OpenVDB: BBox.h Source File

OpenVDB 5.2.0

BBox.h
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1 //
3 // Copyright (c) 2012-2018 DreamWorks Animation LLC
4 //
5 // All rights reserved. This software is distributed under the
6 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
7 //
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10 //
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30
31 #ifndef OPENVDB_MATH_BBOX_HAS_BEEN_INCLUDED
32 #define OPENVDB_MATH_BBOX_HAS_BEEN_INCLUDED
33
34 #include "Math.h" // for math::isApproxEqual() and math::Tolerance()
35 #include "Vec3.h"
36 #include <algorithm> // for std::min(), std::max()
37 #include <cmath> // for std::abs()
38 #include <iostream>
39 #include <limits>
40 #include <type_traits>
41
42
43 namespace openvdb {
44 OPENVDB_USE_VERSION_NAMESPACE
45 namespace OPENVDB_VERSION_NAME {
46 namespace math {
47
49 template<typename Vec3T>
50 class BBox
51 {
52 public:
53 using Vec3Type = Vec3T;
54 using ValueType = Vec3T;
55 using VectorType = Vec3T;
56 using ElementType = typename Vec3Type::ValueType;
57
59 BBox();
62 BBox(const Vec3T& xyzMin, const Vec3T& xyzMax);
67 BBox(const Vec3T& xyzMin, const Vec3T& xyzMax, bool sorted);
71 BBox(const Vec3T& xyzMin, const ElementType& length);
72
79 explicit BBox(const ElementType* xyz, bool sorted = true);
80
81 BBox(const BBox&) = default;
82 BBox& operator=(const BBox&) = default;
83
86 void sort();
87
89 const Vec3T& min() const { return mMin; }
91 const Vec3T& max() const { return mMax; }
93 Vec3T& min() { return mMin; }
95 Vec3T& max() { return mMax; }
96
98 bool operator==(const BBox& rhs) const;
100 bool operator!=(const BBox& rhs) const { return !(*this == rhs); }
101
103 bool empty() const;
105 bool hasVolume() const { return !this->empty(); }
107 operator bool() const { return !this->empty(); }
108
113 bool isSorted() const;
114
116 Vec3d getCenter() const;
117
120 Vec3T extents() const;
122 size_t maxExtent() const { return MaxIndex(mMax - mMin); }
124 size_t minExtent() const { return MinIndex(mMax - mMin); }
125
127 ElementType volume() const { Vec3T e = this->extents(); return e[0] * e[1] * e[2]; }
128
130 bool isInside(const Vec3T& xyz) const;
132 bool isInside(const BBox&) const;
134 bool hasOverlap(const BBox&) const;
136 bool intersects(const BBox& other) const { return hasOverlap(other); }
137
139 void expand(ElementType padding);
141 void expand(const Vec3T& xyz);
143 void expand(const BBox&);
147 void expand(const Vec3T& xyzMin, const ElementType& length);
148
151 void translate(const Vec3T& t);
152
154 template<typename MapType>
155 BBox applyMap(const MapType& map) const;
157 template<typename MapType>
158 BBox applyInverseMap(const MapType& map) const;
159
161 void read(std::istream& is) { mMin.read(is); mMax.read(is); }
163 void write(std::ostream& os) const { mMin.write(os); mMax.write(os); }
164
165 private:
166 Vec3T mMin, mMax;
167 }; // class BBox
168
169
171
172
173 template<typename Vec3T>
174 inline
175 BBox<Vec3T>::BBox():
176 mMin( std::numeric_limits<ElementType>::max()),
177 mMax(-std::numeric_limits<ElementType>::max())
178 {
179 }
180
181 template<typename Vec3T>
182 inline
183 BBox<Vec3T>::BBox(const Vec3T& xyzMin, const Vec3T& xyzMax):
184 mMin(xyzMin), mMax(xyzMax)
185 {
186 }
187
188 template<typename Vec3T>
189 inline
190 BBox<Vec3T>::BBox(const Vec3T& xyzMin, const Vec3T& xyzMax, bool sorted):
191 mMin(xyzMin), mMax(xyzMax)
192 {
193 if (!sorted) this->sort();
194 }
195
196 template<typename Vec3T>
197 inline
198 BBox<Vec3T>::BBox(const Vec3T& xyzMin, const ElementType& length):
199 mMin(xyzMin), mMax(xyzMin)
200 {
201 // min and max are inclusive for integral ElementType
202 const ElementType size = std::is_integral<ElementType>::value ? length-1 : length;
203 mMax[0] += size;
204 mMax[1] += size;
205 mMax[2] += size;
206 }
207
208 template<typename Vec3T>
209 inline
210 BBox<Vec3T>::BBox(const ElementType* xyz, bool sorted):
211 mMin(xyz[0], xyz[1], xyz[2]),
212 mMax(xyz[3], xyz[4], xyz[5])
213 {
214 if (!sorted) this->sort();
215 }
216
217
219
220
221 template<typename Vec3T>
222 inline bool
223 BBox<Vec3T>::empty() const
224 {
225 if (std::is_integral<ElementType>::value) {
226 // min and max are inclusive for integral ElementType
227 return (mMin[0] > mMax[0] || mMin[1] > mMax[1] || mMin[2] > mMax[2]);
228 }
229 return mMin[0] >= mMax[0] || mMin[1] >= mMax[1] || mMin[2] >= mMax[2];
230 }
231
232
233 template<typename Vec3T>
234 inline bool
235 BBox<Vec3T>::operator==(const BBox& rhs) const
236 {
237 if (std::is_integral<ElementType>::value) {
238 return mMin == rhs.min() && mMax == rhs.max();
239 } else {
240 return math::isApproxEqual(mMin, rhs.min()) && math::isApproxEqual(mMax, rhs.max());
241 }
242 }
243
244
245 template<typename Vec3T>
246 inline void
247 BBox<Vec3T>::sort()
248 {
249 Vec3T tMin(mMin), tMax(mMax);
250 for (int i = 0; i < 3; ++i) {
251 mMin[i] = std::min(tMin[i], tMax[i]);
252 mMax[i] = std::max(tMin[i], tMax[i]);
253 }
254 }
255
256
257 template<typename Vec3T>
258 inline bool
259 BBox<Vec3T>::isSorted() const
260 {
261 if (std::is_integral<ElementType>::value) {
262 return (mMin[0] <= mMax[0] && mMin[1] <= mMax[1] && mMin[2] <= mMax[2]);
263 } else {
264 ElementType t = math::Tolerance<ElementType>::value();
265 return (mMin[0] < (mMax[0] + t) && mMin[1] < (mMax[1] + t) && mMin[2] < (mMax[2] + t));
266 }
267 }
268
269
270 template<typename Vec3T>
271 inline Vec3d
272 BBox<Vec3T>::getCenter() const
273 {
274 return (Vec3d(mMin.asPointer()) + Vec3d(mMax.asPointer())) * 0.5;
275 }
276
277
278 template<typename Vec3T>
279 inline Vec3T
280 BBox<Vec3T>::extents() const
281 {
282 if (std::is_integral<ElementType>::value) {
283 return (mMax - mMin) + Vec3T(1, 1, 1);
284 } else {
285 return (mMax - mMin);
286 }
287 }
288
290
291
292 template<typename Vec3T>
293 inline bool
294 BBox<Vec3T>::isInside(const Vec3T& xyz) const
295 {
296 if (std::is_integral<ElementType>::value) {
297 return xyz[0] >= mMin[0] && xyz[0] <= mMax[0] &&
298 xyz[1] >= mMin[1] && xyz[1] <= mMax[1] &&
299 xyz[2] >= mMin[2] && xyz[2] <= mMax[2];
300 } else {
301 ElementType t = math::Tolerance<ElementType>::value();
302 return xyz[0] > (mMin[0]-t) && xyz[0] < (mMax[0]+t) &&
303 xyz[1] > (mMin[1]-t) && xyz[1] < (mMax[1]+t) &&
304 xyz[2] > (mMin[2]-t) && xyz[2] < (mMax[2]+t);
305 }
306 }
307
308
309 template<typename Vec3T>
310 inline bool
311 BBox<Vec3T>::isInside(const BBox& b) const
312 {
313 if (std::is_integral<ElementType>::value) {
314 return b.min()[0] >= mMin[0] && b.max()[0] <= mMax[0] &&
315 b.min()[1] >= mMin[1] && b.max()[1] <= mMax[1] &&
316 b.min()[2] >= mMin[2] && b.max()[2] <= mMax[2];
317 } else {
318 ElementType t = math::Tolerance<ElementType>::value();
319 return (b.min()[0]-t) > mMin[0] && (b.max()[0]+t) < mMax[0] &&
320 (b.min()[1]-t) > mMin[1] && (b.max()[1]+t) < mMax[1] &&
321 (b.min()[2]-t) > mMin[2] && (b.max()[2]+t) < mMax[2];
322 }
323 }
324
325
326 template<typename Vec3T>
327 inline bool
328 BBox<Vec3T>::hasOverlap(const BBox& b) const
329 {
330 if (std::is_integral<ElementType>::value) {
331 return mMax[0] >= b.min()[0] && mMin[0] <= b.max()[0] &&
332 mMax[1] >= b.min()[1] && mMin[1] <= b.max()[1] &&
333 mMax[2] >= b.min()[2] && mMin[2] <= b.max()[2];
334 } else {
335 ElementType t = math::Tolerance<ElementType>::value();
336 return mMax[0] > (b.min()[0]-t) && mMin[0] < (b.max()[0]+t) &&
337 mMax[1] > (b.min()[1]-t) && mMin[1] < (b.max()[1]+t) &&
338 mMax[2] > (b.min()[2]-t) && mMin[2] < (b.max()[2]+t);
339 }
340 }
341
342
344
345
346 template<typename Vec3T>
347 inline void
348 BBox<Vec3T>::expand(ElementType dx)
349 {
350 dx = std::abs(dx);
351 for (int i = 0; i < 3; ++i) {
352 mMin[i] -= dx;
353 mMax[i] += dx;
354 }
355 }
356
357
358 template<typename Vec3T>
359 inline void
360 BBox<Vec3T>::expand(const Vec3T& xyz)
361 {
362 for (int i = 0; i < 3; ++i) {
363 mMin[i] = std::min(mMin[i], xyz[i]);
364 mMax[i] = std::max(mMax[i], xyz[i]);
365 }
366 }
367
368
369 template<typename Vec3T>
370 inline void
371 BBox<Vec3T>::expand(const BBox& b)
372 {
373 for (int i = 0; i < 3; ++i) {
374 mMin[i] = std::min(mMin[i], b.min()[i]);
375 mMax[i] = std::max(mMax[i], b.max()[i]);
376 }
377 }
378
379 template<typename Vec3T>
380 inline void
381 BBox<Vec3T>::expand(const Vec3T& xyzMin, const ElementType& length)
382 {
383 const ElementType size = std::is_integral<ElementType>::value ? length-1 : length;
384 for (int i = 0; i < 3; ++i) {
385 mMin[i] = std::min(mMin[i], xyzMin[i]);
386 mMax[i] = std::max(mMax[i], xyzMin[i] + size);
387 }
388 }
389
390
391 template<typename Vec3T>
392 inline void
393 BBox<Vec3T>::translate(const Vec3T& dx)
394 {
395 mMin += dx;
396 mMax += dx;
397 }
398
399 template<typename Vec3T>
400 template<typename MapType>
401 inline BBox<Vec3T>
402 BBox<Vec3T>::applyMap(const MapType& map) const
403 {
404 using Vec3R = Vec3<double>;
405 BBox<Vec3T> bbox;
406 bbox.expand(map.applyMap(Vec3R(mMin[0], mMin[1], mMin[2])));
407 bbox.expand(map.applyMap(Vec3R(mMin[0], mMin[1], mMax[2])));
408 bbox.expand(map.applyMap(Vec3R(mMin[0], mMax[1], mMin[2])));
409 bbox.expand(map.applyMap(Vec3R(mMax[0], mMin[1], mMin[2])));
410 bbox.expand(map.applyMap(Vec3R(mMax[0], mMax[1], mMin[2])));
411 bbox.expand(map.applyMap(Vec3R(mMax[0], mMin[1], mMax[2])));
412 bbox.expand(map.applyMap(Vec3R(mMin[0], mMax[1], mMax[2])));
413 bbox.expand(map.applyMap(Vec3R(mMax[0], mMax[1], mMax[2])));
414 return bbox;
415 }
416
417 template<typename Vec3T>
418 template<typename MapType>
419 inline BBox<Vec3T>
420 BBox<Vec3T>::applyInverseMap(const MapType& map) const
421 {
422 using Vec3R = Vec3<double>;
423 BBox<Vec3T> bbox;
424 bbox.expand(map.applyInverseMap(Vec3R(mMin[0], mMin[1], mMin[2])));
425 bbox.expand(map.applyInverseMap(Vec3R(mMin[0], mMin[1], mMax[2])));
426 bbox.expand(map.applyInverseMap(Vec3R(mMin[0], mMax[1], mMin[2])));
427 bbox.expand(map.applyInverseMap(Vec3R(mMax[0], mMin[1], mMin[2])));
428 bbox.expand(map.applyInverseMap(Vec3R(mMax[0], mMax[1], mMin[2])));
429 bbox.expand(map.applyInverseMap(Vec3R(mMax[0], mMin[1], mMax[2])));
430 bbox.expand(map.applyInverseMap(Vec3R(mMin[0], mMax[1], mMax[2])));
431 bbox.expand(map.applyInverseMap(Vec3R(mMax[0], mMax[1], mMax[2])));
432 return bbox;
433 }
434
436
437
438 template<typename Vec3T>
439 inline std::ostream&
440 operator<<(std::ostream& os, const BBox<Vec3T>& b)
441 {
442 os << b.min() << " -> " << b.max();
443 return os;
444 }
445
446 } // namespace math
447 } // namespace OPENVDB_VERSION_NAME
448 } // namespace openvdb
449
450 #endif // OPENVDB_MATH_BBOX_HAS_BEEN_INCLUDED
451
452 // Copyright (c) 2012-2018 DreamWorks Animation LLC
453 // All rights reserved. This software is distributed under the
454 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
openvdb::v5_2::math::BBox::write
void write(std::ostream &os) const
Serialize this bounding box to the given stream.
Definition: BBox.h:163
openvdb::v5_2::math::Vec3< double >
Vec3.h
openvdb::v5_2::math::BBox::read
void read(std::istream &is)
Unserialize this bounding box from the given stream.
Definition: BBox.h:161
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v5_2::math::MinIndex
size_t MinIndex(const Vec3T &v)
Return the index [0,1,2] of the smallest value in a 3D vector.
Definition: Math.h:890
openvdb::v5_2::math::BBox
Axis-aligned bounding box.
Definition: BBox.h:50
openvdb::v5_2::math::BBox::min
const Vec3T & min() const
Return a const reference to the minimum point of this bounding box.
Definition: BBox.h:89
openvdb::v5_2::tools::composite::min
const std::enable_if<!VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:129
openvdb::v5_2::math::Tolerance
Tolerance for floating-point comparison.
Definition: Math.h:117
openvdb::v5_2::math::BBox::operator!=
bool operator!=(const BBox &rhs) const
Return true if this bounding box differs from the given bounding box.
Definition: BBox.h:100
openvdb::v5_2::math::Vec3d
Vec3< double > Vec3d
Definition: Vec3.h:679
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h:136
openvdb::v5_2::math::BBox::volume
ElementType volume() const
Return the volume enclosed by this bounding box.
Definition: BBox.h:127
openvdb::v5_2::math::Vec3< double >::ValueType
double ValueType
Definition: Vec3.h:54
openvdb
Definition: Exceptions.h:40
openvdb::v5_2::math::BBox::intersects
bool intersects(const BBox &other) const
Return true if the given bounding box overlaps with this bounding box.
Definition: BBox.h:136
openvdb::v5_2::math::MaxIndex
size_t MaxIndex(const Vec3T &v)
Return the index [0,1,2] of the largest value in a 3D vector.
Definition: Math.h:911
openvdb::v5_2::math::operator==
bool operator==(const Vec3< T0 > &v0, const Vec3< T1 > &v1)
Equality operator, does exact floating point comparisons.
Definition: Vec3.h:488
openvdb::v5_2::math::BBox::maxExtent
size_t maxExtent() const
Return the index (0, 1 or 2) of the longest axis.
Definition: BBox.h:122
openvdb::v5_2::math::BBox::max
const Vec3T & max() const
Return a const reference to the maximum point of this bounding box.
Definition: BBox.h:91
openvdb::v5_2::tools::composite::max
const std::enable_if<!VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:133
openvdb::v5_2::math::BBox::min
Vec3T & min()
Return a non-const reference to the minimum point of this bounding box.
Definition: BBox.h:93
openvdb::v5_2::math::BBox< Vec3d >::ElementType
typename Vec3Type::ValueType ElementType
Definition: BBox.h:56
openvdb::v5_2::math::isApproxEqual
bool isApproxEqual(const Type &a, const Type &b)
Return true if a is equal to b to within the default floating-point comparison tolerance.
Definition: Math.h:358
openvdb::v5_2::math::BBox::max
Vec3T & max()
Return a non-const reference to the maximum point of this bounding box.
Definition: BBox.h:95
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:188
openvdb::v5_2::math::BBox::minExtent
size_t minExtent() const
Return the index (0, 1 or 2) of the shortest axis.
Definition: BBox.h:124
openvdb::v5_2::math::BBox::expand
void expand(ElementType padding)
Pad this bounding box.
Definition: BBox.h:348
openvdb::v5_2::math::BBox::hasVolume
bool hasVolume() const
Return true if this bounding box has (positive) volume.
Definition: BBox.h:105