mirror of https://github.com/CGAL/cgal
Added an example that showcase use of optimizers
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#define CGAL_MESH_3_VERBOSE
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//#define CGAL_MESHES_DEBUG_REFINEMENT_POINTS
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//#define CGAL_MESH_3_DEBUG_FACET_CRITERIA
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//#define CGAL_MESH_3_DEBUG_CELL_CRITERIA
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#define CGAL_MESH_3_PROFILING
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#define CGAL_MESH_3_DEBUG_SLIVERS_EXUDER
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#include <CGAL/Periodic_3_mesh_3/config.h>
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#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
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#include <CGAL/IO/Medit_IO.h>
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#include <CGAL/Implicit_periodic_3_mesh_domain_3.h>
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#include <CGAL/make_periodic_3_mesh_3.h>
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#include <CGAL/optimize_periodic_3_mesh_3.h>
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#include <CGAL/Periodic_3_mesh_triangulation_3.h>
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#include <CGAL/Mesh_complex_3_in_triangulation_3.h>
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#include <CGAL/Mesh_criteria_3.h>
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#include <CGAL/number_type_config.h> // CGAL_PI
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#include <cmath>
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#include <iostream>
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#include <fstream>
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namespace P3M3_IO = CGAL::Periodic_3_mesh_3::IO;
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// Domain
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typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
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typedef K::FT FT;
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typedef K::Point_3 Point;
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typedef FT (Function)(const Point&);
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typedef CGAL::Implicit_periodic_3_mesh_domain_3<Function,K> Periodic_mesh_domain;
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// Triangulation
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typedef CGAL::Periodic_3_mesh_triangulation_3<Periodic_mesh_domain>::type Tr;
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typedef CGAL::Mesh_complex_3_in_triangulation_3<Tr> C3t3;
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// Criteria
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typedef CGAL::Mesh_criteria_3<Tr> Periodic_mesh_criteria;
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// To avoid verbose function and named parameters call
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using namespace CGAL::parameters;
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// Implicit function
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FT schwarz_p(const Point& p) {
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const FT x2 = std::cos( p.x() * 2 * CGAL_PI ),
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y2 = std::cos( p.y() * 2 * CGAL_PI ),
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z2 = std::cos( p.z() * 2 * CGAL_PI );
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return x2 + y2 + z2;
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}
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int main(int argc, char** argv)
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{
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// 'int' because the 'schwarz_p' function is periodic over the domain only if
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// the length of the side of the domain is an integer
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int domain_size = (argc > 1) ? atoi(argv[1]) : 1;
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Periodic_mesh_domain domain(schwarz_p, CGAL::Iso_cuboid_3<K>(0, 0, 0, domain_size, domain_size, domain_size));
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Periodic_mesh_criteria criteria(facet_angle = 30,
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facet_size = 0.05 * domain_size,
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facet_distance = 0.025 * domain_size,
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cell_radius_edge_ratio = 2.,
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cell_size = 0.05);
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// Mesh generation
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C3t3 c3t3 = CGAL::make_periodic_3_mesh_3<C3t3>(domain, criteria,
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odt(convergence=0.03, freeze_bound=0.02, time_limit=30),
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lloyd(max_iteration_number=10, time_limit=30),
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perturb(sliver_bound=10),
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exude(sliver_bound=10, time_limit=30));
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std::ofstream medit_file("output_implicit_shape.mesh");
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P3M3_IO::write_complex_to_medit(medit_file, c3t3);
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// Mesh generation and optimization in several call
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C3t3 c3t3_bis = CGAL::make_periodic_3_mesh_3<C3t3>(domain, criteria,
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no_odt(), no_lloyd(),
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no_perturb(), no_exude());
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std::ofstream medit_file_bis("output_implicit_shape_non-optimized.mesh");
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P3M3_IO::write_complex_to_medit(medit_file_bis, c3t3_bis);
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std::cout << "Optimizing..." << std::endl;
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CGAL::odt_optimize_periodic_3_mesh_3(c3t3_bis, domain, convergence=0.03, freeze_bound=0.02, time_limit=30);
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CGAL::lloyd_optimize_periodic_3_mesh_3(c3t3_bis, domain, max_iteration_number=10, time_limit=30);
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CGAL::perturb_periodic_3_mesh_3(c3t3_bis, domain, sliver_bound=10);
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CGAL::exude_periodic_3_mesh_3(c3t3_bis, sliver_bound=10, time_limit=30);
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std::ofstream medit_file_ter("output_implicit_shape_two_steps.mesh");
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P3M3_IO::write_complex_to_medit(medit_file_ter, c3t3_bis);
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std::cout << "EXIT SUCCESS" << std::endl;
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return 0;
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}
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