diff options
Diffstat (limited to 'src/common/include/gudhi')
| -rw-r--r-- | src/common/include/gudhi/Clock.h | 48 | ||||
| -rw-r--r-- | src/common/include/gudhi/Debug_utils.h | 2 | ||||
| -rw-r--r-- | src/common/include/gudhi/Points_3D_off_io.h | 4 | ||||
| -rw-r--r-- | src/common/include/gudhi/Points_off_io.h | 13 | ||||
| -rw-r--r-- | src/common/include/gudhi/Test.h | 105 | ||||
| -rw-r--r-- | src/common/include/gudhi/console_color.h | 97 | ||||
| -rw-r--r-- | src/common/include/gudhi/random_point_generators.h | 477 |
7 files changed, 613 insertions, 133 deletions
diff --git a/src/common/include/gudhi/Clock.h b/src/common/include/gudhi/Clock.h index 04c6ffb9..77f196ca 100644 --- a/src/common/include/gudhi/Clock.h +++ b/src/common/include/gudhi/Clock.h @@ -27,47 +27,55 @@ #include <string> +namespace Gudhi { + class Clock { public: - Clock() : end_called(false) { - startTime = boost::posix_time::microsec_clock::local_time(); - } - - Clock(const std::string& msg_) { - end_called = false; - begin(); - msg = msg_; - } + // Construct and start the timer + Clock(const std::string& msg_ = std::string()) + : startTime(boost::posix_time::microsec_clock::local_time()), + end_called(false), + msg(msg_) { } + // Restart the timer void begin() const { end_called = false; startTime = boost::posix_time::microsec_clock::local_time(); } + // Stop the timer void end() const { end_called = true; endTime = boost::posix_time::microsec_clock::local_time(); } + std::string message() const { + return msg; + } + + // Print current value to std::cout void print() const { std::cout << *this << std::endl; } friend std::ostream& operator<<(std::ostream& stream, const Clock& clock) { - if (!clock.end_called) - clock.end(); + if (!clock.msg.empty()) + stream << clock.msg << ": "; - if (!clock.end_called) { - stream << "end not called"; - } else { - stream << clock.msg << ":" << clock.num_seconds() << "s"; - } + stream << clock.num_seconds() << "s"; return stream; } + // Get the number of seconds between the timer start and: + // - the last call of end() if it was called + // - or now otherwise. In this case, the timer is not stopped. double num_seconds() const { - if (!end_called) return -1; - return (endTime - startTime).total_milliseconds() / 1000.; + if (!end_called) { + auto end = boost::posix_time::microsec_clock::local_time(); + return (end - startTime).total_milliseconds() / 1000.; + } else { + return (endTime - startTime).total_milliseconds() / 1000.; + } } private: @@ -76,4 +84,6 @@ class Clock { std::string msg; }; -#endif // CLOCK_H_ +} // namespace Gudhi + +#endif // CLOCK_H_ diff --git a/src/common/include/gudhi/Debug_utils.h b/src/common/include/gudhi/Debug_utils.h index 7573a9db..8ed3b7b3 100644 --- a/src/common/include/gudhi/Debug_utils.h +++ b/src/common/include/gudhi/Debug_utils.h @@ -33,8 +33,10 @@ // Could assert in release mode, but cmake sets NDEBUG (for "NO DEBUG") in this mode, means assert does nothing. #ifdef GUDHI_DEBUG #define GUDHI_CHECK(expression, excpt) if ((expression) == 0) throw excpt + #define GUDHI_CHECK_code(CODE) CODE #else #define GUDHI_CHECK(expression, excpt) (void) 0 + #define GUDHI_CHECK_code(CODE) #endif #define PRINT(a) std::cerr << #a << ": " << (a) << " (DISP)" << std::endl diff --git a/src/common/include/gudhi/Points_3D_off_io.h b/src/common/include/gudhi/Points_3D_off_io.h index 2647f11e..b0d24998 100644 --- a/src/common/include/gudhi/Points_3D_off_io.h +++ b/src/common/include/gudhi/Points_3D_off_io.h @@ -132,12 +132,12 @@ class Points_3D_off_visitor_reader { * * @code template<class InputIterator > Point_3::Point_3(double x, double y, double z) @endcode * - * @section Example + * @section point3doffioexample Example * * This example loads points from an OFF file and builds a vector of CGAL points in dimension 3. * Then, it is asked to display the points. * - * @include common/CGAL_3D_points_off_reader.cpp + * @include common/example_CGAL_3D_points_off_reader.cpp * * When launching: * diff --git a/src/common/include/gudhi/Points_off_io.h b/src/common/include/gudhi/Points_off_io.h index 74b49386..29af8a8a 100644 --- a/src/common/include/gudhi/Points_off_io.h +++ b/src/common/include/gudhi/Points_off_io.h @@ -73,9 +73,8 @@ class Points_off_visitor_reader { * @details * Point_d must have a constructor with the following form: * - * @code template<class InputIterator > Point_d::Point_d(int d, InputIterator first, InputIterator last) @endcode + * @code template<class InputIterator > Point_d::Point_d(InputIterator first, InputIterator last) @endcode * - * where d is the point dimension. */ void point(const std::vector<double>& point) { #ifdef DEBUG_TRACES @@ -86,7 +85,7 @@ class Points_off_visitor_reader { std::cout << std::endl; #endif // DEBUG_TRACES // Fill the point cloud - point_cloud.push_back(Point_d(point.size(), point.begin(), point.end())); + point_cloud.push_back(Point_d(point.begin(), point.end())); } // Off_reader visitor maximal_face implementation - Only points are read @@ -115,16 +114,16 @@ class Points_off_visitor_reader { * * where d is the point dimension. * - * \section Example + * \section pointoffioexample Example * - * This example loads points from an OFF file and builds a vector of CGAL points in dimension d. + * This example loads points from an OFF file and builds a vector of points (vector of double). * Then, it is asked to display the points. * - * \include common/CGAL_points_off_reader.cpp + * \include common/example_vector_double_points_off_reader.cpp * * When launching: * - * \code $> ./cgaloffreader ../../data/points/alphacomplexdoc.off + * \code $> ./vector_double_off_reader ../../data/points/alphacomplexdoc.off * \endcode * * the program output is: diff --git a/src/common/include/gudhi/Test.h b/src/common/include/gudhi/Test.h deleted file mode 100644 index 6024c822..00000000 --- a/src/common/include/gudhi/Test.h +++ /dev/null @@ -1,105 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): David Salinas - * - * Copyright (C) 2014 INRIA Sophia Antipolis-Mediterranee (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see <http://www.gnu.org/licenses/>. - * - */ - -#ifndef TEST_H_ -#define TEST_H_ - -#include <list> -#include <string> -#include <vector> -#include <sstream> -#include <iostream> - - -#define TEST(a) std::cout << "TEST: " << (a) << std::endl -#define TESTMSG(a, b) std::cout << "TEST: " << a << b << std::endl -#define TESTVALUE(a) std::cout << "TEST: " << #a << ": " << a << std::endl - -/** - * Class to perform test - */ - -class Test { - private: - std::string name; - bool (*test)(); - - std::string separation() const { - return "+++++++++++++++++++++++++++++++++++++++++++++++++\n"; - } - - std::string print_between_plus(std::string& s) const { - std::stringstream res; - res << "+++++++++++++++++" << s << "+++++++++++++++++\n"; - return res.str(); - } - - public: - Test(std::string name_, bool (*test_)()) { - name = name_; - test = test_; - } - - bool run() { - std::cout << print_between_plus(name); - return test(); - } - - std::string getName() { - return name; - } -}; - -class Tests { - private: - std::list<Test> tests; - - public: - void add(std::string name_, bool (*test_)()) { - Test test(name_, test_); - tests.push_back(test); - } - - bool run() { - bool tests_succesful(true); - std::vector<bool> res; - for (Test test : tests) { - res.push_back(test.run()); - } - std::cout << "\n\n results of tests : " << std::endl; - int i = 0; - for (Test t : tests) { - std::cout << "Test " << i << " \"" << t.getName() << "\" --> "; - if (res[i++]) { - std::cout << "OK" << std::endl; - } else { - std::cout << "Fail" << std::endl; - tests_succesful = false; - break; - } - } - return tests_succesful; - } -}; - -#endif // TEST_H_ diff --git a/src/common/include/gudhi/console_color.h b/src/common/include/gudhi/console_color.h new file mode 100644 index 00000000..c4671da3 --- /dev/null +++ b/src/common/include/gudhi/console_color.h @@ -0,0 +1,97 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Clement Jamin + * + * Copyright (C) 2016 INRIA Sophia-Antipolis (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#ifndef CONSOLE_COLOR_H_ +#define CONSOLE_COLOR_H_ + +#include <iostream> + +#if defined(WIN32) +#include <windows.h> +#endif + +inline std::ostream& blue(std::ostream &s) { +#if defined(WIN32) + HANDLE hStdout = GetStdHandle(STD_OUTPUT_HANDLE); + SetConsoleTextAttribute(hStdout, + FOREGROUND_BLUE | FOREGROUND_GREEN | FOREGROUND_INTENSITY); +#else + s << "\x1b[0;34m"; +#endif + return s; +} + +inline std::ostream& red(std::ostream &s) { +#if defined(WIN32) + HANDLE hStdout = GetStdHandle(STD_OUTPUT_HANDLE); + SetConsoleTextAttribute(hStdout, FOREGROUND_RED | FOREGROUND_INTENSITY); +#else + s << "\x1b[0;31m"; +#endif + return s; +} + +inline std::ostream& green(std::ostream &s) { +#if defined(WIN32) + HANDLE hStdout = GetStdHandle(STD_OUTPUT_HANDLE); + SetConsoleTextAttribute(hStdout, FOREGROUND_GREEN | FOREGROUND_INTENSITY); +#else + s << "\x1b[0;32m"; +#endif + return s; +} + +inline std::ostream& yellow(std::ostream &s) { +#if defined(WIN32) + HANDLE hStdout = GetStdHandle(STD_OUTPUT_HANDLE); + SetConsoleTextAttribute(hStdout, + FOREGROUND_GREEN | FOREGROUND_RED | FOREGROUND_INTENSITY); +#else + s << "\x1b[0;33m"; +#endif + return s; +} + +inline std::ostream& white(std::ostream &s) { +#if defined(WIN32) + HANDLE hStdout = GetStdHandle(STD_OUTPUT_HANDLE); + SetConsoleTextAttribute(hStdout, + FOREGROUND_RED | FOREGROUND_GREEN | FOREGROUND_BLUE); +#else + s << "\x1b[0;37m"; +#endif + return s; +} + +inline std::ostream& black_on_white(std::ostream &s) { +#if defined(WIN32) + HANDLE hStdout = GetStdHandle(STD_OUTPUT_HANDLE); + SetConsoleTextAttribute(hStdout, + BACKGROUND_RED | BACKGROUND_GREEN | BACKGROUND_BLUE); +#else + s << "\x1b[0;33m"; +#endif + return s; +} + + +#endif // CONSOLE_COLOR_H_ diff --git a/src/common/include/gudhi/random_point_generators.h b/src/common/include/gudhi/random_point_generators.h new file mode 100644 index 00000000..3050b7ea --- /dev/null +++ b/src/common/include/gudhi/random_point_generators.h @@ -0,0 +1,477 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Clement Jamin + * + * Copyright (C) 2016 INRIA + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#ifndef RANDOM_POINT_GENERATORS_H_ +#define RANDOM_POINT_GENERATORS_H_ + +#include <CGAL/number_utils.h> +#include <CGAL/Random.h> +#include <CGAL/point_generators_d.h> + +#include <vector> // for vector<> + +namespace Gudhi { + +/////////////////////////////////////////////////////////////////////////////// +// Note: All these functions have been tested with the CGAL::Epick_d kernel +/////////////////////////////////////////////////////////////////////////////// + +// construct_point: dim 2 + +template <typename Kernel> +typename Kernel::Point_d construct_point(const Kernel &k, + typename Kernel::FT x1, typename Kernel::FT x2) { + typename Kernel::FT tab[2]; + tab[0] = x1; + tab[1] = x2; + return k.construct_point_d_object()(2, &tab[0], &tab[2]); +} + +// construct_point: dim 3 + +template <typename Kernel> +typename Kernel::Point_d construct_point(const Kernel &k, + typename Kernel::FT x1, typename Kernel::FT x2, typename Kernel::FT x3) { + typename Kernel::FT tab[3]; + tab[0] = x1; + tab[1] = x2; + tab[2] = x3; + return k.construct_point_d_object()(3, &tab[0], &tab[3]); +} + +// construct_point: dim 4 + +template <typename Kernel> +typename Kernel::Point_d construct_point(const Kernel &k, + typename Kernel::FT x1, typename Kernel::FT x2, typename Kernel::FT x3, + typename Kernel::FT x4) { + typename Kernel::FT tab[4]; + tab[0] = x1; + tab[1] = x2; + tab[2] = x3; + tab[3] = x4; + return k.construct_point_d_object()(4, &tab[0], &tab[4]); +} + +// construct_point: dim 5 + +template <typename Kernel> +typename Kernel::Point_d construct_point(const Kernel &k, + typename Kernel::FT x1, typename Kernel::FT x2, typename Kernel::FT x3, + typename Kernel::FT x4, typename Kernel::FT x5) { + typename Kernel::FT tab[5]; + tab[0] = x1; + tab[1] = x2; + tab[2] = x3; + tab[3] = x4; + tab[4] = x5; + return k.construct_point_d_object()(5, &tab[0], &tab[5]); +} + +// construct_point: dim 6 + +template <typename Kernel> +typename Kernel::Point_d construct_point(const Kernel &k, + typename Kernel::FT x1, typename Kernel::FT x2, typename Kernel::FT x3, + typename Kernel::FT x4, typename Kernel::FT x5, typename Kernel::FT x6) { + typename Kernel::FT tab[6]; + tab[0] = x1; + tab[1] = x2; + tab[2] = x3; + tab[3] = x4; + tab[4] = x5; + tab[5] = x6; + return k.construct_point_d_object()(6, &tab[0], &tab[6]); +} + +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_plane(std::size_t num_points, int intrinsic_dim, + int ambient_dim, + double coord_min = -5., double coord_max = 5.) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + std::vector<FT> pt(ambient_dim, FT(0)); + for (int j = 0; j < intrinsic_dim; ++j) + pt[j] = rng.get_double(coord_min, coord_max); + + Point p = k.construct_point_d_object()(ambient_dim, pt.begin(), pt.end()); + points.push_back(p); + ++i; + } + return points; +} + +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_moment_curve(std::size_t num_points, int dim, + typename Kernel::FT min_x, + typename Kernel::FT max_x) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + FT x = rng.get_double(min_x, max_x); + std::vector<FT> coords; + coords.reserve(dim); + for (int p = 1; p <= dim; ++p) + coords.push_back(std::pow(CGAL::to_double(x), p)); + Point p = k.construct_point_d_object()( + dim, coords.begin(), coords.end()); + points.push_back(p); + ++i; + } + return points; +} + + +// R = big radius, r = small radius +template <typename Kernel/*, typename TC_basis*/> +std::vector<typename Kernel::Point_d> generate_points_on_torus_3D(std::size_t num_points, double R, double r, + bool uniform = false) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + + // if uniform + std::size_t num_lines = (std::size_t)sqrt(num_points); + + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + FT u, v; + if (uniform) { + std::size_t k1 = i / num_lines; + std::size_t k2 = i % num_lines; + u = 6.2832 * k1 / num_lines; + v = 6.2832 * k2 / num_lines; + } else { + u = rng.get_double(0, 6.2832); + v = rng.get_double(0, 6.2832); + } + Point p = construct_point(k, + (R + r * std::cos(u)) * std::cos(v), + (R + r * std::cos(u)) * std::sin(v), + r * std::sin(u)); + points.push_back(p); + ++i; + } + return points; +} + +// "Private" function used by generate_points_on_torus_d +template <typename Kernel, typename OutputIterator> +static void generate_uniform_points_on_torus_d(const Kernel &k, int dim, std::size_t num_slices, + OutputIterator out, + double radius_noise_percentage = 0., + std::vector<typename Kernel::FT> current_point = std::vector<typename Kernel::FT>()) { + CGAL::Random rng; + if (current_point.size() == 2 * dim) { + *out++ = k.construct_point_d_object()( + static_cast<int> (current_point.size()), + current_point.begin(), current_point.end()); + } else { + for (std::size_t slice_idx = 0; slice_idx < num_slices; ++slice_idx) { + double radius_noise_ratio = 1.; + if (radius_noise_percentage > 0.) { + radius_noise_ratio = rng.get_double( + (100. - radius_noise_percentage) / 100., + (100. + radius_noise_percentage) / 100.); + } + std::vector<typename Kernel::FT> cp2 = current_point; + double alpha = 6.2832 * slice_idx / num_slices; + cp2.push_back(radius_noise_ratio * std::cos(alpha)); + cp2.push_back(radius_noise_ratio * std::sin(alpha)); + generate_uniform_points_on_torus_d( + k, dim, num_slices, out, radius_noise_percentage, cp2); + } + } +} + +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_torus_d(std::size_t num_points, int dim, bool uniform = false, + double radius_noise_percentage = 0.) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + + std::vector<Point> points; + points.reserve(num_points); + if (uniform) { + std::size_t num_slices = (std::size_t)std::pow(num_points, 1. / dim); + generate_uniform_points_on_torus_d( + k, dim, num_slices, std::back_inserter(points), radius_noise_percentage); + } else { + for (std::size_t i = 0; i < num_points;) { + double radius_noise_ratio = 1.; + if (radius_noise_percentage > 0.) { + radius_noise_ratio = rng.get_double( + (100. - radius_noise_percentage) / 100., + (100. + radius_noise_percentage) / 100.); + } + std::vector<typename Kernel::FT> pt; + pt.reserve(dim * 2); + for (int curdim = 0; curdim < dim; ++curdim) { + FT alpha = rng.get_double(0, 6.2832); + pt.push_back(radius_noise_ratio * std::cos(alpha)); + pt.push_back(radius_noise_ratio * std::sin(alpha)); + } + + Point p = k.construct_point_d_object()(pt.begin(), pt.end()); + points.push_back(p); + ++i; + } + } + return points; +} + +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_sphere_d(std::size_t num_points, int dim, double radius, + double radius_noise_percentage = 0.) { + typedef typename Kernel::Point_d Point; + Kernel k; + CGAL::Random rng; + CGAL::Random_points_on_sphere_d<Point> generator(dim, radius); + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + Point p = *generator++; + if (radius_noise_percentage > 0.) { + double radius_noise_ratio = rng.get_double( + (100. - radius_noise_percentage) / 100., + (100. + radius_noise_percentage) / 100.); + + typename Kernel::Point_to_vector_d k_pt_to_vec = + k.point_to_vector_d_object(); + typename Kernel::Vector_to_point_d k_vec_to_pt = + k.vector_to_point_d_object(); + typename Kernel::Scaled_vector_d k_scaled_vec = + k.scaled_vector_d_object(); + p = k_vec_to_pt(k_scaled_vec(k_pt_to_vec(p), radius_noise_ratio)); + } + points.push_back(p); + ++i; + } + return points; +} + +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_two_spheres_d(std::size_t num_points, int dim, double radius, + double distance_between_centers, + double radius_noise_percentage = 0.) { + typedef typename Kernel::FT FT; + typedef typename Kernel::Point_d Point; + typedef typename Kernel::Vector_d Vector; + Kernel k; + CGAL::Random rng; + CGAL::Random_points_on_sphere_d<Point> generator(dim, radius); + std::vector<Point> points; + points.reserve(num_points); + + std::vector<FT> t(dim, FT(0)); + t[0] = distance_between_centers; + Vector c1_to_c2(t.begin(), t.end()); + + for (std::size_t i = 0; i < num_points;) { + Point p = *generator++; + if (radius_noise_percentage > 0.) { + double radius_noise_ratio = rng.get_double( + (100. - radius_noise_percentage) / 100., + (100. + radius_noise_percentage) / 100.); + + typename Kernel::Point_to_vector_d k_pt_to_vec = + k.point_to_vector_d_object(); + typename Kernel::Vector_to_point_d k_vec_to_pt = + k.vector_to_point_d_object(); + typename Kernel::Scaled_vector_d k_scaled_vec = + k.scaled_vector_d_object(); + p = k_vec_to_pt(k_scaled_vec(k_pt_to_vec(p), radius_noise_ratio)); + } + + typename Kernel::Translated_point_d k_transl = + k.translated_point_d_object(); + Point p2 = k_transl(p, c1_to_c2); + points.push_back(p); + points.push_back(p2); + i += 2; + } + return points; +} + +// Product of a 3-sphere and a circle => d = 3 / D = 5 + +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_3sphere_and_circle(std::size_t num_points, + double sphere_radius) { + typedef typename Kernel::FT FT; + typedef typename Kernel::Point_d Point; + Kernel k; + CGAL::Random rng; + CGAL::Random_points_on_sphere_d<Point> generator(3, sphere_radius); + std::vector<Point> points; + points.reserve(num_points); + + typename Kernel::Translated_point_d k_transl = + k.translated_point_d_object(); + typename Kernel::Compute_coordinate_d k_coord = + k.compute_coordinate_d_object(); + for (std::size_t i = 0; i < num_points;) { + Point p_sphere = *generator++; // First 3 coords + + FT alpha = rng.get_double(0, 6.2832); + std::vector<FT> pt(5); + pt[0] = k_coord(p_sphere, 0); + pt[1] = k_coord(p_sphere, 1); + pt[2] = k_coord(p_sphere, 2); + pt[3] = std::cos(alpha); + pt[4] = std::sin(alpha); + Point p(pt.begin(), pt.end()); + points.push_back(p); + ++i; + } + return points; +} + +// a = big radius, b = small radius +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_klein_bottle_3D(std::size_t num_points, double a, double b, + bool uniform = false) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + + // if uniform + std::size_t num_lines = (std::size_t)sqrt(num_points); + + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + FT u, v; + if (uniform) { + std::size_t k1 = i / num_lines; + std::size_t k2 = i % num_lines; + u = 6.2832 * k1 / num_lines; + v = 6.2832 * k2 / num_lines; + } else { + u = rng.get_double(0, 6.2832); + v = rng.get_double(0, 6.2832); + } + double tmp = cos(u / 2) * sin(v) - sin(u / 2) * sin(2. * v); + Point p = construct_point(k, + (a + b * tmp) * cos(u), + (a + b * tmp) * sin(u), + b * (sin(u / 2) * sin(v) + cos(u / 2) * sin(2. * v))); + points.push_back(p); + ++i; + } + return points; +} + +// a = big radius, b = small radius +template <typename Kernel> +std::vector<typename Kernel::Point_d> generate_points_on_klein_bottle_4D(std::size_t num_points, double a, double b, + double noise = 0., bool uniform = false) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + + // if uniform + std::size_t num_lines = (std::size_t)sqrt(num_points); + + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + FT u, v; + if (uniform) { + std::size_t k1 = i / num_lines; + std::size_t k2 = i % num_lines; + u = 6.2832 * k1 / num_lines; + v = 6.2832 * k2 / num_lines; + } else { + u = rng.get_double(0, 6.2832); + v = rng.get_double(0, 6.2832); + } + Point p = construct_point(k, + (a + b * cos(v)) * cos(u) + (noise == 0. ? 0. : rng.get_double(0, noise)), + (a + b * cos(v)) * sin(u) + (noise == 0. ? 0. : rng.get_double(0, noise)), + b * sin(v) * cos(u / 2) + (noise == 0. ? 0. : rng.get_double(0, noise)), + b * sin(v) * sin(u / 2) + (noise == 0. ? 0. : rng.get_double(0, noise))); + points.push_back(p); + ++i; + } + return points; +} + + +// a = big radius, b = small radius + +template <typename Kernel> +std::vector<typename Kernel::Point_d> +generate_points_on_klein_bottle_variant_5D( + std::size_t num_points, double a, double b, bool uniform = false) { + typedef typename Kernel::Point_d Point; + typedef typename Kernel::FT FT; + Kernel k; + CGAL::Random rng; + + // if uniform + std::size_t num_lines = (std::size_t)sqrt(num_points); + + std::vector<Point> points; + points.reserve(num_points); + for (std::size_t i = 0; i < num_points;) { + FT u, v; + if (uniform) { + std::size_t k1 = i / num_lines; + std::size_t k2 = i % num_lines; + u = 6.2832 * k1 / num_lines; + v = 6.2832 * k2 / num_lines; + } else { + u = rng.get_double(0, 6.2832); + v = rng.get_double(0, 6.2832); + } + FT x1 = (a + b * cos(v)) * cos(u); + FT x2 = (a + b * cos(v)) * sin(u); + FT x3 = b * sin(v) * cos(u / 2); + FT x4 = b * sin(v) * sin(u / 2); + FT x5 = x1 + x2 + x3 + x4; + + Point p = construct_point(k, x1, x2, x3, x4, x5); + points.push_back(p); + ++i; + } + return points; +} + +} // namespace Gudhi + +#endif // RANDOM_POINT_GENERATORS_H_ |