# | Line 35 | Line 35 | |
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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 | /** | |
61 | * @class Vector Vector.hpp "math/Vector.hpp" | |
62 | * @brief Fix length vector class | |
63 | */ | |
64 | < | template<typename Real, int Dim> |
64 | > | template<typename Real, unsigned int Dim> |
65 | class Vector{ | |
66 | public: | |
67 | ||
68 | + | typedef Real ElemType; |
69 | + | typedef Real* ElemPoinerType; |
70 | + | |
71 | /** default constructor */ | |
72 | inline Vector(){ | |
73 | for (unsigned int i = 0; i < Dim; i++) | |
# | Line 67 | Line 89 | namespace oopse { | |
89 | ||
90 | return *this; | |
91 | } | |
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 | ||
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 | } | |
104 | ||
105 | /** | |
# | Line 79 | Line 107 | namespace oopse { | |
107 | * @return reference of ith element | |
108 | * @param i index | |
109 | */ | |
110 | < | inline double& operator[](unsigned int i) { |
110 | > | inline Real& operator[](unsigned int i) { |
111 | assert( i < Dim); | |
112 | return data_[i]; | |
113 | } | |
# | Line 89 | Line 117 | namespace oopse { | |
117 | * @return reference of ith element | |
118 | * @param i index | |
119 | */ | |
120 | < | inline double& operator()(unsigned int i) { |
120 | > | inline Real& operator()(unsigned int i) { |
121 | assert( i < Dim); | |
122 | return data_[i]; | |
123 | } | |
# | Line 99 | Line 127 | namespace oopse { | |
127 | * @return reference of ith element | |
128 | * @param i index | |
129 | */ | |
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 | } | |
# | Line 109 | Line 137 | namespace oopse { | |
137 | * @return reference of ith element | |
138 | * @param i index | |
139 | */ | |
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 | ||
145 | + | /** Copy the internal data to an array*/ |
146 | + | void getArray(Real* array) { |
147 | + | for (unsigned int i = 0; i < Dim; i ++) { |
148 | + | array[i] = data_[i]; |
149 | + | } |
150 | + | } |
151 | + | |
152 | + | /** Returns the pointer of internal array */ |
153 | + | Real* getArrayPointer() { |
154 | + | return data_; |
155 | + | } |
156 | + | |
157 | + | /** |
158 | + | * Tests if this vetor is 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 | + | |
164 | + | for (unsigned int i = 0; i < Dim; i ++) { |
165 | + | if (!equal(data_[i], v[i])) { |
166 | + | return false; |
167 | + | } |
168 | + | } |
169 | + | |
170 | + | return true; |
171 | + | } |
172 | + | |
173 | + | /** |
174 | + | * Tests if this vetor is not equal to other vector |
175 | + | * @return true if equal, otherwise return false |
176 | + | * @param v vector to be compared |
177 | + | */ |
178 | + | inline bool operator !=(const Vector<Real, Dim>& v) { |
179 | + | return !(*this == v); |
180 | + | } |
181 | + | |
182 | /** Negates the value of this vector in place. */ | |
183 | inline void negate() { | |
184 | < | data_[0] = -data_[0]; |
185 | < | data_[1] = -data_[1]; |
121 | < | data_[2] = -data_[2]; |
184 | > | for (unsigned int i = 0; i < Dim; i++) |
185 | > | data_[i] = -data_[i]; |
186 | } | |
187 | ||
188 | /** | |
# | Line 136 | Line 200 | namespace oopse { | |
200 | * @param v1 the other vector | |
201 | */ | |
202 | inline void add( const Vector<Real, Dim>& v1 ) { | |
203 | < | for (unsigned int i = 0; i < Dim; i++) |
204 | < | data_[i] += v1.data_[i]; |
205 | < | } |
203 | > | for (unsigned int i = 0; i < Dim; i++) |
204 | > | data_[i] += v1.data_[i]; |
205 | > | } |
206 | ||
207 | /** | |
208 | * Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). | |
# | Line 146 | Line 210 | namespace oopse { | |
210 | * @param v2 the second vector | |
211 | */ | |
212 | inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | |
213 | < | for (unsigned int i = 0; i < Dim; i++) |
214 | < | data_[i] = v1.data_[i] + v2.data_[i]; |
213 | > | for (unsigned int i = 0; i < Dim; i++) |
214 | > | data_[i] = v1.data_[i] + v2.data_[i]; |
215 | } | |
216 | ||
217 | /** | |
# | Line 173 | Line 237 | namespace oopse { | |
237 | * Sets the value of this vector to the scalar multiplication of itself (*this *= s). | |
238 | * @param s the scalar value | |
239 | */ | |
240 | < | inline void mul( double s ) { |
241 | < | for (unsigned int i = 0; i < Dim; i++) |
240 | > | inline void mul( Real s ) { |
241 | > | for (unsigned int i = 0; i < Dim; i++) |
242 | data_[i] *= s; | |
243 | } | |
244 | ||
245 | /** | |
246 | * Sets the value of this vector to the scalar multiplication of vector v1 | |
247 | * (*this = s * v1). | |
248 | + | * @param v1 the vector |
249 | * @param s the scalar value | |
185 | – | * @param v1 the vector |
250 | */ | |
251 | < | inline void mul( double s, const Vector<Real, Dim>& v1 ) { |
252 | < | for (unsigned int i = 0; i < Dim; i++) |
251 | > | inline void mul( const Vector<Real, Dim>& v1, Real s) { |
252 | > | for (unsigned int i = 0; i < Dim; i++) |
253 | data_[i] = s * v1.data_[i]; | |
254 | } | |
255 | ||
# | Line 193 | Line 257 | namespace oopse { | |
257 | * Sets the value of this vector to the scalar division of itself (*this /= s ). | |
258 | * @param s the scalar value | |
259 | */ | |
260 | < | inline void div( double s) { |
261 | < | for (unsigned int i = 0; i < Dim; i++) |
260 | > | inline void div( Real s) { |
261 | > | for (unsigned int i = 0; i < Dim; i++) |
262 | data_[i] /= s; | |
263 | } | |
264 | ||
# | Line 203 | Line 267 | namespace oopse { | |
267 | * @param v1 the source vector | |
268 | * @param s the scalar value | |
269 | */ | |
270 | < | inline void div( const Vector<Real, Dim>& v1, double s ) { |
271 | < | for (unsigned int i = 0; i < Dim; i++) |
270 | > | inline void div( const Vector<Real, Dim>& v1, Real s ) { |
271 | > | for (unsigned int i = 0; i < Dim; i++) |
272 | data_[i] = v1.data_[i] / s; | |
273 | } | |
274 | ||
275 | /** @see #add */ | |
276 | < | inline Vector<Real, Dim> operator +=( const Vector<Real, Dim>& v1 ) { |
276 | > | inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { |
277 | add(v1); | |
278 | return *this; | |
279 | } | |
280 | ||
281 | /** @see #sub */ | |
282 | < | inline Vector<Real, Dim> operator -=( const Vector<Real, Dim>& v1 ) { |
282 | > | inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { |
283 | sub(v1); | |
284 | return *this; | |
285 | } | |
286 | ||
287 | /** @see #mul */ | |
288 | < | inline Vector<Real, Dim> operator *=( double s) { |
288 | > | inline Vector<Real, Dim>& operator *=( Real s) { |
289 | mul(s); | |
290 | return *this; | |
291 | } | |
292 | ||
293 | /** @see #div */ | |
294 | < | inline Vector<Real, Dim> operator /=( double s ) { |
294 | > | inline Vector<Real, Dim>& operator /=( Real s ) { |
295 | div(s); | |
296 | return *this; | |
297 | } | |
# | Line 236 | Line 300 | namespace oopse { | |
300 | * Returns the length of this vector. | |
301 | * @return the length of this vector | |
302 | */ | |
303 | < | inline double length() { |
304 | < | return sqrt(lengthSquared()); |
303 | > | inline Real length() { |
304 | > | return sqrt(lengthSquare()); |
305 | } | |
306 | ||
307 | /** | |
308 | * Returns the squared length of this vector. | |
309 | * @return the squared length of this vector | |
310 | */ | |
311 | < | inline double lengthSquared() { |
311 | > | inline Real lengthSquare() { |
312 | return dot(*this, *this); | |
313 | } | |
314 | ||
315 | /** Normalizes this vector in place */ | |
316 | inline void normalize() { | |
317 | < | double len; |
317 | > | Real len; |
318 | ||
319 | len = length(); | |
320 | + | |
321 | + | //if (len < oopse:epsilon) |
322 | + | // throw(); |
323 | + | |
324 | *this /= len; | |
325 | } | |
326 | + | |
327 | + | /** |
328 | + | * Tests if this vector is normalized |
329 | + | * @return true if this vector is normalized, otherwise return false |
330 | + | */ |
331 | + | inline bool isNormalized() { |
332 | + | return equal(lengthSquare(), 1.0); |
333 | + | } |
334 | ||
335 | protected: | |
336 | < | double data_[3]; |
336 | > | Real data_[Dim]; |
337 | ||
338 | }; | |
339 | ||
340 | /** unary minus*/ | |
341 | < | template<typename Real, int Dim> |
341 | > | template<typename Real, unsigned int Dim> |
342 | inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ | |
343 | < | Vector tmp(v1); |
344 | < | return tmp.negate(); |
343 | > | Vector<Real, Dim> tmp(v1); |
344 | > | tmp.negate(); |
345 | > | return tmp; |
346 | } | |
347 | ||
348 | /** | |
# | Line 274 | Line 351 | namespace oopse { | |
351 | * @param v1 the first vector | |
352 | * @param v2 the second vector | |
353 | */ | |
354 | < | template<typename Real, int Dim> |
354 | > | template<typename Real, unsigned int Dim> |
355 | inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | |
356 | Vector<Real, Dim> result; | |
357 | ||
# | Line 288 | Line 365 | namespace oopse { | |
365 | * @param v1 the first vector | |
366 | * @param v2 the second vector | |
367 | */ | |
368 | < | template<typename Real, int Dim> |
368 | > | template<typename Real, unsigned int Dim> |
369 | Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | |
370 | Vector<Real, Dim> result; | |
371 | result.sub(v1, v2); | |
# | Line 301 | Line 378 | namespace oopse { | |
378 | * @param v1 the source vector | |
379 | * @param s the scalar value | |
380 | */ | |
381 | < | template<typename Real, int Dim> |
382 | < | Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) { |
381 | > | template<typename Real, unsigned int Dim> |
382 | > | Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) { |
383 | Vector<Real, Dim> result; | |
384 | < | result.mul(s, v1); |
384 | > | result.mul(v1,s); |
385 | return result; | |
386 | } | |
387 | ||
# | Line 314 | Line 391 | namespace oopse { | |
391 | * @param s the scalar value | |
392 | * @param v1 the source vector | |
393 | */ | |
394 | < | template<typename Real, int Dim> |
395 | < | Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { |
394 | > | template<typename Real, unsigned int Dim> |
395 | > | Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) { |
396 | Vector<Real, Dim> result; | |
397 | < | result.mul(s, v1); |
397 | > | result.mul(v1, s); |
398 | return result; | |
399 | } | |
400 | ||
# | Line 327 | Line 404 | namespace oopse { | |
404 | * @param v1 the source vector | |
405 | * @param s the scalar value | |
406 | */ | |
407 | < | template<typename Real, int Dim> |
408 | < | Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) { |
407 | > | template<typename Real, unsigned int Dim> |
408 | > | Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) { |
409 | Vector<Real, Dim> result; | |
410 | result.div( v1,s); | |
411 | return result; | |
412 | } | |
413 | ||
414 | /** | |
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 | – | /** |
415 | * Returns the dot product of two Vectors | |
416 | * @param v1 first vector | |
417 | * @param v2 second vector | |
418 | * @return the dot product of v1 and v2 | |
419 | */ | |
420 | < | template<typename Real, int Dim> |
420 | > | template<typename Real, unsigned int Dim> |
421 | inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | |
422 | < | Real tmp; |
423 | < | tmp = 0; |
422 | > | Real tmp; |
423 | > | tmp = 0; |
424 | ||
425 | < | for (unsigned int i = 0; i < Dim; i++) |
426 | < | tmp += v1[i] + v2[i]; |
427 | < | |
428 | < | return tmp; |
425 | > | for (unsigned int i = 0; i < Dim; i++) |
426 | > | tmp += v1[i] * v2[i]; |
427 | > | |
428 | > | return tmp; |
429 | } | |
430 | ||
431 | /** | |
# | Line 377 | Line 434 | namespace oopse { | |
434 | * @param v2 second vector | |
435 | * @return the distance between v1 and v2 | |
436 | */ | |
437 | < | template<typename Real, int Dim> |
437 | > | template<typename Real, unsigned int Dim> |
438 | inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | |
439 | Vector<Real, Dim> tempVector = v1 - v2; | |
440 | return tempVector.length(); | |
# | Line 389 | Line 446 | namespace oopse { | |
446 | * @param v2 second vector | |
447 | * @return the squared distance between v1 and v2 | |
448 | */ | |
449 | < | template<typename Real, int Dim> |
449 | > | template<typename Real, unsigned int Dim> |
450 | inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | |
451 | Vector<Real, Dim> tempVector = v1 - v2; | |
452 | return tempVector.lengthSquare(); | |
# | Line 398 | Line 455 | namespace oopse { | |
455 | /** | |
456 | * Write to an output stream | |
457 | */ | |
458 | < | template<typename Real, int Dim> |
459 | < | std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v1 ) { |
458 | > | template<typename Real, unsigned int Dim> |
459 | > | std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { |
460 | > | |
461 | > | o << "[ "; |
462 | ||
463 | + | for (unsigned int i = 0 ; i< Dim; i++) { |
464 | + | o << v[i]; |
465 | + | |
466 | + | if (i != Dim -1) { |
467 | + | o<< ", "; |
468 | + | } |
469 | + | } |
470 | + | |
471 | + | o << " ]"; |
472 | return o; | |
473 | } | |
474 |
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