source: Sophya/trunk/Poubelle/DPC:FitsIOServer/Samba/vector3d.h@ 2028

Last change on this file since 2028 was 658, checked in by ansari, 26 years ago

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[658]1#ifndef VECTOR3D_H_SEEN
2#define VECTOR3D_H_SEEN
3
4#include <math.h>
5#include <iostream.h>
6#include <stdio.h>
7#include <string.h>
8#ifdef __MWERKS__
9 #include "mwerksmath.h"
10// #include "unixmac.h"
11#endif
12#include "longlat.h"
13
14/*
15 Geometrie en dimension 3.
16 Tous les calculs sont faits en radians
17 et en coordonnees spheriques theta,phi
18 pour les rotations (angles d'Euler) ma source est
19 "Classical Mechanics" 2nd edition, H. Goldstein, Addison Wesley
20*/
21/*! 3-D geometry.
22
23 All computations are made with angles in radians and with spherical
24 coordinates theta, phi.
25
26 Concerning Euler's angles, the reference is :
27
28 "Classical Mechanics" 2nd edition, H. Goldstein, Addison Wesley
29*/
30
31class Vector3d
32{
33
34 public:
35
36 Vector3d();
37 Vector3d(double x, double y, double z);
38 Vector3d(double theta, double phi);
39 Vector3d(const LongLat&);
40 Vector3d(const Vector3d&);
41
42// To manipulate the vector
43 virtual void Setxyz(double x, double y, double z);
44 virtual void SetThetaPhi(double theta, double phi);
45 virtual void ThetaPhi2xyz();
46 virtual void xyz2ThetaPhi();
47
48// Acces to coordinates
49 inline double Theta() const {return _theta;}
50 inline double Phi() const {return _phi;}
51 inline double X() const {return _x;}
52 inline double Y() const {return _y;}
53 inline double Z() const {return _z;}
54
55 virtual Vector3d& Normalize();
56 virtual double Norm() const;
57
58 // produit scalaire
59 virtual double Psc(const Vector3d&) const;
60
61 // ecart angulaire entre 2 vecteurs dans [0,Pi]
62 /*! angular gap between 2 vectors in [0,Pi] */
63 virtual double SepAngle(const Vector3d&) const;
64
65 // produit vectoriel
66 /*! vector product */
67 virtual Vector3d Vect(const Vector3d&) const;
68
69 // vecteur perpendiculaire de meme phi
70 /*! perpendicular vector, with equal phi */
71 virtual Vector3d VperpPhi() const;
72
73 // vecteur perpendiculaire de meme theta
74 /*! perpendicular vector with equal theta */
75 virtual Vector3d VperpTheta() const;
76
77 virtual Vector3d ETheta() const;
78 virtual Vector3d EPhi() const;
79
80 // rotations d'Euler
81 /*! Euler's rotations */
82 // rotations d Euler
83 virtual Vector3d Euler(double, double, double) const;
84
85 // rotation inverse
86 /*! inverse rotation */
87 Vector3d InvEuler(double, double, double) const;
88
89 // rotation d'angle phi autour d'un axe omega (regle du tire-bouchon)
90 /*! rotation of angle phi around an axis omega (Maxwell's rule) */
91 Vector3d Rotate(const Vector3d& omega,double phi);
92
93 virtual Vector3d& operator=(const Vector3d&);
94 virtual Vector3d& operator+=(const Vector3d&);
95 virtual Vector3d& operator-=(const Vector3d&);
96 virtual Vector3d operator+(const Vector3d&) const;
97 virtual Vector3d operator-(const Vector3d&) const;
98
99 virtual Vector3d& operator+=(double);
100 virtual Vector3d& operator/=(double);
101 virtual Vector3d& operator*=(double);
102
103 virtual Vector3d operator+(double) const;
104 virtual Vector3d operator-(double) const;
105 virtual Vector3d operator*(double) const;
106 virtual Vector3d operator/(double) const;
107
108 /*! vector product */
109 virtual Vector3d operator^(const Vector3d&) const; // produit vectoriel
110 /*! dot product */
111 virtual double operator*(const Vector3d&) const; // produit scalaire
112
113 bool operator==(const Vector3d&);
114
115 virtual void Print(ostream& os) const;
116
117 protected:
118
119 double _x;
120 double _y;
121 double _z;
122 double _theta;
123 double _phi;
124
125};
126
127inline ostream& operator<<(ostream& s, const Vector3d& v)
128{
129 v.Print(s);
130 return s;
131}
132
133// fonctions globales
134
135inline Vector3d operator*(double d, const Vector3d& v)
136{
137 return v*d;
138}
139
140inline Vector3d operator+(double d, const Vector3d& v)
141{
142 return v+d;
143}
144
145#endif
146
147
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