@flatten-js/core

<!DOCTYPE html> <html lang="en"> <head> <meta charset="utf-8"> <meta name="viewport" content="width=device-width,initial-scale=1"> <title>classes/vector.js - Documentation</title> <script src="scripts/prettify/prettify.js"></script> <script src="scripts/prettify/lang-css.js"></script>  <link type="text/css" rel="stylesheet" href="https://code.ionicframework.com/ionicons/2.0.1/css/ionicons.min.css"> <link type="text/css" rel="stylesheet" href="styles/prettify-tomorrow.css"> <link type="text/css" rel="stylesheet" href="styles/jsdoc-default.css"> </head> <body> <input type="checkbox" id="nav-trigger" class="nav-trigger" /> <label for="nav-trigger" class="navicon-button x"> <div class="navicon"></div> </label> <label for="nav-trigger" class="overlay"></label> <nav> <li class="nav-link nav-home-link"><a href="index.html">Home</a></li><li class="nav-heading">Classes</li><li class="nav-heading">C<a href="Arc.html">Arc</a></li><li class="nav-item">F<a href="Arc.html#clone">clone</a></li><li class="nav-item">F<a href="Arc.html#contains">contains</a></li><li class="nav-item">F<a href="Arc.html#split">split</a></li><li class="nav-item">F<a href="Arc.html#middle">middle</a></li><li class="nav-item">F<a href="Arc.html#chordHeight">chordHeight</a></li><li class="nav-item">F<a href="Arc.html#intersect">intersect</a></li><li class="nav-item">F<a href="Arc.html#distanceTo">distanceTo</a></li><li class="nav-item">F<a href="Arc.html#breakToFunctional">breakToFunctional</a></li><li class="nav-item">F<a href="Arc.html#tangentInStart">tangentInStart</a></li><li class="nav-item">F<a href="Arc.html#tangentInEnd">tangentInEnd</a></li><li class="nav-item">F<a href="Arc.html#reverse">reverse</a></li><li class="nav-item">F<a href="Arc.html#translate">translate</a></li><li class="nav-item">F<a href="Arc.html#rotate">rotate</a></li><li class="nav-item">F<a href="Arc.html#scale">scale</a></li><li class="nav-item">F<a href="Arc.html#transform">transform</a></li><li class="nav-item">F<a href="Arc.html#sortPoints">sortPoints</a></li><li class="nav-item">F<a href="Arc.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Arc.html#svg">svg</a></li><li class="nav-heading">C<a href="Box.html">Box</a></li><li class="nav-item">F<a href="Box.html#clone">clone</a></li><li class="nav-item">F<a href="Box.html#not_intersect">not_intersect</a></li><li class="nav-item">F<a href="Box.html#intersect">intersect</a></li><li class="nav-item">F<a href="Box.html#merge">merge</a></li><li class="nav-item">F<a href="Box.html#less_than">less_than</a></li><li class="nav-item">F<a href="Box.html#equal_to">equal_to</a></li><li class="nav-item">F<a href="Box.html#set">set</a></li><li class="nav-item">F<a href="Box.html#toPoints">toPoints</a></li><li class="nav-item">F<a href="Box.html#toSegments">toSegments</a></li><li class="nav-item">F<a href="Box.html#svg">svg</a></li><li class="nav-heading">C<a href="Circle.html">Circle</a></li><li class="nav-item">F<a href="Circle.html#clone">clone</a></li><li class="nav-item">F<a href="Circle.html#contains">contains</a></li><li class="nav-item">F<a href="Circle.html#toArc">toArc</a></li><li class="nav-item">F<a href="Circle.html#intersect">intersect</a></li><li class="nav-item">F<a href="Circle.html#distanceTo">distanceTo</a></li><li class="nav-item">F<a href="Circle.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Circle.html#svg">svg</a></li><li class="nav-heading">C<a href="Edge.html">Edge</a></li><li class="nav-item">F<a href="Edge.html#middle">middle</a></li><li class="nav-item">F<a href="Edge.html#contains">contains</a></li><li class="nav-item">F<a href="Edge.html#setInclusion">setInclusion</a></li><li class="nav-item">F<a href="Edge.html#setOverlap">setOverlap</a></li><li class="nav-heading">C<a href="Face.html">Face</a></li><li class="nav-item">F<a href="Face.html#append">append</a></li><li class="nav-item">F<a href="Face.html#insert">insert</a></li><li class="nav-item">F<a href="Face.html#remove">remove</a></li><li class="nav-item">F<a href="Face.html#reverse">reverse</a></li><li class="nav-item">F<a href="Face.html#setArcLength">setArcLength</a></li><li class="nav-item">F<a href="Face.html#area">area</a></li><li class="nav-item">F<a href="Face.html#signedArea">signedArea</a></li><li class="nav-item">F<a href="Face.html#orientation">orientation</a></li><li class="nav-item">F<a href="Face.html#isSimple">isSimple</a></li><li class="nav-item">F<a href="Face.html#findEdgeByPoint">findEdgeByPoint</a></li><li class="nav-item">F<a href="Face.html#toPolygon">toPolygon</a></li><li class="nav-item">F<a href="Face.html#svg">svg</a></li><li class="nav-heading">C<a href="Line.html">Line</a></li><li class="nav-item">F<a href="Line.html#clone">clone</a></li><li class="nav-item">F<a href="Line.html#parallelTo">parallelTo</a></li><li class="nav-item">F<a href="Line.html#incidentTo">incidentTo</a></li><li class="nav-item">F<a href="Line.html#contains">contains</a></li><li class="nav-item">F<a href="Line.html#coord">coord</a></li><li class="nav-item">F<a href="Line.html#intersect">intersect</a></li><li class="nav-item">F<a href="Line.html#distanceTo">distanceTo</a></li><li class="nav-item">F<a href="Line.html#split">split</a></li><li class="nav-item">F<a href="Line.html#sortPoints">sortPoints</a></li><li class="nav-item">F<a href="Line.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Line.html#svg">svg</a></li><li class="nav-heading">C<a href="Matrix.html">Matrix</a></li><li class="nav-item">F<a href="Matrix.html#clone">clone</a></li><li class="nav-item">F<a href="Matrix.html#transform">transform</a></li><li class="nav-item">F<a href="Matrix.html#multiply">multiply</a></li><li class="nav-item">F<a href="Matrix.html#translate">translate</a></li><li class="nav-item">F<a href="Matrix.html#rotate">rotate</a></li><li class="nav-item">F<a href="Matrix.html#scale">scale</a></li><li class="nav-item">F<a href="Matrix.html#equalTo">equalTo</a></li><li class="nav-heading">C<a href="Multiline.html">Multiline</a></li><li class="nav-item">F<a href="Multiline.html#clone">clone</a></li><li class="nav-item">F<a href="Multiline.html#addVertex">addVertex</a></li><li class="nav-item">F<a href="Multiline.html#split">split</a></li><li class="nav-item">F<a href="Multiline.html#findEdgeByPoint">findEdgeByPoint</a></li><li class="nav-item">F<a href="Multiline.html#translate">translate</a></li><li class="nav-item">F<a href="Multiline.html#rotate">rotate</a></li><li class="nav-item">F<a href="Multiline.html#transform">transform</a></li><li class="nav-item">F<a href="Multiline.html#toShapes">toShapes</a></li><li class="nav-item">F<a href="Multiline.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Multiline.html#svg">svg</a></li><li class="nav-heading">C<a href="Point.html">Point</a></li><li class="nav-item">F<a href="Point.html#clone">clone</a></li><li class="nav-item">F<a href="Point.html#equalTo">equalTo</a></li><li class="nav-item">F<a href="Point.html#lessThan">lessThan</a></li><li class="nav-item">F<a href="Point.html#rotate">rotate</a></li><li class="nav-item">F<a href="Point.html#translate">translate</a></li><li class="nav-item">F<a href="Point.html#transform">transform</a></li><li class="nav-item">F<a href="Point.html#projectionOn">projectionOn</a></li><li class="nav-item">F<a href="Point.html#leftTo">leftTo</a></li><li class="nav-item">F<a href="Point.html#distanceTo">distanceTo</a></li><li class="nav-item">F<a href="Point.html#on">on</a></li><li class="nav-item">F<a href="Point.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Point.html#svg">svg</a></li><li class="nav-heading">C<a href="Polygon.html">Polygon</a></li><li class="nav-item">F<a href="Polygon.html#clone">clone</a></li><li class="nav-item">F<a href="Polygon.html#isEmpty">isEmpty</a></li><li class="nav-item">F<a href="Polygon.html#isValid">isValid</a></li><li class="nav-item">F<a href="Polygon.html#area">area</a></li><li class="nav-item">F<a href="Polygon.html#addFace">addFace</a></li><li class="nav-item">F<a href="Polygon.html#deleteFace">deleteFace</a></li><li class="nav-item">F<a href="Polygon.html#removeChain">removeChain</a></li><li class="nav-item">F<a href="Polygon.html#addVertex">addVertex</a></li><li class="nav-item">F<a href="Polygon.html#cut">cut</a></li><li class="nav-item">F<a href="Polygon.html#cutFace">cutFace</a></li><li class="nav-item">F<a href="Polygon.html#findEdgeByPoint">findEdgeByPoint</a></li><li class="nav-item">F<a href="Polygon.html#splitToIslands">splitToIslands</a></li><li class="nav-item">F<a href="Polygon.html#reverse">reverse</a></li><li class="nav-item">F<a href="Polygon.html#contains">contains</a></li><li class="nav-item">F<a href="Polygon.html#distanceTo">distanceTo</a></li><li class="nav-item">F<a href="Polygon.html#intersect">intersect</a></li><li class="nav-item">F<a href="Polygon.html#translate">translate</a></li><li class="nav-item">F<a href="Polygon.html#rotate">rotate</a></li><li class="nav-item">F<a href="Polygon.html#transform">transform</a></li><li class="nav-item">F<a href="Polygon.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Polygon.html#toArray">toArray</a></li><li class="nav-item">F<a href="Polygon.html#svg">svg</a></li><li class="nav-heading">C<a href="Ray.html">Ray</a></li><li class="nav-item">F<a href="Ray.html#clone">clone</a></li><li class="nav-item">F<a href="Ray.html#contains">contains</a></li><li class="nav-item">F<a href="Ray.html#split">split</a></li><li class="nav-item">F<a href="Ray.html#intersect">intersect</a></li><li class="nav-item">F<a href="Ray.html#svg">svg</a></li><li class="nav-heading">C<a href="Segment.html">Segment</a></li><li class="nav-item">F<a href="Segment.html#clone">clone</a></li><li class="nav-item">F<a href="Segment.html#equalTo">equalTo</a></li><li class="nav-item">F<a href="Segment.html#contains">contains</a></li><li class="nav-item">F<a href="Segment.html#intersect">intersect</a></li><li class="nav-item">F<a href="Segment.html#distanceTo">distanceTo</a></li><li class="nav-item">F<a href="Segment.html#tangentInStart">tangentInStart</a></li><li class="nav-item">F<a href="Segment.html#tangentInEnd">tangentInEnd</a></li><li class="nav-item">F<a href="Segment.html#reverse">reverse</a></li><li class="nav-item">F<a href="Segment.html#split">split</a></li><li class="nav-item">F<a href="Segment.html#middle">middle</a></li><li class="nav-item">F<a href="Segment.html#translate">translate</a></li><li class="nav-item">F<a href="Segment.html#rotate">rotate</a></li><li class="nav-item">F<a href="Segment.html#transform">transform</a></li><li class="nav-item">F<a href="Segment.html#isZeroLength">isZeroLength</a></li><li class="nav-item">F<a href="Segment.html#sortPoints">sortPoints</a></li><li class="nav-item">F<a href="Segment.html#toJSON">toJSON</a></li><li class="nav-item">F<a href="Segment.html#svg">svg</a></li><li class="nav-heading">C<a href="Vector.html">Vector</a></li><li class="nav-item">F<a href="Vector.html#clone">clone</a></li><li class="nav-item">F<a href="Vector.html#equalTo">equalTo</a></li><li class="nav-item">F<a href="Vector.html#multiply">multiply</a></li><li class="nav-item">F<a href="Vector.html#dot">dot</a></li><li class="nav-item">F<a href="Vector.html#cross">cross</a></li><li class="nav-item">F<a href="Vector.html#normalize">normalize</a></li><li class="nav-item">F<a href="Vector.html#rotate">rotate</a></li><li class="nav-item">F<a href="Vector.html#rotate90CCW">rotate90CCW</a></li><li class="nav-item">F<a href="Vector.html#rotate90CW">rotate90CW</a></li><li class="nav-item">F<a href="Vector.html#invert">invert</a></li><li class="nav-item">F<a href="Vector.html#add">add</a></li><li class="nav-item">F<a href="Vector.html#subtract">subtract</a></li><li class="nav-item">F<a href="Vector.html#angleTo">angleTo</a></li><li class="nav-item">F<a href="Vector.html#projectionOn">projectionOn</a></li><li class="nav-item">F<a href="Vector.html#toJSON">toJSON</a></li><li class="nav-heading">C<a href="CircularLinkedList.html">CircularLinkedList</a></li><li class="nav-item">F<a href="CircularLinkedList.html#append">append</a></li><li class="nav-item">F<a href="CircularLinkedList.html#insert">insert</a></li><li class="nav-item">F<a href="CircularLinkedList.html#remove">remove</a></li><li class="nav-heading">C<a href="DE9IM.html">DE9IM</a></li><li class="nav-item">F<a href="DE9IM.html#toString">toString</a></li><li class="nav-heading">C<a href="LinkedList.html">LinkedList</a></li><li class="nav-item">F<a href="LinkedList.html#toArray">toArray</a></li><li class="nav-item">F<a href="LinkedList.html#append">append</a></li><li class="nav-item">F<a href="LinkedList.html#insert">insert</a></li><li class="nav-item">F<a href="LinkedList.html#remove">remove</a></li><li class="nav-item">F<a href="LinkedList.html#isEmpty">isEmpty</a></li><li class="nav-item">F<a href="LinkedList.html#.testInfiniteLoop">testInfiniteLoop</a></li><li class="nav-heading">C<a href="PlanarSet.html">PlanarSet</a></li><li class="nav-item">F<a href="PlanarSet.html#add">add</a></li><li class="nav-item">F<a href="PlanarSet.html#delete">delete</a></li><li class="nav-item">F<a href="PlanarSet.html#clear">clear</a></li><li class="nav-item">F<a href="PlanarSet.html#search">search</a></li><li class="nav-item">F<a href="PlanarSet.html#hit">hit</a></li><li class="nav-item">F<a href="PlanarSet.html#svg">svg</a></li><li class="nav-heading">C<a href="Errors.html">Errors</a></li><li class="nav-heading">Modules</li><li class="nav-heading">M<a href="module-BooleanOperations.html">BooleanOperations</a></li><li class="nav-item">F<a href="module-BooleanOperations.html#.unify">unify</a></li><li class="nav-item">F<a href="module-BooleanOperations.html#.subtract">subtract</a></li><li class="nav-item">F<a href="module-BooleanOperations.html#.intersect">intersect</a></li><li class="nav-item">F<a href="module-BooleanOperations.html#.innerClip">innerClip</a></li><li class="nav-item">F<a href="module-BooleanOperations.html#.outerClip">outerClip</a></li><li class="nav-item">F<a href="module-BooleanOperations.html#.calculateIntersections">calculateIntersections</a></li><li class="nav-heading">M<a href="module-RayShoot.html">RayShoot</a></li><li class="nav-item">F<a href="module-RayShoot.html#.ray_shoot">ray_shoot</a></li><li class="nav-heading">M<a href="module-Relation.html">Relation</a></li><li class="nav-item">F<a href="module-Relation.html#.equal">equal</a></li><li class="nav-item">F<a href="module-Relation.html#.intersect">intersect</a></li><li class="nav-item">F<a href="module-Relation.html#.touch">touch</a></li><li class="nav-item">F<a href="module-Relation.html#.disjoint">disjoint</a></li><li class="nav-item">F<a href="module-Relation.html#.inside">inside</a></li><li class="nav-item">F<a href="module-Relation.html#.covered">covered</a></li><li class="nav-item">F<a href="module-Relation.html#.contain">contain</a></li><li class="nav-item">F<a href="module-Relation.html#.cover">cover</a></li><li class="nav-item">F<a href="module-Relation.html#.relate">relate</a></li><li class="nav-heading"><a href="global.html">Globals</a></li><li class="nav-item">F<a href="global.html#inverse">inverse</a></li><li class="nav-item">M<a href="global.html#arc">arc</a></li><li class="nav-item">M<a href="global.html#box">box</a></li><li class="nav-item">M<a href="global.html#circle">circle</a></li><li class="nav-item">M<a href="global.html#line">line</a></li><li class="nav-item">M<a href="global.html#matrix">matrix</a></li><li class="nav-item">M<a href="global.html#multiline">multiline</a></li><li class="nav-item">M<a href="global.html#point">point</a></li><li class="nav-item">M<a href="global.html#polygon">polygon</a></li><li class="nav-item">M<a 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">classes/vector.js</h1> <section> <article> <pre class="prettyprint source linenums"><code>/** * Created by Alex Bol on 2/19/2017. */ "use strict"; import Flatten from '../flatten'; /** * Class representing a vector * @type {Vector} */ export class Vector { /** * Vector may be constructed by two points, or by two float numbers, * or by array of two numbers * @param {Point} ps - start point * @param {Point} pe - end point */ constructor(...args) { /** * x-coordinate of a vector (float number) * @type {number} */ this.x = 0; /** * y-coordinate of a vector (float number) * @type {number} */ this.y = 0; /* return zero vector */ if (args.length === 0) { return; } if (args.length === 1 && args[0] instanceof Array && args[0].length === 2) { let arr = args[0]; if (typeof (arr[0]) == "number" && typeof (arr[1]) == "number") { this.x = arr[0]; this.y = arr[1]; return; } } if (args.length === 1 && args[0] instanceof Object && args[0].name === "vector") { let {x, y} = args[0]; this.x = x; this.y = y; return; } if (args.length === 2) { let a1 = args[0]; let a2 = args[1]; if (typeof (a1) == "number" && typeof (a2) == "number") { this.x = a1; this.y = a2; return; } if (a1 instanceof Flatten.Point && a2 instanceof Flatten.Point) { this.x = a2.x - a1.x; this.y = a2.y - a1.y; return; } } throw Flatten.Errors.ILLEGAL_PARAMETERS; } /** * Method clone returns new instance of Vector * @returns {Vector} */ clone() { return new Flatten.Vector(this.x, this.y); } /** * Slope of the vector in radians from 0 to 2PI * @returns {number} */ get slope() { let angle = Math.atan2(this.y, this.x); if (angle < 0) angle = 2 * Math.PI + angle; return angle; } /** * Length of vector * @returns {number} */ get length() { return Math.sqrt(this.dot(this)); } /** * Returns true if vectors are equal up to [DP_TOL]{@link http://localhost:63342/flatten-js/docs/global.html#DP_TOL} * tolerance * @param {Vector} v * @returns {boolean} */ equalTo(v) { return Flatten.Utils.EQ(this.x, v.x) && Flatten.Utils.EQ(this.y, v.y); } /** * Returns new vector multiplied by scalar * @param {number} scalar * @returns {Vector} */ multiply(scalar) { return (new Flatten.Vector(scalar * this.x, scalar * this.y)); } /** * Returns scalar product (dot product) of two vectors * <code>dot_product = (this * v)</code> * @param {Vector} v Other vector * @returns {number} */ dot(v) { return (this.x * v.x + this.y * v.y); } /** * Returns vector product (cross product) of two vectors * <code>cross_product = (this x v)</code> * @param {Vector} v Other vector * @returns {number} */ cross(v) { return (this.x * v.y - this.y * v.x); } /** * Returns unit vector. * Throw error if given vector has zero length * @returns {Vector} */ normalize() { if (!Flatten.Utils.EQ_0(this.length)) { return (new Flatten.Vector(this.x / this.length, this.y / this.length)); } throw Flatten.Errors.ZERO_DIVISION; } /** * Returns new vector rotated by given angle, * positive angle defines rotation in counter clockwise direction, * negative - in clockwise direction * @param {number} angle - Angle in radians * @returns {Vector} */ rotate(angle) { let point = new Flatten.Point(this.x, this.y); let rpoint = point.rotate(angle); return new Flatten.Vector(rpoint.x, rpoint.y); } /** * Returns vector rotated 90 degrees counter clockwise * @returns {Vector} */ rotate90CCW() { return new Flatten.Vector(-this.y, this.x); }; /** * Returns vector rotated 90 degrees clockwise * @returns {Vector} */ rotate90CW() { return new Flatten.Vector(this.y, -this.x); }; /** * Return inverted vector * @returns {Vector} */ invert() { return new Flatten.Vector(-this.x, -this.y); } /** * Return result of addition of other vector to this vector as a new vector * @param {Vector} v Other vector * @returns {Vector} */ add(v) { return new Flatten.Vector(this.x + v.x, this.y + v.y); } /** * Return result of subtraction of other vector from current vector as a new vector * @param {Vector} v Another vector * @returns {Vector} */ subtract(v) { return new Flatten.Vector(this.x - v.x, this.y - v.y); } /** * Return angle between this vector and other vector. * Angle is measured from 0 to 2*PI in the counter clockwise direction * from current vector to other. * @param {Vector} v Another vector * @returns {number} */ angleTo(v) { let norm1 = this.normalize(); let norm2 = v.normalize(); let angle = Math.atan2(norm1.cross(norm2), norm1.dot(norm2)); if (angle < 0) angle += 2 * Math.PI; return angle; } /** * Return vector projection of the current vector on another vector * @param {Vector} v Another vector * @returns {Vector} */ projectionOn(v) { let n = v.normalize(); let d = this.dot(n); return n.multiply(d); } /** * This method returns an object that defines how data will be * serialized when called JSON.stringify() method * @returns {Object} */ toJSON() { return Object.assign({}, this, {name: "vector"}); } }; Flatten.Vector = Vector; /** * Function to create vector equivalent to "new" constructor * @param args */ export const vector = (...args) => new Flatten.Vector(...args); Flatten.vector = vector; </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>