#include <Riostream.h>
#include <TMath.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 "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 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:
// Return:
// none.
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;
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;
+ //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;
+ //printf(" x=% #12.7g y=% #12.7g\n",x,y);
//cout <<"=============================================="<<endl;
return;
}
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::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