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Vector11T.hh
1 /* ========================================================================= *
2 * *
3 * OPENVOLUMEMESHMesh *
4 * Copyright (c) 2001-2016, RWTH-Aachen University *
5 * Department of Computer Graphics and Multimedia *
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11 * This file was originally taken from OpenMesh *
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42
43 #ifndef OPENVOLUMEMESH_SRC_OPENVOLUMEMESH_GEOMETRY_VECTOR11T_HH_
44 #define OPENVOLUMEMESH_SRC_OPENVOLUMEMESH_GEOMETRY_VECTOR11T_HH_
45
46 #include <array>
47 #include <utility>
48 #include <algorithm>
49 #include <numeric>
50 #include <type_traits>
51 #include <cmath>
52 #include <ostream>
53 #include <istream>
54 #include <cassert>
55 #include <cstdlib>
56
57 namespace OpenVolumeMesh {
58
59 namespace Geometry {
60
61 /*
62 * Helpers for VectorT
63 */
64 template<typename ... Ts>
65 struct are_convertible_to;
66
67 template<typename To, typename From, typename ... Froms>
68 struct are_convertible_to<To, From, Froms...> {
69 static constexpr bool value = std::is_convertible<From, To>::value
70 && are_convertible_to<To, Froms...>::value;
71 };
72
73 template<typename To, typename From>
74 struct are_convertible_to<To, From> : public std::is_convertible<From, To> {
75 };
76
77 template<typename Scalar, int DIM>
78 class VectorT {
79
80 static_assert(DIM >= 1, "VectorT requires positive dimensionality.");
81
82 private:
83 using container = std::array<Scalar, DIM>;
84 container values_;
85
86 public:
87
88 //---------------------------------------------------------------- class info
89
91 typedef Scalar value_type;
92
94 typedef VectorT<Scalar, DIM> vector_type;
95
97 static constexpr int dim() {
98 return DIM;
99 }
100
102 static constexpr size_t size() {
103 return DIM;
104 }
105
106 static constexpr const size_t size_ = DIM;
107
108 //-------------------------------------------------------------- constructors
109
111 constexpr VectorT() {}
112
116 explicit VectorT(const Scalar &v) {
117 vectorize(v);
118 }
119
120 template<typename ... T,
121 typename = typename std::enable_if<sizeof...(T) == DIM>::type,
122 typename = typename std::enable_if<
123 are_convertible_to<Scalar, T...>::value>::type>
124 constexpr VectorT(T... vs) : values_ { {static_cast<Scalar>(vs)...} } {
125 static_assert(sizeof...(T) == DIM,
126 "Invalid number of components specified in constructor.");
127 static_assert(are_convertible_to<Scalar, T...>::value,
128 "Not all components are convertible to Scalar.");
129 }
130
131 VectorT(const VectorT &rhs) = default;
132 VectorT(VectorT &&rhs) = default;
133 VectorT &operator=(const VectorT &rhs) = default;
134 VectorT &operator=(VectorT &&rhs) = default;
135
140 template<typename S = Scalar, int D = DIM>
141 auto homogenized() const ->
142 typename std::enable_if<D == 4,
143 VectorT<decltype(std::declval<S>()/std::declval<S>()), DIM>>::type {
144 static_assert(D == DIM, "D and DIM need to be identical. (Never "
145 "override the default template arguments.)");
146 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
147 "to be the same type. (Never override the default template "
148 "arguments.)");
149 return VectorT(
150 values_[0]/values_[3],
151 values_[1]/values_[3],
152 values_[2]/values_[3],
153 1);
154 }
155
157 template<typename Iterator,
158 typename = decltype(
159 *std::declval<Iterator&>(), void(),
160 ++std::declval<Iterator&>(), void())>
161 explicit VectorT(Iterator it) {
162 std::copy_n(it, DIM, values_.begin());
163 }
164
166 template<typename otherScalarType,
167 typename = typename std::enable_if<
168 std::is_convertible<otherScalarType, Scalar>::value>>
169 explicit VectorT(const VectorT<otherScalarType, DIM>& _rhs) {
170 operator=(_rhs);
171 }
172
173 //--------------------------------------------------------------------- casts
174
176 template<typename OtherScalar,
177 typename = typename std::enable_if<
178 std::is_convertible<OtherScalar, Scalar>::value>>
179 vector_type& operator=(const VectorT<OtherScalar, DIM>& _rhs) {
180 std::transform(_rhs.data(), _rhs.data() + DIM,
181 data(), [](OtherScalar rhs) {
182 return static_cast<Scalar>(std::move(rhs));
183 });
184 return *this;
185 }
186
188 Scalar* data() { return values_.data(); }
189
191 const Scalar *data() const { return values_.data(); }
192
193 //----------------------------------------------------------- element access
194
196 Scalar& operator[](size_t _i) {
197 assert(_i < DIM);
198 return values_[_i];
199 }
200
202 const Scalar& operator[](size_t _i) const {
203 assert(_i < DIM);
204 return values_[_i];
205 }
206
207 //---------------------------------------------------------------- comparsion
208
210 bool operator==(const vector_type& _rhs) const {
211 return std::equal(_rhs.values_.cbegin(), _rhs.values_.cend(), values_.cbegin());
212 }
213
215 bool operator!=(const vector_type& _rhs) const {
216 return !std::equal(_rhs.values_.cbegin(), _rhs.values_.cend(), values_.cbegin());
217 }
218
219 //---------------------------------------------------------- scalar operators
220
222 template<typename OtherScalar>
223 auto operator*=(const OtherScalar& _s) ->
224 typename std::enable_if<std::is_convertible<
225 decltype(this->values_[0] * _s), Scalar>::value,
226 VectorT<Scalar, DIM>&>::type {
227 for (auto& e : *this) {
228 e *= _s;
229 }
230 return *this;
231 }
232
234 template<typename OtherScalar>
235 auto operator/=(const OtherScalar& _s) ->
236 typename std::enable_if<std::is_convertible<
237 decltype(this->values_[0] / _s), Scalar>::value,
238 VectorT<Scalar, DIM>&>::type {
239 for (auto& e : *this) {
240 e /= _s;
241 }
242 return *this;
243 }
244
246 template<typename OtherScalar>
247 typename std::enable_if<std::is_convertible<
248 decltype(std::declval<Scalar>() * std::declval<OtherScalar>()),
249 Scalar>::value,
250 VectorT<Scalar, DIM>>::type
251 operator*(const OtherScalar& _s) const {
252 return vector_type(*this) *= _s;
253 }
254
256 template<typename OtherScalar>
257 typename std::enable_if<std::is_convertible<
258 decltype(std::declval<Scalar>() / std::declval<OtherScalar>()),
259 Scalar>::value,
260 VectorT<Scalar, DIM>>::type
261 operator/(const OtherScalar& _s) const {
262 return vector_type(*this) /= _s;
263 }
264
265 //---------------------------------------------------------- vector operators
266
268 template<typename OtherScalar>
269 auto operator*=(const VectorT<OtherScalar, DIM>& _rhs) ->
270 typename std::enable_if<
271 sizeof(decltype(this->values_[0] * *_rhs.data())) >= 0,
272 vector_type&>::type {
273 for (int i = 0; i < DIM; ++i) {
274 data()[i] *= _rhs.data()[i];
275 }
276 return *this;
277 }
278
280 template<typename OtherScalar>
281 auto operator/=(const VectorT<OtherScalar, DIM>& _rhs) ->
282 typename std::enable_if<
283 sizeof(decltype(this->values_[0] / *_rhs.data())) >= 0,
284 vector_type&>::type {
285 for (int i = 0; i < DIM; ++i) {
286 data()[i] /= _rhs.data()[i];
287 }
288 return *this;
289 }
290
292 template<typename OtherScalar>
293 auto operator-=(const VectorT<OtherScalar, DIM>& _rhs) ->
294 typename std::enable_if<
295 sizeof(decltype(this->values_[0] - *_rhs.data())) >= 0,
296 vector_type&>::type {
297 for (int i = 0; i < DIM; ++i) {
298 data()[i] -= _rhs.data()[i];
299 }
300 return *this;
301 }
302
304 template<typename OtherScalar>
305 auto operator+=(const VectorT<OtherScalar, DIM>& _rhs) ->
306 typename std::enable_if<
307 sizeof(decltype(this->values_[0] + *_rhs.data())) >= 0,
308 vector_type&>::type {
309 for (int i = 0; i < DIM; ++i) {
310 data()[i] += _rhs.data()[i];
311 }
312 return *this;
313 }
314
316 template<typename OtherScalar>
317 auto operator*(const VectorT<OtherScalar, DIM>& _rhs) const ->
318 typename std::enable_if<
319 sizeof(decltype(this->values_[0] * *_rhs.data())) >= 0,
320 vector_type>::type {
321 return vector_type(*this) *= _rhs;
322 }
323
325 template<typename OtherScalar>
326 auto operator/(const VectorT<OtherScalar, DIM>& _rhs) const ->
327 typename std::enable_if<
328 sizeof(decltype(this->values_[0] / *_rhs.data())) >= 0,
329 vector_type>::type {
330 return vector_type(*this) /= _rhs;
331 }
332
334 template<typename OtherScalar>
335 auto operator+(const VectorT<OtherScalar, DIM>& _rhs) const ->
336 typename std::enable_if<
337 sizeof(decltype(this->values_[0] + *_rhs.data())) >= 0,
338 vector_type>::type {
339 return vector_type(*this) += _rhs;
340 }
341
343 template<typename OtherScalar>
344 auto operator-(const VectorT<OtherScalar, DIM>& _rhs) const ->
345 typename std::enable_if<
346 sizeof(decltype(this->values_[0] - *_rhs.data())) >= 0,
347 vector_type>::type {
348 return vector_type(*this) -= _rhs;
349 }
350
352 vector_type operator-(void) const {
353 vector_type v;
354 std::transform(values_.begin(), values_.end(), v.values_.begin(),
355 [](const Scalar &s) { return -s; });
356 return v;
357 }
358
361 template<typename OtherScalar>
362 auto operator% (const VectorT<OtherScalar, DIM> &_rhs) const ->
363 typename std::enable_if<DIM == 3,
364 VectorT<decltype(this->values_[0] * _rhs[0] -
365 this->values_[0] * _rhs[0]),
366 DIM>>::type {
367 return {
368 values_[1] * _rhs[2] - values_[2] * _rhs[1],
369 values_[2] * _rhs[0] - values_[0] * _rhs[2],
370 values_[0] * _rhs[1] - values_[1] * _rhs[0]
371 };
372 }
373
376 template<typename OtherScalar>
377 auto operator|(const VectorT<OtherScalar, DIM>& _rhs) const ->
378 decltype(*this->data() * *_rhs.data()) {
379
380 return std::inner_product(data() + 1, data() + DIM, _rhs.data() + 1,
381 *data() * *_rhs.data());
382 }
383
384 //------------------------------------------------------------ euclidean norm
385
387
388
390 template<typename S = Scalar>
391 decltype(std::declval<S>() * std::declval<S>()) sqrnorm() const {
392 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
393 "to be the same type. (Never override the default template "
394 "arguments.)");
395 typedef decltype(values_[0] * values_[0]) RESULT;
396 return std::accumulate(values_.cbegin() + 1, values_.cend(),
397 values_[0] * values_[0],
398 [](const RESULT &l, const Scalar &r) { return l + r * r; });
399 }
400
402 template<typename S = Scalar>
403 auto norm() const ->
404 decltype(std::sqrt(std::declval<VectorT<S, DIM>>().sqrnorm())) {
405 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
406 "to be the same type. (Never override the default template "
407 "arguments.)");
408 return std::sqrt(sqrnorm());
409 }
410
411 template<typename S = Scalar>
412 auto length() const ->
413 decltype(std::declval<VectorT<S, DIM>>().norm()) {
414 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
415 "to be the same type. (Never override the default template "
416 "arguments.)");
417 return norm();
418 }
419
422 template<typename S = Scalar>
423 auto normalize() ->
424 decltype(*this /= std::declval<VectorT<S, DIM>>().norm()) {
425 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
426 "to be the same type. (Never override the default template "
427 "arguments.)");
428 return *this /= norm();
429 }
430
433 template<typename S = Scalar>
434 auto normalized() const ->
435 decltype(*this / std::declval<VectorT<S, DIM>>().norm()) {
436 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
437 "to be the same type. (Never override the default template "
438 "arguments.)");
439 return *this / norm();
440 }
441
444 template<typename S = Scalar>
445 typename std::enable_if<
446 sizeof(decltype(
447 static_cast<S>(0),
448 std::declval<VectorT<S, DIM>>().norm())) >= 0,
449 vector_type&>::type
450 normalize_cond() {
451 static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
452 "to be the same type. (Never override the default template "
453 "arguments.)");
454 auto n = norm();
455 if (n != static_cast<decltype(norm())>(0)) {
456 *this /= n;
457 }
458 return *this;
459 }
460
462
463 //------------------------------------------------------------ euclidean norm
464
466
467
469 Scalar l1_norm() const {
470 return std::accumulate(
471 values_.cbegin() + 1, values_.cend(), values_[0]);
472 }
473
475 Scalar l8_norm() const {
476 return max_abs();
477 }
478
480
481 //------------------------------------------------------------ max, min, mean
482
484
485
487 Scalar max() const {
488 return *std::max_element(values_.cbegin(), values_.cend());
489 }
490
492 Scalar max_abs() const {
493 return std::abs(
494 *std::max_element(values_.cbegin(), values_.cend(),
495 [](const Scalar &a, const Scalar &b) {
496 return std::abs(a) < std::abs(b);
497 }));
498 }
499
501 Scalar min() const {
502 return *std::min_element(values_.cbegin(), values_.cend());
503 }
504
506 Scalar min_abs() const {
507 return std::abs(
508 *std::min_element(values_.cbegin(), values_.cend(),
509 [](const Scalar &a, const Scalar &b) {
510 return std::abs(a) < std::abs(b);
511 }));
512 }
513
515 Scalar mean() const {
516 return l1_norm()/DIM;
517 }
518
520 Scalar mean_abs() const {
521 return std::accumulate(values_.cbegin() + 1, values_.cend(),
522 std::abs(values_[0]),
523 [](const Scalar &l, const Scalar &r) {
524 return l + std::abs(r);
525 }) / DIM;
526 }
527
529 vector_type& minimize(const vector_type& _rhs) {
530 std::transform(values_.cbegin(), values_.cend(),
531 _rhs.values_.cbegin(),
532 values_.begin(),
533 [](const Scalar &l, const Scalar &r) {
534 return std::min(l, r);
535 });
536 return *this;
537 }
538
540 bool minimized(const vector_type& _rhs) {
541 bool result = false;
542 std::transform(values_.cbegin(), values_.cend(),
543 _rhs.values_.cbegin(),
544 values_.begin(),
545 [&result](const Scalar &l, const Scalar &r) {
546 if (l < r) {
547 return l;
548 } else {
549 result = true;
550 return r;
551 }
552 });
553 return result;
554 }
555
557 vector_type& maximize(const vector_type& _rhs) {
558 std::transform(values_.cbegin(), values_.cend(),
559 _rhs.values_.cbegin(),
560 values_.begin(),
561 [](const Scalar &l, const Scalar &r) {
562 return std::max(l, r);
563 });
564 return *this;
565 }
566
568 bool maximized(const vector_type& _rhs) {
569 bool result = false;
570 std::transform(values_.cbegin(), values_.cend(),
571 _rhs.values_.cbegin(),
572 values_.begin(),
573 [&result](const Scalar &l, const Scalar &r) {
574 if (l > r) {
575 return l;
576 } else {
577 result = true;
578 return r;
579 }
580 });
581 return result;
582 }
583
585 inline vector_type min(const vector_type& _rhs) const {
586 return vector_type(*this).minimize(_rhs);
587 }
588
590 inline vector_type max(const vector_type& _rhs) const {
591 return vector_type(*this).maximize(_rhs);
592 }
593
595
596 //------------------------------------------------------------ misc functions
597
599 template<typename Functor>
600 inline vector_type apply(const Functor& _func) const {
601 vector_type result;
602 std::transform(result.values_.begin(), result.values_.end(),
603 result.values_.begin(), _func);
604 return result;
605 }
606
608 vector_type& vectorize(const Scalar& _s) {
609 std::fill(values_.begin(), values_.end(), _s);
610 return *this;
611 }
612
614 static vector_type vectorized(const Scalar& _s) {
615 return vector_type().vectorize(_s);
616 }
617
619 bool operator<(const vector_type& _rhs) const {
620 return std::lexicographical_compare(
621 values_.begin(), values_.end(),
622 _rhs.values_.begin(), _rhs.values_.end());
623 }
624
626 void swap(VectorT& _other)
627 noexcept(noexcept(std::swap(values_, _other.values_))) {
628 std::swap(values_, _other.values_);
629 }
630
631 //------------------------------------------------------------ component iterators
632
634
635
636 using iterator = typename container::iterator;
637 using const_iterator = typename container::const_iterator;
638 using reverse_iterator = typename container::reverse_iterator;
639 using const_reverse_iterator = typename container::const_reverse_iterator;
640
641 iterator begin() noexcept { return values_.begin(); }
642 const_iterator begin() const noexcept { return values_.cbegin(); }
643 const_iterator cbegin() const noexcept { return values_.cbegin(); }
644
645 iterator end() noexcept { return values_.end(); }
646 const_iterator end() const noexcept { return values_.cend(); }
647 const_iterator cend() const noexcept { return values_.cend(); }
648
649 reverse_iterator rbegin() noexcept { return values_.rbegin(); }
650 const_reverse_iterator rbegin() const noexcept { return values_.crbegin(); }
651 const_reverse_iterator crbegin() const noexcept { return values_.crbegin(); }
652
653 reverse_iterator rend() noexcept { return values_.rend(); }
654 const_reverse_iterator rend() const noexcept { return values_.crend(); }
655 const_reverse_iterator crend() const noexcept { return values_.crend(); }
656
658 };
659
661 template<typename Scalar, int DIM, typename OtherScalar>
662 auto operator*(const OtherScalar& _s, const VectorT<Scalar, DIM> &rhs) ->
663 decltype(rhs.operator*(_s)) {
664
665 return rhs * _s;
666 }
667
669 template<typename Scalar, int DIM>
670 auto operator<<(std::ostream& os, const VectorT<Scalar, DIM> &_vec) ->
671 typename std::enable_if<
672 sizeof(decltype(os << _vec[0])) >= 0, std::ostream&>::type {
673
674 os << _vec[0];
675 for (int i = 1; i < DIM; ++i) {
676 os << " " << _vec[i];
677 }
678 return os;
679 }
680
682 template<typename Scalar, int DIM>
683 auto operator>> (std::istream& is, VectorT<Scalar, DIM> &_vec) ->
684 typename std::enable_if<
685 sizeof(decltype(is >> _vec[0])) >= 0, std::istream &>::type {
686 for (int i = 0; i < DIM; ++i)
687 is >> _vec[i];
688 return is;
689 }
690
693 template<typename Scalar, int DIM>
694 Scalar dot(const VectorT<Scalar, DIM>& _v1, const VectorT<Scalar, DIM>& _v2) {
695 return (_v1 | _v2);
696 }
697
700 template<typename LScalar, typename RScalar, int DIM>
701 auto
702 cross(const VectorT<LScalar, DIM>& _v1, const VectorT<RScalar, DIM>& _v2) ->
703 decltype(_v1 % _v2) {
704 return (_v1 % _v2);
705 }
706
709 template<typename Scalar, int DIM>
710 void swap(VectorT<Scalar, DIM>& _v1, VectorT<Scalar, DIM>& _v2)
711 noexcept(noexcept(_v1.swap(_v2))) {
712 _v1.swap(_v2);
713 }
714
715 //== TYPEDEFS =================================================================
716
718 typedef VectorT<signed char,1> Vec1c;
720 typedef VectorT<unsigned char,1> Vec1uc;
722 typedef VectorT<signed short int,1> Vec1s;
724 typedef VectorT<unsigned short int,1> Vec1us;
726 typedef VectorT<signed int,1> Vec1i;
728 typedef VectorT<unsigned int,1> Vec1ui;
730 typedef VectorT<float,1> Vec1f;
732 typedef VectorT<double,1> Vec1d;
733
735 typedef VectorT<signed char,2> Vec2c;
737 typedef VectorT<unsigned char,2> Vec2uc;
739 typedef VectorT<signed short int,2> Vec2s;
741 typedef VectorT<unsigned short int,2> Vec2us;
743 typedef VectorT<signed int,2> Vec2i;
745 typedef VectorT<unsigned int,2> Vec2ui;
747 typedef VectorT<float,2> Vec2f;
749 typedef VectorT<double,2> Vec2d;
750
752 typedef VectorT<signed char,3> Vec3c;
754 typedef VectorT<unsigned char,3> Vec3uc;
756 typedef VectorT<signed short int,3> Vec3s;
758 typedef VectorT<unsigned short int,3> Vec3us;
760 typedef VectorT<signed int,3> Vec3i;
762 typedef VectorT<unsigned int,3> Vec3ui;
764 typedef VectorT<float,3> Vec3f;
766 typedef VectorT<double,3> Vec3d;
768 typedef VectorT<bool,3> Vec3b;
769
771 typedef VectorT<signed char,4> Vec4c;
773 typedef VectorT<unsigned char,4> Vec4uc;
775 typedef VectorT<signed short int,4> Vec4s;
777 typedef VectorT<unsigned short int,4> Vec4us;
779 typedef VectorT<signed int,4> Vec4i;
781 typedef VectorT<unsigned int,4> Vec4ui;
783 typedef VectorT<float,4> Vec4f;
785 typedef VectorT<double,4> Vec4d;
786
788 typedef VectorT<signed char, 5> Vec5c;
790 typedef VectorT<unsigned char, 5> Vec5uc;
792 typedef VectorT<signed short int, 5> Vec5s;
794 typedef VectorT<unsigned short int, 5> Vec5us;
796 typedef VectorT<signed int, 5> Vec5i;
798 typedef VectorT<unsigned int, 5> Vec5ui;
800 typedef VectorT<float, 5> Vec5f;
802 typedef VectorT<double, 5> Vec5d;
803
805 typedef VectorT<signed char,6> Vec6c;
807 typedef VectorT<unsigned char,6> Vec6uc;
809 typedef VectorT<signed short int,6> Vec6s;
811 typedef VectorT<unsigned short int,6> Vec6us;
813 typedef VectorT<signed int,6> Vec6i;
815 typedef VectorT<unsigned int,6> Vec6ui;
817 typedef VectorT<float,6> Vec6f;
819 typedef VectorT<double,6> Vec6d;
820
821
822 } // namespace Geometry
823
824 using namespace Geometry;
825
826 template <class T>
827 const std::string typeName();
828
829 template <> const std::string typeName<Vec2f>();
830 template <> const std::string typeName<Vec2d>();
831 template <> const std::string typeName<Vec2i>();
832 template <> const std::string typeName<Vec2ui>();
833
834 template <> const std::string typeName<Vec3f>();
835 template <> const std::string typeName<Vec3d>();
836 template <> const std::string typeName<Vec3i>();
837 template <> const std::string typeName<Vec3ui>();
838
839 template <> const std::string typeName<Vec4f>();
840 template <> const std::string typeName<Vec4d>();
841 template <> const std::string typeName<Vec4i>();
842 template <> const std::string typeName<Vec4ui>();
843
844 } // namespace OpenVolumeMesh
845
846
847 #endif /* OPENVOLUMEMESH_SRC_OPENVOLUMEMESH_GEOMETRY_VECTOR11T_HH_ */
OpenVolumeMesh::Geometry::are_convertible_to
Definition: Vector11T.hh:65
VectorT< signed int, 4 >
typeName
DLLEXPORT QString typeName(DataType _id)
Get the name of a type with given id.
Definition: Types.cc:165
OpenVolumeMesh::Geometry::VectorT
Definition: Vector11T.hh:78
OpenVolumeMesh
Definition: ColorAttrib.hh:53