From fe590eecd29a0b2ae7e76ea61521abef174d7773 Mon Sep 17 00:00:00 2001 From: Jane Tournois Date: Tue, 27 Sep 2022 10:35:22 +0200 Subject: [PATCH] remove outdated headers --- .../CGAL/Mesh_3/add_triple_line_features.h | 213 - .../triple_lines_extraction/cases_table.h | 6598 ----------------- .../triple_lines_extraction/combinations.h | 71 - .../triple_lines_extraction/coordinates.h | 35 - .../Mesh_3/triple_lines_extraction/cube.h | 40 - .../triple_lines_extraction/cube_isometries.h | 63 - .../triple_lines_extraction/triple_lines.h | 668 -- 7 files changed, 7688 deletions(-) delete mode 100644 Mesh_3/include/CGAL/Mesh_3/add_triple_line_features.h delete mode 100644 Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cases_table.h delete mode 100644 Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/combinations.h delete mode 100644 Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/coordinates.h delete mode 100644 Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube.h delete mode 100644 Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube_isometries.h delete mode 100644 Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/triple_lines.h diff --git a/Mesh_3/include/CGAL/Mesh_3/add_triple_line_features.h b/Mesh_3/include/CGAL/Mesh_3/add_triple_line_features.h deleted file mode 100644 index 6a7cc7d9862..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/add_triple_line_features.h +++ /dev/null @@ -1,213 +0,0 @@ -// Copyright (c) 2022 GeometryFactory (France). -// All rights reserved. -// -// This file is part of CGAL (www.cgal.org). -// -// $URL$ -// $Id$ -// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial -// -// -// Author(s) : Sébastien Loriot, Jane Tournois -// -//****************************************************************************** -// -//****************************************************************************** - -#ifndef CGAL_MESH_3_ADD_TRIPLE_LINE_FEATURES_H -#define CGAL_MESH_3_ADD_TRIPLE_LINE_FEATURES_H - -#include - -#include -#include -#include -#include -#include - -#include // undocumented header - -#include - - -// Protect the intersection of the object with the box of the image, -// by declaring 1D-features. Note that `CGAL::polylines_to_protect` is -// not documented. -template -bool add_triple_line_features(const CGAL::Image_3& image, Mesh_domain& domain) -{ - typedef unsigned char Word_type; - - using Gt = typename Mesh_domain::R; - using Point_3 = typename Gt::Point_3; - using Vector_3 = typename Gt::Vector_3; - using Polyline_type = std::vector; - using Polylines = std::vector; - - CGAL::Mesh_3::Triple_line_extractor lines; - - Polylines features_inside; - - const double vx = image.vx(); - const double vy = image.vy(); - const double vz = image.vz(); - const double dist_bound = (std::min)(vx, (std::min)(vy, vz)) / 256; - const double sq_dist_bound = dist_bound * dist_bound; - - const std::size_t xdim = image.xdim(); - const std::size_t ydim = image.ydim(); - const std::size_t zdim = image.zdim(); - - const double tx = image.tx(); - const double ty = image.ty(); - const double tz = image.tz(); - - using CGAL::IMAGEIO::static_evaluate; - - typedef CGAL::Delaunay_triangulation_3 Del; - Del triangulation; - Del::Cell_handle start_cell; - - for (std::size_t k = 0, end_k = zdim - 1; k < end_k; ++k) - for (std::size_t j = 0, end_j = ydim - 1; j < end_j; ++j) - for (std::size_t i = 0, end_i = xdim - 1; i < end_i; ++i) - { - const K::Vector_3 translation{ i * vx + tx, - j * vy + ty, - k * vz + tz }; - const Cube cube = { - static_evaluate(image.image(), i , j , k), - static_evaluate(image.image(), i + 1, j , k), - static_evaluate(image.image(), i , j + 1, k), - static_evaluate(image.image(), i + 1, j + 1, k), - static_evaluate(image.image(), i , j , k + 1), - static_evaluate(image.image(), i + 1, j , k + 1), - static_evaluate(image.image(), i , j + 1, k + 1), - static_evaluate(image.image(), i + 1, j + 1, k + 1), - }; /// TODO: optimize the access to the image data - bool monocolor = cube[0] == cube[1]; - for (int i = 2; i < 8; ++i) monocolor = monocolor && (cube[0] == cube[i]); - if (monocolor) continue; - - std::array inv_color_transformation{ INT_MIN, INT_MIN, INT_MIN, INT_MIN, - INT_MIN, INT_MIN, INT_MIN, INT_MIN }; - std::array color_transformation; - std::fill(color_transformation.begin(), color_transformation.end(), INT_MIN); - int nb_color = 0; - for (int i = 0; i < 8; ++i) { - if (color_transformation[cube[i]] == INT_MIN) { - color_transformation[cube[i]] = nb_color; - inv_color_transformation[nb_color] = cube[i]; - ++nb_color; - } - } - if (nb_color > 3) { - CGAL_warning_msg(nb_color > 3, "voxel with more than 3 colors"); - continue; - } - Cube reference_cube = { - (unsigned char)(color_transformation[cube[0]]), - (unsigned char)(color_transformation[cube[1]]), - (unsigned char)(color_transformation[cube[2]]), - (unsigned char)(color_transformation[cube[3]]), - (unsigned char)(color_transformation[cube[4]]), - (unsigned char)(color_transformation[cube[5]]), - (unsigned char)(color_transformation[cube[6]]), - (unsigned char)(color_transformation[cube[7]]), - }; - auto case_it = find_case(cases, reference_cube); - using std::end; - const bool case_found = (case_it != end(cases)); - if (case_found) reference_cube = combinations[(*case_it)[8]]; - else { - //std::cerr << "Warning: case not found: " << reference_cube << '\n'; - CGAL_error(); - }; -#ifdef CGAL_DEBUG_TRIPLE_LINES - std::cerr << "Cube " << cube << std::endl; - std::cerr << "reference cube " << reference_cube << std::endl; - std::cerr << " with transformation " << cube_isometries[(*case_it)[9]] << "\n"; -#endif // CGAL_DEBUG_TRIPLE_LINES - auto fct_it = lines.create_polylines_fcts.find(reference_cube); - if (fct_it != lines.create_polylines_fcts.end()) { -#ifdef CGAL_DEBUG_TRIPLE_LINES - std::cerr << "Using the function of " << Cube(fct_it->first) << "\n"; -#endif // CGAL_DEBUG_TRIPLE_LINES - Polylines cube_features = (fct_it->second)(10); - if (case_found) { - const Permutation& transformation = cube_isometries[(*case_it)[9]]; - Coordinates a1 = coordinates[transformation[0]]; - Coordinates u = coordinates[transformation[1]] - a1; - Coordinates v = coordinates[transformation[2]] - a1; - Coordinates w = coordinates[transformation[4]] - a1; - const Point_3 pa{ a1[0], a1[1], a1[2] }; - const Vector_3 vu{ u[0], u[1], u[2] }; - const Vector_3 vv{ v[0], v[1], v[2] }; - const Vector_3 vw{ w[0], w[1], w[2] }; -#ifdef CGAL_DEBUG_TRIPLE_LINES - std::cerr << "pa: " << pa << "\n"; - std::cerr << "vu: " << vu << "\n"; - std::cerr << "vv: " << vv << "\n"; - std::cerr << "vw: " << vw << "\n"; -#endif // CGAL_DEBUG_TRIPLE_LINES - for (auto& polyline : cube_features) { - for (auto& point : polyline) { - point = pa - + point.x() * vu - + point.y() * vv - + point.z() * vw; - point = { vx * point.x(), - vy * point.y(), - vz * point.z(), }; - point = point + translation; - } - for (int i = 0; i < 2; ++i) { - K::Point_3& extremity = (i == 0) ? polyline.front() : polyline.back(); - Del::Vertex_handle vh = triangulation.nearest_vertex(extremity, start_cell); - if (Del::Vertex_handle() != vh) { - if (squared_distance(vh->point(), extremity) < sq_dist_bound) { - extremity = vh->point(); - } - } - vh = triangulation.insert(extremity, start_cell); - start_cell = vh->cell(); - } - features_inside.push_back(std::move(polyline)); - } // end loop on polylines - } // end case where the transformation is not the identity - } // end if the reference_cube has polylines - } - - // call the split_graph_into_polylines, to create long polylines from the - // short polylines that were generated per voxel. - Polylines new_polylines_inside; - CGAL::polylines_to_protect(new_polylines_inside, - features_inside.begin(), - features_inside.end()); - - std::vector > polylines_on_bbox; - CGAL::polylines_to_protect(image, polylines_on_bbox, - new_polylines_inside.begin(), - new_polylines_inside.end()); - - domain.add_features(polylines_on_bbox.begin(), polylines_on_bbox.end()); - - // It is very important that the polylines from the file `lines_fname` - // contain only polylines in the inside of the box of the image. - domain.add_features(new_polylines_inside.begin(), new_polylines_inside.end()); - - std::ofstream output_polylines("out-generated.polylines.txt"); - output_polylines.precision(17); - for (auto poly : boost::range::join(polylines_on_bbox, new_polylines_inside)) { - output_polylines << poly.size(); - for (auto p : poly) output_polylines << " " << p; - output_polylines << std::endl; - } - - return true; -} - - - - -#endif //CGAL_MESH_3_ADD_TRIPLE_LINE_FEATURES_H diff --git a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cases_table.h b/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cases_table.h deleted file mode 100644 index fc7e8670169..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cases_table.h +++ /dev/null @@ -1,6598 +0,0 @@ -#ifndef CASES_TABLES_H -#define CASES_TABLES_H - -#include - -#include -#include -#include -#include -#include - -typedef std::array Combination; -typedef boost::hash Hash_combination; - -using Cases = std::array[6561]; - -auto find_case(const Cases& cases, Combination comb) { - using std::begin; - using std::end; - return std::lower_bound(begin(cases), end(cases), - std::array{ - comb[0], - comb[1], - comb[2], - comb[3], - comb[4], - comb[5], - comb[6], - comb[7], - 0, - 0 - }); -}; -const Cases cases = { -{ {0,0,0,0,0,0,0,0, 0, 0} }, -{ {0,0,0,0,0,0,0,1, 1, 0} }, -{ {0,0,0,0,0,0,0,2, 1, 0} }, -{ {0,0,0,0,0,0,1,0, 1, 1} }, -{ {0,0,0,0,0,0,1,1, 2, 0} }, -{ {0,0,0,0,0,0,1,2, 3, 0} }, -{ {0,0,0,0,0,0,2,0, 1, 1} }, -{ {0,0,0,0,0,0,2,1, 3, 1} }, -{ {0,0,0,0,0,0,2,2, 2, 0} }, -{ {0,0,0,0,0,1,0,0, 1, 6} }, -{ {0,0,0,0,0,1,0,1, 2, 18} }, -{ {0,0,0,0,0,1,0,2, 3, 19} }, -{ {0,0,0,0,0,1,1,0, 4, 0} }, -{ {0,0,0,0,0,1,1,1, 5, 0} }, -{ {0,0,0,0,0,1,1,2, 6, 0} }, -{ {0,0,0,0,0,1,2,0, 7, 0} }, -{ {0,0,0,0,0,1,2,1, 8, 0} }, -{ {0,0,0,0,0,1,2,2, 8, 19} }, -{ {0,0,0,0,0,2,0,0, 1, 6} }, -{ {0,0,0,0,0,2,0,1, 3, 18} }, -{ {0,0,0,0,0,2,0,2, 2, 18} }, -{ {0,0,0,0,0,2,1,0, 7, 16} }, -{ {0,0,0,0,0,2,1,1, 8, 19} }, -{ {0,0,0,0,0,2,1,2, 8, 0} }, -{ {0,0,0,0,0,2,2,0, 4, 0} }, -{ {0,0,0,0,0,2,2,1, 6, 0} }, -{ {0,0,0,0,0,2,2,2, 5, 0} }, -{ {0,0,0,0,1,0,0,0, 1, 7} }, -{ {0,0,0,0,1,0,0,1, 4, 1} }, -{ {0,0,0,0,1,0,0,2, 7, 1} }, -{ {0,0,0,0,1,0,1,0, 2, 15} }, -{ {0,0,0,0,1,0,1,1, 5, 1} }, -{ {0,0,0,0,1,0,1,2, 8, 1} }, -{ {0,0,0,0,1,0,2,0, 3, 14} }, -{ {0,0,0,0,1,0,2,1, 6, 1} }, -{ {0,0,0,0,1,0,2,2, 8, 14} }, -{ {0,0,0,0,1,1,0,0, 2, 6} }, -{ {0,0,0,0,1,1,0,1, 5, 18} }, -{ {0,0,0,0,1,1,0,2, 8, 18} }, -{ {0,0,0,0,1,1,1,0, 5, 15} }, -{ {0,0,0,0,1,1,1,1, 9, 0} }, -{ {0,0,0,0,1,1,1,2, 10, 0} }, -{ {0,0,0,0,1,1,2,0, 8, 15} }, -{ {0,0,0,0,1,1,2,1, 10, 1} }, -{ {0,0,0,0,1,1,2,2, 11, 0} }, -{ {0,0,0,0,1,2,0,0, 3, 6} }, -{ {0,0,0,0,1,2,0,1, 6, 18} }, -{ {0,0,0,0,1,2,0,2, 8, 17} }, -{ {0,0,0,0,1,2,1,0, 8, 16} }, -{ {0,0,0,0,1,2,1,1, 10, 18} }, -{ {0,0,0,0,1,2,1,2, 11, 18} }, -{ {0,0,0,0,1,2,2,0, 6, 15} }, -{ {0,0,0,0,1,2,2,1, 12, 0} }, -{ {0,0,0,0,1,2,2,2, 10, 15} }, -{ {0,0,0,0,2,0,0,0, 1, 7} }, -{ {0,0,0,0,2,0,0,1, 7, 17} }, -{ {0,0,0,0,2,0,0,2, 4, 1} }, -{ {0,0,0,0,2,0,1,0, 3, 15} }, -{ {0,0,0,0,2,0,1,1, 8, 14} }, -{ {0,0,0,0,2,0,1,2, 6, 1} }, -{ {0,0,0,0,2,0,2,0, 2, 15} }, -{ {0,0,0,0,2,0,2,1, 8, 1} }, -{ {0,0,0,0,2,0,2,2, 5, 1} }, -{ {0,0,0,0,2,1,0,0, 3, 7} }, -{ {0,0,0,0,2,1,0,1, 8, 17} }, -{ {0,0,0,0,2,1,0,2, 6, 18} }, -{ {0,0,0,0,2,1,1,0, 6, 15} }, -{ {0,0,0,0,2,1,1,1, 10, 15} }, -{ {0,0,0,0,2,1,1,2, 12, 1} }, -{ {0,0,0,0,2,1,2,0, 8, 16} }, -{ {0,0,0,0,2,1,2,1, 11, 15} }, -{ {0,0,0,0,2,1,2,2, 10, 18} }, -{ {0,0,0,0,2,2,0,0, 2, 6} }, -{ {0,0,0,0,2,2,0,1, 8, 18} }, -{ {0,0,0,0,2,2,0,2, 5, 18} }, -{ {0,0,0,0,2,2,1,0, 8, 15} }, -{ {0,0,0,0,2,2,1,1, 11, 16} }, -{ {0,0,0,0,2,2,1,2, 10, 1} }, -{ {0,0,0,0,2,2,2,0, 5, 15} }, -{ {0,0,0,0,2,2,2,1, 10, 0} }, -{ {0,0,0,0,2,2,2,2, 9, 0} }, -{ {0,0,0,1,0,0,0,0, 1, 2} }, -{ {0,0,0,1,0,0,0,1, 2, 12} }, -{ {0,0,0,1,0,0,0,2, 3, 13} }, -{ {0,0,0,1,0,0,1,0, 4, 3} }, -{ {0,0,0,1,0,0,1,1, 5, 21} }, -{ {0,0,0,1,0,0,1,2, 6, 21} }, -{ {0,0,0,1,0,0,2,0, 7, 21} }, -{ {0,0,0,1,0,0,2,1, 8, 21} }, -{ {0,0,0,1,0,0,2,2, 8, 32} }, -{ {0,0,0,1,0,1,0,0, 4, 13} }, -{ {0,0,0,1,0,1,0,1, 5, 13} }, -{ {0,0,0,1,0,1,0,2, 6, 13} }, -{ {0,0,0,1,0,1,1,0, 13, 0} }, -{ {0,0,0,1,0,1,1,1, 14, 0} }, -{ {0,0,0,1,0,1,1,2, 15, 0} }, -{ {0,0,0,1,0,1,2,0, 16, 0} }, -{ {0,0,0,1,0,1,2,1, 17, 0} }, -{ {0,0,0,1,0,1,2,2, 18, 0} }, -{ {0,0,0,1,0,2,0,0, 7, 27} }, -{ {0,0,0,1,0,2,0,1, 8, 40} }, -{ {0,0,0,1,0,2,0,2, 8, 13} }, -{ {0,0,0,1,0,2,1,0, 16, 19} }, -{ {0,0,0,1,0,2,1,1, 17, 19} }, -{ {0,0,0,1,0,2,1,2, 18, 19} }, -{ {0,0,0,1,0,2,2,0, 16, 13} }, -{ {0,0,0,1,0,2,2,1, 18, 13} }, -{ {0,0,0,1,0,2,2,2, 17, 13} }, -{ {0,0,0,1,1,0,0,0, 19, 0} }, -{ {0,0,0,1,1,0,0,1, 20, 0} }, -{ {0,0,0,1,1,0,0,2, 21, 0} }, -{ {0,0,0,1,1,0,1,0, 20, 20} }, -{ {0,0,0,1,1,0,1,1, 22, 0} }, -{ {0,0,0,1,1,0,1,2, 23, 0} }, -{ {0,0,0,1,1,0,2,0, 21, 20} }, -{ {0,0,0,1,1,0,2,1, 23, 20} }, -{ {0,0,0,1,1,0,2,2, 24, 0} }, -{ {0,0,0,1,1,1,0,0, 20, 26} }, -{ {0,0,0,1,1,1,0,1, 22, 19} }, -{ {0,0,0,1,1,1,0,2, 23, 19} }, -{ {0,0,0,1,1,1,1,0, 25, 0} }, -{ {0,0,0,1,1,1,1,1, 5, 5} }, -{ {0,0,0,1,1,1,1,2, 26, 0} }, -{ {0,0,0,1,1,1,2,0, 27, 0} }, -{ {0,0,0,1,1,1,2,1, 28, 0} }, -{ {0,0,0,1,1,1,2,2, 29, 0} }, -{ {0,0,0,1,1,2,0,0, 21, 26} }, -{ {0,0,0,1,1,2,0,1, 23, 41} }, -{ {0,0,0,1,1,2,0,2, 24, 19} }, -{ {0,0,0,1,1,2,1,0, 27, 19} }, -{ {0,0,0,1,1,2,1,1, 28, 19} }, -{ {0,0,0,1,1,2,1,2, 29, 19} }, -{ {0,0,0,1,1,2,2,0, 30, 0} }, -{ {0,0,0,1,1,2,2,1, 31, 0} }, -{ {0,0,0,1,1,2,2,2, 32, 0} }, -{ {0,0,0,1,2,0,0,0, 33, 0} }, -{ {0,0,0,1,2,0,0,1, 34, 0} }, -{ {0,0,0,1,2,0,0,2, 35, 0} }, -{ {0,0,0,1,2,0,1,0, 35, 20} }, -{ {0,0,0,1,2,0,1,1, 28, 39} }, -{ {0,0,0,1,2,0,1,2, 36, 0} }, -{ {0,0,0,1,2,0,2,0, 34, 20} }, -{ {0,0,0,1,2,0,2,1, 37, 0} }, -{ {0,0,0,1,2,0,2,2, 28, 29} }, -{ {0,0,0,1,2,1,0,0, 35, 26} }, -{ {0,0,0,1,2,1,0,1, 28, 22} }, -{ {0,0,0,1,2,1,0,2, 36, 19} }, -{ {0,0,0,1,2,1,1,0, 38, 0} }, -{ {0,0,0,1,2,1,1,1, 17, 22} }, -{ {0,0,0,1,2,1,1,2, 39, 0} }, -{ {0,0,0,1,2,1,2,0, 40, 0} }, -{ {0,0,0,1,2,1,2,1, 41, 0} }, -{ {0,0,0,1,2,1,2,2, 42, 0} }, -{ {0,0,0,1,2,2,0,0, 34, 26} }, -{ {0,0,0,1,2,2,0,1, 37, 19} }, -{ {0,0,0,1,2,2,0,2, 28, 10} }, -{ {0,0,0,1,2,2,1,0, 40, 19} }, -{ {0,0,0,1,2,2,1,1, 41, 19} }, -{ {0,0,0,1,2,2,1,2, 42, 19} }, -{ {0,0,0,1,2,2,2,0, 26, 11} }, -{ {0,0,0,1,2,2,2,1, 43, 0} }, -{ {0,0,0,1,2,2,2,2, 10, 11} }, -{ {0,0,0,2,0,0,0,0, 1, 2} }, -{ {0,0,0,2,0,0,0,1, 3, 12} }, -{ {0,0,0,2,0,0,0,2, 2, 12} }, -{ {0,0,0,2,0,0,1,0, 7, 3} }, -{ {0,0,0,2,0,0,1,1, 8, 32} }, -{ {0,0,0,2,0,0,1,2, 8, 21} }, -{ {0,0,0,2,0,0,2,0, 4, 3} }, -{ {0,0,0,2,0,0,2,1, 6, 21} }, -{ {0,0,0,2,0,0,2,2, 5, 21} }, -{ {0,0,0,2,0,1,0,0, 7, 13} }, -{ {0,0,0,2,0,1,0,1, 8, 13} }, -{ {0,0,0,2,0,1,0,2, 8, 40} }, -{ {0,0,0,2,0,1,1,0, 16, 13} }, -{ {0,0,0,2,0,1,1,1, 17, 13} }, -{ {0,0,0,2,0,1,1,2, 18, 13} }, -{ {0,0,0,2,0,1,2,0, 16, 19} }, -{ {0,0,0,2,0,1,2,1, 18, 19} }, -{ {0,0,0,2,0,1,2,2, 17, 19} }, -{ {0,0,0,2,0,2,0,0, 4, 13} }, -{ {0,0,0,2,0,2,0,1, 6, 13} }, -{ {0,0,0,2,0,2,0,2, 5, 13} }, -{ {0,0,0,2,0,2,1,0, 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24, 19} }, -{ {2,2,2,1,1,0,2,1, 23, 41} }, -{ {2,2,2,1,1,0,2,2, 21, 26} }, -{ {2,2,2,1,1,1,0,0, 29, 0} }, -{ {2,2,2,1,1,1,0,1, 28, 0} }, -{ {2,2,2,1,1,1,0,2, 27, 0} }, -{ {2,2,2,1,1,1,1,0, 26, 0} }, -{ {2,2,2,1,1,1,1,1, 5, 5} }, -{ {2,2,2,1,1,1,1,2, 25, 11} }, -{ {2,2,2,1,1,1,2,0, 23, 19} }, -{ {2,2,2,1,1,1,2,1, 22, 31} }, -{ {2,2,2,1,1,1,2,2, 20, 26} }, -{ {2,2,2,1,1,2,0,0, 24, 0} }, -{ {2,2,2,1,1,2,0,1, 23, 20} }, -{ {2,2,2,1,1,2,0,2, 21, 20} }, -{ {2,2,2,1,1,2,1,0, 23, 0} }, -{ {2,2,2,1,1,2,1,1, 22, 4} }, -{ {2,2,2,1,1,2,1,2, 20, 20} }, -{ {2,2,2,1,1,2,2,0, 21, 0} }, -{ {2,2,2,1,1,2,2,1, 20, 0} }, -{ {2,2,2,1,1,2,2,2, 19, 0} }, -{ {2,2,2,1,2,0,0,0, 17, 13} }, -{ {2,2,2,1,2,0,0,1, 18, 13} }, -{ {2,2,2,1,2,0,0,2, 16, 13} }, -{ {2,2,2,1,2,0,1,0, 18, 19} }, -{ {2,2,2,1,2,0,1,1, 17, 19} }, -{ {2,2,2,1,2,0,1,2, 16, 19} }, -{ {2,2,2,1,2,0,2,0, 8, 13} }, -{ {2,2,2,1,2,0,2,1, 8, 40} }, -{ {2,2,2,1,2,0,2,2, 7, 13} }, -{ {2,2,2,1,2,1,0,0, 18, 0} }, -{ {2,2,2,1,2,1,0,1, 17, 0} }, -{ {2,2,2,1,2,1,0,2, 16, 0} }, -{ {2,2,2,1,2,1,1,0, 15, 0} }, -{ {2,2,2,1,2,1,1,1, 14, 5} }, -{ {2,2,2,1,2,1,1,2, 13, 0} }, -{ {2,2,2,1,2,1,2,0, 6, 13} }, -{ {2,2,2,1,2,1,2,1, 5, 13} }, -{ {2,2,2,1,2,1,2,2, 4, 13} }, -{ {2,2,2,1,2,2,0,0, 8, 32} }, -{ {2,2,2,1,2,2,0,1, 8, 21} }, -{ {2,2,2,1,2,2,0,2, 7, 3} }, -{ {2,2,2,1,2,2,1,0, 6, 21} }, -{ {2,2,2,1,2,2,1,1, 5, 21} }, -{ {2,2,2,1,2,2,1,2, 4, 3} }, -{ {2,2,2,1,2,2,2,0, 3, 12} }, -{ {2,2,2,1,2,2,2,1, 2, 12} }, -{ {2,2,2,1,2,2,2,2, 1, 2} }, -{ {2,2,2,2,0,0,0,0, 9, 4} }, -{ {2,2,2,2,0,0,0,1, 10, 0} }, -{ {2,2,2,2,0,0,0,2, 5, 15} }, -{ {2,2,2,2,0,0,1,0, 10, 1} }, -{ {2,2,2,2,0,0,1,1, 11, 0} }, -{ {2,2,2,2,0,0,1,2, 8, 15} }, -{ {2,2,2,2,0,0,2,0, 5, 18} }, -{ {2,2,2,2,0,0,2,1, 8, 18} }, -{ {2,2,2,2,0,0,2,2, 2, 6} }, -{ {2,2,2,2,0,1,0,0, 10, 18} }, -{ {2,2,2,2,0,1,0,1, 11, 18} }, -{ {2,2,2,2,0,1,0,2, 8, 16} }, -{ {2,2,2,2,0,1,1,0, 12, 0} }, -{ {2,2,2,2,0,1,1,1, 10, 15} }, -{ {2,2,2,2,0,1,1,2, 6, 15} }, -{ {2,2,2,2,0,1,2,0, 6, 18} }, -{ {2,2,2,2,0,1,2,1, 8, 17} }, -{ {2,2,2,2,0,1,2,2, 3, 6} }, -{ {2,2,2,2,0,2,0,0, 5, 1} }, -{ {2,2,2,2,0,2,0,1, 8, 1} }, -{ {2,2,2,2,0,2,0,2, 2, 15} }, -{ {2,2,2,2,0,2,1,0, 6, 1} }, -{ {2,2,2,2,0,2,1,1, 8, 14} }, -{ {2,2,2,2,0,2,1,2, 3, 14} }, -{ {2,2,2,2,0,2,2,0, 4, 1} }, -{ {2,2,2,2,0,2,2,1, 7, 1} }, -{ {2,2,2,2,0,2,2,2, 1, 7} }, -{ {2,2,2,2,1,0,0,0, 10, 15} }, -{ {2,2,2,2,1,0,0,1, 12, 1} }, -{ {2,2,2,2,1,0,0,2, 6, 15} }, -{ {2,2,2,2,1,0,1,0, 11, 15} }, -{ {2,2,2,2,1,0,1,1, 10, 18} }, -{ {2,2,2,2,1,0,1,2, 8, 16} }, -{ {2,2,2,2,1,0,2,0, 8, 17} }, -{ {2,2,2,2,1,0,2,1, 6, 18} }, -{ {2,2,2,2,1,0,2,2, 3, 7} }, -{ {2,2,2,2,1,1,0,0, 11, 16} }, -{ {2,2,2,2,1,1,0,1, 10, 1} }, -{ {2,2,2,2,1,1,0,2, 8, 15} }, -{ {2,2,2,2,1,1,1,0, 10, 0} }, -{ {2,2,2,2,1,1,1,1, 9, 4} }, -{ {2,2,2,2,1,1,1,2, 5, 15} }, -{ {2,2,2,2,1,1,2,0, 8, 18} }, -{ {2,2,2,2,1,1,2,1, 5, 18} }, -{ {2,2,2,2,1,1,2,2, 2, 6} }, -{ {2,2,2,2,1,2,0,0, 8, 14} }, -{ {2,2,2,2,1,2,0,1, 6, 1} }, -{ {2,2,2,2,1,2,0,2, 3, 15} }, -{ {2,2,2,2,1,2,1,0, 8, 1} }, -{ {2,2,2,2,1,2,1,1, 5, 1} }, -{ {2,2,2,2,1,2,1,2, 2, 15} }, -{ {2,2,2,2,1,2,2,0, 7, 17} }, -{ {2,2,2,2,1,2,2,1, 4, 1} }, -{ {2,2,2,2,1,2,2,2, 1, 7} }, -{ {2,2,2,2,2,0,0,0, 5, 0} }, -{ {2,2,2,2,2,0,0,1, 6, 0} }, -{ {2,2,2,2,2,0,0,2, 4, 0} }, -{ {2,2,2,2,2,0,1,0, 8, 0} }, -{ {2,2,2,2,2,0,1,1, 8, 19} }, -{ {2,2,2,2,2,0,1,2, 7, 0} }, -{ {2,2,2,2,2,0,2,0, 2, 18} }, -{ {2,2,2,2,2,0,2,1, 3, 19} }, -{ {2,2,2,2,2,0,2,2, 1, 6} }, -{ {2,2,2,2,2,1,0,0, 8, 19} }, -{ {2,2,2,2,2,1,0,1, 8, 0} }, -{ {2,2,2,2,2,1,0,2, 7, 16} }, -{ {2,2,2,2,2,1,1,0, 6, 0} }, -{ {2,2,2,2,2,1,1,1, 5, 0} }, -{ {2,2,2,2,2,1,1,2, 4, 0} }, -{ {2,2,2,2,2,1,2,0, 3, 18} }, -{ {2,2,2,2,2,1,2,1, 2, 18} }, -{ {2,2,2,2,2,1,2,2, 1, 6} }, -{ {2,2,2,2,2,2,0,0, 2, 0} }, -{ {2,2,2,2,2,2,0,1, 3, 0} }, -{ {2,2,2,2,2,2,0,2, 1, 1} }, -{ {2,2,2,2,2,2,1,0, 3, 1} }, -{ {2,2,2,2,2,2,1,1, 2, 0} }, -{ {2,2,2,2,2,2,1,2, 1, 1} }, -{ {2,2,2,2,2,2,2,0, 1, 0} }, -{ {2,2,2,2,2,2,2,1, 1, 0} }, -{ {2,2,2,2,2,2,2,2, 0, 0} }, -}; - -#endif // CASES_TABLE_H diff --git a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/combinations.h b/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/combinations.h deleted file mode 100644 index be0bf59c45a..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/combinations.h +++ /dev/null @@ -1,71 +0,0 @@ -#ifndef COMBINATIONS_H -#define COMBINATIONS_H - -#include - -#include - -typedef std::array Cube; - -const Cube combinations[] = { -0,0,0,0,0,0,0,0, -0,0,0,0,0,0,0,1, -0,0,0,0,0,0,1,1, -0,0,0,0,0,0,1,2, -0,0,0,0,0,1,1,0, -0,0,0,0,0,1,1,1, -0,0,0,0,0,1,1,2, -0,0,0,0,0,1,2,0, -0,0,0,0,0,1,2,1, -0,0,0,0,1,1,1,1, -0,0,0,0,1,1,1,2, -0,0,0,0,1,1,2,2, -0,0,0,0,1,2,2,1, -0,0,0,1,0,1,1,0, -0,0,0,1,0,1,1,1, -0,0,0,1,0,1,1,2, -0,0,0,1,0,1,2,0, -0,0,0,1,0,1,2,1, -0,0,0,1,0,1,2,2, -0,0,0,1,1,0,0,0, -0,0,0,1,1,0,0,1, -0,0,0,1,1,0,0,2, -0,0,0,1,1,0,1,1, -0,0,0,1,1,0,1,2, -0,0,0,1,1,0,2,2, -0,0,0,1,1,1,1,0, -0,0,0,1,1,1,1,2, -0,0,0,1,1,1,2,0, -0,0,0,1,1,1,2,1, -0,0,0,1,1,1,2,2, -0,0,0,1,1,2,2,0, -0,0,0,1,1,2,2,1, -0,0,0,1,1,2,2,2, -0,0,0,1,2,0,0,0, -0,0,0,1,2,0,0,1, -0,0,0,1,2,0,0,2, -0,0,0,1,2,0,1,2, -0,0,0,1,2,0,2,1, -0,0,0,1,2,1,1,0, -0,0,0,1,2,1,1,2, -0,0,0,1,2,1,2,0, -0,0,0,1,2,1,2,1, -0,0,0,1,2,1,2,2, -0,0,0,1,2,2,2,1, -0,0,1,1,1,1,0,0, -0,0,1,1,1,1,0,2, -0,0,1,1,1,1,2,2, -0,0,1,1,1,2,0,2, -0,0,1,1,1,2,2,0, -0,0,1,2,1,2,0,0, -0,0,1,2,1,2,0,1, -0,0,1,2,1,2,2,1, -0,0,1,2,2,1,0,0, -0,0,1,2,2,1,0,1, -0,1,1,0,1,0,0,1, -0,1,1,0,1,0,0,2, -0,1,1,0,1,2,2,1, -0,1,1,2,1,2,2,0, -}; - -#endif // COMBINATIONS_H diff --git a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/coordinates.h b/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/coordinates.h deleted file mode 100644 index ac0c019009e..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/coordinates.h +++ /dev/null @@ -1,35 +0,0 @@ -#ifndef COORDINATES_H -#define COORDINATES_H - -#include - -#include - -typedef std::array Coordinates; -constexpr Coordinates coordinates[8] = { 0, 0, 0, - 1, 0, 0, - 0, 1, 0, - 1, 1, 0, - 0, 0, 1, - 1, 0, 1, - 0, 1, 1, - 1, 1, 1 }; - -Coordinates operator-(Coordinates b, Coordinates a) { - return { b[0]-a[0], b[1]-a[1], b[2]-a[2] }; -} - -Coordinates cross(Coordinates a, Coordinates b) { - return { a[1]*b[2]-a[2]*b[1], a[2]*b[0]-a[0]*b[2], a[0]*b[1]-a[1]*b[0] }; -} - -Coordinates square(Coordinates c) { - return { c[0]*c[0], c[1]*c[1], c[2]*c[2] }; -} - -int dist(Coordinates a, Coordinates b) { - auto s = square(b - a); - return s[0] + s[1] + s[2]; -} - -#endif // COORDINATES_H diff --git a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube.h b/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube.h deleted file mode 100644 index 0c164defd39..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube.h +++ /dev/null @@ -1,40 +0,0 @@ -#ifndef CUBE_H -#define CUBE_H - -#include - -#include -#include -#include -#include - -typedef std::array Cube; - -inline constexpr Cube convert_to_cube(unsigned int n) { - assert(n < (1<<24)); - return { - (unsigned char)((n & 070000000)>>21), (unsigned char)((n & 007000000)>>18), - (unsigned char)((n & 000700000)>>15), (unsigned char)((n & 000070000)>>12), - (unsigned char)((n & 000007000)>> 9), (unsigned char)((n & 000000700)>> 6), - (unsigned char)((n & 000000070)>> 3), (unsigned char)((n & 000000007)>> 0), - }; -} - -// User-defined literal operator. Given an integer in octal notation, like -// 01234567, gives the cube with the same colors. For example, `01234567_c` -// is `Cube{0, 1, 2, 3, 4, 5, 6, 7}`. -inline constexpr Cube operator"" _c ( unsigned long long n ) -{ - assert(n < (1<<24)); - return convert_to_cube(unsigned(n)); -} - -inline std::string config_name(const Cube cube) { - std::stringstream filename_prefix_ss; - for(int j = 0; j < 8; ++j) { - filename_prefix_ss << int(cube[j]); - } - return filename_prefix_ss.str(); -} - -#endif // CUBE_H diff --git a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube_isometries.h b/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube_isometries.h deleted file mode 100644 index b0f53a2456c..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/cube_isometries.h +++ /dev/null @@ -1,63 +0,0 @@ -#ifndef CUBE_ISOMETRIES_H -#define CUBE_ISOMETRIES_H - -#include - -#include - -typedef std::array Permutation; - -Permutation cube_isometries[] = { -0,1,2,3,4,5,6,7, -1,0,3,2,5,4,7,6, -4,5,0,1,6,7,2,3, -5,4,1,0,7,6,3,2, -6,7,4,5,2,3,0,1, -7,6,5,4,3,2,1,0, -2,3,6,7,0,1,4,5, -3,2,7,6,1,0,5,4, -1,5,3,7,0,4,2,6, -5,1,7,3,4,0,6,2, -5,4,7,6,1,0,3,2, -4,5,6,7,0,1,2,3, -4,0,6,2,5,1,7,3, -0,4,2,6,1,5,3,7, -1,3,0,2,5,7,4,6, -3,1,2,0,7,5,6,4, -3,2,1,0,7,6,5,4, -2,3,0,1,6,7,4,5, -2,0,3,1,6,4,7,5, -0,2,1,3,4,6,5,7, -1,0,5,4,3,2,7,6, -0,1,4,5,2,3,6,7, -7,3,5,1,6,2,4,0, -3,7,1,5,2,6,0,4, -7,6,3,2,5,4,1,0, -6,7,2,3,4,5,0,1, -2,6,0,4,3,7,1,5, -6,2,4,0,7,3,5,1, -4,6,5,7,0,2,1,3, -6,4,7,5,2,0,3,1, -7,5,6,4,3,1,2,0, -5,7,4,6,1,3,0,2, -0,4,1,5,2,6,3,7, -4,0,5,1,6,2,7,3, -3,1,7,5,2,0,6,4, -1,3,5,7,0,2,4,6, -5,7,1,3,4,6,0,2, -7,5,3,1,6,4,2,0, -3,7,2,6,1,5,0,4, -7,3,6,2,5,1,4,0, -0,2,4,6,1,3,5,7, -2,0,6,4,3,1,7,5, -5,1,4,0,7,3,6,2, -1,5,0,4,3,7,2,6, -6,2,7,3,4,0,5,1, -2,6,3,7,0,4,1,5, -6,4,2,0,7,5,3,1, -4,6,0,2,5,7,1,3, -}; - -constexpr int num_isometries = 48; - -#endif // CUBE_ISOMETRIES_H diff --git a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/triple_lines.h b/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/triple_lines.h deleted file mode 100644 index 48eaee195a0..00000000000 --- a/Mesh_3/include/CGAL/Mesh_3/triple_lines_extraction/triple_lines.h +++ /dev/null @@ -1,668 +0,0 @@ -#ifndef CGAL_MESH_3_TRIPLE_LINES_H -#define CGAL_MESH_3_TRIPLE_LINES_H - -#include - -#include -#include - -#include - -#include -#include - -#include - -namespace CGAL -{ -namespace Mesh_3 -{ - -using K = CGAL::Exact_predicates_inexact_constructions_kernel; -using P = CGAL::Point_3; -using Polylines = std::vector >; - -template -std::vector

create_polyline(const double start, - const double end, - P starting_point, - P ending_point, - Functor f, - const int prec) -{ - using Polyline = std::vector

; - Polyline poly; - poly.reserve(prec + 1); - poly.push_back(std::move(starting_point)); -#ifdef CGAL_DEBUG_TRIPLE_LINES - std::cerr << "new poly\n"; - std::cerr << " poly.push_back(" << poly.back() << "\n"; -#endif // CGAL_DEBUG_TRIPLE_LINES - const double step = (end - start) / prec; - const double stop = end - step / 2; - const bool step_is_positive = (step > 0); - for (double t = start + step; - (step_is_positive ? t < stop : t > stop); - t += step) - { - poly.push_back(f(t)); -#ifdef CGAL_DEBUG_TRIPLE_LINES - std::cerr << " poly.push_back(" << poly.back() << ")\n"; -#endif // CGAL_DEBUG_TRIPLE_LINES - } - poly.push_back(std::move(ending_point)); -#ifdef CGAL_DEBUG_TRIPLE_LINES - std::cerr << " poly.push_back(" << poly.back() << ")\n"; -#endif // CGAL_DEBUG_TRIPLE_LINES - return poly; -} - -template -std::vector

create_polyline(const double start, - const double end, - P starting_point, - Functor f, - const int prec) -{ - return create_polyline(start, end, starting_point, f(end), f, prec); -} - -template -std::vector

create_polyline(const double start, - const double end, - Functor f, - const int prec) -{ - return create_polyline(start, end, f(start), f(end), f, prec); -} - - -/* - c6 ------- c7 - /| /| - / | / | - / | / | - c4 ------- c5 | - | c2 ----|-- c3 - | / | / - | / | / - |/ |/ - c0 ------- c1 - - ci = color at the corner - - The coordinates of the unit cube are given by: - - for(int z = 0; z <=1 ; ++z) - for(int y = 0; y <=1 ; ++y) - for(int x = 0; x <=1 ; ++x) - cube.emplace_back(x, y, z); -*/ - - -// -// One internal corner -// - - // 00001221 - // corner is (1/2,1/2,2/3) - // curve_1 : x=1/2, y=[0,1/2], z=2/3 - // curve_1' : x=1/2, y=[1/2,1], z=2/3 - // curve_2 : x=[0,1/2], y=1/2, z=2/3 - // curve_2' : x=[1/2,1], y=1/2, z=2/3 - // curve_3 : x=1/2, y=1/2, z=[2/3,1] -Polylines poly00001221(const int /* no sampling for segments */) -{ - P corner{ 1. / 2, 1. / 2, 2. / 3 }; - P a{ 1. / 2, 0, 2. / 3 }; - P b{ 1. / 2, 1, 2. / 3 }; - P c{ 0, 1. / 2, 2. / 3 }; - P d{ 1, 1. / 2, 2. / 3 }; - P e{ 1, 1. / 2, 1 }; - - return - { - { a, corner}, // segment curve_1 - { corner, b}, // segment curve_1' - { corner, c}, // segment curve_2 - { corner, d}, // segment curve_2' - { corner, e}, // segment curve_3 - }; -} -// 00111202 -// corner is (1/2,1/2,2/3) -// curve_1 : x=1/2,y=[0,1/2],z=2/3 -// curve_1' : x=1/2,y=[1/2,1],z=2/3 -// curve_2 : x=1/(3*z),y=1/2,z=[2/3,1] -// ADDED curve_2' : x=1/(3*z),y=1/2,z=[1/3,2/3] -// curve_3 : x=(2*z−1)/z,y=1/2, z=[1/2,2/3] -// REMOVED curve_3' : x=(2*z−1)/z,y=1/2, z=[2/3,1] -Polylines poly00111202(const int prec = 10) -{ - P a{ 1. / 2, 0. , 2. / 3 }; - P corner{ 1. / 2, 1. / 2, 2. / 3 }; - P b{ 1. / 2, 1. , 2. / 3 }; - - auto f_curve_2 = [](double z) { return P(1. / (3 * z), 1. / 2, z); }; - auto f_curve_3 = [](double z) { return P((2. * z - 1) / z, 1. / 2, z); }; - - return - { - { a, corner}, // segment curve_1 - { corner, b}, // segment curve_1' - create_polyline(2. / 3, 1 , corner, f_curve_2, prec), // curve_2 - create_polyline(2. / 3, 1. / 3, corner, f_curve_2, prec), // curve_2' ADDED - create_polyline(2. / 3, 1. / 2, corner, f_curve_3, prec), // curve_3 - // create_polyline(2./3, 1. , corner, f_curve_3, prec), // curve_3' REMOVED - }; -} - -// 01101001 -// corner is (1/2,1/2,1/2) -// curve_1 : x=1/2, y=1/2, z=[0,1/2] -// curve_1' : x=1/2, y=1/2, z=[1/2,1] -// curve_2 : x=1/2, y=[0,1/2], z=1/2 -// curve_2' : x=1/2, y=[1/2,1], z=1/2 -// curve_3 : x=[0,1/2], y=1/2, z=1/2 -// curve_3' : x=[1/2,1], y=1/2, z=1/2 -Polylines poly01101001(const int /* no sampling for segments */) -{ - P corner{ 1. / 2, 1. / 2, 1. / 2 }; - P a{ 1. / 2, 1. / 2, 0 }; - P b{ 1. / 2, 1. / 2, 1 }; - P c{ 1. / 2, 0, 1. / 2 }; - P d{ 1. / 2, 1, 1. / 2 }; - P e{ 0, 1. / 2, 1. / 2 }; - P f{ 1, 1. / 2, 1. / 2 }; - - return - { - { a, corner}, // segment curve_1 - { corner, b}, // segment curve_1' - { corner, c}, // segment curve_2 - { corner, d}, // segment curve_2' - { corner, e}, // segment curve_3 - { corner, f}, // segment curve_3' - }; -} - -// -// Two curves -// -Polylines poly00011022(const int prec = 10) -{ - // x = (3*z^2-2*z)/(3*z^2-1), y = 1/(3*z), z = [1/3,1/2] - // x = (3*z^2-2*z)/(3*z^2-1), y = 1/(3*z), z = [2/3,1] - auto f = [](double z) {return P(z * (3 * z - 2) / (3 * z * z - 1), - 1 / (3 * z), - z); }; - return { - create_polyline(1. / 3, 1. / 2, f, prec), - create_polyline(2. / 3, 1. , f, prec), - }; -} - -// 00011221 -// curve_1 : x = ]1/2,1], y = (3 * x * x - sqrt(9 * x * x * x * x - 30 * x * x * x + 45 * x * x - 24 * x + 4) + 3 * x - 2)/(6 * x * (2 * x - 1)), z = 1./(3*x+3*y-6*x*y) -// point limit x = 1/2, y = 0, z = 2/3 -// curve_2 : x = ]0,1/3], y = (3 * x * x + sqrt(9 * x * x * x * x - 30 * x * x * x + 45 * x * x - 24 * x + 4) + 3 * x - 2)/(6 * x * (2 * x - 1)), z = 1./(3*x+3*y-6*x*y) -// point limit x = 0, y = 1/2, z = 2/3 -Polylines poly00011221(const int prec = 10) -{ - auto sq_exp = [](double x) { - return sqrt(9 * x * x * x * x - 30 * x * x * x + 45 * x * x - 24 * x + 4); - }; - auto y1 = [sq_exp](double x) { return (3 * x * x - sq_exp(x) + 3 * x - 2) / (6 * x * (2 * x - 1)); }; - P corner1 = { 1. / 2, 0, 2. / 3 }; - auto y2 = [sq_exp](double x) { return (3 * x * x + sq_exp(x) + 3 * x - 2) / (6 * x * (2 * x - 1)); }; - P corner2 = { 0, 1. / 2, 2. / 3 }; - auto z = [](double x, double y) { return 1. / (3 * x + 3 * y - 6 * x * y); }; - return { - create_polyline(1. / 2, 1, corner1, - [y1, z](double x) { return P(x, y1(x), z(x, y1(x))); }, - prec), - create_polyline(0, 1. / 3, corner2, - [y2, z](double x) { return P(x, y2(x), z(x, y2(x))); }, - prec) - }; -} - -// 00011222 -// curve_1 : x = ]1/2,1[, y = (3 * x * x - sqrt(9 * x * x * x * x - 18 * x * x * x + 25 *x * x - 16 * x + 4) + x - 2)/(6 * (x - 1) * x), z = 1./(3*x+3*y-3*x*y) -// point limit x = 1/2, y = 1, z=1/3 -// point limit x = 1, y = 1/2, z=1/3 -// curve_2 : x = ]0,1/2], y = (3 * x * x + sqrt(9 * x * x * x * x - 18 * x * x * x + 25 *x * x - 16 * x + 4) + x - 2)/(6 * (x - 1) * x), z = 1./(3*x+3*y-3*x*y) -// point limit x = 0, y=1/2, z=2/3 -Polylines poly00011222(const int prec = 10) -{ - auto sq_exp = [](double x) { - return sqrt(9 * x * x * x * x - 18 * x * x * x + 25 * x * x - 16 * x + 4); - }; - auto y1 = [sq_exp](double x) { return (3 * x * x - sq_exp(x) + x - 2) / (6 * (x - 1) * x); }; - P corner1 = { 1. / 2, 1, 1. / 3 }; - P corner1_bis = { 1, 1. / 2, 1. / 3 }; - auto y2 = [sq_exp](double x) { return (3 * x * x + sq_exp(x) + x - 2) / (6 * (x - 1) * x); }; - P corner2 = { 0, 1. / 2, 2. / 3 }; - auto z = [](double x, double y) { return 1. / (3 * x + 3 * y - 3 * x * y); }; - return { - create_polyline(1. / 2, 1, corner1, corner1_bis, - [y1, z](double x) { return P(x, y1(x), z(x, y1(x))); }, - prec), - create_polyline(0, 1. / 2, corner2, - [y2, z](double x) { return P(x, y2(x), z(x, y2(x))); }, - prec) - }; -} - -// 00121200 -// curve_1 : x = 1/2, y = (3*z-2)/(6*z-3), z = [0,1/3] -// curve_1' : x = 1/2, y = (3*z-2)/(6*z-3), z = [2/3,1] -Polylines poly00121200(const int prec = 10) -{ - auto y = [](double z) { return (3 * z - 2) / (6 * z - 3); }; - return { - create_polyline(0, 1. / 3, - [y](double z) { return P(1. / 2, y(z), z); }, - prec), - create_polyline(2. / 3, 1, - [y](double z) { return P(1. / 2, y(z), z); }, - prec) - }; -} - -// 00121221 -// curve_1 : x = 1/2, y = (3*z-2)/(3*z-3), z = [0,2/3] -// curve_2 : x = 1/2, y = z/(3*z-1), z = [1/2,1] -Polylines poly00121221(const int prec = 10) -{ - auto y1 = [](double z) { return (3 * z - 2) / (3 * z - 3); }; - auto y2 = [](double z) { return z / (3 * z - 1); }; - return { - create_polyline(0, 2. / 3, - [y1](double z) { return P(1. / 2, y1(z), z); }, - prec), - create_polyline(1. / 2, 1, - [y2](double z) { return P(1. / 2, y2(z), z); }, - prec) - }; -} - -// 00122100 -// curve_1 : x = 1/2, y = (3*z-2)/(6*z-3), z = [0,1/3] -// curve_1' : x = 1/2, y = (3*z-2)/(6*z-3), z = [2/3,1] -Polylines poly00122100(const int prec = 10) -{ - auto y = [](double z) { return (3 * z - 2) / (6 * z - 3); }; - return { - create_polyline(0, 1. / 3, - [y](double z) { return P(1. / 2, y(z), z); }, - prec), - create_polyline(2. / 3, 1, - [y](double z) { return P(1. / 2, y(z), z); }, - prec) - }; -} - -// 00122101 -// curve_1 : x = [1/3,1/2] , y = (-sqrt(24 x^3 - 35 x^2 + 18 x - 3) - 5 x + 3)/(6 (x - 1)^2), x^2 - 3 x + 1!=0, -// z = (-sqrt(24 x^3 - 35 x^2 + 18 x - 3) - 7 x + 3)/(6 (x^2 - 3 x + 1)) -// curve_2 : x = [1./2,1[ , y = ( sqrt(24 x^3 - 35 x^2 + 18 x - 3) - 5 x + 3)/(6 (x - 1)^2), -// z = ( sqrt(24 x^3 - 35 x^2 + 18 x - 3) - 7 x + 3)/(6 (x^2 - 3 x + 1)) -// point limit of curve_2 when x -> 1 x = 1, y = 1/2, z = 1/3 -Polylines poly00122101(const int prec = 10) -{ - auto sq_exp = [](double x) { - return sqrt(24 * x * x * x - 35 * x * x + 18 * x - 3); - }; - auto y1 = [sq_exp](double x) { return (-sq_exp(x) - 5 * x + 3) / (6 * CGAL::square(x - 1)); }; - auto z1 = [sq_exp](double x) { return (-sq_exp(x) - 7 * x + 3) / (6 * (x * x - 3 * x + 1)); }; - auto y2 = [sq_exp](double x) { return (sq_exp(x) - 5 * x + 3) / (6 * CGAL::square(x - 1)); }; - auto z2 = [sq_exp](double x) { return (sq_exp(x) - 7 * x + 3) / (6 * (x * x - 3 * x + 1)); }; - P corner{ 1., .5, 1. / 3 }; - return { - create_polyline(1. / 3, 1. / 2, - [y1, z1](double x) { return P(x, y1(x), z1(x)); }, - prec), - create_polyline(1., 1. / 2, corner, - [y2, z2](double x) { return P(x, y2(x), z2(x)); }, - prec), - }; -} - -// -// One curve -// -Polylines poly00000012(const int prec = 10) -{ - // curve : x = 1/2, y = 2/(3*z), z = [2/3,1] - return { create_polyline(2. / 3, 1., - [](double z) { return P(0.5, 2. / (3. * z), z); }, - prec) }; -} - -// 00000112 -// x =[1/2,1], y = x/(3 * x - 1), z = (3 * x - 1)/(3 * x * x) -Polylines poly00000112(const int prec = 10) -{ - return { create_polyline(1. / 2, 1, - [](double x) { return P(x, x / (3 * x - 1), (3 * x - 1) / (3 * x * x)); }, - prec) }; -} - -// 00000121 -// curve : x = 1/(3*z), y = 1/(3*z-1), z = [2/3,1] -Polylines poly00000121(const int prec = 10) -{ - return { create_polyline(2. / 3, 1, - [](double z) { return P(1 / (3 * z), 1 / (3 * z - 1), z); }, - prec) }; -} - -// 00001112 -// curve : x = 1/(2*y), y = [1/2, 1],z = 2/3 -Polylines poly00001112(const int prec = 10) -{ - return { create_polyline(1. / 2, 1, - [](double y) { return P(1 / (2 * y), y, 2. / 3); }, - prec) }; -} - -// 00001122 -// curve : x = [0,1], y = 1/2, z = 2/3 -Polylines poly00001122(const int prec = 10) -{ - return { create_polyline(0, 1, - [](double x) { return P(x, 1. / 2, 2. / 3); }, - prec) }; -} - -// 00010121 -// curve : x =y * z / (z+y), y = ((3 * z * z - 1) - sqrt(CGAL::square(1 - 3 * z * z) - 12 * (z - 1) * z * z))/(6 * (z - 1) * z), z=[1,1/2[ -// point limit = (1/3, 1/2, 1) -Polylines poly00010121(const int prec = 10) -{ - auto y = [](double z) { return ((3 * z * z - 1) - sqrt(CGAL::square(1 - 3 * z * z) - 12 * (z - 1) * z * z)) / (6 * (z - 1) * z); }; - auto x = [](double y, double z) { return y * z / (z + y); }; - P corner(1. / 3, 1. / 2, 1); - return { create_polyline(1, 1. / 2, corner, - [x, y](double z) { return P(x(y(z), z), y(z), z); }, - prec) }; -} - -// 00010122 -// curve : x = z/(3*z^2-2*z+1), y = 1/(3*z), z = [1/3,1] -Polylines poly00010122(const int prec = 10) -{ - return { create_polyline(1. / 3, 1, - [](double z) { return P(z / (3 * z * z - 2 * z + 1), 1. / (3 * z), z); }, - prec) }; -} -// 00011002 -// curve : x = (y+1)/(4*y-1), y = [2/3,1], z = 1/2 -Polylines poly00011002(const int prec = 10) -{ - return { create_polyline(2. / 3, 1, - [](double y) { return P((y + 1) / (4 * y - 1), y, 1. / 2); }, - prec) }; -} -// 00011012 -// curve : x = (3*z^2-2*z+1)/(3*z^2), y = z/(3*z^2-2*z+1), z = [1/2, 1] -Polylines poly00011012(const int prec = 10) -{ - return { create_polyline(1. / 2, 1, - [](double z) { return P((3 * z * z - 2 * z + 1) / (3 * z * z), z / (3 * z * z - 2 * z + 1), z); }, - prec) }; -} -// 00011110 -// curve : x = 1/(2*y), y = [1/2,1], z = 1/2 -Polylines poly00011110(const int prec = 10) -{ - return { create_polyline(1. / 2, 1, - [](double y) { return P(1. / (2 * y), y, 1. / 2); }, - prec) }; -} -// 00011120 -// curve : x = (3*z^2-2*z)/(3*z^2-1), y = (3*z^2-1)/(6*z^2-3*z), z = [2/3,1] -Polylines poly00011120(const int prec = 10) -{ - return { create_polyline(2. / 3, 1, - [](double z) { return P((3 * z * z - 2 * z) / (3 * z * z - 1), (3 * z * z - 1) / (6 * z * z - 3 * z), z); }, - prec) }; -} -// 00011121 -// curve : x = (3*z^2-2*z)/(3*z^2-z-1), y = (3*z^2-z-1)/(3*z^2-3*z), z =[1/2,2./3] -Polylines poly00011121(const int prec = 10) -{ - return { create_polyline(1. / 2, 2. / 3, - [](double z) { return P((3 * z * z - 2 * z) / (3 * z * z - z - 1), (3 * z * z - z - 1) / (3 * z * z - 3 * z), z); }, - prec) }; -} -// 00011122 -// curve : x = (3*z*z-2*z)/(z-1),y = 1/(3*z),z = [1/3, 2/3] -// -Polylines poly00011122(const int prec = 10) -{ - return { create_polyline(1. / 3,2. / 3, - [](double z) { return P((3 * z * z - 2 * z) / (z - 1), 1 / (3 * z), z); }, - prec) }; -} - -// 00011220 -// curve : x=[0,1/2], y = (2 * x - 1)/(3 * x - 2), z = (2 * (x^2 - 2 * x + 1))/(5 * x^2 - 7 * x + 3) -Polylines poly00011220(const int prec = 10) -{ - return { create_polyline(0, 1. / 2, - [](double x) { return P(x, (2 * x - 1) / (3 * x - 2), (2 * (x * x - 2 * x + 1)) / (5 * x * x - 7 * x + 3)); }, - prec) }; -} -// 00012002 -// curve_1 : x = [2/3,1], y = (3 * x*x + sqrt(9 * x*x*x*x - 24 * x*x*x + 30 * x*x - 12 * x + 1) - 1)/(6 * x * (2 * x - 1)), z = 1 - 1./(3*x*y) -Polylines poly00012002(const int prec = 10) -{ - auto y = [](double x) { return (3 * x * x + sqrt(9 * x * x * x * x - 24 * x * x * x + 30 * x * x - 12 * x + 1) - 1) / (6 * x * (2 * x - 1)); }; - return { create_polyline(2. / 3, 1, - [y](double x) { return P(x, y(x), 1 - 1. / (3 * x * y(x))); }, - prec) }; -} -// 00012012 -// curve_1 : x = [0, 1/2[ , y = 1./(-6*x*z+3*x+3*z), z = (3 *x*x + sqrt(9 *x*x*x*x - 18 *x*x*x + 25 *x*x - 16 * x + 4) - 7 * x + 2)/(6 *(x - 1) * (2 * x - 1)) -// curve_1 : x = ]1/2,1[, y = 1./(-6*x*z+3*x+3*z), z = (3 *x*x + sqrt(9 *x*x*x*x - 18 *x*x*x + 25 *x*x - 16 * x + 4) - 7 * x + 2)/(6 *(x - 1) * (2 * x - 1)) -// point limit x = 1, y = 2/3, z = 1/2 -// point limit x = 1/2, y= 2./3, z = 2./3); -// -Polylines poly00012012(const int prec = 10) -{ - auto y = [](double x, double z) { return 1. / (-6 * x * z + 3 * x + 3 * z); }; - auto z = [](double x) { return (3 * x * x + sqrt(9 * x * x * x * x - 18 * x * x * x + 25 * x * x - 16 * x + 4) - 7 * x + 2) / (6 * (x - 1) * (2 * x - 1)); }; - P corner1(1. / 2, 2. / 3, 2. / 3); - P corner2(1, 2. / 3, 1. / 2); - return { create_polyline(1. / 2, 0, corner1, - [y, z](double x) { return P(x, y(x, z(x)), z(x)); }, - prec), - create_polyline(1. / 2, 1, corner1, corner2, - [y, z](double x) { return P(x, y(x, z(x)), z(x)); }, - prec) - }; -} -// 00012021 -// curve : x = (3*z-1)/(3*z), y = z/(3*z-1), z = [1/2,1] -Polylines poly00012021(const int prec = 10) -{ - return { create_polyline(1. / 2, 1, - [](double z) { return P((3 * z - 1) / (3 * z), z / (3 * z - 1), z); }, - prec) }; -} -// 00012110 -// curve : x=]0,1/2], y = (3 * x * x + sqrt(9 * x * x * x * x - 18 * x * x * x + 25 * x * x - 16 * x + 4) + x - 2)/(6 * (x - 1) * x), z = (3*x*y-1)/(9*x*y-3*x-3*y) -// point limit : x = 0, y = 1/2, z = 2/3 -// -Polylines poly00012110(const int prec = 10) -{ - auto y = [](double x) { return (3 * x * x + sqrt(9 * x * x * x * x - 18 * x * x * x + 25 * x * x - 16 * x + 4) + x - 2) / (6 * (x - 1) * x); }; - auto z = [](double x, double y) { return (3 * x * y - 1) / (9 * x * y - 3 * x - 3 * y); }; - P corner(0, 1. / 2, 2. / 3); - return { create_polyline(0, 1. / 2, corner, - [y, z](double x) { return P(x, y(x), z(x, y(x))); }, - prec) }; -} -// 00012112 -// x = ]0,1/2[, y = (3 * x*x + sqrt(9 * x * x * x * x - 36 * x * x * x + 40 * x * x - 20 * x + 4) + 2 * x - 2)/(6 * x * (2 * x - 1)), z = (3*x*y-1)/(9*x*y-3*x-3*y) -// point limit x = 0, y = 1/2, z = 2/3 -// point limit x = 1/2, y = 0, z = 2/3 -// -Polylines poly00012112(const int prec = 10) -{ - auto y = [](double x) { return (3 * x * x + sqrt(9 * x * x * x * x - 36 * x * x * x + 40 * x * x - 20 * x + 4) + 2 * x - 2) / (6 * x * (2 * x - 1)); }; - auto z = [](double x, double y) { return (3 * x * y - 1) / (9 * x * y - 3 * x - 3 * y); }; - P corner1(0, 1. / 2, 2. / 3); - P corner2(1. / 2, 0, 2. / 3); - return { create_polyline(0, 1. / 2, corner1, corner2, - [y, z](double x) { return P(x, y(x), z(x, y(x))); }, - prec) }; -} - -// 00012120 -// curve : x = (3*z-1)/(3*z), y = (3*z^2-2*z)/(6*z^2-5*z+1), z = [2/3,1] -Polylines poly00012120(const int prec = 10) -{ - return { create_polyline(2. / 3, 1, - [](double z) { return P((3 * z - 1) / (3 * z), (3 * z * z - 2 * z) / (6 * z * z - 5 * z + 1), z); }, - prec) }; -} -// -// 00012121 -// curve : x = (3*z-1)/(3*z), y = (3*z^2-2*z)/(3*z^2-4*z+1), z = [1/2,2/3] -Polylines poly00012121(const int prec = 10) -{ - return { create_polyline(1. / 2, 2. / 3, - [](double z) { return P((3 * z - 1) / (3 * z), (3 * z * z - 2 * z) / (3 * z * z - 4 * z + 1), z); }, - prec) }; -} -// 00012122 -// curve : x = (6*z^2-6*z+1)/(3*z^2-3*z), y = (3*z^2-2*z)/(6*z^2-6*z+1), z = [1/3,2/3] -Polylines poly00012122(const int prec = 10) -{ - auto x = [](double z) { return (6 * z * z - 6 * z + 1) / (3 * z * z - 3 * z); }; - auto y = [](double z) { return (3 * z * z - 2 * z) / (6 * z * z - 6 * z + 1); }; - return { create_polyline(1. / 3, 2. / 3, - [x,y](double z) { return P(x(z), y(z), z); }, - prec) }; -} -// 00012221 -// curve : x = 1/(3*y),y = [1/3,1],z = 1/2 -Polylines poly00012221(const int prec = 10) -{ - return { create_polyline(1. / 3, 1, - [](double y) { return P(1. / (3 * y),y , 1. / 2); }, - prec) }; -} - -// 00111100 -// curve : x = [0,1], y = 1/2, z = 1/2 -Polylines poly00111100(const int prec = 10) -{ - return { create_polyline(0, 1, - [](double x) { return P(x , 1. / 2, 1. / 2); }, - prec) }; -} - -// 00111102 -// curve : x = (2*z-1)/(3*z^2-z), y = (3*z-1)/(6*z-3), z = [2/3,1] -Polylines poly00111102(const int prec = 10) -{ - return { create_polyline(2. / 3, 1, - [](double z) { return P((2 * z - 1) / (3 * z * z - z), (3 * z - 1) / (6 * z - 3), z); }, - prec) }; -} - -// 00111220 -// segment 1/2 0 2/3 1/2 1 2/3 -Polylines poly00111220(const int /*not needed for a segment*/) -{ - return { { P(1. / 2, 0, 2. / 3), P(1. / 2, 1, 2. / 3) } }; -} - -// 00121201 -// curve_1 : x =[1/2, 2/3], y = (-sqrt(-24 * x^3 + 37 * x^2 - 20 * x + 4) + 5 * x - 2)/(6 * x^2), z = ( sqrt(-24 * x^3 + 37 * x^2 - 20 * x + 4) + 5 * x - 2)/(6 * x^2) -// curve_2 : x =[1/2, 2/3], y = ( sqrt(-24 * x^3 + 37 * x^2 - 20 * x + 4) + 5 * x - 2)/(6 * x^2), z = (-sqrt(-24 * x^3 + 37 * x^2 - 20 * x + 4) + 5 * x - 2)/(6 * x^2) -// point 0 1/2 1/2 -Polylines poly00121201(const int prec = 10) -{ - auto sq_exp = [](double x) { - return sqrt(-24 * x * x * x + 37 * x * x - 20 * x + 4); - }; - auto y = [sq_exp](double x) { return (-sq_exp(x) + 5 * x - 2) / (6 * x * x); }; - auto z = [sq_exp](double x) { return (sq_exp(x) + 5 * x - 2) / (6 * x * x); }; - P corner{ 2. / 3, y(2. / 3), z(2. / 3) }; - return { - create_polyline(2. / 3, 1. / 2, corner, - [y, z](double x) { return P(x, y(x), z(x)); }, - prec), - create_polyline(2. / 3, 1. / 2, corner, - [y, z](double x) { return P(x, z(x), y(x)); }, - prec), - // { P(0., .5, .5), P(0., .5, .5) } - }; -} - - -template -class Triple_line_extractor -{ - using P = Point; - using Polyline = std::vector

; - using Polylines = std::vector; - - typedef Polylines(*create_polylines_fct)(const int /* prec */); - - -public: - boost::unordered_map create_polylines_fcts { - // One internal corner - { 00001221_c, CGAL::Mesh_3::poly00001221 } , - { 00111202_c, CGAL::Mesh_3::poly00111202 } , - { 01101001_c, CGAL::Mesh_3::poly01101001 } , - // Two curves - { 00011022_c, CGAL::Mesh_3::poly00011022 } , - { 00011221_c, CGAL::Mesh_3::poly00011221 } , - { 00011222_c, CGAL::Mesh_3::poly00011222 } , - { 00121200_c, CGAL::Mesh_3::poly00121200 } , - { 00121221_c, CGAL::Mesh_3::poly00121221 } , - { 00122100_c, CGAL::Mesh_3::poly00122100 } , - { 00122101_c, CGAL::Mesh_3::poly00122101 } , - // One curve - { 00000012_c, CGAL::Mesh_3::poly00000012 } , - { 00000112_c, CGAL::Mesh_3::poly00000112 } , - { 00000121_c, CGAL::Mesh_3::poly00000121 } , - { 00001112_c, CGAL::Mesh_3::poly00001112 } , - { 00001122_c, CGAL::Mesh_3::poly00001122 } , - { 00010121_c, CGAL::Mesh_3::poly00010121 } , - { 00010122_c, CGAL::Mesh_3::poly00010122 } , - { 00011002_c, CGAL::Mesh_3::poly00011002 } , - { 00011012_c, CGAL::Mesh_3::poly00011012 } , - { 00011110_c, CGAL::Mesh_3::poly00011110 } , - { 00011120_c, CGAL::Mesh_3::poly00011120 } , - { 00011121_c, CGAL::Mesh_3::poly00011121 } , - { 00011122_c, CGAL::Mesh_3::poly00011122 } , - { 00011220_c, CGAL::Mesh_3::poly00011220 } , - { 00012002_c, CGAL::Mesh_3::poly00012002 } , - { 00012012_c, CGAL::Mesh_3::poly00012012 } , - { 00012021_c, CGAL::Mesh_3::poly00012021 } , - { 00012110_c, CGAL::Mesh_3::poly00012110 } , - { 00012112_c, CGAL::Mesh_3::poly00012112 } , - { 00012120_c, CGAL::Mesh_3::poly00012120 } , - { 00012121_c, CGAL::Mesh_3::poly00012121 } , - { 00012122_c, CGAL::Mesh_3::poly00012122 } , - { 00012221_c, CGAL::Mesh_3::poly00012221 } , - { 00111100_c, CGAL::Mesh_3::poly00111100 } , - { 00111102_c, CGAL::Mesh_3::poly00111102 } , - { 00111220_c, CGAL::Mesh_3::poly00111220 } , - { 00121201_c, CGAL::Mesh_3::poly00121201 } - }; - -};//class Triple_line_extractor -}//namespace Mesh_3 -}//namespace CGAL - - -#endif // CGAL_MESH_3_TRIPLE_LINES_H