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Diffstat (limited to 'include/gudhi/common_persistence_representations.h')
-rw-r--r-- | include/gudhi/common_persistence_representations.h | 127 |
1 files changed, 0 insertions, 127 deletions
diff --git a/include/gudhi/common_persistence_representations.h b/include/gudhi/common_persistence_representations.h deleted file mode 100644 index 3d03f1f6..00000000 --- a/include/gudhi/common_persistence_representations.h +++ /dev/null @@ -1,127 +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): Pawel Dlotko - * - * 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 COMMON_PERSISTENCE_REPRESENTATIONS_H_ -#define COMMON_PERSISTENCE_REPRESENTATIONS_H_ - -#include <utility> -#include <string> -#include <cmath> - -namespace Gudhi { -namespace Persistence_representations { -// this file contain an implementation of some common procedures used in Persistence_representations. - -// double epsi = std::numeric_limits<double>::epsilon(); -double epsi = 0.000005; - -/** - * A procedure used to compare doubles. Typically given two doubles A and B, comparing A == B is not good idea. In this - *case, we use the procedure almostEqual with the epsi defined at - * the top of the file. Setting up the epsi gives the user a tolerance on what should be consider equal. -**/ -inline bool almost_equal(double a, double b) { - if (std::fabs(a - b) < epsi) return true; - return false; -} - -// landscapes -/** - * Extra functions needed in construction of barcodes. -**/ -double minus_length(std::pair<double, double> a) { return a.first - a.second; } -double birth_plus_deaths(std::pair<double, double> a) { return a.first + a.second; } - -// landscapes -/** - * Given two points in R^2, the procedure compute the parameters A and B of the line y = Ax + B that crosses those two - *points. -**/ -std::pair<double, double> compute_parameters_of_a_line(std::pair<double, double> p1, std::pair<double, double> p2) { - double a = (p2.second - p1.second) / (p2.first - p1.first); - double b = p1.second - a * p1.first; - return std::make_pair(a, b); -} - -// landscapes -/** - * This procedure given two points which lies on the opposite sides of x axis, compute x for which the line connecting - *those two points crosses x axis. -**/ -double find_zero_of_a_line_segment_between_those_two_points(std::pair<double, double> p1, - std::pair<double, double> p2) { - if (p1.first == p2.first) return p1.first; - if (p1.second * p2.second > 0) { - std::ostringstream errMessage; - errMessage << "In function find_zero_of_a_line_segment_between_those_two_points the arguments are: (" << p1.first - << "," << p1.second << ") and (" << p2.first << "," << p2.second - << "). There is no zero in line between those two points. Program terminated."; - std::string errMessageStr = errMessage.str(); - const char* err = errMessageStr.c_str(); - throw(err); - } - // we assume here, that x \in [ p1.first, p2.first ] and p1 and p2 are points between which we will put the line - // segment - double a = (p2.second - p1.second) / (p2.first - p1.first); - double b = p1.second - a * p1.first; - return -b / a; -} - -// landscapes -/** - * This method provides a comparison of points that is used in construction of persistence landscapes. The ordering is - *lexicographical for the first coordinate, and reverse-lexicographical for the - * second coordinate. -**/ -bool compare_points_sorting(std::pair<double, double> f, std::pair<double, double> s) { - if (f.first < s.first) { - return true; - } else { // f.first >= s.first - if (f.first > s.first) { - return false; - } else { // f.first == s.first - if (f.second > s.second) { - return true; - } else { - return false; - } - } - } -} - -// landscapes -/** - * This procedure takes two points in R^2 and a double value x. It computes the line parsing through those two points - *and return the value of that linear function at x. -**/ -double function_value(std::pair<double, double> p1, std::pair<double, double> p2, double x) { - // we assume here, that x \in [ p1.first, p2.first ] and p1 and p2 are points between which we will put the line - // segment - double a = (p2.second - p1.second) / (p2.first - p1.first); - double b = p1.second - a * p1.first; - return (a * x + b); -} - -} // namespace Persistence_representations -} // namespace Gudhi - -#endif // COMMON_PERSISTENCE_REPRESENTATIONS_H_ |