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: G4Ellipse.icc,v 1.8 2006/06/29 18:39:18 gunter Exp $ |
---|
28 | // GEANT4 tag $Name: HEAD $ |
---|
29 | // |
---|
30 | // -------------------------------------------------------------------- |
---|
31 | // GEANT 4 inline definitions file |
---|
32 | // |
---|
33 | // G4Ellipse.icc |
---|
34 | // |
---|
35 | // Implementation of inline methods of G4Ellipse |
---|
36 | // -------------------------------------------------------------------- |
---|
37 | |
---|
38 | inline |
---|
39 | void G4Ellipse::Init(const G4Axis2Placement3D& position0, |
---|
40 | G4double semiAxis10, G4double semiAxis20) |
---|
41 | { |
---|
42 | position= position0; |
---|
43 | semiAxis1= semiAxis10; |
---|
44 | semiAxis2= semiAxis20; |
---|
45 | |
---|
46 | ratioAxis2Axis1= semiAxis2/semiAxis1; |
---|
47 | |
---|
48 | SetBounds(0, 0); |
---|
49 | |
---|
50 | // needed only for 2D ellipses |
---|
51 | toUnitCircle = G4Scale3D(1/semiAxis1, 1/semiAxis2, 0) |
---|
52 | * position.GetToPlacementCoordinates(); |
---|
53 | |
---|
54 | forTangent= -semiAxis1*semiAxis1/(semiAxis2*semiAxis2); |
---|
55 | } |
---|
56 | |
---|
57 | inline |
---|
58 | G4double G4Ellipse::GetSemiAxis1() const |
---|
59 | { |
---|
60 | return semiAxis1; |
---|
61 | } |
---|
62 | |
---|
63 | inline |
---|
64 | G4double G4Ellipse::GetSemiAxis2() const |
---|
65 | { |
---|
66 | return semiAxis2; |
---|
67 | } |
---|
68 | |
---|
69 | ///////////////////////////////////////////////////////////////////////////// |
---|
70 | |
---|
71 | inline |
---|
72 | G4double G4Ellipse::GetPMax() const |
---|
73 | { |
---|
74 | return twopi; |
---|
75 | } |
---|
76 | |
---|
77 | inline |
---|
78 | G4Point3D G4Ellipse::GetPoint(G4double param) const |
---|
79 | { |
---|
80 | param-= GetPShift(); |
---|
81 | return G4Point3D( position.GetLocation() |
---|
82 | + semiAxis1*std::cos(param)*position.GetPX() |
---|
83 | + semiAxis2*std::sin(param)*position.GetPY() ); |
---|
84 | } |
---|
85 | |
---|
86 | inline |
---|
87 | G4double G4Ellipse::GetPPoint(const G4Point3D& pt) const |
---|
88 | { |
---|
89 | G4Point3D ptLocal= position.GetToPlacementCoordinates()*pt; |
---|
90 | G4double angle= std::atan2(ptLocal.y(), ptLocal.x()*ratioAxis2Axis1); |
---|
91 | G4double r= (angle<0)? angle+twopi: angle; |
---|
92 | return r+GetPShift(); |
---|
93 | } |
---|
94 | |
---|
95 | ///////////////////////////////////////////////////////////////////////////// |
---|
96 | |
---|
97 | #include "G4CurveRayIntersection.hh" |
---|
98 | |
---|
99 | /* |
---|
100 | inline |
---|
101 | void G4Ellipse::IntersectRay2D(const G4Ray& ray, |
---|
102 | G4CurveRayIntersection& is) |
---|
103 | { |
---|
104 | is.Init(*this, ray); |
---|
105 | |
---|
106 | // transform s.t. the ellipse becomes the unit circle |
---|
107 | // with the center at the origin |
---|
108 | |
---|
109 | // 2D operations would be faster |
---|
110 | G4Point3D s= toUnitCircle*ray.GetStart(); |
---|
111 | G4Vector3D d= toUnitCircle*ray.GetDir(); |
---|
112 | |
---|
113 | // solve (s+i*t)^2 = 1 for i (the distance) |
---|
114 | |
---|
115 | G4double sd= s*d; |
---|
116 | G4double dd= d.mag2(); // never 0 |
---|
117 | G4double ss= s.mag2(); |
---|
118 | |
---|
119 | G4double discr= sd*sd-dd*(ss-1); |
---|
120 | if (discr >= 0) { |
---|
121 | |
---|
122 | // 2 intersections (maybe 1, but this case is rare) |
---|
123 | G4double sqrtdiscr= std::sqrt(discr); |
---|
124 | // find the smallest positive i |
---|
125 | G4double i= -sd-sqrtdiscr; |
---|
126 | if (i<kCarTolerance) { |
---|
127 | i= -sd+sqrtdiscr; |
---|
128 | if (i<kCarTolerance) { |
---|
129 | return; |
---|
130 | } |
---|
131 | } |
---|
132 | i/= dd; |
---|
133 | G4CurveRayIntersection isTmp(*this, ray); |
---|
134 | isTmp.ResetDistance(i); |
---|
135 | is.Update(isTmp); |
---|
136 | |
---|
137 | } |
---|
138 | } |
---|
139 | */ |
---|
140 | |
---|
141 | inline |
---|
142 | G4int G4Ellipse::IntersectRay2D(const G4Ray& ray) |
---|
143 | { |
---|
144 | // transform s.t. the ellipse becomes the unit circle |
---|
145 | // with the center at the origin |
---|
146 | |
---|
147 | // 2D operations would be faster |
---|
148 | G4Point3D s= toUnitCircle*ray.GetStart(); |
---|
149 | G4Vector3D d= toUnitCircle*ray.GetDir(); |
---|
150 | |
---|
151 | // solve (s+i*t)^2 = 1 for i (the distance) |
---|
152 | G4double sd= s*d; |
---|
153 | G4double dd= d.mag2(); // never 0 |
---|
154 | G4double ss= s.mag2(); |
---|
155 | |
---|
156 | G4double discr= sd*sd-dd*(ss-1); |
---|
157 | G4int nbinter = 0; |
---|
158 | G4double i; |
---|
159 | |
---|
160 | if (discr > 0) |
---|
161 | { |
---|
162 | // 2 intersections |
---|
163 | G4double sqrtdiscr= std::sqrt(discr); |
---|
164 | |
---|
165 | // if i is positive, we have an intersection |
---|
166 | i= -sd-sqrtdiscr; |
---|
167 | if (i > kCarTolerance) |
---|
168 | nbinter++; |
---|
169 | |
---|
170 | i= -sd+sqrtdiscr; |
---|
171 | if (i > kCarTolerance) |
---|
172 | nbinter++; |
---|
173 | } |
---|
174 | |
---|
175 | // if the ray is tangent on the circle |
---|
176 | if (discr == 0) |
---|
177 | nbinter = 1; |
---|
178 | |
---|
179 | return nbinter; |
---|
180 | } |
---|