t y2,Double_t c,
+ Double_t &x,Double_t &y)const{
// Given two intersecting lines defined by the points (x0,y0), (x1,y1) and
- // (x1,y1), (x1,y2) {intersecting at (x1,y1)} the point (x,y) a distance
+ // (x1,y1), (x2,y2) {intersecting at (x1,y1)} the point (x,y) a distance
// c away is returned such that two lines a distance c away from the
// lines defined above intersect at (x,y).
// Inputs:
// Double_t y Y point for the intersecting sets of parellel lines
// Return:
// none.
- Double_t dx01,dx12,dy01,dy12,R01,R12,m;
+ Double_t dx01,dx12,dy01,dy12,r01,r12,m;
+
+ //printf("InsidePoint: x0=% #12.7g y0=% #12.7g x1=% #12.7g y1=% #12.7g "
+ // "x2=% #12.7g y2=% #12.7g c=% #12.7g ",x0,y0,x1,y2,x2,y2,c);
dx01 = x0-x1; //cout <<"L410 dx01="<<dx01<<endl;
dx12 = x1-x2; //cout <<"L411 dx12="<<dx12<<endl;
dy01 = y0-y1; //cout <<"L412 dy01="<<dy01<<endl;
dy12 = y1-y2; //cout <<"L413 dy12="<<dy12<<endl;
- R01 = TMath::Sqrt(dy01*dy01+dx01*dx01); //cout <<"L414 R01="<<R01<<endl;
- R12 = TMath::Sqrt(dy12*dy12+dx12*dx12); //cout <<"L415 R12="<<R12<<endl;
+ r01 = TMath::Sqrt(dy01*dy01+dx01*dx01); //cout <<"L414 r01="<<r01<<endl;
+ r12 = TMath::Sqrt(dy12*dy12+dx12*dx12); //cout <<"L415 r12="<<r12<<endl;
m = dx12*dy01-dy12*dx01;
if(m*m<DBL_EPSILON){ // m == n
if(dy01==0.0){ // line are =
x = x1+c; //cout <<"L419 x="<<x<<endl;
y = y1; //cout <<"L420 y="<<y<<endl;
+ //printf("dy01==0.0 x=% #12.7g y=% #12.7g\n",x,y);
return;
}else if(dx01==0.0){
x = x1;
y = y1+c;
+ //printf("dx01==0.0 x=% #12.7g y=% #12.7g\n",x,y);
return;
}else{ // dx01!=0 and dy01 !=0.
- x = x1-0.5*c*R01/dy01; //cout <<"L434 x="<<x<<endl;
- y = y1+0.5*c*R01/dx01; //cout <<"L435 y="<<y<<endl;
+ x = x1-0.5*c*r01/dy01; //cout <<"L434 x="<<x<<endl;
+ y = y1+0.5*c*r01/dx01; //cout <<"L435 y="<<y<<endl;
+ //printf("m*m<DBL_E x=% #12.7g y=% #12.7g\n",x,y);
} // end if
return;
} //
- x = x1-c*(dx12*R01-dx01*R12)/m; //cout <<"L442 x="<<x<<endl;
- y = y1-c*(dy12*R01-dy01*R12)/m; //cout <<"L443 y="<<y<<endl;
+ x = x1+c*(dx12*r01-dx01*r12)/m; //cout <<"L442 x="<<x<<endl;
+ y = y1+c*(dy12*r01-dy01*r12)/m; //cout <<"L443 y="<<y<<endl;
+ //printf(" x=% #12.7g y=% #12.7g\n",x,y);
//cout <<"=============================================="<<endl;
return;
}
//----------------------------------------------------------------------
-void AliITSv11Geometry:: printArb8(TGeoArb8 *A){
- if(GetDebug()){
- cout << A->GetName() << ":";
- for(Int_t iii=0;iii<8;iii+=2){
- cout <<"("<<A->GetVertices()[iii]<<","
- <<A->GetVertices()[iii+1]<<","<<-A->GetDz()<<")";
- } // end for iii
- for(Int_t iii=8;iii<16;iii+=2){
- cout <<"("<<A->GetVertices()[iii]<<","
- <<A->GetVertices()[iii+1]<<","<<A->GetDz()<<")";
- } // end for iii
- cout << endl;
- } // end if
+void AliITSv11Geometry:: PrintArb8(const TGeoArb8 *a)const{
+ // Prints out the content of the TGeoArb8. Usefull for debugging.
+ // Inputs:
+ // TGeoArb8 *a
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+
+ if(!GetDebug()) return;
+ printf("%s",a->GetName());
+ a->InspectShape();
+ return;
}
//----------------------------------------------------------------------
-void AliITSv11Geometry:: printPcon(TGeoPcon *A){
- if(GetDebug()) return;
- cout << A->GetName() << ": N=" << A->GetNz() << " Phi1=" << A->GetPhi1()
- << ", Dphi=" << A->GetDphi() << endl;
+void AliITSv11Geometry:: PrintPcon(const TGeoPcon *a)const{
+ // Prints out the content of the TGeoPcon. Usefull for debugging.
+ // Inputs:
+ // TGeoPcon *a
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+
+ if(!GetDebug()) return;
+ cout << a->GetName() << ": N=" << a->GetNz() << " Phi1=" << a->GetPhi1()
+ << ", Dphi=" << a->GetDphi() << endl;
cout << "i\t Z \t Rmin \t Rmax" << endl;
- for(Int_t iii=0;iii<A->GetNz();iii++){
- cout << iii << "\t" << A->GetZ(iii) << "\t" << A->GetRmin(iii)
- << "\t" << A->GetRmax(iii) << endl;
+ for(Int_t iii=0;iii<a->GetNz();iii++){
+ cout << iii << "\t" << a->GetZ(iii) << "\t" << a->GetRmin(iii)
+ << "\t" << a->GetRmax(iii) << endl;
} // end for iii
+ return;
}
//----------------------------------------------------------------------
-void AliITSv11Geometry::printTube(TGeoTube *A){
- if(GetDebug()) return;
- cout << A->GetName() <<": Rmin="<<A->GetRmin()
- <<" Rmax=" <<A->GetRmax()<<" Dz="<<A->GetDz()<<endl;
+void AliITSv11Geometry::PrintTube(const TGeoTube *a)const{
+ // Prints out the content of the TGeoTube. Usefull for debugging.
+ // Inputs:
+ // TGeoTube *a
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+
+ if(!GetDebug()) return;
+ cout << a->GetName() <<": Rmin="<<a->GetRmin()
+ <<" Rmax=" <<a->GetRmax()<<" Dz="<<a->GetDz()<<endl;
+ return;
}
//----------------------------------------------------------------------
-void AliITSv11Geometry::printTubeSeg(TGeoTubeSeg *A){
- if(GetDebug()) return;
- cout << A->GetName() <<": Phi1="<<A->GetPhi1()<<
- " Phi2="<<A->GetPhi2()<<" Rmin="<<A->GetRmin()
- <<" Rmax=" <<A->GetRmax()<<" Dz="<<A->GetDz()<<endl;
+void AliITSv11Geometry::PrintTubeSeg(const TGeoTubeSeg *a)const{
+ // Prints out the content of the TGeoTubeSeg. Usefull for debugging.
+ // Inputs:
+ // TGeoTubeSeg *a
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+
+ if(!GetDebug()) return;
+ cout << a->GetName() <<": Phi1="<<a->GetPhi1()<<
+ " Phi2="<<a->GetPhi2()<<" Rmin="<<a->GetRmin()
+ <<" Rmax=" <<a->GetRmax()<<" Dz="<<a->GetDz()<<endl;
+ return;
}
//----------------------------------------------------------------------
-void AliITSv11Geometry::printConeSeg(TGeoConeSeg *A){
- if(GetDebug()) return;
- cout << A->GetName() <<": Phi1="<<A->GetPhi1()<<
- " Phi2="<<A->GetPhi2()<<" Rmin1="<<A->GetRmin1()
- <<" Rmax1=" <<A->GetRmax1()<<" Rmin2="<<A->GetRmin2()
- <<" Rmax2=" <<A->GetRmax2()<<" Dz="<<A->GetDz()<<endl;
+void AliITSv11Geometry::PrintConeSeg(const TGeoConeSeg *a)const{
+ // Prints out the content of the TGeoConeSeg. Usefull for debugging.
+ // Inputs:
+ // TGeoConeSeg *a
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+
+ if(!GetDebug()) return;
+ cout << a->GetName() <<": Phi1="<<a->GetPhi1()<<
+ " Phi2="<<a->GetPhi2()<<" Rmin1="<<a->GetRmin1()
+ <<" Rmax1=" <<a->GetRmax1()<<" Rmin2="<<a->GetRmin2()
+ <<" Rmax2=" <<a->GetRmax2()<<" Dz="<<a->GetDz()<<endl;
+ return;
+}
+//----------------------------------------------------------------------
+void AliITSv11Geometry::PrintBBox(const TGeoBBox *a)const{
+ // Prints out the content of the TGeoBBox. Usefull for debugging.
+ // Inputs:
+ // TGeoBBox *a
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+
+ if(!GetDebug()) return;
+ cout << a->GetName() <<": Dx="<<a->GetDX()<<
+ " Dy="<<a->GetDY()<<" Dz="<<a->GetDZ() <<endl;
+ return;
+}
+//---------------------------------------------------------------------
+void AliITSv11Geometry::DrawCrossSection(const TGeoPcon *p,
+ Int_t fillc,Int_t fills,
+ Int_t linec,Int_t lines,Int_t linew,
+ Int_t markc,Int_t marks,Float_t marksize)const{
+ // Draws a cross sectional view of the TGeoPcon, Primarily for debugging.
+ // A TCanvas should exist first.
+ // Inputs:
+ // TGeoPcon *p The TGeoPcon to be "drawn"
+ // Int_t fillc The fill color to be used
+ // Int_t fills The fill style to be used
+ // Int_t linec The line color to be used
+ // Int_t lines The line style to be used
+ // Int_t linew The line width to be used
+ // Int_t markc The markder color to be used
+ // Int_t marks The markder style to be used
+ // Float_t marksize The marker size
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+ Int_t n=0,m=0,i=0;
+ Double_t *z=0,*r=0;
+ TPolyMarker *pts=0;
+ TPolyLine *line=0;
+
+ n = p->GetNz();
+ if(n<=0) return;
+ m = 2*n+1;
+ z = new Double_t[m];
+ r = new Double_t[m];
+
+ for(i=0;i<n;i++){
+ z[i] = p->GetZ(i);
+ r[i] = p->GetRmax(i);
+ z[i+n] = p->GetZ(n-1-i);
+ r[i+n] = p->GetRmin(n-1-i);
+ } // end for i
+ z[n-1] = z[0];
+ r[n-1] = r[0];
+
+ line = new TPolyLine(n,z,r);
+ pts = new TPolyMarker(n,z,r);
+
+ line->SetFillColor(fillc);
+ line->SetFillStyle(fills);
+ line->SetLineColor(linec);
+ line->SetLineStyle(lines);
+ line->SetLineWidth(linew);
+ pts->SetMarkerColor(markc);
+ pts->SetMarkerStyle(marks);
+ pts->SetMarkerSize(marksize);
+
+ line->Draw("f");
+ line->Draw();
+ pts->Draw();
+
+ delete[] z;
+ delete[] r;
+
+ cout<<"Hit Return to continue"<<endl;
+ cin >> n;
+ delete line;
+ delete pts;
+ return;
+}
+//______________________________________________________________________
+Bool_t AliITSv11Geometry::AngleOfIntersectionWithLine(Double_t x0,Double_t y0,
+ Double_t x1,Double_t y1,
+ Double_t xc,Double_t yc,
+ Double_t rc,Double_t &t0,
+ Double_t &t1)const{
+ // Computes the angles, t0 and t1 corresponding to the intersection of
+ // the line, defined by {x0,y0} {x1,y1}, and the circle, defined by
+ // its center {xc,yc} and radius r. If the line does not intersect the
+ // line, function returns kFALSE, otherwise it returns kTRUE. If the
+ // line is tangent to the circle, the angles t0 and t1 will be the same.
+ // Inputs:
+ // Double_t x0 X of first point defining the line
+ // Double_t y0 Y of first point defining the line
+ // Double_t x1 X of Second point defining the line
+ // Double_t y1 Y of Second point defining the line
+ // Double_t xc X of Circle center point defining the line
+ // Double_t yc Y of Circle center point defining the line
+ // Double_t r radius of circle
+ // Outputs:
+ // Double_t &t0 First angle where line intersects circle
+ // Double_t &t1 Second angle where line intersects circle
+ // Return:
+ // kTRUE, line intersects circle, kFALSE line does not intersect circle
+ // or the line is not properly defined point {x0,y0} and {x1,y1}
+ // are the same point.
+ Double_t dx,dy,cx,cy,s2,t[4];
+ Double_t a0,b0,c0,a1,b1,c1,sinthp,sinthm,costhp,costhm;
+ Int_t i,j;
+
+ t0 = 400.0;
+ t1 = 400.0;
+ dx = x1-x0;
+ dy = y1-y0;
+ cx = xc-x0;
+ cy = yc-y0;
+ s2 = dx*dx+dy*dy;
+ if(s2==0.0) return kFALSE;
+
+ a0 = rc*rc*s2;
+ if(a0==0.0) return kFALSE;
+ b0 = 2.0*rc*dx*(dx*cy-cx*dy);
+ c0 = dx*dx*cy*cy-2.0*dy*dx*cy*cx+cx*cx*dy*dy-rc*rc*dy*dy;
+ c0 = 0.25*b0*b0/(a0*a0)-c0/a0;
+ if(c0<0.0) return kFALSE;
+ sinthp = -0.5*b0/a0+TMath::Sqrt(c0);
+ sinthm = -0.5*b0/a0-TMath::Sqrt(c0);
+
+ a1 = rc*rc*s2;
+ if(a1==0.0) return kFALSE;
+ b1 = 2.0*rc*dy*(dy*cx-dx*cy);
+ c1 = dy*dy*cx*cx-2.0*dy*dx*cy*cx+dx*dx*cy*cy-rc*rc*dx*dx;
+ c1 = 0.25*b1*b1/(a1*a1)-c1/a1;
+ if(c1<0.0) return kFALSE;
+ costhp = -0.5*b1/a1+TMath::Sqrt(c1);
+ costhm = -0.5*b1/a1-TMath::Sqrt(c1);
+
+ t[0] = t[1] = t[2] = t[3] = 400.;
+ a0 = TMath::ATan2(sinthp,costhp); if(a0<0.0) a0 += 2.0*TMath::Pi();
+ a1 = TMath::ATan2(sinthp,costhm); if(a1<0.0) a1 += 2.0*TMath::Pi();
+ b0 = TMath::ATan2(sinthm,costhp); if(b0<0.0) b0 += 2.0*TMath::Pi();
+ b1 = TMath::ATan2(sinthm,costhm); if(b1<0.0) b1 += 2.0*TMath::Pi();
+ x1 = xc+rc*TMath::Cos(a0);
+ y1 = yc+rc*TMath::Sin(a0);
+ s2 = dx*(y1-y0)-dy*(x1-x0);
+ if(s2*s2<DBL_EPSILON) t[0] = a0*TMath::RadToDeg();
+ x1 = xc+rc*TMath::Cos(a1);
+ y1 = yc+rc*TMath::Sin(a1);
+ s2 = dx*(y1-y0)-dy*(x1-x0);
+ if(s2*s2<DBL_EPSILON) t[1] = a1*TMath::RadToDeg();
+ x1 = xc+rc*TMath::Cos(b0);
+ y1 = yc+rc*TMath::Sin(b0);
+ s2 = dx*(y1-y0)-dy*(x1-x0);
+ if(s2*s2<DBL_EPSILON) t[2] = b0*TMath::RadToDeg();
+ x1 = xc+rc*TMath::Cos(b1);
+ y1 = yc+rc*TMath::Sin(b1);
+ s2 = dx*(y1-y0)-dy*(x1-x0);
+ if(s2*s2<DBL_EPSILON) t[3] = b1*TMath::RadToDeg();
+ for(i=0;i<4;i++)for(j=i+1;j<4;j++){
+ if(t[i]>t[j]) {t0 = t[i];t[i] = t[j];t[j] = t0;}
+ } // end for i,j
+ t0 = t[0];
+ t1 = t[1];
+ //
+ return kTRUE;
+}
+//______________________________________________________________________
+Double_t AliITSv11Geometry::AngleForRoundedCorners0(Double_t dx,Double_t dy,
+ Double_t sdr)const{
+ // Basic function used to determine the ending angle and starting angles
+ // for rounded corners given the relative distance between the centers
+ // of the circles and the difference/sum of their radii. Case 0.
+ // Inputs:
+ // Double_t dx difference in x locations of the circle centers
+ // Double_t dy difference in y locations of the circle centers
+ // Double_t sdr difference or sum of the circle radii
+ // Outputs:
+ // none.
+ // Return:
+ // the angle in Degrees
+ Double_t a,b;
+
+ b = dy*dy+dx*dx-sdr*sdr;
+ if(b<0.0) Error("AngleForRoundedCorners0",
+ "dx^2(%e)+dy^2(%e)-sdr^2(%e)=b=%e<0",dx,dy,sdr,b);
+ b = TMath::Sqrt(b);
+ a = -sdr*dy+dx*b;
+ b = -sdr*dx-dy*b;
+ return TMath::ATan2(a,b)*TMath::RadToDeg();
+
+}
+//______________________________________________________________________
+Double_t AliITSv11Geometry::AngleForRoundedCorners1(Double_t dx,Double_t dy,
+ Double_t sdr)const{
+ // Basic function used to determine the ending angle and starting angles
+ // for rounded corners given the relative distance between the centers
+ // of the circles and the difference/sum of their radii. Case 1.
+ // Inputs:
+ // Double_t dx difference in x locations of the circle centers
+ // Double_t dy difference in y locations of the circle centers
+ // Double_t sdr difference or sum of the circle radii
+ // Outputs:
+ // none.
+ // Return:
+ // the angle in Degrees
+ Double_t a,b;
+
+ b = dy*dy+dx*dx-sdr*sdr;
+ if(b<0.0) Error("AngleForRoundedCorners1",
+ "dx^2(%e)+dy^2(%e)-sdr^2(%e)=b=%e<0",dx,dy,sdr,b);
+ b = TMath::Sqrt(b);
+ a = -sdr*dy-dx*b;
+ b = -sdr*dx+dy*b;
+ return TMath::ATan2(a,b)*TMath::RadToDeg();
+
}
//----------------------------------------------------------------------
-void AliITSv11Geometry::printBBox(TGeoBBox *A){
- if(GetDebug()) return;
- cout << A->GetName() <<": Dx="<<A->GetDX()<<
- " Dy="<<A->GetDY()<<" Dz="<<A->GetDZ() <<endl;
+void AliITSv11Geometry::AnglesForRoundedCorners(Double_t x0,Double_t y0,
+ Double_t r0,Double_t x1,
+ Double_t y1,Double_t r1,
+ Double_t &t0,Double_t &t1)
+ const{
+ // Function to compute the ending angle, for arc 0, and starting angle,
+ // for arc 1, such that a straight line will connect them with no
+ // discontinuities.
+ //Begin_Html
+ /*
+ <img src="picts/ITS/AliITSv11Geometry_AnglesForRoundedCorners.gif">
+ */
+ //End_Html
+ // Inputs:
+ // Double_t x0 X Coordinate of arc 0 center.
+ // Double_t y0 Y Coordinate of arc 0 center.
+ // Double_t r0 Radius of curvature of arc 0. For signe see figure.
+ // Double_t x1 X Coordinate of arc 1 center.
+ // Double_t y1 Y Coordinate of arc 1 center.
+ // Double_t r1 Radius of curvature of arc 1. For signe see figure.
+ // Outputs:
+ // Double_t t0 Ending angle of arch 0, with respect to x axis, Degrees.
+ // Double_t t1 Starting angle of arch 1, with respect to x axis,
+ // Degrees.
+ // Return:
+ // none.
+ Double_t t;
+
+ if(r0>=0.0&&r1>=0.0) { // Inside to inside ++
+ t = AngleForRoundedCorners1(x1-x0,y1-y0,r1-r0);
+ t0 = t1 = t;
+ return;
+ }else if(r0>=0.0&&r1<=0.0){ // Inside to Outside +-
+ r1 = -r1; // make positive
+ t = AngleForRoundedCorners0(x1-x0,y1-y0,r1+r0);
+ t0 = 180.0 + t;
+ if(t0<0.0) t += 360.;
+ if(t<0.0) t += 360.;
+ t1 = t;
+ return;
+ }else if(r0<=0.0&&r1>=0.0){ // Outside to Inside -+
+ r0 = - r0; // make positive
+ t = AngleForRoundedCorners1(x1-x0,y1-y0,r1+r0);
+ t0 = 180.0 + t;
+ if(t0>180.) t0 -= 360.;
+ if(t >180.) t -= 360.;
+ t1 = t;
+ return;
+ }else if(r0<=0.0&&r1<=0.0) { // Outside to outside --
+ r0 = -r0; // make positive
+ r1 = -r1; // make positive
+ t = AngleForRoundedCorners0(x1-x0,y1-y0,r1-r0);
+ t0 = t1 = t;
+ return;
+ } // end if
+ return;
}
+//----------------------------------------------------------------------
+void AliITSv11Geometry::MakeFigure1(Double_t x0,Double_t y0,Double_t r0,
+ Double_t x1,Double_t y1,Double_t r1){
+ // Function to create the figure discribing how the function
+ // AnglesForRoundedCorners works.
+ //
+ // Inputs:
+ // Double_t x0 X Coordinate of arc 0 center.
+ // Double_t y0 Y Coordinate of arc 0 center.
+ // Double_t r0 Radius of curvature of arc 0. For signe see figure.
+ // Double_t x1 X Coordinate of arc 1 center.
+ // Double_t y1 Y Coordinate of arc 1 center.
+ // Double_t r1 Radius of curvature of arc 1. For signe see figure.
+ // Outputs:
+ // none.
+ // Return:
+ // none.
+ Double_t t0[4],t1[4],xa0[4],ya0[4],xa1[4],ya1[4],ra0[4],ra1[4];
+ Double_t xmin,ymin,xmax,ymax,h;
+ Int_t j;
+
+ for(j=0;j<4;j++) {
+ ra0[j] = r0; if(j%2) ra0[j] = -r0;
+ ra1[j] = r1; if(j>1) ra1[j] = -r1;
+ AnglesForRoundedCorners(x0,y0,ra0[j],x1,y1,ra1[j],t0[j],t1[j]);
+ xa0[j] = TMath::Abs(r0)*CosD(t0[j])+x0;
+ ya0[j] = TMath::Abs(r0)*SinD(t0[j])+y0;
+ xa1[j] = TMath::Abs(r1)*CosD(t1[j])+x1;
+ ya1[j] = TMath::Abs(r1)*SinD(t1[j])+y1;
+ } // end for j
+ if(r0<0.0) r0 = -r0;
+ if(r1<0.0) r1 = -r1;
+ xmin = TMath::Min(x0 - r0,x1-r1);
+ ymin = TMath::Min(y0 - r0,y1-r1);
+ xmax = TMath::Max(x0 + r0,x1+r1);
+ ymax = TMath::Max(y0 + r0,y1+r1);
+ for(j=1;j<4;j++) {
+ xmin = TMath::Min(xmin,xa0[j]);
+ xmin = TMath::Min(xmin,xa1[j]);
+ ymin = TMath::Min(ymin,ya0[j]);
+ ymin = TMath::Min(ymin,ya1[j]);
+ xmax = TMath::Max(xmax,xa0[j]);
+ xmax = TMath::Max(xmax,xa1[j]);
+ ymax = TMath::Max(ymax,ya0[j]);
+ ymax = TMath::Max(ymax,ya1[j]);
+ } // end for j
+ if(xmin<0.0) xmin *= 1.1; else xmin *= 0.9;
+ if(ymin<0.0) ymin *= 1.1; else ymin *= 0.9;
+ if(xmax<0.0) xmax *= 0.9; else xmax *= 1.1;
+ if(ymax<0.0) ymax *= 0.9; else ymax *= 1.1;
+ j = (Int_t)(500.0*(ymax-ymin)/(xmax-xmin));
+ TCanvas *can = new TCanvas("AliITSv11Geometry_AnglesForRoundedCorners",
+ "Figure for AliITSv11Geometry",500,j);
+ h = ymax-ymin; if(h<0) h = -h;
+ can->Range(xmin,ymin,xmax,ymax);
+ TArc *c0 = new TArc(x0,y0,r0);
+ TArc *c1 = new TArc(x1,y1,r1);
+ TLine *line[4];
+ TArrow *ar0[4];
+ TArrow *ar1[4];
+ for(j=0;j<4;j++){
+ ar0[j] = new TArrow(x0,y0,xa0[j],ya0[j]);
+ ar1[j] = new TArrow(x1,y1,xa1[j],ya1[j]);
+ line[j] = new TLine(xa0[j],ya0[j],xa1[j],ya1[j]);
+ ar0[j]->SetLineColor(j+1);
+ ar0[j]->SetArrowSize(0.1*r0/h);
+ ar1[j]->SetLineColor(j+1);
+ ar1[j]->SetArrowSize(0.1*r1/h);
+ line[j]->SetLineColor(j+1);
+ } // end for j
+ c0->Draw();
+ c1->Draw();
+ for(j=0;j<4;j++){
+ ar0[j]->Draw();
+ ar1[j]->Draw();
+ line[j]->Draw();
+ } // end for j
+ TText *t = new TText();
+ t->SetTextSize(0.02);
+ Char_t txt[100];
+ sprintf(txt,"(x0=%5.2f,y0=%5.2f)",x0,y0);
+ t->DrawText(x0,y0,txt);
+ sprintf(txt,"(x1=%5.2f,y1=%5.2f)",x1,y1);
+ for(j=0;j<4;j++) {
+ t->SetTextColor(j+1);
+ t->DrawText(x1,y1,txt);
+ sprintf(txt,"r0=%5.2f",ra0[j]);
+ t->DrawText(0.5*(x0+xa0[j]),0.5*(y0+ya0[j]),txt);
+ sprintf(txt,"r1=%5.2f",ra1[j]);
+ t->DrawText(0.5*(x1+xa1[j]),0.5*(y1+ya1[j]),txt);
+ } // end for j
+}
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff