javascript
/
three.js
peilaus alkaen https://github.com/tazdij/three.js.git


			
							123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558
							
<!doctype html>
<html lang="en">
  <head>
    <title>three.js webgl - geometry - shapes</title>
    <meta charset="utf-8">
    <meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
    <style>
      body {
        font-family: Monospace;
        background-color: #f0f0f0;
        margin: 0px;
        overflow: hidden;
      }
    </style>
  </head>
  <body>
    <canvas id="debug" style="position:absolute; left:100px"></canvas>

    <script src="../build/Three.js"></script>
    <script src="../src/extras/core/Curve.js"></script>
    <script src="../src/extras/geometries/TubeGeometry.js"></script>
    <script src="js/Stats.js"></script>


    <script>

    // Lets define some curves

    // Formula from http://mathworld.wolfram.com/HeartCurve.html

    THREE.HeartCurve = THREE.Curve.create(

      function ( s ) {

        this.scale = (s === undefined) ? 5 : s;

      },

      function ( t ) {

          t *= 2 * Math.PI;

          var tx = 16 * Math.pow(Math.sin(t), 3);
              ty = 13 * Math.cos(t)
                - 5 * Math.cos(2 * t)
                - 2 * Math.cos(3 * t)
                - Math.cos(4 * t ),
              tz = 0;

          return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);

      }

    );


    // Viviani's Curve
    // http://en.wikipedia.org/wiki/Viviani%27s_curve

    THREE.VivianiCurve = THREE.Curve.create(

      function( radius ) {

          this.radius = radius;
      },

      function( t ) {

          t = t * 4 * Math.PI; // Normalized to 0..1
          var a = this.radius / 2;
          var tx = a * (1 + Math.cos(t)),
              ty = a * Math.sin(t),
              tz = 2 * a * Math.sin(t / 2);

          return new THREE.Vector3(tx, ty, tz);

      }

    );


    THREE.KnotCurve = THREE.Curve.create(

    function() {

    },

    function(t) {

        t *= 2 * Math.PI;

        var R = 10;
        var s = 50;
        var tx = s * Math.sin(t),
            ty = Math.cos(t) * (R + s * Math.cos(t)),
            tz = Math.sin(t) * (R + s * Math.cos(t));

        return new THREE.Vector3(tx, ty, tz);

    }

    );

    THREE.HelixCurve = THREE.Curve.create(

    function() {

    },

    function(t) {

        var a = 30; // radius
        var b = 150; //height
        var t2 = 2 * Math.PI * t * b / 30;
        var tx = Math.cos(t2) * a,
            ty = Math.sin(t2) * a,
            tz = b * t;

        return new THREE.Vector3(tx, ty, tz);

    }

    );

    // Replacement for TorusKnotGeometry?

    THREE.TrefoilKnot = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 10 : s;

    },

    function(t) {

        t *= Math.PI * 2;
        var tx = (2 + Math.cos(3 * t)) * Math.cos(2 * t),
        ty = (2 + Math.cos(3* t)) * Math.sin(2 * t),
        tz = Math.sin(3 * t);

        return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);

    }

    );

    // Formulas from http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page6.html

    THREE.TorusKnot = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 10 : s;

    },

    function(t) {

      var p = 3, q = 4;
        t *= Math.PI * 2;
        var tx = (2 + Math.cos(q * t)) * Math.cos(p * t),
        ty = (2 + Math.cos(q* t)) * Math.sin(p * t),
        tz = Math.sin(q * t);

        return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);

    }

    );


    THREE.CinquefoilKnot = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 10 : s;

    },

    function(t) {

      var p = 2, q = 5;
        t *= Math.PI * 2;
        var tx = (2 + Math.cos(q * t)) * Math.cos(p * t),
        ty = (2 + Math.cos(q* t)) * Math.sin(p * t),
        tz = Math.sin(q * t);

        return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);

    }

    );


    THREE.TrefoilPolynomialKnot = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 10 : s;

    },

    function(t) {

        t = t * 4 - 2;
        var tx = Math.pow(t, 3) - 3 * t,
        ty = Math.pow(t, 4) - 4 * t * t,
        tz = 1/ 5 * Math.pow(t, 5) - 2 * t;

        return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);

    }

    );

    var sin = Math.sin, pow = Math.pow, cos = Math.cos;
    // var scaleTo = function(x, y) {
    //   var r = y - x;
    //   return function(t) {
    //     t * r + x;
    //   };
    // }

    var scale = function(x, y, t) {

      var r = y - x;
      return t * r + x;

    }

    THREE.FigureEightPolynomialKnot = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 1 : s;

    },

    function(t) {

        t = scale(-4,4, t);
        var tx = 2 / 5 * t * (t * t - 7) * (t * t - 10),
        ty = pow(t, 4) - 13 * t * t,
        tz = 1/10 * t * (t * t - 4) * (t * t - 9) * (t * t - 12);

        return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);

    }

    );

    // When there's time, try more formulas at http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page4.html


    //http://www.mi.sanu.ac.rs/vismath/taylorapril2011/Taylor.pdf

    THREE.DecoratedTorusKnot4a = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 40 : s;

    },

    function(t) {

        t *= Math.PI * 2;
        var
        x = cos(2*t) * (1+0.6*(cos(5*t) + 0.75*cos(10*t))),
         y = sin(2*t) * (1+0.6*(cos(5*t) + 0.75*cos(10*t))),
          z = 0.35*sin(5*t);

        return new THREE.Vector3(x, y, z).multiplyScalar(this.scale);

    }

    );


    THREE.DecoratedTorusKnot4b = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 40 : s;

    },

    function(t) {
        var fi = t  * Math.PI * 2;
        var	x = cos(2*fi) * (1 + 0.45*cos(3*fi) + 0.4*cos(9*fi)),
			y = sin(2*fi) * (1 + 0.45*cos(3*fi) + 0.4*cos(9*fi)),
			z = 0.2*sin(9*fi);

        return new THREE.Vector3(x, y, z).multiplyScalar(this.scale);

    }

    );


    THREE.DecoratedTorusKnot5a = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 40 : s;

    },

    function(t) {

        var fi = t  * Math.PI * 2;
        var x = cos(3*fi) * (1 + 0.3*cos(5*fi) + 0.5*cos(10*fi)),
			y = sin(3*fi) * (1 + 0.3*cos(5*fi) + 0.5*cos(10*fi)),
			z = 0.2*sin(20*fi);

        return new THREE.Vector3(x, y, z).multiplyScalar(this.scale);

    }

    );

    THREE.DecoratedTorusKnot5c = THREE.Curve.create(

    function(s) {

      this.scale = (s === undefined) ? 40 : s;

    },

    function(t) {

        var fi = t  * Math.PI * 2;
        var x = cos(4*fi) * (1 + 0.5*(cos(5*fi) + 0.4*cos(20*fi))),
			y = sin(4*fi) * (1 + 0.5*(cos(5*fi) + 0.4*cos(20*fi))),
			z = 0.35*sin(15*fi);

        return new THREE.Vector3(x, y, z).multiplyScalar(this.scale);

    }

    );


    var container, stats;

    var camera, scene, renderer;

    var text, plane;

    var targetRotation = 0;
    var targetRotationOnMouseDown = 0;

    var mouseX = 0;
    var mouseXOnMouseDown = 0;

    var windowHalfX = window.innerWidth / 2;
    var windowHalfY = window.innerHeight / 2;

    init();
    animate();

    function init() {

      container = document.createElement('div');
      document.body.appendChild(container);

      var info = document.createElement('div');
      info.style.position = 'absolute';
      info.style.top = '10px';
      info.style.width = '100%';
      info.style.textAlign = 'center';
      info.innerHTML = 'Simple procedurally generated 3D shapes example by <a href="http://www.lab4games.net/zz85/blog">zz85</a><br/>Drag to spin';
      container.appendChild(info);

      scene = new THREE.Scene();

      camera = new THREE.PerspectiveCamera(50, window.innerWidth / window.innerHeight, 1, 1000);
      camera.position.set(0, 50, 500);
      scene.add(camera);

      var light = new THREE.DirectionalLight(0xffffff);
      light.position.set(0, 0, 1);
      scene.add(light);

      parent = new THREE.Object3D();
      parent.position.y = 100;
      scene.add(parent);

      function addGeometry(geometry, color, x, y, z, rx, ry, rz, s) {

          // 3d shape
          var mesh = THREE.SceneUtils.createMultiMaterialObject(geometry, [
            new THREE.MeshLambertMaterial({
                color: color,
                opacity: 0.2
            }),
           new THREE.MeshBasicMaterial({
              color: 0x000000,
              wireframe: true,
              transparent: true
          })]);

          if (geometry.debug) mesh.add(geometry.debug);

          mesh.position.set(x, y, z - 75);
          mesh.rotation.set(rx, ry, rz);
          mesh.scale.set(s, s, s);
		  //mesh.children[0].doubleSided = true;
          parent.add(mesh);

      }


      // var extrudePath = new THREE.SplineCurve3([
      //     new THREE.Vector3(0, 10, -10), new THREE.Vector3(10, 0, -10), new THREE.Vector3(20, 0, 0), new THREE.Vector3(30, 0, 10), new THREE.Vector3(30, 0, 20), new THREE.Vector3(20, 0, 30), new THREE.Vector3(10, 0, 30), new THREE.Vector3(0, 0, 30), new THREE.Vector3(-10, 10, 30), new THREE.Vector3(-10, 20, 30), new THREE.Vector3(0, 30, 30), new THREE.Vector3(10, 30, 30), new THREE.Vector3(20, 30, 15), new THREE.Vector3(10, 30, 10),

      //     new THREE.Vector3(0, 30, 10), new THREE.Vector3(-10, 20, 10), new THREE.Vector3(-10, 10, 10), new THREE.Vector3(0, 0, 10), new THREE.Vector3(10, -10, 10), new THREE.Vector3(20, -15, 10), new THREE.Vector3(30, -15, 10), new THREE.Vector3(40, -15, 10), new THREE.Vector3(50, -15, 10), new THREE.Vector3(60, 0, 10), new THREE.Vector3(70, 0, 0), new THREE.Vector3(80, 0, 0), new THREE.Vector3(90, 0, 0), new THREE.Vector3(100, 0, 0)]);

      // var extrudePath = new THREE.HeartCurve(3.5);
      // var extrudePath = new THREE.VivianiCurve(70);
      // var extrudePath = new THREE.KnotCurve();
	  //extrudePath = new THREE.HelixCurve();

      // var extrudePath = new THREE.ClosedSplineCurve3([
      //   new THREE.Vector3(0, -40, -40),
      //   new THREE.Vector3(0, 40, -40),
      //   new THREE.Vector3(0, 140, -40),
      //   new THREE.Vector3(0, 40, 40),
      //   new THREE.Vector3(0, -40, 40),
      // ]);

      extrudePath = new THREE.TrefoilKnot();
      // extrudePath = new THREE.TorusKnot(20);
      // extrudePath = new THREE.CinquefoilKnot(20);
      // extrudePath = new THREE.TrefoilPolynomialKnot(14);
      // extrudePath = new THREE.FigureEightPolynomialKnot();
      // extrudePath = new THREE.DecoratedTorusKnot4a();
	  // extrudePath = new THREE.DecoratedTorusKnot4b();
      // extrudePath = new THREE.DecoratedTorusKnot5a();
      // extrudePath = new THREE.DecoratedTorusKnot5c();

      var closed = true;
      var debug = true;
	  var tube = new THREE.TubeGeometry(extrudePath, 100, 2, 3, closed, debug);

      addGeometry(tube, 0xff00ff, 0, -80, 0, 0, 0, 0, 6);


      //
      renderer = new THREE.WebGLRenderer({
          antialias: true
      });
      renderer.setSize(window.innerWidth, window.innerHeight);

      container.appendChild(renderer.domElement);

      stats = new Stats();
      stats.domElement.style.position = 'absolute';
      stats.domElement.style.top = '0px';
      container.appendChild(stats.domElement);

      document.addEventListener('mousedown', onDocumentMouseDown, false);
      document.addEventListener('touchstart', onDocumentTouchStart, false);
      document.addEventListener('touchmove', onDocumentTouchMove, false);

    }

    //

    function onDocumentMouseDown(event) {

      event.preventDefault();

      document.addEventListener('mousemove', onDocumentMouseMove, false);
      document.addEventListener('mouseup', onDocumentMouseUp, false);
      document.addEventListener('mouseout', onDocumentMouseOut, false);

      mouseXOnMouseDown = event.clientX - windowHalfX;
      targetRotationOnMouseDown = targetRotation;

    }

    function onDocumentMouseMove(event) {

      mouseX = event.clientX - windowHalfX;

      targetRotation = targetRotationOnMouseDown + (mouseX - mouseXOnMouseDown) * 0.02;

    }

    function onDocumentMouseUp(event) {

      document.removeEventListener('mousemove', onDocumentMouseMove, false);
      document.removeEventListener('mouseup', onDocumentMouseUp, false);
      document.removeEventListener('mouseout', onDocumentMouseOut, false);

    }

    function onDocumentMouseOut(event) {

      document.removeEventListener('mousemove', onDocumentMouseMove, false);
      document.removeEventListener('mouseup', onDocumentMouseUp, false);
      document.removeEventListener('mouseout', onDocumentMouseOut, false);

    }

    function onDocumentTouchStart(event) {

      if (event.touches.length == 1) {

          event.preventDefault();

          mouseXOnMouseDown = event.touches[0].pageX - windowHalfX;
          targetRotationOnMouseDown = targetRotation;

      }

    }

    function onDocumentTouchMove(event) {

      if (event.touches.length == 1) {

          event.preventDefault();

          mouseX = event.touches[0].pageX - windowHalfX;
          targetRotation = targetRotationOnMouseDown + (mouseX - mouseXOnMouseDown) * 0.05;

      }

    }

    //

    function animate() {

      requestAnimationFrame(animate);

      render();
      stats.update();

    }

    function render() {

      parent.rotation.y += (targetRotation - parent.rotation.y) * 0.05;
      renderer.render(scene, camera);

    }
	</script>

  </body>
</html>