import { BufferAttribute, BufferGeometry, Color, Line, LineBasicMaterial, Matrix4, Mesh, MeshBasicMaterial, Object3D, Quaternion, SphereGeometry, Vector3 } from 'three'; const _q = new Quaternion(); const _targetPos = new Vector3(); const _targetVec = new Vector3(); const _effectorPos = new Vector3(); const _effectorVec = new Vector3(); const _linkPos = new Vector3(); const _invLinkQ = new Quaternion(); const _linkScale = new Vector3(); const _axis = new Vector3(); const _vector = new Vector3(); const _matrix = new 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 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} 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 // Refer to http://www20.atpages.jp/katwat/three.js_r58/examples/mytest37/mmd.three.js 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} iks */ class CCDIKHelper extends Object3D { constructor( mesh, iks = [] ) { super(); this.root = mesh; this.iks = iks; this.matrix.copy( mesh.matrixWorld ); this.matrixAutoUpdate = false; this.sphereGeometry = new SphereGeometry( 0.25, 16, 8 ); this.targetSphereMaterial = new MeshBasicMaterial( { color: new Color( 0xff8888 ), depthTest: false, depthWrite: false, transparent: true } ); this.effectorSphereMaterial = new MeshBasicMaterial( { color: new Color( 0x88ff88 ), depthTest: false, depthWrite: false, transparent: true } ); this.linkSphereMaterial = new MeshBasicMaterial( { color: new Color( 0x8888ff ), depthTest: false, depthWrite: false, transparent: true } ); this.lineMaterial = new LineBasicMaterial( { color: new 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 BufferGeometry(); const vertices = new Float32Array( ( 2 + ik.links.length ) * 3 ); geometry.setAttribute( 'position', new BufferAttribute( vertices, 3 ) ); return geometry; } function createTargetMesh() { return new Mesh( scope.sphereGeometry, scope.targetSphereMaterial ); } function createEffectorMesh() { return new Mesh( scope.sphereGeometry, scope.effectorSphereMaterial ); } function createLinkMesh() { return new Mesh( scope.sphereGeometry, scope.linkSphereMaterial ); } function createLine( ik ) { return new 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 ) ); } } } export { CCDIKSolver };