/** * @author mrdoob / http://mrdoob.com/ * @author alteredq / http://alteredqualia.com/ */ import { Vector3 } from "../../../build/three.module.js"; var GeometryUtils = { /** * Generates 2D-Coordinates in a very fast way. * * @author Dylan Grafmyre * * Based on work by: * @author Thomas Diewald * @link http://www.openprocessing.org/sketch/15493 * * @param center Center of Hilbert curve. * @param size Total width of Hilbert curve. * @param iterations Number of subdivisions. * @param v0 Corner index -X, -Z. * @param v1 Corner index -X, +Z. * @param v2 Corner index +X, +Z. * @param v3 Corner index +X, -Z. */ hilbert2D: function ( center, size, iterations, v0, v1, v2, v3 ) { // Default Vars var center = center !== undefined ? center : new Vector3( 0, 0, 0 ), size = size !== undefined ? size : 10, half = size / 2, iterations = iterations !== undefined ? iterations : 1, v0 = v0 !== undefined ? v0 : 0, v1 = v1 !== undefined ? v1 : 1, v2 = v2 !== undefined ? v2 : 2, v3 = v3 !== undefined ? v3 : 3 ; var vec_s = [ new Vector3( center.x - half, center.y, center.z - half ), new Vector3( center.x - half, center.y, center.z + half ), new Vector3( center.x + half, center.y, center.z + half ), new Vector3( center.x + half, center.y, center.z - half ) ]; var vec = [ vec_s[ v0 ], vec_s[ v1 ], vec_s[ v2 ], vec_s[ v3 ] ]; // Recurse iterations if ( 0 <= -- iterations ) { var tmp = []; Array.prototype.push.apply( tmp, GeometryUtils.hilbert2D( vec[ 0 ], half, iterations, v0, v3, v2, v1 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert2D( vec[ 1 ], half, iterations, v0, v1, v2, v3 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert2D( vec[ 2 ], half, iterations, v0, v1, v2, v3 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert2D( vec[ 3 ], half, iterations, v2, v1, v0, v3 ) ); // Return recursive call return tmp; } // Return complete Hilbert Curve. return vec; }, /** * Generates 3D-Coordinates in a very fast way. * * @author Dylan Grafmyre * * Based on work by: * @author Thomas Diewald * @link http://www.openprocessing.org/visuals/?visualID=15599 * * @param center Center of Hilbert curve. * @param size Total width of Hilbert curve. * @param iterations Number of subdivisions. * @param v0 Corner index -X, +Y, -Z. * @param v1 Corner index -X, +Y, +Z. * @param v2 Corner index -X, -Y, +Z. * @param v3 Corner index -X, -Y, -Z. * @param v4 Corner index +X, -Y, -Z. * @param v5 Corner index +X, -Y, +Z. * @param v6 Corner index +X, +Y, +Z. * @param v7 Corner index +X, +Y, -Z. */ hilbert3D: function ( center, size, iterations, v0, v1, v2, v3, v4, v5, v6, v7 ) { // Default Vars var center = center !== undefined ? center : new Vector3( 0, 0, 0 ), size = size !== undefined ? size : 10, half = size / 2, iterations = iterations !== undefined ? iterations : 1, v0 = v0 !== undefined ? v0 : 0, v1 = v1 !== undefined ? v1 : 1, v2 = v2 !== undefined ? v2 : 2, v3 = v3 !== undefined ? v3 : 3, v4 = v4 !== undefined ? v4 : 4, v5 = v5 !== undefined ? v5 : 5, v6 = v6 !== undefined ? v6 : 6, v7 = v7 !== undefined ? v7 : 7 ; var vec_s = [ new Vector3( center.x - half, center.y + half, center.z - half ), new Vector3( center.x - half, center.y + half, center.z + half ), new Vector3( center.x - half, center.y - half, center.z + half ), new Vector3( center.x - half, center.y - half, center.z - half ), new Vector3( center.x + half, center.y - half, center.z - half ), new Vector3( center.x + half, center.y - half, center.z + half ), new Vector3( center.x + half, center.y + half, center.z + half ), new Vector3( center.x + half, center.y + half, center.z - half ) ]; var vec = [ vec_s[ v0 ], vec_s[ v1 ], vec_s[ v2 ], vec_s[ v3 ], vec_s[ v4 ], vec_s[ v5 ], vec_s[ v6 ], vec_s[ v7 ] ]; // Recurse iterations if ( -- iterations >= 0 ) { var tmp = []; Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 0 ], half, iterations, v0, v3, v4, v7, v6, v5, v2, v1 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 1 ], half, iterations, v0, v7, v6, v1, v2, v5, v4, v3 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 2 ], half, iterations, v0, v7, v6, v1, v2, v5, v4, v3 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 3 ], half, iterations, v2, v3, v0, v1, v6, v7, v4, v5 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 4 ], half, iterations, v2, v3, v0, v1, v6, v7, v4, v5 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 5 ], half, iterations, v4, v3, v2, v5, v6, v1, v0, v7 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 6 ], half, iterations, v4, v3, v2, v5, v6, v1, v0, v7 ) ); Array.prototype.push.apply( tmp, GeometryUtils.hilbert3D( vec[ 7 ], half, iterations, v6, v5, v2, v1, v0, v3, v4, v7 ) ); // Return recursive call return tmp; } // Return complete Hilbert Curve. return vec; } }; export { GeometryUtils };