#include #include using std::cout; using std::endl; #include "DMagneticFieldMap.h" #include "JANA/JParameterManager.h" #include #include static int default_rDim=41; static int default_phiDim=1; static int default_zDim=251; extern DBfieldPoint_t default_mag_field[]; // IMPORTANT: // // The table at the // bottom is not exactly the same as what is being used by HDGeant. // I seem to recall getting a more detailed map from Paul Brindza than // what is being used by HDGeant which I think this may be from. // I cannot seem to find the map used to generate this table nor // whatever script was used to convert it. //--------------------- // DMagneticFieldMap //--------------------- DMagneticFieldMap::DMagneticFieldMap() { // Set defaults BMAP_Z_OFFSET = 26.0; // offset between map and GEANT z-coord. in inches BZ_AVG_Z = 65.0; // in cm in GEANT coordinates BZ_CONST = -1000.0; // in Tesla (only used if less than +/-100 T gPARMS->SetDefaultParameter("GEOM:BMAP_Z_OFFSET", BMAP_Z_OFFSET); gPARMS->SetDefaultParameter("GEOM:BZ_AVG_Z", BZ_AVG_Z); gPARMS->SetDefaultParameter("GEOM:BZ_CONST", BZ_CONST); /// Initialize with the hardwired, default field map for now. /// We'll go back to reading the map from an external source /// once the primary players can agree on one! rDim = default_rDim; zDim = default_zDim; phiDim = default_phiDim; Bmap = default_mag_field; // Loop over every element of the field map and find the // min and max values for r and z (the current map has no phi // dependence). Npoints = default_rDim*default_zDim*default_phiDim; DBfieldPoint_t *B = Bmap; rMin = zMin = +1.0E6; rMax = zMax = -1.0E6; for(int i=0; ix < rMin)rMin=B->x; if(B->x > rMax)rMax=B->x; if(B->z < zMin)zMin=B->z; if(B->z > zMin)zMax=B->z; } // Initialize null_point which is returned when the requested point // is out of the map's area. null_point.x=null_point.y=null_point.z =0.0; null_point.Bx=null_point.By=null_point.Bz =0.0; // Distance between map points for r and z dr = (rMax-rMin)/(double)rDim; dz = (zMax-zMin)/(double)zDim; } //--------------------- // ~DMagneticFieldMap //--------------------- DMagneticFieldMap::~DMagneticFieldMap() { } //--------------------- // getQuick //--------------------- const DBfieldPoint_t* DMagneticFieldMap::getQuick(const double x, const double y, const double z) const { // If a (reasonable) value for BZ_CONST is set, then just return it if(fabs(BZ_CONST)<100){ static DBfieldPoint_t bpoint; bpoint.x=bpoint.y=bpoint.z=0.0; bpoint.Bx=bpoint.By=0.0; bpoint.Bz = BZ_CONST; return &bpoint; } int index_r, index_z; int index = GetIndices(x, y, z, index_r, index_z); if(index<0)return &null_point; return &Bmap[index]; } //--------------------- // GetIndices //--------------------- int DMagneticFieldMap::GetIndices(double x, double y, double z, int &index_r, int &index_z) const { // Elements are stored first x, then z. We use x for r double r = sqrt(x*x+y*y)/2.54; double zprime = z/2.54 + BMAP_Z_OFFSET; index_r = (int)((r-rMin)/dr); index_z = (int)((zprime-zMin)/dz); if(index_r<0 || index_r>=rDim)return -1; if(index_z<0 || index_z>=zDim)return -1; int index = index_r*zDim + index_z; if(index<0 || index>=Npoints){ return -1; } return index; } //--------------------------------------------------------------- // calculate a bi-linear interpolated field // (only good for the same phi-value) //--------------------------------------------------------------- //--------------------- // GetBilinear //--------------------- void DMagneticFieldMap::GetBilinear(double x, double y, double z, double &Bx, double &By, double &Bz) const { // This has been modified from Werner's original algorithm. // In the original algorithm, the three points (00, 10, 01) // were used to define a plane for each of Bx, By, and Bz // such that the field varied linearly in x,y,z. This was // good in that it gave some representation of the gradient // of the field. The drawbacks were 1.) if the point were // actually closest to the "11" corner, the field at "11" // was not used and 2.) the second derivative of the field // was discontinuous. (These may be fairly minor drawbacks.) // // The current algorithm uses all 4 points (00,10,01,11) // and determines the field components via weighted average // of the field at the corners. The weight is essentially // 1/d where d is the distance of the point from the corner. // While this does use information from the "11" corner and // has a continuous second derivative, it is still problematic // in that the first derivative is always 0 at the map points // themselves. This leads to a micro-stucture in the field // that is a kind of smoothed step pattern. Field gradients // derived from points that are far apart relative to the // grid spacing will still be valid, but gradients derived // from points spaced smaller than the grid points will be // completely wrong. // z ^ // 10 | | 11 // --+---------+-- // | | // | | // | | // --+---------+--> r // 00 | | 01 if(fabs(BZ_CONST)<100){ Bx=By=0.0; Bz = BZ_CONST; return; } Bx = By = Bz = 0.0; // Find index in map of each corner int index_r, index_z; int index[4]; index[0] = GetIndices(x, y, z, index_r, index_z); if(index[0]<0)return; index[1] = (index_z+0) + (index_r+1)*zDim; index[2] = (index_z+1) + (index_r+0)*zDim; index[3] = (index_z+1) + (index_r+1)*zDim; // Get pointers to field map elements for each corner. // If a corner is outside the map, use null_point const DBfieldPoint_t *B[4]; B[0] = &Bmap[index[0]]; B[1] = index_r<(rDim-1) ? &Bmap[index[1]]:&null_point; B[2] = index_z<(zDim-1) ? &Bmap[index[2]]:&null_point; B[3] = ((index_r<(rDim-1)) && (index_z<(zDim-1))) ? &Bmap[index[3]]:&null_point; // Find relative distance of each corner from x,y,z double r = sqrt(x*x+y*y)/2.54; double zprime = z/2.54 + BMAP_Z_OFFSET; double t = (r - B[0]->x)/dr; double u = (zprime - B[0]->z)/dz; double d[4]; d[0] = sqrt(t*t + u*u); d[1] = sqrt((1.0-t)*(1.0-t) + u*u); d[2] = sqrt(t*t + (1.0-u)*(1.0-u)); d[3] = sqrt((1.0-t)*(1.0-t) + (1.0-u)*(1.0-u)); // Determine weight of field from each corner. Weight goes // like 1/(d+epsilon) where epsilon avoids poles at corners. double epsilon = 0.001; double w[4], sum_w=0.0; double Br=0.0, Bphi=0.0;; for(int i=0; i<4; i++){ w[i] = 1.0/(d[0]+epsilon); sum_w += w[i]; Br+=w[i]*B[i]->Bx; Bphi+=w[i]*B[i]->By; Bz+=w[i]*B[i]->Bz; } Br /= sum_w; Bphi /= sum_w; Bz /= sum_w; double theta = atan2(y,x); double cos_theta = cos(theta); double sin_theta = sin(theta); Bx = Br*cos_theta - Bphi*sin_theta; By = Br*sin_theta + Bphi*cos_theta; } //--------------------- // Bz_avg //--------------------- double DMagneticFieldMap::Bz_avg(double x, double y, double x0, double y0, double delta_phi) const { /// Calculate the average z-component of the B-field along a /// circular path with the given parameters. The path starts /// at the point x,y and follows a circle centered at x0,y0 /// for delta_phi radians (which may be more than 2pi). /// The magnetic field map is accessed /// at a z-position of 65.0, the nominal center of the target. /// /// This is used by DQuickFit when fitting a circle in the X/Y /// plane to convert the circle's parameters into transverse /// momentum in GeV/c. When information about the helix in the /// z-direction is known, then Bz_avg3D should be used. // If a (reasonable) value for BZ_CONST is set, then just return it if(fabs(BZ_CONST)<100)return BZ_CONST; double dphi = M_PI/180.0; // use 1 degree steps double dx = x-x0; double dy = y-y0; double r = sqrt(dx*dx + dy*dy); double phi = atan2(dy,dx); if(delta_phi<0.0)dphi = -dphi; double Bzavg = 0.0; int Nsteps = (int)fabs(delta_phi/dphi); int Ndone = 0; double Rmax2 = 65.0*65.0; // if track goes beyond this, we are out of range for(; Ndone Rmax2)break; const DBfieldPoint_t *point = getQuick(x, y, BZ_AVG_Z); Bzavg+= point->Bz; Ndone++; } Bzavg /= (double)Ndone; return Bzavg; } //--------------------- // Bz_avg //--------------------- double DMagneticFieldMap::Bz_avg(double x, double y, double z, double x0, double y0, double theta, double zmax) const { /// Calculate the average z-component of the B-field along a /// helical path with the given parameters. The path starts /// at the point x,y,z and follows a helix centered at x0,y0 /// with axis along the z-direction with the given theta. /// (tan(theta) is just Ro*dphi/dz). The helix is followed /// until it crosses zmax. Note that if zmax is less than z, /// then the helix is followed backwards. /// /// All values passed in are in cm using the GEANT coordinate system. /// /// This is used by DQuickFit when fitting a 3-D track and is /// used to convert the helix's parameters into transverse /// momentum in GeV/c. // If a (reasonable) value for BZ_CONST is set, then just return it if(fabs(BZ_CONST)<100)return BZ_CONST; // While it should never happen, it's possible that we could get // passed a track that is going down the beam line. For these, // we just say the average field is -2.2T. if(fabs(theta)<1.0E-5 || fabs(fabs(theta)-M_PI)<1.0E-5)return -2.2; double dx = x-x0; double dy = y-y0; double r = sqrt(dx*dx + dy*dy); double phi = atan2(dy,dx); // find dphi and dz step sizes that correspond to an arclength // of stepsize along the helix. We calculate this using cot(theta) // since it has a pole only at theta=0,pi and we should never reconstruct // a track there since then we wouldn't have any hits! We set up // to step along 3 meters of path length so there is an absolute limit. // If we run into the BCAL (R>65.0cm) or go past zmax, then we break // the loop early. This will happen often. double stepsize = 5.0; // in cm double cot_theta = cos(theta)/sin(theta); double dphi = stepsize/r/sqrt(1.0+cot_theta*cot_theta); double dz = r*dphi*cot_theta; int Nsteps = (int)(300.0/stepsize); // make sure we're stepping in the right z-direction if(zmax Rmax2)break; const DBfieldPoint_t *point = getQuick(x, y, z); Bzavg+= point->Bz; Ndone++; } Bzavg /= (double)Ndone; return Bzavg; } //--------------------- // GetTable //--------------------- void DMagneticFieldMap::GetTable(const DBfieldPoint_t* &Bmap, int &Npoints) { Bmap = this->Bmap; Npoints = this->Npoints; } // ======================= Below here is auto-generated code =================== DBfieldPoint_t default_mag_field[] = { {0.0000, 0.0000, 30.000, 0, 0, -1.1451}, {0.0000, 0.0000, 31.000, 0, 0, -1.1795}, {0.0000, 0.0000, 32.000, 0, 0, -1.2125}, {0.0000, 0.0000, 33.000, 0, 0, -1.2448}, {0.0000, 0.0000, 34.000, 0, 0, -1.2761}, {0.0000, 0.0000, 35.000, 0, 0, -1.3065}, {0.0000, 0.0000, 36.000, 0, 0, -1.3363}, {0.0000, 0.0000, 37.000, 0, 0, -1.3650}, {0.0000, 0.0000, 38.000, 0, 0, -1.3934}, {0.0000, 0.0000, 39.000, 0, 0, -1.4202}, {0.0000, 0.0000, 40.000, 0, 0, -1.4470}, {0.0000, 0.0000, 41.000, 0, 0, -1.4719}, {0.0000, 0.0000, 42.000, 0, 0, -1.4968}, {0.0000, 0.0000, 43.000, 0, 0, -1.5201}, {0.0000, 0.0000, 44.000, 0, 0, -1.5431}, {0.0000, 0.0000, 45.000, 0, 0, -1.5649}, {0.0000, 0.0000, 46.000, 0, 0, -1.5860}, {0.0000, 0.0000, 47.000, 0, 0, -1.6063}, {0.0000, 0.0000, 48.000, 0, 0, -1.6256}, {0.0000, 0.0000, 49.000, 0, 0, -1.6445}, {0.0000, 0.0000, 50.000, 0, 0, -1.6621}, {0.0000, 0.0000, 51.000, 0, 0, -1.6796}, {0.0000, 0.0000, 52.000, 0, 0, -1.6957}, {0.0000, 0.0000, 53.000, 0, 0, -1.7117}, {0.0000, 0.0000, 54.000, 0, 0, -1.7266}, {0.0000, 0.0000, 55.000, 0, 0, -1.7412}, {0.0000, 0.0000, 56.000, 0, 0, -1.7549}, {0.0000, 0.0000, 57.000, 0, 0, -1.7683}, {0.0000, 0.0000, 58.000, 0, 0, -1.7810}, {0.0000, 0.0000, 59.000, 0, 0, -1.7931}, {0.0000, 0.0000, 60.000, 0, 0, -1.8049}, {0.0000, 0.0000, 61.000, 0, 0, -1.8160}, {0.0000, 0.0000, 62.000, 0, 0, -1.8269}, {0.0000, 0.0000, 63.000, 0, 0, -1.8370}, {0.0000, 0.0000, 64.000, 0, 0, -1.8471}, {0.0000, 0.0000, 65.000, 0, 0, -1.8564}, {0.0000, 0.0000, 66.000, 0, 0, -1.8656}, {0.0000, 0.0000, 67.000, 0, 0, -1.8742}, {0.0000, 0.0000, 68.000, 0, 0, -1.8826}, {0.0000, 0.0000, 69.000, 0, 0, -1.8907}, {0.0000, 0.0000, 70.000, 0, 0, -1.8984}, {0.0000, 0.0000, 71.000, 0, 0, -1.9059}, {0.0000, 0.0000, 72.000, 0, 0, -1.9131}, {0.0000, 0.0000, 73.000, 0, 0, -1.9201}, {0.0000, 0.0000, 74.000, 0, 0, -1.9266}, {0.0000, 0.0000, 75.000, 0, 0, -1.9330}, {0.0000, 0.0000, 76.000, 0, 0, -1.9391}, {0.0000, 0.0000, 77.000, 0, 0, -1.9450}, {0.0000, 0.0000, 78.000, 0, 0, -1.9506}, {0.0000, 0.0000, 79.000, 0, 0, -1.9559}, {0.0000, 0.0000, 80.000, 0, 0, -1.9610}, {0.0000, 0.0000, 81.000, 0, 0, -1.9662}, {0.0000, 0.0000, 82.000, 0, 0, -1.9708}, {0.0000, 0.0000, 83.000, 0, 0, -1.9753}, {0.0000, 0.0000, 84.000, 0, 0, -1.9795}, {0.0000, 0.0000, 85.000, 0, 0, -1.9834}, {0.0000, 0.0000, 86.000, 0, 0, -1.9873}, {0.0000, 0.0000, 87.000, 0, 0, -1.9906}, {0.0000, 0.0000, 88.000, 0, 0, -1.9939}, {0.0000, 0.0000, 89.000, 0, 0, -1.9968}, {0.0000, 0.0000, 90.000, 0, 0, -1.9996}, {0.0000, 0.0000, 91.000, 0, 0, -2.0022}, {0.0000, 0.0000, 92.000, 0, 0, -2.0043}, {0.0000, 0.0000, 93.000, 0, 0, -2.0065}, {0.0000, 0.0000, 94.000, 0, 0, -2.0083}, {0.0000, 0.0000, 95.000, 0, 0, -2.0100}, {0.0000, 0.0000, 96.000, 0, 0, -2.0115}, {0.0000, 0.0000, 97.000, 0, 0, -2.0128}, {0.0000, 0.0000, 98.000, 0, 0, -2.0141}, {0.0000, 0.0000, 99.000, 0, 0, -2.0151}, {0.0000, 0.0000, 100.00, 0, 0, -2.0161}, {0.0000, 0.0000, 101.00, 0, 0, -2.0169}, {0.0000, 0.0000, 102.00, 0, 0, -2.0177}, {0.0000, 0.0000, 103.00, 0, 0, -2.0184}, {0.0000, 0.0000, 104.00, 0, 0, -2.0192}, {0.0000, 0.0000, 105.00, 0, 0, -2.0199}, {0.0000, 0.0000, 106.00, 0, 0, -2.0206}, {0.0000, 0.0000, 107.00, 0, 0, -2.0213}, {0.0000, 0.0000, 108.00, 0, 0, -2.0221}, {0.0000, 0.0000, 109.00, 0, 0, -2.0229}, {0.0000, 0.0000, 110.00, 0, 0, -2.0235}, {0.0000, 0.0000, 111.00, 0, 0, -2.0241}, {0.0000, 0.0000, 112.00, 0, 0, -2.0248}, {0.0000, 0.0000, 113.00, 0, 0, -2.0255}, {0.0000, 0.0000, 114.00, 0, 0, -2.0263}, {0.0000, 0.0000, 115.00, 0, 0, -2.0271}, {0.0000, 0.0000, 116.00, 0, 0, -2.0278}, {0.0000, 0.0000, 117.00, 0, 0, -2.0286}, {0.0000, 0.0000, 118.00, 0, 0, -2.0294}, {0.0000, 0.0000, 119.00, 0, 0, -2.0301}, {0.0000, 0.0000, 120.00, 0, 0, -2.0309}, {0.0000, 0.0000, 121.00, 0, 0, -2.0316}, {0.0000, 0.0000, 122.00, 0, 0, -2.0323}, {0.0000, 0.0000, 123.00, 0, 0, -2.0330}, {0.0000, 0.0000, 124.00, 0, 0, -2.0335}, {0.0000, 0.0000, 125.00, 0, 0, -2.0340}, {0.0000, 0.0000, 126.00, 0, 0, -2.0345}, {0.0000, 0.0000, 127.00, 0, 0, -2.0348}, {0.0000, 0.0000, 128.00, 0, 0, -2.0351}, {0.0000, 0.0000, 129.00, 0, 0, -2.0351}, {0.0000, 0.0000, 130.00, 0, 0, -2.0351}, {0.0000, 0.0000, 131.00, 0, 0, -2.0347}, {0.0000, 0.0000, 132.00, 0, 0, -2.0340}, {0.0000, 0.0000, 133.00, 0, 0, -2.0333}, {0.0000, 0.0000, 134.00, 0, 0, -2.0326}, {0.0000, 0.0000, 135.00, 0, 0, -2.0312}, {0.0000, 0.0000, 136.00, 0, 0, -2.0295}, {0.0000, 0.0000, 137.00, 0, 0, -2.0273}, {0.0000, 0.0000, 138.00, 0, 0, -2.0246}, {0.0000, 0.0000, 139.00, 0, 0, -2.0214}, {0.0000, 0.0000, 140.00, 0, 0, -2.0169}, {0.0000, 0.0000, 141.00, 0, 0, -2.0124}, {0.0000, 0.0000, 142.00, 0, 0, -2.0064}, {0.0000, 0.0000, 143.00, 0, 0, -2.0001}, {0.0000, 0.0000, 144.00, 0, 0, -1.9928}, {0.0000, 0.0000, 145.00, 0, 0, -1.9841}, {0.0000, 0.0000, 146.00, 0, 0, -1.9754}, {0.0000, 0.0000, 147.00, 0, 0, -1.9640}, {0.0000, 0.0000, 148.00, 0, 0, -1.9526}, {0.0000, 0.0000, 149.00, 0, 0, -1.9391}, {0.0000, 0.0000, 150.00, 0, 0, -1.9246}, {0.0000, 0.0000, 151.00, 0, 0, -1.9092}, {0.0000, 0.0000, 152.00, 0, 0, -1.8913}, {0.0000, 0.0000, 153.00, 0, 0, -1.8734}, {0.0000, 0.0000, 154.00, 0, 0, -1.8525}, {0.0000, 0.0000, 155.00, 0, 0, -1.8310}, {0.0000, 0.0000, 156.00, 0, 0, -1.8079}, {0.0000, 0.0000, 157.00, 0, 0, -1.7828}, {0.0000, 0.0000, 158.00, 0, 0, -1.7576}, {0.0000, 0.0000, 159.00, 0, 0, -1.7290}, {0.0000, 0.0000, 160.00, 0, 0, -1.7004}, {0.0000, 0.0000, 161.00, 0, 0, -1.6699}, {0.0000, 0.0000, 162.00, 0, 0, -1.6384}, {0.0000, 0.0000, 163.00, 0, 0, -1.6060}, {0.0000, 0.0000, 164.00, 0, 0, -1.5711}, {0.0000, 0.0000, 165.00, 0, 0, -1.5358}, {0.0000, 0.0000, 166.00, 0, 0, -1.4990}, {0.0000, 0.0000, 167.00, 0, 0, -1.4618}, {0.0000, 0.0000, 168.00, 0, 0, -1.4233}, {0.0000, 0.0000, 169.00, 0, 0, -1.3845}, {0.0000, 0.0000, 170.00, 0, 0, -1.3445}, {0.0000, 0.0000, 171.00, 0, 0, -1.3044}, {0.0000, 0.0000, 172.00, 0, 0, -1.2635}, {0.0000, 0.0000, 173.00, 0, 0, -1.2223}, {0.0000, 0.0000, 174.00, 0, 0, -1.1799}, {0.0000, 0.0000, 175.00, 0, 0, -1.1380}, {0.0000, 0.0000, 176.00, 0, 0, -1.0974}, {0.0000, 0.0000, 177.00, 0, 0, -1.0569}, {0.0000, 0.0000, 178.00, 0, 0, -1.0163}, {0.0000, 0.0000, 179.00, 0, 0, -0.97566}, {0.0000, 0.0000, 180.00, 0, 0, -0.93512}, {0.0000, 0.0000, 181.00, 0, 0, -0.89589}, {0.0000, 0.0000, 182.00, 0, 0, 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