Extended documentation of CellAccesor::neighbor() to include anisotropic refinements...

diff --git a/doc/doxygen/images/limit_level_difference_at_vertices_anisotropic.png b/doc/doxygen/images/limit_level_difference_at_vertices_anisotropic.png
new file mode 100644 (file)
index 0000000..be06141
Binary files /dev/null and b/doc/doxygen/images/limit_level_difference_at_vertices_anisotropic.png differ

diff --git a/include/deal.II/grid/tria_accessor.h b/include/deal.II/grid/tria_accessor.h
index d81e961d8dc84a6bc73774e0efebed555aa189ba..80699efb0c737e0e95011030b3efaf77a894ed46 100644 (file)
--- a/include/deal.II/grid/tria_accessor.h
+++ b/include/deal.II/grid/tria_accessor.h
@@ -3302,25 +3302,48 @@ public:
    * Return an iterator to the neighboring cell on the other side of the face
    * with number @p face_no. If the neighbor does not exist,
    * i.e., if the face with number @p face_no of the current object is at the boundary, then
-   * an invalid iterator is returned.
+   * an invalid iterator is returned. In detail, the smallest cell `neighbor`
+   * for which `cell->face(face_no)` is a subset of
+   * `neighbor->face(opposite_face_no)`, where `opposite_face_no` is the face
+   * number opposite to `face_no`.
    *
    * Consequently, the index @p face_no must be less than n_faces().
    *
-   * The neighbor of a cell has at most the same level as this cell. For
-   * example, consider the following situation:
-   * @image html limit_level_difference_at_vertices.png ""
-   * Here, if you are on the top right cell and you ask for its left neighbor
-   * (which is, according to the conventions spelled out in the GeometryInfo
-   * class, its <i>zeroth</i> neighbor), then you will get the mother cell of
-   * the four small cells at the top left. In other words, the cell you get as
-   * neighbor has the same refinement level as the one you're on right now
-   * (the top right one) and it may have children.
-   *
-   * On the other hand, if you were at the top right cell of the four small
-   * cells at the top left, and you asked for the right neighbor (which is
-   * associated with index <code>face_no=1</code>), then you would get the large
-   * cell at the top right which in this case has a lower refinement level and
-   * no children of its own.
+   * For example, consider the following situation:
+   * @image html limit_level_difference_at_vertices_anisotropic.png ""
+   *
+   * Here, if you are on cell `1.3` and ask for its left neighbor (which is,
+   * according to the conventions spelled out in the GeometryInfo class, its
+   * <i>zeroth</i> neighbor), then you will get the mother cell of `3.5`, since
+   * this is the smallest cell for which we have `(1.3)->face(0) ==
+   * (3.5)->parent()->face(1)`. Note, that you will not obtain the mother cell
+   * of `2.8`.
+   *
+   * Further, if you ask for the right (i.e. the <i>first</i>) neighbor of cell
+   * `4.1`, then you will get cell `1.3`. Consequently, there are two
+   * neighboring cells that differ by three in their levels. In fact, using
+   * anisotropic refinement it is possible to generate arbitrary large
+   * differences in the level of neighboring cells. Perform e.g. arbitrarily
+   * many `y`-refinements of cell `4.1` and its children. While the second and
+   * third neighbors are being refined as well, due to the avoidance of multiple
+   * hanging nodes, cell `1.3` always remains as neighbor of the resulting
+   * right-most child.
+   *
+   * On the other hand, if you were at cell `3.3` and ask for its third
+   * neighbor, cell `4.1` will be returned, since it is the smallest cell that
+   * fulfills the described property. This shows, that the neighbor <i>can</i>
+   * have a higher level than the cell itself.
+   *
+   * However, using only isotropic refinement, the neighbor will have <i>at
+   * most</i> the level as the cell itself. This can be verified in the bottom
+   * half of the image, where only isotropic refinement was done: The first
+   * neighbor of `3.3` is given by `2.6`. Further refinement of `2.6` will
+   * generate a new first neighbor with level 3, but any further refinements of
+   * that child will not affect the neighbor of cell `3.3`. Due to the avoidance
+   * of multiple hanging nodes on a mesh, it is also impossible to obtain a
+   * coarser cell than `2.6` as the first neighbor of `3.3`. Consequently, the
+   * neighbor of a fully isotropic refined mesh has either the same level as the
+   * cell itself, or is exactly one level coarser.
    */
   TriaIterator<CellAccessor<dim, spacedim>>
   neighbor(const unsigned int face_no) const;

diff --git a/tests/grid/tria_accessor_neighbors.cc b/tests/grid/tria_accessor_neighbors.cc
new file mode 100644 (file)
index 0000000..0eabcff
--- /dev/null
+++ b/tests/grid/tria_accessor_neighbors.cc
@@ -0,0 +1,387 @@
+// ------------------------------------------------------------------------
+//
+// SPDX-License-Identifier: LGPL-2.1-or-later
+// Copyright (C) 2012 - 2018 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// Part of the source code is dual licensed under Apache-2.0 WITH
+// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
+// governing the source code and code contributions can be found in
+// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
+//
+// ------------------------------------------------------------------------
+
+
+// check the neighbors of cell iterators in 2D
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_out.h>
+#include <deal.II/grid/tria.h>
+
+#include <stdlib.h> // for rand()
+
+#include "../tests.h"
+
+void
+print_log(const typename Triangulation<2, 2>::cell_iterator c1,
+          const typename Triangulation<2, 2>::cell_iterator c2,
+          const unsigned int                                face)
+{
+  std::cout << "Neighbor of " << c1->level() << "." << c1->index()
+            << " at face " << face << " should be " << c2->level() << "."
+            << c2->index() << std::endl;
+  return;
+}
+
+void
+print_log_either(const typename Triangulation<2, 2>::cell_iterator c1,
+                 const typename Triangulation<2, 2>::cell_iterator c2,
+                 const typename Triangulation<2, 2>::cell_iterator c3,
+                 const unsigned int                                face)
+{
+  std::cout << "Neighbor of " << c1->level() << "." << c1->index()
+            << " at face " << face << " should be either " << c2->level() << "."
+            << c3->index() << " or " << c3->level() << "." << c3->index()
+            << std::endl;
+  return;
+}
+
+// Output grid
+void
+output_grid(const Triangulation<2, 2> *tria)
+{
+  GridOutFlags::Svg svg_flags;
+  svg_flags.label_level_number      = true;
+  svg_flags.label_cell_index        = true;
+  svg_flags.coloring                = GridOutFlags::Svg::level_number;
+  svg_flags.background              = GridOutFlags::Svg::transparent;
+  svg_flags.line_thickness          = 1;
+  svg_flags.boundary_line_thickness = 2;
+  GridOut grid_out;
+  grid_out.set_flags(svg_flags);
+  grid_out.write_svg(*tria, deallog.get_file_stream());
+  return;
+}
+
+void
+check_neighbors(const typename Triangulation<2, 2>::cell_iterator cell)
+{
+  // cell corresponds to the refined cell
+  for (unsigned int face = 0; face < 4; face++)
+    {
+      if (cell->face(face)->at_boundary()) // skip boundary faces
+        continue;
+
+      // Check if the cells neighbor is refined
+      if (cell->neighbor(face)->has_children())
+        {
+          // Yes:
+          for (unsigned int child = 0; child < cell->n_children(); child++)
+            {
+              // Is this cell anisotropically refined, s.t. the
+              // child face matches the face of its parent?
+              if (cell->face(face) == cell->child(child)->face(face))
+                { // yes
+                  if (cell->child(child)->neighbor(face) !=
+                      cell->neighbor(face))
+                    {
+                      print_log(cell->child(child), cell->neighbor(face), face);
+                      output_grid(&cell->get_triangulation());
+                    }
+
+                  Assert(cell->child(child)->neighbor(face) ==
+                           cell->neighbor(face),
+                         ExcInternalError()); // Neighbors must coincide
+                }
+
+              // If not, neighbor of the children must be either of the children
+              // of the neighbor of the parent
+              for (unsigned int neighbor_child = 0;
+                   neighbor_child < cell->neighbor(face)->n_children();
+                   neighbor_child++)
+                {
+                  // Get matching face
+                  if (cell->child(child)->face(face) ==
+                      cell->neighbor(face)
+                        ->child(neighbor_child)
+                        ->face(cell->neighbor_of_neighbor(face)))
+                    {
+                      // face matches. Is the child refined? This is important
+                      // in the following setup
+                      //
+                      //   + --------- + --- + --- +
+                      //   |           |     |     |
+                      //   |           |     |     |
+                      //   |           |     |     |
+                      //   + --------- + --- + --- +
+                      //   |           |           |
+                      //   |           |           |
+                      //   |           |           |
+                      //   + --------- + --- + --- +
+                      //
+                      //   Where the parent of the left two anisotropically
+                      //   refined cells is the cell we are checking. The
+                      //   neighbor at face 1 then returns the coarsest cell on
+                      //   the right. Iterating its children gives the unrefined
+                      //   and refined cell. the face matches for the already
+                      //   refined face. So this will throw an error. This only
+                      //   happens in anisotropic refinement. If the cell were
+                      //   to be refined isotropically, as below
+                      //
+                      //   + --------- + --- + --- +
+                      //   |           |     |     |
+                      //   |           + --- + --- +
+                      //   |           |     |     |
+                      //   + --------- + --- + --- +
+                      //   |           |           |
+                      //   |           |           |
+                      //   |           |           |
+                      //   + --------- + --- + --- +
+                      //
+                      //   Then the neighbor should be the parent of the small
+                      //   four children.
+                      //
+                      if (cell->neighbor(face)
+                            ->child(neighbor_child)
+                            ->has_children() &&
+                          cell->neighbor(face)
+                              ->child(neighbor_child)
+                              ->n_children() < 3)
+                        { // yes! Then, it must be either of the children.
+                          if (cell->child(child)->neighbor(face) !=
+                                cell->neighbor(face)
+                                  ->child(neighbor_child)
+                                  ->child(0) &&
+                              cell->child(child)->neighbor(face) !=
+                                cell->neighbor(face)
+                                  ->child(neighbor_child)
+                                  ->child(1))
+                            {
+                              print_log_either(cell->child(child),
+                                               cell->neighbor(face)
+                                                 ->child(neighbor_child)
+                                                 ->child(0),
+                                               cell->neighbor(face)
+                                                 ->child(neighbor_child)
+                                                 ->child(1),
+                                               face);
+                              output_grid(&cell->get_triangulation());
+                            }
+
+                          Assert(cell->child(child)->neighbor(face) ==
+                                     cell->neighbor(face)
+                                       ->child(neighbor_child)
+                                       ->child(0) ||
+                                   cell->child(child)->neighbor(face) ==
+                                     cell->neighbor(face)
+                                       ->child(neighbor_child)
+                                       ->child(1),
+                                 ExcInternalError());
+                        }
+                      else
+                        {
+                          if (cell->child(child)->neighbor(face) !=
+                              cell->neighbor(face)->child(neighbor_child))
+                            {
+                              print_log(cell->child(child),
+                                        cell->neighbor(face)->child(
+                                          neighbor_child),
+                                        face);
+                              output_grid(&cell->get_triangulation());
+                            }
+
+                          Assert(cell->child(child)->neighbor(face) ==
+                                   cell->neighbor(face)->child(neighbor_child),
+                                 ExcInternalError());
+                        }
+                    }
+                }
+            }
+        }
+      else
+        {
+          // No:
+          for (unsigned int child = 0; child < cell->n_children(); child++)
+            {
+              if (cell->face(face) == cell->child(child)->face(face))
+                {
+                  if (cell->child(child)->neighbor(face) !=
+                      cell->neighbor(face))
+                    {
+                      print_log(cell->child(child), cell->neighbor(face), face);
+                      output_grid(&cell->get_triangulation());
+                    }
+
+                  Assert(cell->child(child)->neighbor(face) ==
+                           cell->neighbor(face),
+                         ExcInternalError());
+                }
+            }
+        }
+    }
+}
+
+std::vector<RefinementCase<2>>
+get_refinement_cases()
+{
+  std::vector<RefinementCase<2>> out = {
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(1),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::cut_axis(0),
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement,
+    RefinementCase<2>::isotropic_refinement};
+  return out;
+}
+
+std::vector<unsigned int>
+get_cell_numbers()
+{
+  std::vector<unsigned int> out = {
+    2,   5,   5,   12,  2,   16,  2,   4,   18,  15,  8,   21,  13,  19,  11,
+    15,  10,  9,   56,  50,  63,  23,  50,  89,  82,  96,  38,  105, 4,   73,
+    38,  81,  89,  29,  143, 65,  166, 135, 12,  130, 46,  213, 132, 71,  106,
+    102, 0,   226, 258, 175, 278, 196, 57,  272, 288, 260, 218, 33,  337, 86,
+    255, 267, 163, 179, 223, 175, 291, 347, 260, 272, 410, 369, 4,   90,  170,
+    417, 361, 275, 413, 287, 218, 362, 375, 476, 69,  24,  138, 195, 149, 32,
+    219, 252, 112, 127, 583, 415, 583, 522, 288, 125};
+  return out;
+}
+
+
+void
+test()
+{
+  // Get a grid in 2D
+  Triangulation<2> triangulation;
+  GridGenerator::hyper_cube(triangulation);
+  triangulation.refine_global();
+
+  const std::vector<RefinementCase<2>> refinements  = get_refinement_cases();
+  const std::vector<unsigned int>      cell_numbers = get_cell_numbers();
+
+  // Generate some random refinement
+  // The idea is as follows
+  // ref_type is a random number between 0 and 2.
+  //  -> If ref_type is 0, 1 we refine that axis
+  //  -> If ref_type is 2 we use isotropic refinement
+  // cell_number refers to the cell we want to refine
+  // obtained by advancing triangulation.begin_active()
+  // cell_number times
+  for (unsigned int r = 0; r < 100; r++)
+    {
+      auto cell = triangulation.begin_active();
+      std::advance(cell, cell_numbers[r]);
+
+      cell->set_refine_flag(refinements[r]);
+
+      triangulation.execute_coarsening_and_refinement();
+      check_neighbors(cell);
+    }
+  output_grid(&triangulation);
+}
+
+
+int
+main()
+{
+  initlog();
+
+  test();
+
+  return 0;
+}

diff --git a/tests/grid/tria_accessor_neighbors.output b/tests/grid/tria_accessor_neighbors.output
new file mode 100644 (file)
index 0000000..511eef3
--- /dev/null
+++ b/tests/grid/tria_accessor_neighbors.output
@@ -0,0 +1,1420 @@
+
+<svg width="1000" height="1000" xmlns="http://www.w3.org/2000/svg" version="1.1">
+
+
+<!-- internal style sheet -->
+<style type="text/css"><![CDATA[
+ rect.background{fill:none}
+ rect{fill:none; stroke:rgb(25,25,25); stroke-width:1}
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+  <!-- cells -->
+  <path class="p3" d="M 80 185 L 185 185 L 185 80 L 80 80 L 80 185"/>
+  <text x="133" y="145" style="font-size:24px">3.2</text>
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+  <line x1="80" y1="710" x2="80" y2="605"/>
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+  <text x="133" y="880" style="font-size:24px">3.40</text>
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+  <line x1="80" y1="920" x2="185" y2="920"/>
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+  <text x="133" y="775" style="font-size:24px">3.42</text>
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+  <text x="868" y="460" style="font-size:25px">3.49</text>
+  <line x1="920" y1="500" x2="920" y2="395"/>
+  <path class="p3" d="M 710 920 L 815 920 L 815 815 L 710 815 L 710 920"/>
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+  <line x1="710" y1="920" x2="815" y2="920"/>
+  <path class="p3" d="M 815 920 L 920 920 L 920 815 L 815 815 L 815 920"/>
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+  <line x1="920" y1="920" x2="920" y2="815"/>
+  <line x1="815" y1="920" x2="920" y2="920"/>
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+  <text x="763" y="775" style="font-size:25px">3.54</text>
+  <path class="p3" d="M 815 815 L 920 815 L 920 710 L 815 710 L 815 815"/>
+  <text x="868" y="775" style="font-size:24px">3.55</text>
+  <line x1="920" y1="815" x2="920" y2="710"/>
+  <path class="p3" d="M 500 920 L 605 920 L 605 815 L 500 815 L 500 920"/>
+  <text x="553" y="880" style="font-size:25px">3.56</text>
+  <line x1="500" y1="920" x2="605" y2="920"/>
+  <path class="p3" d="M 605 920 L 710 920 L 710 815 L 605 815 L 605 920"/>
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+  <path class="p3" d="M 500 815 L 605 815 L 605 710 L 500 710 L 500 815"/>
+  <text x="553" y="776" style="font-size:26px">3.58</text>
+  <path class="p3" d="M 605 815 L 710 815 L 710 710 L 605 710 L 605 815"/>
+  <text x="658" y="775" style="font-size:25px">3.59</text>
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+  <path class="p4" d="M 290 133 L 343 133 L 343 80 L 290 80 L 290 133"/>
+  <text x="316" y="112" style="font-size:12px">4.10</text>
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+  <path class="p4" d="M 500 500 L 553 500 L 553 395 L 500 395 L 500 500"/>
+  <text x="526" y="454" style="font-size:13px">4.12</text>
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+  <text x="264" y="480" style="font-size:13px">4.21</text>
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+  <text x="264" y="428" style="font-size:13px">4.23</text>
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+  <text x="316" y="795" style="font-size:13px">4.24</text>
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+  <text x="316" y="743" style="font-size:13px">4.26</text>
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+  <text x="369" y="743" style="font-size:13px">4.27</text>
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+  <text x="526" y="270" style="font-size:13px">4.28</text>
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+  <text x="579" y="270" style="font-size:13px">4.29</text>
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+  <line x1="343" y1="920" x2="395" y2="920"/>
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+  <text x="264" y="375" style="font-size:13px">4.37</text>
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+  <text x="211" y="585" style="font-size:13px">4.44</text>
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+  <text x="211" y="533" style="font-size:13px">4.46</text>
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+  <text x="264" y="533" style="font-size:13px">4.47</text>
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+  <text x="631" y="454" style="font-size:13px">4.48</text>
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+  <text x="553" y="690" style="font-size:13px">4.62</text>
+  <path class="p4" d="M 605 710 L 710 710 L 710 658 L 605 658 L 605 710"/>
+  <text x="658" y="690" style="font-size:13px">4.63</text>
+  <path class="p4" d="M 710 710 L 763 710 L 763 658 L 710 658 L 710 710"/>
+  <text x="736" y="690" style="font-size:13px">4.70</text>
+  <path class="p4" d="M 763 710 L 815 710 L 815 658 L 763 658 L 763 710"/>
+  <text x="789" y="690" style="font-size:13px">4.71</text>
+  <path class="p4" d="M 763 658 L 815 658 L 815 605 L 763 605 L 763 658"/>
+  <text x="789" y="638" style="font-size:13px">4.73</text>
+  <path class="p4" d="M 815 605 L 868 605 L 868 553 L 815 553 L 815 605"/>
+  <text x="841" y="585" style="font-size:13px">4.74</text>
+  <path class="p4" d="M 868 605 L 920 605 L 920 553 L 868 553 L 868 605"/>
+  <text x="894" y="585" style="font-size:12px">4.75</text>
+  <line x1="920" y1="605" x2="920" y2="553"/>
+  <path class="p4" d="M 815 553 L 868 553 L 868 500 L 815 500 L 815 553"/>
+  <text x="841" y="533" style="font-size:13px">4.76</text>
+  <path class="p4" d="M 185 185 L 238 185 L 238 133 L 185 133 L 185 185"/>
+  <text x="211" y="165" style="font-size:12px">4.78</text>
+  <path class="p4" d="M 238 185 L 290 185 L 290 133 L 238 133 L 238 185"/>
+  <text x="264" y="165" style="font-size:12px">4.79</text>
+  <path class="p4" d="M 185 133 L 238 133 L 238 80 L 185 80 L 185 133"/>
+  <text x="211" y="112" style="font-size:12px">4.80</text>
+  <line x1="185" y1="80" x2="238" y2="80"/>
+  <path class="p4" d="M 238 133 L 290 133 L 290 80 L 238 80 L 238 133"/>
+  <text x="264" y="112" style="font-size:12px">4.81</text>
+  <line x1="238" y1="80" x2="290" y2="80"/>
+  <path class="p4" d="M 815 395 L 920 395 L 920 343 L 815 343 L 815 395"/>
+  <text x="868" y="375" style="font-size:12px">4.86</text>
+  <line x1="920" y1="395" x2="920" y2="343"/>
+  <path class="p4" d="M 815 343 L 920 343 L 920 290 L 815 290 L 815 343"/>
+  <text x="868" y="322" style="font-size:12px">4.87</text>
+  <line x1="920" y1="343" x2="920" y2="290"/>
+  <path class="p4" d="M 763 290 L 815 290 L 815 238 L 763 238 L 763 290"/>
+  <text x="789" y="270" style="font-size:12px">4.89</text>
+  <path class="p4" d="M 710 238 L 763 238 L 763 185 L 710 185 L 710 238"/>
+  <text x="736" y="217" style="font-size:12px">4.90</text>
+  <path class="p4" d="M 185 238 L 238 238 L 238 185 L 185 185 L 185 238"/>
+  <text x="211" y="217" style="font-size:12px">4.94</text>
+  <path class="p4" d="M 238 238 L 290 238 L 290 185 L 238 185 L 238 238"/>
+  <text x="264" y="217" style="font-size:12px">4.95</text>
+  <path class="p4" d="M 343 395 L 395 395 L 395 343 L 343 343 L 343 395"/>
+  <text x="369" y="375" style="font-size:13px">4.97</text>
+  <path class="p4" d="M 343 343 L 395 343 L 395 290 L 343 290 L 343 343"/>
+  <text x="369" y="323" style="font-size:13px">4.99</text>
+  <path class="p4" d="M 710 185 L 763 185 L 763 133 L 710 133 L 710 185"/>
+  <text x="736" y="165" style="font-size:12px">4.100</text>
+  <path class="p4" d="M 763 133 L 815 133 L 815 80 L 763 80 L 763 133"/>
+  <text x="789" y="112" style="font-size:12px">4.103</text>
+  <line x1="763" y1="80" x2="815" y2="80"/>
+  <path class="p4" d="M 395 500 L 448 500 L 448 448 L 395 448 L 395 500"/>
+  <text x="421" y="480" style="font-size:13px">4.104</text>
+  <path class="p4" d="M 448 500 L 500 500 L 500 448 L 448 448 L 448 500"/>
+  <text x="474" y="480" style="font-size:13px">4.105</text>
+  <path class="p4" d="M 395 448 L 448 448 L 448 395 L 395 395 L 395 448"/>
+  <text x="421" y="428" style="font-size:13px">4.106</text>
+  <path class="p4" d="M 448 448 L 500 448 L 500 395 L 448 395 L 448 448"/>
+  <text x="474" y="428" style="font-size:13px">4.107</text>
+  <path class="p4" d="M 448 815 L 500 815 L 500 763 L 448 763 L 448 815"/>
+  <text x="474" y="795" style="font-size:13px">4.109</text>
+  <path class="p4" d="M 395 763 L 448 763 L 448 710 L 395 710 L 395 763"/>
+  <text x="421" y="743" style="font-size:13px">4.110</text>
+  <path class="p4" d="M 448 763 L 500 763 L 500 710 L 448 710 L 448 763"/>
+  <text x="474" y="743" style="font-size:13px">4.111</text>
+  <path class="p4" d="M 868 185 L 920 185 L 920 133 L 868 133 L 868 185"/>
+  <text x="894" y="165" style="font-size:12px">4.113</text>
+  <line x1="920" y1="185" x2="920" y2="133"/>
+  <path class="p4" d="M 815 133 L 868 133 L 868 80 L 815 80 L 815 133"/>
+  <text x="841" y="112" style="font-size:12px">4.114</text>
+  <line x1="815" y1="80" x2="868" y2="80"/>
+  <path class="p4" d="M 868 133 L 920 133 L 920 80 L 868 80 L 868 133"/>
+  <text x="894" y="112" style="font-size:12px">4.115</text>
+  <line x1="920" y1="133" x2="920" y2="80"/>
+  <line x1="868" y1="80" x2="920" y2="80"/>
+  <path class="p4" d="M 395 290 L 448 290 L 448 238 L 395 238 L 395 290"/>
+  <text x="421" y="270" style="font-size:13px">4.116</text>
+  <path class="p4" d="M 395 238 L 448 238 L 448 185 L 395 185 L 395 238"/>
+  <text x="421" y="218" style="font-size:13px">4.118</text>
+  <path class="p4" d="M 448 238 L 500 238 L 500 185 L 448 185 L 448 238"/>
+  <text x="474" y="218" style="font-size:13px">4.119</text>
+  <path class="p4" d="M 80 238 L 185 238 L 185 185 L 80 185 L 80 238"/>
+  <text x="133" y="217" style="font-size:12px">4.121</text>
+  <line x1="80" y1="238" x2="80" y2="185"/>
+  <path class="p4" d="M 710 395 L 763 395 L 763 343 L 710 343 L 710 395"/>
+  <text x="736" y="375" style="font-size:13px">4.122</text>
+  <path class="p4" d="M 763 395 L 815 395 L 815 343 L 763 343 L 763 395"/>
+  <text x="789" y="375" style="font-size:13px">4.123</text>
+  <path class="p4" d="M 763 343 L 815 343 L 815 290 L 763 290 L 763 343"/>
+  <text x="789" y="323" style="font-size:13px">4.125</text>
+  <path class="p4" d="M 815 290 L 868 290 L 868 238 L 815 238 L 815 290"/>
+  <text x="841" y="270" style="font-size:12px">4.126</text>
+  <path class="p4" d="M 868 290 L 920 290 L 920 238 L 868 238 L 868 290"/>
+  <text x="894" y="270" style="font-size:12px">4.127</text>
+  <line x1="920" y1="290" x2="920" y2="238"/>
+  <path class="p4" d="M 815 238 L 868 238 L 868 185 L 815 185 L 815 238"/>
+  <text x="841" y="217" style="font-size:12px">4.128</text>
+  <path class="p4" d="M 868 238 L 920 238 L 920 185 L 868 185 L 868 238"/>
+  <text x="894" y="217" style="font-size:12px">4.129</text>
+  <line x1="920" y1="238" x2="920" y2="185"/>
+  <path class="p4" d="M 343 553 L 395 553 L 395 500 L 343 500 L 343 553"/>
+  <text x="369" y="533" style="font-size:13px">4.133</text>
+  <path class="p4" d="M 185 710 L 238 710 L 238 658 L 185 658 L 185 710"/>
+  <text x="211" y="690" style="font-size:13px">4.134</text>
+  <path class="p4" d="M 238 710 L 290 710 L 290 658 L 238 658 L 238 710"/>
+  <text x="264" y="690" style="font-size:13px">4.135</text>
+  <path class="p4" d="M 185 658 L 238 658 L 238 605 L 185 605 L 185 658"/>
+  <text x="211" y="638" style="font-size:13px">4.136</text>
+  <path class="p4" d="M 763 500 L 815 500 L 815 448 L 763 448 L 763 500"/>
+  <text x="789" y="480" style="font-size:13px">4.139</text>
+  <path class="p4" d="M 710 448 L 763 448 L 763 395 L 710 395 L 710 448"/>
+  <text x="736" y="428" style="font-size:13px">4.140</text>
+  <path class="p4" d="M 763 448 L 815 448 L 815 395 L 763 395 L 763 448"/>
+  <text x="789" y="428" style="font-size:13px">4.141</text>
+  <path class="p4" d="M 395 605 L 448 605 L 448 553 L 395 553 L 395 605"/>
+  <text x="421" y="585" style="font-size:13px">4.142</text>
+  <path class="p4" d="M 448 605 L 500 605 L 500 553 L 448 553 L 448 605"/>
+  <text x="474" y="585" style="font-size:13px">4.143</text>
+  <path class="p4" d="M 395 553 L 448 553 L 448 500 L 395 500 L 395 553"/>
+  <text x="421" y="533" style="font-size:13px">4.144</text>
+  <path class="p4" d="M 395 920 L 448 920 L 448 868 L 395 868 L 395 920"/>
+  <text x="421" y="900" style="font-size:12px">4.146</text>
+  <line x1="395" y1="920" x2="448" y2="920"/>
+  <path class="p4" d="M 448 920 L 500 920 L 500 868 L 448 868 L 448 920"/>
+  <text x="474" y="900" style="font-size:12px">4.147</text>
+  <line x1="448" y1="920" x2="500" y2="920"/>
+  <path class="p4" d="M 395 868 L 448 868 L 448 815 L 395 815 L 395 868"/>
+  <text x="421" y="848" style="font-size:13px">4.148</text>
+  <path class="p4" d="M 448 868 L 500 868 L 500 815 L 448 815 L 448 868"/>
+  <text x="474" y="848" style="font-size:13px">4.149</text>
+  <path class="p4" d="M 290 500 L 343 500 L 343 448 L 290 448 L 290 500"/>
+  <text x="316" y="480" style="font-size:13px">4.150</text>
+  <path class="p4" d="M 343 500 L 395 500 L 395 448 L 343 448 L 343 500"/>
+  <text x="369" y="480" style="font-size:13px">4.151</text>
+  <path class="p4" d="M 290 448 L 343 448 L 343 395 L 290 395 L 290 448"/>
+  <text x="316" y="428" style="font-size:13px">4.152</text>
+  <path class="p4" d="M 343 448 L 395 448 L 395 395 L 343 395 L 343 448"/>
+  <text x="369" y="428" style="font-size:13px">4.153</text>
+  <path class="p4" d="M 290 710 L 343 710 L 343 658 L 290 658 L 290 710"/>
+  <text x="316" y="690" style="font-size:13px">4.154</text>
+  <path class="p4" d="M 343 710 L 395 710 L 395 658 L 343 658 L 343 710"/>
+  <text x="369" y="690" style="font-size:13px">4.155</text>
+  <path class="p4" d="M 290 658 L 343 658 L 343 605 L 290 605 L 290 658"/>
+  <text x="316" y="638" style="font-size:13px">4.156</text>
+  <path class="p4" d="M 343 658 L 395 658 L 395 605 L 343 605 L 343 658"/>
+  <text x="369" y="638" style="font-size:13px">4.157</text>
+  <path class="p4" d="M 185 920 L 238 920 L 238 868 L 185 868 L 185 920"/>
+  <text x="211" y="900" style="font-size:12px">4.158</text>
+  <line x1="185" y1="920" x2="238" y2="920"/>
+  <path class="p4" d="M 238 920 L 290 920 L 290 868 L 238 868 L 238 920"/>
+  <text x="264" y="900" style="font-size:12px">4.159</text>
+  <line x1="238" y1="920" x2="290" y2="920"/>
+  <path class="p4" d="M 238 868 L 290 868 L 290 815 L 238 815 L 238 868"/>
+  <text x="264" y="847" style="font-size:12px">4.161</text>
+  <path class="p4" d="M 185 815 L 238 815 L 238 763 L 185 763 L 185 815"/>
+  <text x="211" y="795" style="font-size:12px">4.162</text>
+  <path class="p4" d="M 238 815 L 290 815 L 290 763 L 238 763 L 238 815"/>
+  <text x="264" y="795" style="font-size:12px">4.163</text>
+  <path class="p4" d="M 185 763 L 238 763 L 238 710 L 185 710 L 185 763"/>
+  <text x="211" y="742" style="font-size:12px">4.164</text>
+  <path class="p4" d="M 238 763 L 290 763 L 290 710 L 238 710 L 238 763"/>
+  <text x="264" y="743" style="font-size:13px">4.165</text>
+  <path class="p4" d="M 395 710 L 448 710 L 448 658 L 395 658 L 395 710"/>
+  <text x="421" y="690" style="font-size:13px">4.166</text>
+  <path class="p4" d="M 448 710 L 500 710 L 500 658 L 448 658 L 448 710"/>
+  <text x="474" y="690" style="font-size:13px">4.167</text>
+  <path class="p4" d="M 395 658 L 448 658 L 448 605 L 395 605 L 395 658"/>
+  <text x="421" y="638" style="font-size:13px">4.168</text>
+  <path class="p4" d="M 448 658 L 500 658 L 500 605 L 448 605 L 448 658"/>
+  <text x="474" y="638" style="font-size:13px">4.169</text>
+  <path class="p5" d="M 185 500 L 211 500 L 211 474 L 185 474 L 185 500"/>
+  <text x="198" y="490" style="font-size:6px">5.0</text>
+  <path class="p5" d="M 211 500 L 238 500 L 238 474 L 211 474 L 211 500"/>
+  <text x="224" y="490" style="font-size:6px">5.1</text>
+  <path class="p5" d="M 185 474 L 211 474 L 211 448 L 185 448 L 185 474"/>
+  <text x="198" y="464" style="font-size:6px">5.2</text>
+  <path class="p5" d="M 211 474 L 238 474 L 238 448 L 211 448 L 211 474"/>
+  <text x="224" y="464" style="font-size:6px">5.3</text>
+  <path class="p5" d="M 553 395 L 605 395 L 605 343 L 553 343 L 553 395"/>
+  <text x="579" y="372" style="font-size:7px">5.4</text>
+  <path class="p5" d="M 553 343 L 605 343 L 605 290 L 553 290 L 553 343"/>
+  <text x="579" y="320" style="font-size:7px">5.5</text>
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+  <text x="631" y="613" style="font-size:3px">6.184</text>
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+  <text x="612" y="232" style="font-size:3px">6.186</text>
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+  <text x="503" y="130" style="font-size:2px">7.8</text>
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+  <text x="510" y="130" style="font-size:2px">7.9</text>
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+  <text x="503" y="124" style="font-size:2px">7.10</text>
+  <path class="p7" d="M 507 126 L 513 126 L 513 119 L 507 119 L 507 126"/>
+  <text x="510" y="124" style="font-size:2px">7.11</text>
+  <path class="p7" d="M 658 198 L 664 198 L 664 192 L 658 192 L 658 198"/>
+  <text x="661" y="196" style="font-size:2px">7.12</text>
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+  <text x="667" y="196" style="font-size:2px">7.13</text>
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+  <text x="661" y="189" style="font-size:2px">7.14</text>
+  <path class="p7" d="M 664 192 L 671 192 L 671 185 L 664 185 L 664 192"/>
+  <text x="667" y="189" style="font-size:2px">7.15</text>
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+  <text x="635" y="183" style="font-size:2px">7.16</text>
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+  <text x="641" y="183" style="font-size:2px">7.17</text>
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+  <text x="635" y="176" style="font-size:2px">7.18</text>
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+  <text x="641" y="176" style="font-size:2px">7.19</text>
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+  <text x="654" y="183" style="font-size:2px">7.21</text>
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+  <text x="648" y="176" style="font-size:2px">7.22</text>
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+  <text x="654" y="176" style="font-size:2px">7.23</text>
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+  <text x="661" y="170" style="font-size:2px">7.24</text>
+  <path class="p7" d="M 664 172 L 671 172 L 671 165 L 664 165 L 664 172"/>
+  <text x="667" y="170" style="font-size:2px">7.25</text>
+  <path class="p7" d="M 658 165 L 664 165 L 664 159 L 658 159 L 658 165"/>
+  <text x="661" y="163" style="font-size:2px">7.26</text>
+  <path class="p7" d="M 664 165 L 671 165 L 671 159 L 664 159 L 664 165"/>
+  <text x="667" y="163" style="font-size:2px">7.27</text>
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+  <text x="654" y="209" style="font-size:2px">7.29</text>
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+  <text x="654" y="202" style="font-size:2px">7.31</text>
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+  <text x="703" y="563" style="font-size:2px">7.33</text>
+  <path class="p7" d="M 697 559 L 710 559 L 710 553 L 697 553 L 697 559"/>
+  <text x="703" y="557" style="font-size:2px">7.35</text>
+  <path class="p7" d="M 684 546 L 697 546 L 697 539 L 684 539 L 684 546"/>
+  <text x="690" y="544" style="font-size:2px">7.38</text>
+  <path class="p7" d="M 697 546 L 710 546 L 710 539 L 697 539 L 697 546"/>
+  <text x="703" y="544" style="font-size:2px">7.39</text>
+  <path class="p7" d="M 684 395 L 690 395 L 690 343 L 684 343 L 684 395"/>
+  <text x="687" y="370" style="font-size:2px">7.40</text>
+  <path class="p7" d="M 690 395 L 697 395 L 697 343 L 690 343 L 690 395"/>
+  <text x="694" y="370" style="font-size:2px">7.41</text>
+  <path class="p7" d="M 474 133 L 487 133 L 487 126 L 474 126 L 474 133"/>
+  <text x="480" y="130" style="font-size:2px">7.42</text>
+  <path class="p7" d="M 474 126 L 487 126 L 487 119 L 474 119 L 474 126"/>
+  <text x="480" y="124" style="font-size:2px">7.43</text>
+  <path class="p7" d="M 513 159 L 520 159 L 520 152 L 513 152 L 513 159"/>
+  <text x="516" y="156" style="font-size:2px">7.44</text>
+  <path class="p7" d="M 520 159 L 526 159 L 526 152 L 520 152 L 520 159"/>
+  <text x="523" y="156" style="font-size:2px">7.45</text>
+  <path class="p7" d="M 520 152 L 526 152 L 526 146 L 520 146 L 520 152"/>
+  <text x="523" y="150" style="font-size:2px">7.47</text>
+  <path class="p7" d="M 251 303 L 264 303 L 264 297 L 251 297 L 251 303"/>
+  <text x="257" y="301" style="font-size:2px">7.48</text>
+  <path class="p7" d="M 684 343 L 690 343 L 690 316 L 684 316 L 684 343"/>
+  <text x="687" y="330" style="font-size:2px">7.50</text>
+  <path class="p7" d="M 690 343 L 697 343 L 697 316 L 690 316 L 690 343"/>
+  <text x="694" y="330" style="font-size:2px">7.51</text>
+  <path class="p7" d="M 684 316 L 690 316 L 690 290 L 684 290 L 684 316"/>
+  <text x="687" y="304" style="font-size:2px">7.52</text>
+  <path class="p7" d="M 690 316 L 697 316 L 697 290 L 690 290 L 690 316"/>
+  <text x="694" y="304" style="font-size:2px">7.53</text>
+  <path class="p7" d="M 500 159 L 507 159 L 507 152 L 500 152 L 500 159"/>
+  <text x="503" y="156" style="font-size:2px">7.54</text>
+  <path class="p7" d="M 507 159 L 513 159 L 513 152 L 507 152 L 507 159"/>
+  <text x="510" y="156" style="font-size:2px">7.55</text>
+  <path class="p7" d="M 500 152 L 507 152 L 507 146 L 500 146 L 500 152"/>
+  <text x="503" y="150" style="font-size:2px">7.56</text>
+  <path class="p7" d="M 507 152 L 513 152 L 513 146 L 507 146 L 507 152"/>
+  <text x="510" y="150" style="font-size:2px">7.57</text>
+  <path class="p7" d="M 513 146 L 520 146 L 520 139 L 513 139 L 513 146"/>
+  <text x="516" y="143" style="font-size:2px">7.58</text>
+  <path class="p7" d="M 520 146 L 526 146 L 526 139 L 520 139 L 520 146"/>
+  <text x="523" y="143" style="font-size:2px">7.59</text>
+  <path class="p7" d="M 513 139 L 520 139 L 520 133 L 513 133 L 513 139"/>
+  <text x="516" y="137" style="font-size:2px">7.60</text>
+  <path class="p7" d="M 520 139 L 526 139 L 526 133 L 520 133 L 520 139"/>
+  <text x="523" y="137" style="font-size:2px">7.61</text>
+  <path class="p7" d="M 474 146 L 480 146 L 480 139 L 474 139 L 474 146"/>
+  <text x="477" y="143" style="font-size:2px">7.62</text>
+  <path class="p7" d="M 480 146 L 487 146 L 487 139 L 480 139 L 480 146"/>
+  <text x="484" y="143" style="font-size:2px">7.63</text>
+  <path class="p7" d="M 474 139 L 480 139 L 480 133 L 474 133 L 474 139"/>
+  <text x="477" y="137" style="font-size:2px">7.64</text>
+  <path class="p7" d="M 480 139 L 487 139 L 487 133 L 480 133 L 480 139"/>
+  <text x="484" y="137" style="font-size:2px">7.65</text>
+  <path class="p7" d="M 264 316 L 277 316 L 277 310 L 264 310 L 264 316"/>
+  <text x="270" y="314" style="font-size:2px">7.66</text>
+  <path class="p7" d="M 264 310 L 277 310 L 277 303 L 264 303 L 264 310"/>
+  <text x="270" y="307" style="font-size:2px">7.67</text>
+  <path class="p7" d="M 644 172 L 651 172 L 651 165 L 644 165 L 644 172"/>
+  <text x="648" y="170" style="font-size:2px">7.68</text>
+  <path class="p7" d="M 651 172 L 658 172 L 658 165 L 651 165 L 651 172"/>
+  <text x="654" y="170" style="font-size:2px">7.69</text>
+  <path class="p7" d="M 644 165 L 651 165 L 651 159 L 644 159 L 644 165"/>
+  <text x="648" y="163" style="font-size:2px">7.70</text>
+  <path class="p7" d="M 651 165 L 658 165 L 658 159 L 651 159 L 651 165"/>
+  <text x="654" y="163" style="font-size:2px">7.71</text>
+  <path class="p7" d="M 631 211 L 638 211 L 638 205 L 631 205 L 631 211"/>
+  <text x="635" y="209" style="font-size:2px">7.72</text>
+  <path class="p7" d="M 631 205 L 638 205 L 638 198 L 631 198 L 631 205"/>
+  <text x="635" y="202" style="font-size:2px">7.74</text>
+  <path class="p7" d="M 658 566 L 684 566 L 684 559 L 658 559 L 658 566"/>
+  <text x="671" y="563" style="font-size:2px">7.76</text>
+  <path class="p7" d="M 658 559 L 684 559 L 684 553 L 658 553 L 658 559"/>
+  <text x="671" y="557" style="font-size:2px">7.77</text>
+  <path class="p7" d="M 513 172 L 520 172 L 520 165 L 513 165 L 513 172"/>
+  <text x="516" y="170" style="font-size:2px">7.78</text>
+  <path class="p7" d="M 520 172 L 526 172 L 526 165 L 520 165 L 520 172"/>
+  <text x="523" y="170" style="font-size:2px">7.79</text>
+  <path class="p7" d="M 513 165 L 520 165 L 520 159 L 513 159 L 513 165"/>
+  <text x="516" y="163" style="font-size:2px">7.80</text>
+  <path class="p7" d="M 520 165 L 526 165 L 526 159 L 520 159 L 520 165"/>
+  <text x="523" y="163" style="font-size:2px">7.81</text>
+  <path class="p7" d="M 697 290 L 710 290 L 710 283 L 697 283 L 697 290"/>
+  <text x="703" y="288" style="font-size:2px">7.82</text>
+  <path class="p7" d="M 697 283 L 710 283 L 710 277 L 697 277 L 697 283"/>
+  <text x="703" y="281" style="font-size:2px">7.83</text>
+  <path class="p7" d="M 631 224 L 638 224 L 638 218 L 631 218 L 631 224"/>
+  <text x="635" y="222" style="font-size:2px">7.84</text>
+  <path class="p7" d="M 638 224 L 644 224 L 644 218 L 638 218 L 638 224"/>
+  <text x="641" y="222" style="font-size:2px">7.85</text>
+  <path class="p7" d="M 631 218 L 638 218 L 638 211 L 631 211 L 631 218"/>
+  <text x="635" y="216" style="font-size:2px">7.86</text>
+  <path class="p7" d="M 638 218 L 644 218 L 644 211 L 638 211 L 638 218"/>
+  <text x="641" y="216" style="font-size:2px">7.87</text>
+  <path class="p7" d="M 684 290 L 690 290 L 690 283 L 684 283 L 684 290"/>
+  <text x="687" y="288" style="font-size:2px">7.88</text>
+  <path class="p7" d="M 690 290 L 697 290 L 697 283 L 690 283 L 690 290"/>
+  <text x="694" y="288" style="font-size:2px">7.89</text>
+  <path class="p7" d="M 684 283 L 690 283 L 690 277 L 684 277 L 684 283"/>
+  <text x="687" y="281" style="font-size:2px">7.90</text>
+  <path class="p7" d="M 690 283 L 697 283 L 697 277 L 690 277 L 690 283"/>
+  <text x="694" y="281" style="font-size:2px">7.91</text>
+  <path class="p7" d="M 684 579 L 697 579 L 697 572 L 684 572 L 684 579"/>
+  <text x="690" y="576" style="font-size:2px">7.92</text>
+  <path class="p7" d="M 697 579 L 710 579 L 710 572 L 697 572 L 697 579"/>
+  <text x="703" y="576" style="font-size:2px">7.93</text>
+  <path class="p7" d="M 684 572 L 697 572 L 697 566 L 684 566 L 684 572"/>
+  <text x="690" y="570" style="font-size:2px">7.94</text>
+  <path class="p7" d="M 697 572 L 710 572 L 710 566 L 697 566 L 697 572"/>
+  <text x="703" y="570" style="font-size:2px">7.95</text>
+  <path class="p7" d="M 658 553 L 671 553 L 671 546 L 658 546 L 658 553"/>
+  <text x="664" y="550" style="font-size:2px">7.96</text>
+  <path class="p7" d="M 671 553 L 684 553 L 684 546 L 671 546 L 671 553"/>
+  <text x="677" y="550" style="font-size:2px">7.97</text>
+  <path class="p7" d="M 658 546 L 671 546 L 671 539 L 658 539 L 658 546"/>
+  <text x="664" y="544" style="font-size:2px">7.98</text>
+  <path class="p7" d="M 671 546 L 684 546 L 684 539 L 671 539 L 671 546"/>
+  <text x="677" y="544" style="font-size:2px">7.99</text>
+  <path class="p7" d="M 238 303 L 244 303 L 244 297 L 238 297 L 238 303"/>
+  <text x="241" y="301" style="font-size:2px">7.100</text>
+  <path class="p7" d="M 244 303 L 251 303 L 251 297 L 244 297 L 244 303"/>
+  <text x="247" y="301" style="font-size:2px">7.101</text>
+  <path class="p7" d="M 238 297 L 244 297 L 244 290 L 238 290 L 238 297"/>
+  <text x="241" y="294" style="font-size:2px">7.102</text>
+  <path class="p7" d="M 244 297 L 251 297 L 251 290 L 244 290 L 244 297"/>
+  <text x="247" y="294" style="font-size:2px">7.103</text>
+  <path class="p7" d="M 264 303 L 270 303 L 270 297 L 264 297 L 264 303"/>
+  <text x="267" y="301" style="font-size:2px">7.104</text>
+  <path class="p7" d="M 270 303 L 277 303 L 277 297 L 270 297 L 270 303"/>
+  <text x="274" y="301" style="font-size:2px">7.105</text>
+  <path class="p7" d="M 264 297 L 270 297 L 270 290 L 264 290 L 264 297"/>
+  <text x="267" y="294" style="font-size:2px">7.106</text>
+  <path class="p7" d="M 270 297 L 277 297 L 277 290 L 270 290 L 270 297"/>
+  <text x="274" y="294" style="font-size:2px">7.107</text>
+  <path class="p8" d="M 644 192 L 651 192 L 651 188 L 644 188 L 644 192"/>
+  <text x="648" y="190" style="font-size:1px">8.0</text>
+  <path class="p8" d="M 651 192 L 654 192 L 654 188 L 651 188 L 651 192"/>
+  <text x="653" y="190" style="font-size:1px">8.2</text>
+  <path class="p8" d="M 654 192 L 658 192 L 658 188 L 654 188 L 654 192"/>
+  <text x="656" y="190" style="font-size:1px">8.3</text>
+  <path class="p8" d="M 651 188 L 654 188 L 654 185 L 651 185 L 651 188"/>
+  <text x="653" y="187" style="font-size:1px">8.4</text>
+  <path class="p8" d="M 654 188 L 658 188 L 658 185 L 654 185 L 654 188"/>
+  <text x="656" y="187" style="font-size:1px">8.5</text>
+  <path class="p8" d="M 638 192 L 641 192 L 641 188 L 638 188 L 638 192"/>
+  <text x="639" y="190" style="font-size:1px">8.6</text>
+  <path class="p8" d="M 641 192 L 644 192 L 644 188 L 641 188 L 641 192"/>
+  <text x="643" y="190" style="font-size:1px">8.7</text>
+  <path class="p8" d="M 638 188 L 641 188 L 641 185 L 638 185 L 638 188"/>
+  <text x="639" y="187" style="font-size:1px">8.8</text>
+  <path class="p8" d="M 641 188 L 644 188 L 644 185 L 641 185 L 641 188"/>
+  <text x="643" y="187" style="font-size:1px">8.9</text>
+  <path class="p8" d="M 644 185 L 648 185 L 648 178 L 644 178 L 644 185"/>
+  <text x="646" y="182" style="font-size:1px">8.10</text>
+  <path class="p8" d="M 648 185 L 651 185 L 651 178 L 648 178 L 648 185"/>
+  <text x="649" y="182" style="font-size:1px">8.11</text>
+  <path class="p8" d="M 651 198 L 654 198 L 654 195 L 651 195 L 651 198"/>
+  <text x="653" y="197" style="font-size:1px">8.12</text>
+  <path class="p8" d="M 654 198 L 658 198 L 658 195 L 654 195 L 654 198"/>
+  <text x="656" y="197" style="font-size:1px">8.13</text>
+  <path class="p8" d="M 651 195 L 654 195 L 654 192 L 651 192 L 651 195"/>
+  <text x="653" y="194" style="font-size:1px">8.14</text>
+  <path class="p8" d="M 654 195 L 658 195 L 658 192 L 654 192 L 654 195"/>
+  <text x="656" y="194" style="font-size:1px">8.15</text>
+  <path class="p8" d="M 684 559 L 690 559 L 690 553 L 684 553 L 684 559"/>
+  <text x="687" y="556" style="font-size:1px">8.16</text>
+  <path class="p8" d="M 513 152 L 516 152 L 516 149 L 513 149 L 513 152"/>
+  <text x="515" y="151" style="font-size:1px">8.18</text>
+  <path class="p8" d="M 516 152 L 520 152 L 520 149 L 516 149 L 516 152"/>
+  <text x="518" y="151" style="font-size:1px">8.19</text>
+  <path class="p8" d="M 513 149 L 516 149 L 516 146 L 513 146 L 513 149"/>
+  <text x="515" y="148" style="font-size:1px">8.20</text>
+  <path class="p8" d="M 516 149 L 520 149 L 520 146 L 516 146 L 516 149"/>
+  <text x="518" y="148" style="font-size:1px">8.21</text>
+  <path class="p8" d="M 697 553 L 703 553 L 703 546 L 697 546 L 697 553"/>
+  <text x="700" y="550" style="font-size:1px">8.22</text>
+  <path class="p8" d="M 703 553 L 710 553 L 710 546 L 703 546 L 703 553"/>
+  <text x="707" y="550" style="font-size:1px">8.23</text>
+  <path class="p8" d="M 644 211 L 651 211 L 651 208 L 644 208 L 644 211"/>
+  <text x="648" y="210" style="font-size:1px">8.24</text>
+  <path class="p8" d="M 644 208 L 651 208 L 651 205 L 644 205 L 644 208"/>
+  <text x="648" y="207" style="font-size:1px">8.25</text>
+  <path class="p8" d="M 638 205 L 641 205 L 641 201 L 638 201 L 638 205"/>
+  <text x="639" y="204" style="font-size:1px">8.26</text>
+  <path class="p8" d="M 638 201 L 641 201 L 641 198 L 638 198 L 638 201"/>
+  <text x="639" y="200" style="font-size:1px">8.28</text>
+  <path class="p8" d="M 641 201 L 644 201 L 644 198 L 641 198 L 641 201"/>
+  <text x="643" y="200" style="font-size:1px">8.29</text>
+  <path class="p8" d="M 644 205 L 648 205 L 648 201 L 644 201 L 644 205"/>
+  <text x="646" y="204" style="font-size:1px">8.30</text>
+  <path class="p8" d="M 648 205 L 651 205 L 651 201 L 648 201 L 648 205"/>
+  <text x="649" y="204" style="font-size:1px">8.31</text>
+  <path class="p8" d="M 644 201 L 648 201 L 648 198 L 644 198 L 644 201"/>
+  <text x="646" y="200" style="font-size:1px">8.32</text>
+  <path class="p8" d="M 648 201 L 651 201 L 651 198 L 648 198 L 648 201"/>
+  <text x="649" y="200" style="font-size:1px">8.33</text>
+  <path class="p8" d="M 638 211 L 641 211 L 641 208 L 638 208 L 638 211"/>
+  <text x="639" y="210" style="font-size:1px">8.34</text>
+  <path class="p8" d="M 641 211 L 644 211 L 644 208 L 641 208 L 641 211"/>
+  <text x="643" y="210" style="font-size:1px">8.35</text>
+  <path class="p8" d="M 638 208 L 641 208 L 641 205 L 638 205 L 638 208"/>
+  <text x="639" y="207" style="font-size:1px">8.36</text>
+  <path class="p8" d="M 641 208 L 644 208 L 644 205 L 641 205 L 641 208"/>
+  <text x="643" y="207" style="font-size:1px">8.37</text>
+  <path class="p8" d="M 684 566 L 690 566 L 690 562 L 684 562 L 684 566"/>
+  <text x="687" y="564" style="font-size:1px">8.38</text>
+  <path class="p8" d="M 690 566 L 697 566 L 697 562 L 690 562 L 690 566"/>
+  <text x="694" y="564" style="font-size:1px">8.39</text>
+  <path class="p8" d="M 684 562 L 690 562 L 690 559 L 684 559 L 684 562"/>
+  <text x="687" y="561" style="font-size:1px">8.40</text>
+  <path class="p8" d="M 690 562 L 697 562 L 697 559 L 690 559 L 690 562"/>
+  <text x="694" y="561" style="font-size:1px">8.41</text>
+  <path class="p8" d="M 684 553 L 690 553 L 690 549 L 684 549 L 684 553"/>
+  <text x="687" y="551" style="font-size:1px">8.42</text>
+  <path class="p8" d="M 690 553 L 697 553 L 697 549 L 690 549 L 690 553"/>
+  <text x="694" y="551" style="font-size:1px">8.43</text>
+  <path class="p8" d="M 684 549 L 690 549 L 690 546 L 684 546 L 684 549"/>
+  <text x="687" y="548" style="font-size:1px">8.44</text>
+  <path class="p8" d="M 690 549 L 697 549 L 697 546 L 690 546 L 690 549"/>
+  <text x="694" y="548" style="font-size:1px">8.45</text>
+  <path class="p8" d="M 251 297 L 257 297 L 257 293 L 251 293 L 251 297"/>
+  <text x="254" y="295" style="font-size:1px">8.46</text>
+  <path class="p8" d="M 257 297 L 264 297 L 264 293 L 257 293 L 257 297"/>
+  <text x="260" y="295" style="font-size:1px">8.47</text>
+  <path class="p8" d="M 251 293 L 257 293 L 257 290 L 251 290 L 251 293"/>
+  <text x="254" y="292" style="font-size:1px">8.48</text>
+  <path class="p8" d="M 257 293 L 264 293 L 264 290 L 257 290 L 257 293"/>
+  <text x="260" y="292" style="font-size:1px">8.49</text>
+  <path class="p9" d="M 644 188 L 651 188 L 651 187 L 644 187 L 644 188"/>
+  <text x="648" y="187" style="font-size:0px">9.0</text>
+  <path class="p9" d="M 644 187 L 651 187 L 651 185 L 644 185 L 644 187"/>
+  <text x="648" y="186" style="font-size:0px">9.1</text>
+  <path class="p9" d="M 641 205 L 643 205 L 643 203 L 641 203 L 641 205"/>
+  <text x="642" y="204" style="font-size:0px">9.2</text>
+  <path class="p9" d="M 643 205 L 644 205 L 644 203 L 643 203 L 643 205"/>
+  <text x="644" y="204" style="font-size:0px">9.3</text>
+  <path class="p9" d="M 641 203 L 643 203 L 643 201 L 641 201 L 641 203"/>
+  <text x="642" y="202" style="font-size:0px">9.4</text>
+  <path class="p9" d="M 643 203 L 644 203 L 644 201 L 643 201 L 643 203"/>
+  <text x="644" y="202" style="font-size:0px">9.5</text>
+  <path class="p9" d="M 690 559 L 694 559 L 694 553 L 690 553 L 690 559"/>
+  <text x="692" y="556" style="font-size:0px">9.6</text>
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+  <text x="695" y="556" style="font-size:0px">9.7</text>
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\ No newline at end of file