| 1 | 
gezelter | 
1447 | 
#ifndef _VECTOR3D_H_ | 
| 2 | 
  | 
  | 
#define _VECTOR3D_H_ | 
| 3 | 
  | 
  | 
 | 
| 4 | 
  | 
  | 
#include <cmath> | 
| 5 | 
  | 
  | 
#include <iostream> | 
| 6 | 
  | 
  | 
 | 
| 7 | 
  | 
  | 
using namespace std; | 
| 8 | 
  | 
  | 
 | 
| 9 | 
  | 
  | 
class Vector3d{ | 
| 10 | 
  | 
  | 
 | 
| 11 | 
  | 
  | 
  public: | 
| 12 | 
  | 
  | 
 | 
| 13 | 
  | 
  | 
     Vector3d(){ | 
| 14 | 
  | 
  | 
      this->x = double(); | 
| 15 | 
  | 
  | 
      this->y = double(); | 
| 16 | 
  | 
  | 
      this->z = double(); | 
| 17 | 
  | 
  | 
       | 
| 18 | 
  | 
  | 
    } | 
| 19 | 
  | 
  | 
 | 
| 20 | 
  | 
  | 
     Vector3d( double x, double y, double z){ | 
| 21 | 
  | 
  | 
      this->x = x; | 
| 22 | 
  | 
  | 
      this->y = y; | 
| 23 | 
  | 
  | 
      this->z = z; | 
| 24 | 
  | 
  | 
    } | 
| 25 | 
  | 
  | 
 | 
| 26 | 
  | 
  | 
     Vector3d(const Vector3d& v1){ | 
| 27 | 
  | 
  | 
      this->x = v1.x; | 
| 28 | 
  | 
  | 
      this->y = v1.y;   | 
| 29 | 
  | 
  | 
      this->z = v1.z; | 
| 30 | 
  | 
  | 
    } | 
| 31 | 
  | 
  | 
 | 
| 32 | 
  | 
  | 
    double& operator[](unsigned int index){ | 
| 33 | 
  | 
  | 
      switch (index){ | 
| 34 | 
  | 
  | 
        case 0 : | 
| 35 | 
  | 
  | 
          return x; | 
| 36 | 
  | 
  | 
 | 
| 37 | 
  | 
  | 
        case 1 : | 
| 38 | 
  | 
  | 
          return y; | 
| 39 | 
  | 
  | 
 | 
| 40 | 
  | 
  | 
        case 2 : | 
| 41 | 
  | 
  | 
          return z; | 
| 42 | 
  | 
  | 
 | 
| 43 | 
  | 
  | 
        default: | 
| 44 | 
  | 
  | 
          cerr << index <<" is invalid index" << endl; | 
| 45 | 
  | 
  | 
          exit(1); | 
| 46 | 
  | 
  | 
      } | 
| 47 | 
  | 
  | 
    } | 
| 48 | 
  | 
  | 
 | 
| 49 | 
  | 
  | 
    const double& operator[](unsigned int index) const{ | 
| 50 | 
  | 
  | 
      switch (index){ | 
| 51 | 
  | 
  | 
        case 0 : | 
| 52 | 
  | 
  | 
          return x; | 
| 53 | 
  | 
  | 
 | 
| 54 | 
  | 
  | 
        case 1 : | 
| 55 | 
  | 
  | 
          return y; | 
| 56 | 
  | 
  | 
 | 
| 57 | 
  | 
  | 
        case 2 : | 
| 58 | 
  | 
  | 
          return z; | 
| 59 | 
  | 
  | 
 | 
| 60 | 
  | 
  | 
        default: | 
| 61 | 
  | 
  | 
          cerr << index <<" is invalid index" << endl; | 
| 62 | 
  | 
  | 
          exit(1); | 
| 63 | 
  | 
  | 
      } | 
| 64 | 
  | 
  | 
    } | 
| 65 | 
  | 
  | 
 | 
| 66 | 
  | 
  | 
    Vector3d& operator=( const Vector3d& v1 ){ | 
| 67 | 
  | 
  | 
      if(this == & v1) | 
| 68 | 
  | 
  | 
        return *this; | 
| 69 | 
  | 
  | 
       | 
| 70 | 
  | 
  | 
      this->x = v1.x; | 
| 71 | 
  | 
  | 
      this->y = v1.y;   | 
| 72 | 
  | 
  | 
      this->z = v1.z; | 
| 73 | 
  | 
  | 
 | 
| 74 | 
  | 
  | 
      return *this; | 
| 75 | 
  | 
  | 
    } | 
| 76 | 
  | 
  | 
 | 
| 77 | 
  | 
  | 
    bool operator ==( const Vector3d& v1 ){ | 
| 78 | 
  | 
  | 
      return this->x == v1.x && this->y == v1.y && this->z == v1.z; | 
| 79 | 
  | 
  | 
    } | 
| 80 | 
  | 
  | 
 | 
| 81 | 
  | 
  | 
    bool operator !=( const Vector3d& v1 ){ | 
| 82 | 
  | 
  | 
      return this->x != v1.x || this->y != v1.y || this->z != v1.z; | 
| 83 | 
  | 
  | 
    } | 
| 84 | 
  | 
  | 
 | 
| 85 | 
  | 
  | 
    void neg(){ | 
| 86 | 
  | 
  | 
      this->x = -this->x; | 
| 87 | 
  | 
  | 
      this->y = -this->y; | 
| 88 | 
  | 
  | 
      this->z = -this->z; | 
| 89 | 
  | 
  | 
    } | 
| 90 | 
  | 
  | 
 | 
| 91 | 
  | 
  | 
    void add( const Vector3d& v1 ){ | 
| 92 | 
  | 
  | 
      this->x += v1.x; | 
| 93 | 
  | 
  | 
      this->y += v1.y; | 
| 94 | 
  | 
  | 
      this->z += v1.z; | 
| 95 | 
  | 
  | 
    } | 
| 96 | 
  | 
  | 
 | 
| 97 | 
  | 
  | 
    void add( const Vector3d& v1, const Vector3d  &v2 ){ | 
| 98 | 
  | 
  | 
      this->x = v1.x + v1.x; | 
| 99 | 
  | 
  | 
      this->y = v1.y + v2.y; | 
| 100 | 
  | 
  | 
      this->z = v1.z + v2.z; | 
| 101 | 
  | 
  | 
 | 
| 102 | 
  | 
  | 
    } | 
| 103 | 
  | 
  | 
         | 
| 104 | 
  | 
  | 
    void sub( const Vector3d& v1 ){ | 
| 105 | 
  | 
  | 
      this->x -= v1.x; | 
| 106 | 
  | 
  | 
      this->y -= v1.y; | 
| 107 | 
  | 
  | 
      this->z -= v1.z; | 
| 108 | 
  | 
  | 
    } | 
| 109 | 
  | 
  | 
 | 
| 110 | 
  | 
  | 
    void sub( const Vector3d& v1, const Vector3d  &v2 ){ | 
| 111 | 
  | 
  | 
      this->x = v1.x - v1.x; | 
| 112 | 
  | 
  | 
      this->y = v1.y - v2.y; | 
| 113 | 
  | 
  | 
      this->z = v1.z - v2.z; | 
| 114 | 
  | 
  | 
    } | 
| 115 | 
  | 
  | 
 | 
| 116 | 
  | 
  | 
    void mul( double r ){ | 
| 117 | 
  | 
  | 
      this->x *= r; | 
| 118 | 
  | 
  | 
      this->y *= r; | 
| 119 | 
  | 
  | 
      this->z *= r; | 
| 120 | 
  | 
  | 
    } | 
| 121 | 
  | 
  | 
 | 
| 122 | 
  | 
  | 
    void mul( double r, const Vector3d& v1 ){ | 
| 123 | 
  | 
  | 
      this->x = r * v1.x; | 
| 124 | 
  | 
  | 
      this->y = r * v1.y; | 
| 125 | 
  | 
  | 
      this->z = r * v1.z; | 
| 126 | 
  | 
  | 
 | 
| 127 | 
  | 
  | 
    } | 
| 128 | 
  | 
  | 
 | 
| 129 | 
  | 
  | 
    void mul( const Vector3d& v1, double r ){ | 
| 130 | 
  | 
  | 
      this->x = v1.x * r; | 
| 131 | 
  | 
  | 
      this->y = v1.y * r; | 
| 132 | 
  | 
  | 
      this->z = v1.z * r; | 
| 133 | 
  | 
  | 
    } | 
| 134 | 
  | 
  | 
 | 
| 135 | 
  | 
  | 
    void div( double r){ | 
| 136 | 
  | 
  | 
      this->x /= r; | 
| 137 | 
  | 
  | 
      this->y /= r; | 
| 138 | 
  | 
  | 
      this->z /= r; | 
| 139 | 
  | 
  | 
    } | 
| 140 | 
  | 
  | 
          | 
| 141 | 
  | 
  | 
     void div( const Vector3d& v1, double r ){ | 
| 142 | 
  | 
  | 
      this->x = v1.x/r; | 
| 143 | 
  | 
  | 
      this->y = v1.y/r; | 
| 144 | 
  | 
  | 
      this->z = v1.z/r; | 
| 145 | 
  | 
  | 
    } | 
| 146 | 
  | 
  | 
 | 
| 147 | 
  | 
  | 
    void operator +=( const Vector3d& v1 ){ | 
| 148 | 
  | 
  | 
      this->x += v1.x; | 
| 149 | 
  | 
  | 
      this->y += v1.y; | 
| 150 | 
  | 
  | 
      this->z += v1.z; | 
| 151 | 
  | 
  | 
    } | 
| 152 | 
  | 
  | 
            | 
| 153 | 
  | 
  | 
    void operator -=( const Vector3d& v1 ){ | 
| 154 | 
  | 
  | 
      this->x -= v1.x; | 
| 155 | 
  | 
  | 
      this->y -= v1.y; | 
| 156 | 
  | 
  | 
      this->z -= v1.z; | 
| 157 | 
  | 
  | 
    } | 
| 158 | 
  | 
  | 
           | 
| 159 | 
  | 
  | 
    void operator *=( double r ){ | 
| 160 | 
  | 
  | 
      this->x *= r; | 
| 161 | 
  | 
  | 
      this->y *= r; | 
| 162 | 
  | 
  | 
      this->z *= r; | 
| 163 | 
  | 
  | 
    } | 
| 164 | 
  | 
  | 
           | 
| 165 | 
  | 
  | 
    void operator /=( double r ){ | 
| 166 | 
  | 
  | 
      this->x /= r; | 
| 167 | 
  | 
  | 
      this->y /= r; | 
| 168 | 
  | 
  | 
      this->z /= r; | 
| 169 | 
  | 
  | 
    } | 
| 170 | 
  | 
  | 
 | 
| 171 | 
  | 
  | 
    //vector addition | 
| 172 | 
  | 
  | 
    friend Vector3d operator+ ( const Vector3d& v1, const Vector3d& v2){ | 
| 173 | 
  | 
  | 
      return Vector3d(v1.x+v2.x, v1.y+v2.y, v1.z+v2.z);  | 
| 174 | 
  | 
  | 
    } | 
| 175 | 
  | 
  | 
 | 
| 176 | 
  | 
  | 
     //vector subtraction | 
| 177 | 
  | 
  | 
     friend Vector3d operator- ( const Vector3d& v1, const Vector3d& v2) { | 
| 178 | 
  | 
  | 
      return Vector3d(v1.x-v2.x, v1.y-v2.y, v1.z-v2.z);  | 
| 179 | 
  | 
  | 
     } | 
| 180 | 
  | 
  | 
     //unary minus | 
| 181 | 
  | 
  | 
     friend Vector3d operator- ( const Vector3d& v) { | 
| 182 | 
  | 
  | 
      return Vector3d(-v.x, -v.y, -v.z);  | 
| 183 | 
  | 
  | 
     } | 
| 184 | 
  | 
  | 
     //multiply by a scalar | 
| 185 | 
  | 
  | 
     friend Vector3d operator* ( const double& r, const Vector3d& v) { | 
| 186 | 
  | 
  | 
      return Vector3d( r*v.x, r*v.y, r*v.z);  | 
| 187 | 
  | 
  | 
     } | 
| 188 | 
  | 
  | 
      | 
| 189 | 
  | 
  | 
     //multiply by a scalar | 
| 190 | 
  | 
  | 
     friend Vector3d operator* ( const Vector3d& v, const double& r) { | 
| 191 | 
  | 
  | 
      return Vector3d( r*v.x, r*v.y, r*v.z);  | 
| 192 | 
  | 
  | 
     } | 
| 193 | 
  | 
  | 
     //divide by a scalar | 
| 194 | 
  | 
  | 
     friend Vector3d operator/ ( const Vector3d& v, const double& r) { | 
| 195 | 
  | 
  | 
      return Vector3d( v.x/r, v.y/r, v.z/r);  | 
| 196 | 
  | 
  | 
     } | 
| 197 | 
  | 
  | 
 | 
| 198 | 
  | 
  | 
 | 
| 199 | 
  | 
  | 
    //dot product     | 
| 200 | 
  | 
  | 
    friend double dotProduct (const Vector3d& v1, const Vector3d& v2){ | 
| 201 | 
  | 
  | 
      return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z; | 
| 202 | 
  | 
  | 
    } | 
| 203 | 
  | 
  | 
 | 
| 204 | 
  | 
  | 
    //cross product | 
| 205 | 
  | 
  | 
    friend Vector3d crossProduct (const Vector3d& v1, const Vector3d& v2){ | 
| 206 | 
  | 
  | 
      Vector3d result; | 
| 207 | 
  | 
  | 
       | 
| 208 | 
  | 
  | 
      result.x =   v1.y * v2.z - v1.z * v2.y ; | 
| 209 | 
  | 
  | 
      result.y = -v1.x * v2.z + v1.z * v2.x ; | 
| 210 | 
  | 
  | 
      result.z =   v1.x * v2.y - v1.y * v2.x; | 
| 211 | 
  | 
  | 
 | 
| 212 | 
  | 
  | 
      return result; | 
| 213 | 
  | 
  | 
    } | 
| 214 | 
  | 
  | 
     | 
| 215 | 
  | 
  | 
    void normalize(){ | 
| 216 | 
  | 
  | 
      double len; | 
| 217 | 
  | 
  | 
       | 
| 218 | 
  | 
  | 
      len = length(); | 
| 219 | 
  | 
  | 
      x /= len ; | 
| 220 | 
  | 
  | 
      y /= len; | 
| 221 | 
  | 
  | 
      z /= len; | 
| 222 | 
  | 
  | 
    } | 
| 223 | 
  | 
  | 
 | 
| 224 | 
  | 
  | 
    double length(){ | 
| 225 | 
  | 
  | 
      return sqrt(x*x + y*y + z*z); | 
| 226 | 
  | 
  | 
    } | 
| 227 | 
  | 
  | 
 | 
| 228 | 
  | 
  | 
    double length2(){ | 
| 229 | 
  | 
  | 
      return x*x + y*y + z*z; | 
| 230 | 
  | 
  | 
    } | 
| 231 | 
  | 
  | 
 | 
| 232 | 
  | 
  | 
  public: | 
| 233 | 
  | 
  | 
 | 
| 234 | 
  | 
  | 
    double x; | 
| 235 | 
  | 
  | 
    double y; | 
| 236 | 
  | 
  | 
    double z; | 
| 237 | 
  | 
  | 
}; | 
| 238 | 
  | 
  | 
 | 
| 239 | 
  | 
  | 
     | 
| 240 | 
  | 
  | 
#endif //end ifndef _VECTOR3D_H_ |