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parabola3.html
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<!DOCTYPE html>
<html>
<head>
<title>Grafico 3D di z = sin(x^2 + y^2)</title>
<script src="https://cdn.rawgit.com/mrdoob/three.js/r129/build/three.min.js"></script>
<script src="https://cdn.rawgit.com/mrdoob/three.js/r129/examples/js/controls/OrbitControls.js"></script>
<script type="module" src="https://cdn.rawgit.com/mrdoob/three.js/r135/examples/jsm/objects/Reflector.js"></script>
<style>
body {
margin: 0;
overflow: hidden;
background-color: #ffffcc; /* colore sfondo */
}
.axis-label {
position: absolute;
font-family: Arial, sans-serif;
font-size: 16px;
color: white;
pointer-events: none;
}
#x-axis-label {
top: 50%;
left: 0;
transform: translate(-100%, -50%) rotate(90deg);
}
#y-axis-label {
top: 0;
left: 50%;
transform: translate(-50%, -100%);
}
#z-axis-label {
top: 50%;
right: 0;
transform: translate(100%, -50%) rotate(90deg);
}
</style>
</head>
<body>
<div>
<label for="slider_a">Coefficiente di x:</label>
<input type="range" id="slider_a" min="-2" max="2" value="2" step="0.01">
</div>
<div>
<label for="slider_b">Coefficiente di y:</label>
<input type="range" id="slider_b" min="-2" max="2" value="1" step="0.01">
</div>
<script>
// Aggiungere gli slider per a e b
var aSlider = document.getElementById('slider_a');
var bSlider = document.getElementById('slider_b');
// Associare l'evento "input" ad ognuno di essi
aSlider.addEventListener('input', updateFunction);
bSlider.addEventListener('input', updateFunction);
// creare la scena, la fotocamera e il renderer
var scene = new THREE.Scene();
/*
// Create a box with geometry and material
var geometry = new THREE.BoxGeometry(10, 10, 10);
var material = new THREE.MeshBasicMaterial({color: 0x00ff00});
var box = new THREE.Mesh(geometry, material);
// Create a reflector with the same size and position as the box
var reflector = new THREE.Reflector(geometry);
reflector.position.copy(box.position);
// Add both objects to the scene
scene.add(box);
scene.add(reflector);
// Set the clip plane of the reflection
reflector.setClipPlane(new THREE.Plane(new THREE.Vector3(0, -1, 0), 0));
// Get the render target of the reflection
var renderTarget = reflector.getRenderTarget();
*/
// Crea i marcatori per gli assi x, y e z
for (i=1; i< 4; i++) {
var xMarker = createMarker("x", i);
var yMarker = createMarker("y", i);
var zMarker = createMarker("z", i);
xMarker.name = "x_" + i;
yMarker.name = "y_" + i;
zMarker.name = "z_" + i;
// Aggiungi i marcatori alla scena
scene.add(xMarker);
scene.add(yMarker);
scene.add(zMarker);
}
// Funzione per creare un marcatore
function createMarker(label, value) {
// Crea un canvas per il marcatore
var canvas = document.createElement("canvas");
var context = canvas.getContext("2d");
context.font = "Bold 50px Arial";
context.fillStyle = "rgba(255,255,255,0.95)";
context.fillText(label + " = " + value, 0, 20);
// Crea la texture del marcatore
var texture = new THREE.CanvasTexture(canvas);
texture.needsUpdate = true;
// Crea lo sprite del marcatore
var spriteMaterial = new THREE.SpriteMaterial({ map: texture });
var sprite = new THREE.Sprite(spriteMaterial);
sprite.scale.set(1, 1, 5.0);
// Posiziona lo sprite sull'asse corrispondente alla coordinata
if (label === "x") {
sprite.position.set(value, 0, 0);
} else if (label === "y") {
sprite.position.set(0, value, 0);
} else if (label === "z") {
sprite.position.set(0, 0, value);
}
return sprite;
}
var camera = new THREE.PerspectiveCamera(75, window.innerWidth / window.innerHeight, 0.1, 1000);
var renderer = new THREE.WebGLRenderer();
renderer.setSize(window.innerWidth, window.innerHeight);
document.body.appendChild(renderer.domElement);
/*
// creare la geometria per la funzione (ad esempio, una sfera)
var geometry = new THREE.SphereGeometry(5, 32, 32);
*/
// definire la funzione z = a*x^2 + b*y^2 come una funzione di due variabili
function funzione(u, v, target) {
var x = (u - 0.5) * 10;
var z = slider_a.value * x * x + slider_b.value * v * v;
var y = (v - 0.5) * 10;
if (x < -5 || x > 5 || y < -5 || y > 5) {
target.set(0, 0, 0);
} else {
target.set(x, z, y);
}
}
// creare la geometria utilizzando THREE.ParametricGeometry
geometryParabola = new THREE.ParametricGeometry(funzione, 8, 8);
/*
var geometryParabola = new THREE.BufferGeometry();
definisciFunzione();
// Definire la funzione come array di punti
function definisciFunzione() {
var points = [];
for (var i = -5; i <= 5; i += 0.5) {
for (var j = -5; j <= 5; j += 0.5) {
var x = i;
var y = slider_a.value * i * i + slider_b.value * j * j;
var z = j;
points.push(x, y, z);
}
}
// Creare la BufferGeometry
geometryParabola = new THREE.BufferGeometry();
geometryParabola.setAttribute('position', new THREE.Float32BufferAttribute(points, 3));
v=geometryParabola.computeVertexNormals();
//var vertexNormalsHelper = new THREE.VertexNormalsHelper(geometryParabola, 1, 0x00ff00, 1);
console.log(v);
}
*/
// Creare un'istanza di THREE.AxesHelper con la lunghezza degli assi
var axesHelper = new THREE.AxesHelper(5);
axesHelper.name = "axesHelper";
// Aggiungere l'helper alla scena
scene.add(axesHelper);
// Creare un'istanza di THREE.Group per gli assi
var axesGroup = new THREE.Group();
axesGroup.name = "assi";
scene.add(axesGroup);
// Aggiungere le frecce sugli assi
var arrowXGeometry = new THREE.ConeGeometry(0.2, 0.5, 16);
var arrowXMaterial = new THREE.MeshBasicMaterial({ color: 0xff0000 });
var arrowXMesh = new THREE.Mesh(arrowXGeometry, arrowXMaterial);
arrowXMesh.position.set(5, 0, 0);
arrowXMesh.rotation.z = -Math.PI / 2;
arrowXMesh.name="xarrow";
axesGroup.add(arrowXMesh);
var arrowYGeometry = new THREE.ConeGeometry(0.2, 0.5, 16);
var arrowYMaterial = new THREE.MeshBasicMaterial({ color: 0x00ff00 });
var arrowYMesh = new THREE.Mesh(arrowYGeometry, arrowYMaterial);
arrowYMesh.position.set(0, 5, 0);
arrowYMesh.name="yarrow";
axesGroup.add(arrowYMesh);
var arrowZGeometry = new THREE.ConeGeometry(0.2, 0.5, 16);
var arrowZMaterial = new THREE.MeshBasicMaterial({ color: 0x0000ff });
var arrowZMesh = new THREE.Mesh(arrowZGeometry, arrowZMaterial);
arrowZMesh.position.set(0, 0, 5);
arrowZMesh.rotation.x = Math.PI / 2;
arrowZMesh.name="zarrow";
axesGroup.add(arrowZMesh);
// Aggiungere gli assi alla scena
scene.add(axesGroup);
// Aggiungere le frecce sugli assi
var arrowXGeometry = new THREE.ConeGeometry(0.2, 0.5, 16);
var arrowXMaterial = new THREE.MeshBasicMaterial({ color: 0xff0000 });
var arrowXMesh = new THREE.Mesh(arrowXGeometry, arrowXMaterial);
arrowXMesh.position.set(5, 0, 0);
arrowXMesh.name = "x";
arrowXMesh.rotation.z = -Math.PI / 2;
scene.add(arrowXMesh);
var arrowYGeometry = new THREE.ConeGeometry(0.2, 0.5, 16);
var arrowYMaterial = new THREE.MeshBasicMaterial({ color: 0x00ff00 });
var arrowYMesh = new THREE.Mesh(arrowYGeometry, arrowYMaterial);
arrowYMesh.name = "y";
arrowYMesh.position.set(0, 5, 0);
scene.add(arrowYMesh);
var arrowZGeometry = new THREE.ConeGeometry(0.2, 0.5, 16);
var arrowZMaterial = new THREE.MeshBasicMaterial({ color: 0x0000ff });
var arrowZMesh = new THREE.Mesh(arrowZGeometry, arrowZMaterial);
arrowZMesh.name = "z";
arrowZMesh.position.set(0, 0, 5);
arrowZMesh.rotation.x = Math.PI / 2;
scene.add(arrowZMesh);
// creare il materiale per la geometria (ad esempio, un materiale con effetto wireframe)
var materialWireframe = new THREE.MeshBasicMaterial({ color: 0xffffff, wireframe: true });
// creare la mesh utilizzando la geometria e il materiale
var meshWireframe = new THREE.Mesh(geometryParabola, materialWireframe);
meshWireframe.name = "wire";
scene.add(meshWireframe);
// creare il materiale per la geometria
var materialSurface = new THREE.MeshPhongMaterial({ color: 0xffffff, side: THREE.FrontSide });
// creare la mesh utilizzando la geometria e il materiale
var meshSurface = new THREE.Mesh(geometryParabola, materialSurface);
meshSurface.name = "surface";
scene.add(meshSurface);
// posizionare la fotocamera in modo che la mesh sia visibile
camera.position.z = 20;
// creare un oggetto per gestire le interazioni del mouse
var controls = new THREE.OrbitControls(camera, renderer.domElement);
var lineVertices = [
new THREE.Vector3(1, 2,3),
new THREE.Vector3(3, 5,7)
];
var lineGeom = new THREE.BufferGeometry().setFromPoints(lineVertices);
var lineMat = new THREE.LineBasicMaterial({color: 0x00ffff});
var line = new THREE.Line(lineGeom, lineMat);
scene.add(line);
var midPoint = new THREE.Vector3()
.subVectors(lineVertices[1], lineVertices[0])
.multiplyScalar(0.5)
.add(lineVertices[0]);
var normal = new THREE.Vector3()
.subVectors(lineVertices[1], lineVertices[0])
.applyAxisAngle(new THREE.Vector3(0, 0, 1), Math.PI * 0.5)
.normalize();
var normalVertices = [
normal.clone().setLength(2).add(midPoint),
normal.clone().negate().setLength(2).add(midPoint)
];
var normalGeom = new THREE.BufferGeometry().setFromPoints(normalVertices);
var normalMat = new THREE.LineBasicMaterial({color: 0xff0000 });
var normal = new THREE.Line(normalGeom, normalMat);
scene.add(normal);
// aggiornare la scena e renderizzare ogni frame
function animate() {
requestAnimationFrame(animate);
renderer.render(scene, camera);
}
animate();
// Definire la funzione di aggiornamento
function updateFunction() {
// Aggiornare i coefficienti a e b in base ai valori degli slider
var a = parseFloat(aSlider.value);
var b = parseFloat(bSlider.value);
// Aggiornare la geometria della funzione
var geometryParabola = new THREE.ParametricGeometry(funzione,
8,
8
);
// definisciFunzione();
//console.log("Scena 1:" , scene.children);
scene.remove(meshSurface);
meshSurface = new THREE.Mesh(geometryParabola, materialSurface);
meshSurface.name = "newSurface";
scene.add(meshSurface);
//console.log("Scena 2:" , scene.children);
scene.remove(meshWireframe);
meshWireframe = new THREE.Mesh(geometryParabola, materialWireframe);
meshWireframe.name = "newWireframe";
scene.add(meshWireframe);
//console.log("Scena 3:" , scene.children);
}
</script>
</body>
</html>