[831] | 1 | // |
---|
| 2 | // ******************************************************************** |
---|
| 3 | // * License and Disclaimer * |
---|
| 4 | // * * |
---|
| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
---|
| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
---|
| 7 | // * conditions of the Geant4 Software License, included in the file * |
---|
| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
---|
| 9 | // * include a list of copyright holders. * |
---|
| 10 | // * * |
---|
| 11 | // * Neither the authors of this software system, nor their employing * |
---|
| 12 | // * institutes,nor the agencies providing financial support for this * |
---|
| 13 | // * work make any representation or warranty, express or implied, * |
---|
| 14 | // * regarding this software system or assume any liability for its * |
---|
| 15 | // * use. Please see the license in the file LICENSE and URL above * |
---|
| 16 | // * for the full disclaimer and the limitation of liability. * |
---|
| 17 | // * * |
---|
| 18 | // * This code implementation is the result of the scientific and * |
---|
| 19 | // * technical work of the GEANT4 collaboration. * |
---|
| 20 | // * By using, copying, modifying or distributing the software (or * |
---|
| 21 | // * any work based on the software) you agree to acknowledge its * |
---|
| 22 | // * use in resulting scientific publications, and indicate your * |
---|
| 23 | // * acceptance of all terms of the Geant4 Software license. * |
---|
| 24 | // ******************************************************************** |
---|
| 25 | // |
---|
| 26 | // |
---|
| 27 | // $Id: G4TwistBoxSide.cc,v 1.6 2007/05/23 09:31:02 gcosmo Exp $ |
---|
[850] | 28 | // GEANT4 tag $Name: HEAD $ |
---|
[831] | 29 | // |
---|
| 30 | // |
---|
| 31 | // -------------------------------------------------------------------- |
---|
| 32 | // GEANT 4 class source file |
---|
| 33 | // |
---|
| 34 | // |
---|
| 35 | // G4TwistBoxSide.cc |
---|
| 36 | // |
---|
| 37 | // Author: |
---|
| 38 | // |
---|
| 39 | // 18/03/2005 - O.Link (Oliver.Link@cern.ch) |
---|
| 40 | // |
---|
| 41 | // -------------------------------------------------------------------- |
---|
| 42 | |
---|
| 43 | #include <cmath> |
---|
| 44 | |
---|
| 45 | #include "G4TwistBoxSide.hh" |
---|
| 46 | #include "G4JTPolynomialSolver.hh" |
---|
| 47 | |
---|
| 48 | //===================================================================== |
---|
| 49 | //* constructors ------------------------------------------------------ |
---|
| 50 | |
---|
| 51 | G4TwistBoxSide::G4TwistBoxSide(const G4String &name, |
---|
| 52 | G4double PhiTwist, // twist angle |
---|
| 53 | G4double pDz, // half z lenght |
---|
| 54 | G4double pTheta, // direction between end planes |
---|
| 55 | G4double pPhi, // defined by polar and azimutal angles. |
---|
| 56 | G4double pDy1, // half y length at -pDz |
---|
| 57 | G4double pDx1, // half x length at -pDz,-pDy |
---|
| 58 | G4double pDx2, // half x length at -pDz,+pDy |
---|
| 59 | G4double pDy2, // half y length at +pDz |
---|
| 60 | G4double pDx3, // half x length at +pDz,-pDy |
---|
| 61 | G4double pDx4, // half x length at +pDz,+pDy |
---|
| 62 | G4double pAlph, // tilt angle at +pDz |
---|
| 63 | G4double AngleSide // parity |
---|
| 64 | ) : G4VTwistSurface(name) |
---|
| 65 | { |
---|
| 66 | |
---|
| 67 | |
---|
| 68 | fAxis[0] = kYAxis; // in local coordinate system |
---|
| 69 | fAxis[1] = kZAxis; |
---|
| 70 | fAxisMin[0] = -kInfinity ; // Y Axis boundary |
---|
| 71 | fAxisMax[0] = kInfinity ; // depends on z !! |
---|
| 72 | fAxisMin[1] = -pDz ; // Z Axis boundary |
---|
| 73 | fAxisMax[1] = pDz ; |
---|
| 74 | |
---|
| 75 | fDx1 = pDx1 ; |
---|
| 76 | fDx2 = pDx2 ; // box |
---|
| 77 | fDx3 = pDx3 ; |
---|
| 78 | fDx4 = pDx4 ; // box |
---|
| 79 | |
---|
| 80 | // this is an overhead. But the parameter naming scheme fits to the other surfaces. |
---|
| 81 | |
---|
| 82 | if ( ! (fDx1 == fDx2 && fDx3 == fDx4 ) ) { |
---|
| 83 | G4cerr << "ERROR - G4TwistBoxSide::G4TwistBoxSide(): " |
---|
| 84 | << GetName() << G4endl |
---|
| 85 | << " Not a box ! - " << G4endl ; |
---|
| 86 | G4Exception("G4TwistBoxSide::G4TwistBoxSide()", "InvalidSetup", |
---|
| 87 | FatalException, "TwistedTrapBoxSide is not used as a the side of a box."); |
---|
| 88 | } |
---|
| 89 | |
---|
| 90 | fDy1 = pDy1 ; |
---|
| 91 | fDy2 = pDy2 ; |
---|
| 92 | |
---|
| 93 | fDz = pDz ; |
---|
| 94 | |
---|
| 95 | fAlph = pAlph ; |
---|
| 96 | fTAlph = std::tan(fAlph) ; |
---|
| 97 | |
---|
| 98 | fTheta = pTheta ; |
---|
| 99 | fPhi = pPhi ; |
---|
| 100 | |
---|
| 101 | // precalculate frequently used parameters |
---|
| 102 | fDx4plus2 = fDx4 + fDx2 ; |
---|
| 103 | fDx4minus2 = fDx4 - fDx2 ; |
---|
| 104 | fDx3plus1 = fDx3 + fDx1 ; |
---|
| 105 | fDx3minus1 = fDx3 - fDx1 ; |
---|
| 106 | fDy2plus1 = fDy2 + fDy1 ; |
---|
| 107 | fDy2minus1 = fDy2 - fDy1 ; |
---|
| 108 | |
---|
| 109 | fa1md1 = 2*fDx2 - 2*fDx1 ; |
---|
| 110 | fa2md2 = 2*fDx4 - 2*fDx3 ; |
---|
| 111 | |
---|
| 112 | |
---|
| 113 | fPhiTwist = PhiTwist ; // dphi |
---|
| 114 | fAngleSide = AngleSide ; // 0,90,180,270 deg |
---|
| 115 | |
---|
| 116 | fdeltaX = 2 * fDz * std::tan(fTheta) * std::cos(fPhi) ; // dx in surface equation |
---|
| 117 | fdeltaY = 2 * fDz * std::tan(fTheta) * std::sin(fPhi) ; // dy in surface equation |
---|
| 118 | |
---|
| 119 | fRot.rotateZ( AngleSide ) ; |
---|
| 120 | |
---|
| 121 | fTrans.set(0, 0, 0); // No Translation |
---|
| 122 | fIsValidNorm = false; |
---|
| 123 | |
---|
| 124 | SetCorners() ; |
---|
| 125 | SetBoundaries() ; |
---|
| 126 | |
---|
| 127 | } |
---|
| 128 | |
---|
| 129 | |
---|
| 130 | //===================================================================== |
---|
| 131 | //* Fake default constructor ------------------------------------------ |
---|
| 132 | |
---|
| 133 | G4TwistBoxSide::G4TwistBoxSide( __void__& a ) |
---|
| 134 | : G4VTwistSurface(a) |
---|
| 135 | { |
---|
| 136 | } |
---|
| 137 | |
---|
| 138 | |
---|
| 139 | //===================================================================== |
---|
| 140 | //* destructor -------------------------------------------------------- |
---|
| 141 | |
---|
| 142 | G4TwistBoxSide::~G4TwistBoxSide() |
---|
| 143 | { |
---|
| 144 | } |
---|
| 145 | |
---|
| 146 | //===================================================================== |
---|
| 147 | //* GetNormal --------------------------------------------------------- |
---|
| 148 | |
---|
| 149 | G4ThreeVector G4TwistBoxSide::GetNormal(const G4ThreeVector &tmpxx, |
---|
| 150 | G4bool isGlobal) |
---|
| 151 | { |
---|
| 152 | // GetNormal returns a normal vector at a surface (or very close |
---|
| 153 | // to surface) point at tmpxx. |
---|
| 154 | // If isGlobal=true, it returns the normal in global coordinate. |
---|
| 155 | // |
---|
| 156 | |
---|
| 157 | G4ThreeVector xx; |
---|
| 158 | if (isGlobal) { |
---|
| 159 | xx = ComputeLocalPoint(tmpxx); |
---|
| 160 | if ((xx - fCurrentNormal.p).mag() < 0.5 * kCarTolerance) { |
---|
| 161 | return ComputeGlobalDirection(fCurrentNormal.normal); |
---|
| 162 | } |
---|
| 163 | } else { |
---|
| 164 | xx = tmpxx; |
---|
| 165 | if (xx == fCurrentNormal.p) { |
---|
| 166 | return fCurrentNormal.normal; |
---|
| 167 | } |
---|
| 168 | } |
---|
| 169 | |
---|
| 170 | G4double phi ; |
---|
| 171 | G4double u ; |
---|
| 172 | |
---|
| 173 | GetPhiUAtX(xx,phi,u) ; // phi,u for point xx close to surface |
---|
| 174 | |
---|
| 175 | G4ThreeVector normal = NormAng(phi,u) ; // the normal vector at phi,u |
---|
| 176 | |
---|
| 177 | #ifdef G4TWISTDEBUG |
---|
| 178 | G4cout << "normal vector = " << normal << G4endl ; |
---|
| 179 | G4cout << "phi = " << phi << " , u = " << u << G4endl ; |
---|
| 180 | #endif |
---|
| 181 | |
---|
| 182 | // normal = normal/normal.mag() ; |
---|
| 183 | |
---|
| 184 | if (isGlobal) { |
---|
| 185 | fCurrentNormal.normal = ComputeGlobalDirection(normal.unit()); |
---|
| 186 | } else { |
---|
| 187 | fCurrentNormal.normal = normal.unit(); |
---|
| 188 | } |
---|
| 189 | return fCurrentNormal.normal; |
---|
| 190 | } |
---|
| 191 | |
---|
| 192 | //===================================================================== |
---|
| 193 | //* DistanceToSurface ------------------------------------------------- |
---|
| 194 | |
---|
| 195 | G4int G4TwistBoxSide::DistanceToSurface(const G4ThreeVector &gp, |
---|
| 196 | const G4ThreeVector &gv, |
---|
| 197 | G4ThreeVector gxx[], |
---|
| 198 | G4double distance[], |
---|
| 199 | G4int areacode[], |
---|
| 200 | G4bool isvalid[], |
---|
| 201 | EValidate validate) |
---|
| 202 | { |
---|
| 203 | |
---|
| 204 | static const G4double ctol = 0.5 * kCarTolerance; |
---|
| 205 | static const G4double pihalf = pi/2 ; |
---|
| 206 | |
---|
| 207 | G4bool IsParallel = false ; |
---|
| 208 | G4bool IsConverged = false ; |
---|
| 209 | |
---|
| 210 | G4int nxx = 0 ; // number of physical solutions |
---|
| 211 | |
---|
| 212 | fCurStatWithV.ResetfDone(validate, &gp, &gv); |
---|
| 213 | |
---|
| 214 | if (fCurStatWithV.IsDone()) { |
---|
| 215 | G4int i; |
---|
| 216 | for (i=0; i<fCurStatWithV.GetNXX(); i++) { |
---|
| 217 | gxx[i] = fCurStatWithV.GetXX(i); |
---|
| 218 | distance[i] = fCurStatWithV.GetDistance(i); |
---|
| 219 | areacode[i] = fCurStatWithV.GetAreacode(i); |
---|
| 220 | isvalid[i] = fCurStatWithV.IsValid(i); |
---|
| 221 | } |
---|
| 222 | return fCurStatWithV.GetNXX(); |
---|
| 223 | } else { |
---|
| 224 | |
---|
| 225 | // initialize |
---|
| 226 | G4int i; |
---|
| 227 | for (i=0; i<G4VSURFACENXX ; i++) { |
---|
| 228 | distance[i] = kInfinity; |
---|
| 229 | areacode[i] = sOutside; |
---|
| 230 | isvalid[i] = false; |
---|
| 231 | gxx[i].set(kInfinity, kInfinity, kInfinity); |
---|
| 232 | } |
---|
| 233 | } |
---|
| 234 | |
---|
| 235 | G4ThreeVector p = ComputeLocalPoint(gp); |
---|
| 236 | G4ThreeVector v = ComputeLocalDirection(gv); |
---|
| 237 | |
---|
| 238 | #ifdef G4TWISTDEBUG |
---|
| 239 | G4cout << "Local point p = " << p << G4endl ; |
---|
| 240 | G4cout << "Local direction v = " << v << G4endl ; |
---|
| 241 | #endif |
---|
| 242 | |
---|
| 243 | G4double phi,u ; // parameters |
---|
| 244 | |
---|
| 245 | // temporary variables |
---|
| 246 | |
---|
| 247 | G4double tmpdist = kInfinity ; |
---|
| 248 | G4ThreeVector tmpxx; |
---|
| 249 | G4int tmpareacode = sOutside ; |
---|
| 250 | G4bool tmpisvalid = false ; |
---|
| 251 | |
---|
| 252 | std::vector<Intersection> xbuf ; |
---|
| 253 | Intersection xbuftmp ; |
---|
| 254 | |
---|
| 255 | // prepare some variables for the intersection finder |
---|
| 256 | |
---|
| 257 | G4double L = 2*fDz ; |
---|
| 258 | |
---|
| 259 | G4double phixz = fPhiTwist * ( p.x() * v.z() - p.z() * v.x() ) ; |
---|
| 260 | G4double phiyz = fPhiTwist * ( p.y() * v.z() - p.z() * v.y() ) ; |
---|
| 261 | |
---|
| 262 | // special case vz = 0 |
---|
| 263 | |
---|
| 264 | if ( v.z() == 0. ) { |
---|
| 265 | |
---|
| 266 | if ( std::fabs(p.z()) <= L ) { // intersection possible in z |
---|
| 267 | |
---|
| 268 | phi = p.z() * fPhiTwist / L ; // phi is determined by the z-position |
---|
| 269 | |
---|
| 270 | u = (2*(-(fdeltaY*phi*v.x()) + fPhiTwist*p.y()*v.x() + fdeltaX*phi*v.y() - fPhiTwist*p.x()*v.y()) + (fDx4plus2*fPhiTwist + 2*fDx4minus2*phi)*(v.y()*std::cos(phi) - v.x()*std::sin(phi)))/(2.* fPhiTwist*((v.x() - fTAlph*v.y())*std::cos(phi) + (fTAlph*v.x() + v.y())*std::sin(phi))) ; |
---|
| 271 | |
---|
| 272 | xbuftmp.phi = phi ; |
---|
| 273 | xbuftmp.u = u ; |
---|
| 274 | xbuftmp.areacode = sOutside ; |
---|
| 275 | xbuftmp.distance = kInfinity ; |
---|
| 276 | xbuftmp.isvalid = false ; |
---|
| 277 | |
---|
| 278 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
---|
| 279 | |
---|
| 280 | } |
---|
| 281 | |
---|
| 282 | else { // no intersection possible |
---|
| 283 | |
---|
| 284 | distance[0] = kInfinity; |
---|
| 285 | gxx[0].set(kInfinity,kInfinity,kInfinity); |
---|
| 286 | isvalid[0] = false ; |
---|
| 287 | areacode[0] = sOutside ; |
---|
| 288 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], |
---|
| 289 | areacode[0], isvalid[0], |
---|
| 290 | 0, validate, &gp, &gv); |
---|
| 291 | |
---|
| 292 | return 0; |
---|
| 293 | |
---|
| 294 | |
---|
| 295 | } // end std::fabs(p.z() <= L |
---|
| 296 | |
---|
| 297 | } // end v.z() == 0 |
---|
| 298 | |
---|
| 299 | |
---|
| 300 | // general solution for non-zero vz |
---|
| 301 | |
---|
| 302 | else { |
---|
| 303 | |
---|
| 304 | G4double c[8],sr[7],si[7] ; |
---|
| 305 | |
---|
| 306 | c[7] = -14400*(-2*phixz + 2*fTAlph*phiyz + fDx4plus2*fPhiTwist*v.z()) ; |
---|
| 307 | c[6] = 28800*(phiyz + 2*fDz*v.x() - (fdeltaX + fDx4minus2)*v.z() + fTAlph*(phixz - 2*fDz*v.y() + fdeltaY*v.z())) ; |
---|
| 308 | c[5] = -1200*(10*phixz - 48*fDz*v.y() + 24*fdeltaY*v.z() + fDx4plus2*fPhiTwist*v.z() - 2*fTAlph*(5*phiyz + 24*fDz*v.x() - 12*fdeltaX*v.z())) ; |
---|
| 309 | c[4] = -2400*(phiyz + 10*fDz*v.x() - 5*fdeltaX*v.z() + fDx4minus2*v.z() + fTAlph*(phixz - 10*fDz*v.y() + 5*fdeltaY*v.z())) ; |
---|
| 310 | c[3] = 24*(2*phixz - 200*fDz*v.y() + 100*fdeltaY*v.z() - fDx4plus2*fPhiTwist*v.z() - 2*fTAlph*(phiyz + 100*fDz*v.x() - 50*fdeltaX*v.z())) ; |
---|
| 311 | c[2] = -16*(7*fTAlph* phixz + 7*phiyz - 6*fDz*v.x() + 6*fDz*fTAlph*v.y() + 3*(fdeltaX + fDx4minus2 - fdeltaY*fTAlph)*v.z()) ; |
---|
| 312 | c[1] = 4*(9*phixz - 9*fTAlph*phiyz - 56*fDz*fTAlph*v.x() - 56*fDz*v.y() + 28*(fdeltaY + fdeltaX*fTAlph)*v.z()) ; |
---|
| 313 | c[0] = 36*(2* fDz*(v.x() - fTAlph*v.y()) - fdeltaX*v.z() + fdeltaY*fTAlph*v.z()) ; |
---|
| 314 | |
---|
| 315 | |
---|
| 316 | #ifdef G4TWISTDEBUG |
---|
| 317 | G4cout << "coef = " << c[0] << " " |
---|
| 318 | << c[1] << " " |
---|
| 319 | << c[2] << " " |
---|
| 320 | << c[3] << " " |
---|
| 321 | << c[4] << " " |
---|
| 322 | << c[5] << " " |
---|
| 323 | << c[6] << " " |
---|
| 324 | << c[7] << G4endl ; |
---|
| 325 | #endif |
---|
| 326 | |
---|
| 327 | G4JTPolynomialSolver trapEq ; |
---|
| 328 | G4int num = trapEq.FindRoots(c,7,sr,si); |
---|
| 329 | |
---|
| 330 | |
---|
| 331 | for (G4int i = 0 ; i<num ; i++ ) { // loop over all mathematical solutions |
---|
| 332 | if ( si[i]==0.0 ) { // only real solutions |
---|
| 333 | #ifdef G4TWISTDEBUG |
---|
| 334 | G4cout << "Solution " << i << " : " << sr[i] << G4endl ; |
---|
| 335 | #endif |
---|
| 336 | phi = std::fmod(sr[i] , pihalf) ; |
---|
| 337 | |
---|
| 338 | u = (2*phiyz + 4*fDz*phi*v.y() - 2*fdeltaY*phi*v.z() - fDx4plus2*fPhiTwist*v.z()*std::sin(phi) - 2*fDx4minus2*phi*v.z()*std::sin(phi))/(2*fPhiTwist*v.z()*std::cos(phi) + 2*fPhiTwist*fTAlph*v.z()*std::sin(phi)) ; |
---|
| 339 | |
---|
| 340 | xbuftmp.phi = phi ; |
---|
| 341 | xbuftmp.u = u ; |
---|
| 342 | xbuftmp.areacode = sOutside ; |
---|
| 343 | xbuftmp.distance = kInfinity ; |
---|
| 344 | xbuftmp.isvalid = false ; |
---|
| 345 | |
---|
| 346 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
---|
| 347 | |
---|
| 348 | #ifdef G4TWISTDEBUG |
---|
| 349 | G4cout << "solution " << i << " = " << phi << " , " << u << G4endl ; |
---|
| 350 | #endif |
---|
| 351 | |
---|
| 352 | } // end if real solution |
---|
| 353 | } // end loop i |
---|
| 354 | |
---|
| 355 | } // end general case |
---|
| 356 | |
---|
| 357 | |
---|
| 358 | nxx = xbuf.size() ; // save the number of solutions |
---|
| 359 | |
---|
| 360 | G4ThreeVector xxonsurface ; // point on surface |
---|
| 361 | G4ThreeVector surfacenormal ; // normal vector |
---|
| 362 | G4double deltaX ; // distance between intersection point and point on surface |
---|
| 363 | G4double theta ; // angle between track and surfacenormal |
---|
| 364 | G4double factor ; // a scaling factor |
---|
| 365 | G4int maxint = 30 ; // number of iterations |
---|
| 366 | |
---|
| 367 | |
---|
| 368 | for ( size_t k = 0 ; k<xbuf.size() ; k++ ) { |
---|
| 369 | |
---|
| 370 | #ifdef G4TWISTDEBUG |
---|
| 371 | G4cout << "Solution " << k << " : " |
---|
| 372 | << "reconstructed phiR = " << xbuf[k].phi |
---|
| 373 | << ", uR = " << xbuf[k].u << G4endl ; |
---|
| 374 | #endif |
---|
| 375 | |
---|
| 376 | phi = xbuf[k].phi ; // get the stored values for phi and u |
---|
| 377 | u = xbuf[k].u ; |
---|
| 378 | |
---|
| 379 | IsConverged = false ; // no convergence at the beginning |
---|
| 380 | |
---|
| 381 | for ( G4int i = 1 ; i<maxint ; i++ ) { |
---|
| 382 | |
---|
| 383 | xxonsurface = SurfacePoint(phi,u) ; |
---|
| 384 | surfacenormal = NormAng(phi,u) ; |
---|
| 385 | tmpdist = DistanceToPlaneWithV(p, v, xxonsurface, surfacenormal, tmpxx); |
---|
| 386 | deltaX = ( tmpxx - xxonsurface ).mag() ; |
---|
| 387 | theta = std::fabs(std::acos(v*surfacenormal) - pihalf) ; |
---|
| 388 | if ( theta < 0.001 ) { |
---|
| 389 | factor = 50 ; |
---|
| 390 | IsParallel = true ; |
---|
| 391 | } |
---|
| 392 | else { |
---|
| 393 | factor = 1 ; |
---|
| 394 | } |
---|
| 395 | |
---|
| 396 | #ifdef G4TWISTDEBUG |
---|
| 397 | G4cout << "Step i = " << i << ", distance = " << tmpdist << ", " << deltaX << G4endl ; |
---|
| 398 | G4cout << "X = " << tmpxx << G4endl ; |
---|
| 399 | #endif |
---|
| 400 | |
---|
| 401 | GetPhiUAtX(tmpxx, phi, u) ; // the new point xx is accepted and phi/u replaced |
---|
| 402 | |
---|
| 403 | #ifdef G4TWISTDEBUG |
---|
| 404 | G4cout << "approximated phi = " << phi << ", u = " << u << G4endl ; |
---|
| 405 | #endif |
---|
| 406 | |
---|
| 407 | if ( deltaX <= factor*ctol ) { IsConverged = true ; break ; } |
---|
| 408 | |
---|
| 409 | } // end iterative loop (i) |
---|
| 410 | |
---|
| 411 | |
---|
| 412 | // new code 21.09.05 O.Link |
---|
| 413 | if ( std::fabs(tmpdist)<ctol ) tmpdist = 0 ; |
---|
| 414 | |
---|
| 415 | #ifdef G4TWISTDEBUG |
---|
| 416 | G4cout << "refined solution " << phi << " , " << u << G4endl ; |
---|
| 417 | G4cout << "distance = " << tmpdist << G4endl ; |
---|
| 418 | G4cout << "local X = " << tmpxx << G4endl ; |
---|
| 419 | #endif |
---|
| 420 | |
---|
| 421 | tmpisvalid = false ; // init |
---|
| 422 | |
---|
| 423 | if ( IsConverged ) { |
---|
| 424 | |
---|
| 425 | if (validate == kValidateWithTol) { |
---|
| 426 | tmpareacode = GetAreaCode(tmpxx); |
---|
| 427 | if (!IsOutside(tmpareacode)) { |
---|
| 428 | if (tmpdist >= 0) tmpisvalid = true; |
---|
| 429 | } |
---|
| 430 | } else if (validate == kValidateWithoutTol) { |
---|
| 431 | tmpareacode = GetAreaCode(tmpxx, false); |
---|
| 432 | if (IsInside(tmpareacode)) { |
---|
| 433 | if (tmpdist >= 0) tmpisvalid = true; |
---|
| 434 | } |
---|
| 435 | } else { // kDontValidate |
---|
| 436 | G4Exception("G4TwistBoxSide::DistanceToSurface()", |
---|
| 437 | "NotImplemented kDontValidate", FatalException, |
---|
| 438 | "Feature NOT implemented !"); |
---|
| 439 | } |
---|
| 440 | |
---|
| 441 | } |
---|
| 442 | else { |
---|
| 443 | tmpdist = kInfinity; // no convergence after 10 steps |
---|
| 444 | tmpisvalid = false ; // solution is not vaild |
---|
| 445 | } |
---|
| 446 | |
---|
| 447 | |
---|
| 448 | // store the found values |
---|
| 449 | xbuf[k].xx = tmpxx ; |
---|
| 450 | xbuf[k].distance = tmpdist ; |
---|
| 451 | xbuf[k].areacode = tmpareacode ; |
---|
| 452 | xbuf[k].isvalid = tmpisvalid ; |
---|
| 453 | |
---|
| 454 | |
---|
| 455 | } // end loop over physical solutions (variable k) |
---|
| 456 | |
---|
| 457 | |
---|
| 458 | std::sort(xbuf.begin() , xbuf.end(), DistanceSort ) ; // sorting |
---|
| 459 | |
---|
| 460 | #ifdef G4TWISTDEBUG |
---|
| 461 | G4cout << G4endl << "list xbuf after sorting : " << G4endl ; |
---|
| 462 | G4cout << G4endl << G4endl ; |
---|
| 463 | #endif |
---|
| 464 | |
---|
| 465 | |
---|
| 466 | // erase identical intersection (within kCarTolerance) |
---|
| 467 | xbuf.erase( std::unique(xbuf.begin(), xbuf.end() , EqualIntersection ) , xbuf.end() ) ; |
---|
| 468 | |
---|
| 469 | |
---|
| 470 | // add guesses |
---|
| 471 | |
---|
| 472 | G4int nxxtmp = xbuf.size() ; |
---|
| 473 | |
---|
| 474 | if ( nxxtmp<2 || IsParallel ) { |
---|
| 475 | |
---|
| 476 | // positive end |
---|
| 477 | #ifdef G4TWISTDEBUG |
---|
| 478 | G4cout << "add guess at +z/2 .. " << G4endl ; |
---|
| 479 | #endif |
---|
| 480 | |
---|
| 481 | phi = fPhiTwist/2 ; |
---|
| 482 | u = 0 ; |
---|
| 483 | |
---|
| 484 | |
---|
| 485 | |
---|
| 486 | xbuftmp.phi = phi ; |
---|
| 487 | xbuftmp.u = u ; |
---|
| 488 | xbuftmp.areacode = sOutside ; |
---|
| 489 | xbuftmp.distance = kInfinity ; |
---|
| 490 | xbuftmp.isvalid = false ; |
---|
| 491 | |
---|
| 492 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
---|
| 493 | |
---|
| 494 | |
---|
| 495 | #ifdef G4TWISTDEBUG |
---|
| 496 | G4cout << "add guess at -z/2 .. " << G4endl ; |
---|
| 497 | #endif |
---|
| 498 | |
---|
| 499 | phi = -fPhiTwist/2 ; |
---|
| 500 | u = 0 ; |
---|
| 501 | |
---|
| 502 | xbuftmp.phi = phi ; |
---|
| 503 | xbuftmp.u = u ; |
---|
| 504 | xbuftmp.areacode = sOutside ; |
---|
| 505 | xbuftmp.distance = kInfinity ; |
---|
| 506 | xbuftmp.isvalid = false ; |
---|
| 507 | |
---|
| 508 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
---|
| 509 | |
---|
| 510 | for ( size_t k = nxxtmp ; k<xbuf.size() ; k++ ) { |
---|
| 511 | |
---|
| 512 | #ifdef G4TWISTDEBUG |
---|
| 513 | G4cout << "Solution " << k << " : " |
---|
| 514 | << "reconstructed phiR = " << xbuf[k].phi |
---|
| 515 | << ", uR = " << xbuf[k].u << G4endl ; |
---|
| 516 | #endif |
---|
| 517 | |
---|
| 518 | phi = xbuf[k].phi ; // get the stored values for phi and u |
---|
| 519 | u = xbuf[k].u ; |
---|
| 520 | |
---|
| 521 | IsConverged = false ; // no convergence at the beginning |
---|
| 522 | |
---|
| 523 | for ( G4int i = 1 ; i<maxint ; i++ ) { |
---|
| 524 | |
---|
| 525 | xxonsurface = SurfacePoint(phi,u) ; |
---|
| 526 | surfacenormal = NormAng(phi,u) ; |
---|
| 527 | tmpdist = DistanceToPlaneWithV(p, v, xxonsurface, surfacenormal, tmpxx); |
---|
| 528 | deltaX = ( tmpxx - xxonsurface ).mag() ; |
---|
| 529 | theta = std::fabs(std::acos(v*surfacenormal) - pihalf) ; |
---|
| 530 | if ( theta < 0.001 ) { |
---|
| 531 | factor = 50 ; |
---|
| 532 | } |
---|
| 533 | else { |
---|
| 534 | factor = 1 ; |
---|
| 535 | } |
---|
| 536 | |
---|
| 537 | #ifdef G4TWISTDEBUG |
---|
| 538 | G4cout << "Step i = " << i << ", distance = " << tmpdist << ", " << deltaX << G4endl ; |
---|
| 539 | G4cout << "X = " << tmpxx << G4endl ; |
---|
| 540 | #endif |
---|
| 541 | |
---|
| 542 | GetPhiUAtX(tmpxx, phi, u) ; // the new point xx is accepted and phi/u replaced |
---|
| 543 | |
---|
| 544 | #ifdef G4TWISTDEBUG |
---|
| 545 | G4cout << "approximated phi = " << phi << ", u = " << u << G4endl ; |
---|
| 546 | #endif |
---|
| 547 | |
---|
| 548 | if ( deltaX <= factor*ctol ) { IsConverged = true ; break ; } |
---|
| 549 | |
---|
| 550 | } // end iterative loop (i) |
---|
| 551 | |
---|
| 552 | |
---|
| 553 | // new code 21.09.05 O.Link |
---|
| 554 | if ( std::fabs(tmpdist)<ctol ) tmpdist = 0 ; |
---|
| 555 | |
---|
| 556 | #ifdef G4TWISTDEBUG |
---|
| 557 | G4cout << "refined solution " << phi << " , " << u << G4endl ; |
---|
| 558 | G4cout << "distance = " << tmpdist << G4endl ; |
---|
| 559 | G4cout << "local X = " << tmpxx << G4endl ; |
---|
| 560 | #endif |
---|
| 561 | |
---|
| 562 | tmpisvalid = false ; // init |
---|
| 563 | |
---|
| 564 | if ( IsConverged ) { |
---|
| 565 | |
---|
| 566 | if (validate == kValidateWithTol) { |
---|
| 567 | tmpareacode = GetAreaCode(tmpxx); |
---|
| 568 | if (!IsOutside(tmpareacode)) { |
---|
| 569 | if (tmpdist >= 0) tmpisvalid = true; |
---|
| 570 | } |
---|
| 571 | } else if (validate == kValidateWithoutTol) { |
---|
| 572 | tmpareacode = GetAreaCode(tmpxx, false); |
---|
| 573 | if (IsInside(tmpareacode)) { |
---|
| 574 | if (tmpdist >= 0) tmpisvalid = true; |
---|
| 575 | } |
---|
| 576 | } else { // kDontValidate |
---|
| 577 | G4Exception("G4TwistedBoxSide::DistanceToSurface()", |
---|
| 578 | "NotImplemented kDontValidate", FatalException, |
---|
| 579 | "Feature NOT implemented !"); |
---|
| 580 | } |
---|
| 581 | |
---|
| 582 | } |
---|
| 583 | else { |
---|
| 584 | tmpdist = kInfinity; // no convergence after 10 steps |
---|
| 585 | tmpisvalid = false ; // solution is not vaild |
---|
| 586 | } |
---|
| 587 | |
---|
| 588 | |
---|
| 589 | // store the found values |
---|
| 590 | xbuf[k].xx = tmpxx ; |
---|
| 591 | xbuf[k].distance = tmpdist ; |
---|
| 592 | xbuf[k].areacode = tmpareacode ; |
---|
| 593 | xbuf[k].isvalid = tmpisvalid ; |
---|
| 594 | |
---|
| 595 | |
---|
| 596 | } // end loop over physical solutions |
---|
| 597 | |
---|
| 598 | |
---|
| 599 | } // end less than 2 solutions |
---|
| 600 | |
---|
| 601 | |
---|
| 602 | // sort again |
---|
| 603 | std::sort(xbuf.begin() , xbuf.end(), DistanceSort ) ; // sorting |
---|
| 604 | |
---|
| 605 | // erase identical intersection (within kCarTolerance) |
---|
| 606 | xbuf.erase( std::unique(xbuf.begin(), xbuf.end() , EqualIntersection ) , xbuf.end() ) ; |
---|
| 607 | |
---|
| 608 | #ifdef G4TWISTDEBUG |
---|
| 609 | G4cout << G4endl << "list xbuf after sorting : " << G4endl ; |
---|
| 610 | G4cout << G4endl << G4endl ; |
---|
| 611 | #endif |
---|
| 612 | |
---|
| 613 | nxx = xbuf.size() ; // determine number of solutions again. |
---|
| 614 | |
---|
| 615 | for ( size_t i = 0 ; i<xbuf.size() ; i++ ) { |
---|
| 616 | |
---|
| 617 | distance[i] = xbuf[i].distance; |
---|
| 618 | gxx[i] = ComputeGlobalPoint(xbuf[i].xx); |
---|
| 619 | areacode[i] = xbuf[i].areacode ; |
---|
| 620 | isvalid[i] = xbuf[i].isvalid ; |
---|
| 621 | |
---|
| 622 | fCurStatWithV.SetCurrentStatus(i, gxx[i], distance[i], areacode[i], |
---|
| 623 | isvalid[i], nxx, validate, &gp, &gv); |
---|
| 624 | |
---|
| 625 | #ifdef G4TWISTDEBUG |
---|
| 626 | G4cout << "element Nr. " << i |
---|
| 627 | << ", local Intersection = " << xbuf[i].xx |
---|
| 628 | << ", distance = " << xbuf[i].distance |
---|
| 629 | << ", u = " << xbuf[i].u |
---|
| 630 | << ", phi = " << xbuf[i].phi |
---|
| 631 | << ", isvalid = " << xbuf[i].isvalid |
---|
| 632 | << G4endl ; |
---|
| 633 | #endif |
---|
| 634 | |
---|
| 635 | } // end for( i ) loop |
---|
| 636 | |
---|
| 637 | |
---|
| 638 | #ifdef G4TWISTDEBUG |
---|
| 639 | G4cout << "G4TwistBoxSide finished " << G4endl ; |
---|
| 640 | G4cout << nxx << " possible physical solutions found" << G4endl ; |
---|
| 641 | for ( G4int k= 0 ; k< nxx ; k++ ) { |
---|
| 642 | G4cout << "global intersection Point found: " << gxx[k] << G4endl ; |
---|
| 643 | G4cout << "distance = " << distance[k] << G4endl ; |
---|
| 644 | G4cout << "isvalid = " << isvalid[k] << G4endl ; |
---|
| 645 | } |
---|
| 646 | #endif |
---|
| 647 | |
---|
| 648 | return nxx ; |
---|
| 649 | |
---|
| 650 | } |
---|
| 651 | |
---|
| 652 | |
---|
| 653 | //===================================================================== |
---|
| 654 | //* DistanceToSurface ------------------------------------------------- |
---|
| 655 | |
---|
| 656 | G4int G4TwistBoxSide::DistanceToSurface(const G4ThreeVector &gp, |
---|
| 657 | G4ThreeVector gxx[], |
---|
| 658 | G4double distance[], |
---|
| 659 | G4int areacode[]) |
---|
| 660 | { |
---|
| 661 | // to do |
---|
| 662 | |
---|
| 663 | static const G4double ctol = 0.5 * kCarTolerance; |
---|
| 664 | |
---|
| 665 | fCurStat.ResetfDone(kDontValidate, &gp); |
---|
| 666 | |
---|
| 667 | if (fCurStat.IsDone()) { |
---|
| 668 | G4int i; |
---|
| 669 | for (i=0; i<fCurStat.GetNXX(); i++) { |
---|
| 670 | gxx[i] = fCurStat.GetXX(i); |
---|
| 671 | distance[i] = fCurStat.GetDistance(i); |
---|
| 672 | areacode[i] = fCurStat.GetAreacode(i); |
---|
| 673 | } |
---|
| 674 | return fCurStat.GetNXX(); |
---|
| 675 | } else { |
---|
| 676 | // initialize |
---|
| 677 | G4int i; |
---|
| 678 | for (i=0; i<G4VSURFACENXX; i++) { |
---|
| 679 | distance[i] = kInfinity; |
---|
| 680 | areacode[i] = sOutside; |
---|
| 681 | gxx[i].set(kInfinity, kInfinity, kInfinity); |
---|
| 682 | } |
---|
| 683 | } |
---|
| 684 | |
---|
| 685 | G4ThreeVector p = ComputeLocalPoint(gp); |
---|
| 686 | G4ThreeVector xx; // intersection point |
---|
| 687 | G4ThreeVector xxonsurface ; // interpolated intersection point |
---|
| 688 | |
---|
| 689 | // the surfacenormal at that surface point |
---|
| 690 | G4double phiR = 0 ; // |
---|
| 691 | G4double uR = 0 ; |
---|
| 692 | |
---|
| 693 | G4ThreeVector surfacenormal ; |
---|
| 694 | G4double deltaX ; |
---|
| 695 | |
---|
| 696 | G4int maxint = 20 ; |
---|
| 697 | |
---|
| 698 | for ( G4int i = 1 ; i<maxint ; i++ ) { |
---|
| 699 | |
---|
| 700 | xxonsurface = SurfacePoint(phiR,uR) ; |
---|
| 701 | surfacenormal = NormAng(phiR,uR) ; |
---|
| 702 | distance[0] = DistanceToPlane(p, xxonsurface, surfacenormal, xx); // new XX |
---|
| 703 | deltaX = ( xx - xxonsurface ).mag() ; |
---|
| 704 | |
---|
| 705 | #ifdef G4TWISTDEBUG |
---|
| 706 | G4cout << "i = " << i << ", distance = " << distance[0] << ", " << deltaX << G4endl ; |
---|
| 707 | G4cout << "X = " << xx << G4endl ; |
---|
| 708 | #endif |
---|
| 709 | |
---|
| 710 | // the new point xx is accepted and phi/psi replaced |
---|
| 711 | GetPhiUAtX(xx, phiR, uR) ; |
---|
| 712 | |
---|
| 713 | if ( deltaX <= ctol ) { break ; } |
---|
| 714 | |
---|
| 715 | } |
---|
| 716 | |
---|
| 717 | // check validity of solution ( valid phi,psi ) |
---|
| 718 | |
---|
| 719 | G4double halfphi = 0.5*fPhiTwist ; |
---|
| 720 | G4double uMax = GetBoundaryMax(phiR) ; |
---|
| 721 | |
---|
| 722 | if ( phiR > halfphi ) phiR = halfphi ; |
---|
| 723 | if ( phiR < -halfphi ) phiR = -halfphi ; |
---|
| 724 | if ( uR > uMax ) uR = uMax ; |
---|
| 725 | if ( uR < -uMax ) uR = -uMax ; |
---|
| 726 | |
---|
| 727 | xxonsurface = SurfacePoint(phiR,uR) ; |
---|
| 728 | distance[0] = ( p - xx ).mag() ; |
---|
| 729 | if ( distance[0] <= ctol ) { distance[0] = 0 ; } |
---|
| 730 | |
---|
| 731 | // end of validity |
---|
| 732 | |
---|
| 733 | #ifdef G4TWISTDEBUG |
---|
| 734 | G4cout << "refined solution " << phiR << " , " << uR << " , " << G4endl ; |
---|
| 735 | G4cout << "distance = " << distance[0] << G4endl ; |
---|
| 736 | G4cout << "X = " << xx << G4endl ; |
---|
| 737 | #endif |
---|
| 738 | |
---|
| 739 | G4bool isvalid = true; |
---|
| 740 | gxx[0] = ComputeGlobalPoint(xx); |
---|
| 741 | |
---|
| 742 | #ifdef G4TWISTDEBUG |
---|
| 743 | G4cout << "intersection Point found: " << gxx[0] << G4endl ; |
---|
| 744 | G4cout << "distance = " << distance[0] << G4endl ; |
---|
| 745 | #endif |
---|
| 746 | |
---|
| 747 | fCurStat.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
---|
| 748 | isvalid, 1, kDontValidate, &gp); |
---|
| 749 | return 1; |
---|
| 750 | |
---|
| 751 | |
---|
| 752 | } |
---|
| 753 | |
---|
| 754 | |
---|
| 755 | //===================================================================== |
---|
| 756 | //* GetAreaCode ------------------------------------------------------- |
---|
| 757 | |
---|
| 758 | G4int G4TwistBoxSide::GetAreaCode(const G4ThreeVector &xx, |
---|
| 759 | G4bool withTol) |
---|
| 760 | { |
---|
| 761 | // We must use the function in local coordinate system. |
---|
| 762 | // See the description of DistanceToSurface(p,v). |
---|
| 763 | |
---|
| 764 | static const G4double ctol = 0.5 * kCarTolerance; |
---|
| 765 | |
---|
| 766 | G4double phi ; |
---|
| 767 | G4double yprime ; |
---|
| 768 | GetPhiUAtX(xx, phi,yprime ) ; |
---|
| 769 | |
---|
| 770 | G4double fYAxisMax = GetBoundaryMax(phi) ; // Boundaries are symmetric |
---|
| 771 | G4double fYAxisMin = - fYAxisMax ; |
---|
| 772 | |
---|
| 773 | #ifdef G4TWISTDEBUG |
---|
| 774 | G4cout << "GetAreaCode: phi = " << phi << G4endl ; |
---|
| 775 | G4cout << "GetAreaCode: yprime = " << yprime << G4endl ; |
---|
| 776 | G4cout << "Intervall is " << fYAxisMin << " to " << fYAxisMax << G4endl ; |
---|
| 777 | #endif |
---|
| 778 | |
---|
| 779 | G4int areacode = sInside; |
---|
| 780 | |
---|
| 781 | if (fAxis[0] == kYAxis && fAxis[1] == kZAxis) { |
---|
| 782 | |
---|
| 783 | G4int zaxis = 1; |
---|
| 784 | |
---|
| 785 | if (withTol) { |
---|
| 786 | |
---|
| 787 | G4bool isoutside = false; |
---|
| 788 | |
---|
| 789 | // test boundary of yaxis |
---|
| 790 | |
---|
| 791 | if (yprime < fYAxisMin + ctol) { |
---|
| 792 | areacode |= (sAxis0 & (sAxisY | sAxisMin)) | sBoundary; |
---|
| 793 | if (yprime <= fYAxisMin - ctol) isoutside = true; |
---|
| 794 | |
---|
| 795 | } else if (yprime > fYAxisMax - ctol) { |
---|
| 796 | areacode |= (sAxis0 & (sAxisY | sAxisMax)) | sBoundary; |
---|
| 797 | if (yprime >= fYAxisMax + ctol) isoutside = true; |
---|
| 798 | } |
---|
| 799 | |
---|
| 800 | // test boundary of z-axis |
---|
| 801 | |
---|
| 802 | if (xx.z() < fAxisMin[zaxis] + ctol) { |
---|
| 803 | areacode |= (sAxis1 & (sAxisZ | sAxisMin)); |
---|
| 804 | |
---|
| 805 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
| 806 | else areacode |= sBoundary; |
---|
| 807 | if (xx.z() <= fAxisMin[zaxis] - ctol) isoutside = true; |
---|
| 808 | |
---|
| 809 | } else if (xx.z() > fAxisMax[zaxis] - ctol) { |
---|
| 810 | areacode |= (sAxis1 & (sAxisZ | sAxisMax)); |
---|
| 811 | |
---|
| 812 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
| 813 | else areacode |= sBoundary; |
---|
| 814 | if (xx.z() >= fAxisMax[zaxis] + ctol) isoutside = true; |
---|
| 815 | } |
---|
| 816 | |
---|
| 817 | // if isoutside = true, clear inside bit. |
---|
| 818 | // if not on boundary, add axis information. |
---|
| 819 | |
---|
| 820 | if (isoutside) { |
---|
| 821 | G4int tmpareacode = areacode & (~sInside); |
---|
| 822 | areacode = tmpareacode; |
---|
| 823 | } else if ((areacode & sBoundary) != sBoundary) { |
---|
| 824 | areacode |= (sAxis0 & sAxisY) | (sAxis1 & sAxisZ); |
---|
| 825 | } |
---|
| 826 | |
---|
| 827 | } else { |
---|
| 828 | |
---|
| 829 | // boundary of y-axis |
---|
| 830 | |
---|
| 831 | if (yprime < fYAxisMin ) { |
---|
| 832 | areacode |= (sAxis0 & (sAxisY | sAxisMin)) | sBoundary; |
---|
| 833 | } else if (yprime > fYAxisMax) { |
---|
| 834 | areacode |= (sAxis0 & (sAxisY | sAxisMax)) | sBoundary; |
---|
| 835 | } |
---|
| 836 | |
---|
| 837 | // boundary of z-axis |
---|
| 838 | |
---|
| 839 | if (xx.z() < fAxisMin[zaxis]) { |
---|
| 840 | areacode |= (sAxis1 & (sAxisZ | sAxisMin)); |
---|
| 841 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
| 842 | else areacode |= sBoundary; |
---|
| 843 | |
---|
| 844 | } else if (xx.z() > fAxisMax[zaxis]) { |
---|
| 845 | areacode |= (sAxis1 & (sAxisZ | sAxisMax)) ; |
---|
| 846 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
| 847 | else areacode |= sBoundary; |
---|
| 848 | } |
---|
| 849 | |
---|
| 850 | if ((areacode & sBoundary) != sBoundary) { |
---|
| 851 | areacode |= (sAxis0 & sAxisY) | (sAxis1 & sAxisZ); |
---|
| 852 | } |
---|
| 853 | } |
---|
| 854 | return areacode; |
---|
| 855 | } else { |
---|
| 856 | G4Exception("G4TwistBoxSide::GetAreaCode()", |
---|
| 857 | "NotImplemented", FatalException, |
---|
| 858 | "Feature NOT implemented !"); |
---|
| 859 | } |
---|
| 860 | return areacode; |
---|
| 861 | } |
---|
| 862 | |
---|
| 863 | //===================================================================== |
---|
| 864 | //* SetCorners() ------------------------------------------------------ |
---|
| 865 | |
---|
| 866 | void G4TwistBoxSide::SetCorners() |
---|
| 867 | { |
---|
| 868 | |
---|
| 869 | // Set Corner points in local coodinate. |
---|
| 870 | |
---|
| 871 | if (fAxis[0] == kYAxis && fAxis[1] == kZAxis) { |
---|
| 872 | |
---|
| 873 | G4double x, y, z; |
---|
| 874 | |
---|
| 875 | // corner of Axis0min and Axis1min |
---|
| 876 | |
---|
| 877 | x = -fdeltaX/2. + (fDx2 - fDy1*fTAlph)*std::cos(fPhiTwist/2.) - fDy1*std::sin(fPhiTwist/2.) ; |
---|
| 878 | y = -fdeltaY/2. - fDy1*std::cos(fPhiTwist/2.) + (-fDx2 + fDy1*fTAlph)*std::sin(fPhiTwist/2.) ; |
---|
| 879 | z = -fDz ; |
---|
| 880 | |
---|
| 881 | SetCorner(sC0Min1Min, x, y, z); |
---|
| 882 | |
---|
| 883 | // corner of Axis0max and Axis1min |
---|
| 884 | |
---|
| 885 | x = -fdeltaX/2. + (fDx2 + fDy1*fTAlph)*std::cos(fPhiTwist/2.) + fDy1*std::sin(fPhiTwist/2.) ; |
---|
| 886 | y = -fdeltaY/2. + fDy1*std::cos(fPhiTwist/2.) - (fDx2 + fDy1*fTAlph)*std::sin(fPhiTwist/2.) ; |
---|
| 887 | z = -fDz ; |
---|
| 888 | |
---|
| 889 | SetCorner(sC0Max1Min, x, y, z); |
---|
| 890 | |
---|
| 891 | // corner of Axis0max and Axis1max |
---|
| 892 | |
---|
| 893 | x = fdeltaX/2. + (fDx4 + fDy2*fTAlph)*std::cos(fPhiTwist/2.) - fDy2*std::sin(fPhiTwist/2.) ; |
---|
| 894 | y = fdeltaY/2. + fDy2*std::cos(fPhiTwist/2.) + (fDx4 + fDy2*fTAlph)*std::sin(fPhiTwist/2.) ; |
---|
| 895 | z = fDz ; |
---|
| 896 | |
---|
| 897 | SetCorner(sC0Max1Max, x, y, z); |
---|
| 898 | |
---|
| 899 | // corner of Axis0min and Axis1max |
---|
| 900 | |
---|
| 901 | x = fdeltaX/2. + (fDx4 - fDy2*fTAlph)*std::cos(fPhiTwist/2.) + fDy2*std::sin(fPhiTwist/2.) ; |
---|
| 902 | y = fdeltaY/2. - fDy2*std::cos(fPhiTwist/2.) + (fDx4 - fDy2*fTAlph)*std::sin(fPhiTwist/2.) ; |
---|
| 903 | z = fDz ; |
---|
| 904 | |
---|
| 905 | SetCorner(sC0Min1Max, x, y, z); |
---|
| 906 | |
---|
| 907 | } else { |
---|
| 908 | |
---|
| 909 | G4Exception("G4TwistBoxSide::SetCorners()", |
---|
| 910 | "NotImplemented", FatalException, |
---|
| 911 | "Method NOT implemented !"); |
---|
| 912 | } |
---|
| 913 | } |
---|
| 914 | |
---|
| 915 | //===================================================================== |
---|
| 916 | //* SetBoundaries() --------------------------------------------------- |
---|
| 917 | |
---|
| 918 | void G4TwistBoxSide::SetBoundaries() |
---|
| 919 | { |
---|
| 920 | // Set direction-unit vector of boundary-lines in local coodinate. |
---|
| 921 | // |
---|
| 922 | |
---|
| 923 | G4ThreeVector direction; |
---|
| 924 | |
---|
| 925 | if (fAxis[0] == kYAxis && fAxis[1] == kZAxis) { |
---|
| 926 | |
---|
| 927 | // sAxis0 & sAxisMin |
---|
| 928 | direction = GetCorner(sC0Min1Max) - GetCorner(sC0Min1Min); |
---|
| 929 | direction = direction.unit(); |
---|
| 930 | SetBoundary(sAxis0 & (sAxisY | sAxisMin), direction, |
---|
| 931 | GetCorner(sC0Min1Min), sAxisZ) ; |
---|
| 932 | |
---|
| 933 | // sAxis0 & sAxisMax |
---|
| 934 | direction = GetCorner(sC0Max1Max) - GetCorner(sC0Max1Min); |
---|
| 935 | direction = direction.unit(); |
---|
| 936 | SetBoundary(sAxis0 & (sAxisY | sAxisMax), direction, |
---|
| 937 | GetCorner(sC0Max1Min), sAxisZ); |
---|
| 938 | |
---|
| 939 | // sAxis1 & sAxisMin |
---|
| 940 | direction = GetCorner(sC0Max1Min) - GetCorner(sC0Min1Min); |
---|
| 941 | direction = direction.unit(); |
---|
| 942 | SetBoundary(sAxis1 & (sAxisZ | sAxisMin), direction, |
---|
| 943 | GetCorner(sC0Min1Min), sAxisY); |
---|
| 944 | |
---|
| 945 | // sAxis1 & sAxisMax |
---|
| 946 | direction = GetCorner(sC0Max1Max) - GetCorner(sC0Min1Max); |
---|
| 947 | direction = direction.unit(); |
---|
| 948 | SetBoundary(sAxis1 & (sAxisZ | sAxisMax), direction, |
---|
| 949 | GetCorner(sC0Min1Max), sAxisY); |
---|
| 950 | |
---|
| 951 | } else { |
---|
| 952 | |
---|
| 953 | G4Exception("G4TwistBoxSide::SetCorners()", |
---|
| 954 | "NotImplemented", FatalException, |
---|
| 955 | "Feature NOT implemented !"); |
---|
| 956 | } |
---|
| 957 | } |
---|
| 958 | |
---|
| 959 | |
---|
| 960 | void G4TwistBoxSide::GetPhiUAtX( G4ThreeVector p, G4double &phi, G4double &u) |
---|
| 961 | { |
---|
| 962 | // find closest point XX on surface for a given point p |
---|
| 963 | // X0 is a point on the surface, d is the direction ( both for a fixed z = pz) |
---|
| 964 | |
---|
| 965 | // phi is given by the z coordinate of p |
---|
| 966 | |
---|
| 967 | phi = p.z()/(2*fDz)*fPhiTwist ; |
---|
| 968 | |
---|
| 969 | u = -(fTAlph*(fDx4plus2*fPhiTwist + 2*fDx4minus2*phi) + 2*(fdeltaY*phi + fdeltaX*fTAlph*phi - fPhiTwist*(fTAlph*p.x() + p.y()))* std::cos(phi) + 2*(-(fdeltaX*phi) + fdeltaY*fTAlph*phi + fPhiTwist*(p.x() - fTAlph*p.y()))*std::sin(phi))/(2.*(fPhiTwist + fPhiTwist*fTAlph*fTAlph)) ; |
---|
| 970 | |
---|
| 971 | |
---|
| 972 | } |
---|
| 973 | |
---|
| 974 | |
---|
| 975 | G4ThreeVector G4TwistBoxSide::ProjectPoint(const G4ThreeVector &p, |
---|
| 976 | G4bool isglobal) |
---|
| 977 | { |
---|
| 978 | // Get Rho at p.z() on Hyperbolic Surface. |
---|
| 979 | G4ThreeVector tmpp; |
---|
| 980 | if (isglobal) { |
---|
| 981 | tmpp = fRot.inverse()*p - fTrans; |
---|
| 982 | } else { |
---|
| 983 | tmpp = p; |
---|
| 984 | } |
---|
| 985 | |
---|
| 986 | G4double phi ; |
---|
| 987 | G4double u ; |
---|
| 988 | |
---|
| 989 | GetPhiUAtX( tmpp, phi, u ) ; // calculate (phi, u) for a point p close the surface |
---|
| 990 | |
---|
| 991 | G4ThreeVector xx = SurfacePoint(phi,u) ; // transform back to cartesian coordinates |
---|
| 992 | |
---|
| 993 | if (isglobal) { |
---|
| 994 | return (fRot * xx + fTrans); |
---|
| 995 | } else { |
---|
| 996 | return xx; |
---|
| 997 | } |
---|
| 998 | } |
---|
| 999 | |
---|
| 1000 | void G4TwistBoxSide::GetFacets( G4int m, G4int n, G4double xyz[][3], G4int faces[][4], G4int iside ) |
---|
| 1001 | { |
---|
| 1002 | |
---|
| 1003 | G4double phi ; |
---|
| 1004 | G4double b ; |
---|
| 1005 | |
---|
| 1006 | G4double z, u ; // the two parameters for the surface equation |
---|
| 1007 | G4ThreeVector p ; // a point on the surface, given by (z,u) |
---|
| 1008 | |
---|
| 1009 | G4int nnode ; |
---|
| 1010 | G4int nface ; |
---|
| 1011 | |
---|
| 1012 | // calculate the (n-1)*(m-1) vertices |
---|
| 1013 | |
---|
| 1014 | G4int i,j ; |
---|
| 1015 | |
---|
| 1016 | for ( i = 0 ; i<n ; i++ ) { |
---|
| 1017 | |
---|
| 1018 | z = -fDz+i*(2.*fDz)/(n-1) ; |
---|
| 1019 | phi = z*fPhiTwist/(2*fDz) ; |
---|
| 1020 | b = GetValueB(phi) ; |
---|
| 1021 | |
---|
| 1022 | for ( j = 0 ; j<m ; j++ ) { |
---|
| 1023 | |
---|
| 1024 | nnode = GetNode(i,j,m,n,iside) ; |
---|
| 1025 | u = -b/2 +j*b/(m-1) ; |
---|
| 1026 | p = SurfacePoint(phi,u,true) ; // surface point in global coordinate system |
---|
| 1027 | |
---|
| 1028 | xyz[nnode][0] = p.x() ; |
---|
| 1029 | xyz[nnode][1] = p.y() ; |
---|
| 1030 | xyz[nnode][2] = p.z() ; |
---|
| 1031 | |
---|
| 1032 | if ( i<n-1 && j<m-1 ) { // conterclock wise filling |
---|
| 1033 | |
---|
| 1034 | nface = GetFace(i,j,m,n,iside) ; |
---|
| 1035 | faces[nface][0] = GetEdgeVisibility(i,j,m,n,0,-1) * (GetNode(i ,j ,m,n,iside)+1) ; // fortran numbering |
---|
| 1036 | faces[nface][1] = GetEdgeVisibility(i,j,m,n,1,-1) * (GetNode(i ,j+1,m,n,iside)+1) ; |
---|
| 1037 | faces[nface][2] = GetEdgeVisibility(i,j,m,n,2,-1) * (GetNode(i+1,j+1,m,n,iside)+1) ; |
---|
| 1038 | faces[nface][3] = GetEdgeVisibility(i,j,m,n,3,-1) * (GetNode(i+1,j ,m,n,iside)+1) ; |
---|
| 1039 | |
---|
| 1040 | } |
---|
| 1041 | } |
---|
| 1042 | } |
---|
| 1043 | } |
---|