libcruft-util/bezier.hpp

63 lines
1.7 KiB
C++

/*
* This file is part of libgim.
*
* libgim 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.
*
* libgim 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 libgim. If not, see <http://www.gnu.org/licenses/>.
*
* Copyright 2015 Danny Robson <danny@nerdcruft.net>
*/
#ifndef __UTIL_BEZIER_HPP
#define __UTIL_BEZIER_HPP
#include "point.hpp"
#include "region.hpp"
#include <iostream>
namespace util {
template <size_t S>
class bezier {
public:
bezier (const util::point2f (&)[S+1]);
point2f eval (float t) const;
// Calculate the expanded polynomial coeffecients in terms of t
std::array<vector2f,S+1>
coeffs (void) const;
size_t intersections (point2f from, point2f to) const;
float distance (point2f) const;
region2f region (void) const;
point2f& operator[] (size_t idx);
const point2f& operator[] (size_t idx) const;
private:
// HACK: allow easy access to component-wise arithmetic using
// vector2f rather than point2f in the implementation.
union {
point2f m_points[S+1];
vector2f m_coeffs[S+1];
};
};
template <size_t S>
std::ostream& operator<< (std::ostream&, const bezier<S>&);
}
#endif