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-/* 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_