// Copyright 2013 The CGMath Developers. For a full listing of the authors, // refer to the AUTHORS file at the top-level directory of this distribution. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. use cgmath::line::*; use cgmath::point::*; use cgmath::intersect::Intersect; #[test] fn test_line_intersection() { // collinear, origins pointing towards each other, first intersection // from l1.origin is in an endpoint in l2 let l1 = Line::new(Point2::new(0.0, 0.0), Point2::new(10.0, 0.0)); let l2 = Line::new(Point2::new(1.5, 0.0), Point2::new(0.5, 0.0)); assert_eq!((l1, l2).intersection(), Some(Point2::new(0.5, 0.0))); // collinear, first intersection from p1.origin is at p1.origin itself let l3 = Line::new(Point2::new(0.0, 0.0), Point2::new(10.0, 0.0)); let l4 = Line::new(Point2::new(-11.0, 0.0), Point2::new(1.0, 0.0)); assert_eq!((l3, l4).intersection(), Some(Point2::new(0.0, 0.0))); // no intersection let l5 = Line::new(Point2::new(5.0, 5.0), Point2::new(10.0, 6.0)); let l6 = Line::new(Point2::new(5.0, 4.8), Point2::new(10.0, 4.1)); assert_eq!((l5, l6).intersection(), None); // no intersection // collinear, origins pointing same direction let l7 = Line::new(Point2::new(0.0, 1.0), Point2::new(0.0, 0.0)); let l8 = Line::new(Point2::new(0.0, 0.5), Point2::new(0.0, -0.5)); assert_eq!((l7, l8).intersection(), Some(Point2::new(0.0, 0.5))); // collinear, no overlap let l9 = Line::new(Point2::new(0.0, 0.0), Point2::new(3.0, 0.0)); let l10 = Line::new(Point2::new(10.0, 0.0), Point2::new(5.0, 0.0)); assert_eq!((l9, l10).intersection(), None); // intersection found let l11 = Line::new(Point2::new(0.0, 0.0), Point2::new(10.0, 10.0)); let l12 = Line::new(Point2::new(0.0, 10.0), Point2::new(10.0, 0.0)); assert_eq!((l11, l12).intersection(), Some(Point2::new(5.0, 5.0))); // special case of both lines being the same point let l13 = Line::new(Point2::new(0.0, 0.0), Point2::new(0.0, 0.0)); let l14 = Line::new(Point2::new(0.0, 0.0), Point2::new(0.0, 0.0)); assert_eq!((l13, l14).intersection(), Some(Point2::new(0.0, 0.0))); // both lines are points that are distinct let l15 = Line::new(Point2::new(0.0, 0.0), Point2::new(0.0, 0.0)); let l16 = Line::new(Point2::new(1.0, 0.0), Point2::new(1.0, 0.0)); assert_eq!((l15, l16).intersection(), None); // one line is a point that intersects the other segment let l15 = Line::new(Point2::new(0.0, 0.0), Point2::new(10.0, 0.0)); let l16 = Line::new(Point2::new(3.0, 0.0), Point2::new(3.0, 0.0)); assert_eq!((l15, l16).intersection(), Some(Point2::new(3.0, 0.0))); // one line is a point that is collinear but does not intersect with // the other line let l17 = Line::new(Point2::new(0.0, 0.0), Point2::new(0.0, 0.0)); let l18 = Line::new(Point2::new(1.0, 0.0), Point2::new(3.0, 0.0)); assert_eq!((l17, l18).intersection(), None); // one line is a point that is not collinear but does not intersect // with the other line let l19 = Line::new(Point2::new(0.0, 0.0), Point2::new(0.0, 0.0)); let l20 = Line::new(Point2::new(1.0, 0.0), Point2::new(2.0, 10.0)); assert_eq!((l19, l20).intersection(), None); }