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<title>Math/Vector3f.js - Documentation</title>
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href="Lore.OctreeHelper.html#drawCenters">drawCenters</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#getIntersections">getIntersections</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#getScreenPosition">getScreenPosition</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#hide">hide</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#init">init</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#raiseEvent">raiseEvent</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#rayIntersections">rayIntersections</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#removeSelected">removeSelected</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#selectedContains">selectedContains</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#selectHovered">selectHovered</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#setHovered">setHovered</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#setPointSizeFromZoom">setPointSizeFromZoom</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#setThreshold">setThreshold</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#showCenters">showCenters</a></li><li data-type='method'><a href="Lore.OctreeHelper.html#showCubes">showCubes</a></li></ul></li><li><a href="Lore.OrbitalControls.html">OrbitalControls</a><ul class='methods'><li data-type='method'><a href="Lore.OrbitalControls.html#limitRotationToHorizon">limitRotationToHorizon</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setBackView">setBackView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setBottomView">setBottomView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setFreeView">setFreeView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setFrontView">setFrontView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setLeftView">setLeftView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setRadius">setRadius</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setRightView">setRightView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setTopView">setTopView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setView">setView</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#setZoom">setZoom</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#update">update</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#zoomIn">zoomIn</a></li><li data-type='method'><a href="Lore.OrbitalControls.html#zoomOut">zoomOut</a></li></ul></li><li><a href="Lore.OrthographicCamera.html">OrthographicCamera</a><ul class='methods'><li data-type='method'><a href="Lore.OrthographicCamera.html#updateProjectionMatrix">updateProjectionMatrix</a></li><li data-type='method'><a href="Lore.OrthographicCamera.html#updateViewport">updateViewport</a></li></ul></li><li><a href="Lore.PerspectiveCamera.html">PerspectiveCamera</a><ul class='methods'><li data-type='method'><a href="Lore.PerspectiveCamera.html#updateProjectionMatrix">updateProjectionMatrix</a></li><li data-type='method'><a href="Lore.PerspectiveCamera.html#updateViewport">updateViewport</a></li></ul></li><li><a href="Lore.PointHelper.html">PointHelper</a><ul class='methods'><li data-type='method'><a href="Lore.PointHelper.html#addFilter">addFilter</a></li><li data-type='method'><a href="Lore.PointHelper.html#getCenter">getCenter</a></li><li data-type='method'><a href="Lore.PointHelper.html#getCutoff">getCutoff</a></li><li data-type='method'><a href="Lore.PointHelper.html#getDimensions">getDimensions</a></li><li data-type='method'><a href="Lore.PointHelper.html#getFilter">getFilter</a></li><li data-type='method'><a href="Lore.PointHelper.html#getHue">getHue</a></li><li data-type='method'><a href="Lore.PointHelper.html#getMaxLength">getMaxLength</a></li><li data-type='method'><a href="Lore.PointHelper.html#getMaxRadius">getMaxRadius</a></li><li data-type='method'><a href="Lore.PointHelper.html#getPointScale">getPointScale</a></li><li data-type='method'><a href="Lore.PointHelper.html#getPointSize">getPointSize</a></li><li data-type='method'><a href="Lore.PointHelper.html#getPosition">getPosition</a></li><li data-type='method'><a href="Lore.PointHelper.html#getSaturation">getSaturation</a></li><li data-type='method'><a href="Lore.PointHelper.html#getSize">getSize</a></li><li data-type='method'><a href="Lore.PointHelper.html#initPointSize">initPointSize</a></li><li data-type='method'><a href="Lore.PointHelper.html#removeFilter">removeFilter</a></li><li data-type='method'><a href="Lore.PointHelper.html#setColors">setColors</a></li><li data-type='method'><a href="Lore.PointHelper.html#setCutoff">setCutoff</a></li><li data-type='method'><a href="Lore.PointHelper.html#setFogDistance">setFogDistance</a></li><li data-type='method'><a href="Lore.PointHelper.html#setHSS">setHSS</a></li><li data-type='method'><a href="Lore.PointHelper.html#setHSSFromArrays">setHSSFromArrays</a></li><li data-type='method'><a href="Lore.PointHelper.html#setHue">setHue</a></li><li data-type='method'><a href="Lore.PointHelper.html#setPointScale">setPointScale</a></li><li data-type='method'><a href="Lore.PointHelper.html#setPointSize">setPointSize</a></li><li data-type='method'><a href="Lore.PointHelper.html#setPositions">setPositions</a></li><li data-type='method'><a href="Lore.PointHelper.html#setPositionsXYZ">setPositionsXYZ</a></li><li data-type='method'><a href="Lore.PointHelper.html#setPositionsXYZHSS">setPositionsXYZHSS</a></li><li data-type='method'><a href="Lore.PointHelper.html#setRGB">setRGB</a></li><li data-type='method'><a href="Lore.PointHelper.html#setSaturation">setSaturation</a></li><li data-type='method'><a href="Lore.PointHelper.html#setSize">setSize</a></li><li data-type='method'><a href="Lore.PointHelper.html#updateColor">updateColor</a></li><li data-type='method'><a href="Lore.PointHelper.html#updateColors">updateColors</a></li><li data-type='method'><a href="Lore.PointHelper.html#updateHue">updateHue</a></li><li data-type='method'><a href="Lore.PointHelper.html#updatePointSize">updatePointSize</a></li></ul></li><li><a href="Lore.ProjectionMatrix.html">ProjectionMatrix</a><ul class='methods'><li data-type='method'><a href="Lore.ProjectionMatrix.html#setOrthographic">setOrthographic</a></li><li data-type='method'><a href="Lore.ProjectionMatrix.html#setPerspective">setPerspective</a></li></ul></li><li><a href="Lore.Quaternion.html">Quaternion</a><ul class='methods'><li data-type='method'><a href="Lore.Quaternion.html#.add">add</a></li><li data-type='method'><a href="Lore.Quaternion.html#.conjugate">conjugate</a></li><li data-type='method'><a href="Lore.Quaternion.html#.dot">dot</a></li><li data-type='method'><a href="Lore.Quaternion.html#.fromMatrix">fromMatrix</a></li><li data-type='method'><a href="Lore.Quaternion.html#.inverse">inverse</a></li><li data-type='method'><a href="Lore.Quaternion.html#.multiply">multiply</a></li><li data-type='method'><a href="Lore.Quaternion.html#.multiplyScalar">multiplyScalar</a></li><li data-type='method'><a href="Lore.Quaternion.html#.normalize">normalize</a></li><li data-type='method'><a href="Lore.Quaternion.html#.slerp">slerp</a></li><li data-type='method'><a href="Lore.Quaternion.html#.subtract">subtract</a></li><li data-type='method'><a href="Lore.Quaternion.html#add">add</a></li><li data-type='method'><a href="Lore.Quaternion.html#clone">clone</a></li><li data-type='method'><a href="Lore.Quaternion.html#conjugate">conjugate</a></li><li data-type='method'><a href="Lore.Quaternion.html#dot">dot</a></li><li data-type='method'><a href="Lore.Quaternion.html#equals">equals</a></li><li data-type='method'><a href="Lore.Quaternion.html#getW">getW</a></li><li data-type='method'><a href="Lore.Quaternion.html#getX">getX</a></li><li data-type='method'><a href="Lore.Quaternion.html#getY">getY</a></li><li data-type='method'><a href="Lore.Quaternion.html#getZ">getZ</a></li><li data-type='method'><a href="Lore.Quaternion.html#inverse">inverse</a></li><li data-type='method'><a href="Lore.Quaternion.html#length">length</a></li><li data-type='method'><a href="Lore.Quaternion.html#lengthSq">lengthSq</a></li><li data-type='method'><a href="Lore.Quaternion.html#lookAt">lookAt</a></li><li data-type='method'><a href="Lore.Quaternion.html#multiplyA">multiplyA</a></li><li data-type='method'><a href="Lore.Quaternion.html#multiplyB">multiplyB</a></li><li data-type='method'><a href="Lore.Quaternion.html#multiplyScalar">multiplyScalar</a></li><li data-type='method'><a href="Lore.Quaternion.html#normalize">normalize</a></li><li data-type='method'><a href="Lore.Quaternion.html#rotateX">rotateX</a></li><li data-type='method'><a href="Lore.Quaternion.html#rotateY">rotateY</a></li><li data-type='method'><a href="Lore.Quaternion.html#rotateZ">rotateZ</a></li><li data-type='method'><a href="Lore.Quaternion.html#set">set</a></li><li data-type='method'><a href="Lore.Quaternion.html#setFromAxisAngle">setFromAxisAngle</a></li><li data-type='method'><a href="Lore.Quaternion.html#setFromMatrix">setFromMatrix</a></li><li data-type='method'><a href="Lore.Quaternion.html#setFromUnitVectors">setFromUnitVectors</a></li><li data-type='method'><a href="Lore.Quaternion.html#setW">setW</a></li><li data-type='method'><a href="Lore.Quaternion.html#setX">setX</a></li><li data-type='method'><a href="Lore.Quaternion.html#setY">setY</a></li><li data-type='method'><a href="Lore.Quaternion.html#setZ">setZ</a></li><li data-type='method'><a href="Lore.Quaternion.html#subtract">subtract</a></li><li data-type='method'><a href="Lore.Quaternion.html#toRotationMatrix">toRotationMatrix</a></li><li data-type='method'><a href="Lore.Quaternion.html#toString">toString</a></li></ul></li><li><a href="Lore.RadixSort.html">RadixSort</a><ul class='methods'><li data-type='method'><a href="Lore.RadixSort.html#initHistograms">initHistograms</a></li><li data-type='method'><a href="Lore.RadixSort.html#lsbPass">lsbPass</a></li><li data-type='method'><a href="Lore.RadixSort.html#msbPass">msbPass</a></li><li data-type='method'><a href="Lore.RadixSort.html#pass">pass</a></li><li data-type='method'><a href="Lore.RadixSort.html#sort">sort</a></li></ul></li><li><a href="Lore.Ray.html">Ray</a><ul class='methods'><li data-type='method'><a href="Lore.Ray.html#applyProjection">applyProjection</a></li><li data-type='method'><a href="Lore.Ray.html#closestPointToPoint">closestPointToPoint</a></li><li data-type='method'><a href="Lore.Ray.html#copyFrom">copyFrom</a></li><li data-type='method'><a href="Lore.Ray.html#distanceSqToPoint">distanceSqToPoint</a></li></ul></li><li><a href="Lore.Raycaster.html">Raycaster</a><ul class='methods'><li data-type='method'><a href="Lore.Raycaster.html#set">set</a></li></ul></li><li><a href="Lore.Renderer.html">Renderer</a><ul class='methods'><li data-type='method'><a href="Lore.Renderer.html#animate">animate</a></li><li data-type='method'><a href="Lore.Renderer.html#createGeometry">createGeometry</a></li><li data-type='method'><a href="Lore.Renderer.html#disableContextMenu">disableContextMenu</a></li><li data-type='method'><a href="Lore.Renderer.html#getDevicePixelRatio">getDevicePixelRatio</a></li><li data-type='method'><a href="Lore.Renderer.html#getHeight">getHeight</a></li><li data-type='method'><a href="Lore.Renderer.html#getWidth">getWidth</a></li><li data-type='method'><a href="Lore.Renderer.html#init">init</a></li><li data-type='method'><a href="Lore.Renderer.html#setClearColor">setClearColor</a></li><li data-type='method'><a href="Lore.Renderer.html#setMaxFps">setMaxFps</a></li><li data-type='method'><a href="Lore.Renderer.html#updateViewport">updateViewport</a></li></ul></li><li><a href="Lore.Shader.html">Shader</a></li><li><a href="Lore.SphericalCoords.html">SphericalCoords</a><ul class='methods'><li data-type='method'><a href="Lore.SphericalCoords.html#clone">clone</a></li><li data-type='method'><a href="Lore.SphericalCoords.html#limit">limit</a></li><li data-type='method'><a href="Lore.SphericalCoords.html#secure">secure</a></li><li data-type='method'><a href="Lore.SphericalCoords.html#set">set</a></li><li data-type='method'><a href="Lore.SphericalCoords.html#setFromVector">setFromVector</a></li><li data-type='method'><a href="Lore.SphericalCoords.html#toString">toString</a></li></ul></li><li><a href="Lore.Statistics.html">Statistics</a><ul class='methods'><li data-type='method'><a href="Lore.Statistics.html#.getPercentile">getPercentile</a></li><li data-type='method'><a href="Lore.Statistics.html#.normalize">normalize</a></li><li data-type='method'><a href="Lore.Statistics.html#.normalizeNoOutliers">normalizeNoOutliers</a></li><li data-type='method'><a href="Lore.Statistics.html#.randomNormal">randomNormal</a></li><li data-type='method'><a href="Lore.Statistics.html#.randomNormalInRange">randomNormalInRange</a></li><li data-type='method'><a href="Lore.Statistics.html#.randomNormalScaled">randomNormalScaled</a></li><li data-type='method'><a href="Lore.Statistics.html#.scale">scale</a></li><li data-type='method'><a href="Lore.Statistics.html#.transpose2dArray">transpose2dArray</a></li></ul></li><li><a href="Lore.Tree.html">Tree</a><ul class='methods'><li data-type='method'><a href="Lore.Tree.html#.fromEdgeList">fromEdgeList</a></li><li data-type='method'><a href="Lore.Tree.html#layout">layout</a></li></ul></li><li><a href="Lore.Uniform.html">Uniform</a><ul class='methods'><li data-type='method'><a href="Lore.Uniform.html#.Set">Set</a></li><li data-type='method'><a href="Lore.Uniform.html#setValue">setValue</a></li></ul></li><li><a href="Lore.Utils.html">Utils</a><ul class='methods'><li data-type='method'><a href="Lore.Utils.html#.arrayContains">arrayContains</a></li><li data-type='method'><a href="Lore.Utils.html#.concatTypedArrays">concatTypedArrays</a></li><li data-type='method'><a href="Lore.Utils.html#.extend">extend</a></li><li data-type='method'><a href="Lore.Utils.html#.isFloat">isFloat</a></li><li data-type='method'><a href="Lore.Utils.html#.isInt">isInt</a></li><li data-type='method'><a href="Lore.Utils.html#.jsonp">jsonp</a></li><li data-type='method'><a href="Lore.Utils.html#.mergePointDistances">mergePointDistances</a></li><li data-type='method'><a href="Lore.Utils.html#.msb">msb</a></li></ul></li><li><a href="Lore.Vector3f.html">Vector3f</a><ul class='methods'><li data-type='method'><a href="Lore.Vector3f.html#.add">add</a></li><li data-type='method'><a href="Lore.Vector3f.html#.cross">cross</a></li><li data-type='method'><a href="Lore.Vector3f.html#.divide">divide</a></li><li data-type='method'><a href="Lore.Vector3f.html#.divideScalar">divideScalar</a></li><li data-type='method'><a href="Lore.Vector3f.html#.dot">dot</a></li><li data-type='method'><a href="Lore.Vector3f.html#.forward">forward</a></li><li data-type='method'><a href="Lore.Vector3f.html#.multiply">multiply</a></li><li data-type='method'><a href="Lore.Vector3f.html#.multiplyScalar">multiplyScalar</a></li><li data-type='method'><a href="Lore.Vector3f.html#.normalize">normalize</a></li><li data-type='method'><a href="Lore.Vector3f.html#.right">right</a></li><li data-type='method'><a href="Lore.Vector3f.html#.subtract">subtract</a></li><li data-type='method'><a href="Lore.Vector3f.html#.up">up</a></li><li data-type='method'><a href="Lore.Vector3f.html#add">add</a></li><li data-type='method'><a href="Lore.Vector3f.html#applyProjection">applyProjection</a></li><li data-type='method'><a href="Lore.Vector3f.html#applyQuaternion">applyQuaternion</a></li><li data-type='method'><a href="Lore.Vector3f.html#clone">clone</a></li><li data-type='method'><a href="Lore.Vector3f.html#copyFrom">copyFrom</a></li><li data-type='method'><a href="Lore.Vector3f.html#cross">cross</a></li><li data-type='method'><a href="Lore.Vector3f.html#distanceTo">distanceTo</a></li><li data-type='method'><a href="Lore.Vector3f.html#distanceToSq">distanceToSq</a></li><li data-type='method'><a href="Lore.Vector3f.html#divide">divide</a></li><li data-type='method'><a href="Lore.Vector3f.html#divideScalar">divideScalar</a></li><li data-type='method'><a href="Lore.Vector3f.html#dot">dot</a></li><li data-type='method'><a href="Lore.Vector3f.html#equals">equals</a></li><li data-type='method'><a href="Lore.Vector3f.html#getX">getX</a></li><li data-type='method'><a href="Lore.Vector3f.html#getY">getY</a></li><li data-type='method'><a href="Lore.Vector3f.html#getZ">getZ</a></li><li data-type='method'><a href="Lore.Vector3f.html#length">length</a></li><li data-type='method'><a href="Lore.Vector3f.html#lengthSq">lengthSq</a></li><li data-type='method'><a href="Lore.Vector3f.html#multiply">multiply</a></li><li data-type='method'><a href="Lore.Vector3f.html#multiplyScalar">multiplyScalar</a></li><li data-type='method'><a href="Lore.Vector3f.html#normalize">normalize</a></li><li data-type='method'><a href="Lore.Vector3f.html#project">project</a></li><li data-type='method'><a href="Lore.Vector3f.html#set">set</a></li><li data-type='method'><a href="Lore.Vector3f.html#setFromSphericalCoords">setFromSphericalCoords</a></li><li data-type='method'><a href="Lore.Vector3f.html#setLength">setLength</a></li><li data-type='method'><a href="Lore.Vector3f.html#setX">setX</a></li><li data-type='method'><a href="Lore.Vector3f.html#setY">setY</a></li><li data-type='method'><a href="Lore.Vector3f.html#setZ">setZ</a></li><li data-type='method'><a href="Lore.Vector3f.html#subtract">subtract</a></li><li data-type='method'><a href="Lore.Vector3f.html#toDirection">toDirection</a></li><li data-type='method'><a href="Lore.Vector3f.html#toString">toString</a></li><li data-type='method'><a href="Lore.Vector3f.html#unproject">unproject</a></li></ul></li></ul><h3>Global</h3><ul><li><a href="global.html#Lore">Lore</a></li></ul>
</nav>
<div id="main">
<h1 class="page-title">Math/Vector3f.js</h1>
<section>
<article>
<pre class="prettyprint source linenums"><code>/**
* A class representing 3D float vector.
*
* @property {Float32Array} components A typed array storing the components of this vector.
*/
Lore.Vector3f = class Vector3f {
/**
* Creates an instance of Vector3f.
* @param {Number} x The x component of the vector.
* @param {Number} y The y component of the vector.
* @param {Number} z The z component of the vector.
*/
constructor(x, y, z) {
if (arguments.length === 1) {
this.components = new Float32Array(x);
} else {
this.components = new Float32Array(3);
this.components[0] = x || 0.0;
this.components[1] = y || 0.0;
this.components[2] = z || 0.0;
}
}
/**
* Sets the x, y and z components of this vector.
*
* @param {Number} x The x component of the vector.
* @param {Number} y The y component of the vector.
* @param {Number} z The z component of the vector.
* @returns {Lore.Vector3f} Returns itself.
*/
set(x, y, z) {
this.components[0] = x;
this.components[1] = y;
this.components[2] = z;
return this;
}
/**
* Gets the x component of this vector.
*
* @returns {Number} The x component of this vector.
*/
getX() {
return this.components[0];
}
/**
* Gets the y component of this vector.
*
* @returns {Number} The y component of this vector.
*/
getY() {
return this.components[1];
}
/**
* Gets the z component of this vector.
*
* @returns {Number} The z component of this vector.
*/
getZ() {
return this.components[2];
}
/**
* Sets the x component of this vector.
*
* @param {Number} x The value to which the x component of this vectors will be set.
* @returns {Lore.Vector3f} Returns itself.
*/
setX(x) {
this.components[0] = x;
return this;
}
/**
* Sets the y component of this vector.
*
* @param {Number} y The value to which the y component of this vectors will be set.
* @returns {Lore.Vector3f} Returns itself.
*/
setY(y) {
this.components[1] = y;
return this;
}
/**
* Sets the z component of this vector.
*
* @param {Number} z The value to which the z component of this vectors will be set.
* @returns {Lore.Vector3f} Returns itself.
*/
setZ(z) {
this.components[2] = z;
return this;
}
/**
* Sets this vector from spherical coordinates.
*
* @param {Lore.SphericalCoordinates} s A spherical coordinates object.
* @returns {Lore.Vector3f} Returns itself.
*/
setFromSphericalCoords(s) {
var radius = s.components[0];
var phi = s.components[1];
var theta = s.components[2];
var t = Math.sin(phi) * radius;
this.components[0] = Math.sin(theta) * t;
this.components[1] = Math.cos(phi) * radius;
this.components[2] = Math.cos(theta) * t;
return this;
}
/**
* Copies the values from another vector
*
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} Returns itself.
*/
copyFrom(v) {
this.components[0] = v.components[0];
this.components[1] = v.components[1];
this.components[2] = v.components[2];
return this;
}
/**
* Set the length / magnitude of the vector.
*
* @param {Number} length The length / magnitude to set the vector to.
* @returns {Lore.Vector3f} Returns itself.
*/
setLength(length) {
return this.multiplyScalar(length / this.length());
}
/**
* Get the square of the length / magnitude of the vector.
*
* @returns {Number} The square of length / magnitude of the vector.
*/
lengthSq() {
return this.components[0] * this.components[0] +
this.components[1] * this.components[1] +
this.components[2] * this.components[2];
}
/**
* The length / magnitude of the vector.
*
* @returns {Number} The length / magnitude of the vector.
*/
length() {
return Math.sqrt(this.lengthSq());
}
/**
* Normalizes the vector.
*
* @returns {Lore.Vector3f} Returns itself.
*/
normalize() {
return this.divideScalar(this.length());
}
/**
* Multiply the vector with another vector.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} Returns itself.
*/
multiply(v) {
this.components[0] *= v.components[0];
this.components[1] *= v.components[1];
this.components[2] *= v.components[2];
return this;
}
/**
* Multiplies this vector with a scalar.
*
* @param {Number} s A scalar.
* @returns {Lore.Vector3f} Returns itself.
*/
multiplyScalar(s) {
this.components[0] *= s;
this.components[1] *= s;
this.components[2] *= s;
return this;
}
/**
* Divides the vector by another vector.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} Returns itself.
*/
divide(v) {
this.components[0] /= v.components[0];
this.components[1] /= v.components[1];
this.components[2] /= v.components[2];
return this;
}
/**
* Divides the vector by a scalar.
*
* @param {Number} s A scalar.
* @returns {Lore.Vector3f} Returns itself.
*/
divideScalar(s) {
this.components[0] /= s;
this.components[1] /= s;
this.components[2] /= s;
return this;
}
/**
* Sums the vector with another.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} Returns itself.
*/
add(v) {
this.components[0] += v.components[0];
this.components[1] += v.components[1];
this.components[2] += v.components[2];
return this;
}
/**
* Substracts a vector from this one.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} Returns itself.
*/
subtract(v) {
this.components[0] -= v.components[0];
this.components[1] -= v.components[1];
this.components[2] -= v.components[2];
return this;
}
/**
* Calculates the dot product for the vector with another vector.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Number} The dot product of the two vectors.
*/
dot(v) {
return this.components[0] * v.components[0] +
this.components[1] * v.components[1] +
this.components[2] * v.components[2];
}
/**
* Calculates the cross product for the vector with another vector.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Number} The cross product of the two vectors.
*/
cross(v) {
return new Lore.Vector3f(
this.components[1] * v.components[2] - this.components[2] * v.components[1],
this.components[2] * v.components[0] - this.components[0] * v.components[2],
this.components[0] * v.components[1] - this.components[1] * v.components[0]
);
}
/**
* Projects the vector from world space into camera space.
*
* @param {Lore.CameraBase} camera A camera instance.
* @returns {Lore.Vector3f} The vector in camera space.
*/
project(camera) {
return this.applyProjection(Lore.Matrix4f.multiply(camera.projectionMatrix, Lore.Matrix4f.invert(camera.modelMatrix)));
}
/**
* Projects the vector from camera space into world space.
*
* @param {Lore.CameraBase} camera A camera instance.
* @returns {Lore.Vector3f} The vector in world space.
*/
unproject(camera) {
return this.applyProjection(Lore.Matrix4f.multiply(camera.modelMatrix, Lore.Matrix4f.invert(camera.projectionMatrix)));
}
/**
* Applies a projection matrix to the vector.
*
* @param {Lore.Matrix4f} m A (projection) matrix.
* @returns {Lore.Vector3f} Returns itself.
*/
applyProjection(m) {
var x = this.components[0];
var y = this.components[1];
var z = this.components[2];
var e = m.entries;
var p = 1.0 / (e[3] * x + e[7] * y + e[11] * z + e[15]);
this.components[0] = (e[0] * x + e[4] * y + e[8] * z + e[12]) * p;
this.components[1] = (e[1] * x + e[5] * y + e[9] * z + e[13]) * p;
this.components[2] = (e[2] * x + e[6] * y + e[10] * z + e[14]) * p;
return this;
}
/**
* Rotates the vector into the direction defined by the rotational component of a matrix.
*
* @param {Lore.Matrix4f} m A matrix.
* @returns {Lore.Vector3f} Returns itself.
*/
toDirection(m) {
var x = this.components[0];
var y = this.components[1];
var z = this.components[2];
var e = m.entries;
this.components[0] = e[0] * x + e[4] * y + e[8] * z;
this.components[1] = e[1] * x + e[5] * y + e[9] * z;
this.components[2] = e[2] * x + e[6] * y + e[10] * z;
this.normalize();
return this;
}
/**
* Applies a quaternion to the vector (usually a rotation).
*
* @param {Lore.Quaternion} q Quaternion.
* @returns {Lore.Vector3f} Returns itself.
*/
applyQuaternion(q) {
var x = this.components[0];
var y = this.components[1];
var z = this.components[2];
var qx = q.components[0];
var qy = q.components[1];
var qz = q.components[2];
var qw = q.components[3];
var ix = qw * x + qy * z - qz * y;
var iy = qw * y + qz * x - qx * z;
var iz = qw * z + qx * y - qy * x;
var iw = -qx * x - qy * y - qz * z;
this.components[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy;
this.components[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz;
this.components[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx;
return this;
}
/**
* Calculates the square of the distance to another vector.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Number} The square of the distance to the other vector.
*/
distanceToSq(v) {
var dx = this.components[0] - v.components[0];
var dy = this.components[1] - v.components[1];
var dz = this.components[2] - v.components[2];
return dx * dx + dy * dy + dz * dz;
}
/**
* Calculates the distance to another vector.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Number} The distance to the other vector.
*/
distanceTo(v) {
return Math.sqrt(this.distanceToSq(v));
}
/**
* Clones this vector.
*
* @returns {Lore.Vector3f} A clone of this vector.
*/
clone() {
return new Lore.Vector3f(this.components[0], this.components[1],
this.components[2]);
}
/**
* Compares the components of the vector to those of another.
*
* @param {Lore.Vector3f} v A vector.
* @returns {Boolean} A vector indicating whether or not the two vectors are equal.
*/
equals(v) {
return this.components[0] === v.components[0] &&
this.components[1] === v.components[1] &&
this.components[2] === v.components[2];
}
/**
* Returns a string representation of the vector.
*
* @returns {String} A string representation of the vector.
*/
toString() {
return '(' + this.components[0] + ', ' + this.components[1] + ', ' +
this.components[2] + ')';
}
/**
* Normalizes a vector.
*
* @static
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} The noramlized vector.
*/
static normalize(v) {
return Lore.Vector3f.divideScalar(v, v.length());
}
/**
* Multiplies two vectors.
*
* @static
* @param {Lore.Vector3f} u A vector.
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} The product of the two vectors.
*/
static multiply(u, v) {
return new Lore.Vector3f(u.components[0] * v.components[0],
u.components[1] * v.components[1],
u.components[2] * v.components[2]);
}
/**
* Multiplies a vector with a scalar.
*
* @static
* @param {Lore.Vector3f} v A vector.
* @param {Number} s A scalar.
* @returns {Lore.Vector3f} The vector multiplied by the scalar.
*/
static multiplyScalar(v, s) {
return new Lore.Vector3f(v.components[0] * s,
v.components[1] * s,
v.components[2] * s);
}
/**
* Divides a vector by another vector (u / v).
*
* @static
* @param {Lore.Vector3f} u A vector.
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} The fraction vector.
*/
static divide(u, v) {
return new Lore.Vector3f(u.components[0] / v.components[0],
u.components[1] / v.components[1],
u.components[2] / v.components[2]);
}
/**
* Divides a vector by a scalar.
*
* @static
* @param {Lore.Vector3f} v A vector.
* @param {Number} s A scalar.
* @returns {Lore.Vector3f} The vector divided by the scalar.
*/
static divideScalar(v, s) {
return new Lore.Vector3f(v.components[0] / s,
v.components[1] / s,
v.components[2] / s);
}
/**
* Sums two vectors.
*
* @static
* @param {Lore.Vector3f} u A vector.
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} The sum of the two vectors.
*/
static add(u, v) {
return new Lore.Vector3f(u.components[0] + v.components[0],
u.components[1] + v.components[1],
u.components[2] + v.components[2]);
}
/**
* Subtracts one scalar from another (u - v)
*
* @static
* @param {Lore.Vector3f} u A vector.
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} The difference between the two vectors.
*/
static subtract(u, v) {
return new Lore.Vector3f(u.components[0] - v.components[0],
u.components[1] - v.components[1],
u.components[2] - v.components[2]);
}
/**
* Calculates the cross product of two vectors.
*
* @static
* @param {Lore.Vector3f} u A vector.
* @param {Lore.Vector3f} v A vector.
* @returns {Lore.Vector3f} The cross product of the two vectors.
*/
static cross(u, v) {
return new Lore.Vector3f(
u.components[1] * v.components[2] - u.components[2] * v.components[1],
u.components[2] * v.components[0] - u.components[0] * v.components[2],
u.components[0] * v.components[1] - u.components[1] * v.components[0]
);
}
/**
* Calculates the dot product of two vectors.
*
* @static
* @param {Lore.Vector3f} u A vector.
* @param {Lore.Vector3f} v A vector.
* @returns {Number} The dot product of the two vectors.
*/
static dot(u, v) {
return u.components[0] * v.components[0] +
u.components[1] * v.components[1] +
u.components[2] * v.components[2];
}
/**
* Returns the forward vector (0, 0, 1).
*
* @static
* @returns {Lore.Vector3f} The forward vector.
*/
static forward() {
return new Lore.Vector3f(0, 0, 1);
}
/**
* Returns the up vector (0, 1, 0).
*
* @static
* @returns {Lore.Vector3f} The up vector.
*/
static up() {
return new Lore.Vector3f(0, 1, 0);
}
/**
* Returns the right vector (1, 0, 0).
*
* @static
* @returns {Lore.Vector3f} The right vector.
*/
static right() {
return new Lore.Vector3f(1, 0, 0);
}
}
</code></pre>
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