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/** | |
* Hilbert Curve: Generates 2D-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. | |
*/ | |
function hilbert3D( center, size, iterations, v0, v1, v2, v3, v4, v5, v6, v7 ) { | |
// Default Vars | |
var center = center !== undefined ? center : new THREE.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 THREE.Vector3( center.x - half, center.y + half, center.z - half ), | |
new THREE.Vector3( center.x - half, center.y + half, center.z + half ), | |
new THREE.Vector3( center.x - half, center.y - half, center.z + half ), | |
new THREE.Vector3( center.x - half, center.y - half, center.z - half ), | |
new THREE.Vector3( center.x + half, center.y - half, center.z - half ), | |
new THREE.Vector3( center.x + half, center.y - half, center.z + half ), | |
new THREE.Vector3( center.x + half, center.y + half, center.z + half ), | |
new THREE.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, hilbert3D( vec[ 0 ], half, iterations, v0, v3, v4, v7, v6, v5, v2, v1 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 1 ], half, iterations, v0, v7, v6, v1, v2, v5, v4, v3 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 2 ], half, iterations, v0, v7, v6, v1, v2, v5, v4, v3 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 3 ], half, iterations, v2, v3, v0, v1, v6, v7, v4, v5 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 4 ], half, iterations, v2, v3, v0, v1, v6, v7, v4, v5 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 5 ], half, iterations, v4, v3, v2, v5, v6, v1, v0, v7 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 6 ], half, iterations, v4, v3, v2, v5, v6, v1, v0, v7 ) ); | |
Array.prototype.push.apply( tmp, hilbert3D( vec[ 7 ], half, iterations, v6, v5, v2, v1, v0, v3, v4, v7 ) ); | |
// Return recursive call | |
return tmp; | |
} | |
// Return complete Hilbert Curve. | |
return vec; | |
} | |