| 35 |
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|
| 36 |
|
#include <cassert> |
| 37 |
|
#include <cmath> |
| 38 |
+ |
#include <iostream> |
| 39 |
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|
| 40 |
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namespace oopse { |
| 41 |
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|
| 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 |
|
/** |
| 61 |
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* @class Vector Vector.hpp "math/Vector.hpp" |
| 62 |
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* @brief Fix length vector class |
| 63 |
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*/ |
| 64 |
< |
template<typename Real, int Dim> |
| 64 |
> |
template<typename Real, unsigned int Dim> |
| 65 |
|
class Vector{ |
| 66 |
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public: |
| 67 |
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|
| 68 |
+ |
typedef Real ElemType; |
| 69 |
+ |
typedef Real* ElemPoinerType; |
| 70 |
+ |
|
| 71 |
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/** default constructor */ |
| 72 |
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inline Vector(){ |
| 73 |
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for (unsigned int i = 0; i < Dim; i++) |
| 89 |
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|
| 90 |
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return *this; |
| 91 |
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} |
| 92 |
+ |
|
| 93 |
+ |
template<typename T> |
| 94 |
+ |
inline Vector(const T& s){ |
| 95 |
+ |
for (unsigned int i = 0; i < Dim; i++) |
| 96 |
+ |
data_[i] = s; |
| 97 |
+ |
} |
| 98 |
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|
| 99 |
|
/** Constructs and initializes a Vector from an array */ |
| 100 |
< |
inline Vector( double* v) { |
| 101 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 102 |
< |
data_[i] = v[i]; |
| 100 |
> |
inline Vector( Real* v) { |
| 101 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 102 |
> |
data_[i] = v[i]; |
| 103 |
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} |
| 104 |
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|
| 105 |
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/** |
| 107 |
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* @return reference of ith element |
| 108 |
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* @param i index |
| 109 |
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*/ |
| 110 |
< |
inline double& operator[](unsigned int i) { |
| 110 |
> |
inline Real& operator[](unsigned int i) { |
| 111 |
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assert( i < Dim); |
| 112 |
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return data_[i]; |
| 113 |
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} |
| 117 |
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* @return reference of ith element |
| 118 |
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* @param i index |
| 119 |
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*/ |
| 120 |
< |
inline double& operator()(unsigned int i) { |
| 120 |
> |
inline Real& operator()(unsigned int i) { |
| 121 |
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assert( i < Dim); |
| 122 |
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return data_[i]; |
| 123 |
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} |
| 127 |
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* @return reference of ith element |
| 128 |
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* @param i index |
| 129 |
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*/ |
| 130 |
< |
inline const double& operator[](unsigned int i) const { |
| 130 |
> |
inline const Real& operator[](unsigned int i) const { |
| 131 |
|
assert( i < Dim); |
| 132 |
|
return data_[i]; |
| 133 |
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} |
| 137 |
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* @return reference of ith element |
| 138 |
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* @param i index |
| 139 |
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*/ |
| 140 |
< |
inline const double& operator()(unsigned int i) const { |
| 140 |
> |
inline const Real& operator()(unsigned int i) const { |
| 141 |
|
assert( i < Dim); |
| 142 |
|
return data_[i]; |
| 143 |
|
} |
| 144 |
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|
| 145 |
+ |
/** Returns the pointer of internal array */ |
| 146 |
+ |
Real* getArrayPointer() { |
| 147 |
+ |
return data_; |
| 148 |
+ |
} |
| 149 |
+ |
|
| 150 |
+ |
/** |
| 151 |
+ |
* Tests if this vetor is equal to other vector |
| 152 |
+ |
* @return true if equal, otherwise return false |
| 153 |
+ |
* @param v vector to be compared |
| 154 |
+ |
*/ |
| 155 |
+ |
inline bool operator ==(const Vector<Real, Dim>& v) { |
| 156 |
+ |
|
| 157 |
+ |
for (unsigned int i = 0; i < Dim; i ++) { |
| 158 |
+ |
if (!equal(data_[i], v[i])) { |
| 159 |
+ |
return false; |
| 160 |
+ |
} |
| 161 |
+ |
} |
| 162 |
+ |
|
| 163 |
+ |
return true; |
| 164 |
+ |
} |
| 165 |
+ |
|
| 166 |
+ |
/** |
| 167 |
+ |
* Tests if this vetor is not equal to other vector |
| 168 |
+ |
* @return true if equal, otherwise return false |
| 169 |
+ |
* @param v vector to be compared |
| 170 |
+ |
*/ |
| 171 |
+ |
inline bool operator !=(const Vector<Real, Dim>& v) { |
| 172 |
+ |
return !(*this == v); |
| 173 |
+ |
} |
| 174 |
+ |
|
| 175 |
|
/** Negates the value of this vector in place. */ |
| 176 |
|
inline void negate() { |
| 177 |
< |
data_[0] = -data_[0]; |
| 178 |
< |
data_[1] = -data_[1]; |
| 121 |
< |
data_[2] = -data_[2]; |
| 177 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 178 |
> |
data_[i] = -data_[i]; |
| 179 |
|
} |
| 180 |
|
|
| 181 |
|
/** |
| 193 |
|
* @param v1 the other vector |
| 194 |
|
*/ |
| 195 |
|
inline void add( const Vector<Real, Dim>& v1 ) { |
| 196 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 197 |
< |
data_[i] += v1.data_[i]; |
| 198 |
< |
} |
| 196 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 197 |
> |
data_[i] += v1.data_[i]; |
| 198 |
> |
} |
| 199 |
|
|
| 200 |
|
/** |
| 201 |
|
* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). |
| 203 |
|
* @param v2 the second vector |
| 204 |
|
*/ |
| 205 |
|
inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
| 206 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 207 |
< |
data_[i] = v1.data_[i] + v2.data_[i]; |
| 206 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 207 |
> |
data_[i] = v1.data_[i] + v2.data_[i]; |
| 208 |
|
} |
| 209 |
|
|
| 210 |
|
/** |
| 230 |
|
* Sets the value of this vector to the scalar multiplication of itself (*this *= s). |
| 231 |
|
* @param s the scalar value |
| 232 |
|
*/ |
| 233 |
< |
inline void mul( double s ) { |
| 234 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 233 |
> |
inline void mul( Real s ) { |
| 234 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 235 |
|
data_[i] *= s; |
| 236 |
|
} |
| 237 |
|
|
| 238 |
|
/** |
| 239 |
|
* Sets the value of this vector to the scalar multiplication of vector v1 |
| 240 |
|
* (*this = s * v1). |
| 241 |
+ |
* @param v1 the vector |
| 242 |
|
* @param s the scalar value |
| 185 |
– |
* @param v1 the vector |
| 243 |
|
*/ |
| 244 |
< |
inline void mul( double s, const Vector<Real, Dim>& v1 ) { |
| 245 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 244 |
> |
inline void mul( const Vector<Real, Dim>& v1, Real s) { |
| 245 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 246 |
|
data_[i] = s * v1.data_[i]; |
| 247 |
|
} |
| 248 |
|
|
| 250 |
|
* Sets the value of this vector to the scalar division of itself (*this /= s ). |
| 251 |
|
* @param s the scalar value |
| 252 |
|
*/ |
| 253 |
< |
inline void div( double s) { |
| 254 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 253 |
> |
inline void div( Real s) { |
| 254 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 255 |
|
data_[i] /= s; |
| 256 |
|
} |
| 257 |
|
|
| 260 |
|
* @param v1 the source vector |
| 261 |
|
* @param s the scalar value |
| 262 |
|
*/ |
| 263 |
< |
inline void div( const Vector<Real, Dim>& v1, double s ) { |
| 264 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 263 |
> |
inline void div( const Vector<Real, Dim>& v1, Real s ) { |
| 264 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 265 |
|
data_[i] = v1.data_[i] / s; |
| 266 |
|
} |
| 267 |
|
|
| 268 |
|
/** @see #add */ |
| 269 |
< |
inline Vector<Real, Dim> operator +=( const Vector<Real, Dim>& v1 ) { |
| 269 |
> |
inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { |
| 270 |
|
add(v1); |
| 271 |
|
return *this; |
| 272 |
|
} |
| 273 |
|
|
| 274 |
|
/** @see #sub */ |
| 275 |
< |
inline Vector<Real, Dim> operator -=( const Vector<Real, Dim>& v1 ) { |
| 275 |
> |
inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { |
| 276 |
|
sub(v1); |
| 277 |
|
return *this; |
| 278 |
|
} |
| 279 |
|
|
| 280 |
|
/** @see #mul */ |
| 281 |
< |
inline Vector<Real, Dim> operator *=( double s) { |
| 281 |
> |
inline Vector<Real, Dim>& operator *=( Real s) { |
| 282 |
|
mul(s); |
| 283 |
|
return *this; |
| 284 |
|
} |
| 285 |
|
|
| 286 |
|
/** @see #div */ |
| 287 |
< |
inline Vector<Real, Dim> operator /=( double s ) { |
| 287 |
> |
inline Vector<Real, Dim>& operator /=( Real s ) { |
| 288 |
|
div(s); |
| 289 |
|
return *this; |
| 290 |
|
} |
| 293 |
|
* Returns the length of this vector. |
| 294 |
|
* @return the length of this vector |
| 295 |
|
*/ |
| 296 |
< |
inline double length() { |
| 297 |
< |
return sqrt(lengthSquared()); |
| 296 |
> |
inline Real length() { |
| 297 |
> |
return sqrt(lengthSquare()); |
| 298 |
|
} |
| 299 |
|
|
| 300 |
|
/** |
| 301 |
|
* Returns the squared length of this vector. |
| 302 |
|
* @return the squared length of this vector |
| 303 |
|
*/ |
| 304 |
< |
inline double lengthSquared() { |
| 304 |
> |
inline Real lengthSquare() { |
| 305 |
|
return dot(*this, *this); |
| 306 |
|
} |
| 307 |
|
|
| 308 |
|
/** Normalizes this vector in place */ |
| 309 |
|
inline void normalize() { |
| 310 |
< |
double len; |
| 310 |
> |
Real len; |
| 311 |
|
|
| 312 |
|
len = length(); |
| 313 |
+ |
|
| 314 |
+ |
//if (len < oopse:epsilon) |
| 315 |
+ |
// throw(); |
| 316 |
+ |
|
| 317 |
|
*this /= len; |
| 318 |
|
} |
| 319 |
+ |
|
| 320 |
+ |
/** |
| 321 |
+ |
* Tests if this vector is normalized |
| 322 |
+ |
* @return true if this vector is normalized, otherwise return false |
| 323 |
+ |
*/ |
| 324 |
+ |
inline bool isNormalized() { |
| 325 |
+ |
return equal(lengthSquare(), 1.0); |
| 326 |
+ |
} |
| 327 |
|
|
| 328 |
|
protected: |
| 329 |
< |
double data_[3]; |
| 329 |
> |
Real data_[Dim]; |
| 330 |
|
|
| 331 |
|
}; |
| 332 |
|
|
| 333 |
|
/** unary minus*/ |
| 334 |
< |
template<typename Real, int Dim> |
| 334 |
> |
template<typename Real, unsigned int Dim> |
| 335 |
|
inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ |
| 336 |
< |
Vector tmp(v1); |
| 337 |
< |
return tmp.negate(); |
| 336 |
> |
Vector<Real, Dim> tmp(v1); |
| 337 |
> |
tmp.negate(); |
| 338 |
> |
return tmp; |
| 339 |
|
} |
| 340 |
|
|
| 341 |
|
/** |
| 344 |
|
* @param v1 the first vector |
| 345 |
|
* @param v2 the second vector |
| 346 |
|
*/ |
| 347 |
< |
template<typename Real, int Dim> |
| 347 |
> |
template<typename Real, unsigned int Dim> |
| 348 |
|
inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
| 349 |
|
Vector<Real, Dim> result; |
| 350 |
|
|
| 358 |
|
* @param v1 the first vector |
| 359 |
|
* @param v2 the second vector |
| 360 |
|
*/ |
| 361 |
< |
template<typename Real, int Dim> |
| 361 |
> |
template<typename Real, unsigned int Dim> |
| 362 |
|
Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
| 363 |
|
Vector<Real, Dim> result; |
| 364 |
|
result.sub(v1, v2); |
| 371 |
|
* @param v1 the source vector |
| 372 |
|
* @param s the scalar value |
| 373 |
|
*/ |
| 374 |
< |
template<typename Real, int Dim> |
| 375 |
< |
Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) { |
| 374 |
> |
template<typename Real, unsigned int Dim> |
| 375 |
> |
Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) { |
| 376 |
|
Vector<Real, Dim> result; |
| 377 |
< |
result.mul(s, v1); |
| 377 |
> |
result.mul(v1,s); |
| 378 |
|
return result; |
| 379 |
|
} |
| 380 |
|
|
| 384 |
|
* @param s the scalar value |
| 385 |
|
* @param v1 the source vector |
| 386 |
|
*/ |
| 387 |
< |
template<typename Real, int Dim> |
| 388 |
< |
Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { |
| 387 |
> |
template<typename Real, unsigned int Dim> |
| 388 |
> |
Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) { |
| 389 |
|
Vector<Real, Dim> result; |
| 390 |
< |
result.mul(s, v1); |
| 390 |
> |
result.mul(v1, s); |
| 391 |
|
return result; |
| 392 |
|
} |
| 393 |
|
|
| 397 |
|
* @param v1 the source vector |
| 398 |
|
* @param s the scalar value |
| 399 |
|
*/ |
| 400 |
< |
template<typename Real, int Dim> |
| 401 |
< |
Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) { |
| 400 |
> |
template<typename Real, unsigned int Dim> |
| 401 |
> |
Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) { |
| 402 |
|
Vector<Real, Dim> result; |
| 403 |
|
result.div( v1,s); |
| 404 |
|
return result; |
| 405 |
|
} |
| 406 |
|
|
| 407 |
|
/** |
| 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 |
– |
/** |
| 408 |
|
* Returns the dot product of two Vectors |
| 409 |
|
* @param v1 first vector |
| 410 |
|
* @param v2 second vector |
| 411 |
|
* @return the dot product of v1 and v2 |
| 412 |
|
*/ |
| 413 |
< |
template<typename Real, int Dim> |
| 413 |
> |
template<typename Real, unsigned int Dim> |
| 414 |
|
inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
| 415 |
< |
Real tmp; |
| 416 |
< |
tmp = 0; |
| 415 |
> |
Real tmp; |
| 416 |
> |
tmp = 0; |
| 417 |
|
|
| 418 |
< |
for (unsigned int i = 0; i < Dim; i++) |
| 419 |
< |
tmp += v1[i] + v2[i]; |
| 420 |
< |
|
| 421 |
< |
return tmp; |
| 418 |
> |
for (unsigned int i = 0; i < Dim; i++) |
| 419 |
> |
tmp += v1[i] * v2[i]; |
| 420 |
> |
|
| 421 |
> |
return tmp; |
| 422 |
|
} |
| 423 |
|
|
| 424 |
|
/** |
| 427 |
|
* @param v2 second vector |
| 428 |
|
* @return the distance between v1 and v2 |
| 429 |
|
*/ |
| 430 |
< |
template<typename Real, int Dim> |
| 430 |
> |
template<typename Real, unsigned int Dim> |
| 431 |
|
inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
| 432 |
|
Vector<Real, Dim> tempVector = v1 - v2; |
| 433 |
|
return tempVector.length(); |
| 439 |
|
* @param v2 second vector |
| 440 |
|
* @return the squared distance between v1 and v2 |
| 441 |
|
*/ |
| 442 |
< |
template<typename Real, int Dim> |
| 442 |
> |
template<typename Real, unsigned int Dim> |
| 443 |
|
inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
| 444 |
|
Vector<Real, Dim> tempVector = v1 - v2; |
| 445 |
|
return tempVector.lengthSquare(); |
| 448 |
|
/** |
| 449 |
|
* Write to an output stream |
| 450 |
|
*/ |
| 451 |
< |
template<typename Real, int Dim> |
| 452 |
< |
std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v1 ) { |
| 451 |
> |
template<typename Real, unsigned int Dim> |
| 452 |
> |
std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { |
| 453 |
> |
|
| 454 |
> |
o << "[ "; |
| 455 |
|
|
| 456 |
+ |
for (unsigned int i = 0 ; i< Dim; i++) { |
| 457 |
+ |
o << v[i]; |
| 458 |
+ |
|
| 459 |
+ |
if (i != Dim -1) { |
| 460 |
+ |
o<< ", "; |
| 461 |
+ |
} |
| 462 |
+ |
} |
| 463 |
+ |
|
| 464 |
+ |
o << " ]"; |
| 465 |
|
return o; |
| 466 |
|
} |
| 467 |
|
|