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@flatten-js/core

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Javascript library for 2d geometry

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<!DOCTYPE html> <html lang="en"> <head> <meta charset="utf-8"> <meta content="width=device-width,initial-scale=1" name="viewport"> <title>algorithms/ray_shooting.js - Documentation</title> <script src="scripts/prettify/prettify.js"></script> <script src="scripts/prettify/lang-css.js"></script> <!--[if lt IE 9]> <script src="//html5shiv.googlecode.com/svn/trunk/html5.js"></script> <![endif]--> <link href="https://code.ionicframework.com/ionicons/2.0.1/css/ionicons.min.css" rel="stylesheet" type="text/css"> <link href="styles/prettify-tomorrow.css" rel="stylesheet" type="text/css"> <link href="styles/jsdoc-default.css" rel="stylesheet" type="text/css"> </head> <body> <input class="nav-trigger" id="nav-trigger" type="checkbox" /> <label class="navicon-button x" for="nav-trigger"> <div class="navicon"></div> </label> <label class="overlay" for="nav-trigger"></label> <nav> <li class="nav-link nav-home-link"><a href="index.html">Home</a></li><li class="nav-heading">Classes</li><li 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href="Face.html#insert">insert</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Face.html#remove">remove</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Face.html#reverse">reverse</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Face.html#setArcLength">setArcLength</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Face.html#area">area</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Face.html#signedArea">signedArea</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Face.html#orientation">orientation</a></span></li><li class="nav-item"><span 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href="Line.html#parallelTo">parallelTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#incidentTo">incidentTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#contains">contains</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#coord">coord</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#intersect">intersect</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#distanceTo">distanceTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#split">split</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#sortPoints">sortPoints</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#toJSON">toJSON</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Line.html#svg">svg</a></span></li><li class="nav-heading"><span class="nav-item-type type-class">C</span><span class="nav-item-name"><a href="Matrix.html">Matrix</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#clone">clone</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#transform">transform</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#multiply">multiply</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#rotate">rotate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#scale">scale</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Matrix.html#equalTo">equalTo</a></span></li><li class="nav-heading"><span class="nav-item-type type-class">C</span><span class="nav-item-name"><a href="Multiline.html">Multiline</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#clone">clone</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#addVertex">addVertex</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#split">split</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#findEdgeByPoint">findEdgeByPoint</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#rotate">rotate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#transform">transform</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#toShapes">toShapes</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#toJSON">toJSON</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Multiline.html#svg">svg</a></span></li><li class="nav-heading"><span class="nav-item-type type-class">C</span><span class="nav-item-name"><a href="Point.html">Point</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#clone">clone</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#equalTo">equalTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#lessThan">lessThan</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#rotate">rotate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#transform">transform</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#projectionOn">projectionOn</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#leftTo">leftTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#distanceTo">distanceTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#on">on</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#toJSON">toJSON</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Point.html#svg">svg</a></span></li><li class="nav-heading"><span class="nav-item-type type-class">C</span><span class="nav-item-name"><a href="Polygon.html">Polygon</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#clone">clone</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#isEmpty">isEmpty</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#isValid">isValid</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#area">area</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#addFace">addFace</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#deleteFace">deleteFace</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#removeChain">removeChain</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#addVertex">addVertex</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#cut">cut</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#cutFace">cutFace</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#findEdgeByPoint">findEdgeByPoint</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#splitToIslands">splitToIslands</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#reverse">reverse</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#contains">contains</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#distanceTo">distanceTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#intersect">intersect</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#rotate">rotate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#transform">transform</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#toJSON">toJSON</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#toArray">toArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Polygon.html#svg">svg</a></span></li><li class="nav-heading"><span class="nav-item-type type-class">C</span><span class="nav-item-name"><a href="Ray.html">Ray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Ray.html#clone">clone</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Ray.html#contains">contains</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Ray.html#split">split</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Ray.html#intersect">intersect</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Ray.html#svg">svg</a></span></li><li class="nav-heading"><span class="nav-item-type type-class">C</span><span class="nav-item-name"><a href="Segment.html">Segment</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Segment.html#clone">clone</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Segment.html#equalTo">equalTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Segment.html#contains">contains</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Segment.html#intersect">intersect</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="Segment.html#distanceTo">distanceTo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a 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type-function">F</span><span class="nav-item-name"><a href="global.html#LT">LT</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="global.html#LE">LE</a></span></li> </nav> <div id="main"> <h1 class="page-title">algorithms/ray_shooting.js</h1> <section> <article> <pre class="prettyprint source linenums"><code>/** * @module RayShoot */ "use strict"; import Flatten from '../flatten'; import * as Utils from '../utils/utils'; /** * Implements ray shooting algorithm. Returns relation between point and polygon: inside, outside or boundary * @param {Polgon} polygon - polygon to test * @param {Point} point - point to test * @returns {Flatten.Inside|Flatten.OUTSIDE|Flatten.Boundary} */ export function ray_shoot(polygon, point) { let contains = undefined; // 1. Quick reject // if (polygon.box.not_intersect(point.box)) { // return Flatten.OUTSIDE; // } let ray = new Flatten.Ray(point); let line = new Flatten.Line(ray.pt, ray.norm); // 2. Locate relevant edges of the polygon const searchBox = new Flatten.Box( ray.box.xmin-Flatten.DP_TOL, ray.box.ymin-Flatten.DP_TOL, ray.box.xmax, ray.box.ymax+Flatten.DP_TOL ); if (polygon.box.not_intersect(searchBox)) { return Flatten.OUTSIDE; } let resp_edges = polygon.edges.search(searchBox); if (resp_edges.length == 0) { return Flatten.OUTSIDE; } // 2.5 Check if boundary for (let edge of resp_edges) { if (edge.shape.contains(point)) { return Flatten.BOUNDARY; } } // 3. Calculate intersections let intersections = []; for (let edge of resp_edges) { for (let ip of ray.intersect(edge.shape)) { // If intersection is equal to query point then point lays on boundary if (ip.equalTo(point)) { return Flatten.BOUNDARY; } intersections.push({ pt: ip, edge: edge }); } } // 4. Sort intersection in x-ascending order intersections.sort((i1, i2) => { if (Utils.LT(i1.pt.x, i2.pt.x)) { return -1; } if (Utils.GT(i1.pt.x, i2.pt.x)) { return 1; } return 0; }); // 5. Count real intersections, exclude touching let counter = 0; for (let i = 0; i &lt; intersections.length; i++) { let intersection = intersections[i]; if (intersection.pt.equalTo(intersection.edge.shape.start)) { /* skip same point between same edges if already counted */ if (i > 0 &amp;&amp; intersection.pt.equalTo(intersections[i - 1].pt) &amp;&amp; intersection.edge.prev === intersections[i - 1].edge) { continue; } let prev_edge = intersection.edge.prev; while (Utils.EQ_0(prev_edge.length)) { prev_edge = prev_edge.prev; } let prev_tangent = prev_edge.shape.tangentInEnd(); let prev_point = intersection.pt.translate(prev_tangent); let cur_tangent = intersection.edge.shape.tangentInStart(); let cur_point = intersection.pt.translate(cur_tangent); let prev_on_the_left = prev_point.leftTo(line); let cur_on_the_left = cur_point.leftTo(line); if ((prev_on_the_left &amp;&amp; !cur_on_the_left) || (!prev_on_the_left &amp;&amp; cur_on_the_left)) { counter++; } } else if (intersection.pt.equalTo(intersection.edge.shape.end)) { /* skip same point between same edges if already counted */ if (i > 0 &amp;&amp; intersection.pt.equalTo(intersections[i - 1].pt) &amp;&amp; intersection.edge.next === intersections[i - 1].edge) { continue; } let next_edge = intersection.edge.next; while (Utils.EQ_0(next_edge.length)) { next_edge = next_edge.next; } let next_tangent = next_edge.shape.tangentInStart(); let next_point = intersection.pt.translate(next_tangent); let cur_tangent = intersection.edge.shape.tangentInEnd(); let cur_point = intersection.pt.translate(cur_tangent); let next_on_the_left = next_point.leftTo(line); let cur_on_the_left = cur_point.leftTo(line); if ((next_on_the_left &amp;&amp; !cur_on_the_left) || (!next_on_the_left &amp;&amp; cur_on_the_left)) { counter++; } } else { /* intersection point is not a coincident with a vertex */ if (intersection.edge.shape instanceof Flatten.Segment) { counter++; } else { /* Check if ray does not touch the curve in the extremal (top or bottom) point */ let box = intersection.edge.shape.box; if (!(Utils.EQ(intersection.pt.y, box.ymin) || Utils.EQ(intersection.pt.y, box.ymax))) { counter++; } } } } // 6. Odd or even? contains = counter % 2 == 1 ? Flatten.INSIDE : Flatten.OUTSIDE; return contains; }; </code></pre> </article> </section> </div> <br class="clear"> <footer> Generated by <a href="https://github.com/jsdoc3/jsdoc">JSDoc 3.6.3</a> on Sun May 16 2021 15:05:05 GMT+0300 (Israel Daylight Time) using the Minami theme. </footer> <script>prettyPrint();</script> <script src="scripts/linenumber.js"></script> </body> </html>