OpenMesh
Vector11T.hh
1 /* ========================================================================= *
2  * *
3  * OpenMesh *
4  * Copyright (c) 2001-2015, RWTH-Aachen University *
5  * Department of Computer Graphics and Multimedia *
6  * All rights reserved. *
7  * www.openmesh.org *
8  * *
9  *---------------------------------------------------------------------------*
10  * This file is part of OpenMesh. *
11  *---------------------------------------------------------------------------*
12  * *
13  * Redistribution and use in source and binary forms, with or without *
14  * modification, are permitted provided that the following conditions *
15  * are met: *
16  * *
17  * 1. Redistributions of source code must retain the above copyright notice, *
18  * this list of conditions and the following disclaimer. *
19  * *
20  * 2. Redistributions in binary form must reproduce the above copyright *
21  * notice, this list of conditions and the following disclaimer in the *
22  * documentation and/or other materials provided with the distribution. *
23  * *
24  * 3. Neither the name of the copyright holder nor the names of its *
25  * contributors may be used to endorse or promote products derived from *
26  * this software without specific prior written permission. *
27  * *
28  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS *
29  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED *
30  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A *
31  * PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER *
32  * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, *
33  * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, *
34  * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR *
35  * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF *
36  * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING *
37  * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS *
38  * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
39  * *
40  * ========================================================================= */
41 
42 #ifndef OPENMESH_SRC_OPENMESH_CORE_GEOMETRY_VECTOR11T_HH_
43 #define OPENMESH_SRC_OPENMESH_CORE_GEOMETRY_VECTOR11T_HH_
44 
45 #include <array>
46 #include <utility>
47 #include <algorithm>
48 #include <numeric>
49 #include <type_traits>
50 #include <cmath>
51 #include <ostream>
52 #include <istream>
53 #include <cassert>
54 #include <cstdlib>
55 
56 // This header is not needed by this file but expected by others including
57 // this file.
58 #include <OpenMesh/Core/System/config.h>
59 
60 
61 /*
62  * Helpers for VectorT
63  */
64 namespace {
65 
66 template<typename ... Ts>
67 struct are_convertible_to;
68 
69 template<typename To, typename From, typename ... Froms>
70 struct are_convertible_to<To, From, Froms...> {
71  static constexpr bool value = std::is_convertible<From, To>::value
72  && are_convertible_to<To, Froms...>::value;
73 };
74 
75 template<typename To, typename From>
76 struct are_convertible_to<To, From> : public std::is_convertible<From, To> {
77 };
78 }
79 
80 namespace OpenMesh {
81 
82 template<typename Scalar, int DIM>
83 class VectorT {
84 
85  static_assert(DIM >= 1, "VectorT requires positive dimensionality.");
86 
87  private:
88  using container = std::array<Scalar, DIM>;
89  container values_;
90 
91  public:
92 
93  //---------------------------------------------------------------- class info
94 
96  typedef Scalar value_type;
97 
100 
102  static constexpr int dim() {
103  return DIM;
104  }
105 
107  static constexpr size_t size() {
108  return DIM;
109  }
110 
111  static constexpr const size_t size_ = DIM;
112 
113  //-------------------------------------------------------------- constructors
114 
115  // Converting constructor: Constructs the vector from DIM values (of
116  // potentially heterogenous types) which are all convertible to Scalar.
117  template<typename T, typename ... Ts,
118  typename = typename std::enable_if<sizeof...(Ts)+1 == DIM>::type,
119  typename = typename std::enable_if<
120  are_convertible_to<Scalar, T, Ts...>::value>::type>
121  constexpr VectorT(T v, Ts... vs) : values_ { {static_cast<Scalar>(v), static_cast<Scalar>(vs)...} } {
122  static_assert(sizeof...(Ts)+1 == DIM,
123  "Invalid number of components specified in constructor.");
124  static_assert(are_convertible_to<Scalar, T, Ts...>::value,
125  "Not all components are convertible to Scalar.");
126  }
127 
129  constexpr VectorT() {}
130 
134  explicit VectorT(const Scalar &v) {
135  vectorize(v);
136  }
137 
138  VectorT(const VectorT &rhs) = default;
139  VectorT(VectorT &&rhs) = default;
140  VectorT &operator=(const VectorT &rhs) = default;
141  VectorT &operator=(VectorT &&rhs) = default;
142 
147  template<typename S = Scalar, int D = DIM>
148  auto homogenized() const ->
149  typename std::enable_if<D == 4,
150  VectorT<decltype(std::declval<S>()/std::declval<S>()), DIM>>::type {
151  static_assert(D == DIM, "D and DIM need to be identical. (Never "
152  "override the default template arguments.)");
153  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
154  "to be the same type. (Never override the default template "
155  "arguments.)");
156  return VectorT(
157  values_[0]/values_[3],
158  values_[1]/values_[3],
159  values_[2]/values_[3],
160  1);
161  }
162 
164  template<typename Iterator,
165  typename = decltype(
166  *std::declval<Iterator&>(), void(),
167  ++std::declval<Iterator&>(), void())>
168  explicit VectorT(Iterator it) {
169  std::copy_n(it, DIM, values_.begin());
170  }
171 
173  template<typename otherScalarType,
174  typename = typename std::enable_if<
175  std::is_convertible<otherScalarType, Scalar>::value>>
176  explicit VectorT(const VectorT<otherScalarType, DIM>& _rhs) {
177  operator=(_rhs);
178  }
179 
180  //--------------------------------------------------------------------- casts
181 
183  template<typename OtherScalar,
184  typename = typename std::enable_if<
185  std::is_convertible<OtherScalar, Scalar>::value>>
186  vector_type& operator=(const VectorT<OtherScalar, DIM>& _rhs) {
187  std::transform(_rhs.cbegin(), _rhs.cend(),
188  this->begin(), [](OtherScalar rhs) {
189  return static_cast<Scalar>(std::move(rhs));
190  });
191  return *this;
192  }
193 
195  Scalar* data() { return values_.data(); }
196 
198  const Scalar* data() const { return values_.data(); }
199 
200  //----------------------------------------------------------- element access
201 
203  Scalar& operator[](size_t _i) {
204  assert(_i < DIM);
205  return values_[_i];
206  }
207 
209  const Scalar& operator[](size_t _i) const {
210  assert(_i < DIM);
211  return values_[_i];
212  }
213 
214  //---------------------------------------------------------------- comparsion
215 
217  bool operator==(const vector_type& _rhs) const {
218  return std::equal(_rhs.values_.cbegin(), _rhs.values_.cend(), values_.cbegin());
219  }
220 
222  bool operator!=(const vector_type& _rhs) const {
223  return !std::equal(_rhs.values_.cbegin(), _rhs.values_.cend(), values_.cbegin());
224  }
225 
226  //---------------------------------------------------------- scalar operators
227 
229  template<typename OtherScalar>
230  auto operator*=(const OtherScalar& _s) ->
231  typename std::enable_if<std::is_convertible<
232  decltype(this->values_[0] * _s), Scalar>::value,
233  VectorT<Scalar, DIM>&>::type {
234  for (auto& e : *this) {
235  e *= _s;
236  }
237  return *this;
238  }
239 
241  template<typename OtherScalar>
242  auto operator/=(const OtherScalar& _s) ->
243  typename std::enable_if<std::is_convertible<
244  decltype(this->values_[0] / _s), Scalar>::value,
245  VectorT<Scalar, DIM>&>::type {
246  for (auto& e : *this) {
247  e /= _s;
248  }
249  return *this;
250  }
251 
253  template<typename OtherScalar>
254  typename std::enable_if<std::is_convertible<
255  decltype(std::declval<Scalar>() * std::declval<OtherScalar>()),
256  Scalar>::value,
257  VectorT<Scalar, DIM>>::type
258  operator*(const OtherScalar& _s) const {
259  return vector_type(*this) *= _s;
260  }
261 
263  template<typename OtherScalar>
264  typename std::enable_if<std::is_convertible<
265  decltype(std::declval<Scalar>() / std::declval<OtherScalar>()),
266  Scalar>::value,
267  VectorT<Scalar, DIM>>::type
268  operator/(const OtherScalar& _s) const {
269  return vector_type(*this) /= _s;
270  }
271 
272  //---------------------------------------------------------- vector operators
273 
275  template<typename OtherScalar>
276  auto operator*=(const VectorT<OtherScalar, DIM>& _rhs) ->
277  typename std::enable_if<
278  sizeof(decltype(this->values_[0] * *_rhs.data())) >= 0,
279  vector_type&>::type {
280  for (int i = 0; i < DIM; ++i) {
281  data()[i] *= _rhs.data()[i];
282  }
283  return *this;
284  }
285 
287  template<typename OtherScalar>
288  auto operator/=(const VectorT<OtherScalar, DIM>& _rhs) ->
289  typename std::enable_if<
290  sizeof(decltype(this->values_[0] / *_rhs.data())) >= 0,
291  vector_type&>::type {
292  for (int i = 0; i < DIM; ++i) {
293  data()[i] /= _rhs.data()[i];
294  }
295  return *this;
296  }
297 
299  template<typename OtherScalar>
300  auto operator-=(const VectorT<OtherScalar, DIM>& _rhs) ->
301  typename std::enable_if<
302  sizeof(decltype(this->values_[0] - *_rhs.data())) >= 0,
303  vector_type&>::type {
304  for (int i = 0; i < DIM; ++i) {
305  data()[i] -= _rhs.data()[i];
306  }
307  return *this;
308  }
309 
311  template<typename OtherScalar>
312  auto operator+=(const VectorT<OtherScalar, DIM>& _rhs) ->
313  typename std::enable_if<
314  sizeof(decltype(this->values_[0] + *_rhs.data())) >= 0,
315  vector_type&>::type {
316  for (int i = 0; i < DIM; ++i) {
317  data()[i] += _rhs.data()[i];
318  }
319  return *this;
320  }
321 
323  template<typename OtherScalar>
324  auto operator*(const VectorT<OtherScalar, DIM>& _rhs) const ->
325  typename std::enable_if<
326  sizeof(decltype(this->values_[0] * *_rhs.data())) >= 0,
327  vector_type>::type {
328  return vector_type(*this) *= _rhs;
329  }
330 
332  template<typename OtherScalar>
333  auto operator/(const VectorT<OtherScalar, DIM>& _rhs) const ->
334  typename std::enable_if<
335  sizeof(decltype(this->values_[0] / *_rhs.data())) >= 0,
336  vector_type>::type {
337  return vector_type(*this) /= _rhs;
338  }
339 
341  template<typename OtherScalar>
342  auto operator+(const VectorT<OtherScalar, DIM>& _rhs) const ->
343  typename std::enable_if<
344  sizeof(decltype(this->values_[0] + *_rhs.data())) >= 0,
345  vector_type>::type {
346  return vector_type(*this) += _rhs;
347  }
348 
350  template<typename OtherScalar>
351  auto operator-(const VectorT<OtherScalar, DIM>& _rhs) const ->
352  typename std::enable_if<
353  sizeof(decltype(this->values_[0] - *_rhs.data())) >= 0,
354  vector_type>::type {
355  return vector_type(*this) -= _rhs;
356  }
357 
359  vector_type operator-(void) const {
360  vector_type v;
361  std::transform(values_.begin(), values_.end(), v.values_.begin(),
362  [](const Scalar &s) { return -s; });
363  return v;
364  }
365 
368  template<typename OtherScalar>
369  auto operator% (const VectorT<OtherScalar, DIM> &_rhs) const ->
370  typename std::enable_if<DIM == 3,
371  VectorT<decltype((*this)[0] * _rhs[0] -
372  (*this)[0] * _rhs[0]), DIM>>::type {
373  return {
374  values_[1] * _rhs[2] - values_[2] * _rhs[1],
375  values_[2] * _rhs[0] - values_[0] * _rhs[2],
376  values_[0] * _rhs[1] - values_[1] * _rhs[0]
377  };
378  }
379 
382  template<typename OtherScalar>
383  auto operator|(const VectorT<OtherScalar, DIM>& _rhs) const ->
384  decltype(*this->data() * *_rhs.data()) {
385 
386  return std::inner_product(begin() + 1, begin() + DIM, _rhs.begin() + 1,
387  *begin() * *_rhs.begin());
388  }
389 
390  //------------------------------------------------------------ euclidean norm
391 
393 
394 
396  template<typename S = Scalar>
397  decltype(std::declval<S>() * std::declval<S>()) sqrnorm() const {
398  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
399  "to be the same type. (Never override the default template "
400  "arguments.)");
401  typedef decltype(values_[0] * values_[0]) RESULT;
402  return std::accumulate(values_.cbegin() + 1, values_.cend(),
403  values_[0] * values_[0],
404  [](const RESULT &l, const Scalar &r) { return l + r * r; });
405  }
406 
408  template<typename S = Scalar>
409  auto norm() const ->
410  decltype(std::sqrt(std::declval<VectorT<S, DIM>>().sqrnorm())) {
411  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
412  "to be the same type. (Never override the default template "
413  "arguments.)");
414  return std::sqrt(sqrnorm());
415  }
416 
417  template<typename S = Scalar>
418  auto length() const ->
419  decltype(std::declval<VectorT<S, DIM>>().norm()) {
420  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
421  "to be the same type. (Never override the default template "
422  "arguments.)");
423  return norm();
424  }
425 
428  template<typename S = Scalar>
429  auto normalize() ->
430  decltype(*this /= std::declval<VectorT<S, DIM>>().norm()) {
431  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
432  "to be the same type. (Never override the default template "
433  "arguments.)");
434  return *this /= norm();
435  }
436 
439  template<typename S = Scalar>
440  auto normalized() const ->
441  decltype(*this / std::declval<VectorT<S, DIM>>().norm()) {
442  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
443  "to be the same type. (Never override the default template "
444  "arguments.)");
445  return *this / norm();
446  }
447 
450  template<typename S = Scalar>
451  typename std::enable_if<
452  sizeof(decltype(
453  static_cast<S>(0),
454  std::declval<VectorT<S, DIM>>().norm())) >= 0,
455  vector_type&>::type
457  static_assert(std::is_same<S, Scalar>::value, "S and Scalar need "
458  "to be the same type. (Never override the default template "
459  "arguments.)");
460  auto n = norm();
461  if (n != static_cast<decltype(norm())>(0)) {
462  *this /= n;
463  }
464  return *this;
465  }
466 
468 
469  //------------------------------------------------------------ euclidean norm
470 
472 
473 
475  Scalar l1_norm() const {
476  return std::accumulate(
477  values_.cbegin() + 1, values_.cend(), values_[0]);
478  }
479 
481  Scalar l8_norm() const {
482  return max_abs();
483  }
484 
486 
487  //------------------------------------------------------------ max, min, mean
488 
490 
491 
493  Scalar max() const {
494  return *std::max_element(values_.cbegin(), values_.cend());
495  }
496 
498  Scalar max_abs() const {
499  return std::abs(
500  *std::max_element(values_.cbegin(), values_.cend(),
501  [](const Scalar &a, const Scalar &b) {
502  return std::abs(a) < std::abs(b);
503  }));
504  }
505 
507  Scalar min() const {
508  return *std::min_element(values_.cbegin(), values_.cend());
509  }
510 
512  Scalar min_abs() const {
513  return std::abs(
514  *std::min_element(values_.cbegin(), values_.cend(),
515  [](const Scalar &a, const Scalar &b) {
516  return std::abs(a) < std::abs(b);
517  }));
518  }
519 
521  Scalar mean() const {
522  return l1_norm()/DIM;
523  }
524 
526  Scalar mean_abs() const {
527  return std::accumulate(values_.cbegin() + 1, values_.cend(),
528  std::abs(values_[0]),
529  [](const Scalar &l, const Scalar &r) {
530  return l + std::abs(r);
531  }) / DIM;
532  }
533 
535  vector_type& minimize(const vector_type& _rhs) {
536  std::transform(values_.cbegin(), values_.cend(),
537  _rhs.values_.cbegin(),
538  values_.begin(),
539  [](const Scalar &l, const Scalar &r) {
540  return std::min(l, r);
541  });
542  return *this;
543  }
544 
546  bool minimized(const vector_type& _rhs) {
547  bool result = false;
548  std::transform(values_.cbegin(), values_.cend(),
549  _rhs.values_.cbegin(),
550  values_.begin(),
551  [&result](const Scalar &l, const Scalar &r) {
552  if (l < r) {
553  return l;
554  } else {
555  result = true;
556  return r;
557  }
558  });
559  return result;
560  }
561 
563  vector_type& maximize(const vector_type& _rhs) {
564  std::transform(values_.cbegin(), values_.cend(),
565  _rhs.values_.cbegin(),
566  values_.begin(),
567  [](const Scalar &l, const Scalar &r) {
568  return std::max(l, r);
569  });
570  return *this;
571  }
572 
574  bool maximized(const vector_type& _rhs) {
575  bool result = false;
576  std::transform(values_.cbegin(), values_.cend(),
577  _rhs.values_.cbegin(),
578  values_.begin(),
579  [&result](const Scalar &l, const Scalar &r) {
580  if (l > r) {
581  return l;
582  } else {
583  result = true;
584  return r;
585  }
586  });
587  return result;
588  }
589 
591  inline vector_type min(const vector_type& _rhs) const {
592  return vector_type(*this).minimize(_rhs);
593  }
594 
596  inline vector_type max(const vector_type& _rhs) const {
597  return vector_type(*this).maximize(_rhs);
598  }
599 
601 
602  //------------------------------------------------------------ misc functions
603 
605  template<typename Functor>
606  inline vector_type apply(const Functor& _func) const {
607  vector_type result;
608  std::transform(result.values_.cbegin(), result.values_.cend(),
609  result.values_.begin(), _func);
610  return result;
611  }
612 
614  vector_type& vectorize(const Scalar& _s) {
615  std::fill(values_.begin(), values_.end(), _s);
616  return *this;
617  }
618 
620  static vector_type vectorized(const Scalar& _s) {
621  return vector_type().vectorize(_s);
622  }
623 
625  bool operator<(const vector_type& _rhs) const {
626  return std::lexicographical_compare(
627  values_.begin(), values_.end(),
628  _rhs.values_.begin(), _rhs.values_.end());
629  }
630 
632  void swap(VectorT& _other)
633  noexcept(noexcept(std::swap(values_, _other.values_))) {
634  std::swap(values_, _other.values_);
635  }
636 
637  //------------------------------------------------------------ component iterators
638 
640 
641 
642  using iterator = typename container::iterator;
643  using const_iterator = typename container::const_iterator;
644  using reverse_iterator = typename container::reverse_iterator;
645  using const_reverse_iterator = typename container::const_reverse_iterator;
646 
647  iterator begin() noexcept { return values_.begin(); }
648  const_iterator begin() const noexcept { return values_.cbegin(); }
649  const_iterator cbegin() const noexcept { return values_.cbegin(); }
650 
651  iterator end() noexcept { return values_.end(); }
652  const_iterator end() const noexcept { return values_.cend(); }
653  const_iterator cend() const noexcept { return values_.cend(); }
654 
655  reverse_iterator rbegin() noexcept { return values_.rbegin(); }
656  const_reverse_iterator rbegin() const noexcept { return values_.crbegin(); }
657  const_reverse_iterator crbegin() const noexcept { return values_.crbegin(); }
658 
659  reverse_iterator rend() noexcept { return values_.rend(); }
660  const_reverse_iterator rend() const noexcept { return values_.crend(); }
661  const_reverse_iterator crend() const noexcept { return values_.crend(); }
662 
664 };
665 
667 template<typename Scalar, int DIM, typename OtherScalar>
668 auto operator*(const OtherScalar& _s, const VectorT<Scalar, DIM> &rhs) ->
669  decltype(rhs.operator*(_s)) {
670 
671  return rhs * _s;
672 }
673 
675 template<typename Scalar, int DIM>
676 auto operator<<(std::ostream& os, const VectorT<Scalar, DIM> &_vec) ->
677  typename std::enable_if<
678  sizeof(decltype(os << _vec[0])) >= 0, std::ostream&>::type {
679 
680  os << _vec[0];
681  for (int i = 1; i < DIM; ++i) {
682  os << " " << _vec[i];
683  }
684  return os;
685 }
686 
688 template<typename Scalar, int DIM>
689 auto operator>> (std::istream& is, VectorT<Scalar, DIM> &_vec) ->
690  typename std::enable_if<
691  sizeof(decltype(is >> _vec[0])) >= 0, std::istream &>::type {
692  for (int i = 0; i < DIM; ++i)
693  is >> _vec[i];
694  return is;
695 }
696 
699 template<typename Scalar, int DIM>
700 Scalar dot(const VectorT<Scalar, DIM>& _v1, const VectorT<Scalar, DIM>& _v2) {
701  return (_v1 | _v2);
702 }
703 
706 template<typename LScalar, typename RScalar, int DIM>
707 auto
709  decltype(_v1 % _v2) {
710  return (_v1 % _v2);
711 }
712 
715 template<typename Scalar, int DIM>
717 noexcept(noexcept(_v1.swap(_v2))) {
718  _v1.swap(_v2);
719 }
720 
723 template<typename Scalar, int DIM>
724 Scalar norm(const VectorT<Scalar, DIM>& _v) {
725  return _v.norm();
726 }
727 
730 template<typename Scalar, int DIM>
731 Scalar sqrnorm(const VectorT<Scalar, DIM>& _v) {
732  return _v.sqrnorm();
733 }
736 template<typename Scalar, int DIM, typename OtherScalar>
737 VectorT<Scalar, DIM>& vectorize(VectorT<Scalar, DIM>& _v, OtherScalar const& _val) {
738  return _v.vectorize(_val);
739 }
740 
743 template<typename Scalar, int DIM>
745  return _v.normalize();
746 }
747 
750 template<typename Scalar, int DIM>
752  return _v1.maximize(_v2);
753 }
754 
757 template<typename Scalar, int DIM>
759  return _v1.minimize(_v2);
760 }
761 
762 //== TYPEDEFS =================================================================
763 
780 
797 
816 
833 
850 
867 
868 } // namespace OpenMesh
869 
878 constexpr OpenMesh::Vec4f operator"" _htmlColor(unsigned long long raw_color) {
879  return OpenMesh::Vec4f(
880  ((raw_color >> 24) & 0xFF) / 255.0f,
881  ((raw_color >> 16) & 0xFF) / 255.0f,
882  ((raw_color >> 8) & 0xFF) / 255.0f,
883  ((raw_color >> 0) & 0xFF) / 255.0f);
884 }
885 
886 #endif /* OPENMESH_SRC_OPENMESH_CORE_GEOMETRY_VECTOR11T_HH_ */
Definition: Vector11T.hh:83
bool maximized(const vector_type &_rhs)
maximize values and signalize coordinate maximization
Definition: Vector11T.hh:574
VectorT(Iterator it)
construct from a value array or any other iterator
Definition: Vector11T.hh:168
Scalar max() const
return the maximal component
Definition: Vector11T.hh:493
auto cross(const VectorT< LScalar, DIM > &_v1, const VectorT< RScalar, DIM > &_v2) -> decltype(_v1 % _v2)
Definition: Vector11T.hh:708
vector_type min(const vector_type &_rhs) const
component-wise min
Definition: Vector11T.hh:591
auto norm() const -> decltype(std::sqrt(std::declval< VectorT< S, DIM >>().sqrnorm()))
compute euclidean norm
Definition: Vector11T.hh:409
const Scalar & operator[](size_t _i) const
get i&#39;th element read-only
Definition: Vector11T.hh:209
std::enable_if< std::is_convertible< decltype(std::declval< Scalar >)/std::declval< OtherScalar >)), Scalar >::value, VectorT< Scalar, DIM > >::type operator/(const OtherScalar &_s) const
component-wise division by with scalar
Definition: Vector11T.hh:268
VectorT(const Scalar &v)
Creates a vector with all components set to v.
Definition: Vector11T.hh:134
auto operator*(const OtherScalar &_s, const VectorT< Scalar, DIM > &rhs) -> decltype(rhs.operator*(_s))
Component wise multiplication from the left.
Definition: Vector11T.hh:668
void swap(VectorT &_other) noexcept(noexcept(std::swap(values_, _other.values_)))
swap with another vector
Definition: Vector11T.hh:632
Scalar mean_abs() const
return absolute arithmetic mean
Definition: Vector11T.hh:526
const Scalar * data() const
access to const Scalar array
Definition: Vector11T.hh:198
static constexpr int dim()
returns dimension of the vector (deprecated)
Definition: Vector11T.hh:102
auto normalized() const -> decltype(*this/std::declval< VectorT< S, DIM >>().norm())
return normalized vector
Definition: Vector11T.hh:440
Scalar & operator[](size_t _i)
get i&#39;th element read-write
Definition: Vector11T.hh:203
auto length() const -> decltype(std::declval< VectorT< S, DIM >>().norm())
compute squared euclidean norm
Definition: Vector11T.hh:418
auto operator*=(const OtherScalar &_s) -> typename std::enable_if< std::is_convertible< decltype(this->values_[0] *_s), Scalar >::value, VectorT< Scalar, DIM > &>::type
component-wise self-multiplication with scalar
Definition: Vector11T.hh:230
Scalar max_abs() const
return the maximal absolute component
Definition: Vector11T.hh:498
vector_type apply(const Functor &_func) const
component-wise apply function object with Scalar operator()(Scalar).
Definition: Vector11T.hh:606
Scalar min_abs() const
return the minimal absolute component
Definition: Vector11T.hh:512
Scalar l1_norm() const
compute L1 (Manhattan) norm
Definition: Vector11T.hh:475
auto operator|(const VectorT< OtherScalar, DIM > &_rhs) const -> decltype(*this->data() **_rhs.data())
compute scalar product
Definition: Vector11T.hh:383
void swap(VectorT< Scalar, DIM > &_v1, VectorT< Scalar, DIM > &_v2) noexcept(noexcept(_v1.swap(_v2)))
Definition: Vector11T.hh:716
Scalar sqrnorm(const VectorT< Scalar, DIM > &_v)
Definition: Vector11T.hh:731
VectorT< Scalar, DIM > & maximize(VectorT< Scalar, DIM > &_v1, VectorT< Scalar, DIM > &_v2)
Definition: Vector11T.hh:751
static vector_type vectorized(const Scalar &_s)
store the same value in each component
Definition: Vector11T.hh:620
bool operator!=(const vector_type &_rhs) const
component-wise comparison
Definition: Vector11T.hh:222
vector_type &::type normalize_cond()
compute squared euclidean norm
Definition: Vector11T.hh:456
STL namespace.
Scalar min() const
return the minimal component
Definition: Vector11T.hh:507
VectorT< Scalar, DIM > & minimize(VectorT< Scalar, DIM > &_v1, VectorT< Scalar, DIM > &_v2)
Definition: Vector11T.hh:758
vector_type operator-(void) const
unary minus
Definition: Vector11T.hh:359
std::enable_if< std::is_convertible< decltype(std::declval< Scalar >) *std::declval< OtherScalar >)), Scalar >::value, VectorT< Scalar, DIM > >::type operator*(const OtherScalar &_s) const
component-wise multiplication with scalar
Definition: Vector11T.hh:258
Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...
Definition: MeshItems.hh:59
VectorT< Scalar, DIM > & normalize(VectorT< Scalar, DIM > &_v)
Definition: Vector11T.hh:744
VectorT< Scalar, DIM > & vectorize(VectorT< Scalar, DIM > &_v, OtherScalar const &_val)
Definition: Vector11T.hh:737
vector_type & vectorize(const Scalar &_s)
store the same value in each component (e.g. to clear all entries)
Definition: Vector11T.hh:614
Scalar norm(const VectorT< Scalar, DIM > &_v)
Definition: Vector11T.hh:724
bool operator==(const vector_type &_rhs) const
component-wise comparison
Definition: Vector11T.hh:217
static constexpr size_t size()
returns dimension of the vector
Definition: Vector11T.hh:107
vector_type & operator=(const VectorT< OtherScalar, DIM > &_rhs)
cast from vector with a different scalar type
Definition: Vector11T.hh:186
auto normalize() -> decltype(*this/=std::declval< VectorT< S, DIM >>().norm())
normalize vector, return normalized vector
Definition: Vector11T.hh:429
constexpr VectorT()
default constructor creates uninitialized values.
Definition: Vector11T.hh:129
auto homogenized() const -> typename std::enable_if< D==4, VectorT< decltype(std::declval< S >()/std::declval< S >()), DIM >>::type
Only for 4-component vectors with division operator on their Scalar: Dehomogenization.
Definition: Vector11T.hh:148
vector_type & minimize(const vector_type &_rhs)
minimize values: same as *this = min(*this, _rhs), but faster
Definition: Vector11T.hh:535
Scalar value_type
the type of the scalar used in this template
Definition: Vector11T.hh:96
Scalar mean() const
return arithmetic mean
Definition: Vector11T.hh:521
VectorT(const VectorT< otherScalarType, DIM > &_rhs)
copy & cast constructor (explicit)
Definition: Vector11T.hh:176
Scalar l8_norm() const
compute l8_norm
Definition: Vector11T.hh:481
bool operator<(const vector_type &_rhs) const
lexicographical comparison
Definition: Vector11T.hh:625
decltype(std::declval< S >() *std::declval< S >()) sqrnorm() const
compute squared euclidean norm
Definition: Vector11T.hh:397
bool minimized(const vector_type &_rhs)
minimize values and signalize coordinate minimization
Definition: Vector11T.hh:546
Scalar * data()
access to Scalar array
Definition: Vector11T.hh:195
auto operator/=(const OtherScalar &_s) -> typename std::enable_if< std::is_convertible< decltype(this->values_[0]/_s), Scalar >::value, VectorT< Scalar, DIM > &>::type
component-wise self-division by scalar
Definition: Vector11T.hh:242
VectorT< float, 4 > Vec4f
4-float vector
Definition: Vector11T.hh:830
vector_type & maximize(const vector_type &_rhs)
maximize values: same as *this = max(*this, _rhs), but faster
Definition: Vector11T.hh:563
Scalar dot(const VectorT< Scalar, DIM > &_v1, const VectorT< Scalar, DIM > &_v2)
Definition: Vector11T.hh:700
vector_type max(const vector_type &_rhs) const
component-wise max
Definition: Vector11T.hh:596
VectorT< Scalar, DIM > vector_type
type of this vector
Definition: Vector11T.hh:99

Project OpenMesh, ©  Computer Graphics Group, RWTH Aachen. Documentation generated using doxygen .