source: Sophya/trunk/SophyaLib/Samba/vector3d.h@ 698

Last change on this file since 698 was 682, checked in by ansari, 26 years ago

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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 "unixmac.h"
10#endif
11#include "longlat.h"
12
13/*
14 Geometrie en dimension 3.
15 Tous les calculs sont faits en radians
16 et en coordonnees spheriques theta,phi
17 pour les rotations (angles d'Euler) ma source est
18 "Classical Mechanics" 2nd edition, H. Goldstein, Addison Wesley
19*/
20/*! 3-D geometry.
21
22 All computations are made with angles in radians and with spherical
23 coordinates theta, phi.
24
25 Concerning Euler's angles, the reference is :
26
27 "Classical Mechanics" 2nd edition, H. Goldstein, Addison Wesley
28*/
29
30class Vector3d
31{
32
33 public:
34
35 Vector3d();
36 Vector3d(double x, double y, double z);
37 Vector3d(double theta, double phi);
38 Vector3d(const LongLat&);
39 Vector3d(const Vector3d&);
40
41// To manipulate the vector
42 virtual void Setxyz(double x, double y, double z);
43 virtual void SetThetaPhi(double theta, double phi);
44 virtual void ThetaPhi2xyz();
45 virtual void xyz2ThetaPhi();
46
47// Acces to coordinates
48 inline double Theta() const {return _theta;}
49 inline double Phi() const {return _phi;}
50 inline double X() const {return _x;}
51 inline double Y() const {return _y;}
52 inline double Z() const {return _z;}
53
54 virtual Vector3d& Normalize();
55 virtual double Norm() const;
56
57 // produit scalaire
58 virtual double Psc(const Vector3d&) const;
59
60 // ecart angulaire entre 2 vecteurs dans [0,Pi]
61 /*! angular gap between 2 vectors in [0,Pi] */
62 virtual double SepAngle(const Vector3d&) const;
63
64 // produit vectoriel
65 /*! vector product */
66 virtual Vector3d Vect(const Vector3d&) const;
67
68 // vecteur perpendiculaire de meme phi
69 /*! perpendicular vector, with equal phi */
70 virtual Vector3d VperpPhi() const;
71
72 // vecteur perpendiculaire de meme theta
73 /*! perpendicular vector with equal theta */
74 virtual Vector3d VperpTheta() const;
75
76 virtual Vector3d ETheta() const;
77 virtual Vector3d EPhi() const;
78
79 // rotations d'Euler
80 /*! Euler's rotations */
81 // rotations d Euler
82 virtual Vector3d Euler(double, double, double) const;
83
84 // rotation inverse
85 /*! inverse rotation */
86 Vector3d InvEuler(double, double, double) const;
87
88 // rotation d'angle phi autour d'un axe omega (regle du tire-bouchon)
89 /*! rotation of angle phi around an axis omega (Maxwell's rule) */
90 Vector3d Rotate(const Vector3d& omega,double phi);
91
92 /*virtual*/ Vector3d& operator=(const Vector3d&); // $CHECK$ EA 101299
93 virtual Vector3d& operator+=(const Vector3d&);
94 virtual Vector3d& operator-=(const Vector3d&);
95 virtual Vector3d operator+(const Vector3d&) const;
96 virtual Vector3d operator-(const Vector3d&) const;
97
98 virtual Vector3d& operator+=(double);
99 virtual Vector3d& operator/=(double);
100 virtual Vector3d& operator*=(double);
101
102 virtual Vector3d operator+(double) const;
103 virtual Vector3d operator-(double) const;
104 virtual Vector3d operator*(double) const;
105 virtual Vector3d operator/(double) const;
106
107 /*! vector product */
108 virtual Vector3d operator^(const Vector3d&) const; // produit vectoriel
109 /*! dot product */
110 virtual double operator*(const Vector3d&) const; // produit scalaire
111
112 bool operator==(const Vector3d&);
113
114 virtual void Print(ostream& os) const;
115
116 protected:
117
118 double _x;
119 double _y;
120 double _z;
121 double _theta;
122 double _phi;
123
124};
125
126inline ostream& operator<<(ostream& s, const Vector3d& v)
127{
128 v.Print(s);
129 return s;
130}
131
132// fonctions globales
133
134inline Vector3d operator*(double d, const Vector3d& v)
135{
136 return v*d;
137}
138
139inline Vector3d operator+(double d, const Vector3d& v)
140{
141 return v+d;
142}
143
144#endif
145
146
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