| [764] | 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 |  | 
|---|
|  | 30 | class 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) */ | 
|---|
| [792] | 90 | Vector3d Rotate(const Vector3d& omega,double phi) const; | 
|---|
| [764] | 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 |  | 
|---|
|  | 126 | inline ostream& operator<<(ostream& s, const Vector3d& v) | 
|---|
|  | 127 | { | 
|---|
|  | 128 | v.Print(s); | 
|---|
|  | 129 | return s; | 
|---|
|  | 130 | } | 
|---|
|  | 131 |  | 
|---|
|  | 132 | // fonctions globales | 
|---|
|  | 133 |  | 
|---|
|  | 134 | inline Vector3d operator*(double d, const Vector3d& v) | 
|---|
|  | 135 | { | 
|---|
|  | 136 | return v*d; | 
|---|
|  | 137 | } | 
|---|
|  | 138 |  | 
|---|
|  | 139 | inline Vector3d operator+(double d, const Vector3d& v) | 
|---|
|  | 140 | { | 
|---|
|  | 141 | return v+d; | 
|---|
|  | 142 | } | 
|---|
|  | 143 |  | 
|---|
|  | 144 | #endif | 
|---|
|  | 145 |  | 
|---|
|  | 146 |  | 
|---|