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GetFEM: src/getfem/getfem_mesh_slicers.h Source File
GetFEM  5.4.2
getfem_mesh_slicers.h
Go to the documentation of this file.
1 /* -*- c++ -*- (enables emacs c++ mode) */
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4  Copyright (C) 2004-2020 Julien Pommier
5 
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30 ===========================================================================*/
31 
32 /**@file getfem_mesh_slicers.h
33  @author Julien Pommier <Julien.Pommier@insa-toulouse.fr>
34  @date February 2004.
35  @brief Define various mesh slicers.
36 
37  Mesh slices are analogous to a refined P1-discontinuous mesh_fem, a
38  list of nodes/simplexes on which the interpolation is very fast.
39 
40  A slice is built from a mesh, by applying some slicing operations
41  (cut the mesh with a plane, intersect with a sphere, take the
42  boundary faces, etc..).
43 
44  They are used for post-treatment (exportation of results to VTK or OpenDX,
45  etc.)
46 */
47 
48 #ifndef GETFEM_MESH_SLICERS_H
49 #define GETFEM_MESH_SLICERS_H
50 
51 #include <bitset>
52 #include <memory>
53 #include "gmm/gmm_kernel.h"
54 #include "getfem_mesh_fem.h"
55 #include "bgeot_rtree.h"
56 
57 namespace getfem {
58  /** @internal @brief node data in a slice.
59 
60  Contains both real position, and position in the reference
61  convex
62  */
63  struct slice_node {
64  typedef std::bitset<32> faces_ct; /** broken for convexes with more
65  * than 32 faces. */
66  base_node pt, pt_ref;
67  faces_ct faces;
68  slice_node() {}
69  slice_node(const base_node& pt_, const base_node& pt_ref_)
70  : pt(pt_), pt_ref(pt_ref_) {}
71  void swap(slice_node &other) {
72  std::swap(faces,other.faces); pt.swap(other.pt);
73  pt_ref.swap(other.pt_ref);
74  }
75  };
76 
77 
78  /** @internal @brief simplex data in a slice.
79 
80  Just a list of slice_node ids.
81  */
82  struct slice_simplex {
83  std::vector<size_type> inodes;
84  size_type dim() const { return inodes.size()-1; }
85  slice_simplex(size_type n) : inodes(n) {}
86  slice_simplex() : inodes(4) {}
87  bool operator==(const slice_simplex& o) const
88  { return inodes == o.inodes; }
89  bool operator!=(const slice_simplex& o) const
90  { return inodes != o.inodes; }
91  };
92 
93  class slicer_action;
94  class stored_mesh_slice;
95  class mesh_level_set;
96 
97  /** @brief Apply a serie a slicing operations to a mesh.
98 
99  No output is produced by this object, the real output obtained
100  with the side-effect of certain getfem::mesh_slicer objects
101  (such as getfem::slicer_build_stored_mesh_slice).
102  */
103  class mesh_slicer {
104  std::deque<slicer_action*> action; /* pointed actions are not deleted */
105  public:
106  typedef std::vector<slice_node> cs_nodes_ct;
107  typedef std::vector<slice_simplex> cs_simplexes_ct;
108  const mesh& m;
109  const mesh_level_set *mls; // optional
110  size_type cv;
111  short_type face, cv_nbfaces;
112  dim_type cv_dim;
114  /* list of nodes and simplexes for the current convex
115  (including those who are outside of the slice) */
116  cs_nodes_ct nodes;
117  cs_simplexes_ct simplexes;
118  /* indexes of used simplexes and nodes,
119  and index of simplexes who are considered to be in
120  the slice */
121  dal::bit_vector simplex_index, nodes_index, splx_in;
122  size_type fcnt;
123  bgeot::pconvex_ref cvr, prev_cvr;
124  bool discont; // true when mls->is_convex_cut(cv) == true
125 
126  mesh tmp_mesh; // used only when mls != 0
127  bgeot::mesh_structure tmp_mesh_struct; // used only when mls != 0
128  // for faces structure.
129 
130  void pack(); /* not used, indeed */
131  void update_nodes_index();
132  /** mesh_slicer constructor. Use mesh_slicer::exec to build the slice.
133  @param m_ the mesh that is going to be sliced.
134  */
135  mesh_slicer(const mesh& m_);
136  mesh_slicer(const mesh_level_set &mls_);
137  void using_mesh_level_set(const mesh_level_set &mls_);
138  void push_back_action(slicer_action &a) { action.push_back(&a); }
139  void push_front_action(slicer_action &a) { action.push_front(&a); }
140 
141  size_type add_simplex(const slice_simplex& s, bool isin) {
142  size_type i = simplexes.size();
143  simplexes.push_back(s); splx_in[i] = isin; simplex_index.add(i);
144  return i;
145  }
146  void sup_simplex(size_type i) {
147  splx_in.sup(i); simplex_index.sup(i);
148  }
149  size_type dim() {
150  if (nodes.size()) return nodes[0].pt.size();
151  else GMM_ASSERT1(false, "internal_error");
152  }
153  void simplex_orientation(slice_simplex& s);
154  /**@brief build a new mesh_slice.
155  @param nrefine number of refinments for each convex of the original
156  mesh (size_type or a vector indexed by the convex number)
157  @param cvlst the list of convex numbers (or convex faces) of m that
158  will be taken into account for the slice
159  */
160  void exec(size_type nrefine, const mesh_region& cvlst);
161  void exec(const std::vector<short_type> &nrefine,const mesh_region& cvlst);
162  void exec(size_type nrefine = 1);
163  /**
164  @brief build a new mesh slice.
165  @param sms an initial stored_mesh_slice
166  */
167  void exec(const stored_mesh_slice& sms);
168  /**
169  @brief build a new mesh_slice than can be used to interpolate a field
170  on a fixed set of points.
171  @param pts the list of points
172  */
173  void exec(const std::vector<base_node>& pts);
174  private:
175  void exec_(const short_type *pnrefine,
176  int nref_stride,
177  const mesh_region& cvlst);
178  const mesh& refined_simplex_mesh_for_convex_cut_by_level_set
179  (const mesh &cvm, unsigned nrefine);
180  const bgeot::mesh_structure &
181  refined_simplex_mesh_for_convex_faces_cut_by_level_set(short_type f);
182 
183  void update_cv_data(size_type cv_, short_type f_ = short_type(-1));
184  void init_indexes();
185  void apply_slicers();
186  };
187 
188 
189  /* stupid class in order to use any vector type for field data associated
190  to mesh_fems in slices (used for slice deformation and isovalues) */
191  class mesh_slice_cv_dof_data_base {
192  public:
193  const mesh_fem *pmf;
194  virtual void copy(size_type cv, base_vector& coeff) const = 0;
195  virtual scalar_type maxval() const = 0;
196  virtual ~mesh_slice_cv_dof_data_base() {}
197  virtual std::unique_ptr<mesh_slice_cv_dof_data_base> clone() const = 0;
198  };
199 
200  /**
201  Use this structure to specify that the mesh must be deformed before
202  the slicing operation (with a mesh_fem and an associated field).
203  */
204  template<typename VEC> class mesh_slice_cv_dof_data
205  : public mesh_slice_cv_dof_data_base {
206  typedef typename gmm::linalg_traits<VEC>::value_type T;
207  std::vector<T> u;
208  public:
209  mesh_slice_cv_dof_data(const mesh_fem &mf_, const VEC &u_) {
210  pmf=&mf_;
211  gmm::resize(u, mf_.nb_basic_dof());
212  if (mf_.is_reduced())
213  gmm::mult(mf_.extension_matrix(), u_, u);
214  else
215  gmm::copy(u_, u);
216  }
217  virtual void copy(size_type cv, base_vector& coeff) const {
218  coeff.resize(pmf->nb_basic_dof_of_element(cv));
219  const mesh_fem::ind_dof_ct &dof = pmf->ind_basic_dof_of_element(cv);
220  base_vector::iterator out = coeff.begin();
221  for (mesh_fem::ind_dof_ct::iterator it=dof.begin(); it != dof.end();
222  ++it, ++out)
223  *out = u[*it];
224  }
225  scalar_type maxval() const { return gmm::vect_norminf(u); }
226  virtual std::unique_ptr<mesh_slice_cv_dof_data_base> clone() const
227  { return std::make_unique<mesh_slice_cv_dof_data<VEC>>(*this); }
228  };
229 
230 
231  /** @brief generic slicer class.
232 
233  Given a list of slice_simplex/slice_node, it build a news list of
234  slice_simplex/slice_node, indicating which ones are in the slice
235  with the bit_vector splx_in.
236  */
238  public:
239  static const float EPS;
240  virtual void exec(mesh_slicer &ms) = 0;
241  virtual ~slicer_action() {}
242  };
243 
244  /** This slicer does nothing. */
245  class slicer_none : public slicer_action {
246  public:
247  slicer_none() {}
248  void exec(mesh_slicer &/*ms*/) {}
249  static slicer_none& static_instance();
250  };
251 
252  /** Extraction of the boundary of a slice. */
254  slicer_action *A;
255  std::vector<slice_node::faces_ct> convex_faces;
256  bool test_bound(const slice_simplex& s, slice_node::faces_ct& fmask,
257  const mesh_slicer::cs_nodes_ct& nodes) const;
258  void build_from(const mesh& m, const mesh_region& cvflst);
259  public:
260  slicer_boundary(const mesh& m, slicer_action &sA,
261  const mesh_region& fbound);
262  slicer_boundary(const mesh& m,
263  slicer_action &sA = slicer_none::static_instance());
264  void exec(mesh_slicer &ms);
265  };
266 
267  /* Apply a precomputed deformation to the slice nodes */
268  class slicer_apply_deformation : public slicer_action {
269  mesh_slice_cv_dof_data_base *defdata;
270  pfem pf;
271  fem_precomp_pool fprecomp;
272  std::vector<base_node> ref_pts;
273  public:
274  slicer_apply_deformation(mesh_slice_cv_dof_data_base &defdata_)
275  : defdata(&defdata_), pf(0) {
276  if (defdata &&
277  defdata->pmf->get_qdim() != defdata->pmf->linked_mesh().dim())
278  GMM_ASSERT1(false, "wrong Q(=" << int(defdata->pmf->get_qdim())
279  << ") dimension for slice deformation: should be equal to "
280  "the mesh dimension which is "
281  << int(defdata->pmf->linked_mesh().dim()));
282  }
283  void exec(mesh_slicer &ms);
284  };
285 
286  /**
287  Base class for general slices of a mesh (planar, sphere,
288  cylinder,isosurface)
289  */
290  class slicer_volume : public slicer_action {
291  public:
292  enum {VOLIN=-1, VOLBOUND=0, VOLOUT=+1, VOLSPLIT=+2};
293  protected:
294  /**
295  orient defines the kind of slicing :
296  VOLIN -> keep the inside of the volume,
297  VOLBOUND -> its boundary,
298  VOLOUT -> its outside,
299  VOLSPLIT -> keep everything but make split simplexes
300  untils no simplex crosses the boundary
301  */
302  int orient;
303  dal::bit_vector pt_in, pt_bin;
304 
305  /** Overload either 'prepare' or 'test_point'.
306  */
307  virtual void prepare(size_type /*cv*/,
308  const mesh_slicer::cs_nodes_ct& nodes,
309  const dal::bit_vector& nodes_index) {
310  pt_in.clear(); pt_bin.clear();
311  for (dal::bv_visitor i(nodes_index); !i.finished(); ++i) {
312  bool in, bin; test_point(nodes[i].pt, in, bin);
313  if (bin || ((orient > 0) ? !in : in)) pt_in.add(i);
314  if (bin) pt_bin.add(i);
315  }
316  }
317  virtual void test_point(const base_node&, bool& in, bool& bound) const
318  { in=true; bound=true; }
319  /** edge_intersect should always be overloaded */
320  virtual scalar_type
321  edge_intersect(size_type /*i*/, size_type /*j*/,
322  const mesh_slicer::cs_nodes_ct& /*nodes*/) const = 0;
323 
324  slicer_volume(int orient_) : orient(orient_) {}
325 
326  /** Utility function */
327  static scalar_type trinom(scalar_type a, scalar_type b, scalar_type c) {
328  scalar_type delta = b*b - 4*a*c;
329  if (delta < 0.) return 1./EPS;
330  delta = sqrt(delta);
331  scalar_type s1 = (-b - delta) / (2*a);
332  scalar_type s2 = (-b + delta) / (2*a);
333  if (gmm::abs(s1-.5) < gmm::abs(s2-.5)) return s1; else return s2;
334  }
335  void split_simplex(mesh_slicer &ms,
336  slice_simplex s, /* s is NOT a reference, it is on
337  * purpose(push_back in the function)*/
338  size_type sstart, std::bitset<32> spin,
339  std::bitset<32> spbin);
340  public:
341  void exec(mesh_slicer &ms);
342  };
343 
344  /**
345  Slice a mesh with a half-space (or its boundary).
346  */
348  const base_node x0, n; /* normal directed from inside toward outside */
349  void test_point(const base_node& P, bool& in, bool& bound) const {
350  scalar_type s = gmm::vect_sp(P-x0,n);
351  in = (s <= 0); bound = (s*s <= EPS); // gmm::vect_norm2_sqr(P-x0)); No!
352  // do not try to be smart with the boundary check .. easily broken with
353  // slicer_mesh_with_mesh
354  }
355  scalar_type edge_intersect(size_type iA, size_type iB,
356  const mesh_slicer::cs_nodes_ct& nodes) const {
357  const base_node& A=nodes[iA].pt;
358  const base_node& B=nodes[iB].pt;
359  scalar_type s1 = 0., s2 = 0.;
360  for (unsigned i=0; i < A.size(); ++i)
361  { s1 += (A[i] - B[i])*n[i]; s2 += (A[i]-x0[i])*n[i]; }
362  if (gmm::abs(s1) < EPS) return 1./EPS;
363  else return s2/s1;
364  }
365  public:
366  slicer_half_space(base_node x0_, base_node n_, int orient_) :
367  slicer_volume(orient_), x0(x0_), n(n_/gmm::vect_norm2(n_)) {
368  //n *= (1./bgeot::vect_norm2(n));
369  }
370  };
371 
372  /**
373  Slices a mesh with a sphere (or its boundary).
374  */
375  class slicer_sphere : public slicer_volume {
376  base_node x0;
377  scalar_type R;
378  void test_point(const base_node& P, bool& in, bool& bound) const {
379  scalar_type R2 = gmm::vect_dist2_sqr(P,x0);
380  bound = (R2 >= (1-EPS)*R*R && R2 <= (1+EPS)*R*R);
381  in = R2 <= R*R;
382  }
383  scalar_type edge_intersect(size_type iA, size_type iB,
384  const mesh_slicer::cs_nodes_ct& nodes) const {
385  const base_node& A=nodes[iA].pt;
386  const base_node& B=nodes[iB].pt;
387  scalar_type a,b,c; // a*x^2 + b*x + c = 0
388  a = gmm::vect_norm2_sqr(B-A);
389  if (a < EPS) return pt_bin.is_in(iA) ? 0. : 1./EPS;
390  b = 2*gmm::vect_sp(A-x0,B-A);
391  c = gmm::vect_norm2_sqr(A-x0)-R*R;
392  return slicer_volume::trinom(a,b,c);
393  }
394  public:
395  /* orient = -1 => select interior,
396  orient = 0 => select boundary
397  orient = +1 => select exterior */
398  slicer_sphere(base_node x0_, scalar_type R_, int orient_) :
399  slicer_volume(orient_), x0(x0_), R(R_) {}
400  //cerr << "slicer_volume, x0=" << x0 << ", R=" << R << endl; }
401  };
402 
403  /**
404  Slices a mesh with a cylinder (or its boundary).
405  */
407  base_node x0, d;
408  scalar_type R;
409  void test_point(const base_node& P, bool& in, bool& bound) const {
410  base_node N = P;
411  if (2 == N.size()) { /* Add Z coorinate if mesh is 2D */
412  N.push_back(0.0);
413  }
414  N = N-x0;
415  scalar_type axpos = gmm::vect_sp(d, N);
416  scalar_type dist2 = gmm::vect_norm2_sqr(N) - gmm::sqr(axpos);
417  bound = gmm::abs(dist2-R*R) < EPS;
418  in = dist2 < R*R;
419  }
420  scalar_type edge_intersect(size_type iA, size_type iB,
421  const mesh_slicer::cs_nodes_ct& nodes) const {
422  base_node F=nodes[iA].pt;
423  base_node D=nodes[iB].pt-nodes[iA].pt;
424  if (2 == F.size()) {
425  F.push_back(0.0);
426  D.push_back(0.0);
427  }
428  F = F - x0;
429  scalar_type Fd = gmm::vect_sp(F,d);
430  scalar_type Dd = gmm::vect_sp(D,d);
431  scalar_type a = gmm::vect_norm2_sqr(D) - gmm::sqr(Dd);
432  if (a < EPS) return pt_bin.is_in(iA) ? 0. : 1./EPS;
433  assert(a> -EPS);
434  scalar_type b = 2*(gmm::vect_sp(F,D) - Fd*Dd);
435  scalar_type c = gmm::vect_norm2_sqr(F) - gmm::sqr(Fd) - gmm::sqr(R);
436  return slicer_volume::trinom(a,b,c);
437  }
438  public:
439  slicer_cylinder(base_node x0_, base_node x1_,scalar_type R_,int orient_) :
440  slicer_volume(orient_), x0(x0_), d(x1_-x0_), R(R_) {
441  d /= gmm::vect_norm2(d);
442  }
443  };
444 
445 
446  /**
447  Extract an isosurface.
448  */
450  std::unique_ptr<const mesh_slice_cv_dof_data_base> mfU;
451  scalar_type val;
452  scalar_type val_scaling; /* = max(abs(U)) */
453  std::vector<scalar_type> Uval;
454  void prepare(size_type cv, const mesh_slicer::cs_nodes_ct& nodes,
455  const dal::bit_vector& nodes_index);
456  scalar_type edge_intersect(size_type iA, size_type iB,
457  const mesh_slicer::cs_nodes_ct&) const {
458  assert(iA < Uval.size() && iB < Uval.size());
459  if (((Uval[iA] < val) && (Uval[iB] > val)) ||
460  ((Uval[iA] > val) && (Uval[iB] < val)))
461  return (val-Uval[iA])/(Uval[iB]-Uval[iA]);
462  else return 1./EPS;
463  }
464  public:
465  /* orient = -1: u(x) <= val, 0: u(x) == val, +1: u(x) >= val */
466  slicer_isovalues(const mesh_slice_cv_dof_data_base& mfU_,
467  scalar_type val_, int orient_) :
468  slicer_volume(orient_), mfU(mfU_.clone()), val(val_) {
469  GMM_ASSERT1(mfU->pmf->get_qdim() == 1,
470  "can't compute isovalues of a vector field !");
471  val_scaling = mfU->maxval();
472  }
473  };
474 
475  /**
476  Slices a mesh with another mesh. (of same dimension,
477  and whose convex are preferably linear). Note that slicing
478  a refined mesh with a rough mesh should be faster than slicing
479  a rough mesh with a refined mesh.
480  */
482  const mesh& slm;
483  bgeot::rtree tree; /* tree of bounding boxes for slm */
484  protected:
485  virtual void intersection_callback(mesh_slicer &/*ms*/,
486  size_type /*slmcv*/) {}
487  public:
488  slicer_mesh_with_mesh(const mesh&);
489  void exec(mesh_slicer &ms);
490  };
491 
492  /**
493  union of two slices
494  */
495  class slicer_union : public slicer_action {
496  slicer_action *A, *B;
497  public:
498  slicer_union(const slicer_action &sA, const slicer_action &sB) :
499  A(&const_cast<slicer_action&>(sA)), B(&const_cast<slicer_action&>(sB)) {}
500  void exec(mesh_slicer &ms);
501  };
502 
503  /**
504  Build the intersection of two slices
505  */
507  slicer_action *A, *B;
508  public:
509  slicer_intersect(slicer_action &sA, slicer_action &sB) : A(&sA), B(&sB) {}
510  void exec(mesh_slicer &ms);
511  };
512 
513  /**
514  Build the complementary of a slice
515  */
517  slicer_action *A;
518  public:
519  slicer_complementary(slicer_action &sA) : A(&sA) {}
520  void exec(mesh_slicer &ms);
521  };
522 
523  /**
524  Slicer whose side-effect is to compute the area of the
525  slice. Note that if the slice is composed of simplexes of many
526  dimensions, the resulting area is nonsense.
527  */
529  scalar_type a;
530  public:
531  slicer_compute_area() : a(0) {}
532  void exec(mesh_slicer &ms);
533  scalar_type area() const { return a; }
534  };
535 
536  /**
537  Slicer whose side-effect is to build the list of edges
538  (i.e. segments) and store them in a mesh object.
539 
540  Hence all common nodes/edges are eliminated. (this slicer
541  is not useful for anything but visualization of sliced meshes)
542  */
544  mesh& edges_m;
545  dal::bit_vector *pslice_edges;
546  public:
547  /** @param edges_m_ the mesh that will be filled with edges. */
549  : edges_m(edges_m_), pslice_edges(0) {}
550  /** @param edges_m_ the mesh that will be filled with edges.
551  @param bv will contain on output the list of edges numbers
552  (as convex numbers in edges_m_) which where not part of the
553  original mesh, but became apparent when some convex faces were
554  sliced.
555  */
556  slicer_build_edges_mesh(mesh& edges_m_, dal::bit_vector& bv)
557  : edges_m(edges_m_), pslice_edges(&bv) {}
558  void exec(mesh_slicer &ms);
559  };
560 
561  /**
562  Slicer whose side-effect is to build a mesh from the slice
563  simplexes. Hence using slices is a good way to simplexify a
564  mesh, however keep in mind that high order geometric
565  transformation will be simplexified with linear simplexes!
566  */
568  mesh& m;
569  public:
570  slicer_build_mesh(mesh& m_) : m(m_) {}
571  void exec(mesh_slicer &ms);
572  };
573 
574  /**
575  Contract or expand each convex with respect to its gravity center
576  */
577  class slicer_explode : public slicer_action {
578  scalar_type coef;
579  public:
580  /**
581  @param c < 1 => contraction, > 1 -> expansion.
582  */
583  slicer_explode(scalar_type c) : coef(c) {}
584  void exec(mesh_slicer &ms);
585  };
586 
587 }
588 
589 #endif /*GETFEM_MESH_SLICERS_H*/
getfem::slicer_action
generic slicer class.
Definition: getfem_mesh_slicers.h:237
getfem::slicer_volume
Base class for general slices of a mesh (planar, sphere, cylinder,isosurface)
Definition: getfem_mesh_slicers.h:290
getfem::slicer_mesh_with_mesh
Slices a mesh with another mesh.
Definition: getfem_mesh_slicers.h:481
getfem::mesh_fem::is_reduced
bool is_reduced() const
Return true if a reduction matrix is applied to the dofs.
Definition: getfem_mesh_fem.h:195
getfem::slicer_complementary
Build the complementary of a slice.
Definition: getfem_mesh_slicers.h:516
getfem::fem_precomp_pool
handle a pool (i.e.
Definition: getfem_fem.h:717
getfem::stored_mesh_slice
The output of a getfem::mesh_slicer which has been recorded.
Definition: getfem_mesh_slice.h:47
bgeot::size_type
size_t size_type
used as the common size type in the library
Definition: bgeot_poly.h:49
getfem::slicer_sphere
Slices a mesh with a sphere (or its boundary).
Definition: getfem_mesh_slicers.h:375
getfem::mesh_slicer
Apply a serie a slicing operations to a mesh.
Definition: getfem_mesh_slicers.h:103
getfem::slicer_explode
Contract or expand each convex with respect to its gravity center.
Definition: getfem_mesh_slicers.h:577
getfem::slicer_explode::slicer_explode
slicer_explode(scalar_type c)
Definition: getfem_mesh_slicers.h:583
getfem::slicer_build_edges_mesh
Slicer whose side-effect is to build the list of edges (i.e.
Definition: getfem_mesh_slicers.h:543
getfem::mesh_fem
Describe a finite element method linked to a mesh.
Definition: getfem_mesh_fem.h:148
getfem::mesh_fem::extension_matrix
const EXTENSION_MATRIX & extension_matrix() const
Return the extension matrix corresponding to reduction applied (RE=I).
Definition: getfem_mesh_fem.h:201
getfem::slicer_cylinder
Slices a mesh with a cylinder (or its boundary).
Definition: getfem_mesh_slicers.h:406
getfem::slicer_union
union of two slices
Definition: getfem_mesh_slicers.h:495
bgeot::short_type
gmm::uint16_type short_type
used as the common short type integer in the library
Definition: bgeot_config.h:72
bgeot::rtree
Balanced tree of n-dimensional rectangles.
Definition: bgeot_rtree.h:98
getfem
GEneric Tool for Finite Element Methods.
Definition: getfem_accumulated_distro.h:46
getfem::slicer_compute_area
Slicer whose side-effect is to compute the area of the slice.
Definition: getfem_mesh_slicers.h:528
bgeot_rtree.h
region-tree for window/point search on a set of rectangles.
getfem::slicer_half_space
Slice a mesh with a half-space (or its boundary).
Definition: getfem_mesh_slicers.h:347
getfem::mesh_slicer::mesh_slicer
mesh_slicer(const mesh &m_)
mesh_slicer constructor.
Definition: getfem_mesh_slicers.cc:561
getfem::mesh_slice_cv_dof_data
Use this structure to specify that the mesh must be deformed before the slicing operation (with a mes...
Definition: getfem_mesh_slicers.h:204
getfem::mesh_fem::nb_basic_dof
virtual size_type nb_basic_dof() const
Return the total number of basic degrees of freedom (before the optional reduction).
Definition: getfem_mesh_fem.h:556
getfem_mesh_fem.h
Define the getfem::mesh_fem class.
getfem::mesh_level_set
Keep informations about a mesh crossed by level-sets.
Definition: getfem_mesh_level_set.h:52
getfem::slicer_volume::prepare
virtual void prepare(size_type, const mesh_slicer::cs_nodes_ct &nodes, const dal::bit_vector &nodes_index)
Overload either 'prepare' or 'test_point'.
Definition: getfem_mesh_slicers.h:307
getfem::slicer_build_edges_mesh::slicer_build_edges_mesh
slicer_build_edges_mesh(mesh &edges_m_, dal::bit_vector &bv)
Definition: getfem_mesh_slicers.h:556
bgeot::operator==
bool operator==(const pconvex_structure &p1, const pconvex_structure &p2)
Stored objects must be compared by keys, because there is a possibility that they are duplicated in s...
Definition: bgeot_convex_structure.cc:111
getfem::slicer_volume::trinom
static scalar_type trinom(scalar_type a, scalar_type b, scalar_type c)
Utility function.
Definition: getfem_mesh_slicers.h:327
getfem::slicer_build_mesh
Slicer whose side-effect is to build a mesh from the slice simplexes.
Definition: getfem_mesh_slicers.h:567
getfem::pfem
std::shared_ptr< const getfem::virtual_fem > pfem
type of pointer on a fem description
Definition: getfem_fem.h:244
getfem::slicer_isovalues
Extract an isosurface.
Definition: getfem_mesh_slicers.h:449
getfem::slicer_none
This slicer does nothing.
Definition: getfem_mesh_slicers.h:245
getfem::slicer_volume::orient
int orient
orient defines the kind of slicing : VOLIN -> keep the inside of the volume, VOLBOUND -> its boundary...
Definition: getfem_mesh_slicers.h:302
getfem::slicer_volume::edge_intersect
virtual scalar_type edge_intersect(size_type, size_type, const mesh_slicer::cs_nodes_ct &) const =0
edge_intersect should always be overloaded
getfem::slicer_intersect
Build the intersection of two slices.
Definition: getfem_mesh_slicers.h:506
bgeot::mesh_structure
Mesh structure definition.
Definition: bgeot_mesh_structure.h:73
getfem::mesh
Describe a mesh (collection of convexes (elements) and points).
Definition: getfem_mesh.h:95
gmm_kernel.h
Include the base gmm files.
bgeot::pgeometric_trans
std::shared_ptr< const bgeot::geometric_trans > pgeometric_trans
pointer type for a geometric transformation
Definition: bgeot_geometric_trans.h:186
getfem::mesh_region
structure used to hold a set of convexes and/or convex faces.
Definition: getfem_mesh_region.h:55
getfem::slicer_build_edges_mesh::slicer_build_edges_mesh
slicer_build_edges_mesh(mesh &edges_m_)
Definition: getfem_mesh_slicers.h:548
getfem::slicer_boundary
Extraction of the boundary of a slice.
Definition: getfem_mesh_slicers.h:253
getfem::mesh_slicer::exec
void exec(size_type nrefine, const mesh_region &cvlst)
build a new mesh_slice.
Definition: getfem_mesh_slicers.cc:654