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25 //
26 // G4TwistTrapAlphaSide
27 //
28 // Class description:
29 //
30 // Class describing a twisted boundary surface for a trapezoid.
31
32 // Author: 27-Oct-2004 - O.Link (Oliver.Link@cern.ch)
33 // --------------------------------------------------------------------
34 #ifndef G4TWISTTRAPALPHASIDE_HH
35 #define G4TWISTTRAPALPHASIDE_HH
36
37 #include "G4VTwistSurface.hh"
38
39 #include <vector>
40
41 class G4TwistTrapAlphaSide : public G4VTwistSurface
42 {
43 public:
44
45 G4TwistTrapAlphaSide(const G4String& name,
46 G4double PhiTwist, // twist angle
47 G4double pDz, // half z lenght
48 G4double pTheta, // direction between end planes
49 G4double pPhi, // by polar and azimutal angles
50 G4double pDy1, // half y length at -pDz
51 G4double pDx1, // half x length at -pDz,-pDy
52 G4double pDx2, // half x length at -pDz,+pDy
53 G4double pDy2, // half y length at +pDz
54 G4double pDx3, // half x length at +pDz,-pDy
55 G4double pDx4, // half x length at +pDz,+pDy
56 G4double pAlph, // tilt angle at +pDz
57 G4double AngleSide // parity
58 );
59
60 ~G4TwistTrapAlphaSide() override;
61
62 G4ThreeVector GetNormal(const G4ThreeVector& xx,
63 G4bool isGlobal = false) override ;
64
65 G4int DistanceToSurface(const G4ThreeVector& gp,
66 const G4ThreeVector& gv,
67 G4ThreeVector gxx[],
68 G4double distance[],
69 G4int areacode[],
70 G4bool isvalid[],
71 EValidate validate = kValidateWithTol) override;
72
73 G4int DistanceToSurface(const G4ThreeVector& gp,
74 G4ThreeVector gxx[],
75 G4double distance[],
76 G4int areacode[]) override;
77
78 G4TwistTrapAlphaSide(__void__&);
79 // Fake default constructor for usage restricted to direct object
80 // persistency for clients requiring preallocation of memory for
81 // persistifiable objects.
82
83 private:
84
85 G4int GetAreaCode(const G4ThreeVector& xx,
86 G4bool withTol = true) override;
87 void SetCorners() override;
88 void SetBoundaries() override;
89
90 void GetPhiUAtX(const G4ThreeVector& p, G4double& phi, G4double& u);
91 G4ThreeVector ProjectPoint(const G4ThreeVector& p,
92 G4bool isglobal = false);
93
94 inline G4ThreeVector SurfacePoint(G4double phi, G4double u,
95 G4bool isGlobal = false ) override;
96 inline G4double GetBoundaryMin(G4double phi) override;
97 inline G4double GetBoundaryMax(G4double phi) override;
98 inline G4double GetSurfaceArea() override;
99 void GetFacets( G4int m, G4int n, G4double xyz[][3],
100 G4int faces[][4], G4int iside ) override;
101
102 inline G4ThreeVector NormAng(G4double phi, G4double u);
103 inline G4double GetValueA(G4double phi);
104 inline G4double GetValueB(G4double phi);
105 inline G4double GetValueD(G4double phi);
106 inline G4double Xcoef(G4double u,G4double phi);
107 // To calculate the w(u) function
108
109 private:
110
111 G4double fTheta;
112 G4double fPhi ;
113
114 G4double fDy1;
115 G4double fDx1;
116 G4double fDx2;
117
118 G4double fDy2;
119 G4double fDx3;
120 G4double fDx4;
121
122 G4double fDz; // Half-length along the z axis
123
124 G4double fAlph;
125 G4double fTAlph; // std::tan(fAlph)
126
127 G4double fPhiTwist; // twist angle (dphi in surface equation)
128
129 G4double fAngleSide;
130
131 G4double fDx4plus2; // fDx4 + fDx2 == a2/2 + a1/2
132 G4double fDx4minus2; // fDx4 - fDx2 -
133 G4double fDx3plus1; // fDx3 + fDx1 == d2/2 + d1/2
134 G4double fDx3minus1; // fDx3 - fDx1 -
135 G4double fDy2plus1; // fDy2 + fDy1 == b2/2 + b1/2
136 G4double fDy2minus1; // fDy2 - fDy1 -
137 G4double fa1md1; // 2 fDx2 - 2 fDx1 == a1 - d1
138 G4double fa2md2; // 2 fDx4 - 2 fDx3
139
140 G4double fdeltaX;
141 G4double fdeltaY;
142 };
143
144 //========================================================
145 // inline functions
146 //========================================================
147
148 inline
149 G4double G4TwistTrapAlphaSide::GetValueA(G4double phi)
150 {
151 return ( fDx4plus2 + fDx4minus2 * ( 2 * phi ) / fPhiTwist ) ;
152 }
153
154 inline
155 G4double G4TwistTrapAlphaSide::GetValueD(G4double phi)
156 {
157 return ( fDx3plus1 + fDx3minus1 * ( 2 * phi) / fPhiTwist ) ;
158 }
159
160 inline
161 G4double G4TwistTrapAlphaSide::GetValueB(G4double phi)
162 {
163 return ( fDy2plus1 + fDy2minus1 * ( 2 * phi ) / fPhiTwist ) ;
164 }
165
166
167 inline
168 G4double G4TwistTrapAlphaSide::Xcoef(G4double u, G4double phi)
169 {
170
171 return GetValueA(phi)/2. + (GetValueD(phi)-GetValueA(phi))/4.
172 - u*( ( GetValueD(phi)-GetValueA(phi) )/( 2 * GetValueB(phi) ) - fTAlph );
173
174 }
175
176 inline G4ThreeVector
177 G4TwistTrapAlphaSide::SurfacePoint(G4double phi, G4double u , G4bool isGlobal)
178 {
179 // function to calculate a point on the surface, given by parameters phi,u
180
181 G4ThreeVector SurfPoint ( Xcoef(u,phi) * std::cos(phi)
182 - u * std::sin(phi) + fdeltaX*phi/fPhiTwist,
183 Xcoef(u,phi) * std::sin(phi)
184 + u * std::cos(phi) + fdeltaY*phi/fPhiTwist,
185 2*fDz*phi/fPhiTwist );
186 if (isGlobal) { return (fRot * SurfPoint + fTrans); }
187 return SurfPoint;
188 }
189
190 inline
191 G4double G4TwistTrapAlphaSide::GetBoundaryMin(G4double phi)
192 {
193 return -0.5*GetValueB(phi) ;
194 }
195
196 inline
197 G4double G4TwistTrapAlphaSide::GetBoundaryMax(G4double phi)
198 {
199 return 0.5*GetValueB(phi) ;
200 }
201
202 inline
203 G4double G4TwistTrapAlphaSide::GetSurfaceArea()
204 {
205 return (fDz*(std::sqrt(16*fDy1*fDy1
206 + (fa1md1 + 4*fDy1*fTAlph)*(fa1md1 + 4*fDy1*fTAlph))
207 + std::sqrt(16*fDy2*fDy2 + (fa2md2 + 4*fDy2*fTAlph)
208 * (fa2md2 + 4*fDy2*fTAlph))))/2. ;
209 }
210
211 inline
212 G4ThreeVector G4TwistTrapAlphaSide::NormAng( G4double phi, G4double u )
213 {
214 // function to calculate the norm at a given point on the surface
215 // replace a1-d1
216
217 G4ThreeVector nvec ( fDy1* fDz*(4*fDy1*std::cos(phi)
218 + (fa1md1 + 4*fDy1*fTAlph)*std::sin(phi)),
219 -(fDy1* fDz*((fa1md1 + 4*fDy1*fTAlph)*std::cos(phi)
220 - 4*fDy1*std::sin(phi))),
221 (fDy1*(-8*(fDx3minus1 + fDx4minus2)*fDy1
222 + fa1md1*(fDx2 + fDx3plus1 + fDx4)*fPhiTwist
223 + 4*(fDx2 + fDx3plus1 + fDx4)*fDy1*fPhiTwist
224 *fTAlph + 2*(fDx3minus1 + fDx4minus2)
225 *(fa1md1 + 4*fDy1*fTAlph)*phi)
226 + fPhiTwist*(16*fDy1*fDy1
227 + (fa1md1 + 4*fDy1*fTAlph)
228 *(fa1md1 + 4*fDy1*fTAlph))*u
229 + 4*fDy1*(fa1md1*fdeltaY - 4*fdeltaX*fDy1
230 + 4*fdeltaY*fDy1*fTAlph)* std::cos(phi)
231 - 4*fDy1*(fa1md1*fdeltaX + 4*fDy1*(fdeltaY
232 + fdeltaX*fTAlph))*std::sin(phi))/ 8. ) ;
233 return nvec.unit();
234 }
235
236 #endif
237