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cylindrical_coordinates.html
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<!doctype html>
<html lang="en">
<head>
<title>cylindrical coordinates</title>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
<link type="text/css" rel="stylesheet" href="css/default.css">
</head>
<body>
<div id="container"></div>
<div style="padding: 5px;position:absolute; left: 20px; top: 20px; background-color: #fcc;
opacity: 0.7;height: 300px; width: 400px; border-radius: 5px;
-moz-border-radius5px;-webkit-border-radius:5px;border: 1px solid #fff;">
<h2 align='center' style="margin:0;padding:0;padding-bottom: 5px;font-size: 20px">
Cylindrical Coordinates</h2>
<p style="margin:0;padding:0;padding-bottom: 5px;">
The position of a point P (brass colored sphere) can be measured in
cylindrical coordinates (r, theta, z). </p>
<br></br>
<p style="margin:0;padding:0;padding-bottom: 5px;">
It is convenient to introduce a frame that has one of its basis
vectors aligned with the line between the "origin" and the projection
of point P on the plane z=0 (red colored sphere).</p>
<br></br>
<p style="margin:0;padding:0;padding-bottom: 5px;">
Use the mouse to manipulate the camera.</p>
<p style="margin:0;padding:0;padding-bottom: 5px;">
Use the control box to adjust the scene. </p>
</div>
<script src="js/three/Three.r68.js"></script>
<script src="js/three/TrackballControls.js"></script>
<script src="js/three/ColladaLoader.js"></script>
<script src="js/Detector.js"></script>
<script src="js/Stats.js"></script>
<script src='js/DAT.GUI.min.js'></script>
<script src="js/Tween.js"></script>
<script src='js/Colors.js'></script>
<script>
if ( ! Detector.webgl ) Detector.addGetWebGLMessage();
window.onload = init;
var container, stats;
var camera, scene, renderer;
var mesh, light;
var mouseX = 0, mouseY = 0;
var global_up_vector = new THREE.Vector3(0,0,1);
var MARGIN = 0;
var SCREEN_WIDTH = window.innerWidth;
var SCREEN_HEIGHT = window.innerHeight - 2 * MARGIN;
var FAR = 100;
var gui, variableConfig = {
showVector: true,
r: 1,
theta: 0.8,
z: 1,
showFrameA: true,
Reset: false
};
// var windowHalfX = window.innerWidth / 2;
// var windowHalfY = window.innerHeight / 2;
var height = window.innerHeight;
var animations = [];
var buffalos = [];
var offset = [];
var sphere_vector, projection_x, projection_y, projection_z;
var target_sphere;
var axes = [];
var floor, dz = 0, dstep = -10, playback = false;
var clock = new THREE.Clock();
var bodyA_frame, bodyB_frame, bodyC_frame, bodyD_frame;
var bodyA_vis, bodyB_vis, bodyC_vis, bodyD_vis;
var circle_viz;
function init() {
container = document.getElementById( 'container' );
// SCENE
// FOG
scene = new THREE.Scene();
// scene.fog = new THREE.FogExp2( 0xffffff, 0.05 );
// scene.fog.color.setHSV( 0.1, 0.10, 1 );
// CAMERA
camera = new THREE.PerspectiveCamera( 30, SCREEN_WIDTH / SCREEN_HEIGHT, 1, FAR );
camera.position.set( 10, 3, 6 );
camera.up.copy(global_up_vector);
scene.add( camera );
controls = new THREE.TrackballControls( camera );
controls.target.set( 0, 0, 0 );
camera.lookAt(controls.target);
controls.rotateSpeed = 1.0;
controls.zoomSpeed = 1.2;
controls.noPan = false;
controls.minDistance = 1;
controls.maxDistance = 15;
controls.staticMoving = true;
controls.dynamicDampingFactor = 0.15;
controls.keys = [ 65, 83, 68 ];
//camera = new THREE.PerspectiveCamera( 25, window.innerWidth / height, 1, 10000 );
//camera.position.set( 0, 10, 30 );
light = new THREE.PointLight( 0xffffff, 1, 0 );
light.position.set( 10, 10, 10 );
scene.add( light );
var axis_length = 2.5;
var axis_width = 0.05;
var axis_geometry = new THREE.CylinderGeometry( 1, 1, axis_length );
var matXAxis = new THREE.MeshBasicMaterial( { color :0xFF0000 } );
var matYAxis = new THREE.MeshBasicMaterial( { color :0x00FF00 } );
var matZAxis = new THREE.MeshBasicMaterial( { color :0x0000FF } );
axes[0] = new THREE.Mesh( axis_geometry, matXAxis );
axes[0].scale.set(axis_width, 1.0, axis_width);
axes[0].position.x = axis_length/2;
axes[0].rotation.z = -Math.PI/2;
scene.add(axes[0]);
axes[1] = new THREE.Mesh( axis_geometry, matYAxis );
axes[1].scale.set(axis_width, 1.0, axis_width);
axes[1].position.y = axis_length/2;
scene.add(axes[1]);
axes[2] = new THREE.Mesh( axis_geometry, matZAxis );
axes[2].scale.set(axis_width, 1.0, axis_width);
axes[2].position.z = axis_length/2;
axes[2].rotation.x = -Math.PI/2;
scene.add(axes[2]);
bodyA_frame = new THREE.Object3D();
bodyB_frame = new THREE.Object3D();
bodyC_frame = new THREE.Object3D();
bodyD_frame = new THREE.Object3D();
bodyA_frame.position.set(0, 0, 0);
bodyA_frame.rotation.set(0,0,-variableConfig.theta);
circle_viz = new THREE.Mesh( new THREE.TorusGeometry(1.0, 0.01, 6, 48), MAT_BLACK);
//circle_viz.rotation.set(Math.PI/2, 0, 0);
scene.add(circle_viz);
P_frame = new THREE.Object3D();
var P_geometry = new THREE.SphereGeometry( 0.1, 12, 12 );
P_vis = new THREE.Mesh( P_geometry, MAT_CHOCOLATE );
P_vis.position.set(0, 0, 0);
P_vis.rotation.set(0, 0, 0);
P_frame.position.set(0, variableConfig.r, variableConfig.z);
P_frame.add(P_vis);
//bodyB_frame.add(bodyC_frame);
bodyA_frame.add(P_frame);
scene.add(bodyA_frame);
var dae; //, skin;
var loader = new THREE.ColladaLoader();
loader.options.convertUpAxis = false;
loader.load( 'meshes/basis.dae', function colladaReady( collada )
{
dae = collada.scene.clone();
dae.scale.x = dae.scale.y = dae.scale.z = 5.0;
dae.updateMatrix();// Not sure if this is needed.
//scene.add(dae);
bodyA_frame.basis = collada.scene.clone();
bodyA_frame.basis.scale.set(1,1,1);
bodyA_frame.basis.position.set(0, variableConfig.r, 0);
bodyA_frame.add(bodyA_frame.basis);
var bodyA_geometry = new THREE.SphereGeometry( 0.1, 12, 12 );
bodyA_vis = new THREE.Mesh( bodyA_geometry, MAT_RED );
bodyA_frame.basis.add(bodyA_vis);
showFrame(bodyA_frame.basis, variableConfig.showFrameA);
//showFrame(bodyB_frame.basis, variableConfig.showFrameB);
} );
var loader = new THREE.ColladaLoader();
loader.options.convertUpAxis = false;
loader.load( 'meshes/arrow.dae', function colladaReady( collada )
{
sphere_vector = collada.scene;
sphere_vector.scale = new THREE.Vector3(1, 1, 5);
sphere_vector.lookAt( new THREE.Vector3(0,0,1));
scene.add(sphere_vector);
} );
//var planeSimple = new THREE.PlaneGeometry( 200, 300 );
var planeTesselated = new THREE.PlaneGeometry( 10, 10, 10, 10 );
var matWire = new THREE.MeshBasicMaterial( { color: 0x110000, wireframe: true, wireframeLinewidth: 2 } );
var matSolid = new THREE.MeshBasicMaterial( { color: 0xE5EB39 } );
floor = new THREE.Mesh( planeTesselated, matSolid );
//floor.rotation.x = -Math.PI/2;
floor.scale.set( 0.5, 0.5, 0.5 );
scene.add( floor );
floor = new THREE.Mesh( planeTesselated, matWire );
//floor.rotation.x = -Math.PI/2;
floor.scale.set( 0.5, 0.5, 0.5 );
scene.add( floor );
renderer = new THREE.WebGLRenderer( { clearColor: 0xffffff, clearAlpha: 1, antialias: true } );
renderer.setSize( window.innerWidth, height);
//renderer.setSize( container.width, container.height );
renderer.setClearColor( 0xffffff, 1 );
renderer.sortObjects = false;
// renderer.domElement.style.position = 'absolute';
// renderer.domElement.style.top = '400px';
container.appendChild( renderer.domElement );
// stats = new Stats();
// stats.domElement.style.position = 'absolute';
// stats.domElement.style.top = '0px'; //window.innerHeight;
// container.appendChild( stats.domElement );
window.addEventListener( 'resize', onWindowResize, false );
document.addEventListener( 'keydown', onKeyDown, false );
document.addEventListener( 'mousemove', onDocumentMouseMove, false );
document.addEventListener( 'mouseup', onDocumentMouseUp, false );
// GUI
gui = new DAT.GUI( );
// gui.domElement.style.position = 'absolute';
// gui.domElement.style.left = '0px';
gui.add( variableConfig, 'r', 0, 3 ).onChange( function() {
controls.enabled = false;
new TWEEN.Tween( P_frame.position ).to( { y: variableConfig.r }, 500 )
.easing( TWEEN.Easing.Cubic.EaseOut ).start();
new TWEEN.Tween( circle_viz.scale ).to( { x: variableConfig.r }, 500 )
.easing( TWEEN.Easing.Cubic.EaseOut ).start();
new TWEEN.Tween( circle_viz.scale ).to( { y: variableConfig.r }, 500 )
.easing( TWEEN.Easing.Cubic.EaseOut ).start();
});
gui.add( variableConfig, 'theta', -Math.PI, Math.PI ).onChange( function() {
controls.enabled = false;
new TWEEN.Tween( bodyA_frame.rotation ).to( { z: -variableConfig.theta }, 500 )
.easing( TWEEN.Easing.Cubic.EaseOut ).start();
});
gui.add( variableConfig, 'z', -3, 3 ).onChange( function() {
controls.enabled = false;
new TWEEN.Tween( P_frame.position ).to( { z: variableConfig.z }, 500 )
.easing( TWEEN.Easing.Cubic.EaseOut ).start();
});
gui.add( variableConfig, 'showVector' ).onChange( function() {
controls.enabled = false;
showFrame(sphere_vector, variableConfig.showVector);
});
gui.add( variableConfig, 'showFrameA' ).onChange( function() {
controls.enabled = false;
showFrame(bodyA_frame.basis, variableConfig.showFrameA);
});
gui.add( variableConfig, 'Reset' ).onChange( function() {
controls.enabled = false;
bodyA_frame.rotation.z = variableConfig.theta = 0;
P_frame.position.y = variableConfig.r = 1;
P_frame.position.z = variableConfig.z = 1;
circle_viz.scale.set(variableConfig.r, variableConfig.r, 1.0);
variableConfig.Reset = false;
});
function showFrame(object, show) {
for( var i = 0; i < object.children.length; i++)
object.children[i].visible = show;
}
//gui.close();
loop();
}
function onWindowResize( event ) {
SCREEN_WIDTH = window.innerWidth;
SCREEN_HEIGHT = window.innerHeight - 2 * MARGIN;
renderer.setSize( SCREEN_WIDTH, SCREEN_HEIGHT );
camera.aspect = SCREEN_WIDTH / SCREEN_HEIGHT;
camera.updateProjectionMatrix();
}
function onDocumentMouseMove( event ) {
//mouseX = ( event.clientX - windowHalfX );
//mouseY = ( event.clientY - windowHalfY );
controls.enabled = true;
}
function onDocumentMouseUp( event ) {
//mouseX = ( event.clientX - windowHalfX );
//mouseY = ( event.clientY - windowHalfY );
camera.up.copy(global_up_vector);
}
function onKeyDown ( event ) {
switch( event.keyCode ) {
case 78:
break;
}
}
function loop() {
requestAnimationFrame( loop, renderer.domElement );
var delta = clock.getDelta();
var elapsed = clock.getElapsedTime();
//THREE.AnimationHandler.update( delta );
TWEEN.update();
//
// if(!controls.enabled)
// {
// camera.up.set(0, 1, 0);
// }
var y = 0;
//if(bodyB_frame.basis)
// y = -bodyB_frame.basis.position.z*Math.sin(bodyB_frame.rotation.x);
if(bodyA_frame.basis)
bodyA_frame.basis.position.set(0, P_frame.position.y, 0);
controls.update();
if(sphere_vector)
{
var x = P_frame.position.y*Math.sin(-bodyA_frame.rotation.z);
var y = P_frame.position.y*Math.cos(-bodyA_frame.rotation.z);
var z = P_frame.position.z;
var target_sphere = new THREE.Vector3(x,y,z);
sphere_vector.scale.z = target_sphere.length();
sphere_vector.lookAt(target_sphere);
}
renderer.render( scene, camera );
//stats.update();
}
</script>
</body>
</html>