@flatten-js/core
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Javascript library for 2d geometry
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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 href="Segment.html#tangentInStart">tangentInStart</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#tangentInEnd">tangentInEnd</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#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="Segment.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="Segment.html#middle">middle</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#translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span 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<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 < 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 && intersection.pt.equalTo(intersections[i - 1].pt) &&
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 && !cur_on_the_left) || (!prev_on_the_left && 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 && intersection.pt.equalTo(intersections[i - 1].pt) &&
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 && !cur_on_the_left) || (!next_on_the_left && 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>
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