| 35 |  |  | 
| 36 |  | #include <cassert> | 
| 37 |  | #include <cmath> | 
| 38 | + | #include <iostream> | 
| 39 |  |  | 
| 40 |  | namespace oopse { | 
| 41 |  |  | 
| 42 | + | const double epsilon = 0.000001; | 
| 43 | + |  | 
| 44 | + | template<typename T> | 
| 45 | + | inline bool equal(T e1, T e2) { | 
| 46 | + | return e1 == e2; | 
| 47 | + | } | 
| 48 | + |  | 
| 49 | + | template<> | 
| 50 | + | inline bool equal(float e1, float e2) { | 
| 51 | + | return fabs(e1 - e2) < epsilon; | 
| 52 | + | } | 
| 53 | + |  | 
| 54 | + | template<> | 
| 55 | + | inline bool equal(double e1, double e2) { | 
| 56 | + | return fabs(e1 - e2) < epsilon; | 
| 57 | + | } | 
| 58 | + |  | 
| 59 |  | /** | 
| 60 |  | * @class Vector Vector.hpp "math/Vector.hpp" | 
| 61 |  | * @brief Fix length vector class | 
| 62 |  | */ | 
| 63 | < | template<typename Real, int Dim> | 
| 63 | > | template<typename Real, unsigned int Dim> | 
| 64 |  | class Vector{ | 
| 65 |  | public: | 
| 66 |  |  | 
| 85 |  |  | 
| 86 |  | return *this; | 
| 87 |  | } | 
| 88 | + |  | 
| 89 | + | template<typename T> | 
| 90 | + | inline Vector(const T& s){ | 
| 91 | + | for (unsigned int i = 0; i < Dim; i++) | 
| 92 | + | data_[i] = s; | 
| 93 | + | } | 
| 94 |  |  | 
| 95 |  | /** Constructs and initializes a Vector from an array */ | 
| 96 |  | inline Vector( double* v) { | 
| 97 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 98 | < | data_[i] = v[i]; | 
| 97 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 98 | > | data_[i] = v[i]; | 
| 99 |  | } | 
| 100 |  |  | 
| 101 |  | /** | 
| 136 |  | inline  const double& operator()(unsigned int i) const { | 
| 137 |  | assert( i < Dim); | 
| 138 |  | return data_[i]; | 
| 139 | + | } | 
| 140 | + |  | 
| 141 | + | /** | 
| 142 | + | * Tests if this vetor is equal to other vector | 
| 143 | + | * @return true if equal, otherwise return false | 
| 144 | + | * @param v vector to be compared | 
| 145 | + | */ | 
| 146 | + | inline bool operator ==(const Vector<Real, Dim>& v) { | 
| 147 | + |  | 
| 148 | + | for (unsigned int i = 0; i < Dim; i ++) { | 
| 149 | + | if (!equal(data_[i], v[i])) { | 
| 150 | + | return false; | 
| 151 | + | } | 
| 152 | + | } | 
| 153 | + |  | 
| 154 | + | return true; | 
| 155 |  | } | 
| 156 |  |  | 
| 157 | + | /** | 
| 158 | + | * Tests if this vetor is not equal to other vector | 
| 159 | + | * @return true if equal, otherwise return false | 
| 160 | + | * @param v vector to be compared | 
| 161 | + | */ | 
| 162 | + | inline bool operator !=(const Vector<Real, Dim>& v) { | 
| 163 | + | return !(*this == v); | 
| 164 | + | } | 
| 165 | + |  | 
| 166 |  | /** Negates the value of this vector in place. */ | 
| 167 |  | inline void negate() { | 
| 168 | < | data_[0] = -data_[0]; | 
| 169 | < | data_[1] = -data_[1]; | 
| 121 | < | data_[2] = -data_[2]; | 
| 168 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 169 | > | data_[i] = -data_[i]; | 
| 170 |  | } | 
| 171 |  |  | 
| 172 |  | /** | 
| 184 |  | * @param v1 the other vector | 
| 185 |  | */ | 
| 186 |  | inline void add( const Vector<Real, Dim>& v1 ) { | 
| 187 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 188 | < | data_[i] += v1.data_[i]; | 
| 187 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 188 | > | data_[i] += v1.data_[i]; | 
| 189 |  | } | 
| 190 |  |  | 
| 191 |  | /** | 
| 194 |  | * @param v2 the second vector | 
| 195 |  | */ | 
| 196 |  | inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 197 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 198 | < | data_[i] = v1.data_[i] + v2.data_[i]; | 
| 197 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 198 | > | data_[i] = v1.data_[i] + v2.data_[i]; | 
| 199 |  | } | 
| 200 |  |  | 
| 201 |  | /** | 
| 222 |  | * @param s the scalar value | 
| 223 |  | */ | 
| 224 |  | inline void mul( double s ) { | 
| 225 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 225 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 226 |  | data_[i] *= s; | 
| 227 |  | } | 
| 228 |  |  | 
| 229 |  | /** | 
| 230 |  | * Sets the value of this vector to the scalar multiplication of vector v1 | 
| 231 |  | * (*this = s * v1). | 
| 232 | + | * @param v1 the vector | 
| 233 |  | * @param s the scalar value | 
| 185 | – | * @param v1 the vector | 
| 234 |  | */ | 
| 235 | < | inline void mul( double s, const Vector<Real, Dim>& v1 ) { | 
| 236 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 235 | > | inline void mul( const Vector<Real, Dim>& v1, double s) { | 
| 236 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 237 |  | data_[i] = s * v1.data_[i]; | 
| 238 |  | } | 
| 239 |  |  | 
| 242 |  | * @param s the scalar value | 
| 243 |  | */ | 
| 244 |  | inline void div( double s) { | 
| 245 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 245 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 246 |  | data_[i] /= s; | 
| 247 |  | } | 
| 248 |  |  | 
| 252 |  | * @param s the scalar value | 
| 253 |  | */ | 
| 254 |  | inline void div( const Vector<Real, Dim>& v1, double s ) { | 
| 255 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 255 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 256 |  | data_[i] = v1.data_[i] / s; | 
| 257 |  | } | 
| 258 |  |  | 
| 259 |  | /** @see #add */ | 
| 260 | < | inline Vector<Real, Dim> operator +=( const Vector<Real, Dim>& v1 ) { | 
| 260 | > | inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { | 
| 261 |  | add(v1); | 
| 262 |  | return *this; | 
| 263 |  | } | 
| 264 |  |  | 
| 265 |  | /** @see #sub */ | 
| 266 | < | inline Vector<Real, Dim> operator -=( const Vector<Real, Dim>& v1 ) { | 
| 266 | > | inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { | 
| 267 |  | sub(v1); | 
| 268 |  | return *this; | 
| 269 |  | } | 
| 270 |  |  | 
| 271 |  | /** @see #mul */ | 
| 272 | < | inline Vector<Real, Dim> operator *=( double s) { | 
| 272 | > | inline Vector<Real, Dim>& operator *=( double s) { | 
| 273 |  | mul(s); | 
| 274 |  | return *this; | 
| 275 |  | } | 
| 276 |  |  | 
| 277 |  | /** @see #div */ | 
| 278 | < | inline Vector<Real, Dim> operator /=( double s ) { | 
| 278 | > | inline Vector<Real, Dim>& operator /=( double s ) { | 
| 279 |  | div(s); | 
| 280 |  | return *this; | 
| 281 |  | } | 
| 292 |  | * Returns the squared length of this vector. | 
| 293 |  | * @return the squared length of this vector | 
| 294 |  | */ | 
| 295 | < | inline double lengthSquared() { | 
| 295 | > | inline double lengthSquare() { | 
| 296 |  | return dot(*this, *this); | 
| 297 |  | } | 
| 298 |  |  | 
| 301 |  | double len; | 
| 302 |  |  | 
| 303 |  | len = length(); | 
| 304 | + |  | 
| 305 | + | //if (len < oopse:epsilon) | 
| 306 | + | //  throw(); | 
| 307 | + |  | 
| 308 |  | *this /= len; | 
| 309 |  | } | 
| 310 | + |  | 
| 311 | + | /** | 
| 312 | + | * Tests if this vector is normalized | 
| 313 | + | * @return true if this vector is normalized, otherwise return false | 
| 314 | + | */ | 
| 315 | + | inline bool isNormalized() const | 
| 316 | + | { | 
| 317 | + | return lengthSquare() == 1.0; | 
| 318 | + | } | 
| 319 |  |  | 
| 320 |  | protected: | 
| 321 | < | double data_[3]; | 
| 321 | > | double data_[Dim]; | 
| 322 |  |  | 
| 323 |  | }; | 
| 324 |  |  | 
| 325 |  | /** unary minus*/ | 
| 326 | < | template<typename Real, int Dim> | 
| 326 | > | template<typename Real, unsigned int Dim> | 
| 327 |  | inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ | 
| 328 | < | Vector tmp(v1); | 
| 329 | < | return tmp.negate(); | 
| 328 | > | Vector<Real, Dim> tmp(v1); | 
| 329 | > | tmp.negate(); | 
| 330 | > | return tmp; | 
| 331 |  | } | 
| 332 |  |  | 
| 333 |  | /** | 
| 336 |  | * @param v1 the first vector | 
| 337 |  | * @param v2 the second vector | 
| 338 |  | */ | 
| 339 | < | template<typename Real, int Dim> | 
| 339 | > | template<typename Real, unsigned int Dim> | 
| 340 |  | inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 341 |  | Vector<Real, Dim> result; | 
| 342 |  |  | 
| 350 |  | * @param v1 the first vector | 
| 351 |  | * @param v2 the second vector | 
| 352 |  | */ | 
| 353 | < | template<typename Real, int Dim> | 
| 353 | > | template<typename Real, unsigned int Dim> | 
| 354 |  | Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 355 |  | Vector<Real, Dim> result; | 
| 356 |  | result.sub(v1, v2); | 
| 363 |  | * @param v1 the source vector | 
| 364 |  | * @param s the scalar value | 
| 365 |  | */ | 
| 366 | < | template<typename Real, int Dim> | 
| 366 | > | template<typename Real, unsigned int Dim> | 
| 367 |  | Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) { | 
| 368 |  | Vector<Real, Dim> result; | 
| 369 | < | result.mul(s, v1); | 
| 369 | > | result.mul(v1,s); | 
| 370 |  | return result; | 
| 371 |  | } | 
| 372 |  |  | 
| 376 |  | * @param s the scalar value | 
| 377 |  | * @param v1 the source vector | 
| 378 |  | */ | 
| 379 | < | template<typename Real, int Dim> | 
| 379 | > | template<typename Real, unsigned int Dim> | 
| 380 |  | Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { | 
| 381 |  | Vector<Real, Dim> result; | 
| 382 | < | result.mul(s, v1); | 
| 382 | > | result.mul(v1, s); | 
| 383 |  | return result; | 
| 384 |  | } | 
| 385 |  |  | 
| 389 |  | * @param v1 the source vector | 
| 390 |  | * @param s the scalar value | 
| 391 |  | */ | 
| 392 | < | template<typename Real, int Dim> | 
| 392 | > | template<typename Real, unsigned int Dim> | 
| 393 |  | Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) { | 
| 394 |  | Vector<Real, Dim> result; | 
| 395 |  | result.div( v1,s); | 
| 397 |  | } | 
| 398 |  |  | 
| 399 |  | /** | 
| 338 | – | * Returns the  value of division of a vector by a scalar. | 
| 339 | – | * @return  the vaule of scalar division of this vector | 
| 340 | – | * @param s the scalar value | 
| 341 | – | * @param v1 the source vector | 
| 342 | – | */ | 
| 343 | – | template<typename Real, int Dim> | 
| 344 | – | inline Vector<Real, Dim> operator /( double s, const Vector<Real, Dim>& v1 ) { | 
| 345 | – | Vector<Real, Dim> result; | 
| 346 | – | result.div( v1,s); | 
| 347 | – | return result; | 
| 348 | – | } | 
| 349 | – |  | 
| 350 | – | /** fuzzy comparson */ | 
| 351 | – | template<typename Real, int Dim> | 
| 352 | – | inline bool epsilonEqual( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 353 | – |  | 
| 354 | – | } | 
| 355 | – |  | 
| 356 | – |  | 
| 357 | – | /** | 
| 400 |  | * Returns the dot product of two Vectors | 
| 401 |  | * @param v1 first vector | 
| 402 |  | * @param v2 second vector | 
| 403 |  | * @return the dot product of v1 and v2 | 
| 404 |  | */ | 
| 405 | < | template<typename Real, int Dim> | 
| 405 | > | template<typename Real, unsigned int Dim> | 
| 406 |  | inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 407 | < | Real tmp; | 
| 408 | < | tmp = 0; | 
| 407 | > | Real tmp; | 
| 408 | > | tmp = 0; | 
| 409 |  |  | 
| 410 | < | for (unsigned int i = 0; i < Dim; i++) | 
| 411 | < | tmp += v1[i] + v2[i]; | 
| 412 | < |  | 
| 413 | < | return tmp; | 
| 410 | > | for (unsigned int i = 0; i < Dim; i++) | 
| 411 | > | tmp += v1[i] + v2[i]; | 
| 412 | > |  | 
| 413 | > | return tmp; | 
| 414 |  | } | 
| 415 |  |  | 
| 416 |  | /** | 
| 419 |  | * @param v2 second vector | 
| 420 |  | * @return the distance between v1 and v2 | 
| 421 |  | */ | 
| 422 | < | template<typename Real, int Dim> | 
| 422 | > | template<typename Real, unsigned int Dim> | 
| 423 |  | inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 424 |  | Vector<Real, Dim> tempVector = v1 - v2; | 
| 425 |  | return tempVector.length(); | 
| 431 |  | * @param v2 second vector | 
| 432 |  | * @return the squared distance between v1 and v2 | 
| 433 |  | */ | 
| 434 | < | template<typename Real, int Dim> | 
| 434 | > | template<typename Real, unsigned int Dim> | 
| 435 |  | inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 436 |  | Vector<Real, Dim> tempVector = v1 - v2; | 
| 437 |  | return tempVector.lengthSquare(); | 
| 440 |  | /** | 
| 441 |  | * Write to an output stream | 
| 442 |  | */ | 
| 443 | < | template<typename Real, int Dim> | 
| 444 | < | std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v1 ) { | 
| 445 | < |  | 
| 443 | > | template<typename Real, unsigned int Dim> | 
| 444 | > | std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { | 
| 445 | > |  | 
| 446 | > | o << "[" << v[0] << ", " << v[1] << ", " << v[2] << "]" << endl; | 
| 447 |  | return o; | 
| 448 |  | } | 
| 449 |  |  |