libcruft-util/vector.hpp

/*
 * 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 2011 Danny Robson <danny@nerdcruft.net>
 */

#ifndef __UTIL_VECTOR_HPP
#define __UTIL_VECTOR_HPP

#include "json/tree.hpp"
#include "coord.hpp"

#include <array>
#include <iostream>
#include <initializer_list>

namespace util {
    template <size_t S, typename T>
    struct vector : public coord::base<S,T,vector,coord::xyzw,coord::stpq>
    {
        using coord::base<S,T,util::vector,coord::xyzw,coord::stpq>::base;

        bool is_zero (void) const;

        // vector operators
        T magnitude  (void) const;
        T magnitude2 (void) const;

        T difference  (const vector<S,T>&) const;
        T difference2 (const vector<S,T>&) const;

        vector<S,T>& normalise  (void);
        vector<S,T>  normalised [[gnu::warn_unused_result]] (void) const;

        // constants
        static const vector<S,T> ZERO;

        void sanity (void) const;
    };

    // polar/cartesian conversions; assumes (mag, angle) form.
    template <typename T> vector<2,T> polar_to_cartesian (vector<2,T>);
    template <typename T> vector<2,T> cartesian_to_polar (vector<2,T>);

    template <typename T> vector<3,T> cross (const vector<3,T>&, const vector<3,T>&);
    template <typename T> vector<3,T> spherical_to_cartesian (const vector<3,T>&);
    template <typename T> vector<3,T> cartesian_to_spherical (const vector<3,T>&);

    // output and serialisation operators
    template <size_t S, typename T> std::ostream& operator<< (std::ostream&, const vector<S,T>&);

    template <size_t S, typename T>
    const json::tree::node& operator>> (const json::tree::node&, vector<S,T>&);

    // convenience typedefs
    typedef vector<2,size_t> vector2u;
    typedef vector<2,intmax_t> vector2i;

    typedef vector<2,float> vector2f;
    typedef vector<3,float> vector3f;
    typedef vector<4,float> vector4f;

    typedef vector<2,double> vector2d;
    typedef vector<3,double> vector3d;
    typedef vector<3,double> vector4d;
}

#endif