| Geant4 Cross Reference |
1 // ------------------------------------------- 1 // ----------------------------------------------------------------------
2 // 2 //
3 // AxisAngle.cc 3 // AxisAngle.cc
4 // 4 //
5 // History: 5 // History:
6 // 23-Jan-1998 WEB Initial draft 6 // 23-Jan-1998 WEB Initial draft
7 // 13-Mar-1998 WEB Corrected ZMpvAxisAngle 7 // 13-Mar-1998 WEB Corrected ZMpvAxisAngleRep
8 // 15-Jun-1998 WEB Added namespace support 8 // 15-Jun-1998 WEB Added namespace support
9 // 26-Jul-2000 MF CLHEP version 9 // 26-Jul-2000 MF CLHEP version
10 // 12-Apr-2001 MF NaN-proofing 10 // 12-Apr-2001 MF NaN-proofing
11 // 11 //
12 // ------------------------------------------- 12 // ----------------------------------------------------------------------
13 13
14 #include "CLHEP/Vector/AxisAngle.h" 14 #include "CLHEP/Vector/AxisAngle.h"
15 #include "CLHEP/Vector/ThreeVector.h" <<
16 <<
17 #include <cmath> <<
18 #include <ostream> <<
19 15
20 namespace CLHEP { 16 namespace CLHEP {
21 17
22 double HepAxisAngle::tolerance = Hep3Vector::T 18 double HepAxisAngle::tolerance = Hep3Vector::ToleranceTicks * 1.0e-08;
23 19
24 static void ZMpvAxisAngleRep( const HepAxisAng 20 static void ZMpvAxisAngleRep( const HepAxisAngle & aa, double array[] ) {
25 21
26 double sinDelta = std::sin( aa.delta() ); 22 double sinDelta = std::sin( aa.delta() );
27 double cosDelta = std::cos( aa.delta() ); 23 double cosDelta = std::cos( aa.delta() );
28 double oneMinusCosDelta = 1.0 - cosDelta; 24 double oneMinusCosDelta = 1.0 - cosDelta;
29 25
30 double uX = aa.getAxis().getX(); 26 double uX = aa.getAxis().getX();
31 double uY = aa.getAxis().getY(); 27 double uY = aa.getAxis().getY();
32 double uZ = aa.getAxis().getZ(); 28 double uZ = aa.getAxis().getZ();
33 29
34 array[0] = oneMinusCosDelta * uX * uX + co 30 array[0] = oneMinusCosDelta * uX * uX + cosDelta;
35 array[1] = oneMinusCosDelta * uX * uY - si 31 array[1] = oneMinusCosDelta * uX * uY - sinDelta * uZ;
36 array[2] = oneMinusCosDelta * uX * uZ + si 32 array[2] = oneMinusCosDelta * uX * uZ + sinDelta * uY;
37 33
38 array[3] = oneMinusCosDelta * uY * uX + si 34 array[3] = oneMinusCosDelta * uY * uX + sinDelta * uZ;
39 array[4] = oneMinusCosDelta * uY * uY + co 35 array[4] = oneMinusCosDelta * uY * uY + cosDelta;
40 array[5] = oneMinusCosDelta * uY * uZ - si 36 array[5] = oneMinusCosDelta * uY * uZ - sinDelta * uX;
41 37
42 array[6] = oneMinusCosDelta * uZ * uX - si 38 array[6] = oneMinusCosDelta * uZ * uX - sinDelta * uY;
43 array[7] = oneMinusCosDelta * uZ * uY + si 39 array[7] = oneMinusCosDelta * uZ * uY + sinDelta * uX;
44 array[8] = oneMinusCosDelta * uZ * uZ + co 40 array[8] = oneMinusCosDelta * uZ * uZ + cosDelta;
45 41
46 } // ZMpvAxisAngleRep 42 } // ZMpvAxisAngleRep
47 43
48 44
49 double HepAxisAngle::distance( const AA & aa ) 45 double HepAxisAngle::distance( const AA & aa ) const {
50 46
51 double thisRep[9]; 47 double thisRep[9];
52 double aaRep[9]; 48 double aaRep[9];
53 49
54 ZMpvAxisAngleRep( *this, thisRep ); 50 ZMpvAxisAngleRep( *this, thisRep );
55 ZMpvAxisAngleRep( aa, aaRep ); 51 ZMpvAxisAngleRep( aa, aaRep );
56 52
57 double sum = 0.0; 53 double sum = 0.0;
58 for ( int i = 0; i < 9; i++ ) { 54 for ( int i = 0; i < 9; i++ ) {
59 sum += thisRep[i] * aaRep[i]; 55 sum += thisRep[i] * aaRep[i];
60 } 56 }
61 57
62 double d = 3.0 - sum; // NaN-proofing: 58 double d = 3.0 - sum; // NaN-proofing:
63 return (d >= 0) ? d : 0; // std 59 return (d >= 0) ? d : 0; // std::sqrt(distance) is used in howNear()
64 60
65 } // HepAxisAngle::distance() 61 } // HepAxisAngle::distance()
66 62
67 63
68 bool HepAxisAngle::isNear( const AA & aa, Scal 64 bool HepAxisAngle::isNear( const AA & aa, Scalar epsilon ) const {
69 65
70 return distance( aa ) <= epsilon * epsilon; 66 return distance( aa ) <= epsilon * epsilon;
71 67
72 } // HepAxisAngle::isNear() 68 } // HepAxisAngle::isNear()
73 69
74 70
75 double HepAxisAngle::howNear( const AA & aa ) 71 double HepAxisAngle::howNear( const AA & aa ) const {
76 72
77 return std::sqrt( distance( aa ) ); 73 return std::sqrt( distance( aa ) );
78 74
79 } // HepAxisAngle::howNear() 75 } // HepAxisAngle::howNear()
80 76
81 77
82 //-******************** 78 //-********************
83 // 79 //
84 // Global methods 80 // Global methods
85 // 81 //
86 //-******************** 82 //-********************
87 83
88 84
89 std::ostream & operator<<(std::ostream & os, c 85 std::ostream & operator<<(std::ostream & os, const HepAxisAngle & aa) {
90 os << '(' << aa.axis() << ", " << aa.delta() 86 os << '(' << aa.axis() << ", " << aa.delta() << ')';
91 return os; 87 return os;
92 } // operator<<() 88 } // operator<<()
93 89
94 90
95 void ZMinputAxisAngle ( std::istream & is, 91 void ZMinputAxisAngle ( std::istream & is,
96 double & x, double & y, double & z, 92 double & x, double & y, double & z,
97 double & delta ); 93 double & delta );
98 94
99 std::istream & operator>>(std::istream & is, H 95 std::istream & operator>>(std::istream & is, HepAxisAngle & aa) {
100 Hep3Vector axis; 96 Hep3Vector axis;
101 double delta; 97 double delta;
102 double x,y,z; 98 double x,y,z;
103 ZMinputAxisAngle ( is, x, y, z, delta ); 99 ZMinputAxisAngle ( is, x, y, z, delta );
104 axis.set(x,y,z); 100 axis.set(x,y,z);
105 aa.set ( axis, delta ); 101 aa.set ( axis, delta );
106 return is; 102 return is;
107 } // operator>>() 103 } // operator>>()
108 104
109 } // namespace CLHEP 105 } // namespace CLHEP
110 106