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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): 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_
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