@flatten-js/core/test/classes/ray.js

Javascript library for 2d geometry

/**
 * Created by Alex Bol on 9/8/2017.
 */


'use strict';

import { expect } from 'chai';
import Flatten from '../../index';

import {Point, Vector, Circle, Line, Segment, Arc, Box, Polygon, Edge, Face, Ray} from '../../index';
import {point, vector, circle, line, segment, arc, ray} from '../../index';

describe('#Flatten.Ray', function() {
    it('May create new instance of Ray', function () {
        let ray = new Ray();
        expect(ray).to.be.an.instanceof(Ray);
        expect(ray.start).to.be.deep.equal({x:0,y:0})
    });
    it('May return bounding box of ray', function () {
        let ray = new Ray(point(2,2));
        expect(ray.box).to.be.deep.equal({xmin:2,ymin:2,xmax:Number.POSITIVE_INFINITY,ymax:2});
    });
    it('May find intersection between ray and segment. Case 1. Quick reject', function() {
        let r =  ray(point(2,2));
        let seg = segment(point(0,3), point(1,1));
        let ip = r.intersect(seg);
        expect(ip.length).to.be.equal(0);
    });
    it('May find intersection between ray and segment. Case 2. No intersection', function() {
        let r =  ray(point(2,2));
        let seg = segment(point(0,3), point(3,0));
        let ip = r.intersect(seg);
        expect(ip.length).to.be.equal(0);
    });
    it('May find intersection between ray and segment. Case 3. Start intersection', function() {
        let r =  ray(point(2,2));
        let seg = segment(point(1,1), point(3,3));
        let ip = r.intersect(seg);
        expect(ip.length).to.be.equal(1);
        expect(ip[0]).to.be.deep.equal(point(2,2));
    });
    it('May find intersection between ray and segment. Case 4. One not start intersection', function() {
        let r =  ray(point(2,2));
        let seg = segment(point(4,0), point(4,4));
        let ip = r.intersect(seg);
        expect(ip.length).to.be.equal(1);
        expect(ip[0]).to.be.deep.equal(point(4,2));
    });
    it('May find intersection between ray and segment. Case 5. Two intersections', function() {
        let r =  ray(point(2,2));
        let seg = segment(point(4,2), point(8,2));
        let ip = r.intersect(seg);
        expect(ip.length).to.be.equal(2);
        expect(ip[0]).to.be.deep.equal(point(4,2));
        expect(ip[1]).to.be.deep.equal(point(8,2));
    });
    it('May find intersection between ray and arc. Case 1. Quick reject', function() {
        let r =  ray(point(3,3));
        let a = arc(point(6,0), 2, 0, Math.PI, Flatten.CCW);
        let ip = r.intersect(a);
        expect(ip.length).to.be.equal(0);
    });
    it('May find intersection between ray and arc. Case 2. No interection', function() {
        let r =  ray(point(3,3));
        let a = arc(point(4,3), 2, Math.PI/2, 3*Math.PI/2, Flatten.CCW);
        let ip = r.intersect(a);
        expect(ip.length).to.be.equal(0);
    });
    it('May find intersection between ray and arc. Case 3. One touching interection', function() {
        let r =  ray(point(3,3));
        let a = arc(point(6, 0), 3, Math.PI/2, 3*Math.PI/2, Flatten.CCW);
        let ip = r.intersect(a);
        expect(ip.length).to.be.equal(1);
        expect(ip[0]).to.be.deep.equal(point(6,3));
    });
    it('May find intersection between ray and arc. Case 4. One regular interection', function() {
        let r =  ray(point(3,3));
        let a = arc(point(4,3), 2, Math.PI/2, 3*Math.PI/2, Flatten.CW);
        let ip = r.intersect(a);
        expect(ip.length).to.be.equal(1);
        expect(ip[0]).to.be.deep.equal(point(6,3));
    });
    it('May find intersection between ray and arc. Case 5. Two interections', function() {
        let r =  ray(point(3,3));
        let a = arc(point(6,3), 3, 0, Math.PI, Flatten.CW);
        let ip = r.intersect(a);
        expect(ip.length).to.be.equal(2);
        expect(ip[0]).to.be.deep.equal(point(3,3));
        expect(ip[1]).to.be.deep.equal(point(9,3));
    });
    it ('May construct and treat ray by pi/4 slope', function () {
        let r = ray(point(3,3),vector(Math.cos(3*Math.PI/4), Math.sin(3*Math.PI/4)));
        let seg = segment(point(10,0),point(0,10));
        expect(r.slope).to.equal(Math.PI/4);
        expect(r.box.xmin).to.equal(3);
        expect(r.box.ymin).to.equal(3);
        expect(r.box.xmax).to.equal(Number.POSITIVE_INFINITY);
        expect(r.box.ymax).to.equal(Number.POSITIVE_INFINITY);
        expect(r.contains(point(5,5))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(5,5))).to.be.true;
    });
    it ('May construct and treat ray by pi/2 slope', function () {
        let r = ray(point(3,3),vector(Math.cos(Math.PI), Math.sin(Math.PI)));
        let seg = segment(point(-10,5),point(10,5));
        expect(r.slope).to.equal(Math.PI/2);
        expect(r.box.xmin).to.equal(3);
        expect(r.box.ymin).to.equal(3);
        expect(r.box.xmax).to.equal(3);
        expect(r.box.ymax).to.equal(Number.POSITIVE_INFINITY);
        expect(r.contains(point(3,5))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(3,5))).to.be.true;
    });
    it ('May construct and treat ray by 3*pi/4 slope', function () {
        let r = ray(point(-3,3),vector(Math.cos(5*Math.PI/4), Math.sin(5*Math.PI/4)));
        let seg = segment(point(-10,0),point(0,10));
        expect(r.slope).to.equal(3*Math.PI/4);
        expect(r.box.xmin).to.equal(Number.NEGATIVE_INFINITY);
        expect(r.box.ymin).to.equal(3);
        expect(r.box.xmax).to.equal(-3);
        expect(r.box.ymax).to.equal(Number.POSITIVE_INFINITY);
        expect(r.contains(point(-5,5))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(-5,5))).to.be.true;
    });
    it ('May construct and treat ray by pi slope', function () {
        let r = ray(point(3,3),vector(Math.cos(3*Math.PI/2), Math.sin(3*Math.PI/2)));
        let seg = segment(point(-10,0),point(-10,5));
        expect(r.slope).to.equal(Math.PI);
        expect(r.box.xmin).to.equal(Number.NEGATIVE_INFINITY);
        expect(r.box.ymin).to.equal(3);
        expect(r.box.xmax).to.equal(3);
        expect(r.box.ymax).to.equal(3);
        expect(r.contains(point(-10,3))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(-10,3))).to.be.true;
    });
    it ('May construct and treat ray by 5*pi/4 slope', function () {
        let r = ray(point(-3,-3),vector(Math.cos(7*Math.PI/4), Math.sin(7*Math.PI/4)));
        let seg = segment(point(-10,0),point(0,-10));
        expect(Flatten.Utils.EQ(r.slope,5*Math.PI/4)).to.be.true;
        expect(r.box.xmin).to.equal(Number.NEGATIVE_INFINITY);
        expect(r.box.ymin).to.equal(Number.NEGATIVE_INFINITY);
        expect(r.box.xmax).to.equal(-3);
        expect(r.box.ymax).to.equal(-3);
        expect(r.contains(point(-5,-5))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(-5,-5))).to.be.true;
    });
    it ('May construct and treat ray by 3*pi/2 slope', function () {
        let r = ray(point(0,-3),vector(Math.cos(0), Math.sin(0)));
        let seg = segment(point(10,-5),point(-10,-5));
        expect(r.slope).to.equal(3*Math.PI/2);
        expect(r.box.xmin).to.equal(0);
        expect(r.box.ymin).to.equal(Number.NEGATIVE_INFINITY);
        expect(r.box.xmax).to.equal(0);
        expect(r.box.ymax).to.equal(-3);
        expect(r.contains(point(0,-5))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(0,-5))).to.be.true;
    });
    it ('May construct and treat ray by 7*pi/4 slope', function () {
        let r = ray(point(3,-3),vector(Math.cos(Math.PI/4), Math.sin(Math.PI/4)));
        let seg = segment(point(10,0),point(0,-10));
        expect(Flatten.Utils.EQ(r.slope,7*Math.PI/4)).to.be.true;
        expect(r.box.xmin).to.equal(3);
        expect(r.box.ymin).to.equal(Number.NEGATIVE_INFINITY);
        expect(r.box.xmax).to.equal(Number.POSITIVE_INFINITY);
        expect(r.box.ymax).to.equal(-3);
        expect(r.contains(point(5,-5))).to.be.true;
        expect(r.intersect(seg)[0].equalTo(point(5,-5))).to.be.true;
    });
});