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Octree.js
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/*!
*
* threeoctree.js (r60) / https://github.com/collinhover/threeoctree
* (sparse) dynamic 3D spatial representation structure for fast searches.
*
* @author Collin Hover / http://collinhover.com/
* based on Dynamic Octree by Piko3D @ http://www.piko3d.com/ and Octree by Marek Pawlowski @ pawlowski.it
*
*/
( function ( THREE ) {
"use strict";
/*===================================================
utility
=====================================================*/
function isNumber ( n ) {
return ! isNaN( n ) && isFinite( n );
}
function isArray ( target ) {
return Object.prototype.toString.call( target ) === '[object Array]';
}
function toArray ( target ) {
return target ? ( isArray ( target ) !== true ? [ target ] : target ) : [];
}
function indexOfValue( array, value ) {
for ( var i = 0, il = array.length; i < il; i ++ ) {
if ( array[ i ] === value ) {
return i;
}
}
return - 1;
}
function indexOfPropertyWithValue( array, property, value ) {
for ( var i = 0, il = array.length; i < il; i ++ ) {
if ( array[ i ][ property ] === value ) {
return i;
}
}
return - 1;
}
/*===================================================
octree
=====================================================*/
THREE.Octree = function ( parameters ) {
// handle parameters
parameters = parameters || {};
parameters.tree = this;
// static properties ( modification is not recommended )
this.nodeCount = 0;
this.INDEX_INSIDE_CROSS = - 1;
this.INDEX_OUTSIDE_OFFSET = 2;
this.INDEX_OUTSIDE_POS_X = isNumber( parameters.INDEX_OUTSIDE_POS_X ) ? parameters.INDEX_OUTSIDE_POS_X : 0;
this.INDEX_OUTSIDE_NEG_X = isNumber( parameters.INDEX_OUTSIDE_NEG_X ) ? parameters.INDEX_OUTSIDE_NEG_X : 1;
this.INDEX_OUTSIDE_POS_Y = isNumber( parameters.INDEX_OUTSIDE_POS_Y ) ? parameters.INDEX_OUTSIDE_POS_Y : 2;
this.INDEX_OUTSIDE_NEG_Y = isNumber( parameters.INDEX_OUTSIDE_NEG_Y ) ? parameters.INDEX_OUTSIDE_NEG_Y : 3;
this.INDEX_OUTSIDE_POS_Z = isNumber( parameters.INDEX_OUTSIDE_POS_Z ) ? parameters.INDEX_OUTSIDE_POS_Z : 4;
this.INDEX_OUTSIDE_NEG_Z = isNumber( parameters.INDEX_OUTSIDE_NEG_Z ) ? parameters.INDEX_OUTSIDE_NEG_Z : 5;
this.INDEX_OUTSIDE_MAP = [];
this.INDEX_OUTSIDE_MAP[ this.INDEX_OUTSIDE_POS_X ] = { index: this.INDEX_OUTSIDE_POS_X, count: 0, x: 1, y: 0, z: 0 };
this.INDEX_OUTSIDE_MAP[ this.INDEX_OUTSIDE_NEG_X ] = { index: this.INDEX_OUTSIDE_NEG_X, count: 0, x: - 1, y: 0, z: 0 };
this.INDEX_OUTSIDE_MAP[ this.INDEX_OUTSIDE_POS_Y ] = { index: this.INDEX_OUTSIDE_POS_Y, count: 0, x: 0, y: 1, z: 0 };
this.INDEX_OUTSIDE_MAP[ this.INDEX_OUTSIDE_NEG_Y ] = { index: this.INDEX_OUTSIDE_NEG_Y, count: 0, x: 0, y: - 1, z: 0 };
this.INDEX_OUTSIDE_MAP[ this.INDEX_OUTSIDE_POS_Z ] = { index: this.INDEX_OUTSIDE_POS_Z, count: 0, x: 0, y: 0, z: 1 };
this.INDEX_OUTSIDE_MAP[ this.INDEX_OUTSIDE_NEG_Z ] = { index: this.INDEX_OUTSIDE_NEG_Z, count: 0, x: 0, y: 0, z: - 1 };
this.FLAG_POS_X = 1 << ( this.INDEX_OUTSIDE_POS_X + 1 );
this.FLAG_NEG_X = 1 << ( this.INDEX_OUTSIDE_NEG_X + 1 );
this.FLAG_POS_Y = 1 << ( this.INDEX_OUTSIDE_POS_Y + 1 );
this.FLAG_NEG_Y = 1 << ( this.INDEX_OUTSIDE_NEG_Y + 1 );
this.FLAG_POS_Z = 1 << ( this.INDEX_OUTSIDE_POS_Z + 1 );
this.FLAG_NEG_Z = 1 << ( this.INDEX_OUTSIDE_NEG_Z + 1 );
this.utilVec31Search = new THREE.Vector3();
this.utilVec32Search = new THREE.Vector3();
// pass scene to see octree structure
this.scene = parameters.scene;
if ( this.scene ) {
this.visualGeometry = new THREE.BoxGeometry( 1, 1, 1 );
this.visualMaterial = new THREE.MeshBasicMaterial( { color: 0xFF0066, wireframe: true, wireframeLinewidth: 1 } );
}
// properties
this.objects = [];
this.objectsMap = {};
this.objectsData = [];
this.objectsDeferred = [];
this.depthMax = isNumber( parameters.depthMax ) ? parameters.depthMax : Infinity;
this.objectsThreshold = isNumber( parameters.objectsThreshold ) ? parameters.objectsThreshold : 8;
this.overlapPct = isNumber( parameters.overlapPct ) ? parameters.overlapPct : 0.15;
this.undeferred = parameters.undeferred || false;
this.root = parameters.root instanceof THREE.OctreeNode ? parameters.root : new THREE.OctreeNode( parameters );
};
THREE.Octree.prototype = {
update: function () {
// add any deferred objects that were waiting for render cycle
if ( this.objectsDeferred.length > 0 ) {
for ( var i = 0, il = this.objectsDeferred.length; i < il; i ++ ) {
var deferred = this.objectsDeferred[ i ];
this.addDeferred( deferred.object, deferred.options );
}
this.objectsDeferred.length = 0;
}
},
add: function ( object, options ) {
// add immediately
if ( this.undeferred ) {
this.updateObject( object );
this.addDeferred( object, options );
} else {
// defer add until update called
this.objectsDeferred.push( { object: object, options: options } );
}
},
addDeferred: function ( object, options ) {
var i, l,
geometry,
faces,
useFaces,
vertices,
useVertices,
objectData;
// ensure object is not object data
if ( object instanceof THREE.OctreeObjectData ) {
object = object.object;
}
// check uuid to avoid duplicates
if ( ! object.uuid ) {
object.uuid = THREE.Math.generateUUID();
}
if ( ! this.objectsMap[ object.uuid ] ) {
// store
this.objects.push( object );
this.objectsMap[ object.uuid ] = object;
// check options
if ( options ) {
useFaces = options.useFaces;
useVertices = options.useVertices;
}
if ( useVertices === true ) {
geometry = object.geometry;
vertices = geometry.vertices;
for ( i = 0, l = vertices.length; i < l; i ++ ) {
this.addObjectData( object, vertices[ i ] );
}
} else if ( useFaces === true ) {
geometry = object.geometry;
faces = geometry.faces;
for ( i = 0, l = faces.length; i < l; i ++ ) {
this.addObjectData( object, faces[ i ] );
}
} else {
this.addObjectData( object );
}
}
},
addObjectData: function ( object, part ) {
var objectData = new THREE.OctreeObjectData( object, part );
// add to tree objects data list
this.objectsData.push( objectData );
// add to nodes
this.root.addObject( objectData );
},
remove: function ( object ) {
var i, l,
objectData = object,
index,
objectsDataRemoved;
// ensure object is not object data for index search
if ( object instanceof THREE.OctreeObjectData ) {
object = object.object;
}
// check uuid
if ( this.objectsMap[ object.uuid ] ) {
this.objectsMap[ object.uuid ] = undefined;
// check and remove from objects, nodes, and data lists
index = indexOfValue( this.objects, object );
if ( index !== - 1 ) {
this.objects.splice( index, 1 );
// remove from nodes
objectsDataRemoved = this.root.removeObject( objectData );
// remove from objects data list
for ( i = 0, l = objectsDataRemoved.length; i < l; i ++ ) {
objectData = objectsDataRemoved[ i ];
index = indexOfValue( this.objectsData, objectData );
if ( index !== - 1 ) {
this.objectsData.splice( index, 1 );
}
}
}
} else if ( this.objectsDeferred.length > 0 ) {
// check and remove from deferred
index = indexOfPropertyWithValue( this.objectsDeferred, 'object', object );
if ( index !== - 1 ) {
this.objectsDeferred.splice( index, 1 );
}
}
},
extend: function ( octree ) {
var i, l,
objectsData,
objectData;
if ( octree instanceof THREE.Octree ) {
// for each object data
objectsData = octree.objectsData;
for ( i = 0, l = objectsData.length; i < l; i ++ ) {
objectData = objectsData[ i ];
this.add( objectData, { useFaces: objectData.faces, useVertices: objectData.vertices } );
}
}
},
rebuild: function () {
var i, l,
node,
object,
objectData,
indexOctant,
indexOctantLast,
objectsUpdate = [];
// check all object data for changes in position
// assumes all object matrices are up to date
for ( i = 0, l = this.objectsData.length; i < l; i ++ ) {
objectData = this.objectsData[ i ];
node = objectData.node;
// update object
objectData.update();
// if position has changed since last organization of object in tree
if ( node instanceof THREE.OctreeNode && ! objectData.positionLast.equals( objectData.position ) ) {
// get octant index of object within current node
indexOctantLast = objectData.indexOctant;
indexOctant = node.getOctantIndex( objectData );
// if object octant index has changed
if ( indexOctant !== indexOctantLast ) {
// add to update list
objectsUpdate.push( objectData );
}
}
}
// update changed objects
for ( i = 0, l = objectsUpdate.length; i < l; i ++ ) {
objectData = objectsUpdate[ i ];
// remove object from current node
objectData.node.removeObject( objectData );
// add object to tree root
this.root.addObject( objectData );
}
},
updateObject: function ( object ) {
var i, l,
parentCascade = [ object ],
parent,
parentUpdate;
// search all parents between object and root for world matrix update
parent = object.parent;
while ( parent ) {
parentCascade.push( parent );
parent = parent.parent;
}
for ( i = 0, l = parentCascade.length; i < l; i ++ ) {
parent = parentCascade[ i ];
if ( parent.matrixWorldNeedsUpdate === true ) {
parentUpdate = parent;
}
}
// update world matrix starting at uppermost parent that needs update
if ( typeof parentUpdate !== 'undefined' ) {
parentUpdate.updateMatrixWorld();
}
},
search: function ( position, radius, organizeByObject, direction ) {
var i, l,
node,
objects,
objectData,
object,
results,
resultData,
resultsObjectsIndices,
resultObjectIndex,
directionPct;
// add root objects
objects = [].concat( this.root.objects );
// ensure radius (i.e. distance of ray) is a number
if ( ! ( radius > 0 ) ) {
radius = Number.MAX_VALUE;
}
// if direction passed, normalize and find pct
if ( direction instanceof THREE.Vector3 ) {
direction = this.utilVec31Search.copy( direction ).normalize();
directionPct = this.utilVec32Search.set( 1, 1, 1 ).divide( direction );
}
// search each node of root
for ( i = 0, l = this.root.nodesIndices.length; i < l; i ++ ) {
node = this.root.nodesByIndex[ this.root.nodesIndices[ i ] ];
objects = node.search( position, radius, objects, direction, directionPct );
}
// if should organize results by object
if ( organizeByObject === true ) {
results = [];
resultsObjectsIndices = [];
// for each object data found
for ( i = 0, l = objects.length; i < l; i ++ ) {
objectData = objects[ i ];
object = objectData.object;
resultObjectIndex = indexOfValue( resultsObjectsIndices, object );
// if needed, create new result data
if ( resultObjectIndex === - 1 ) {
resultData = {
object: object,
faces: [],
vertices: []
};
results.push( resultData );
resultsObjectsIndices.push( object );
} else {
resultData = results[ resultObjectIndex ];
}
// object data has faces or vertices, add to list
if ( objectData.faces ) {
resultData.faces.push( objectData.faces );
} else if ( objectData.vertices ) {
resultData.vertices.push( objectData.vertices );
}
}
} else {
results = objects;
}
return results;
},
setRoot: function ( root ) {
if ( root instanceof THREE.OctreeNode ) {
// store new root
this.root = root;
// update properties
this.root.updateProperties();
}
},
getDepthEnd: function () {
return this.root.getDepthEnd();
},
getNodeCountEnd: function () {
return this.root.getNodeCountEnd();
},
getObjectCountEnd: function () {
return this.root.getObjectCountEnd();
},
toConsole: function () {
this.root.toConsole();
}
};
/*===================================================
object data
=====================================================*/
THREE.OctreeObjectData = function ( object, part ) {
// properties
this.object = object;
// handle part by type
if ( part instanceof THREE.Face3 ) {
this.faces = part;
this.face3 = true;
this.utilVec31FaceBounds = new THREE.Vector3();
} else if ( part instanceof THREE.Vector3 ) {
this.vertices = part;
}
this.radius = 0;
this.position = new THREE.Vector3();
// initial update
if ( this.object instanceof THREE.Object3D ) {
this.update();
}
this.positionLast = this.position.clone();
};
THREE.OctreeObjectData.prototype = {
update: function () {
if ( this.face3 ) {
this.radius = this.getFace3BoundingRadius( this.object, this.faces );
this.position.copy( this.faces.centroid ).applyMatrix4( this.object.matrixWorld );
} else if ( this.vertices ) {
this.radius = this.object.material.size || 1;
this.position.copy( this.vertices ).applyMatrix4( this.object.matrixWorld );
} else {
if ( this.object.geometry ) {
if ( this.object.geometry.boundingSphere === null ) {
this.object.geometry.computeBoundingSphere();
}
this.radius = this.object.geometry.boundingSphere.radius;
this.position.copy( this.object.geometry.boundingSphere.center ).applyMatrix4( this.object.matrixWorld );
} else {
this.radius = this.object.boundRadius;
this.position.setFromMatrixPosition( this.object.matrixWorld );
}
}
this.radius = this.radius * Math.max( this.object.scale.x, this.object.scale.y, this.object.scale.z );
},
getFace3BoundingRadius: function ( object, face ) {
if ( face.centroid === undefined ) face.centroid = new THREE.Vector3();
var geometry = object.geometry || object,
vertices = geometry.vertices,
centroid = face.centroid,
va = vertices[ face.a ], vb = vertices[ face.b ], vc = vertices[ face.c ],
centroidToVert = this.utilVec31FaceBounds,
radius;
centroid.addVectors( va, vb ).add( vc ).divideScalar( 3 );
radius = Math.max( centroidToVert.subVectors( centroid, va ).length(), centroidToVert.subVectors( centroid, vb ).length(), centroidToVert.subVectors( centroid, vc ).length() );
return radius;
}
};
/*===================================================
node
=====================================================*/
THREE.OctreeNode = function ( parameters ) {
// utility
this.utilVec31Branch = new THREE.Vector3();
this.utilVec31Expand = new THREE.Vector3();
this.utilVec31Ray = new THREE.Vector3();
// handle parameters
parameters = parameters || {};
// store or create tree
if ( parameters.tree instanceof THREE.Octree ) {
this.tree = parameters.tree;
} else if ( parameters.parent instanceof THREE.OctreeNode !== true ) {
parameters.root = this;
this.tree = new THREE.Octree( parameters );
}
// basic properties
this.id = this.tree.nodeCount ++;
this.position = parameters.position instanceof THREE.Vector3 ? parameters.position : new THREE.Vector3();
this.radius = parameters.radius > 0 ? parameters.radius : 1;
this.indexOctant = parameters.indexOctant;
this.depth = 0;
// reset and assign parent
this.reset();
this.setParent( parameters.parent );
// additional properties
this.overlap = this.radius * this.tree.overlapPct;
this.radiusOverlap = this.radius + this.overlap;
this.left = this.position.x - this.radiusOverlap;
this.right = this.position.x + this.radiusOverlap;
this.bottom = this.position.y - this.radiusOverlap;
this.top = this.position.y + this.radiusOverlap;
this.back = this.position.z - this.radiusOverlap;
this.front = this.position.z + this.radiusOverlap;
// visual
if ( this.tree.scene ) {
this.visual = new THREE.Mesh( this.tree.visualGeometry, this.tree.visualMaterial );
this.visual.scale.set( this.radiusOverlap * 2, this.radiusOverlap * 2, this.radiusOverlap * 2 );
this.visual.position.copy( this.position );
this.tree.scene.add( this.visual );
}
};
THREE.OctreeNode.prototype = {
setParent: function ( parent ) {
// store new parent
if ( parent !== this && this.parent !== parent ) {
this.parent = parent;
// update properties
this.updateProperties();
}
},
updateProperties: function () {
var i, l;
// properties
if ( this.parent instanceof THREE.OctreeNode ) {
this.tree = this.parent.tree;
this.depth = this.parent.depth + 1;
} else {
this.depth = 0;
}
// cascade
for ( i = 0, l = this.nodesIndices.length; i < l; i ++ ) {
this.nodesByIndex[ this.nodesIndices[ i ] ].updateProperties();
}
},
reset: function ( cascade, removeVisual ) {
var i, l,
node,
nodesIndices = this.nodesIndices || [],
nodesByIndex = this.nodesByIndex;
this.objects = [];
this.nodesIndices = [];
this.nodesByIndex = {};
// unset parent in nodes
for ( i = 0, l = nodesIndices.length; i < l; i ++ ) {
node = nodesByIndex[ nodesIndices[ i ] ];
node.setParent( undefined );
if ( cascade === true ) {
node.reset( cascade, removeVisual );
}
}
// visual
if ( removeVisual === true && this.visual && this.visual.parent ) {
this.visual.parent.remove( this.visual );
}
},
addNode: function ( node, indexOctant ) {
node.indexOctant = indexOctant;
if ( indexOfValue( this.nodesIndices, indexOctant ) === - 1 ) {
this.nodesIndices.push( indexOctant );
}
this.nodesByIndex[ indexOctant ] = node;
if ( node.parent !== this ) {
node.setParent( this );
}
},
removeNode: function ( indexOctant ) {
var index,
node;
index = indexOfValue( this.nodesIndices, indexOctant );
this.nodesIndices.splice( index, 1 );
node = node || this.nodesByIndex[ indexOctant ];
delete this.nodesByIndex[ indexOctant ];
if ( node.parent === this ) {
node.setParent( undefined );
}
},
addObject: function ( object ) {
var index,
indexOctant,
node;
// get object octant index
indexOctant = this.getOctantIndex( object );
// if object fully contained by an octant, add to subtree
if ( indexOctant > - 1 && this.nodesIndices.length > 0 ) {
node = this.branch( indexOctant );
node.addObject( object );
} else if ( indexOctant < - 1 && this.parent instanceof THREE.OctreeNode ) {
// if object lies outside bounds, add to parent node
this.parent.addObject( object );
} else {
// add to this objects list
index = indexOfValue( this.objects, object );
if ( index === - 1 ) {
this.objects.push( object );
}
// node reference
object.node = this;
// check if need to expand, split, or both
this.checkGrow();
}
},
addObjectWithoutCheck: function ( objects ) {
var i, l,
object;
for ( i = 0, l = objects.length; i < l; i ++ ) {
object = objects[ i ];
this.objects.push( object );
object.node = this;
}
},
removeObject: function ( object ) {
var i, l,
nodesRemovedFrom,
removeData;
// cascade through tree to find and remove object
removeData = this.removeObjectRecursive( object, { searchComplete: false, nodesRemovedFrom: [], objectsDataRemoved: [] } );
// if object removed, try to shrink the nodes it was removed from
nodesRemovedFrom = removeData.nodesRemovedFrom;
if ( nodesRemovedFrom.length > 0 ) {
for ( i = 0, l = nodesRemovedFrom.length; i < l; i ++ ) {
nodesRemovedFrom[ i ].shrink();
}
}
return removeData.objectsDataRemoved;
},
removeObjectRecursive: function ( object, removeData ) {