three-stdlib/geometries/ParametricGeometries.cjs

stand-alone library of threejs examples

"use strict";
Object.defineProperty(exports, Symbol.toStringTag, { value: "Module" });
const THREE = require("three");
const ParametricGeometry = require("./ParametricGeometry.cjs");
class TubeGeometry extends ParametricGeometry.ParametricGeometry {
  constructor(path, segments = 64, radius = 1, segmentsRadius = 8, closed = false) {
    const numpoints = segments + 1;
    const frames = path.computeFrenetFrames(segments, closed), tangents = frames.tangents, normals = frames.normals, binormals = frames.binormals;
    const position = new THREE.Vector3();
    function ParametricTube(u, v, target) {
      v *= 2 * Math.PI;
      const i = Math.floor(u * (numpoints - 1));
      path.getPointAt(u, position);
      const normal = normals[i];
      const binormal = binormals[i];
      const cx = -radius * Math.cos(v);
      const cy = radius * Math.sin(v);
      position.x += cx * normal.x + cy * binormal.x;
      position.y += cx * normal.y + cy * binormal.y;
      position.z += cx * normal.z + cy * binormal.z;
      target.copy(position);
    }
    super(ParametricTube, segments, segmentsRadius);
    this.tangents = tangents;
    this.normals = normals;
    this.binormals = binormals;
    this.path = path;
    this.segments = segments;
    this.radius = radius;
    this.segmentsRadius = segmentsRadius;
    this.closed = closed;
  }
}
const ParametricGeometries = {
  klein: function(v, u, target) {
    u *= Math.PI;
    v *= 2 * Math.PI;
    u = u * 2;
    let x, z;
    if (u < Math.PI) {
      x = 3 * Math.cos(u) * (1 + Math.sin(u)) + 2 * (1 - Math.cos(u) / 2) * Math.cos(u) * Math.cos(v);
      z = -8 * Math.sin(u) - 2 * (1 - Math.cos(u) / 2) * Math.sin(u) * Math.cos(v);
    } else {
      x = 3 * Math.cos(u) * (1 + Math.sin(u)) + 2 * (1 - Math.cos(u) / 2) * Math.cos(v + Math.PI);
      z = -8 * Math.sin(u);
    }
    const y = -2 * (1 - Math.cos(u) / 2) * Math.sin(v);
    target.set(x, y, z);
  },
  plane: function(width, height) {
    return function(u, v, target) {
      const x = u * width;
      const y = 0;
      const z = v * height;
      target.set(x, y, z);
    };
  },
  mobius: function(u, t, target) {
    u = u - 0.5;
    const v = 2 * Math.PI * t;
    const a = 2;
    const x = Math.cos(v) * (a + u * Math.cos(v / 2));
    const y = Math.sin(v) * (a + u * Math.cos(v / 2));
    const z = u * Math.sin(v / 2);
    target.set(x, y, z);
  },
  mobius3d: function(u, t, target) {
    u *= Math.PI;
    t *= 2 * Math.PI;
    u = u * 2;
    const phi = u / 2;
    const major = 2.25, a = 0.125, b = 0.65;
    let x = a * Math.cos(t) * Math.cos(phi) - b * Math.sin(t) * Math.sin(phi);
    const z = a * Math.cos(t) * Math.sin(phi) + b * Math.sin(t) * Math.cos(phi);
    const y = (major + x) * Math.sin(u);
    x = (major + x) * Math.cos(u);
    target.set(x, y, z);
  },
  TubeGeometry,
  TorusKnotGeometry: class TorusKnotGeometry extends TubeGeometry {
    constructor(radius = 200, tube = 40, segmentsT = 64, segmentsR = 8, p = 2, q = 3) {
      class TorusKnotCurve extends THREE.Curve {
        getPoint(t, optionalTarget = new THREE.Vector3()) {
          const point = optionalTarget;
          t *= Math.PI * 2;
          const r = 0.5;
          const x = (1 + r * Math.cos(q * t)) * Math.cos(p * t);
          const y = (1 + r * Math.cos(q * t)) * Math.sin(p * t);
          const z = r * Math.sin(q * t);
          return point.set(x, y, z).multiplyScalar(radius);
        }
      }
      const segments = segmentsT;
      const radiusSegments = segmentsR;
      const extrudePath = new TorusKnotCurve();
      super(extrudePath, segments, tube, radiusSegments, true, false);
      this.radius = radius;
      this.tube = tube;
      this.segmentsT = segmentsT;
      this.segmentsR = segmentsR;
      this.p = p;
      this.q = q;
    }
  },
  SphereGeometry: class SphereGeometry extends ParametricGeometry.ParametricGeometry {
    constructor(size, u, v) {
      function sphere(u2, v2, target) {
        u2 *= Math.PI;
        v2 *= 2 * Math.PI;
        const x = size * Math.sin(u2) * Math.cos(v2);
        const y = size * Math.sin(u2) * Math.sin(v2);
        const z = size * Math.cos(u2);
        target.set(x, y, z);
      }
      super(sphere, u, v);
    }
  },
  PlaneGeometry: class PlaneGeometry extends ParametricGeometry.ParametricGeometry {
    constructor(width, depth, segmentsWidth, segmentsDepth) {
      function plane(u, v, target) {
        const x = u * width;
        const y = 0;
        const z = v * depth;
        target.set(x, y, z);
      }
      super(plane, segmentsWidth, segmentsDepth);
    }
  }
};
exports.ParametricGeometries = ParametricGeometries;
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