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26 // 26 //
27 // G4QuadrangularFacet class implementation. 27 // G4QuadrangularFacet class implementation.
28 // 28 //
29 // 31 October 2004 P R Truscott, QinetiQ Ltd, 29 // 31 October 2004 P R Truscott, QinetiQ Ltd, UK - Created.
30 // 12 October 2012 M Gayer, CERN 30 // 12 October 2012 M Gayer, CERN
31 // New implementation reducing 31 // New implementation reducing memory requirements by 50%,
32 // and considerable CPU speedu 32 // and considerable CPU speedup together with the new
33 // implementation of G4Tessell 33 // implementation of G4TessellatedSolid.
34 // 29 February 2016 E Tcherniaev, CERN 34 // 29 February 2016 E Tcherniaev, CERN
35 // Added exhaustive tests to c 35 // Added exhaustive tests to catch various problems with a
36 // quadrangular facet: colline 36 // quadrangular facet: collinear vertices, non planar surface,
37 // degenerate, concave or self 37 // degenerate, concave or self intersecting quadrilateral.
38 // ------------------------------------------- 38 // --------------------------------------------------------------------
39 39
40 #include "G4QuadrangularFacet.hh" 40 #include "G4QuadrangularFacet.hh"
41 #include "geomdefs.hh" 41 #include "geomdefs.hh"
42 #include "Randomize.hh" 42 #include "Randomize.hh"
43 43
44 using namespace std; 44 using namespace std;
45 45
46 ////////////////////////////////////////////// 46 ///////////////////////////////////////////////////////////////////////////////
47 // 47 //
48 // Constructing two adjacent G4TriangularFacet 48 // Constructing two adjacent G4TriangularFacet
49 // Not efficient, but practical... 49 // Not efficient, but practical...
50 // 50 //
51 G4QuadrangularFacet::G4QuadrangularFacet (cons 51 G4QuadrangularFacet::G4QuadrangularFacet (const G4ThreeVector& vt0,
52 cons 52 const G4ThreeVector& vt1,
53 cons 53 const G4ThreeVector& vt2,
54 cons 54 const G4ThreeVector& vt3,
55 55 G4FacetVertexType vertexType)
>> 56 : G4VFacet()
56 { 57 {
57 G4double delta = 1.0 * kCarTolerance; // 58 G4double delta = 1.0 * kCarTolerance; // dimension tolerance
58 G4double epsilon = 0.01 * kCarTolerance; // 59 G4double epsilon = 0.01 * kCarTolerance; // planarity tolerance
59 60
60 G4ThreeVector e1, e2, e3; 61 G4ThreeVector e1, e2, e3;
61 SetVertex(0, vt0); 62 SetVertex(0, vt0);
62 if (vertexType == ABSOLUTE) 63 if (vertexType == ABSOLUTE)
63 { 64 {
64 SetVertex(1, vt1); 65 SetVertex(1, vt1);
65 SetVertex(2, vt2); 66 SetVertex(2, vt2);
66 SetVertex(3, vt3); 67 SetVertex(3, vt3);
67 68
68 e1 = vt1 - vt0; 69 e1 = vt1 - vt0;
69 e2 = vt2 - vt0; 70 e2 = vt2 - vt0;
70 e3 = vt3 - vt0; 71 e3 = vt3 - vt0;
71 } 72 }
72 else 73 else
73 { 74 {
74 SetVertex(1, vt0 + vt1); 75 SetVertex(1, vt0 + vt1);
75 SetVertex(2, vt0 + vt2); 76 SetVertex(2, vt0 + vt2);
76 SetVertex(3, vt0 + vt3); 77 SetVertex(3, vt0 + vt3);
77 78
78 e1 = vt1; 79 e1 = vt1;
79 e2 = vt2; 80 e2 = vt2;
80 e3 = vt3; 81 e3 = vt3;
81 } 82 }
82 83
83 // Check length of sides and diagonals 84 // Check length of sides and diagonals
84 // 85 //
85 G4double leng1 = e1.mag(); 86 G4double leng1 = e1.mag();
86 G4double leng2 = (e2-e1).mag(); 87 G4double leng2 = (e2-e1).mag();
87 G4double leng3 = (e3-e2).mag(); 88 G4double leng3 = (e3-e2).mag();
88 G4double leng4 = e3.mag(); 89 G4double leng4 = e3.mag();
89 90
90 G4double diag1 = e2.mag(); 91 G4double diag1 = e2.mag();
91 G4double diag2 = (e3-e1).mag(); 92 G4double diag2 = (e3-e1).mag();
92 93
93 if (leng1 <= delta || leng2 <= delta || leng 94 if (leng1 <= delta || leng2 <= delta || leng3 <= delta || leng4 <= delta ||
94 diag1 <= delta || diag2 <= delta) 95 diag1 <= delta || diag2 <= delta)
95 { 96 {
96 ostringstream message; 97 ostringstream message;
97 message << "Sides/diagonals of facet are t 98 message << "Sides/diagonals of facet are too small." << G4endl
98 << "P0 = " << GetVertex(0) << G4en 99 << "P0 = " << GetVertex(0) << G4endl
99 << "P1 = " << GetVertex(1) << G4en 100 << "P1 = " << GetVertex(1) << G4endl
100 << "P2 = " << GetVertex(2) << G4en 101 << "P2 = " << GetVertex(2) << G4endl
101 << "P3 = " << GetVertex(3) << G4en 102 << "P3 = " << GetVertex(3) << G4endl
102 << "Side1 length (P0->P1) = " << l 103 << "Side1 length (P0->P1) = " << leng1 << G4endl
103 << "Side2 length (P1->P2) = " << l 104 << "Side2 length (P1->P2) = " << leng2 << G4endl
104 << "Side3 length (P2->P3) = " << l 105 << "Side3 length (P2->P3) = " << leng3 << G4endl
105 << "Side4 length (P3->P0) = " << l 106 << "Side4 length (P3->P0) = " << leng4 << G4endl
106 << "Diagonal1 length (P0->P2) = " 107 << "Diagonal1 length (P0->P2) = " << diag1 << G4endl
107 << "Diagonal2 length (P1->P3) = " 108 << "Diagonal2 length (P1->P3) = " << diag2;
108 G4Exception("G4QuadrangularFacet::G4Quadra 109 G4Exception("G4QuadrangularFacet::G4QuadrangularFacet()",
109 "GeomSolids1001", JustWarning, 110 "GeomSolids1001", JustWarning, message);
110 return; 111 return;
111 } 112 }
112 113
113 // Check that vertices are not collinear 114 // Check that vertices are not collinear
114 // 115 //
115 G4double s1 = (e1.cross(e2)).mag()*0.5; 116 G4double s1 = (e1.cross(e2)).mag()*0.5;
116 G4double s2 = ((e2-e1).cross(e3-e2)).mag()*0 117 G4double s2 = ((e2-e1).cross(e3-e2)).mag()*0.5;
117 G4double s3 = (e2.cross(e3)).mag()*0.5; 118 G4double s3 = (e2.cross(e3)).mag()*0.5;
118 G4double s4 = (e1.cross(e3)).mag()*0.5; 119 G4double s4 = (e1.cross(e3)).mag()*0.5;
119 120
120 G4double h1 = 2.*s1 / std::max(std::max(leng 121 G4double h1 = 2.*s1 / std::max(std::max(leng1,leng2),diag1);
121 G4double h2 = 2.*s2 / std::max(std::max(leng 122 G4double h2 = 2.*s2 / std::max(std::max(leng2,leng3),diag2);
122 G4double h3 = 2.*s3 / std::max(std::max(leng 123 G4double h3 = 2.*s3 / std::max(std::max(leng3,leng4),diag1);
123 G4double h4 = 2.*s4 / std::max(std::max(leng 124 G4double h4 = 2.*s4 / std::max(std::max(leng4,leng1),diag2);
124 125
125 if (h1 <= delta || h2 <= delta || h3 <= delt 126 if (h1 <= delta || h2 <= delta || h3 <= delta || h4 <= delta )
126 { 127 {
127 ostringstream message; 128 ostringstream message;
128 message << "Facet has three or more collin 129 message << "Facet has three or more collinear vertices." << G4endl
129 << "P0 = " << GetVertex(0) << G4en 130 << "P0 = " << GetVertex(0) << G4endl
130 << "P1 = " << GetVertex(1) << G4en 131 << "P1 = " << GetVertex(1) << G4endl
131 << "P2 = " << GetVertex(2) << G4en 132 << "P2 = " << GetVertex(2) << G4endl
132 << "P3 = " << GetVertex(3) << G4en 133 << "P3 = " << GetVertex(3) << G4endl
133 << "Smallest heights:" << G4endl << 134 << "Height in P0-P1-P2 = " << h1 << G4endl
134 << " in triangle P0-P1-P2 = " << << 135 << "Height in P1-P2-P3 = " << h2 << G4endl
135 << " in triangle P1-P2-P3 = " << << 136 << "Height in P2-P3-P4 = " << h3 << G4endl
136 << " in triangle P2-P3-P0 = " << << 137 << "Height in P4-P0-P1 = " << h4;
137 << " in triangle P3-P0-P1 = " << <<
138 G4Exception("G4QuadrangularFacet::G4Quadra 138 G4Exception("G4QuadrangularFacet::G4QuadrangularFacet()",
139 "GeomSolids1001", JustWarning, messa 139 "GeomSolids1001", JustWarning, message);
140 return; 140 return;
141 } 141 }
142 142
143 // Check that vertices are coplanar by compu 143 // Check that vertices are coplanar by computing minimal
144 // height of tetrahedron comprising of verti 144 // height of tetrahedron comprising of vertices
145 // 145 //
146 G4double smax = std::max( std::max(s1,s2), s 146 G4double smax = std::max( std::max(s1,s2), std::max(s3,s4) );
147 G4double hmin = 0.5 * std::fabs( e1.dot(e2.c 147 G4double hmin = 0.5 * std::fabs( e1.dot(e2.cross(e3)) ) / smax;
148 if (hmin >= epsilon) 148 if (hmin >= epsilon)
149 { 149 {
150 ostringstream message; 150 ostringstream message;
151 message << "Facet is not planar." << G4end 151 message << "Facet is not planar." << G4endl
152 << "Disrepancy = " << hmin << G4en 152 << "Disrepancy = " << hmin << G4endl
153 << "P0 = " << GetVertex(0) << G4en 153 << "P0 = " << GetVertex(0) << G4endl
154 << "P1 = " << GetVertex(1) << G4en 154 << "P1 = " << GetVertex(1) << G4endl
155 << "P2 = " << GetVertex(2) << G4en 155 << "P2 = " << GetVertex(2) << G4endl
156 << "P3 = " << GetVertex(3); 156 << "P3 = " << GetVertex(3);
157 G4Exception("G4QuadrangularFacet::G4Quadra 157 G4Exception("G4QuadrangularFacet::G4QuadrangularFacet()",
158 "GeomSolids1001", JustWarning, messa 158 "GeomSolids1001", JustWarning, message);
159 return; 159 return;
160 } 160 }
161 161
162 // Check that facet is convex by computing c 162 // Check that facet is convex by computing crosspoint
163 // of diagonals 163 // of diagonals
164 // 164 //
165 G4ThreeVector normal = e2.cross(e3-e1); 165 G4ThreeVector normal = e2.cross(e3-e1);
166 G4double s = kInfinity, t = kInfinity, magni 166 G4double s = kInfinity, t = kInfinity, magnitude2 = normal.mag2();
167 if (magnitude2 > delta*delta) // check: magn 167 if (magnitude2 > delta*delta) // check: magnitude2 != 0.
168 { 168 {
169 s = normal.dot(e1.cross(e3-e1)) / magnitud 169 s = normal.dot(e1.cross(e3-e1)) / magnitude2;
170 t = normal.dot(e1.cross(e2)) / magnitud 170 t = normal.dot(e1.cross(e2)) / magnitude2;
171 } 171 }
172 if (s <= 0. || s >= 1. || t <= 0. || t >= 1. 172 if (s <= 0. || s >= 1. || t <= 0. || t >= 1.)
173 { 173 {
174 ostringstream message; 174 ostringstream message;
175 message << "Facet is not convex." << G4end 175 message << "Facet is not convex." << G4endl
176 << "Parameters of crosspoint of di 176 << "Parameters of crosspoint of diagonals: "
177 << s << " and " << t << G4endl 177 << s << " and " << t << G4endl
178 << "should both be within (0,1) ra 178 << "should both be within (0,1) range" << G4endl
179 << "P0 = " << GetVertex(0) << G4endl 179 << "P0 = " << GetVertex(0) << G4endl
180 << "P1 = " << GetVertex(1) << G4endl 180 << "P1 = " << GetVertex(1) << G4endl
181 << "P2 = " << GetVertex(2) << G4endl 181 << "P2 = " << GetVertex(2) << G4endl
182 << "P3 = " << GetVertex(3); 182 << "P3 = " << GetVertex(3);
183 G4Exception("G4QuadrangularFacet::G4Quadra 183 G4Exception("G4QuadrangularFacet::G4QuadrangularFacet()",
184 "GeomSolids1001", JustWarning, messa 184 "GeomSolids1001", JustWarning, message);
185 return; 185 return;
186 } 186 }
187 187
188 // Define facet 188 // Define facet
189 // 189 //
190 fFacet1 = G4TriangularFacet(GetVertex(0),Get 190 fFacet1 = G4TriangularFacet(GetVertex(0),GetVertex(1),GetVertex(2),ABSOLUTE);
191 fFacet2 = G4TriangularFacet(GetVertex(0),Get 191 fFacet2 = G4TriangularFacet(GetVertex(0),GetVertex(2),GetVertex(3),ABSOLUTE);
192 192
193 normal = normal.unit(); 193 normal = normal.unit();
194 fFacet1.SetSurfaceNormal(normal); 194 fFacet1.SetSurfaceNormal(normal);
195 fFacet2.SetSurfaceNormal(normal); 195 fFacet2.SetSurfaceNormal(normal);
196 196
197 G4ThreeVector vtmp = 0.5 * (e1 + e2); 197 G4ThreeVector vtmp = 0.5 * (e1 + e2);
198 fCircumcentre = GetVertex(0) + vtmp; 198 fCircumcentre = GetVertex(0) + vtmp;
199 G4double radiusSqr = vtmp.mag2(); 199 G4double radiusSqr = vtmp.mag2();
200 fRadius = std::sqrt(radiusSqr); 200 fRadius = std::sqrt(radiusSqr);
201 // 29.02.2016 Remark by E.Tcherniaev: comput 201 // 29.02.2016 Remark by E.Tcherniaev: computation
202 // of fCircumcenter and fRadius is wrong, ho 202 // of fCircumcenter and fRadius is wrong, however
203 // it did not create any problem till now. 203 // it did not create any problem till now.
204 // Bizarre! Need to investigate! 204 // Bizarre! Need to investigate!
205 } 205 }
206 206
207 ////////////////////////////////////////////// 207 ///////////////////////////////////////////////////////////////////////////////
208 // 208 //
209 G4QuadrangularFacet::~G4QuadrangularFacet () = << 209 G4QuadrangularFacet::~G4QuadrangularFacet ()
>> 210 {
>> 211 }
210 212
211 ////////////////////////////////////////////// 213 ///////////////////////////////////////////////////////////////////////////////
212 // 214 //
213 G4QuadrangularFacet::G4QuadrangularFacet (cons 215 G4QuadrangularFacet::G4QuadrangularFacet (const G4QuadrangularFacet& rhs)
214 : G4VFacet(rhs) 216 : G4VFacet(rhs)
215 { 217 {
216 fFacet1 = rhs.fFacet1; 218 fFacet1 = rhs.fFacet1;
217 fFacet2 = rhs.fFacet2; 219 fFacet2 = rhs.fFacet2;
218 fRadius = 0.0; 220 fRadius = 0.0;
219 } 221 }
220 222
221 ////////////////////////////////////////////// 223 ///////////////////////////////////////////////////////////////////////////////
222 // 224 //
223 G4QuadrangularFacet & 225 G4QuadrangularFacet &
224 G4QuadrangularFacet::operator=(const G4Quadran 226 G4QuadrangularFacet::operator=(const G4QuadrangularFacet& rhs)
225 { 227 {
226 if (this == &rhs) return *this; 228 if (this == &rhs) return *this;
227 229
228 fFacet1 = rhs.fFacet1; 230 fFacet1 = rhs.fFacet1;
229 fFacet2 = rhs.fFacet2; 231 fFacet2 = rhs.fFacet2;
230 fRadius = 0.0; 232 fRadius = 0.0;
231 233
232 return *this; 234 return *this;
233 } 235 }
234 236
235 ////////////////////////////////////////////// 237 ///////////////////////////////////////////////////////////////////////////////
236 // 238 //
237 G4VFacet* G4QuadrangularFacet::GetClone () 239 G4VFacet* G4QuadrangularFacet::GetClone ()
238 { 240 {
239 auto c = new G4QuadrangularFacet (GetVertex( << 241 G4QuadrangularFacet *c = new G4QuadrangularFacet (GetVertex(0), GetVertex(1),
240 GetVertex( << 242 GetVertex(2), GetVertex(3),
>> 243 ABSOLUTE);
241 return c; 244 return c;
242 } 245 }
243 246
244 ////////////////////////////////////////////// 247 ///////////////////////////////////////////////////////////////////////////////
245 // 248 //
246 G4ThreeVector G4QuadrangularFacet::Distance (c 249 G4ThreeVector G4QuadrangularFacet::Distance (const G4ThreeVector& p)
247 { 250 {
248 G4ThreeVector v1 = fFacet1.Distance(p); 251 G4ThreeVector v1 = fFacet1.Distance(p);
249 G4ThreeVector v2 = fFacet2.Distance(p); 252 G4ThreeVector v2 = fFacet2.Distance(p);
250 253
251 if (v1.mag2() < v2.mag2()) return v1; 254 if (v1.mag2() < v2.mag2()) return v1;
252 else return v2; 255 else return v2;
253 } 256 }
254 257
255 ////////////////////////////////////////////// 258 ///////////////////////////////////////////////////////////////////////////////
256 // 259 //
257 G4double G4QuadrangularFacet::Distance (const 260 G4double G4QuadrangularFacet::Distance (const G4ThreeVector& p,
258 261 G4double)
259 { 262 {
260 G4double dist = Distance(p).mag(); 263 G4double dist = Distance(p).mag();
261 return dist; 264 return dist;
262 } 265 }
263 266
264 ////////////////////////////////////////////// 267 ///////////////////////////////////////////////////////////////////////////////
265 // 268 //
266 G4double G4QuadrangularFacet::Distance (const 269 G4double G4QuadrangularFacet::Distance (const G4ThreeVector& p, G4double,
267 const 270 const G4bool outgoing)
268 { 271 {
269 G4double dist; 272 G4double dist;
270 273
271 G4ThreeVector v = Distance(p); 274 G4ThreeVector v = Distance(p);
272 G4double dir = v.dot(GetSurfaceNormal()); 275 G4double dir = v.dot(GetSurfaceNormal());
273 if ( ((dir > dirTolerance) && (!outgoing)) 276 if ( ((dir > dirTolerance) && (!outgoing))
274 || ((dir < -dirTolerance) && outgoing)) 277 || ((dir < -dirTolerance) && outgoing))
275 dist = kInfinity; 278 dist = kInfinity;
276 else 279 else
277 dist = v.mag(); 280 dist = v.mag();
278 return dist; 281 return dist;
279 } 282 }
280 283
281 ////////////////////////////////////////////// 284 ///////////////////////////////////////////////////////////////////////////////
282 // 285 //
283 G4double G4QuadrangularFacet::Extent (const G4 286 G4double G4QuadrangularFacet::Extent (const G4ThreeVector axis)
284 { 287 {
285 G4double ss = 0; 288 G4double ss = 0;
286 289
287 for (G4int i = 0; i <= 3; ++i) 290 for (G4int i = 0; i <= 3; ++i)
288 { 291 {
289 G4double sp = GetVertex(i).dot(axis); 292 G4double sp = GetVertex(i).dot(axis);
290 if (sp > ss) ss = sp; 293 if (sp > ss) ss = sp;
291 } 294 }
292 return ss; 295 return ss;
293 } 296 }
294 297
295 ////////////////////////////////////////////// 298 ///////////////////////////////////////////////////////////////////////////////
296 // 299 //
297 G4bool G4QuadrangularFacet::Intersect (const G 300 G4bool G4QuadrangularFacet::Intersect (const G4ThreeVector& p,
298 const G 301 const G4ThreeVector& v,
299 G 302 G4bool outgoing,
300 G 303 G4double& distance,
301 G 304 G4double& distFromSurface,
302 G 305 G4ThreeVector& normal)
303 { 306 {
304 G4bool intersect = 307 G4bool intersect =
305 fFacet1.Intersect(p,v,outgoing,distance,di 308 fFacet1.Intersect(p,v,outgoing,distance,distFromSurface,normal);
306 if (!intersect) intersect = 309 if (!intersect) intersect =
307 fFacet2.Intersect(p,v,outgoing,distance,di 310 fFacet2.Intersect(p,v,outgoing,distance,distFromSurface,normal);
308 if (!intersect) 311 if (!intersect)
309 { 312 {
310 distance = distFromSurface = kInfinity; 313 distance = distFromSurface = kInfinity;
311 normal.set(0,0,0); 314 normal.set(0,0,0);
312 } 315 }
313 return intersect; 316 return intersect;
314 } 317 }
315 318
316 ////////////////////////////////////////////// 319 ///////////////////////////////////////////////////////////////////////////////
317 // 320 //
318 // Auxiliary method to get a uniform random po 321 // Auxiliary method to get a uniform random point on the facet
319 // 322 //
320 G4ThreeVector G4QuadrangularFacet::GetPointOnF 323 G4ThreeVector G4QuadrangularFacet::GetPointOnFace() const
321 { 324 {
322 G4double s1 = fFacet1.GetArea(); 325 G4double s1 = fFacet1.GetArea();
323 G4double s2 = fFacet2.GetArea(); 326 G4double s2 = fFacet2.GetArea();
324 return ((s1+s2)*G4UniformRand() < s1) ? 327 return ((s1+s2)*G4UniformRand() < s1) ?
325 fFacet1.GetPointOnFace() : fFacet2.GetPoin 328 fFacet1.GetPointOnFace() : fFacet2.GetPointOnFace();
326 } 329 }
327 330
328 ////////////////////////////////////////////// 331 ///////////////////////////////////////////////////////////////////////////////
329 // 332 //
330 // Auxiliary method for returning the surface 333 // Auxiliary method for returning the surface area
331 // 334 //
332 G4double G4QuadrangularFacet::GetArea() const 335 G4double G4QuadrangularFacet::GetArea() const
333 { 336 {
334 G4double area = fFacet1.GetArea() + fFacet2. 337 G4double area = fFacet1.GetArea() + fFacet2.GetArea();
335 return area; 338 return area;
336 } 339 }
337 340
338 ////////////////////////////////////////////// 341 ///////////////////////////////////////////////////////////////////////////////
339 // 342 //
340 G4String G4QuadrangularFacet::GetEntityType () 343 G4String G4QuadrangularFacet::GetEntityType () const
341 { 344 {
342 return "G4QuadrangularFacet"; 345 return "G4QuadrangularFacet";
343 } 346 }
344 347
345 ////////////////////////////////////////////// 348 ///////////////////////////////////////////////////////////////////////////////
346 // 349 //
347 G4ThreeVector G4QuadrangularFacet::GetSurfaceN 350 G4ThreeVector G4QuadrangularFacet::GetSurfaceNormal () const
348 { 351 {
349 return fFacet1.GetSurfaceNormal(); 352 return fFacet1.GetSurfaceNormal();
350 } 353 }
351 354