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Diffstat (limited to 'include/gudhi/Point.h')
| -rw-r--r-- | include/gudhi/Point.h | 170 |
1 files changed, 170 insertions, 0 deletions
diff --git a/include/gudhi/Point.h b/include/gudhi/Point.h new file mode 100644 index 00000000..0479e71e --- /dev/null +++ b/include/gudhi/Point.h @@ -0,0 +1,170 @@ +/* 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 POINT_H_ +#define POINT_H_ + +#include <cmath> +#include <vector> +#include <cassert> +#include <cstddef> +#include <initializer_list> + +class Point_d { + public: + Point_d(size_t dim = 3) : coords_(dim, 0) { } + + Point_d(const Point_d& other) : coords_(other.coords_) { } + + Point_d(const std::initializer_list<double>& list) : coords_(list) { } + + template<typename CoordsIt> + Point_d(CoordsIt begin, CoordsIt end) : coords_(begin, end) { } + + size_t dimension() const { + return coords_.size(); + } + + double x() const { + return coords_[0]; + } + + double y() const { + return coords_[1]; + } + + double z() const { + return coords_[2]; + } + + double& x() { + return coords_[0]; + } + + double& y() { + return coords_[1]; + } + + double& z() { + return coords_[2]; + } + + std::vector<double>::const_iterator begin() const { + return coords_.begin(); + } + + std::vector<double>::const_iterator end() const { + return coords_.end(); + } + + double& operator[](unsigned i) { + return coords_[i]; + } + + const double& operator[](unsigned i) const { + return coords_[i]; + } + + double squared_norm() const { + double res = 0; + for (auto x : coords_) + res += x * x; + return res; + } + + friend double squared_dist(const Point_d& p1, const Point_d& p2) { + assert(p1.dimension() == p2.dimension()); + double res = 0; + for (unsigned i = 0; i < p1.coords_.size(); ++i) + res += (p1[i] - p2[i])*(p1[i] - p2[i]); + return res; + } + + /** + * dot product + */ + double operator*(const Point_d& other) const { + assert(dimension() == other.dimension()); + double res = 0; + for (unsigned i = 0; i < coords_.size(); ++i) + res += coords_[i] * other[i]; + return res; + } + + /** + * only if points have dimension 3 + */ + Point_d cross_product(const Point_d& other) { + assert(dimension() == 3 && other.dimension() == 3); + Point_d res(3); + res[0] = (*this)[1] * other[2] - (*this)[2] * other[1]; + res[1] = (*this)[2] * other[0] - (*this)[0] * other[2]; + res[2] = (*this)[0] * other[1] - (*this)[1] * other[0]; + return res; + } + + Point_d operator+(const Point_d& other) const { + assert(dimension() == other.dimension()); + Point_d res(dimension()); + for (unsigned i = 0; i < coords_.size(); ++i) + res[i] = (*this)[i] + other[i]; + return res; + } + + Point_d operator*(double lambda) const { + Point_d res(dimension()); + for (unsigned i = 0; i < coords_.size(); ++i) + res[i] = (*this)[i] * lambda; + return res; + } + + Point_d operator/(double lambda) const { + Point_d res(dimension()); + for (unsigned i = 0; i < coords_.size(); ++i) + res[i] = (*this)[i] / lambda; + return res; + } + + Point_d operator-(const Point_d& other) const { + assert(dimension() == other.dimension()); + Point_d res(dimension()); + for (unsigned i = 0; i < coords_.size(); ++i) + res[i] = (*this)[i] - other[i]; + return res; + } + + friend Point_d unit_normal(const Point_d& p1, const Point_d& p2, const Point_d& p3) { + assert(p1.dimension() == 3); + assert(p2.dimension() == 3); + assert(p3.dimension() == 3); + Point_d p1p2 = p2 - p1; + Point_d p1p3 = p3 - p1; + Point_d res(p1p2.cross_product(p1p3)); + return res / std::sqrt(res.squared_norm()); + } + + private: + std::vector<double> coords_; +}; + +#endif // POINT_H_ |