/* * 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 . * * Copyright 2015 Danny Robson */ #include "line.hpp" #include "debug.hpp" //----------------------------------------------------------------------------- template util::line::line (util::point _p, util::vector _d): p (_p), d (_d) { CHECK_EQ (d.magnitude2 (), 1); } ///---------------------------------------------------------------------------- /// returns the distance along the line in a line-plane intersection /// /// returns inf if parallel /// returns 0 if colinear template T util::line::intersect (plane q) const { return dot (q.p - p, q.n) / dot (d, q.n); } ///---------------------------------------------------------------------------- /// returns the distance from origin to AABB intersection /// /// returns NaN on miss /// returns -ve if behind template T util::line::intersect (region r) const { auto t1 = (r.base () - p) / d; auto t2 = (r.away () - p) / d; auto vmin = min (t1, t2); auto vmax = min (t1, t2); auto tmin = min (vmax); auto tmax = max (vmin); if (tmax < 0) return tmax; if (tmin > tmax) return std::numeric_limits::quiet_NaN (); return tmin; } ///---------------------------------------------------------------------------- /// returns the closest parameter along the line to a given point template T util::line::closest (point q) const { // project the origin-point difference onto the direction return dot (p - q, d); } //----------------------------------------------------------------------------- template util::point util::line::at (T t) const { return p + d * t; } //----------------------------------------------------------------------------- template struct util::line<2,float>; template struct util::line<3,float>;