@flatten-js/core

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href="global.html#segment">segment</a></li><li class="nav-item">M<a href="global.html#vector">vector</a></li><li class="nav-item">M<a href="global.html#CCW">CCW</a></li><li class="nav-item">M<a href="global.html#CW">CW</a></li><li class="nav-item">M<a href="global.html#ORIENTATION">ORIENTATION</a></li><li class="nav-item">M<a href="global.html#DP_TOL">DP_TOL</a></li><li class="nav-item">F<a href="global.html#setTolerance">setTolerance</a></li><li class="nav-item">F<a href="global.html#getTolerance">getTolerance</a></li><li class="nav-item">F<a href="global.html#EQ_0">EQ_0</a></li><li class="nav-item">F<a href="global.html#EQ">EQ</a></li><li class="nav-item">F<a href="global.html#GT">GT</a></li><li class="nav-item">F<a href="global.html#GE">GE</a></li><li class="nav-item">F<a href="global.html#LT">LT</a></li><li class="nav-item">F<a href="global.html#LE">LE</a></li> </nav> <div id="main"> <h1 class="page-title">algorithms/relation.js</h1> <section> <article> <pre class="prettyprint source linenums"><code>/* Calculate relationship between two shapes and return result in the form of Dimensionally Extended nine-Intersection Matrix (https://en.wikipedia.org/wiki/DE-9IM) */ /** * @module Relation */ "use strict"; import Flatten from "../flatten"; import DE9IM from "../data_structures/de9im"; import { intersectLine2Arc, intersectLine2Box, intersectLine2Circle, intersectLine2Line, intersectLine2Polygon, intersectSegment2Line, intersectPolygon2Polygon, intersectShape2Polygon, intersectCircle2Circle } from "./intersection"; import {Multiline} from "../classes/multiline"; import {ray_shoot} from "./ray_shooting"; import * as BooleanOperations from "./boolean_op"; let {vector,ray,segment,arc,polygon,multiline} = Flatten; /** * Returns true if shapes are topologically equal: their interiors intersect and * no part of the interior or boundary of one geometry intersects the exterior of the other * @param shape1 * @param shape2 * @returns {boolean} */ export function equal(shape1, shape2) { return relate(shape1, shape2).equal(); } /** * Returns true if shapes have at least one point in common, same as "not disjoint" * @param shape1 * @param shape2 * @returns {boolean} */ export function intersect(shape1, shape2) { return relate(shape1, shape2).intersect(); } /** * Returns true if shapes have at least one point in common, but their interiors do not intersect * @param shape1 * @param shape2 * @returns {boolean} */ export function touch(shape1, shape2) { return relate(shape1, shape2).touch(); } /** * Returns true if shapes have no points in common neither in interior nor in boundary * @param shape1 * @param shape2 * @returns {boolean} */ export function disjoint(shape1, shape2) { return !intersect(shape1, shape2); } /** * Returns true shape1 lies in the interior of shape2 * @param shape1 * @param shape2 * @returns {boolean} */ export function inside(shape1, shape2) { return relate(shape1, shape2).inside(); } /** * Returns true if every point in shape1 lies in the interior or on the boundary of shape2 * @param shape1 * @param shape2 * @returns {boolean} */ export function covered(shape1, shape2) { return relate(shape1, shape2).covered(); } /** * Returns true shape1's interior contains shape2 * Same as inside(shape2, shape1) * @param shape1 * @param shape2 * @returns {boolean} */ export function contain(shape1, shape2) { return inside(shape2, shape1); } /** * Returns true shape1's cover shape2, same as shape2 covered by shape1 * @param shape1 * @param shape2 * @returns {boolean} */ export function cover(shape1, shape2) { return covered(shape2, shape1); } /** * Returns relation between two shapes as intersection 3x3 matrix, where each * element contains relevant intersection as array of shapes. * If there is no intersection, element contains empty array * If intersection is irrelevant it left undefined. (For example, intersection * between two exteriors is usually irrelevant) * @param shape1 * @param shape2 * @returns {DE9IM} */ export function relate(shape1, shape2) { if (shape1 instanceof Flatten.Line && shape2 instanceof Flatten.Line) { return relateLine2Line(shape1, shape2); } else if (shape1 instanceof Flatten.Line && shape2 instanceof Flatten.Circle) { return relateLine2Circle(shape1, shape2); } else if (shape1 instanceof Flatten.Line && shape2 instanceof Flatten.Box) { return relateLine2Box(shape1, shape2); } else if ( shape1 instanceof Flatten.Line && shape2 instanceof Flatten.Polygon) { return relateLine2Polygon(shape1, shape2); } else if ( (shape1 instanceof Flatten.Segment || shape1 instanceof Flatten.Arc) && shape2 instanceof Flatten.Polygon) { return relateShape2Polygon(shape1, shape2); } else if ( (shape1 instanceof Flatten.Segment || shape1 instanceof Flatten.Arc) && (shape2 instanceof Flatten.Circle || shape2 instanceof Flatten.Box) ) { return relateShape2Polygon(shape1, new Flatten.Polygon(shape2)); } else if (shape1 instanceof Flatten.Polygon && shape2 instanceof Flatten.Polygon) { return relatePolygon2Polygon(shape1, shape2); } else if ((shape1 instanceof Flatten.Circle || shape1 instanceof Flatten.Box) && (shape2 instanceof Flatten.Circle || shape2 instanceof Flatten.Box)) { return relatePolygon2Polygon(new Flatten.Polygon(shape1), new Flatten.Polygon(shape2)); } else if ((shape1 instanceof Flatten.Circle || shape1 instanceof Flatten.Box) && shape2 instanceof Flatten.Polygon) { return relatePolygon2Polygon(new Flatten.Polygon(shape1), shape2); } else if (shape1 instanceof Flatten.Polygon && (shape2 instanceof Flatten.Circle || shape2 instanceof Flatten.Box)) { return relatePolygon2Polygon(shape1, new Flatten.Polygon(shape2)); } } function relateLine2Line(line1, line2) { let denim = new DE9IM(); let ip = intersectLine2Line(line1, line2); if (ip.length === 0) { // parallel or equal ? if (line1.contains(line2.pt) && line2.contains(line1.pt)) { denim.I2I = [line1]; // equal 'T.F...F..' - no boundary denim.I2E = []; denim.E2I = []; } else { // parallel - disjoint 'FFTFF*T**' denim.I2I = []; denim.I2E = [line1]; denim.E2I = [line2]; } } else { // intersect 'T********' denim.I2I = ip; denim.I2E = line1.split(ip); denim.E2I = line2.split(ip); } return denim; } function relateLine2Circle(line,circle) { let denim = new DE9IM(); let ip = intersectLine2Circle(line, circle); if (ip.length === 0) { denim.I2I = []; denim.I2B = []; denim.I2E = [line]; denim.E2I = [circle]; } else if (ip.length === 1) { denim.I2I = []; denim.I2B = ip; denim.I2E = line.split(ip); denim.E2I = [circle]; } else { // ip.length == 2 let multiline = new Multiline([line]); let ip_sorted = line.sortPoints(ip); multiline.split(ip_sorted); let splitShapes = multiline.toShapes(); denim.I2I = [splitShapes[1]]; denim.I2B = ip_sorted; denim.I2E = [splitShapes[0], splitShapes[2]]; denim.E2I = new Flatten.Polygon([circle.toArc()]).cut(multiline); } return denim; } function relateLine2Box(line, box) { let denim = new DE9IM(); let ip = intersectLine2Box(line, box); if (ip.length === 0) { denim.I2I = []; denim.I2B = []; denim.I2E = [line]; denim.E2I = [box]; } else if (ip.length === 1) { denim.I2I = []; denim.I2B = ip; denim.I2E = line.split(ip); denim.E2I = [box]; } else { // ip.length == 2 let multiline = new Multiline([line]); let ip_sorted = line.sortPoints(ip); multiline.split(ip_sorted); let splitShapes = multiline.toShapes(); /* Are two intersection points on the same segment of the box boundary ? */ if (box.toSegments().some( segment => segment.contains(ip[0]) && segment.contains(ip[1]) )) { denim.I2I = []; // case of touching denim.I2B = [splitShapes[1]]; denim.I2E = [splitShapes[0], splitShapes[2]]; denim.E2I = [box]; } else { // case of intersection denim.I2I = [splitShapes[1]]; // [segment(ip[0], ip[1])]; denim.I2B = ip_sorted; denim.I2E = [splitShapes[0], splitShapes[2]]; denim.E2I = new Flatten.Polygon(box.toSegments()).cut(multiline); } } return denim; } function relateLine2Polygon(line, polygon) { let denim = new DE9IM(); let ip = intersectLine2Polygon(line, polygon); let multiline = new Multiline([line]); let ip_sorted = ip.length > 0 ? ip.slice() : line.sortPoints(ip); multiline.split(ip_sorted); [...multiline].forEach(edge => edge.setInclusion(polygon)); denim.I2I = [...multiline].filter(edge => edge.bv === Flatten.INSIDE).map(edge => edge.shape); denim.I2B = [...multiline].slice(1).map( (edge) => edge.bv === Flatten.BOUNDARY ? edge.shape : edge.shape.start ); denim.I2E = [...multiline].filter(edge => edge.bv === Flatten.OUTSIDE).map(edge => edge.shape); denim.E2I = polygon.cut(multiline); return denim; } function relateShape2Polygon(shape, polygon) { let denim = new DE9IM(); let ip = intersectShape2Polygon(shape, polygon); let ip_sorted = ip.length > 0 ? ip.slice() : shape.sortPoints(ip); let multiline = new Multiline([shape]); multiline.split(ip_sorted); [...multiline].forEach(edge => edge.setInclusion(polygon)); denim.I2I = [...multiline].filter(edge => edge.bv === Flatten.INSIDE).map(edge => edge.shape); denim.I2B = [...multiline].slice(1).map( (edge) => edge.bv === Flatten.BOUNDARY ? edge.shape : edge.shape.start ); denim.I2E = [...multiline].filter(edge => edge.bv === Flatten.OUTSIDE).map(edge => edge.shape); denim.B2I = []; denim.B2B = []; denim.B2E = []; for (let pt of [shape.start, shape.end]) { switch (ray_shoot(polygon, pt)) { case Flatten.INSIDE: denim.B2I.push(pt); break; case Flatten.BOUNDARY: denim.B2B.push(pt); break; case Flatten.OUTSIDE: denim.B2E.push(pt); break; default: break; } } // denim.E2I TODO: calculate, not clear what is expected result return denim; } function relatePolygon2Polygon(polygon1, polygon2) { let denim = new DE9IM(); let [ip_sorted1, ip_sorted2] = BooleanOperations.calculateIntersections(polygon1, polygon2); let boolean_intersection = BooleanOperations.intersect(polygon1, polygon2); let boolean_difference1 = BooleanOperations.subtract(polygon1, polygon2); let boolean_difference2 = BooleanOperations.subtract(polygon2, polygon1); let [inner_clip_shapes1, inner_clip_shapes2] = BooleanOperations.innerClip(polygon1, polygon2); let outer_clip_shapes1 = BooleanOperations.outerClip(polygon1, polygon2); let outer_clip_shapes2 = BooleanOperations.outerClip(polygon2, polygon1); denim.I2I = boolean_intersection.isEmpty() ? [] : [boolean_intersection]; denim.I2B = inner_clip_shapes2; denim.I2E = boolean_difference1.isEmpty() ? [] : [boolean_difference1]; denim.B2I = inner_clip_shapes1; denim.B2B = ip_sorted1; denim.B2E = outer_clip_shapes1; denim.E2I = boolean_difference2.isEmpty() ? [] : [boolean_difference2]; denim.E2B = outer_clip_shapes2; // denim.E2E not relevant meanwhile return denim; } </code></pre> </article> </section> </div> <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>