| 35 | 
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#include <cassert> | 
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#include <cmath> | 
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#include <iostream> | 
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 | 
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namespace oopse { | 
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 | 
| 42 | 
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    const double epsilon = 0.000001; | 
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 | 
| 44 | 
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    template<typename T> | 
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    inline bool equal(T e1, T e2) { | 
| 46 | 
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        return e1 == e2; | 
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    } | 
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 | 
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    template<> | 
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    inline bool equal(float e1, float e2) { | 
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        return fabs(e1 - e2) < epsilon; | 
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    } | 
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 | 
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    template<> | 
| 55 | 
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    inline bool equal(double e1, double e2) { | 
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        return fabs(e1 - e2) < epsilon; | 
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    } | 
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     | 
| 59 | 
  | 
    /** | 
| 60 | 
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     * @class Vector Vector.hpp "math/Vector.hpp" | 
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     * @brief Fix length vector class | 
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     */ | 
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< | 
    template<typename Real, int Dim> | 
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    template<typename Real, unsigned int Dim> | 
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    class Vector{ | 
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        public: | 
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 | 
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             | 
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            /** Constructs and initializes a Vector from an array */             | 
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            inline Vector( double* v) { | 
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                for (unsigned int i = 0; i < Dim; i++) | 
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                    data_[i] = v[i]; | 
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                for (unsigned int i = 0; i < Dim; i++) | 
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                    data_[i] = v[i]; | 
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            } | 
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 | 
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            /**  | 
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                return data_[i]; | 
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            } | 
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 | 
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            /** | 
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             * Tests if this vetor is equal to other vector | 
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             * @return true if equal, otherwise return false | 
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             * @param v vector to be compared | 
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             */ | 
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             inline bool operator ==(const Vector<Real, Dim>& v) { | 
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 | 
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                for (unsigned int i = 0; i < Dim; i ++) { | 
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                    if (!equal(data_[i], v[i])) { | 
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                        return false; | 
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                    } | 
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                } | 
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                 | 
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                return true; | 
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            } | 
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 | 
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            /** | 
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             * Tests if this vetor is not equal to other vector | 
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             * @return true if equal, otherwise return false | 
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             * @param v vector to be compared | 
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             */ | 
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            inline bool operator !=(const Vector<Real, Dim>& v) { | 
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                return !(*this == v); | 
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            } | 
| 159 | 
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              | 
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            /** Negates the value of this vector in place. */            | 
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            inline void negate() { | 
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                data_[0] = -data_[0]; | 
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            * @param v1 the other vector | 
| 180 | 
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            */ | 
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            inline void add( const Vector<Real, Dim>& v1 ) { | 
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                for (unsigned int i = 0; i < Dim; i++) | 
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                    data_[i] += v1.data_[i]; | 
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> | 
            for (unsigned int i = 0; i < Dim; i++) | 
| 183 | 
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                data_[i] += v1.data_[i]; | 
| 184 | 
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                } | 
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 | 
| 186 | 
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            /** | 
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            * @param v2 the second vector | 
| 190 | 
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            */ | 
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            inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 192 | 
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                for (unsigned int i = 0; i < Dim; i++) | 
| 193 | 
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                    data_[i] = v1.data_[i] + v2.data_[i]; | 
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> | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 193 | 
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                    data_[i] = v1.data_[i] + v2.data_[i]; | 
| 194 | 
  | 
            } | 
| 195 | 
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 | 
| 196 | 
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            /** | 
| 217 | 
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            * @param s the scalar value | 
| 218 | 
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            */ | 
| 219 | 
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            inline void mul( double s ) { | 
| 220 | 
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                for (unsigned int i = 0; i < Dim; i++) | 
| 220 | 
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                for (unsigned int i = 0; i < Dim; i++) | 
| 221 | 
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                   data_[i] *= s; | 
| 222 | 
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            } | 
| 223 | 
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 | 
| 228 | 
  | 
            * @param v1 the vector | 
| 229 | 
  | 
            */ | 
| 230 | 
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            inline void mul( double s, const Vector<Real, Dim>& v1 ) { | 
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                for (unsigned int i = 0; i < Dim; i++) | 
| 231 | 
> | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 232 | 
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                    data_[i] = s * v1.data_[i]; | 
| 233 | 
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            } | 
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 | 
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            * @param s the scalar value | 
| 238 | 
  | 
            */              | 
| 239 | 
  | 
            inline void div( double s) { | 
| 240 | 
< | 
                for (unsigned int i = 0; i < Dim; i++)             | 
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> | 
                for (unsigned int i = 0; i < Dim; i++)             | 
| 241 | 
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                    data_[i] /= s; | 
| 242 | 
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            } | 
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 | 
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            * @param s the scalar value | 
| 248 | 
  | 
            */                          | 
| 249 | 
  | 
            inline void div( const Vector<Real, Dim>& v1, double s ) { | 
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                for (unsigned int i = 0; i < Dim; i++) | 
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> | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 251 | 
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                    data_[i] = v1.data_[i] / s; | 
| 252 | 
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            } | 
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 | 
| 254 | 
  | 
            /** @see #add */ | 
| 255 | 
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            inline Vector<Real, Dim> operator +=( const Vector<Real, Dim>& v1 ) { | 
| 255 | 
> | 
            inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { | 
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                add(v1); | 
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  | 
                return *this; | 
| 258 | 
  | 
            } | 
| 259 | 
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 | 
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  | 
            /** @see #sub */ | 
| 261 | 
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            inline Vector<Real, Dim> operator -=( const Vector<Real, Dim>& v1 ) { | 
| 261 | 
> | 
            inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { | 
| 262 | 
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                sub(v1); | 
| 263 | 
  | 
                return *this; | 
| 264 | 
  | 
            } | 
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 | 
| 266 | 
  | 
            /** @see #mul */ | 
| 267 | 
< | 
            inline Vector<Real, Dim> operator *=( double s) { | 
| 267 | 
> | 
            inline Vector<Real, Dim>& operator *=( double s) { | 
| 268 | 
  | 
                mul(s); | 
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                return *this; | 
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  | 
            } | 
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 | 
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  | 
            /** @see #div */ | 
| 273 | 
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            inline Vector<Real, Dim> operator /=( double s ) { | 
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> | 
            inline Vector<Real, Dim>& operator /=( double s ) { | 
| 274 | 
  | 
                div(s); | 
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  | 
                return *this; | 
| 276 | 
  | 
            } | 
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  | 
             * Returns the squared length of this vector. | 
| 288 | 
  | 
             * @return the squared length of this vector | 
| 289 | 
  | 
             */ | 
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< | 
             inline double lengthSquared() { | 
| 290 | 
> | 
             inline double lengthSquare() { | 
| 291 | 
  | 
                return dot(*this, *this); | 
| 292 | 
  | 
            } | 
| 293 | 
  | 
             | 
| 298 | 
  | 
                len = length(); | 
| 299 | 
  | 
                *this /= len; | 
| 300 | 
  | 
            } | 
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 | 
| 302 | 
+ | 
            /** | 
| 303 | 
+ | 
             * Tests if this vector is normalized | 
| 304 | 
+ | 
             * @return true if this vector is normalized, otherwise return false | 
| 305 | 
+ | 
             */ | 
| 306 | 
+ | 
            inline bool isNormalized() const | 
| 307 | 
+ | 
            { | 
| 308 | 
+ | 
                return lengthSquare() == 1.0; | 
| 309 | 
+ | 
            }            | 
| 310 | 
  | 
             | 
| 311 | 
  | 
        protected: | 
| 312 | 
  | 
            double data_[3]; | 
| 314 | 
  | 
    }; | 
| 315 | 
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 | 
| 316 | 
  | 
    /** unary minus*/ | 
| 317 | 
< | 
    template<typename Real, int Dim>     | 
| 317 | 
> | 
    template<typename Real, unsigned int Dim>     | 
| 318 | 
  | 
    inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ | 
| 319 | 
  | 
        Vector tmp(v1); | 
| 320 | 
  | 
        return tmp.negate(); | 
| 326 | 
  | 
     * @param v1 the first vector | 
| 327 | 
  | 
     * @param v2 the second vector | 
| 328 | 
  | 
     */    | 
| 329 | 
< | 
    template<typename Real, int Dim>     | 
| 329 | 
> | 
    template<typename Real, unsigned int Dim>     | 
| 330 | 
  | 
    inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 331 | 
  | 
        Vector<Real, Dim> result; | 
| 332 | 
  | 
         | 
| 340 | 
  | 
     * @param v1 the first vector | 
| 341 | 
  | 
     * @param v2 the second vector | 
| 342 | 
  | 
     */   | 
| 343 | 
< | 
    template<typename Real, int Dim>     | 
| 343 | 
> | 
    template<typename Real, unsigned int Dim>     | 
| 344 | 
  | 
    Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 345 | 
  | 
        Vector<Real, Dim> result; | 
| 346 | 
  | 
        result.sub(v1, v2); | 
| 353 | 
  | 
     * @param v1 the source vector | 
| 354 | 
  | 
     * @param s the scalar value | 
| 355 | 
  | 
     */  | 
| 356 | 
< | 
    template<typename Real, int Dim>                  | 
| 356 | 
> | 
    template<typename Real, unsigned int Dim>                  | 
| 357 | 
  | 
    Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) {        | 
| 358 | 
  | 
        Vector<Real, Dim> result; | 
| 359 | 
  | 
        result.mul(s, v1); | 
| 366 | 
  | 
     * @param s the scalar value | 
| 367 | 
  | 
     * @param v1 the source vector | 
| 368 | 
  | 
     */   | 
| 369 | 
< | 
    template<typename Real, int Dim> | 
| 369 | 
> | 
    template<typename Real, unsigned int Dim> | 
| 370 | 
  | 
    Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { | 
| 371 | 
  | 
        Vector<Real, Dim> result; | 
| 372 | 
  | 
        result.mul(s, v1); | 
| 379 | 
  | 
     * @param v1 the source vector | 
| 380 | 
  | 
     * @param s the scalar value | 
| 381 | 
  | 
     */ | 
| 382 | 
< | 
    template<typename Real, int Dim>     | 
| 382 | 
> | 
    template<typename Real, unsigned int Dim>     | 
| 383 | 
  | 
    Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) {        | 
| 384 | 
  | 
        Vector<Real, Dim> result; | 
| 385 | 
  | 
        result.div( v1,s); | 
| 392 | 
  | 
     * @param s the scalar value | 
| 393 | 
  | 
     * @param v1 the source vector | 
| 394 | 
  | 
     */ | 
| 395 | 
< | 
    template<typename Real, int Dim>         | 
| 395 | 
> | 
    template<typename Real, unsigned int Dim>         | 
| 396 | 
  | 
    inline Vector<Real, Dim> operator /( double s, const Vector<Real, Dim>& v1 ) { | 
| 397 | 
  | 
        Vector<Real, Dim> result; | 
| 398 | 
  | 
        result.div( v1,s); | 
| 400 | 
  | 
    } | 
| 401 | 
  | 
 | 
| 402 | 
  | 
    /** fuzzy comparson */ | 
| 403 | 
< | 
    template<typename Real, int Dim>         | 
| 403 | 
> | 
    template<typename Real, unsigned int Dim>         | 
| 404 | 
  | 
    inline bool epsilonEqual( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 405 | 
  | 
 | 
| 406 | 
  | 
    } | 
| 412 | 
  | 
     * @param v2 second vector | 
| 413 | 
  | 
     * @return the dot product of v1 and v2 | 
| 414 | 
  | 
     */ | 
| 415 | 
< | 
    template<typename Real, int Dim>     | 
| 415 | 
> | 
    template<typename Real, unsigned int Dim>     | 
| 416 | 
  | 
    inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 417 | 
< | 
                Real tmp; | 
| 418 | 
< | 
                tmp = 0; | 
| 417 | 
> | 
        Real tmp; | 
| 418 | 
> | 
        tmp = 0; | 
| 419 | 
  | 
 | 
| 420 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 421 | 
< | 
                        tmp += v1[i] + v2[i]; | 
| 422 | 
< | 
                 | 
| 423 | 
< | 
                return tmp; | 
| 420 | 
> | 
        for (unsigned int i = 0; i < Dim; i++) | 
| 421 | 
> | 
            tmp += v1[i] + v2[i]; | 
| 422 | 
> | 
 | 
| 423 | 
> | 
        return tmp; | 
| 424 | 
  | 
    } | 
| 425 | 
  | 
 | 
| 426 | 
  | 
    /** | 
| 429 | 
  | 
     * @param v2 second vector | 
| 430 | 
  | 
     * @return the distance between v1 and v2 | 
| 431 | 
  | 
     */  | 
| 432 | 
< | 
    template<typename Real, int Dim>     | 
| 432 | 
> | 
    template<typename Real, unsigned int Dim>     | 
| 433 | 
  | 
    inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 434 | 
  | 
        Vector<Real, Dim> tempVector = v1 - v2; | 
| 435 | 
  | 
        return tempVector.length(); | 
| 441 | 
  | 
     * @param v2 second vector | 
| 442 | 
  | 
     * @return the squared distance between v1 and v2 | 
| 443 | 
  | 
     */ | 
| 444 | 
< | 
    template<typename Real, int Dim> | 
| 444 | 
> | 
    template<typename Real, unsigned int Dim> | 
| 445 | 
  | 
    inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 446 | 
  | 
        Vector<Real, Dim> tempVector = v1 - v2; | 
| 447 | 
  | 
        return tempVector.lengthSquare(); | 
| 450 | 
  | 
    /** | 
| 451 | 
  | 
     * Write to an output stream | 
| 452 | 
  | 
     */ | 
| 453 | 
< | 
    template<typename Real, int Dim> | 
| 454 | 
< | 
    std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v1 ) { | 
| 455 | 
< | 
         | 
| 453 | 
> | 
    template<typename Real, unsigned int Dim> | 
| 454 | 
> | 
    std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { | 
| 455 | 
> | 
 | 
| 456 | 
> | 
        o << "[" << v[0] << ", " << v[1] << ", " << v[2] << "]" << endl; | 
| 457 | 
  | 
        return o;         | 
| 458 | 
  | 
    } | 
| 459 | 
  | 
     |