three.js/examples/js/animation/CCDIKSolver.js

( function () {

	const _q = new THREE.Quaternion();

	const _targetPos = new THREE.Vector3();

	const _targetVec = new THREE.Vector3();

	const _effectorPos = new THREE.Vector3();

	const _effectorVec = new THREE.Vector3();

	const _linkPos = new THREE.Vector3();

	const _invLinkQ = new THREE.Quaternion();

	const _linkScale = new THREE.Vector3();

	const _axis = new THREE.Vector3();

	const _vector = new THREE.Vector3();

	const _matrix = new THREE.Matrix4();
	/**
 * CCD Algorithm
 *  - https://sites.google.com/site/auraliusproject/ccd-algorithm
 *
 * // ik parameter example
 * //
 * // target, effector, index in links are bone index in skeleton.bones.
 * // the bones relation should be
 * // <-- parent                                  child -->
 * // links[ n ], links[ n - 1 ], ..., links[ 0 ], effector
 * iks = [ {
 *	target: 1,
 *	effector: 2,
 *	links: [ { index: 5, limitation: new THREE.Vector3( 1, 0, 0 ) }, { index: 4, enabled: false }, { index : 3 } ],
 *	iteration: 10,
 *	minAngle: 0.0,
 *	maxAngle: 1.0,
 * } ];
 */


	class CCDIKSolver {

		/**
   * @param {THREE.SkinnedMesh} mesh
   * @param {Array<Object>} iks
   */
		constructor( mesh, iks = [] ) {

			this.mesh = mesh;
			this.iks = iks;

			this._valid();

		}
		/**
   * Update all IK bones.
   *
   * @return {CCDIKSolver}
   */


		update() {

			const iks = this.iks;

			for ( let i = 0, il = iks.length; i < il; i ++ ) {

				this.updateOne( iks[ i ] );

			}

			return this;

		}
		/**
   * Update one IK bone
   *
   * @param {Object} ik parameter
   * @return {CCDIKSolver}
   */


		updateOne( ik ) {

			const bones = this.mesh.skeleton.bones; // for reference overhead reduction in loop

			const math = Math;
			const effector = bones[ ik.effector ];
			const target = bones[ ik.target ]; // don't use getWorldPosition() here for the performance
			// because it calls updateMatrixWorld( true ) inside.

			_targetPos.setFromMatrixPosition( target.matrixWorld );

			const links = ik.links;
			const iteration = ik.iteration !== undefined ? ik.iteration : 1;

			for ( let i = 0; i < iteration; i ++ ) {

				let rotated = false;

				for ( let j = 0, jl = links.length; j < jl; j ++ ) {

					const link = bones[ links[ j ].index ]; // skip this link and following links.
					// this skip is used for MMD performance optimization.

					if ( links[ j ].enabled === false ) break;
					const limitation = links[ j ].limitation;
					const rotationMin = links[ j ].rotationMin;
					const rotationMax = links[ j ].rotationMax; // don't use getWorldPosition/Quaternion() here for the performance
					// because they call updateMatrixWorld( true ) inside.

					link.matrixWorld.decompose( _linkPos, _invLinkQ, _linkScale );

					_invLinkQ.invert();

					_effectorPos.setFromMatrixPosition( effector.matrixWorld ); // work in link world


					_effectorVec.subVectors( _effectorPos, _linkPos );

					_effectorVec.applyQuaternion( _invLinkQ );

					_effectorVec.normalize();

					_targetVec.subVectors( _targetPos, _linkPos );

					_targetVec.applyQuaternion( _invLinkQ );

					_targetVec.normalize();

					let angle = _targetVec.dot( _effectorVec );

					if ( angle > 1.0 ) {

						angle = 1.0;

					} else if ( angle < - 1.0 ) {

						angle = - 1.0;

					}

					angle = math.acos( angle ); // skip if changing angle is too small to prevent vibration of bone

					if ( angle < 1e-5 ) continue;

					if ( ik.minAngle !== undefined && angle < ik.minAngle ) {

						angle = ik.minAngle;

					}

					if ( ik.maxAngle !== undefined && angle > ik.maxAngle ) {

						angle = ik.maxAngle;

					}

					_axis.crossVectors( _effectorVec, _targetVec );

					_axis.normalize();

					_q.setFromAxisAngle( _axis, angle );

					link.quaternion.multiply( _q ); // TODO: re-consider the limitation specification

					if ( limitation !== undefined ) {

						let c = link.quaternion.w;
						if ( c > 1.0 ) c = 1.0;
						const c2 = math.sqrt( 1 - c * c );
						link.quaternion.set( limitation.x * c2, limitation.y * c2, limitation.z * c2, c );

					}

					if ( rotationMin !== undefined ) {

						link.rotation.setFromVector3( link.rotation.toVector3( _vector ).max( rotationMin ) );

					}

					if ( rotationMax !== undefined ) {

						link.rotation.setFromVector3( link.rotation.toVector3( _vector ).min( rotationMax ) );

					}

					link.updateMatrixWorld( true );
					rotated = true;

				}

				if ( ! rotated ) break;

			}

			return this;

		}
		/**
   * Creates Helper
   *
   * @return {CCDIKHelper}
   */


		createHelper() {

			return new CCDIKHelper( this.mesh, this.mesh.geometry.userData.MMD.iks );

		} // private methods


		_valid() {

			const iks = this.iks;
			const bones = this.mesh.skeleton.bones;

			for ( let i = 0, il = iks.length; i < il; i ++ ) {

				const ik = iks[ i ];
				const effector = bones[ ik.effector ];
				const links = ik.links;
				let link0, link1;
				link0 = effector;

				for ( let j = 0, jl = links.length; j < jl; j ++ ) {

					link1 = bones[ links[ j ].index ];

					if ( link0.parent !== link1 ) {

						console.warn( 'THREE.CCDIKSolver: bone ' + link0.name + ' is not the child of bone ' + link1.name );

					}

					link0 = link1;

				}

			}

		}

	}

	function getPosition( bone, matrixWorldInv ) {

		return _vector.setFromMatrixPosition( bone.matrixWorld ).applyMatrix4( matrixWorldInv );

	}

	function setPositionOfBoneToAttributeArray( array, index, bone, matrixWorldInv ) {

		const v = getPosition( bone, matrixWorldInv );
		array[ index * 3 + 0 ] = v.x;
		array[ index * 3 + 1 ] = v.y;
		array[ index * 3 + 2 ] = v.z;

	}
	/**
 * Visualize IK bones
 *
 * @param {SkinnedMesh} mesh
 * @param {Array<Object>} iks
 */


	class CCDIKHelper extends THREE.Object3D {

		constructor( mesh, iks = [] ) {

			super();
			this.root = mesh;
			this.iks = iks;
			this.matrix.copy( mesh.matrixWorld );
			this.matrixAutoUpdate = false;
			this.sphereGeometry = new THREE.SphereGeometry( 0.25, 16, 8 );
			this.targetSphereMaterial = new THREE.MeshBasicMaterial( {
				color: new THREE.Color( 0xff8888 ),
				depthTest: false,
				depthWrite: false,
				transparent: true
			} );
			this.effectorSphereMaterial = new THREE.MeshBasicMaterial( {
				color: new THREE.Color( 0x88ff88 ),
				depthTest: false,
				depthWrite: false,
				transparent: true
			} );
			this.linkSphereMaterial = new THREE.MeshBasicMaterial( {
				color: new THREE.Color( 0x8888ff ),
				depthTest: false,
				depthWrite: false,
				transparent: true
			} );
			this.lineMaterial = new THREE.LineBasicMaterial( {
				color: new THREE.Color( 0xff0000 ),
				depthTest: false,
				depthWrite: false,
				transparent: true
			} );

			this._init();

		}
		/**
   * Updates IK bones visualization.
   */


		updateMatrixWorld( force ) {

			const mesh = this.root;

			if ( this.visible ) {

				let offset = 0;
				const iks = this.iks;
				const bones = mesh.skeleton.bones;

				_matrix.copy( mesh.matrixWorld ).invert();

				for ( let i = 0, il = iks.length; i < il; i ++ ) {

					const ik = iks[ i ];
					const targetBone = bones[ ik.target ];
					const effectorBone = bones[ ik.effector ];
					const targetMesh = this.children[ offset ++ ];
					const effectorMesh = this.children[ offset ++ ];
					targetMesh.position.copy( getPosition( targetBone, _matrix ) );
					effectorMesh.position.copy( getPosition( effectorBone, _matrix ) );

					for ( let j = 0, jl = ik.links.length; j < jl; j ++ ) {

						const link = ik.links[ j ];
						const linkBone = bones[ link.index ];
						const linkMesh = this.children[ offset ++ ];
						linkMesh.position.copy( getPosition( linkBone, _matrix ) );

					}

					const line = this.children[ offset ++ ];
					const array = line.geometry.attributes.position.array;
					setPositionOfBoneToAttributeArray( array, 0, targetBone, _matrix );
					setPositionOfBoneToAttributeArray( array, 1, effectorBone, _matrix );

					for ( let j = 0, jl = ik.links.length; j < jl; j ++ ) {

						const link = ik.links[ j ];
						const linkBone = bones[ link.index ];
						setPositionOfBoneToAttributeArray( array, j + 2, linkBone, _matrix );

					}

					line.geometry.attributes.position.needsUpdate = true;

				}

			}

			this.matrix.copy( mesh.matrixWorld );
			super.updateMatrixWorld( force );

		} // private method


		_init() {

			const scope = this;
			const iks = this.iks;

			function createLineGeometry( ik ) {

				const geometry = new THREE.BufferGeometry();
				const vertices = new Float32Array( ( 2 + ik.links.length ) * 3 );
				geometry.setAttribute( 'position', new THREE.BufferAttribute( vertices, 3 ) );
				return geometry;

			}

			function createTargetMesh() {

				return new THREE.Mesh( scope.sphereGeometry, scope.targetSphereMaterial );

			}

			function createEffectorMesh() {

				return new THREE.Mesh( scope.sphereGeometry, scope.effectorSphereMaterial );

			}

			function createLinkMesh() {

				return new THREE.Mesh( scope.sphereGeometry, scope.linkSphereMaterial );

			}

			function createLine( ik ) {

				return new THREE.Line( createLineGeometry( ik ), scope.lineMaterial );

			}

			for ( let i = 0, il = iks.length; i < il; i ++ ) {

				const ik = iks[ i ];
				this.add( createTargetMesh() );
				this.add( createEffectorMesh() );

				for ( let j = 0, jl = ik.links.length; j < jl; j ++ ) {

					this.add( createLinkMesh() );

				}

				this.add( createLine( ik ) );

			}

		}

	}

	THREE.CCDIKSolver = CCDIKSolver;

} )();