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new vZ recon from known Ex

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This commit is contained in:
James Szalkie 2026-09-21 11:33:59 -04:00
parent d4e7c18040
commit 34b9fd5f3d
4 changed files with 157 additions and 105 deletions
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108
Armory/Archives/anasen_anode_cathode_hyperboloids.h Normal file
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@ -0,0 +1,108 @@
inline std::tuple<TVector3,TVector3,double> find_PC_PathLength(const TVector3& x1, const TVector3& x2) {
/*
Square-aperture detector geometry replacing the original circular one-sheet hyperboloid.
The active surfaces are centered on the z axis and form squares rather than circles:
- anodes: 40 mm x 40 mm
- cathodes: 42 mm x 42 mm
The beam is kept on-axis, so the square openings enclose the beam while still defining
the anode/cathode boundaries in the x-y plane.
*/
/*
// Original circular hyperboloid implementation retained for reference.
// This section is intentionally commented out to avoid using the circular geometry.
TVector3 dx = x2-x1; // direction vector
double t2 = 1.0; //The value of 't' at the destination point, by definition: t=(z(t)-z0)/dz
auto onesheet_hyperboloid_intersect = [&](double a, double c) {
auto A = pow(dx.Perp(),2)/(a*a) - pow(dx.Z(),2)/(c*c);
auto B = 2*(dx.X()*x1.X()+dx.Y()*x1.Y())/(a*a) - 2*(dx.Z()*x1.Z())/(c*c);
auto C = pow(x1.Perp(),2)/(a*a) - pow(x1.Z(),2)/(c*c) - 1.0;
double disc = B*B - 4*A*C;
if(disc<0)
return TVector3(0,0,54321);
else {
double tsol1 = (-B + TMath::Sqrt(disc))/(2*A);
double tsol2 = (-B - TMath::Sqrt(disc))/(2*A);
if(tsol1 >= 0 && tsol1 <= t2)
return x1+tsol1*dx;
else if(tsol2>=0 && tsol2 <= t2)
return x1+tsol2*dx;
else
return TVector3(0,0,54321);
}
};
TVector3 anode_intersect = onesheet_hyperboloid_intersect(32.0429,301.895);
TVector3 cathode_intersect = onesheet_hyperboloid_intersect(37.239045,301.895);
TVector3 gw_intersect = onesheet_hyperboloid_intersect(27.712,301.895);
if(anode_intersect.Z()!=54321 && cathode_intersect.Z()!=54321 && gw_intersect.Z()!=54321)
return std::tuple(cathode_intersect,gw_intersect,(cathode_intersect-gw_intersect).Mag()*0.1);
else
return std::tuple(TVector3(0,0,0), TVector3(0,0,0), 54321);
*/
const double anode_half_width = 20.0; // 40 mm square side length
const double cathode_half_width = 21.0; // 42 mm square side length
const double guard_half_width = 18.0; // square guard opening centered on beam axis, still encloses beam
const double z_start = -100.0; // square detector opening begins here along the beam axis
const double invalid_z = 54321.0;
const double eps = 1.0e-12;
TVector3 dx = x2 - x1;
auto square_intersection = [&](const TVector3& start, const TVector3& direction, double half_width) {
double best_t = 1.0;
bool found = false;
auto consider_t = [&](double t, bool x_hit, bool y_hit) {
if (t < -eps || t > 1.0 + eps) return;
TVector3 point = start + t * direction;
double abs_x = std::abs(point.X());
double abs_y = std::abs(point.Y());
bool inside_square = (abs_x <= half_width + eps) && (abs_y <= half_width + eps);
bool on_boundary = (x_hit && std::abs(abs_x - half_width) <= eps) || (y_hit && std::abs(abs_y - half_width) <= eps);
bool beyond_start = point.Z() >= z_start - eps;
if (inside_square && on_boundary && beyond_start && t >= 0.0 && t <= 1.0) {
if (!found || t < best_t) {
best_t = t;
found = true;
}
}
};
if (std::abs(direction.X()) > eps) {
double t_plus_x = (half_width - start.X()) / direction.X();
double t_minus_x = (-half_width - start.X()) / direction.X();
consider_t(t_plus_x, true, false);
consider_t(t_minus_x, true, false);
}
if (std::abs(direction.Y()) > eps) {
double t_plus_y = (half_width - start.Y()) / direction.Y();
double t_minus_y = (-half_width - start.Y()) / direction.Y();
consider_t(t_plus_y, false, true);
consider_t(t_minus_y, false, true);
}
if (!found) {
return TVector3(0, 0, invalid_z);
}
return start + best_t * direction;
};
TVector3 anode_intersect = square_intersection(x1, dx, anode_half_width);
TVector3 cathode_intersect = square_intersection(x1, dx, cathode_half_width);
TVector3 gw_intersect = square_intersection(x1, dx, guard_half_width);
if (anode_intersect.Z() != invalid_z && cathode_intersect.Z() != invalid_z && gw_intersect.Z() != invalid_z)
return std::tuple(cathode_intersect, gw_intersect, (cathode_intersect - gw_intersect).Mag() * 0.1);
else
return std::tuple(TVector3(0, 0, 0), TVector3(0, 0, 0), invalid_z);
}

14
Armory/anasenMS.cpp
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@ -162,7 +162,7 @@ int main(int argc, char **argv){
transfer.Seta(4, 2); // 4He target
transfer.Setb(1, 1); // outgoing proton from the primary transfer
transfer.SetB(30, 14); // 30Si* heavy product
double beamE = 100; //56.1
double beamE = 56.1; //56.1
const ReactionConfig reactionConfig = transfer.GetRectionConfig();
const double beamA = reactionConfig.beamA; // mass number of 14N beam
@ -415,11 +415,12 @@ int main(int argc, char **argv){
tree1->Branch("qqqUp", &qqqUp, "qqqUp/I");
tree1->Branch("qqqBk", &qqqBk, "qqqBk/I");
double EBeam_Kin_gs=NAN, EBeam_Kin_2_2=NAN, EBeam_Kin_3_4=NAN, Ex_recon=NAN;
double EBeam_Kin_gs=NAN, EBeam_Kin_2_2=NAN, EBeam_Kin_3_4=NAN, Ex_recon=NAN, EbeamRecon=NAN;
tree1->Branch("EBeam_Kin", &EBeam_Kin_gs, "EBeam_Kin/D");
tree1->Branch("EBeam_Kin_2.2", &EBeam_Kin_2_2, "EBeam_Kin_2.2/D");
tree1->Branch("EBeam_Kin_3.4", &EBeam_Kin_3_4, "EBeam_Kin_3.4/D");
tree1->Branch("Ex_recon", &Ex_recon, "Ex_recon/D");
tree1->Branch("EbeamRecon", &EbeamRecon, "EbeamRecon/D");
// reconstructed angles from PW track fit, method 1 and 2
double reTheta, rePhi;
@ -436,10 +437,11 @@ int main(int argc, char **argv){
tree1->Branch("sigma_a", &sigma_a, "sigma_a/D");
tree1->Branch("theta_recon", &theta_recon, "theta_recon/D");
double vX_recon, vY_recon, vZ_recon;
double vX_recon, vY_recon, vZ_recon, vZ_from_beam;
tree1->Branch("vX_recon", &vX_recon, "vX_recon/D");
tree1->Branch("vY_recon", &vY_recon, "vY_recon/D");
tree1->Branch("vZ_recon", &vZ_recon, "vZ_recon/D");
tree1->Branch("vZ_from_beam", &vZ_from_beam, "vZ_from_beam/D");
// reconstructed vertex Z from PW fit
double z0;
@ -499,6 +501,7 @@ int main(int argc, char **argv){
vY_recon = TMath::QuietNaN();
vZ_recon = TMath::QuietNaN();
Ex_recon = TMath::QuietNaN();
EbeamRecon = TMath::QuietNaN();
sx3ID = -1;
sx3Up = -1;
sx3Dn = -1;
@ -735,15 +738,20 @@ int main(int argc, char **argv){
distance_sx3);
Ex_recon = apkin_27Al.getExc(originalEnergy, theta_recon);
EbeamRecon = apkin_27Al.getEbeam_givenQ(originalEnergy, Ex, theta_recon);
vZ_from_beam = elossBeamInverse->Eval(EbeamRecon) - 450;
/*Checklist: anode smudge, sx3 smudge, beam position off axis, beam angle*/
} else {
theta_recon = TMath::QuietNaN();
vX_recon = TMath::QuietNaN();
vY_recon = TMath::QuietNaN();
vZ_recon = TMath::QuietNaN();
Ex_recon = TMath::QuietNaN();
EbeamRecon = TMath::QuietNaN();
originalEnergy = TMath::QuietNaN();
vZ_from_beam = TMath::QuietNaN();
}
//EBeam_Kin_gs = apkin_27Al.getEbeam_givenQ(Esx3, 0.0, thetab);
//EBeam_Kin_2_2 = apkin_27Al.getEbeam_givenQ(Esx3, 2.2, thetab);

131
Armory/anasen_anode_cathode_hyperboloids.h
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@ -1,108 +1,37 @@
inline std::tuple<TVector3,TVector3,double> find_PC_PathLength(const TVector3& x1, const TVector3& x2) {
/*
Square-aperture detector geometry replacing the original circular one-sheet hyperboloid.
The active surfaces are centered on the z axis and form squares rather than circles:
- anodes: 40 mm x 40 mm
- cathodes: 42 mm x 42 mm
The beam is kept on-axis, so the square openings enclose the beam while still defining
the anode/cathode boundaries in the x-y plane.
Function that finds the path length between anode and cathode surfaces, both one-sheet hyperboloids of form (x*x+y*y)/(a*a) - (z*z)/(c*c) = 1
* path length found for a given particle moving along a certain direction from x1 to x2
* Typical arguments here will be x1=r_rhoMin, x2=qqqevent.pos or sx3event.pos
*/
/*
// Original circular hyperboloid implementation retained for reference.
// This section is intentionally commented out to avoid using the circular geometry.
TVector3 dx = x2-x1; // direction vector
TVector3 dx = x2-x1;// direction vector
double t2 = 1.0; //The value of 't' at the destination point, by definition: t=(z(t)-z0)/dz
auto onesheet_hyperboloid_intersect = [&](double a, double c) {
auto A = pow(dx.Perp(),2)/(a*a) - pow(dx.Z(),2)/(c*c);
auto B = 2*(dx.X()*x1.X()+dx.Y()*x1.Y())/(a*a) - 2*(dx.Z()*x1.Z())/(c*c);
auto C = pow(x1.Perp(),2)/(a*a) - pow(x1.Z(),2)/(c*c) - 1.0;
double disc = B*B - 4*A*C;
if(disc<0)
return TVector3(0,0,54321);
else {
double tsol1 = (-B + TMath::Sqrt(disc))/(2*A);
double tsol2 = (-B - TMath::Sqrt(disc))/(2*A);
if(tsol1 >= 0 && tsol1 <= t2)
return x1+tsol1*dx;
else if(tsol2>=0 && tsol2 <= t2)
return x1+tsol2*dx;
else
return TVector3(0,0,54321);
}
};
auto A = pow(dx.Perp(),2)/(a*a) - pow(dx.Z(),2)/(c*c);
auto B = 2*(dx.X()*x1.X()+dx.Y()*x1.Y())/(a*a) - 2*(dx.Z()*x1.Z())/(c*c);
auto C = pow(x1.Perp(),2)/(a*a) - pow(x1.Z(),2)/(c*c) - 1.0;
double disc = B*B - 4*A*C;
if(disc<0)
return TVector3(0,0,54321);
else {
double tsol1 = (-B + TMath::Sqrt(disc))/(2*A);
double tsol2 = (-B - TMath::Sqrt(disc))/(2*A);
if(tsol1 >= 0 && tsol1 <= t2)
return x1+tsol1*dx;
else if(tsol2>=0 && tsol2 <= t2)
return x1+tsol2*dx;
else
return TVector3(0,0,54321);
}
};
TVector3 anode_intersect = onesheet_hyperboloid_intersect(32.0429,301.895);
TVector3 cathode_intersect = onesheet_hyperboloid_intersect(37.239045,301.895);
TVector3 gw_intersect = onesheet_hyperboloid_intersect(27.712,301.895);
if(anode_intersect.Z()!=54321 && cathode_intersect.Z()!=54321 && gw_intersect.Z()!=54321)
return std::tuple(cathode_intersect,gw_intersect,(cathode_intersect-gw_intersect).Mag()*0.1);
else
return std::tuple(TVector3(0,0,0), TVector3(0,0,0), 54321);
*/
const double anode_half_width = 20.0; // 40 mm square side length
const double cathode_half_width = 21.0; // 42 mm square side length
const double guard_half_width = 18.0; // square guard opening centered on beam axis, still encloses beam
const double z_start = -100.0; // square detector opening begins here along the beam axis
const double invalid_z = 54321.0;
const double eps = 1.0e-12;
TVector3 dx = x2 - x1;
auto square_intersection = [&](const TVector3& start, const TVector3& direction, double half_width) {
double best_t = 1.0;
bool found = false;
auto consider_t = [&](double t, bool x_hit, bool y_hit) {
if (t < -eps || t > 1.0 + eps) return;
TVector3 point = start + t * direction;
double abs_x = std::abs(point.X());
double abs_y = std::abs(point.Y());
bool inside_square = (abs_x <= half_width + eps) && (abs_y <= half_width + eps);
bool on_boundary = (x_hit && std::abs(abs_x - half_width) <= eps) || (y_hit && std::abs(abs_y - half_width) <= eps);
bool beyond_start = point.Z() >= z_start - eps;
if (inside_square && on_boundary && beyond_start && t >= 0.0 && t <= 1.0) {
if (!found || t < best_t) {
best_t = t;
found = true;
}
}
};
if (std::abs(direction.X()) > eps) {
double t_plus_x = (half_width - start.X()) / direction.X();
double t_minus_x = (-half_width - start.X()) / direction.X();
consider_t(t_plus_x, true, false);
consider_t(t_minus_x, true, false);
}
if (std::abs(direction.Y()) > eps) {
double t_plus_y = (half_width - start.Y()) / direction.Y();
double t_minus_y = (-half_width - start.Y()) / direction.Y();
consider_t(t_plus_y, false, true);
consider_t(t_minus_y, false, true);
}
if (!found) {
return TVector3(0, 0, invalid_z);
}
return start + best_t * direction;
};
TVector3 anode_intersect = square_intersection(x1, dx, anode_half_width);
TVector3 cathode_intersect = square_intersection(x1, dx, cathode_half_width);
TVector3 gw_intersect = square_intersection(x1, dx, guard_half_width);
if (anode_intersect.Z() != invalid_z && cathode_intersect.Z() != invalid_z && gw_intersect.Z() != invalid_z)
return std::tuple(cathode_intersect, gw_intersect, (cathode_intersect - gw_intersect).Mag() * 0.1);
else
return std::tuple(TVector3(0, 0, 0), TVector3(0, 0, 0), invalid_z);
//TODO: Magic numbers here describing waist 'a', and flare 'c' will need better treatment.
//Currently, these are derived by fitting the crossover points to R^2/a^2 - z^2/c^2 = 1 for anodes
// Cathode a, c values are found by scaling up the anode waist by 43/37, the ratio of the outermost radii
TVector3 anode_intersect = onesheet_hyperboloid_intersect(32.0429,301.895);
TVector3 cathode_intersect = onesheet_hyperboloid_intersect(37.239045,301.895);
if(anode_intersect.Z()!=54321 && cathode_intersect.Z()!=54321)
return std::tuple(cathode_intersect,anode_intersect,(cathode_intersect-anode_intersect).Mag()*0.1);
else
return std::tuple(TVector3(0,0,0), TVector3(0,0,0), 54321);
}

7
Armory/testMacro.C
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@ -42,5 +42,12 @@
tree1->Draw("theta_recon:thetab", "sx3ID >=0 && Esx3 > 0", "");
c2->SaveAs("theta_recon_vs_thetab.png");
new TCanvas("c3", "Canvas", 900, 600);
tree1->Draw("vZ_recon:vZ", "sx3ID >=0 && !TMath::IsNaN(vZ_recon)", "");
TF1 *line = new TF1("line", "x", gPad->GetUxmin(), gPad->GetUxmax());
line->SetLineColor(kRed); line->Draw("SAME");
c3->SaveAs("vZ_recon_vs_vZ.png");
}