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Use qm.slerpQuaternions( qa, qb, t ) instead."),i.slerpQuaternions(e,t,n)}static slerpFlat(e,t,i,n,s,o,a){let l=i[n+0],c=i[n+1],u=i[n+2],h=i[n+3];const f=s[o+0],m=s[o+1],_=s[o+2],d=s[o+3];if(a===0){e[t+0]=l,e[t+1]=c,e[t+2]=u,e[t+3]=h;return}if(a===1){e[t+0]=f,e[t+1]=m,e[t+2]=_,e[t+3]=d;return}if(h!==d||l!==f||c!==m||u!==_){let p=1-a;const g=l*f+c*m+u*_+h*d,S=g>=0?1:-1,A=1-g*g;if(A>Number.EPSILON){const v=Math.sqrt(A),w=Math.atan2(v,g*S);p=Math.sin(p*w)/v,a=Math.sin(a*w)/v}const b=a*S;if(l=l*p+f*b,c=c*p+m*b,u=u*p+_*b,h=h*p+d*b,p===1-a){const v=1/Math.sqrt(l*l+c*c+u*u+h*h);l*=v,c*=v,u*=v,h*=v}}e[t]=l,e[t+1]=c,e[t+2]=u,e[t+3]=h}static multiplyQuaternionsFlat(e,t,i,n,s,o){const a=i[n],l=i[n+1],c=i[n+2],u=i[n+3],h=s[o],f=s[o+1],m=s[o+2],_=s[o+3];return e[t]=a*_+u*h+l*m-c*f,e[t+1]=l*_+u*f+c*h-a*m,e[t+2]=c*_+u*m+a*f-l*h,e[t+3]=u*_-a*h-l*f-c*m,e}get x(){return this._x}set x(e){this._x=e,this._onChangeCallback()}get y(){return this._y}set y(e){this._y=e,this._onChangeCallback()}get z(){return this._z}set z(e){this._z=e,this._onChangeCallback()}get w(){return this._w}set w(e){this._w=e,this._onChangeCallback()}set(e,t,i,n){return this._x=e,this._y=t,this._z=i,this._w=n,this._onChangeCallback(),this}clone(){return new this.constructor(this._x,this._y,this._z,this._w)}copy(e){return this._x=e.x,this._y=e.y,this._z=e.z,this._w=e.w,this._onChangeCallback(),this}setFromEuler(e,t){if(!(e&&e.isEuler))throw new Error("THREE.Quaternion: .setFromEuler() now expects an Euler rotation rather than a Vector3 and order.");const i=e._x,n=e._y,s=e._z,o=e._order,a=Math.cos,l=Math.sin,c=a(i/2),u=a(n/2),h=a(s/2),f=l(i/2),m=l(n/2),_=l(s/2);switch(o){case"XYZ":this._x=f*u*h+c*m*_,this._y=c*m*h-f*u*_,this._z=c*u*_+f*m*h,this._w=c*u*h-f*m*_;break;case"YXZ":this._x=f*u*h+c*m*_,this._y=c*m*h-f*u*_,this._z=c*u*_-f*m*h,this._w=c*u*h+f*m*_;break;case"ZXY":this._x=f*u*h-c*m*_,this._y=c*m*h+f*u*_,this._z=c*u*_+f*m*h,this._w=c*u*h-f*m*_;break;case"ZYX":this._x=f*u*h-c*m*_,this._y=c*m*h+f*u*_,this._z=c*u*_-f*m*h,this._w=c*u*h+f*m*_;break;case"YZX":this._x=f*u*h+c*m*_,this._y=c*m*h+f*u*_,this._z=c*u*_-f*m*h,this._w=c*u*h-f*m*_;break;case"XZY":this._x=f*u*h-c*m*_,this._y=c*m*h-f*u*_,this._z=c*u*_+f*m*h,this._w=c*u*h+f*m*_;break;default:console.warn("THREE.Quaternion: .setFromEuler() encountered an unknown order: "+o)}return t!==!1&&this._onChangeCallback(),this}setFromAxisAngle(e,t){const i=t/2,n=Math.sin(i);return this._x=e.x*n,this._y=e.y*n,this._z=e.z*n,this._w=Math.cos(i),this._onChangeCallback(),this}setFromRotationMatrix(e){const t=e.elements,i=t[0],n=t[4],s=t[8],o=t[1],a=t[5],l=t[9],c=t[2],u=t[6],h=t[10],f=i+a+h;if(f>0){const m=.5/Math.sqrt(f+1);this._w=.25/m,this._x=(u-l)*m,this._y=(s-c)*m,this._z=(o-n)*m}else if(i>a&&i>h){const m=2*Math.sqrt(1+i-a-h);this._w=(u-l)/m,this._x=.25*m,this._y=(n+o)/m,this._z=(s+c)/m}else if(a>h){const m=2*Math.sqrt(1+a-i-h);this._w=(s-c)/m,this._x=(n+o)/m,this._y=.25*m,this._z=(l+u)/m}else{const m=2*Math.sqrt(1+h-i-a);this._w=(o-n)/m,this._x=(s+c)/m,this._y=(l+u)/m,this._z=.25*m}return this._onChangeCallback(),this}setFromUnitVectors(e,t){let i=e.dot(t)+1;return iMath.abs(e.z)?(this._x=-e.y,this._y=e.x,this._z=0,this._w=i):(this._x=0,this._y=-e.z,this._z=e.y,this._w=i)):(this._x=e.y*t.z-e.z*t.y,this._y=e.z*t.x-e.x*t.z,this._z=e.x*t.y-e.y*t.x,this._w=i),this.normalize()}angleTo(e){return 2*Math.acos(Math.abs(gt(this.dot(e),-1,1)))}rotateTowards(e,t){const i=this.angleTo(e);if(i===0)return this;const n=Math.min(1,t/i);return this.slerp(e,n),this}identity(){return this.set(0,0,0,1)}invert(){return this.conjugate()}conjugate(){return this._x*=-1,this._y*=-1,this._z*=-1,this._onChangeCallback(),this}dot(e){return this._x*e._x+this._y*e._y+this._z*e._z+this._w*e._w}lengthSq(){return this._x*this._x+this._y*this._y+this._z*this._z+this._w*this._w}length(){return Math.sqrt(this._x*this._x+this._y*this._y+this._z*this._z+this._w*this._w)}normalize(){let e=this.length();return e===0?(this._x=0,this._y=0,this._z=0,this._w=1):(e=1/e,this._x=this._x*e,this._y=this._y*e,this._z=this._z*e,this._w=this._w*e),this._onChangeCallback(),this}multiply(e,t){return t!==void 0?(console.warn("THREE.Quaternion: .multiply() now only accepts one argument. Use .multiplyQuaternions( a, b ) instead."),this.multiplyQuaternions(e,t)):this.multiplyQuaternions(this,e)}premultiply(e){return this.multiplyQuaternions(e,this)}multiplyQuaternions(e,t){const i=e._x,n=e._y,s=e._z,o=e._w,a=t._x,l=t._y,c=t._z,u=t._w;return this._x=i*u+o*a+n*c-s*l,this._y=n*u+o*l+s*a-i*c,this._z=s*u+o*c+i*l-n*a,this._w=o*u-i*a-n*l-s*c,this._onChangeCallback(),this}slerp(e,t){if(t===0)return this;if(t===1)return this.copy(e);const i=this._x,n=this._y,s=this._z,o=this._w;let a=o*e._w+i*e._x+n*e._y+s*e._z;if(a<0?(this._w=-e._w,this._x=-e._x,this._y=-e._y,this._z=-e._z,a=-a):this.copy(e),a>=1)return this._w=o,this._x=i,this._y=n,this._z=s,this;const l=1-a*a;if(l<=Number.EPSILON){const m=1-t;return this._w=m*o+t*this._w,this._x=m*i+t*this._x,this._y=m*n+t*this._y,this._z=m*s+t*this._z,this.normalize(),this._onChangeCallback(),this}const c=Math.sqrt(l),u=Math.atan2(c,a),h=Math.sin((1-t)*u)/c,f=Math.sin(t*u)/c;return this._w=o*h+this._w*f,this._x=i*h+this._x*f,this._y=n*h+this._y*f,this._z=s*h+this._z*f,this._onChangeCallback(),this}slerpQuaternions(e,t,i){return this.copy(e).slerp(t,i)}random(){const e=Math.random(),t=Math.sqrt(1-e),i=Math.sqrt(e),n=2*Math.PI*Math.random(),s=2*Math.PI*Math.random();return this.set(t*Math.cos(n),i*Math.sin(s),i*Math.cos(s),t*Math.sin(n))}equals(e){return e._x===this._x&&e._y===this._y&&e._z===this._z&&e._w===this._w}fromArray(e,t=0){return this._x=e[t],this._y=e[t+1],this._z=e[t+2],this._w=e[t+3],this._onChangeCallback(),this}toArray(e=[],t=0){return e[t]=this._x,e[t+1]=this._y,e[t+2]=this._z,e[t+3]=this._w,e}fromBufferAttribute(e,t){return this._x=e.getX(t),this._y=e.getY(t),this._z=e.getZ(t),this._w=e.getW(t),this}_onChange(e){return this._onChangeCallback=e,this}_onChangeCallback(){}*[Symbol.iterator](){yield this._x,yield this._y,yield this._z,yield this._w}}class L{constructor(e=0,t=0,i=0){this.isVector3=!0,this.x=e,this.y=t,this.z=i}set(e,t,i){return i===void 0&&(i=this.z),this.x=e,this.y=t,this.z=i,this}setScalar(e){return this.x=e,this.y=e,this.z=e,this}setX(e){return this.x=e,this}setY(e){return this.y=e,this}setZ(e){return this.z=e,this}setComponent(e,t){switch(e){case 0:this.x=t;break;case 1:this.y=t;break;case 2:this.z=t;break;default:throw new Error("index is out of range: "+e)}return this}getComponent(e){switch(e){case 0:return this.x;case 1:return this.y;case 2:return this.z;default:throw new Error("index is out of range: "+e)}}clone(){return new this.constructor(this.x,this.y,this.z)}copy(e){return this.x=e.x,this.y=e.y,this.z=e.z,this}add(e,t){return t!==void 0?(console.warn("THREE.Vector3: .add() now only accepts one argument. Use .addVectors( a, b ) instead."),this.addVectors(e,t)):(this.x+=e.x,this.y+=e.y,this.z+=e.z,this)}addScalar(e){return this.x+=e,this.y+=e,this.z+=e,this}addVectors(e,t){return this.x=e.x+t.x,this.y=e.y+t.y,this.z=e.z+t.z,this}addScaledVector(e,t){return this.x+=e.x*t,this.y+=e.y*t,this.z+=e.z*t,this}sub(e,t){return t!==void 0?(console.warn("THREE.Vector3: .sub() now only accepts one argument. Use .subVectors( a, b ) instead."),this.subVectors(e,t)):(this.x-=e.x,this.y-=e.y,this.z-=e.z,this)}subScalar(e){return this.x-=e,this.y-=e,this.z-=e,this}subVectors(e,t){return this.x=e.x-t.x,this.y=e.y-t.y,this.z=e.z-t.z,this}multiply(e,t){return t!==void 0?(console.warn("THREE.Vector3: .multiply() now only accepts one argument. Use .multiplyVectors( a, b ) instead."),this.multiplyVectors(e,t)):(this.x*=e.x,this.y*=e.y,this.z*=e.z,this)}multiplyScalar(e){return this.x*=e,this.y*=e,this.z*=e,this}multiplyVectors(e,t){return this.x=e.x*t.x,this.y=e.y*t.y,this.z=e.z*t.z,this}applyEuler(e){return e&&e.isEuler||console.error("THREE.Vector3: .applyEuler() now expects an Euler rotation rather than a Vector3 and order."),this.applyQuaternion(Hl.setFromEuler(e))}applyAxisAngle(e,t){return this.applyQuaternion(Hl.setFromAxisAngle(e,t))}applyMatrix3(e){const t=this.x,i=this.y,n=this.z,s=e.elements;return this.x=s[0]*t+s[3]*i+s[6]*n,this.y=s[1]*t+s[4]*i+s[7]*n,this.z=s[2]*t+s[5]*i+s[8]*n,this}applyNormalMatrix(e){return this.applyMatrix3(e).normalize()}applyMatrix4(e){const t=this.x,i=this.y,n=this.z,s=e.elements,o=1/(s[3]*t+s[7]*i+s[11]*n+s[15]);return this.x=(s[0]*t+s[4]*i+s[8]*n+s[12])*o,this.y=(s[1]*t+s[5]*i+s[9]*n+s[13])*o,this.z=(s[2]*t+s[6]*i+s[10]*n+s[14])*o,this}applyQuaternion(e){const t=this.x,i=this.y,n=this.z,s=e.x,o=e.y,a=e.z,l=e.w,c=l*t+o*n-a*i,u=l*i+a*t-s*n,h=l*n+s*i-o*t,f=-s*t-o*i-a*n;return this.x=c*l+f*-s+u*-a-h*-o,this.y=u*l+f*-o+h*-s-c*-a,this.z=h*l+f*-a+c*-o-u*-s,this}project(e){return this.applyMatrix4(e.matrixWorldInverse).applyMatrix4(e.projectionMatrix)}unproject(e){return this.applyMatrix4(e.projectionMatrixInverse).applyMatrix4(e.matrixWorld)}transformDirection(e){const t=this.x,i=this.y,n=this.z,s=e.elements;return this.x=s[0]*t+s[4]*i+s[8]*n,this.y=s[1]*t+s[5]*i+s[9]*n,this.z=s[2]*t+s[6]*i+s[10]*n,this.normalize()}divide(e){return this.x/=e.x,this.y/=e.y,this.z/=e.z,this}divideScalar(e){return this.multiplyScalar(1/e)}min(e){return this.x=Math.min(this.x,e.x),this.y=Math.min(this.y,e.y),this.z=Math.min(this.z,e.z),this}max(e){return this.x=Math.max(this.x,e.x),this.y=Math.max(this.y,e.y),this.z=Math.max(this.z,e.z),this}clamp(e,t){return this.x=Math.max(e.x,Math.min(t.x,this.x)),this.y=Math.max(e.y,Math.min(t.y,this.y)),this.z=Math.max(e.z,Math.min(t.z,this.z)),this}clampScalar(e,t){return this.x=Math.max(e,Math.min(t,this.x)),this.y=Math.max(e,Math.min(t,this.y)),this.z=Math.max(e,Math.min(t,this.z)),this}clampLength(e,t){const i=this.length();return this.divideScalar(i||1).multiplyScalar(Math.max(e,Math.min(t,i)))}floor(){return this.x=Math.floor(this.x),this.y=Math.floor(this.y),this.z=Math.floor(this.z),this}ceil(){return this.x=Math.ceil(this.x),this.y=Math.ceil(this.y),this.z=Math.ceil(this.z),this}round(){return this.x=Math.round(this.x),this.y=Math.round(this.y),this.z=Math.round(this.z),this}roundToZero(){return this.x=this.x<0?Math.ceil(this.x):Math.floor(this.x),this.y=this.y<0?Math.ceil(this.y):Math.floor(this.y),this.z=this.z<0?Math.ceil(this.z):Math.floor(this.z),this}negate(){return this.x=-this.x,this.y=-this.y,this.z=-this.z,this}dot(e){return this.x*e.x+this.y*e.y+this.z*e.z}lengthSq(){return this.x*this.x+this.y*this.y+this.z*this.z}length(){return Math.sqrt(this.x*this.x+this.y*this.y+this.z*this.z)}manhattanLength(){return Math.abs(this.x)+Math.abs(this.y)+Math.abs(this.z)}normalize(){return this.divideScalar(this.length()||1)}setLength(e){return this.normalize().multiplyScalar(e)}lerp(e,t){return this.x+=(e.x-this.x)*t,this.y+=(e.y-this.y)*t,this.z+=(e.z-this.z)*t,this}lerpVectors(e,t,i){return this.x=e.x+(t.x-e.x)*i,this.y=e.y+(t.y-e.y)*i,this.z=e.z+(t.z-e.z)*i,this}cross(e,t){return t!==void 0?(console.warn("THREE.Vector3: .cross() now only accepts one argument. Use .crossVectors( a, b ) instead."),this.crossVectors(e,t)):this.crossVectors(this,e)}crossVectors(e,t){const i=e.x,n=e.y,s=e.z,o=t.x,a=t.y,l=t.z;return this.x=n*l-s*a,this.y=s*o-i*l,this.z=i*a-n*o,this}projectOnVector(e){const t=e.lengthSq();if(t===0)return this.set(0,0,0);const i=e.dot(this)/t;return this.copy(e).multiplyScalar(i)}projectOnPlane(e){return go.copy(this).projectOnVector(e),this.sub(go)}reflect(e){return this.sub(go.copy(e).multiplyScalar(2*this.dot(e)))}angleTo(e){const t=Math.sqrt(this.lengthSq()*e.lengthSq());if(t===0)return Math.PI/2;const i=this.dot(e)/t;return Math.acos(gt(i,-1,1))}distanceTo(e){return Math.sqrt(this.distanceToSquared(e))}distanceToSquared(e){const t=this.x-e.x,i=this.y-e.y,n=this.z-e.z;return t*t+i*i+n*n}manhattanDistanceTo(e){return Math.abs(this.x-e.x)+Math.abs(this.y-e.y)+Math.abs(this.z-e.z)}setFromSpherical(e){return this.setFromSphericalCoords(e.radius,e.phi,e.theta)}setFromSphericalCoords(e,t,i){const n=Math.sin(t)*e;return this.x=n*Math.sin(i),this.y=Math.cos(t)*e,this.z=n*Math.cos(i),this}setFromCylindrical(e){return this.setFromCylindricalCoords(e.radius,e.theta,e.y)}setFromCylindricalCoords(e,t,i){return this.x=e*Math.sin(t),this.y=i,this.z=e*Math.cos(t),this}setFromMatrixPosition(e){const t=e.elements;return this.x=t[12],this.y=t[13],this.z=t[14],this}setFromMatrixScale(e){const t=this.setFromMatrixColumn(e,0).length(),i=this.setFromMatrixColumn(e,1).length(),n=this.setFromMatrixColumn(e,2).length();return this.x=t,this.y=i,this.z=n,this}setFromMatrixColumn(e,t){return this.fromArray(e.elements,t*4)}setFromMatrix3Column(e,t){return this.fromArray(e.elements,t*3)}setFromEuler(e){return this.x=e._x,this.y=e._y,this.z=e._z,this}equals(e){return e.x===this.x&&e.y===this.y&&e.z===this.z}fromArray(e,t=0){return this.x=e[t],this.y=e[t+1],this.z=e[t+2],this}toArray(e=[],t=0){return e[t]=this.x,e[t+1]=this.y,e[t+2]=this.z,e}fromBufferAttribute(e,t,i){return i!==void 0&&console.warn("THREE.Vector3: offset has been removed from .fromBufferAttribute()."),this.x=e.getX(t),this.y=e.getY(t),this.z=e.getZ(t),this}random(){return this.x=Math.random(),this.y=Math.random(),this.z=Math.random(),this}randomDirection(){const e=(Math.random()-.5)*2,t=Math.random()*Math.PI*2,i=Math.sqrt(1-e**2);return this.x=i*Math.cos(t),this.y=i*Math.sin(t),this.z=e,this}*[Symbol.iterator](){yield this.x,yield this.y,yield this.z}}const go=new L,Hl=new Wr;class Xr{constructor(e=new L(1/0,1/0,1/0),t=new L(-1/0,-1/0,-1/0)){this.isBox3=!0,this.min=e,this.max=t}set(e,t){return this.min.copy(e),this.max.copy(t),this}setFromArray(e){let t=1/0,i=1/0,n=1/0,s=-1/0,o=-1/0,a=-1/0;for(let l=0,c=e.length;ls&&(s=u),h>o&&(o=h),f>a&&(a=f)}return this.min.set(t,i,n),this.max.set(s,o,a),this}setFromBufferAttribute(e){let t=1/0,i=1/0,n=1/0,s=-1/0,o=-1/0,a=-1/0;for(let l=0,c=e.count;ls&&(s=u),h>o&&(o=h),f>a&&(a=f)}return this.min.set(t,i,n),this.max.set(s,o,a),this}setFromPoints(e){this.makeEmpty();for(let t=0,i=e.length;tthis.max.x||e.ythis.max.y||e.zthis.max.z)}containsBox(e){return this.min.x<=e.min.x&&e.max.x<=this.max.x&&this.min.y<=e.min.y&&e.max.y<=this.max.y&&this.min.z<=e.min.z&&e.max.z<=this.max.z}getParameter(e,t){return t.set((e.x-this.min.x)/(this.max.x-this.min.x),(e.y-this.min.y)/(this.max.y-this.min.y),(e.z-this.min.z)/(this.max.z-this.min.z))}intersectsBox(e){return!(e.max.xthis.max.x||e.max.ythis.max.y||e.max.zthis.max.z)}intersectsSphere(e){return this.clampPoint(e.center,tn),tn.distanceToSquared(e.center)<=e.radius*e.radius}intersectsPlane(e){let t,i;return e.normal.x>0?(t=e.normal.x*this.min.x,i=e.normal.x*this.max.x):(t=e.normal.x*this.max.x,i=e.normal.x*this.min.x),e.normal.y>0?(t+=e.normal.y*this.min.y,i+=e.normal.y*this.max.y):(t+=e.normal.y*this.max.y,i+=e.normal.y*this.min.y),e.normal.z>0?(t+=e.normal.z*this.min.z,i+=e.normal.z*this.max.z):(t+=e.normal.z*this.max.z,i+=e.normal.z*this.min.z),t<=-e.constant&&i>=-e.constant}intersectsTriangle(e){if(this.isEmpty())return!1;this.getCenter(gr),es.subVectors(this.max,gr),Rn.subVectors(e.a,gr),Cn.subVectors(e.b,gr),Pn.subVectors(e.c,gr),Li.subVectors(Cn,Rn),Di.subVectors(Pn,Cn),nn.subVectors(Rn,Pn);let t=[0,-Li.z,Li.y,0,-Di.z,Di.y,0,-nn.z,nn.y,Li.z,0,-Li.x,Di.z,0,-Di.x,nn.z,0,-nn.x,-Li.y,Li.x,0,-Di.y,Di.x,0,-nn.y,nn.x,0];return!vo(t,Rn,Cn,Pn,es)||(t=[1,0,0,0,1,0,0,0,1],!vo(t,Rn,Cn,Pn,es))?!1:(ts.crossVectors(Li,Di),t=[ts.x,ts.y,ts.z],vo(t,Rn,Cn,Pn,es))}clampPoint(e,t){return t.copy(e).clamp(this.min,this.max)}distanceToPoint(e){return tn.copy(e).clamp(this.min,this.max).sub(e).length()}getBoundingSphere(e){return this.getCenter(e.center),e.radius=this.getSize(tn).length()*.5,e}intersect(e){return this.min.max(e.min),this.max.min(e.max),this.isEmpty()&&this.makeEmpty(),this}union(e){return this.min.min(e.min),this.max.max(e.max),this}applyMatrix4(e){return this.isEmpty()?this:(pi[0].set(this.min.x,this.min.y,this.min.z).applyMatrix4(e),pi[1].set(this.min.x,this.min.y,this.max.z).applyMatrix4(e),pi[2].set(this.min.x,this.max.y,this.min.z).applyMatrix4(e),pi[3].set(this.min.x,this.max.y,this.max.z).applyMatrix4(e),pi[4].set(this.max.x,this.min.y,this.min.z).applyMatrix4(e),pi[5].set(this.max.x,this.min.y,this.max.z).applyMatrix4(e),pi[6].set(this.max.x,this.max.y,this.min.z).applyMatrix4(e),pi[7].set(this.max.x,this.max.y,this.max.z).applyMatrix4(e),this.setFromPoints(pi),this)}translate(e){return this.min.add(e),this.max.add(e),this}equals(e){return e.min.equals(this.min)&&e.max.equals(this.max)}}const pi=[new L,new L,new L,new L,new L,new L,new L,new L],tn=new L,xo=new Xr,Rn=new L,Cn=new L,Pn=new L,Li=new L,Di=new L,nn=new L,gr=new L,es=new L,ts=new L,rn=new L;function vo(r,e,t,i,n){for(let s=0,o=r.length-3;s<=o;s+=3){rn.fromArray(r,s);const a=n.x*Math.abs(rn.x)+n.y*Math.abs(rn.y)+n.z*Math.abs(rn.z),l=e.dot(rn),c=t.dot(rn),u=i.dot(rn);if(Math.max(-Math.max(l,c,u),Math.min(l,c,u))>a)return!1}return!0}const wd=new Xr,Vl=new L,is=new L,yo=new L;class Aa{constructor(e=new L,t=-1){this.center=e,this.radius=t}set(e,t){return this.center.copy(e),this.radius=t,this}setFromPoints(e,t){const i=this.center;t!==void 0?i.copy(t):wd.setFromPoints(e).getCenter(i);let n=0;for(let s=0,o=e.length;sthis.radius*this.radius&&(t.sub(this.center).normalize(),t.multiplyScalar(this.radius).add(this.center)),t}getBoundingBox(e){return this.isEmpty()?(e.makeEmpty(),e):(e.set(this.center,this.center),e.expandByScalar(this.radius),e)}applyMatrix4(e){return this.center.applyMatrix4(e),this.radius=this.radius*e.getMaxScaleOnAxis(),this}translate(e){return this.center.add(e),this}expandByPoint(e){yo.subVectors(e,this.center);const t=yo.lengthSq();if(t>this.radius*this.radius){const i=Math.sqrt(t),n=(i-this.radius)*.5;this.center.add(yo.multiplyScalar(n/i)),this.radius+=n}return this}union(e){return this.center.equals(e.center)===!0?is.set(0,0,1).multiplyScalar(e.radius):is.subVectors(e.center,this.center).normalize().multiplyScalar(e.radius),this.expandByPoint(Vl.copy(e.center).add(is)),this.expandByPoint(Vl.copy(e.center).sub(is)),this}equals(e){return e.center.equals(this.center)&&e.radius===this.radius}clone(){return new this.constructor().copy(this)}}class li{constructor(){this.isMatrix3=!0,this.elements=[1,0,0,0,1,0,0,0,1],arguments.length>0&&console.error("THREE.Matrix3: the constructor no longer reads arguments. use .set() instead.")}set(e,t,i,n,s,o,a,l,c){const u=this.elements;return u[0]=e,u[1]=n,u[2]=a,u[3]=t,u[4]=s,u[5]=l,u[6]=i,u[7]=o,u[8]=c,this}identity(){return this.set(1,0,0,0,1,0,0,0,1),this}copy(e){const t=this.elements,i=e.elements;return t[0]=i[0],t[1]=i[1],t[2]=i[2],t[3]=i[3],t[4]=i[4],t[5]=i[5],t[6]=i[6],t[7]=i[7],t[8]=i[8],this}extractBasis(e,t,i){return e.setFromMatrix3Column(this,0),t.setFromMatrix3Column(this,1),i.setFromMatrix3Column(this,2),this}setFromMatrix4(e){const t=e.elements;return this.set(t[0],t[4],t[8],t[1],t[5],t[9],t[2],t[6],t[10]),this}multiply(e){return this.multiplyMatrices(this,e)}premultiply(e){return this.multiplyMatrices(e,this)}multiplyMatrices(e,t){const i=e.elements,n=t.elements,s=this.elements,o=i[0],a=i[3],l=i[6],c=i[1],u=i[4],h=i[7],f=i[2],m=i[5],_=i[8],d=n[0],p=n[3],g=n[6],S=n[1],A=n[4],b=n[7],v=n[2],w=n[5],R=n[8];return s[0]=o*d+a*S+l*v,s[3]=o*p+a*A+l*w,s[6]=o*g+a*b+l*R,s[1]=c*d+u*S+h*v,s[4]=c*p+u*A+h*w,s[7]=c*g+u*b+h*R,s[2]=f*d+m*S+_*v,s[5]=f*p+m*A+_*w,s[8]=f*g+m*b+_*R,this}multiplyScalar(e){const t=this.elements;return t[0]*=e,t[3]*=e,t[6]*=e,t[1]*=e,t[4]*=e,t[7]*=e,t[2]*=e,t[5]*=e,t[8]*=e,this}determinant(){const e=this.elements,t=e[0],i=e[1],n=e[2],s=e[3],o=e[4],a=e[5],l=e[6],c=e[7],u=e[8];return t*o*u-t*a*c-i*s*u+i*a*l+n*s*c-n*o*l}invert(){const e=this.elements,t=e[0],i=e[1],n=e[2],s=e[3],o=e[4],a=e[5],l=e[6],c=e[7],u=e[8],h=u*o-a*c,f=a*l-u*s,m=c*s-o*l,_=t*h+i*f+n*m;if(_===0)return this.set(0,0,0,0,0,0,0,0,0);const d=1/_;return e[0]=h*d,e[1]=(n*c-u*i)*d,e[2]=(a*i-n*o)*d,e[3]=f*d,e[4]=(u*t-n*l)*d,e[5]=(n*s-a*t)*d,e[6]=m*d,e[7]=(i*l-c*t)*d,e[8]=(o*t-i*s)*d,this}transpose(){let e;const t=this.elements;return e=t[1],t[1]=t[3],t[3]=e,e=t[2],t[2]=t[6],t[6]=e,e=t[5],t[5]=t[7],t[7]=e,this}getNormalMatrix(e){return this.setFromMatrix4(e).invert().transpose()}transposeIntoArray(e){const t=this.elements;return e[0]=t[0],e[1]=t[3],e[2]=t[6],e[3]=t[1],e[4]=t[4],e[5]=t[7],e[6]=t[2],e[7]=t[5],e[8]=t[8],this}setUvTransform(e,t,i,n,s,o,a){const l=Math.cos(s),c=Math.sin(s);return this.set(i*l,i*c,-i*(l*o+c*a)+o+e,-n*c,n*l,-n*(-c*o+l*a)+a+t,0,0,1),this}scale(e,t){const i=this.elements;return i[0]*=e,i[3]*=e,i[6]*=e,i[1]*=t,i[4]*=t,i[7]*=t,this}rotate(e){const t=Math.cos(e),i=Math.sin(e),n=this.elements,s=n[0],o=n[3],a=n[6],l=n[1],c=n[4],u=n[7];return n[0]=t*s+i*l,n[3]=t*o+i*c,n[6]=t*a+i*u,n[1]=-i*s+t*l,n[4]=-i*o+t*c,n[7]=-i*a+t*u,this}translate(e,t){const i=this.elements;return i[0]+=e*i[2],i[3]+=e*i[5],i[6]+=e*i[8],i[1]+=t*i[2],i[4]+=t*i[5],i[7]+=t*i[8],this}equals(e){const t=this.elements,i=e.elements;for(let n=0;n<9;n++)if(t[n]!==i[n])return!1;return!0}fromArray(e,t=0){for(let i=0;i<9;i++)this.elements[i]=e[i+t];return this}toArray(e=[],t=0){const i=this.elements;return e[t]=i[0],e[t+1]=i[1],e[t+2]=i[2],e[t+3]=i[3],e[t+4]=i[4],e[t+5]=i[5],e[t+6]=i[6],e[t+7]=i[7],e[t+8]=i[8],e}clone(){return new this.constructor().fromArray(this.elements)}}const So=new L,Td=new L,Ad=new li;class an{constructor(e=new L(1,0,0),t=0){this.isPlane=!0,this.normal=e,this.constant=t}set(e,t){return this.normal.copy(e),this.constant=t,this}setComponents(e,t,i,n){return this.normal.set(e,t,i),this.constant=n,this}setFromNormalAndCoplanarPoint(e,t){return this.normal.copy(e),this.constant=-t.dot(this.normal),this}setFromCoplanarPoints(e,t,i){const n=So.subVectors(i,t).cross(Td.subVectors(e,t)).normalize();return this.setFromNormalAndCoplanarPoint(n,e),this}copy(e){return this.normal.copy(e.normal),this.constant=e.constant,this}normalize(){const e=1/this.normal.length();return this.normal.multiplyScalar(e),this.constant*=e,this}negate(){return this.constant*=-1,this.normal.negate(),this}distanceToPoint(e){return this.normal.dot(e)+this.constant}distanceToSphere(e){return this.distanceToPoint(e.center)-e.radius}projectPoint(e,t){return t.copy(this.normal).multiplyScalar(-this.distanceToPoint(e)).add(e)}intersectLine(e,t){const i=e.delta(So),n=this.normal.dot(i);if(n===0)return this.distanceToPoint(e.start)===0?t.copy(e.start):null;const s=-(e.start.dot(this.normal)+this.constant)/n;return s<0||s>1?null:t.copy(i).multiplyScalar(s).add(e.start)}intersectsLine(e){const t=this.distanceToPoint(e.start),i=this.distanceToPoint(e.end);return t<0&&i>0||i<0&&t>0}intersectsBox(e){return e.intersectsPlane(this)}intersectsSphere(e){return e.intersectsPlane(this)}coplanarPoint(e){return e.copy(this.normal).multiplyScalar(-this.constant)}applyMatrix4(e,t){const i=t||Ad.getNormalMatrix(e),n=this.coplanarPoint(So).applyMatrix4(e),s=this.normal.applyMatrix3(i).normalize();return this.constant=-n.dot(s),this}translate(e){return this.constant-=e.dot(this.normal),this}equals(e){return e.normal.equals(this.normal)&&e.constant===this.constant}clone(){return new this.constructor().copy(this)}}const Ln=new Aa,ns=new L;class Iu{constructor(e=new an,t=new an,i=new an,n=new an,s=new an,o=new an){this.planes=[e,t,i,n,s,o]}set(e,t,i,n,s,o){const a=this.planes;return a[0].copy(e),a[1].copy(t),a[2].copy(i),a[3].copy(n),a[4].copy(s),a[5].copy(o),this}copy(e){const t=this.planes;for(let i=0;i<6;i++)t[i].copy(e.planes[i]);return this}setFromProjectionMatrix(e){const t=this.planes,i=e.elements,n=i[0],s=i[1],o=i[2],a=i[3],l=i[4],c=i[5],u=i[6],h=i[7],f=i[8],m=i[9],_=i[10],d=i[11],p=i[12],g=i[13],S=i[14],A=i[15];return t[0].setComponents(a-n,h-l,d-f,A-p).normalize(),t[1].setComponents(a+n,h+l,d+f,A+p).normalize(),t[2].setComponents(a+s,h+c,d+m,A+g).normalize(),t[3].setComponents(a-s,h-c,d-m,A-g).normalize(),t[4].setComponents(a-o,h-u,d-_,A-S).normalize(),t[5].setComponents(a+o,h+u,d+_,A+S).normalize(),this}intersectsObject(e){const t=e.geometry;return t.boundingSphere===null&&t.computeBoundingSphere(),Ln.copy(t.boundingSphere).applyMatrix4(e.matrixWorld),this.intersectsSphere(Ln)}intersectsSprite(e){return Ln.center.set(0,0,0),Ln.radius=.7071067811865476,Ln.applyMatrix4(e.matrixWorld),this.intersectsSphere(Ln)}intersectsSphere(e){const t=this.planes,i=e.center,n=-e.radius;for(let s=0;s<6;s++)if(t[s].distanceToPoint(i)0?e.max.x:e.min.x,ns.y=n.normal.y>0?e.max.y:e.min.y,ns.z=n.normal.z>0?e.max.z:e.min.z,n.distanceToPoint(ns)<0)return!1}return!0}containsPoint(e){const t=this.planes;for(let i=0;i<6;i++)if(t[i].distanceToPoint(e)<0)return!1;return!0}clone(){return new this.constructor().copy(this)}}class ct{constructor(){this.isMatrix4=!0,this.elements=[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],arguments.length>0&&console.error("THREE.Matrix4: the constructor no longer reads arguments. use .set() instead.")}set(e,t,i,n,s,o,a,l,c,u,h,f,m,_,d,p){const g=this.elements;return g[0]=e,g[4]=t,g[8]=i,g[12]=n,g[1]=s,g[5]=o,g[9]=a,g[13]=l,g[2]=c,g[6]=u,g[10]=h,g[14]=f,g[3]=m,g[7]=_,g[11]=d,g[15]=p,this}identity(){return this.set(1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1),this}clone(){return new ct().fromArray(this.elements)}copy(e){const t=this.elements,i=e.elements;return t[0]=i[0],t[1]=i[1],t[2]=i[2],t[3]=i[3],t[4]=i[4],t[5]=i[5],t[6]=i[6],t[7]=i[7],t[8]=i[8],t[9]=i[9],t[10]=i[10],t[11]=i[11],t[12]=i[12],t[13]=i[13],t[14]=i[14],t[15]=i[15],this}copyPosition(e){const t=this.elements,i=e.elements;return t[12]=i[12],t[13]=i[13],t[14]=i[14],this}setFromMatrix3(e){const t=e.elements;return this.set(t[0],t[3],t[6],0,t[1],t[4],t[7],0,t[2],t[5],t[8],0,0,0,0,1),this}extractBasis(e,t,i){return e.setFromMatrixColumn(this,0),t.setFromMatrixColumn(this,1),i.setFromMatrixColumn(this,2),this}makeBasis(e,t,i){return this.set(e.x,t.x,i.x,0,e.y,t.y,i.y,0,e.z,t.z,i.z,0,0,0,0,1),this}extractRotation(e){const t=this.elements,i=e.elements,n=1/Dn.setFromMatrixColumn(e,0).length(),s=1/Dn.setFromMatrixColumn(e,1).length(),o=1/Dn.setFromMatrixColumn(e,2).length();return t[0]=i[0]*n,t[1]=i[1]*n,t[2]=i[2]*n,t[3]=0,t[4]=i[4]*s,t[5]=i[5]*s,t[6]=i[6]*s,t[7]=0,t[8]=i[8]*o,t[9]=i[9]*o,t[10]=i[10]*o,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,this}makeRotationFromEuler(e){e&&e.isEuler||console.error("THREE.Matrix4: .makeRotationFromEuler() now expects a Euler rotation rather than a Vector3 and order.");const t=this.elements,i=e.x,n=e.y,s=e.z,o=Math.cos(i),a=Math.sin(i),l=Math.cos(n),c=Math.sin(n),u=Math.cos(s),h=Math.sin(s);if(e.order==="XYZ"){const f=o*u,m=o*h,_=a*u,d=a*h;t[0]=l*u,t[4]=-l*h,t[8]=c,t[1]=m+_*c,t[5]=f-d*c,t[9]=-a*l,t[2]=d-f*c,t[6]=_+m*c,t[10]=o*l}else if(e.order==="YXZ"){const f=l*u,m=l*h,_=c*u,d=c*h;t[0]=f+d*a,t[4]=_*a-m,t[8]=o*c,t[1]=o*h,t[5]=o*u,t[9]=-a,t[2]=m*a-_,t[6]=d+f*a,t[10]=o*l}else if(e.order==="ZXY"){const f=l*u,m=l*h,_=c*u,d=c*h;t[0]=f-d*a,t[4]=-o*h,t[8]=_+m*a,t[1]=m+_*a,t[5]=o*u,t[9]=d-f*a,t[2]=-o*c,t[6]=a,t[10]=o*l}else if(e.order==="ZYX"){const f=o*u,m=o*h,_=a*u,d=a*h;t[0]=l*u,t[4]=_*c-m,t[8]=f*c+d,t[1]=l*h,t[5]=d*c+f,t[9]=m*c-_,t[2]=-c,t[6]=a*l,t[10]=o*l}else if(e.order==="YZX"){const f=o*l,m=o*c,_=a*l,d=a*c;t[0]=l*u,t[4]=d-f*h,t[8]=_*h+m,t[1]=h,t[5]=o*u,t[9]=-a*u,t[2]=-c*u,t[6]=m*h+_,t[10]=f-d*h}else if(e.order==="XZY"){const f=o*l,m=o*c,_=a*l,d=a*c;t[0]=l*u,t[4]=-h,t[8]=c*u,t[1]=f*h+d,t[5]=o*u,t[9]=m*h-_,t[2]=_*h-m,t[6]=a*u,t[10]=d*h+f}return t[3]=0,t[7]=0,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,this}makeRotationFromQuaternion(e){return this.compose(Rd,e,Cd)}lookAt(e,t,i){const n=this.elements;return Ct.subVectors(e,t),Ct.lengthSq()===0&&(Ct.z=1),Ct.normalize(),Fi.crossVectors(i,Ct),Fi.lengthSq()===0&&(Math.abs(i.z)===1?Ct.x+=1e-4:Ct.z+=1e-4,Ct.normalize(),Fi.crossVectors(i,Ct)),Fi.normalize(),rs.crossVectors(Ct,Fi),n[0]=Fi.x,n[4]=rs.x,n[8]=Ct.x,n[1]=Fi.y,n[5]=rs.y,n[9]=Ct.y,n[2]=Fi.z,n[6]=rs.z,n[10]=Ct.z,this}multiply(e,t){return t!==void 0?(console.warn("THREE.Matrix4: .multiply() now only accepts one argument. Use .multiplyMatrices( a, b ) instead."),this.multiplyMatrices(e,t)):this.multiplyMatrices(this,e)}premultiply(e){return this.multiplyMatrices(e,this)}multiplyMatrices(e,t){const i=e.elements,n=t.elements,s=this.elements,o=i[0],a=i[4],l=i[8],c=i[12],u=i[1],h=i[5],f=i[9],m=i[13],_=i[2],d=i[6],p=i[10],g=i[14],S=i[3],A=i[7],b=i[11],v=i[15],w=n[0],R=n[4],x=n[8],E=n[12],I=n[1],F=n[5],j=n[9],Z=n[13],P=n[2],H=n[6],U=n[10],V=n[14],X=n[3],B=n[7],q=n[11],Q=n[15];return s[0]=o*w+a*I+l*P+c*X,s[4]=o*R+a*F+l*H+c*B,s[8]=o*x+a*j+l*U+c*q,s[12]=o*E+a*Z+l*V+c*Q,s[1]=u*w+h*I+f*P+m*X,s[5]=u*R+h*F+f*H+m*B,s[9]=u*x+h*j+f*U+m*q,s[13]=u*E+h*Z+f*V+m*Q,s[2]=_*w+d*I+p*P+g*X,s[6]=_*R+d*F+p*H+g*B,s[10]=_*x+d*j+p*U+g*q,s[14]=_*E+d*Z+p*V+g*Q,s[3]=S*w+A*I+b*P+v*X,s[7]=S*R+A*F+b*H+v*B,s[11]=S*x+A*j+b*U+v*q,s[15]=S*E+A*Z+b*V+v*Q,this}multiplyScalar(e){const t=this.elements;return t[0]*=e,t[4]*=e,t[8]*=e,t[12]*=e,t[1]*=e,t[5]*=e,t[9]*=e,t[13]*=e,t[2]*=e,t[6]*=e,t[10]*=e,t[14]*=e,t[3]*=e,t[7]*=e,t[11]*=e,t[15]*=e,this}determinant(){const e=this.elements,t=e[0],i=e[4],n=e[8],s=e[12],o=e[1],a=e[5],l=e[9],c=e[13],u=e[2],h=e[6],f=e[10],m=e[14],_=e[3],d=e[7],p=e[11],g=e[15];return _*(+s*l*h-n*c*h-s*a*f+i*c*f+n*a*m-i*l*m)+d*(+t*l*m-t*c*f+s*o*f-n*o*m+n*c*u-s*l*u)+p*(+t*c*h-t*a*m-s*o*h+i*o*m+s*a*u-i*c*u)+g*(-n*a*u-t*l*h+t*a*f+n*o*h-i*o*f+i*l*u)}transpose(){const e=this.elements;let t;return t=e[1],e[1]=e[4],e[4]=t,t=e[2],e[2]=e[8],e[8]=t,t=e[6],e[6]=e[9],e[9]=t,t=e[3],e[3]=e[12],e[12]=t,t=e[7],e[7]=e[13],e[13]=t,t=e[11],e[11]=e[14],e[14]=t,this}setPosition(e,t,i){const n=this.elements;return e.isVector3?(n[12]=e.x,n[13]=e.y,n[14]=e.z):(n[12]=e,n[13]=t,n[14]=i),this}invert(){const e=this.elements,t=e[0],i=e[1],n=e[2],s=e[3],o=e[4],a=e[5],l=e[6],c=e[7],u=e[8],h=e[9],f=e[10],m=e[11],_=e[12],d=e[13],p=e[14],g=e[15],S=h*p*c-d*f*c+d*l*m-a*p*m-h*l*g+a*f*g,A=_*f*c-u*p*c-_*l*m+o*p*m+u*l*g-o*f*g,b=u*d*c-_*h*c+_*a*m-o*d*m-u*a*g+o*h*g,v=_*h*l-u*d*l-_*a*f+o*d*f+u*a*p-o*h*p,w=t*S+i*A+n*b+s*v;if(w===0)return this.set(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0);const R=1/w;return e[0]=S*R,e[1]=(d*f*s-h*p*s-d*n*m+i*p*m+h*n*g-i*f*g)*R,e[2]=(a*p*s-d*l*s+d*n*c-i*p*c-a*n*g+i*l*g)*R,e[3]=(h*l*s-a*f*s-h*n*c+i*f*c+a*n*m-i*l*m)*R,e[4]=A*R,e[5]=(u*p*s-_*f*s+_*n*m-t*p*m-u*n*g+t*f*g)*R,e[6]=(_*l*s-o*p*s-_*n*c+t*p*c+o*n*g-t*l*g)*R,e[7]=(o*f*s-u*l*s+u*n*c-t*f*c-o*n*m+t*l*m)*R,e[8]=b*R,e[9]=(_*h*s-u*d*s-_*i*m+t*d*m+u*i*g-t*h*g)*R,e[10]=(o*d*s-_*a*s+_*i*c-t*d*c-o*i*g+t*a*g)*R,e[11]=(u*a*s-o*h*s-u*i*c+t*h*c+o*i*m-t*a*m)*R,e[12]=v*R,e[13]=(u*d*n-_*h*n+_*i*f-t*d*f-u*i*p+t*h*p)*R,e[14]=(_*a*n-o*d*n-_*i*l+t*d*l+o*i*p-t*a*p)*R,e[15]=(o*h*n-u*a*n+u*i*l-t*h*l-o*i*f+t*a*f)*R,this}scale(e){const t=this.elements,i=e.x,n=e.y,s=e.z;return t[0]*=i,t[4]*=n,t[8]*=s,t[1]*=i,t[5]*=n,t[9]*=s,t[2]*=i,t[6]*=n,t[10]*=s,t[3]*=i,t[7]*=n,t[11]*=s,this}getMaxScaleOnAxis(){const e=this.elements,t=e[0]*e[0]+e[1]*e[1]+e[2]*e[2],i=e[4]*e[4]+e[5]*e[5]+e[6]*e[6],n=e[8]*e[8]+e[9]*e[9]+e[10]*e[10];return Math.sqrt(Math.max(t,i,n))}makeTranslation(e,t,i){return this.set(1,0,0,e,0,1,0,t,0,0,1,i,0,0,0,1),this}makeRotationX(e){const t=Math.cos(e),i=Math.sin(e);return this.set(1,0,0,0,0,t,-i,0,0,i,t,0,0,0,0,1),this}makeRotationY(e){const t=Math.cos(e),i=Math.sin(e);return this.set(t,0,i,0,0,1,0,0,-i,0,t,0,0,0,0,1),this}makeRotationZ(e){const t=Math.cos(e),i=Math.sin(e);return this.set(t,-i,0,0,i,t,0,0,0,0,1,0,0,0,0,1),this}makeRotationAxis(e,t){const i=Math.cos(t),n=Math.sin(t),s=1-i,o=e.x,a=e.y,l=e.z,c=s*o,u=s*a;return this.set(c*o+i,c*a-n*l,c*l+n*a,0,c*a+n*l,u*a+i,u*l-n*o,0,c*l-n*a,u*l+n*o,s*l*l+i,0,0,0,0,1),this}makeScale(e,t,i){return this.set(e,0,0,0,0,t,0,0,0,0,i,0,0,0,0,1),this}makeShear(e,t,i,n,s,o){return this.set(1,i,s,0,e,1,o,0,t,n,1,0,0,0,0,1),this}compose(e,t,i){const n=this.elements,s=t._x,o=t._y,a=t._z,l=t._w,c=s+s,u=o+o,h=a+a,f=s*c,m=s*u,_=s*h,d=o*u,p=o*h,g=a*h,S=l*c,A=l*u,b=l*h,v=i.x,w=i.y,R=i.z;return n[0]=(1-(d+g))*v,n[1]=(m+b)*v,n[2]=(_-A)*v,n[3]=0,n[4]=(m-b)*w,n[5]=(1-(f+g))*w,n[6]=(p+S)*w,n[7]=0,n[8]=(_+A)*R,n[9]=(p-S)*R,n[10]=(1-(f+d))*R,n[11]=0,n[12]=e.x,n[13]=e.y,n[14]=e.z,n[15]=1,this}decompose(e,t,i){const n=this.elements;let s=Dn.set(n[0],n[1],n[2]).length();const o=Dn.set(n[4],n[5],n[6]).length(),a=Dn.set(n[8],n[9],n[10]).length();this.determinant()<0&&(s=-s),e.x=n[12],e.y=n[13],e.z=n[14],Yt.copy(this);const c=1/s,u=1/o,h=1/a;return Yt.elements[0]*=c,Yt.elements[1]*=c,Yt.elements[2]*=c,Yt.elements[4]*=u,Yt.elements[5]*=u,Yt.elements[6]*=u,Yt.elements[8]*=h,Yt.elements[9]*=h,Yt.elements[10]*=h,t.setFromRotationMatrix(Yt),i.x=s,i.y=o,i.z=a,this}makePerspective(e,t,i,n,s,o){o===void 0&&console.warn("THREE.Matrix4: .makePerspective() has been redefined and has a new signature. Please check the docs.");const a=this.elements,l=2*s/(t-e),c=2*s/(i-n),u=(t+e)/(t-e),h=(i+n)/(i-n),f=-(o+s)/(o-s),m=-2*o*s/(o-s);return a[0]=l,a[4]=0,a[8]=u,a[12]=0,a[1]=0,a[5]=c,a[9]=h,a[13]=0,a[2]=0,a[6]=0,a[10]=f,a[14]=m,a[3]=0,a[7]=0,a[11]=-1,a[15]=0,this}makeOrthographic(e,t,i,n,s,o){const a=this.elements,l=1/(t-e),c=1/(i-n),u=1/(o-s),h=(t+e)*l,f=(i+n)*c,m=(o+s)*u;return a[0]=2*l,a[4]=0,a[8]=0,a[12]=-h,a[1]=0,a[5]=2*c,a[9]=0,a[13]=-f,a[2]=0,a[6]=0,a[10]=-2*u,a[14]=-m,a[3]=0,a[7]=0,a[11]=0,a[15]=1,this}equals(e){const t=this.elements,i=e.elements;for(let n=0;n<16;n++)if(t[n]!==i[n])return!1;return!0}fromArray(e,t=0){for(let i=0;i<16;i++)this.elements[i]=e[i+t];return this}toArray(e=[],t=0){const i=this.elements;return e[t]=i[0],e[t+1]=i[1],e[t+2]=i[2],e[t+3]=i[3],e[t+4]=i[4],e[t+5]=i[5],e[t+6]=i[6],e[t+7]=i[7],e[t+8]=i[8],e[t+9]=i[9],e[t+10]=i[10],e[t+11]=i[11],e[t+12]=i[12],e[t+13]=i[13],e[t+14]=i[14],e[t+15]=i[15],e}}const Dn=new L,Yt=new ct,Rd=new L(0,0,0),Cd=new L(1,1,1),Fi=new L,rs=new L,Ct=new L;class fe{constructor(e=0,t=0){this.isVector2=!0,this.x=e,this.y=t}get width(){return this.x}set width(e){this.x=e}get height(){return this.y}set height(e){this.y=e}set(e,t){return this.x=e,this.y=t,this}setScalar(e){return this.x=e,this.y=e,this}setX(e){return this.x=e,this}setY(e){return this.y=e,this}setComponent(e,t){switch(e){case 0:this.x=t;break;case 1:this.y=t;break;default:throw new Error("index is out of range: "+e)}return this}getComponent(e){switch(e){case 0:return this.x;case 1:return this.y;default:throw new Error("index is out of range: "+e)}}clone(){return new this.constructor(this.x,this.y)}copy(e){return this.x=e.x,this.y=e.y,this}add(e,t){return t!==void 0?(console.warn("THREE.Vector2: .add() now only accepts one argument. Use .addVectors( a, b ) instead."),this.addVectors(e,t)):(this.x+=e.x,this.y+=e.y,this)}addScalar(e){return this.x+=e,this.y+=e,this}addVectors(e,t){return this.x=e.x+t.x,this.y=e.y+t.y,this}addScaledVector(e,t){return this.x+=e.x*t,this.y+=e.y*t,this}sub(e,t){return t!==void 0?(console.warn("THREE.Vector2: .sub() now only accepts one argument. Use .subVectors( a, b ) instead."),this.subVectors(e,t)):(this.x-=e.x,this.y-=e.y,this)}subScalar(e){return this.x-=e,this.y-=e,this}subVectors(e,t){return this.x=e.x-t.x,this.y=e.y-t.y,this}multiply(e){return this.x*=e.x,this.y*=e.y,this}multiplyScalar(e){return this.x*=e,this.y*=e,this}divide(e){return this.x/=e.x,this.y/=e.y,this}divideScalar(e){return this.multiplyScalar(1/e)}applyMatrix3(e){const t=this.x,i=this.y,n=e.elements;return this.x=n[0]*t+n[3]*i+n[6],this.y=n[1]*t+n[4]*i+n[7],this}min(e){return this.x=Math.min(this.x,e.x),this.y=Math.min(this.y,e.y),this}max(e){return this.x=Math.max(this.x,e.x),this.y=Math.max(this.y,e.y),this}clamp(e,t){return this.x=Math.max(e.x,Math.min(t.x,this.x)),this.y=Math.max(e.y,Math.min(t.y,this.y)),this}clampScalar(e,t){return this.x=Math.max(e,Math.min(t,this.x)),this.y=Math.max(e,Math.min(t,this.y)),this}clampLength(e,t){const i=this.length();return this.divideScalar(i||1).multiplyScalar(Math.max(e,Math.min(t,i)))}floor(){return this.x=Math.floor(this.x),this.y=Math.floor(this.y),this}ceil(){return this.x=Math.ceil(this.x),this.y=Math.ceil(this.y),this}round(){return this.x=Math.round(this.x),this.y=Math.round(this.y),this}roundToZero(){return this.x=this.x<0?Math.ceil(this.x):Math.floor(this.x),this.y=this.y<0?Math.ceil(this.y):Math.floor(this.y),this}negate(){return this.x=-this.x,this.y=-this.y,this}dot(e){return this.x*e.x+this.y*e.y}cross(e){return this.x*e.y-this.y*e.x}lengthSq(){return this.x*this.x+this.y*this.y}length(){return Math.sqrt(this.x*this.x+this.y*this.y)}manhattanLength(){return Math.abs(this.x)+Math.abs(this.y)}normalize(){return this.divideScalar(this.length()||1)}angle(){return Math.atan2(-this.y,-this.x)+Math.PI}distanceTo(e){return Math.sqrt(this.distanceToSquared(e))}distanceToSquared(e){const t=this.x-e.x,i=this.y-e.y;return t*t+i*i}manhattanDistanceTo(e){return Math.abs(this.x-e.x)+Math.abs(this.y-e.y)}setLength(e){return this.normalize().multiplyScalar(e)}lerp(e,t){return this.x+=(e.x-this.x)*t,this.y+=(e.y-this.y)*t,this}lerpVectors(e,t,i){return this.x=e.x+(t.x-e.x)*i,this.y=e.y+(t.y-e.y)*i,this}equals(e){return e.x===this.x&&e.y===this.y}fromArray(e,t=0){return this.x=e[t],this.y=e[t+1],this}toArray(e=[],t=0){return e[t]=this.x,e[t+1]=this.y,e}fromBufferAttribute(e,t,i){return i!==void 0&&console.warn("THREE.Vector2: offset has been removed from .fromBufferAttribute()."),this.x=e.getX(t),this.y=e.getY(t),this}rotateAround(e,t){const i=Math.cos(t),n=Math.sin(t),s=this.x-e.x,o=this.y-e.y;return this.x=s*i-o*n+e.x,this.y=s*n+o*i+e.y,this}random(){return this.x=Math.random(),this.y=Math.random(),this}*[Symbol.iterator](){yield this.x,yield this.y}}class dt{constructor(e=0,t=0,i=0,n=1){this.isVector4=!0,this.x=e,this.y=t,this.z=i,this.w=n}get width(){return this.z}set width(e){this.z=e}get height(){return this.w}set height(e){this.w=e}set(e,t,i,n){return this.x=e,this.y=t,this.z=i,this.w=n,this}setScalar(e){return this.x=e,this.y=e,this.z=e,this.w=e,this}setX(e){return this.x=e,this}setY(e){return this.y=e,this}setZ(e){return this.z=e,this}setW(e){return this.w=e,this}setComponent(e,t){switch(e){case 0:this.x=t;break;case 1:this.y=t;break;case 2:this.z=t;break;case 3:this.w=t;break;default:throw new Error("index is out of range: "+e)}return this}getComponent(e){switch(e){case 0:return this.x;case 1:return this.y;case 2:return this.z;case 3:return this.w;default:throw new Error("index is out of range: "+e)}}clone(){return new this.constructor(this.x,this.y,this.z,this.w)}copy(e){return this.x=e.x,this.y=e.y,this.z=e.z,this.w=e.w!==void 0?e.w:1,this}add(e,t){return t!==void 0?(console.warn("THREE.Vector4: .add() now only accepts one argument. Use .addVectors( a, b ) instead."),this.addVectors(e,t)):(this.x+=e.x,this.y+=e.y,this.z+=e.z,this.w+=e.w,this)}addScalar(e){return this.x+=e,this.y+=e,this.z+=e,this.w+=e,this}addVectors(e,t){return this.x=e.x+t.x,this.y=e.y+t.y,this.z=e.z+t.z,this.w=e.w+t.w,this}addScaledVector(e,t){return this.x+=e.x*t,this.y+=e.y*t,this.z+=e.z*t,this.w+=e.w*t,this}sub(e,t){return t!==void 0?(console.warn("THREE.Vector4: .sub() now only accepts one argument. 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e.x===this.x&&e.y===this.y&&e.z===this.z&&e.w===this.w}fromArray(e,t=0){return this.x=e[t],this.y=e[t+1],this.z=e[t+2],this.w=e[t+3],this}toArray(e=[],t=0){return e[t]=this.x,e[t+1]=this.y,e[t+2]=this.z,e[t+3]=this.w,e}fromBufferAttribute(e,t,i){return i!==void 0&&console.warn("THREE.Vector4: offset has been removed from .fromBufferAttribute()."),this.x=e.getX(t),this.y=e.getY(t),this.z=e.getZ(t),this.w=e.getW(t),this}random(){return this.x=Math.random(),this.y=Math.random(),this.z=Math.random(),this.w=Math.random(),this}*[Symbol.iterator](){yield this.x,yield this.y,yield this.z,yield this.w}}function Nu(){let r=null,e=!1,t=null,i=null;function n(s,o){t(s,o),i=r.requestAnimationFrame(n)}return{start:function(){e!==!0&&t!==null&&(i=r.requestAnimationFrame(n),e=!0)},stop:function(){r.cancelAnimationFrame(i),e=!1},setAnimationLoop:function(s){t=s},setContext:function(s){r=s}}}function Pd(r,e){const t=e.isWebGL2,i=new WeakMap;function n(c,u){const 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this.constructor().copy(this,e)}copy(e,t=!0){if(this.name=e.name,this.up.copy(e.up),this.position.copy(e.position),this.rotation.order=e.rotation.order,this.quaternion.copy(e.quaternion),this.scale.copy(e.scale),this.matrix.copy(e.matrix),this.matrixWorld.copy(e.matrixWorld),this.matrixAutoUpdate=e.matrixAutoUpdate,this.matrixWorldNeedsUpdate=e.matrixWorldNeedsUpdate,this.layers.mask=e.layers.mask,this.visible=e.visible,this.castShadow=e.castShadow,this.receiveShadow=e.receiveShadow,this.frustumCulled=e.frustumCulled,this.renderOrder=e.renderOrder,this.userData=JSON.parse(JSON.stringify(e.userData)),t===!0)for(let i=0;i=0;--e)if(r[e]>65535)return!0;return!1}function Us(r){return document.createElementNS("http://www.w3.org/1999/xhtml",r)}let Nd=0;const Nt=new ct,Mo=new tt,In=new L,Pt=new Xr,vr=new Xr,it=new L;class Ri extends fr{constructor(){super();this.isBufferGeometry=!0,Object.defineProperty(this,"id",{value:Nd++}),this.uuid=hr(),this.name="",this.type="BufferGeometry",this.index=null,this.attributes={},this.morphAttributes={},this.morphTargetsRelative=!1,this.groups=[],this.boundingBox=null,this.boundingSphere=null,this.drawRange={start:0,count:1/0},this.userData={}}getIndex(){return this.index}setIndex(e){return Array.isArray(e)?this.index=new(Bu(e)?Uu:Ou)(e,1):this.index=e,this}getAttribute(e){return this.attributes[e]}setAttribute(e,t){return this.attributes[e]=t,this}deleteAttribute(e){return delete this.attributes[e],this}hasAttribute(e){return this.attributes[e]!==void 0}addGroup(e,t,i=0){this.groups.push({start:e,count:t,materialIndex:i})}clearGroups(){this.groups=[]}setDrawRange(e,t){this.drawRange.start=e,this.drawRange.count=t}applyMatrix4(e){const t=this.attributes.position;t!==void 0&&(t.applyMatrix4(e),t.needsUpdate=!0);const i=this.attributes.normal;if(i!==void 0){const s=new li().getNormalMatrix(e);i.applyNormalMatrix(s),i.needsUpdate=!0}const n=this.attributes.tangent;return n!==void 0&&(n.transformDirection(e),n.needsUpdate=!0),this.boundingBox!==null&&this.computeBoundingBox(),this.boundingSphere!==null&&this.computeBoundingSphere(),this}applyQuaternion(e){return Nt.makeRotationFromQuaternion(e),this.applyMatrix4(Nt),this}rotateX(e){return Nt.makeRotationX(e),this.applyMatrix4(Nt),this}rotateY(e){return Nt.makeRotationY(e),this.applyMatrix4(Nt),this}rotateZ(e){return Nt.makeRotationZ(e),this.applyMatrix4(Nt),this}translate(e,t,i){return Nt.makeTranslation(e,t,i),this.applyMatrix4(Nt),this}scale(e,t,i){return Nt.makeScale(e,t,i),this.applyMatrix4(Nt),this}lookAt(e){return Mo.lookAt(e),Mo.updateMatrix(),this.applyMatrix4(Mo.matrix),this}center(){return this.computeBoundingBox(),this.boundingBox.getCenter(In).negate(),this.translate(In.x,In.y,In.z),this}setFromPoints(e){const t=[];for(let i=0,n=e.length;i0&&(e.userData=this.userData),this.parameters!==void 0){const l=this.parameters;for(const c in l)l[c]!==void 0&&(e[c]=l[c]);return e}e.data={attributes:{}};const t=this.index;t!==null&&(e.data.index={type:t.array.constructor.name,array:Array.prototype.slice.call(t.array)});const i=this.attributes;for(const l in i){const c=i[l];e.data.attributes[l]=c.toJSON(e.data)}const n={};let s=!1;for(const l in this.morphAttributes){const c=this.morphAttributes[l],u=[];for(let h=0,f=c.length;h0&&(n[l]=u,s=!0)}s&&(e.data.morphAttributes=n,e.data.morphTargetsRelative=this.morphTargetsRelative);const o=this.groups;o.length>0&&(e.data.groups=JSON.parse(JSON.stringify(o)));const a=this.boundingSphere;return a!==null&&(e.data.boundingSphere={center:a.center.toArray(),radius:a.radius}),e}clone(){return new this.constructor().copy(this)}copy(e){this.index=null,this.attributes={},this.morphAttributes={},this.groups=[],this.boundingBox=null,this.boundingSphere=null;const t={};this.name=e.name;const i=e.index;i!==null&&this.setIndex(i.clone(t));const n=e.attributes;for(const c in n){const u=n[c];this.setAttribute(c,u.clone(t))}const s=e.morphAttributes;for(const c in s){const u=[],h=s[c];for(let f=0,m=h.length;f0?1:-1,u.push(B.x,B.y,B.z),h.push(K/R),h.push(1-q/x),V+=1}}for(let q=0;q0!=e>0&&this.version++,this._alphaTest=e}onBuild(){}onBeforeRender(){}onBeforeCompile(){}customProgramCacheKey(){return this.onBeforeCompile.toString()}setValues(e){if(e!==void 0)for(const t in e){const i=e[t];if(i===void 0){console.warn("THREE.Material: '"+t+"' parameter is undefined.");continue}if(t==="shading"){console.warn("THREE."+this.type+": .shading has been removed. 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0&&(i.sheenRoughness=this.sheenRoughness),this.emissive&&this.emissive.isColor&&(i.emissive=this.emissive.getHex()),this.emissiveIntensity&&this.emissiveIntensity!==1&&(i.emissiveIntensity=this.emissiveIntensity),this.specular&&this.specular.isColor&&(i.specular=this.specular.getHex()),this.specularIntensity!==void 0&&(i.specularIntensity=this.specularIntensity),this.specularColor&&this.specularColor.isColor&&(i.specularColor=this.specularColor.getHex()),this.shininess!==void 0&&(i.shininess=this.shininess),this.clearcoat!==void 0&&(i.clearcoat=this.clearcoat),this.clearcoatRoughness!==void 0&&(i.clearcoatRoughness=this.clearcoatRoughness),this.clearcoatMap&&this.clearcoatMap.isTexture&&(i.clearcoatMap=this.clearcoatMap.toJSON(e).uuid),this.clearcoatRoughnessMap&&this.clearcoatRoughnessMap.isTexture&&(i.clearcoatRoughnessMap=this.clearcoatRoughnessMap.toJSON(e).uuid),this.clearcoatNormalMap&&this.clearcoatNormalMap.isTexture&&(i.clearcoatNormalMap=this.clearcoatNormalMap.toJSON(e).uuid,i.clearcoatNormalScale=this.clearcoatNormalScale.toArray()),this.iridescence!==void 0&&(i.iridescence=this.iridescence),this.iridescenceIOR!==void 0&&(i.iridescenceIOR=this.iridescenceIOR),this.iridescenceThicknessRange!==void 0&&(i.iridescenceThicknessRange=this.iridescenceThicknessRange),this.iridescenceMap&&this.iridescenceMap.isTexture&&(i.iridescenceMap=this.iridescenceMap.toJSON(e).uuid),this.iridescenceThicknessMap&&this.iridescenceThicknessMap.isTexture&&(i.iridescenceThicknessMap=this.iridescenceThicknessMap.toJSON(e).uuid),this.map&&this.map.isTexture&&(i.map=this.map.toJSON(e).uuid),this.matcap&&this.matcap.isTexture&&(i.matcap=this.matcap.toJSON(e).uuid),this.alphaMap&&this.alphaMap.isTexture&&(i.alphaMap=this.alphaMap.toJSON(e).uuid),this.lightMap&&this.lightMap.isTexture&&(i.lightMap=this.lightMap.toJSON(e).uuid,i.lightMapIntensity=this.lightMapIntensity),this.aoMap&&this.aoMap.isTexture&&(i.aoMap=this.aoMap.toJSON(e).uuid,i.aoMapIntensity=this.aoMapIntensity),this.bumpMap&&this.bumpMap.isTexture&&(i.bumpMap=this.bumpMap.toJSON(e).uuid,i.bumpScale=this.bumpScale),this.normalMap&&this.normalMap.isTexture&&(i.normalMap=this.normalMap.toJSON(e).uuid,i.normalMapType=this.normalMapType,i.normalScale=this.normalScale.toArray()),this.displacementMap&&this.displacementMap.isTexture&&(i.displacementMap=this.displacementMap.toJSON(e).uuid,i.displacementScale=this.displacementScale,i.displacementBias=this.displacementBias),this.roughnessMap&&this.roughnessMap.isTexture&&(i.roughnessMap=this.roughnessMap.toJSON(e).uuid),this.metalnessMap&&this.metalnessMap.isTexture&&(i.metalnessMap=this.metalnessMap.toJSON(e).uuid),this.emissiveMap&&this.emissiveMap.isTexture&&(i.emissiveMap=this.emissiveMap.toJSON(e).uuid),this.specularMap&&this.specularMap.isTexture&&(i.specularMap=this.specularMap.toJSON(e).uuid),this.specularIntensityMap&&this.specularIntensityMap.isTexture&&(i.specularIntensityMap=this.specularIntensityMap.toJSON(e).uuid),this.specularColorMap&&this.specularColorMap.isTexture&&(i.specularColorMap=this.specularColorMap.toJSON(e).uuid),this.envMap&&this.envMap.isTexture&&(i.envMap=this.envMap.toJSON(e).uuid,this.combine!==void 0&&(i.combine=this.combine)),this.envMapIntensity!==void 0&&(i.envMapIntensity=this.envMapIntensity),this.reflectivity!==void 0&&(i.reflectivity=this.reflectivity),this.refractionRatio!==void 0&&(i.refractionRatio=this.refractionRatio),this.gradientMap&&this.gradientMap.isTexture&&(i.gradientMap=this.gradientMap.toJSON(e).uuid),this.transmission!==void 0&&(i.transmission=this.transmission),this.transmissionMap&&this.transmissionMap.isTexture&&(i.transmissionMap=this.transmissionMap.toJSON(e).uuid),this.thickness!==void 0&&(i.thickness=this.thickness),this.thicknessMap&&this.thicknessMap.isTexture&&(i.thicknessMap=this.thicknessMap.toJSON(e).uuid),this.attenuationDistance!==void 0&&(i.attenuationDistance=this.attenuationDistance),this.attenuationColor!==void 0&&(i.attenuationColor=this.attenuationColor.getHex()),this.size!==void 0&&(i.size=this.size),this.shadowSide!==null&&(i.shadowSide=this.shadowSide),this.sizeAttenuation!==void 0&&(i.sizeAttenuation=this.sizeAttenuation),this.blending!==Jn&&(i.blending=this.blending),this.side!==Dr&&(i.side=this.side),this.vertexColors&&(i.vertexColors=!0),this.opacity<1&&(i.opacity=this.opacity),this.transparent===!0&&(i.transparent=this.transparent),i.depthFunc=this.depthFunc,i.depthTest=this.depthTest,i.depthWrite=this.depthWrite,i.colorWrite=this.colorWrite,i.stencilWrite=this.stencilWrite,i.stencilWriteMask=this.stencilWriteMask,i.stencilFunc=this.stencilFunc,i.stencilRef=this.stencilRef,i.stencilFuncMask=this.stencilFuncMask,i.stencilFail=this.stencilFail,i.stencilZFail=this.stencilZFail,i.stencilZPass=this.stencilZPass,this.rotation!==void 0&&this.rotation!==0&&(i.rotation=this.rotation),this.polygonOffset===!0&&(i.polygonOffset=!0),this.polygonOffsetFactor!==0&&(i.polygonOffsetFactor=this.polygonOffsetFactor),this.polygonOffsetUnits!==0&&(i.polygonOffsetUnits=this.polygonOffsetUnits),this.linewidth!==void 0&&this.linewidth!==1&&(i.linewidth=this.linewidth),this.dashSize!==void 0&&(i.dashSize=this.dashSize),this.gapSize!==void 0&&(i.gapSize=this.gapSize),this.scale!==void 0&&(i.scale=this.scale),this.dithering===!0&&(i.dithering=!0),this.alphaTest>0&&(i.alphaTest=this.alphaTest),this.alphaToCoverage===!0&&(i.alphaToCoverage=this.alphaToCoverage),this.premultipliedAlpha===!0&&(i.premultipliedAlpha=this.premultipliedAlpha),this.wireframe===!0&&(i.wireframe=this.wireframe),this.wireframeLinewidth>1&&(i.wireframeLinewidth=this.wireframeLinewidth),this.wireframeLinecap!=="round"&&(i.wireframeLinecap=this.wireframeLinecap),this.wireframeLinejoin!=="round"&&(i.wireframeLinejoin=this.wireframeLinejoin),this.flatShading===!0&&(i.flatShading=this.flatShading),this.visible===!1&&(i.visible=!1),this.toneMapped===!1&&(i.toneMapped=!1),this.fog===!1&&(i.fog=!1),JSON.stringify(this.userData)!=="{}"&&(i.userData=this.userData);function n(s){const o=[];for(const a in s){const l=s[a];delete l.metadata,o.push(l)}return o}if(t){const s=n(e.textures),o=n(e.images);s.length>0&&(i.textures=s),o.length>0&&(i.images=o)}return i}clone(){return new this.constructor().copy(this)}copy(e){this.name=e.name,this.blending=e.blending,this.side=e.side,this.vertexColors=e.vertexColors,this.opacity=e.opacity,this.transparent=e.transparent,this.blendSrc=e.blendSrc,this.blendDst=e.blendDst,this.blendEquation=e.blendEquation,this.blendSrcAlpha=e.blendSrcAlpha,this.blendDstAlpha=e.blendDstAlpha,this.blendEquationAlpha=e.blendEquationAlpha,this.depthFunc=e.depthFunc,this.depthTest=e.depthTest,this.depthWrite=e.depthWrite,this.stencilWriteMask=e.stencilWriteMask,this.stencilFunc=e.stencilFunc,this.stencilRef=e.stencilRef,this.stencilFuncMask=e.stencilFuncMask,this.stencilFail=e.stencilFail,this.stencilZFail=e.stencilZFail,this.stencilZPass=e.stencilZPass,this.stencilWrite=e.stencilWrite;const t=e.clippingPlanes;let i=null;if(t!==null){const n=t.length;i=new Array(n);for(let s=0;s!==n;++s)i[s]=t[s].clone()}return this.clippingPlanes=i,this.clipIntersection=e.clipIntersection,this.clipShadows=e.clipShadows,this.shadowSide=e.shadowSide,this.colorWrite=e.colorWrite,this.precision=e.precision,this.polygonOffset=e.polygonOffset,this.polygonOffsetFactor=e.polygonOffsetFactor,this.polygonOffsetUnits=e.polygonOffsetUnits,this.dithering=e.dithering,this.alphaTest=e.alphaTest,this.alphaToCoverage=e.alphaToCoverage,this.premultipliedAlpha=e.premultipliedAlpha,this.visible=e.visible,this.toneMapped=e.toneMapped,this.userData=JSON.parse(JSON.stringify(e.userData)),this}dispose(){this.dispatchEvent({type:"dispose"})}set needsUpdate(e){e===!0&&this.version++}get vertexTangents(){return console.warn("THREE."+this.type+": .vertexTangents has been removed."),!1}set vertexTangents(e){console.warn("THREE."+this.type+": .vertexTangents has been removed.")}}Zr.fromType=function(){return null};function ur(r){const e={};for(const t in r){e[t]={};for(const i in r[t]){const n=r[t][i];n&&(n.isColor||n.isMatrix3||n.isMatrix4||n.isVector2||n.isVector3||n.isVector4||n.isTexture||n.isQuaternion)?e[t][i]=n.clone():Array.isArray(n)?e[t][i]=n.slice():e[t][i]=n}}return e}function ht(r){const e={};for(let t=0;t0&&(t.defines=this.defines),t.vertexShader=this.vertexShader,t.fragmentShader=this.fragmentShader;const i={};for(const n in this.extensions)this.extensions[n]===!0&&(i[n]=!0);return Object.keys(i).length>0&&(t.extensions=i),t}}const _i=new L,Eo=new L,as=new L,Ii=new L,bo=new L,ls=new L,wo=new L;class Gd{constructor(e=new L,t=new L(0,0,-1)){this.origin=e,this.direction=t}set(e,t){return this.origin.copy(e),this.direction.copy(t),this}copy(e){return this.origin.copy(e.origin),this.direction.copy(e.direction),this}at(e,t){return t.copy(this.direction).multiplyScalar(e).add(this.origin)}lookAt(e){return this.direction.copy(e).sub(this.origin).normalize(),this}recast(e){return this.origin.copy(this.at(e,_i)),this}closestPointToPoint(e,t){t.subVectors(e,this.origin);const i=t.dot(this.direction);return i<0?t.copy(this.origin):t.copy(this.direction).multiplyScalar(i).add(this.origin)}distanceToPoint(e){return Math.sqrt(this.distanceSqToPoint(e))}distanceSqToPoint(e){const t=_i.subVectors(e,this.origin).dot(this.direction);return t<0?this.origin.distanceToSquared(e):(_i.copy(this.direction).multiplyScalar(t).add(this.origin),_i.distanceToSquared(e))}distanceSqToSegment(e,t,i,n){Eo.copy(e).add(t).multiplyScalar(.5),as.copy(t).sub(e).normalize(),Ii.copy(this.origin).sub(Eo);const s=e.distanceTo(t)*.5,o=-this.direction.dot(as),a=Ii.dot(this.direction),l=-Ii.dot(as),c=Ii.lengthSq(),u=Math.abs(1-o*o);let h,f,m,_;if(u>0)if(h=o*l-a,f=o*a-l,_=s*u,h>=0)if(f>=-_)if(f<=_){const d=1/u;h*=d,f*=d,m=h*(h+o*f+2*a)+f*(o*h+f+2*l)+c}else f=s,h=Math.max(0,-(o*f+a)),m=-h*h+f*(f+2*l)+c;else f=-s,h=Math.max(0,-(o*f+a)),m=-h*h+f*(f+2*l)+c;else f<=-_?(h=Math.max(0,-(-o*s+a)),f=h>0?-s:Math.min(Math.max(-s,-l),s),m=-h*h+f*(f+2*l)+c):f<=_?(h=0,f=Math.min(Math.max(-s,-l),s),m=f*(f+2*l)+c):(h=Math.max(0,-(o*s+a)),f=h>0?s:Math.min(Math.max(-s,-l),s),m=-h*h+f*(f+2*l)+c);else f=o>0?-s:s,h=Math.max(0,-(o*f+a)),m=-h*h+f*(f+2*l)+c;return i&&i.copy(this.direction).multiplyScalar(h).add(this.origin),n&&n.copy(as).multiplyScalar(f).add(Eo),m}intersectSphere(e,t){_i.subVectors(e.center,this.origin);const i=_i.dot(this.direction),n=_i.dot(_i)-i*i,s=e.radius*e.radius;if(n>s)return null;const o=Math.sqrt(s-n),a=i-o,l=i+o;return a<0&&l<0?null:a<0?this.at(l,t):this.at(a,t)}intersectsSphere(e){return this.distanceSqToPoint(e.center)<=e.radius*e.radius}distanceToPlane(e){const t=e.normal.dot(this.direction);if(t===0)return e.distanceToPoint(this.origin)===0?0:null;const i=-(this.origin.dot(e.normal)+e.constant)/t;return i>=0?i:null}intersectPlane(e,t){const i=this.distanceToPlane(e);return i===null?null:this.at(i,t)}intersectsPlane(e){const t=e.distanceToPoint(this.origin);return t===0||e.normal.dot(this.direction)*t<0}intersectBox(e,t){let i,n,s,o,a,l;const c=1/this.direction.x,u=1/this.direction.y,h=1/this.direction.z,f=this.origin;return c>=0?(i=(e.min.x-f.x)*c,n=(e.max.x-f.x)*c):(i=(e.max.x-f.x)*c,n=(e.min.x-f.x)*c),u>=0?(s=(e.min.y-f.y)*u,o=(e.max.y-f.y)*u):(s=(e.max.y-f.y)*u,o=(e.min.y-f.y)*u),i>o||s>n||((s>i||i!==i)&&(i=s),(o=0?(a=(e.min.z-f.z)*h,l=(e.max.z-f.z)*h):(a=(e.max.z-f.z)*h,l=(e.min.z-f.z)*h),i>l||a>n)||((a>i||i!==i)&&(i=a),(l=0?i:n,t)}intersectsBox(e){return this.intersectBox(e,_i)!==null}intersectTriangle(e,t,i,n,s){bo.subVectors(t,e),ls.subVectors(i,e),wo.crossVectors(bo,ls);let o=this.direction.dot(wo),a;if(o>0){if(n)return null;a=1}else if(o<0)a=-1,o=-o;else return null;Ii.subVectors(this.origin,e);const l=a*this.direction.dot(ls.crossVectors(Ii,ls));if(l<0)return null;const c=a*this.direction.dot(bo.cross(Ii));if(c<0||l+c>o)return null;const u=-a*Ii.dot(wo);return u<0?null:this.at(u/o,s)}applyMatrix4(e){return this.origin.applyMatrix4(e),this.direction.transformDirection(e),this}equals(e){return e.origin.equals(this.origin)&&e.direction.equals(this.direction)}clone(){return new this.constructor().copy(this)}}const Zt=new L,gi=new L,To=new L,xi=new L,Nn=new L,On=new L,jl=new L,Ao=new L,Ro=new L,Co=new L;class Si{constructor(e=new L,t=new L,i=new L){this.a=e,this.b=t,this.c=i}static getNormal(e,t,i,n){n.subVectors(i,t),Zt.subVectors(e,t),n.cross(Zt);const s=n.lengthSq();return s>0?n.multiplyScalar(1/Math.sqrt(s)):n.set(0,0,0)}static getBarycoord(e,t,i,n,s){Zt.subVectors(n,t),gi.subVectors(i,t),To.subVectors(e,t);const o=Zt.dot(Zt),a=Zt.dot(gi),l=Zt.dot(To),c=gi.dot(gi),u=gi.dot(To),h=o*c-a*a;if(h===0)return s.set(-2,-1,-1);const f=1/h,m=(c*l-a*u)*f,_=(o*u-a*l)*f;return s.set(1-m-_,_,m)}static containsPoint(e,t,i,n){return this.getBarycoord(e,t,i,n,xi),xi.x>=0&&xi.y>=0&&xi.x+xi.y<=1}static getUV(e,t,i,n,s,o,a,l){return this.getBarycoord(e,t,i,n,xi),l.set(0,0),l.addScaledVector(s,xi.x),l.addScaledVector(o,xi.y),l.addScaledVector(a,xi.z),l}static isFrontFacing(e,t,i,n){return Zt.subVectors(i,t),gi.subVectors(e,t),Zt.cross(gi).dot(n)<0}set(e,t,i){return this.a.copy(e),this.b.copy(t),this.c.copy(i),this}setFromPointsAndIndices(e,t,i,n){return this.a.copy(e[t]),this.b.copy(e[i]),this.c.copy(e[n]),this}setFromAttributeAndIndices(e,t,i,n){return this.a.fromBufferAttribute(e,t),this.b.fromBufferAttribute(e,i),this.c.fromBufferAttribute(e,n),this}clone(){return new this.constructor().copy(this)}copy(e){return this.a.copy(e.a),this.b.copy(e.b),this.c.copy(e.c),this}getArea(){return Zt.subVectors(this.c,this.b),gi.subVectors(this.a,this.b),Zt.cross(gi).length()*.5}getMidpoint(e){return e.addVectors(this.a,this.b).add(this.c).multiplyScalar(1/3)}getNormal(e){return Si.getNormal(this.a,this.b,this.c,e)}getPlane(e){return e.setFromCoplanarPoints(this.a,this.b,this.c)}getBarycoord(e,t){return Si.getBarycoord(e,this.a,this.b,this.c,t)}getUV(e,t,i,n,s){return Si.getUV(e,this.a,this.b,this.c,t,i,n,s)}containsPoint(e){return Si.containsPoint(e,this.a,this.b,this.c)}isFrontFacing(e){return Si.isFrontFacing(this.a,this.b,this.c,e)}intersectsBox(e){return e.intersectsTriangle(this)}closestPointToPoint(e,t){const i=this.a,n=this.b,s=this.c;let o,a;Nn.subVectors(n,i),On.subVectors(s,i),Ao.subVectors(e,i);const l=Nn.dot(Ao),c=On.dot(Ao);if(l<=0&&c<=0)return t.copy(i);Ro.subVectors(e,n);const u=Nn.dot(Ro),h=On.dot(Ro);if(u>=0&&h<=u)return t.copy(n);const f=l*h-u*c;if(f<=0&&l>=0&&u<=0)return o=l/(l-u),t.copy(i).addScaledVector(Nn,o);Co.subVectors(e,s);const m=Nn.dot(Co),_=On.dot(Co);if(_>=0&&m<=_)return t.copy(s);const d=m*c-l*_;if(d<=0&&c>=0&&_<=0)return a=c/(c-_),t.copy(i).addScaledVector(On,a);const p=u*_-m*h;if(p<=0&&h-u>=0&&m-_>=0)return jl.subVectors(s,n),a=(h-u)/(h-u+(m-_)),t.copy(n).addScaledVector(jl,a);const g=1/(p+d+f);return o=d*g,a=f*g,t.copy(i).addScaledVector(Nn,o).addScaledVector(On,a)}equals(e){return e.a.equals(this.a)&&e.b.equals(this.b)&&e.c.equals(this.c)}}class Ci extends Zr{constructor(e){super();this.isMeshBasicMaterial=!0,this.type="MeshBasicMaterial",this.color=new Le(16777215),this.map=null,this.lightMap=null,this.lightMapIntensity=1,this.aoMap=null,this.aoMapIntensity=1,this.specularMap=null,this.alphaMap=null,this.envMap=null,this.combine=Dc,this.reflectivity=1,this.refractionRatio=.98,this.wireframe=!1,this.wireframeLinewidth=1,this.wireframeLinecap="round",this.wireframeLinejoin="round",this.fog=!0,this.setValues(e)}copy(e){return super.copy(e),this.color.copy(e.color),this.map=e.map,this.lightMap=e.lightMap,this.lightMapIntensity=e.lightMapIntensity,this.aoMap=e.aoMap,this.aoMapIntensity=e.aoMapIntensity,this.specularMap=e.specularMap,this.alphaMap=e.alphaMap,this.envMap=e.envMap,this.combine=e.combine,this.reflectivity=e.reflectivity,this.refractionRatio=e.refractionRatio,this.wireframe=e.wireframe,this.wireframeLinewidth=e.wireframeLinewidth,this.wireframeLinecap=e.wireframeLinecap,this.wireframeLinejoin=e.wireframeLinejoin,this.fog=e.fog,this}}const $l=new ct,Un=new Gd,Po=new Aa,Ni=new L,Oi=new L,Ui=new L,Lo=new L,Do=new L,Fo=new L,cs=new L,us=new L,hs=new L,fs=new fe,ds=new fe,ps=new fe,Io=new L,ms=new L;class xt extends tt{constructor(e=new Ri,t=new Ci){super();this.isMesh=!0,this.type="Mesh",this.geometry=e,this.material=t,this.updateMorphTargets()}copy(e,t){return super.copy(e,t),e.morphTargetInfluences!==void 0&&(this.morphTargetInfluences=e.morphTargetInfluences.slice()),e.morphTargetDictionary!==void 0&&(this.morphTargetDictionary=Object.assign({},e.morphTargetDictionary)),this.material=e.material,this.geometry=e.geometry,this}updateMorphTargets(){const t=this.geometry.morphAttributes,i=Object.keys(t);if(i.length>0){const n=t[i[0]];if(n!==void 0){this.morphTargetInfluences=[],this.morphTargetDictionary={};for(let s=0,o=n.length;st.far?null:{distance:c,point:ms.clone(),object:r}}function _s(r,e,t,i,n,s,o,a,l,c,u,h){Ni.fromBufferAttribute(n,c),Oi.fromBufferAttribute(n,u),Ui.fromBufferAttribute(n,h);const f=r.morphTargetInfluences;if(s&&f){cs.set(0,0,0),us.set(0,0,0),hs.set(0,0,0);for(let _=0,d=s.length;_ 0.0 ) ? v : 0.5 * inversesqrt( max( 1.0 - x * x, 1e-7 ) ) - v; return cross( v1, v2 ) * theta_sintheta; } vec3 LTC_Evaluate( const in vec3 N, const in vec3 V, const in vec3 P, const in mat3 mInv, const in vec3 rectCoords[ 4 ] ) { // bail if point is on back side of plane of light // assumes ccw winding order of light vertices vec3 v1 = rectCoords[ 1 ] - rectCoords[ 0 ]; vec3 v2 = rectCoords[ 3 ] - rectCoords[ 0 ]; vec3 lightNormal = cross( v1, v2 ); if( dot( lightNormal, P - rectCoords[ 0 ] ) < 0.0 ) return vec3( 0.0 ); // construct orthonormal basis around N vec3 T1, T2; T1 = normalize( V - N * dot( V, N ) ); T2 = - cross( N, T1 ); // negated from paper; possibly due to a different handedness of world coordinate system // compute transform mat3 mat = mInv * transposeMat3( mat3( T1, T2, N ) ); // transform rect vec3 coords[ 4 ]; coords[ 0 ] = mat * ( rectCoords[ 0 ] - P ); coords[ 1 ] = mat * ( rectCoords[ 1 ] - P ); coords[ 2 ] = mat * ( rectCoords[ 2 ] - P ); coords[ 3 ] = mat * ( rectCoords[ 3 ] - P ); // project rect onto sphere coords[ 0 ] = normalize( coords[ 0 ] ); coords[ 1 ] = normalize( coords[ 1 ] ); coords[ 2 ] = normalize( coords[ 2 ] ); coords[ 3 ] = normalize( coords[ 3 ] ); // calculate vector form factor vec3 vectorFormFactor = vec3( 0.0 ); vectorFormFactor += LTC_EdgeVectorFormFactor( coords[ 0 ], coords[ 1 ] ); vectorFormFactor += LTC_EdgeVectorFormFactor( coords[ 1 ], coords[ 2 ] ); vectorFormFactor += LTC_EdgeVectorFormFactor( coords[ 2 ], coords[ 3 ] ); vectorFormFactor += LTC_EdgeVectorFormFactor( coords[ 3 ], coords[ 0 ] ); // adjust for horizon clipping float result = LTC_ClippedSphereFormFactor( vectorFormFactor ); /* // alternate method of adjusting for horizon clipping (see referece) // refactoring required float len = length( vectorFormFactor ); float z = vectorFormFactor.z / len; const float LUT_SIZE = 64.0; const float LUT_SCALE = ( LUT_SIZE - 1.0 ) / LUT_SIZE; const float LUT_BIAS = 0.5 / LUT_SIZE; // tabulated horizon-clipped sphere, apparently... vec2 uv = vec2( z * 0.5 + 0.5, len ); uv = uv * LUT_SCALE + LUT_BIAS; float scale = texture2D( ltc_2, uv ).w; float result = len * scale; */ return vec3( result ); } // End Rect Area Light float G_BlinnPhong_Implicit( /* const in float dotNL, const in float dotNV */ ) { // geometry term is (n dot l)(n dot v) / 4(n dot l)(n dot v) return 0.25; } float D_BlinnPhong( const in float shininess, const in float dotNH ) { return RECIPROCAL_PI * ( shininess * 0.5 + 1.0 ) * pow( dotNH, shininess ); } vec3 BRDF_BlinnPhong( const in vec3 lightDir, const in vec3 viewDir, const in vec3 normal, const in vec3 specularColor, const in float shininess ) { vec3 halfDir = normalize( lightDir + viewDir ); float dotNH = saturate( dot( normal, halfDir ) ); float dotVH = saturate( dot( viewDir, halfDir ) ); vec3 F = F_Schlick( specularColor, 1.0, dotVH ); float G = G_BlinnPhong_Implicit( /* dotNL, dotNV */ ); float D = D_BlinnPhong( shininess, dotNH ); return F * ( G * D ); } // validated #if defined( USE_SHEEN ) // https://github.com/google/filament/blob/master/shaders/src/brdf.fs float D_Charlie( float roughness, float dotNH ) { float alpha = pow2( roughness ); // Estevez and Kulla 2017, "Production Friendly Microfacet Sheen BRDF" float invAlpha = 1.0 / alpha; float cos2h = dotNH * dotNH; float sin2h = max( 1.0 - cos2h, 0.0078125 ); // 2^(-14/2), so sin2h^2 > 0 in fp16 return ( 2.0 + invAlpha ) * pow( sin2h, invAlpha * 0.5 ) / ( 2.0 * PI ); } // https://github.com/google/filament/blob/master/shaders/src/brdf.fs float V_Neubelt( float dotNV, float dotNL ) { // Neubelt and Pettineo 2013, "Crafting a Next-gen Material Pipeline for The Order: 1886" return saturate( 1.0 / ( 4.0 * ( dotNL + dotNV - dotNL * dotNV ) ) ); } vec3 BRDF_Sheen( const in vec3 lightDir, const in vec3 viewDir, const in vec3 normal, vec3 sheenColor, const in float sheenRoughness ) { vec3 halfDir = normalize( lightDir + viewDir ); float dotNL = saturate( dot( normal, lightDir ) ); float dotNV = saturate( dot( normal, viewDir ) ); float dotNH = saturate( dot( normal, halfDir ) ); float D = D_Charlie( sheenRoughness, dotNH ); float V = V_Neubelt( dotNV, dotNL ); return sheenColor * ( D * V ); } #endif `,jd=` #ifdef USE_IRIDESCENCE // XYZ to sRGB color space const mat3 XYZ_TO_REC709 = mat3( 3.2404542, -0.9692660, 0.0556434, -1.5371385, 1.8760108, -0.2040259, -0.4985314, 0.0415560, 1.0572252 ); // Assume air interface for top // Note: We don't handle the case fresnel0 == 1 vec3 Fresnel0ToIor( vec3 fresnel0 ) { vec3 sqrtF0 = sqrt( fresnel0 ); return ( vec3( 1.0 ) + sqrtF0 ) / ( vec3( 1.0 ) - sqrtF0 ); } // Conversion FO/IOR vec3 IorToFresnel0( vec3 transmittedIor, float incidentIor ) { return pow2( ( transmittedIor - vec3( incidentIor ) ) / ( transmittedIor + vec3( incidentIor ) ) ); } // ior is a value between 1.0 and 3.0. 1.0 is air interface float IorToFresnel0( float transmittedIor, float incidentIor ) { return pow2( ( transmittedIor - incidentIor ) / ( transmittedIor + incidentIor )); } // Fresnel equations for dielectric/dielectric interfaces. // Ref: https://belcour.github.io/blog/research/2017/05/01/brdf-thin-film.html // Evaluation XYZ sensitivity curves in Fourier space vec3 evalSensitivity( float OPD, vec3 shift ) { float phase = 2.0 * PI * OPD * 1.0e-9; vec3 val = vec3( 5.4856e-13, 4.4201e-13, 5.2481e-13 ); vec3 pos = vec3( 1.6810e+06, 1.7953e+06, 2.2084e+06 ); vec3 var = vec3( 4.3278e+09, 9.3046e+09, 6.6121e+09 ); vec3 xyz = val * sqrt( 2.0 * PI * var ) * cos( pos * phase + shift ) * exp( -pow2( phase ) * var ); xyz.x += 9.7470e-14 * sqrt( 2.0 * PI * 4.5282e+09 ) * cos( 2.2399e+06 * phase + shift[0] ) * exp( -4.5282e+09 * pow2( phase ) ); xyz /= 1.0685e-7; vec3 srgb = XYZ_TO_REC709 * xyz; return srgb; } vec3 evalIridescence( float outsideIOR, float eta2, float cosTheta1, float thinFilmThickness, vec3 baseF0 ) { vec3 I; // Force iridescenceIOR -> outsideIOR when thinFilmThickness -> 0.0 float iridescenceIOR = mix( outsideIOR, eta2, smoothstep( 0.0, 0.03, thinFilmThickness ) ); // Evaluate the cosTheta on the base layer (Snell law) float sinTheta2Sq = pow2( outsideIOR / iridescenceIOR ) * ( 1.0 - pow2( cosTheta1 ) ); // Handle TIR: float cosTheta2Sq = 1.0 - sinTheta2Sq; if ( cosTheta2Sq < 0.0 ) { return vec3( 1.0 ); } float cosTheta2 = sqrt( cosTheta2Sq ); // First interface float R0 = IorToFresnel0( iridescenceIOR, outsideIOR ); float R12 = F_Schlick( R0, 1.0, cosTheta1 ); float R21 = R12; float T121 = 1.0 - R12; float phi12 = 0.0; if ( iridescenceIOR < outsideIOR ) phi12 = PI; float phi21 = PI - phi12; // Second interface vec3 baseIOR = Fresnel0ToIor( clamp( baseF0, 0.0, 0.9999 ) ); // guard against 1.0 vec3 R1 = IorToFresnel0( baseIOR, iridescenceIOR ); vec3 R23 = F_Schlick( R1, 1.0, cosTheta2 ); vec3 phi23 = vec3( 0.0 ); if ( baseIOR[0] < iridescenceIOR ) phi23[0] = PI; if ( baseIOR[1] < iridescenceIOR ) phi23[1] = PI; if ( baseIOR[2] < iridescenceIOR ) phi23[2] = PI; // Phase shift float OPD = 2.0 * iridescenceIOR * thinFilmThickness * cosTheta2; vec3 phi = vec3( phi21 ) + phi23; // Compound terms vec3 R123 = clamp( R12 * R23, 1e-5, 0.9999 ); vec3 r123 = sqrt( R123 ); vec3 Rs = pow2( T121 ) * R23 / ( vec3( 1.0 ) - R123 ); // Reflectance term for m = 0 (DC term amplitude) vec3 C0 = R12 + Rs; I = C0; // Reflectance term for m > 0 (pairs of diracs) vec3 Cm = Rs - T121; for ( int m = 1; m <= 2; ++m ) { Cm *= r123; vec3 Sm = 2.0 * evalSensitivity( float( m ) * OPD, float( m ) * phi ); I += Cm * Sm; } // Since out of gamut colors might be produced, negative color values are clamped to 0. return max( I, vec3( 0.0 ) ); } #endif `,$d=` #ifdef USE_BUMPMAP uniform sampler2D bumpMap; uniform float bumpScale; // Bump Mapping Unparametrized Surfaces on the GPU by Morten S. Mikkelsen // https://mmikk.github.io/papers3d/mm_sfgrad_bump.pdf // Evaluate the derivative of the height w.r.t. screen-space using forward differencing (listing 2) vec2 dHdxy_fwd() { vec2 dSTdx = dFdx( vUv ); vec2 dSTdy = dFdy( vUv ); float Hll = bumpScale * texture2D( bumpMap, vUv ).x; float dBx = bumpScale * texture2D( bumpMap, vUv + dSTdx ).x - Hll; float dBy = bumpScale * texture2D( bumpMap, vUv + dSTdy ).x - Hll; return vec2( dBx, dBy ); } vec3 perturbNormalArb( vec3 surf_pos, vec3 surf_norm, vec2 dHdxy, float faceDirection ) { // Workaround for Adreno 3XX dFd*( vec3 ) bug. See #9988 vec3 vSigmaX = vec3( dFdx( surf_pos.x ), dFdx( surf_pos.y ), dFdx( surf_pos.z ) ); vec3 vSigmaY = vec3( dFdy( surf_pos.x ), dFdy( surf_pos.y ), dFdy( surf_pos.z ) ); vec3 vN = surf_norm; // normalized vec3 R1 = cross( vSigmaY, vN ); vec3 R2 = cross( vN, vSigmaX ); float fDet = dot( vSigmaX, R1 ) * faceDirection; vec3 vGrad = sign( fDet ) * ( dHdxy.x * R1 + dHdxy.y * R2 ); return normalize( abs( fDet ) * surf_norm - vGrad ); } #endif `,Qd=` #if NUM_CLIPPING_PLANES > 0 vec4 plane; #pragma unroll_loop_start for ( int i = 0; i < UNION_CLIPPING_PLANES; i ++ ) { plane = clippingPlanes[ i ]; if ( dot( vClipPosition, plane.xyz ) > plane.w ) discard; } #pragma unroll_loop_end #if UNION_CLIPPING_PLANES < NUM_CLIPPING_PLANES bool clipped = true; #pragma unroll_loop_start for ( int i = UNION_CLIPPING_PLANES; i < NUM_CLIPPING_PLANES; i ++ ) { plane = clippingPlanes[ i ]; clipped = ( dot( vClipPosition, plane.xyz ) > plane.w ) && clipped; } #pragma unroll_loop_end if ( clipped ) discard; #endif #endif `,ep=` #if NUM_CLIPPING_PLANES > 0 varying vec3 vClipPosition; uniform vec4 clippingPlanes[ NUM_CLIPPING_PLANES ]; #endif `,tp=` #if NUM_CLIPPING_PLANES > 0 varying vec3 vClipPosition; #endif `,ip=` #if NUM_CLIPPING_PLANES > 0 vClipPosition = - mvPosition.xyz; #endif `,np=` #if defined( USE_COLOR_ALPHA ) diffuseColor *= vColor; #elif defined( USE_COLOR ) diffuseColor.rgb *= vColor; #endif `,rp=` #if defined( USE_COLOR_ALPHA ) varying vec4 vColor; #elif defined( USE_COLOR ) varying vec3 vColor; #endif `,sp=` #if defined( USE_COLOR_ALPHA ) varying vec4 vColor; #elif defined( USE_COLOR ) || defined( USE_INSTANCING_COLOR ) varying vec3 vColor; #endif `,op=` #if defined( USE_COLOR_ALPHA ) vColor = vec4( 1.0 ); #elif defined( USE_COLOR ) || defined( USE_INSTANCING_COLOR ) vColor = vec3( 1.0 ); #endif #ifdef USE_COLOR vColor *= color; #endif #ifdef USE_INSTANCING_COLOR vColor.xyz *= instanceColor.xyz; #endif `,ap=` #define PI 3.141592653589793 #define PI2 6.283185307179586 #define PI_HALF 1.5707963267948966 #define RECIPROCAL_PI 0.3183098861837907 #define RECIPROCAL_PI2 0.15915494309189535 #define EPSILON 1e-6 #ifndef saturate // may have defined saturate() already #define saturate( a ) clamp( a, 0.0, 1.0 ) #endif #define whiteComplement( a ) ( 1.0 - saturate( a ) ) float pow2( const in float x ) { return x*x; } vec3 pow2( const in vec3 x ) { return x*x; } float pow3( const in float x ) { return x*x*x; } float pow4( const in float x ) { float x2 = x*x; return x2*x2; } float max3( const in vec3 v ) { return max( max( v.x, v.y ), v.z ); } float average( const in vec3 color ) { return dot( color, vec3( 0.3333 ) ); } // expects values in the range of [0,1]x[0,1], returns values in the [0,1] range. // do not collapse into a single function per: http://byteblacksmith.com/improvements-to-the-canonical-one-liner-glsl-rand-for-opengl-es-2-0/ highp float rand( const in vec2 uv ) { const highp float a = 12.9898, b = 78.233, c = 43758.5453; highp float dt = dot( uv.xy, vec2( a,b ) ), sn = mod( dt, PI ); return fract( sin( sn ) * c ); } #ifdef HIGH_PRECISION float precisionSafeLength( vec3 v ) { return length( v ); } #else float precisionSafeLength( vec3 v ) { float maxComponent = max3( abs( v ) ); return length( v / maxComponent ) * maxComponent; } #endif struct IncidentLight { vec3 color; vec3 direction; bool visible; }; struct ReflectedLight { vec3 directDiffuse; vec3 directSpecular; vec3 indirectDiffuse; vec3 indirectSpecular; }; struct GeometricContext { vec3 position; vec3 normal; vec3 viewDir; #ifdef USE_CLEARCOAT vec3 clearcoatNormal; #endif }; vec3 transformDirection( in vec3 dir, in mat4 matrix ) { return normalize( ( matrix * vec4( dir, 0.0 ) ).xyz ); } vec3 inverseTransformDirection( in vec3 dir, in mat4 matrix ) { // dir can be either a direction vector or a normal vector // upper-left 3x3 of matrix is assumed to be orthogonal return normalize( ( vec4( dir, 0.0 ) * matrix ).xyz ); } mat3 transposeMat3( const in mat3 m ) { mat3 tmp; tmp[ 0 ] = vec3( m[ 0 ].x, m[ 1 ].x, m[ 2 ].x ); tmp[ 1 ] = vec3( m[ 0 ].y, m[ 1 ].y, m[ 2 ].y ); tmp[ 2 ] = vec3( m[ 0 ].z, m[ 1 ].z, m[ 2 ].z ); return tmp; } // https://en.wikipedia.org/wiki/Relative_luminance float linearToRelativeLuminance( const in vec3 color ) { vec3 weights = vec3( 0.2126, 0.7152, 0.0722 ); return dot( weights, color.rgb ); } bool isPerspectiveMatrix( mat4 m ) { return m[ 2 ][ 3 ] == - 1.0; } vec2 equirectUv( in vec3 dir ) { // dir is assumed to be unit length float u = atan( dir.z, dir.x ) * RECIPROCAL_PI2 + 0.5; float v = asin( clamp( dir.y, - 1.0, 1.0 ) ) * RECIPROCAL_PI + 0.5; return vec2( u, v ); } `,lp=` #ifdef ENVMAP_TYPE_CUBE_UV #define cubeUV_minMipLevel 4.0 #define cubeUV_minTileSize 16.0 // These shader functions convert between the UV coordinates of a single face of // a cubemap, the 0-5 integer index of a cube face, and the direction vector for // sampling a textureCube (not generally normalized ). float getFace( vec3 direction ) { vec3 absDirection = abs( direction ); float face = - 1.0; if ( absDirection.x > absDirection.z ) { if ( absDirection.x > absDirection.y ) face = direction.x > 0.0 ? 0.0 : 3.0; else face = direction.y > 0.0 ? 1.0 : 4.0; } else { if ( absDirection.z > absDirection.y ) face = direction.z > 0.0 ? 2.0 : 5.0; else face = direction.y > 0.0 ? 1.0 : 4.0; } return face; } // RH coordinate system; PMREM face-indexing convention vec2 getUV( vec3 direction, float face ) { vec2 uv; if ( face == 0.0 ) { uv = vec2( direction.z, direction.y ) / abs( direction.x ); // pos x } else if ( face == 1.0 ) { uv = vec2( - direction.x, - direction.z ) / abs( direction.y ); // pos y } else if ( face == 2.0 ) { uv = vec2( - direction.x, direction.y ) / abs( direction.z ); // pos z } else if ( face == 3.0 ) { uv = vec2( - direction.z, direction.y ) / abs( direction.x ); // neg x } else if ( face == 4.0 ) { uv = vec2( - direction.x, direction.z ) / abs( direction.y ); // neg y } else { uv = vec2( direction.x, direction.y ) / abs( direction.z ); // neg z } return 0.5 * ( uv + 1.0 ); } vec3 bilinearCubeUV( sampler2D envMap, vec3 direction, float mipInt ) { float face = getFace( direction ); float filterInt = max( cubeUV_minMipLevel - mipInt, 0.0 ); mipInt = max( mipInt, cubeUV_minMipLevel ); float faceSize = exp2( mipInt ); vec2 uv = getUV( direction, face ) * ( faceSize - 2.0 ) + 1.0; if ( face > 2.0 ) { uv.y += faceSize; face -= 3.0; } uv.x += face * faceSize; uv.x += filterInt * 3.0 * cubeUV_minTileSize; uv.y += 4.0 * ( exp2( CUBEUV_MAX_MIP ) - faceSize ); uv.x *= CUBEUV_TEXEL_WIDTH; uv.y *= CUBEUV_TEXEL_HEIGHT; #ifdef texture2DGradEXT return texture2DGradEXT( envMap, uv, vec2( 0.0 ), vec2( 0.0 ) ).rgb; // disable anisotropic filtering #else return texture2D( envMap, uv ).rgb; #endif } // These defines must match with PMREMGenerator #define r0 1.0 #define v0 0.339 #define m0 - 2.0 #define r1 0.8 #define v1 0.276 #define m1 - 1.0 #define r4 0.4 #define v4 0.046 #define m4 2.0 #define r5 0.305 #define v5 0.016 #define m5 3.0 #define r6 0.21 #define v6 0.0038 #define m6 4.0 float roughnessToMip( float roughness ) { float mip = 0.0; if ( roughness >= r1 ) { mip = ( r0 - roughness ) * ( m1 - m0 ) / ( r0 - r1 ) + m0; } else if ( roughness >= r4 ) { mip = ( r1 - roughness ) * ( m4 - m1 ) / ( r1 - r4 ) + m1; } else if ( roughness >= r5 ) { mip = ( r4 - roughness ) * ( m5 - m4 ) / ( r4 - r5 ) + m4; } else if ( roughness >= r6 ) { mip = ( r5 - roughness ) * ( m6 - m5 ) / ( r5 - r6 ) + m5; } else { mip = - 2.0 * log2( 1.16 * roughness ); // 1.16 = 1.79^0.25 } return mip; } vec4 textureCubeUV( sampler2D envMap, vec3 sampleDir, float roughness ) { float mip = clamp( roughnessToMip( roughness ), m0, CUBEUV_MAX_MIP ); float mipF = fract( mip ); float mipInt = floor( mip ); vec3 color0 = bilinearCubeUV( envMap, sampleDir, mipInt ); if ( mipF == 0.0 ) { return vec4( color0, 1.0 ); } else { vec3 color1 = bilinearCubeUV( envMap, sampleDir, mipInt + 1.0 ); return vec4( mix( color0, color1, mipF ), 1.0 ); } } #endif `,cp=` vec3 transformedNormal = objectNormal; #ifdef USE_INSTANCING // this is in lieu of a per-instance normal-matrix // shear transforms in the instance matrix are not supported mat3 m = mat3( instanceMatrix ); transformedNormal /= vec3( dot( m[ 0 ], m[ 0 ] ), dot( m[ 1 ], m[ 1 ] ), dot( m[ 2 ], m[ 2 ] ) ); transformedNormal = m * transformedNormal; #endif transformedNormal = normalMatrix * transformedNormal; #ifdef FLIP_SIDED transformedNormal = - transformedNormal; #endif #ifdef USE_TANGENT vec3 transformedTangent = ( modelViewMatrix * vec4( objectTangent, 0.0 ) ).xyz; #ifdef FLIP_SIDED transformedTangent = - transformedTangent; #endif #endif `,up=` #ifdef USE_DISPLACEMENTMAP uniform sampler2D displacementMap; uniform float displacementScale; uniform float displacementBias; #endif `,hp=` #ifdef USE_DISPLACEMENTMAP transformed += normalize( objectNormal ) * ( texture2D( displacementMap, vUv ).x * displacementScale + displacementBias ); #endif `,fp=` #ifdef USE_EMISSIVEMAP vec4 emissiveColor = texture2D( emissiveMap, vUv ); totalEmissiveRadiance *= emissiveColor.rgb; #endif `,dp=` #ifdef USE_EMISSIVEMAP uniform sampler2D emissiveMap; #endif `,pp=` gl_FragColor = linearToOutputTexel( gl_FragColor ); `,mp=` vec4 LinearToLinear( in vec4 value ) { return value; } vec4 LinearTosRGB( in vec4 value ) { return vec4( mix( pow( value.rgb, vec3( 0.41666 ) ) * 1.055 - vec3( 0.055 ), value.rgb * 12.92, vec3( lessThanEqual( value.rgb, vec3( 0.0031308 ) ) ) ), value.a ); } `,_p=` #ifdef USE_ENVMAP #ifdef ENV_WORLDPOS vec3 cameraToFrag; if ( isOrthographic ) { cameraToFrag = normalize( vec3( - viewMatrix[ 0 ][ 2 ], - viewMatrix[ 1 ][ 2 ], - viewMatrix[ 2 ][ 2 ] ) ); } else { cameraToFrag = normalize( vWorldPosition - cameraPosition ); } // Transforming Normal Vectors with the Inverse Transformation vec3 worldNormal = inverseTransformDirection( normal, viewMatrix ); #ifdef ENVMAP_MODE_REFLECTION vec3 reflectVec = reflect( cameraToFrag, worldNormal ); #else vec3 reflectVec = refract( cameraToFrag, worldNormal, refractionRatio ); #endif #else vec3 reflectVec = vReflect; #endif #ifdef ENVMAP_TYPE_CUBE vec4 envColor = textureCube( envMap, vec3( flipEnvMap * reflectVec.x, reflectVec.yz ) ); #elif defined( ENVMAP_TYPE_CUBE_UV ) vec4 envColor = textureCubeUV( envMap, reflectVec, 0.0 ); #else vec4 envColor = vec4( 0.0 ); #endif #ifdef ENVMAP_BLENDING_MULTIPLY outgoingLight = mix( outgoingLight, outgoingLight * envColor.xyz, specularStrength * reflectivity ); #elif defined( ENVMAP_BLENDING_MIX ) outgoingLight = mix( outgoingLight, envColor.xyz, specularStrength * reflectivity ); #elif defined( ENVMAP_BLENDING_ADD ) outgoingLight += envColor.xyz * specularStrength * reflectivity; #endif #endif `,gp=` #ifdef USE_ENVMAP uniform float envMapIntensity; uniform float flipEnvMap; #ifdef ENVMAP_TYPE_CUBE uniform samplerCube envMap; #else uniform sampler2D envMap; #endif #endif `,xp=` #ifdef USE_ENVMAP uniform float reflectivity; #if defined( USE_BUMPMAP ) || defined( USE_NORMALMAP ) || defined( PHONG ) #define ENV_WORLDPOS #endif #ifdef ENV_WORLDPOS varying vec3 vWorldPosition; uniform float refractionRatio; #else varying vec3 vReflect; #endif #endif `,vp=` #ifdef USE_ENVMAP #if defined( USE_BUMPMAP ) || defined( USE_NORMALMAP ) ||defined( PHONG ) #define ENV_WORLDPOS #endif #ifdef ENV_WORLDPOS varying vec3 vWorldPosition; #else varying vec3 vReflect; uniform float refractionRatio; #endif #endif `,yp=` #ifdef USE_ENVMAP #ifdef ENV_WORLDPOS vWorldPosition = worldPosition.xyz; #else vec3 cameraToVertex; if ( isOrthographic ) { cameraToVertex = normalize( vec3( - viewMatrix[ 0 ][ 2 ], - viewMatrix[ 1 ][ 2 ], - viewMatrix[ 2 ][ 2 ] ) ); } else { cameraToVertex = normalize( worldPosition.xyz - cameraPosition ); } vec3 worldNormal = inverseTransformDirection( transformedNormal, viewMatrix ); #ifdef ENVMAP_MODE_REFLECTION vReflect = reflect( cameraToVertex, worldNormal ); #else vReflect = refract( cameraToVertex, worldNormal, refractionRatio ); #endif #endif #endif `,Sp=` #ifdef USE_FOG vFogDepth = - mvPosition.z; #endif `,Mp=` #ifdef USE_FOG varying float vFogDepth; #endif `,Ep=` #ifdef USE_FOG #ifdef FOG_EXP2 float fogFactor = 1.0 - exp( - fogDensity * fogDensity * vFogDepth * vFogDepth ); #else float fogFactor = smoothstep( fogNear, fogFar, vFogDepth ); #endif gl_FragColor.rgb = mix( gl_FragColor.rgb, fogColor, fogFactor ); #endif `,bp=` #ifdef USE_FOG uniform vec3 fogColor; varying float vFogDepth; #ifdef FOG_EXP2 uniform float fogDensity; #else uniform float fogNear; uniform float fogFar; #endif #endif `,wp=` #ifdef USE_GRADIENTMAP uniform sampler2D gradientMap; #endif vec3 getGradientIrradiance( vec3 normal, vec3 lightDirection ) { // dotNL will be from -1.0 to 1.0 float dotNL = dot( normal, lightDirection ); vec2 coord = vec2( dotNL * 0.5 + 0.5, 0.0 ); #ifdef USE_GRADIENTMAP return vec3( texture2D( gradientMap, coord ).r ); #else return ( coord.x < 0.7 ) ? vec3( 0.7 ) : vec3( 1.0 ); #endif } `,Tp=` #ifdef USE_LIGHTMAP vec4 lightMapTexel = texture2D( lightMap, vUv2 ); vec3 lightMapIrradiance = lightMapTexel.rgb * lightMapIntensity; reflectedLight.indirectDiffuse += lightMapIrradiance; #endif `,Ap=` #ifdef USE_LIGHTMAP uniform sampler2D lightMap; uniform float lightMapIntensity; #endif `,Rp=` vec3 diffuse = vec3( 1.0 ); GeometricContext geometry; geometry.position = mvPosition.xyz; geometry.normal = normalize( transformedNormal ); geometry.viewDir = ( isOrthographic ) ? vec3( 0, 0, 1 ) : normalize( -mvPosition.xyz ); GeometricContext backGeometry; backGeometry.position = geometry.position; backGeometry.normal = -geometry.normal; backGeometry.viewDir = geometry.viewDir; vLightFront = vec3( 0.0 ); vIndirectFront = vec3( 0.0 ); #ifdef DOUBLE_SIDED vLightBack = vec3( 0.0 ); vIndirectBack = vec3( 0.0 ); #endif IncidentLight directLight; float dotNL; vec3 directLightColor_Diffuse; vIndirectFront += getAmbientLightIrradiance( ambientLightColor ); vIndirectFront += getLightProbeIrradiance( lightProbe, geometry.normal ); #ifdef DOUBLE_SIDED vIndirectBack += getAmbientLightIrradiance( ambientLightColor ); vIndirectBack += getLightProbeIrradiance( lightProbe, backGeometry.normal ); #endif #if NUM_POINT_LIGHTS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_POINT_LIGHTS; i ++ ) { getPointLightInfo( pointLights[ i ], geometry, directLight ); dotNL = dot( geometry.normal, directLight.direction ); directLightColor_Diffuse = directLight.color; vLightFront += saturate( dotNL ) * directLightColor_Diffuse; #ifdef DOUBLE_SIDED vLightBack += saturate( - dotNL ) * directLightColor_Diffuse; #endif } #pragma unroll_loop_end #endif #if NUM_SPOT_LIGHTS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_SPOT_LIGHTS; i ++ ) { getSpotLightInfo( spotLights[ i ], geometry, directLight ); dotNL = dot( geometry.normal, directLight.direction ); directLightColor_Diffuse = directLight.color; vLightFront += saturate( dotNL ) * directLightColor_Diffuse; #ifdef DOUBLE_SIDED vLightBack += saturate( - dotNL ) * directLightColor_Diffuse; #endif } #pragma unroll_loop_end #endif #if NUM_DIR_LIGHTS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_DIR_LIGHTS; i ++ ) { getDirectionalLightInfo( directionalLights[ i ], geometry, directLight ); dotNL = dot( geometry.normal, directLight.direction ); directLightColor_Diffuse = directLight.color; vLightFront += saturate( dotNL ) * directLightColor_Diffuse; #ifdef DOUBLE_SIDED vLightBack += saturate( - dotNL ) * directLightColor_Diffuse; #endif } #pragma unroll_loop_end #endif #if NUM_HEMI_LIGHTS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_HEMI_LIGHTS; i ++ ) { vIndirectFront += getHemisphereLightIrradiance( hemisphereLights[ i ], geometry.normal ); #ifdef DOUBLE_SIDED vIndirectBack += getHemisphereLightIrradiance( hemisphereLights[ i ], backGeometry.normal ); #endif } #pragma unroll_loop_end #endif `,Cp=` uniform bool receiveShadow; uniform vec3 ambientLightColor; uniform vec3 lightProbe[ 9 ]; // get the irradiance (radiance convolved with cosine lobe) at the point 'normal' on the unit sphere // source: https://graphics.stanford.edu/papers/envmap/envmap.pdf vec3 shGetIrradianceAt( in vec3 normal, in vec3 shCoefficients[ 9 ] ) { // normal is assumed to have unit length float x = normal.x, y = normal.y, z = normal.z; // band 0 vec3 result = shCoefficients[ 0 ] * 0.886227; // band 1 result += shCoefficients[ 1 ] * 2.0 * 0.511664 * y; result += shCoefficients[ 2 ] * 2.0 * 0.511664 * z; result += shCoefficients[ 3 ] * 2.0 * 0.511664 * x; // band 2 result += shCoefficients[ 4 ] * 2.0 * 0.429043 * x * y; result += shCoefficients[ 5 ] * 2.0 * 0.429043 * y * z; result += shCoefficients[ 6 ] * ( 0.743125 * z * z - 0.247708 ); result += shCoefficients[ 7 ] * 2.0 * 0.429043 * x * z; result += shCoefficients[ 8 ] * 0.429043 * ( x * x - y * y ); return result; } vec3 getLightProbeIrradiance( const in vec3 lightProbe[ 9 ], const in vec3 normal ) { vec3 worldNormal = inverseTransformDirection( normal, viewMatrix ); vec3 irradiance = shGetIrradianceAt( worldNormal, lightProbe ); return irradiance; } vec3 getAmbientLightIrradiance( const in vec3 ambientLightColor ) { vec3 irradiance = ambientLightColor; return irradiance; } float getDistanceAttenuation( const in float lightDistance, const in float cutoffDistance, const in float decayExponent ) { #if defined ( PHYSICALLY_CORRECT_LIGHTS ) // based upon Frostbite 3 Moving to Physically-based Rendering // page 32, equation 26: E[window1] // https://seblagarde.files.wordpress.com/2015/07/course_notes_moving_frostbite_to_pbr_v32.pdf float distanceFalloff = 1.0 / max( pow( lightDistance, decayExponent ), 0.01 ); if ( cutoffDistance > 0.0 ) { distanceFalloff *= pow2( saturate( 1.0 - pow4( lightDistance / cutoffDistance ) ) ); } return distanceFalloff; #else if ( cutoffDistance > 0.0 && decayExponent > 0.0 ) { return pow( saturate( - lightDistance / cutoffDistance + 1.0 ), decayExponent ); } return 1.0; #endif } float getSpotAttenuation( const in float coneCosine, const in float penumbraCosine, const in float angleCosine ) { return smoothstep( coneCosine, penumbraCosine, angleCosine ); } #if NUM_DIR_LIGHTS > 0 struct DirectionalLight { vec3 direction; vec3 color; }; uniform DirectionalLight directionalLights[ NUM_DIR_LIGHTS ]; void getDirectionalLightInfo( const in DirectionalLight directionalLight, const in GeometricContext geometry, out IncidentLight light ) { light.color = directionalLight.color; light.direction = directionalLight.direction; light.visible = true; } #endif #if NUM_POINT_LIGHTS > 0 struct PointLight { vec3 position; vec3 color; float distance; float decay; }; uniform PointLight pointLights[ NUM_POINT_LIGHTS ]; // light is an out parameter as having it as a return value caused compiler errors on some devices void getPointLightInfo( const in PointLight pointLight, const in GeometricContext geometry, out IncidentLight light ) { vec3 lVector = pointLight.position - geometry.position; light.direction = normalize( lVector ); float lightDistance = length( lVector ); light.color = pointLight.color; light.color *= getDistanceAttenuation( lightDistance, pointLight.distance, pointLight.decay ); light.visible = ( light.color != vec3( 0.0 ) ); } #endif #if NUM_SPOT_LIGHTS > 0 struct SpotLight { vec3 position; vec3 direction; vec3 color; float distance; float decay; float coneCos; float penumbraCos; }; uniform SpotLight spotLights[ NUM_SPOT_LIGHTS ]; // light is an out parameter as having it as a return value caused compiler errors on some devices void getSpotLightInfo( const in SpotLight spotLight, const in GeometricContext geometry, out IncidentLight light ) { vec3 lVector = spotLight.position - geometry.position; light.direction = normalize( lVector ); float angleCos = dot( light.direction, spotLight.direction ); float spotAttenuation = getSpotAttenuation( spotLight.coneCos, spotLight.penumbraCos, angleCos ); if ( spotAttenuation > 0.0 ) { float lightDistance = length( lVector ); light.color = spotLight.color * spotAttenuation; light.color *= getDistanceAttenuation( lightDistance, spotLight.distance, spotLight.decay ); light.visible = ( light.color != vec3( 0.0 ) ); } else { light.color = vec3( 0.0 ); light.visible = false; } } #endif #if NUM_RECT_AREA_LIGHTS > 0 struct RectAreaLight { vec3 color; vec3 position; vec3 halfWidth; vec3 halfHeight; }; // Pre-computed values of LinearTransformedCosine approximation of BRDF // BRDF approximation Texture is 64x64 uniform sampler2D ltc_1; // RGBA Float uniform sampler2D ltc_2; // RGBA Float uniform RectAreaLight rectAreaLights[ NUM_RECT_AREA_LIGHTS ]; #endif #if NUM_HEMI_LIGHTS > 0 struct HemisphereLight { vec3 direction; vec3 skyColor; vec3 groundColor; }; uniform HemisphereLight hemisphereLights[ NUM_HEMI_LIGHTS ]; vec3 getHemisphereLightIrradiance( const in HemisphereLight hemiLight, const in vec3 normal ) { float dotNL = dot( normal, hemiLight.direction ); float hemiDiffuseWeight = 0.5 * dotNL + 0.5; vec3 irradiance = mix( hemiLight.groundColor, hemiLight.skyColor, hemiDiffuseWeight ); return irradiance; } #endif `,Pp=` #if defined( USE_ENVMAP ) vec3 getIBLIrradiance( const in vec3 normal ) { #if defined( ENVMAP_TYPE_CUBE_UV ) vec3 worldNormal = inverseTransformDirection( normal, viewMatrix ); vec4 envMapColor = textureCubeUV( envMap, worldNormal, 1.0 ); return PI * envMapColor.rgb * envMapIntensity; #else return vec3( 0.0 ); #endif } vec3 getIBLRadiance( const in vec3 viewDir, const in vec3 normal, const in float roughness ) { #if defined( ENVMAP_TYPE_CUBE_UV ) vec3 reflectVec = reflect( - viewDir, normal ); // Mixing the reflection with the normal is more accurate and keeps rough objects from gathering light from behind their tangent plane. reflectVec = normalize( mix( reflectVec, normal, roughness * roughness) ); reflectVec = inverseTransformDirection( reflectVec, viewMatrix ); vec4 envMapColor = textureCubeUV( envMap, reflectVec, roughness ); return envMapColor.rgb * envMapIntensity; #else return vec3( 0.0 ); #endif } #endif `,Lp=` ToonMaterial material; material.diffuseColor = diffuseColor.rgb; `,Dp=` varying vec3 vViewPosition; struct ToonMaterial { vec3 diffuseColor; }; void RE_Direct_Toon( const in IncidentLight directLight, const in GeometricContext geometry, const in ToonMaterial material, inout ReflectedLight reflectedLight ) { vec3 irradiance = getGradientIrradiance( geometry.normal, directLight.direction ) * directLight.color; reflectedLight.directDiffuse += irradiance * BRDF_Lambert( material.diffuseColor ); } void RE_IndirectDiffuse_Toon( const in vec3 irradiance, const in GeometricContext geometry, const in ToonMaterial material, inout ReflectedLight reflectedLight ) { reflectedLight.indirectDiffuse += irradiance * BRDF_Lambert( material.diffuseColor ); } #define RE_Direct RE_Direct_Toon #define RE_IndirectDiffuse RE_IndirectDiffuse_Toon #define Material_LightProbeLOD( material ) (0) `,Fp=` BlinnPhongMaterial material; material.diffuseColor = diffuseColor.rgb; material.specularColor = specular; material.specularShininess = shininess; material.specularStrength = specularStrength; `,Ip=` varying vec3 vViewPosition; struct BlinnPhongMaterial { vec3 diffuseColor; vec3 specularColor; float specularShininess; float specularStrength; }; void RE_Direct_BlinnPhong( const in IncidentLight directLight, const in GeometricContext geometry, const in BlinnPhongMaterial material, inout ReflectedLight reflectedLight ) { float dotNL = saturate( dot( geometry.normal, directLight.direction ) ); vec3 irradiance = dotNL * directLight.color; reflectedLight.directDiffuse += irradiance * BRDF_Lambert( material.diffuseColor ); reflectedLight.directSpecular += irradiance * BRDF_BlinnPhong( directLight.direction, geometry.viewDir, geometry.normal, material.specularColor, material.specularShininess ) * material.specularStrength; } void RE_IndirectDiffuse_BlinnPhong( const in vec3 irradiance, const in GeometricContext geometry, const in BlinnPhongMaterial material, inout ReflectedLight reflectedLight ) { reflectedLight.indirectDiffuse += irradiance * BRDF_Lambert( material.diffuseColor ); } #define RE_Direct RE_Direct_BlinnPhong #define RE_IndirectDiffuse RE_IndirectDiffuse_BlinnPhong #define Material_LightProbeLOD( material ) (0) `,Np=` PhysicalMaterial material; material.diffuseColor = diffuseColor.rgb * ( 1.0 - metalnessFactor ); vec3 dxy = max( abs( dFdx( geometryNormal ) ), abs( dFdy( geometryNormal ) ) ); float geometryRoughness = max( max( dxy.x, dxy.y ), dxy.z ); material.roughness = max( roughnessFactor, 0.0525 );// 0.0525 corresponds to the base mip of a 256 cubemap. material.roughness += geometryRoughness; material.roughness = min( material.roughness, 1.0 ); #ifdef IOR #ifdef SPECULAR float specularIntensityFactor = specularIntensity; vec3 specularColorFactor = specularColor; #ifdef USE_SPECULARINTENSITYMAP specularIntensityFactor *= texture2D( specularIntensityMap, vUv ).a; #endif #ifdef USE_SPECULARCOLORMAP specularColorFactor *= texture2D( specularColorMap, vUv ).rgb; #endif material.specularF90 = mix( specularIntensityFactor, 1.0, metalnessFactor ); #else float specularIntensityFactor = 1.0; vec3 specularColorFactor = vec3( 1.0 ); material.specularF90 = 1.0; #endif material.specularColor = mix( min( pow2( ( ior - 1.0 ) / ( ior + 1.0 ) ) * specularColorFactor, vec3( 1.0 ) ) * specularIntensityFactor, diffuseColor.rgb, metalnessFactor ); #else material.specularColor = mix( vec3( 0.04 ), diffuseColor.rgb, metalnessFactor ); material.specularF90 = 1.0; #endif #ifdef USE_CLEARCOAT material.clearcoat = clearcoat; material.clearcoatRoughness = clearcoatRoughness; material.clearcoatF0 = vec3( 0.04 ); material.clearcoatF90 = 1.0; #ifdef USE_CLEARCOATMAP material.clearcoat *= texture2D( clearcoatMap, vUv ).x; #endif #ifdef USE_CLEARCOAT_ROUGHNESSMAP material.clearcoatRoughness *= texture2D( clearcoatRoughnessMap, vUv ).y; #endif material.clearcoat = saturate( material.clearcoat ); // Burley clearcoat model material.clearcoatRoughness = max( material.clearcoatRoughness, 0.0525 ); material.clearcoatRoughness += geometryRoughness; material.clearcoatRoughness = min( material.clearcoatRoughness, 1.0 ); #endif #ifdef USE_IRIDESCENCE material.iridescence = iridescence; material.iridescenceIOR = iridescenceIOR; #ifdef USE_IRIDESCENCEMAP material.iridescence *= texture2D( iridescenceMap, vUv ).r; #endif #ifdef USE_IRIDESCENCE_THICKNESSMAP material.iridescenceThickness = (iridescenceThicknessMaximum - iridescenceThicknessMinimum) * texture2D( iridescenceThicknessMap, vUv ).g + iridescenceThicknessMinimum; #else material.iridescenceThickness = iridescenceThicknessMaximum; #endif #endif #ifdef USE_SHEEN material.sheenColor = sheenColor; #ifdef USE_SHEENCOLORMAP material.sheenColor *= texture2D( sheenColorMap, vUv ).rgb; #endif material.sheenRoughness = clamp( sheenRoughness, 0.07, 1.0 ); #ifdef USE_SHEENROUGHNESSMAP material.sheenRoughness *= texture2D( sheenRoughnessMap, vUv ).a; #endif #endif `,Op=` struct PhysicalMaterial { vec3 diffuseColor; float roughness; vec3 specularColor; float specularF90; #ifdef USE_CLEARCOAT float clearcoat; float clearcoatRoughness; vec3 clearcoatF0; float clearcoatF90; #endif #ifdef USE_IRIDESCENCE float iridescence; float iridescenceIOR; float iridescenceThickness; vec3 iridescenceFresnel; vec3 iridescenceF0; #endif #ifdef USE_SHEEN vec3 sheenColor; float sheenRoughness; #endif }; // temporary vec3 clearcoatSpecular = vec3( 0.0 ); vec3 sheenSpecular = vec3( 0.0 ); // This is a curve-fit approxmation to the "Charlie sheen" BRDF integrated over the hemisphere from // Estevez and Kulla 2017, "Production Friendly Microfacet Sheen BRDF". The analysis can be found // in the Sheen section of https://drive.google.com/file/d/1T0D1VSyR4AllqIJTQAraEIzjlb5h4FKH/view?usp=sharing float IBLSheenBRDF( const in vec3 normal, const in vec3 viewDir, const in float roughness) { float dotNV = saturate( dot( normal, viewDir ) ); float r2 = roughness * roughness; float a = roughness < 0.25 ? -339.2 * r2 + 161.4 * roughness - 25.9 : -8.48 * r2 + 14.3 * roughness - 9.95; float b = roughness < 0.25 ? 44.0 * r2 - 23.7 * roughness + 3.26 : 1.97 * r2 - 3.27 * roughness + 0.72; float DG = exp( a * dotNV + b ) + ( roughness < 0.25 ? 0.0 : 0.1 * ( roughness - 0.25 ) ); return saturate( DG * RECIPROCAL_PI ); } // Analytical approximation of the DFG LUT, one half of the // split-sum approximation used in indirect specular lighting. // via 'environmentBRDF' from "Physically Based Shading on Mobile" // https://www.unrealengine.com/blog/physically-based-shading-on-mobile vec2 DFGApprox( const in vec3 normal, const in vec3 viewDir, const in float roughness ) { float dotNV = saturate( dot( normal, viewDir ) ); const vec4 c0 = vec4( - 1, - 0.0275, - 0.572, 0.022 ); const vec4 c1 = vec4( 1, 0.0425, 1.04, - 0.04 ); vec4 r = roughness * c0 + c1; float a004 = min( r.x * r.x, exp2( - 9.28 * dotNV ) ) * r.x + r.y; vec2 fab = vec2( - 1.04, 1.04 ) * a004 + r.zw; return fab; } vec3 EnvironmentBRDF( const in vec3 normal, const in vec3 viewDir, const in vec3 specularColor, const in float specularF90, const in float roughness ) { vec2 fab = DFGApprox( normal, viewDir, roughness ); return specularColor * fab.x + specularF90 * fab.y; } // Fdez-Ag\xFCera's "Multiple-Scattering Microfacet Model for Real-Time Image Based Lighting" // Approximates multiscattering in order to preserve energy. // http://www.jcgt.org/published/0008/01/03/ #ifdef USE_IRIDESCENCE void computeMultiscatteringIridescence( const in vec3 normal, const in vec3 viewDir, const in vec3 specularColor, const in float specularF90, const in float iridescence, const in vec3 iridescenceF0, const in float roughness, inout vec3 singleScatter, inout vec3 multiScatter ) { #else void computeMultiscattering( const in vec3 normal, const in vec3 viewDir, const in vec3 specularColor, const in float specularF90, const in float roughness, inout vec3 singleScatter, inout vec3 multiScatter ) { #endif vec2 fab = DFGApprox( normal, viewDir, roughness ); #ifdef USE_IRIDESCENCE vec3 Fr = mix( specularColor, iridescenceF0, iridescence ); #else vec3 Fr = specularColor; #endif vec3 FssEss = Fr * fab.x + specularF90 * fab.y; float Ess = fab.x + fab.y; float Ems = 1.0 - Ess; vec3 Favg = Fr + ( 1.0 - Fr ) * 0.047619; // 1/21 vec3 Fms = FssEss * Favg / ( 1.0 - Ems * Favg ); singleScatter += FssEss; multiScatter += Fms * Ems; } #if NUM_RECT_AREA_LIGHTS > 0 void RE_Direct_RectArea_Physical( const in RectAreaLight rectAreaLight, const in GeometricContext geometry, const in PhysicalMaterial material, inout ReflectedLight reflectedLight ) { vec3 normal = geometry.normal; vec3 viewDir = geometry.viewDir; vec3 position = geometry.position; vec3 lightPos = rectAreaLight.position; vec3 halfWidth = rectAreaLight.halfWidth; vec3 halfHeight = rectAreaLight.halfHeight; vec3 lightColor = rectAreaLight.color; float roughness = material.roughness; vec3 rectCoords[ 4 ]; rectCoords[ 0 ] = lightPos + halfWidth - halfHeight; // counterclockwise; light shines in local neg z direction rectCoords[ 1 ] = lightPos - halfWidth - halfHeight; rectCoords[ 2 ] = lightPos - halfWidth + halfHeight; rectCoords[ 3 ] = lightPos + halfWidth + halfHeight; vec2 uv = LTC_Uv( normal, viewDir, roughness ); vec4 t1 = texture2D( ltc_1, uv ); vec4 t2 = texture2D( ltc_2, uv ); mat3 mInv = mat3( vec3( t1.x, 0, t1.y ), vec3( 0, 1, 0 ), vec3( t1.z, 0, t1.w ) ); // LTC Fresnel Approximation by Stephen Hill // http://blog.selfshadow.com/publications/s2016-advances/s2016_ltc_fresnel.pdf vec3 fresnel = ( material.specularColor * t2.x + ( vec3( 1.0 ) - material.specularColor ) * t2.y ); reflectedLight.directSpecular += lightColor * fresnel * LTC_Evaluate( normal, viewDir, position, mInv, rectCoords ); reflectedLight.directDiffuse += lightColor * material.diffuseColor * LTC_Evaluate( normal, viewDir, position, mat3( 1.0 ), rectCoords ); } #endif void RE_Direct_Physical( const in IncidentLight directLight, const in GeometricContext geometry, const in PhysicalMaterial material, inout ReflectedLight reflectedLight ) { float dotNL = saturate( dot( geometry.normal, directLight.direction ) ); vec3 irradiance = dotNL * directLight.color; #ifdef USE_CLEARCOAT float dotNLcc = saturate( dot( geometry.clearcoatNormal, directLight.direction ) ); vec3 ccIrradiance = dotNLcc * directLight.color; clearcoatSpecular += ccIrradiance * BRDF_GGX( directLight.direction, geometry.viewDir, geometry.clearcoatNormal, material.clearcoatF0, material.clearcoatF90, material.clearcoatRoughness ); #endif #ifdef USE_SHEEN sheenSpecular += irradiance * BRDF_Sheen( directLight.direction, geometry.viewDir, geometry.normal, material.sheenColor, material.sheenRoughness ); #endif #ifdef USE_IRIDESCENCE reflectedLight.directSpecular += irradiance * BRDF_GGX_Iridescence( directLight.direction, geometry.viewDir, geometry.normal, material.specularColor, material.specularF90, material.iridescence, material.iridescenceFresnel, material.roughness ); #else reflectedLight.directSpecular += irradiance * BRDF_GGX( directLight.direction, geometry.viewDir, geometry.normal, material.specularColor, material.specularF90, material.roughness ); #endif reflectedLight.directDiffuse += irradiance * BRDF_Lambert( material.diffuseColor ); } void RE_IndirectDiffuse_Physical( const in vec3 irradiance, const in GeometricContext geometry, const in PhysicalMaterial material, inout ReflectedLight reflectedLight ) { reflectedLight.indirectDiffuse += irradiance * BRDF_Lambert( material.diffuseColor ); } void RE_IndirectSpecular_Physical( const in vec3 radiance, const in vec3 irradiance, const in vec3 clearcoatRadiance, const in GeometricContext geometry, const in PhysicalMaterial material, inout ReflectedLight reflectedLight) { #ifdef USE_CLEARCOAT clearcoatSpecular += clearcoatRadiance * EnvironmentBRDF( geometry.clearcoatNormal, geometry.viewDir, material.clearcoatF0, material.clearcoatF90, material.clearcoatRoughness ); #endif #ifdef USE_SHEEN sheenSpecular += irradiance * material.sheenColor * IBLSheenBRDF( geometry.normal, geometry.viewDir, material.sheenRoughness ); #endif // Both indirect specular and indirect diffuse light accumulate here vec3 singleScattering = vec3( 0.0 ); vec3 multiScattering = vec3( 0.0 ); vec3 cosineWeightedIrradiance = irradiance * RECIPROCAL_PI; #ifdef USE_IRIDESCENCE computeMultiscatteringIridescence( geometry.normal, geometry.viewDir, material.specularColor, material.specularF90, material.iridescence, material.iridescenceFresnel, material.roughness, singleScattering, multiScattering ); #else computeMultiscattering( geometry.normal, geometry.viewDir, material.specularColor, material.specularF90, material.roughness, singleScattering, multiScattering ); #endif vec3 totalScattering = singleScattering + multiScattering; vec3 diffuse = material.diffuseColor * ( 1.0 - max( max( totalScattering.r, totalScattering.g ), totalScattering.b ) ); reflectedLight.indirectSpecular += radiance * singleScattering; reflectedLight.indirectSpecular += multiScattering * cosineWeightedIrradiance; reflectedLight.indirectDiffuse += diffuse * cosineWeightedIrradiance; } #define RE_Direct RE_Direct_Physical #define RE_Direct_RectArea RE_Direct_RectArea_Physical #define RE_IndirectDiffuse RE_IndirectDiffuse_Physical #define RE_IndirectSpecular RE_IndirectSpecular_Physical // ref: https://seblagarde.files.wordpress.com/2015/07/course_notes_moving_frostbite_to_pbr_v32.pdf float computeSpecularOcclusion( const in float dotNV, const in float ambientOcclusion, const in float roughness ) { return saturate( pow( dotNV + ambientOcclusion, exp2( - 16.0 * roughness - 1.0 ) ) - 1.0 + ambientOcclusion ); } `,Up=` /** * This is a template that can be used to light a material, it uses pluggable * RenderEquations (RE)for specific lighting scenarios. * * Instructions for use: * - Ensure that both RE_Direct, RE_IndirectDiffuse and RE_IndirectSpecular are defined * - If you have defined an RE_IndirectSpecular, you need to also provide a Material_LightProbeLOD. <---- ??? * - Create a material parameter that is to be passed as the third parameter to your lighting functions. * * TODO: * - Add area light support. * - Add sphere light support. * - Add diffuse light probe (irradiance cubemap) support. */ GeometricContext geometry; geometry.position = - vViewPosition; geometry.normal = normal; geometry.viewDir = ( isOrthographic ) ? vec3( 0, 0, 1 ) : normalize( vViewPosition ); #ifdef USE_CLEARCOAT geometry.clearcoatNormal = clearcoatNormal; #endif #ifdef USE_IRIDESCENCE float dotNVi = saturate( dot( normal, geometry.viewDir ) ); if ( material.iridescenceThickness == 0.0 ) { material.iridescence = 0.0; } else { material.iridescence = saturate( material.iridescence ); } if ( material.iridescence > 0.0 ) { material.iridescenceFresnel = evalIridescence( 1.0, material.iridescenceIOR, dotNVi, material.iridescenceThickness, material.specularColor ); // Iridescence F0 approximation material.iridescenceF0 = Schlick_to_F0( material.iridescenceFresnel, 1.0, dotNVi ); } #endif IncidentLight directLight; #if ( NUM_POINT_LIGHTS > 0 ) && defined( RE_Direct ) PointLight pointLight; #if defined( USE_SHADOWMAP ) && NUM_POINT_LIGHT_SHADOWS > 0 PointLightShadow pointLightShadow; #endif #pragma unroll_loop_start for ( int i = 0; i < NUM_POINT_LIGHTS; i ++ ) { pointLight = pointLights[ i ]; getPointLightInfo( pointLight, geometry, directLight ); #if defined( USE_SHADOWMAP ) && ( UNROLLED_LOOP_INDEX < NUM_POINT_LIGHT_SHADOWS ) pointLightShadow = pointLightShadows[ i ]; directLight.color *= all( bvec2( directLight.visible, receiveShadow ) ) ? getPointShadow( pointShadowMap[ i ], pointLightShadow.shadowMapSize, pointLightShadow.shadowBias, pointLightShadow.shadowRadius, vPointShadowCoord[ i ], pointLightShadow.shadowCameraNear, pointLightShadow.shadowCameraFar ) : 1.0; #endif RE_Direct( directLight, geometry, material, reflectedLight ); } #pragma unroll_loop_end #endif #if ( NUM_SPOT_LIGHTS > 0 ) && defined( RE_Direct ) SpotLight spotLight; #if defined( USE_SHADOWMAP ) && NUM_SPOT_LIGHT_SHADOWS > 0 SpotLightShadow spotLightShadow; #endif #pragma unroll_loop_start for ( int i = 0; i < NUM_SPOT_LIGHTS; i ++ ) { spotLight = spotLights[ i ]; getSpotLightInfo( spotLight, geometry, directLight ); #if defined( USE_SHADOWMAP ) && ( UNROLLED_LOOP_INDEX < NUM_SPOT_LIGHT_SHADOWS ) spotLightShadow = spotLightShadows[ i ]; directLight.color *= all( bvec2( directLight.visible, receiveShadow ) ) ? getShadow( spotShadowMap[ i ], spotLightShadow.shadowMapSize, spotLightShadow.shadowBias, spotLightShadow.shadowRadius, vSpotShadowCoord[ i ] ) : 1.0; #endif RE_Direct( directLight, geometry, material, reflectedLight ); } #pragma unroll_loop_end #endif #if ( NUM_DIR_LIGHTS > 0 ) && defined( RE_Direct ) DirectionalLight directionalLight; #if defined( USE_SHADOWMAP ) && NUM_DIR_LIGHT_SHADOWS > 0 DirectionalLightShadow directionalLightShadow; #endif #pragma unroll_loop_start for ( int i = 0; i < NUM_DIR_LIGHTS; i ++ ) { directionalLight = directionalLights[ i ]; getDirectionalLightInfo( directionalLight, geometry, directLight ); #if defined( USE_SHADOWMAP ) && ( UNROLLED_LOOP_INDEX < NUM_DIR_LIGHT_SHADOWS ) directionalLightShadow = directionalLightShadows[ i ]; directLight.color *= all( bvec2( directLight.visible, receiveShadow ) ) ? getShadow( directionalShadowMap[ i ], directionalLightShadow.shadowMapSize, directionalLightShadow.shadowBias, directionalLightShadow.shadowRadius, vDirectionalShadowCoord[ i ] ) : 1.0; #endif RE_Direct( directLight, geometry, material, reflectedLight ); } #pragma unroll_loop_end #endif #if ( NUM_RECT_AREA_LIGHTS > 0 ) && defined( RE_Direct_RectArea ) RectAreaLight rectAreaLight; #pragma unroll_loop_start for ( int i = 0; i < NUM_RECT_AREA_LIGHTS; i ++ ) { rectAreaLight = rectAreaLights[ i ]; RE_Direct_RectArea( rectAreaLight, geometry, material, reflectedLight ); } #pragma unroll_loop_end #endif #if defined( RE_IndirectDiffuse ) vec3 iblIrradiance = vec3( 0.0 ); vec3 irradiance = getAmbientLightIrradiance( ambientLightColor ); irradiance += getLightProbeIrradiance( lightProbe, geometry.normal ); #if ( NUM_HEMI_LIGHTS > 0 ) #pragma unroll_loop_start for ( int i = 0; i < NUM_HEMI_LIGHTS; i ++ ) { irradiance += getHemisphereLightIrradiance( hemisphereLights[ i ], geometry.normal ); } #pragma unroll_loop_end #endif #endif #if defined( RE_IndirectSpecular ) vec3 radiance = vec3( 0.0 ); vec3 clearcoatRadiance = vec3( 0.0 ); #endif `,zp=` #if defined( RE_IndirectDiffuse ) #ifdef USE_LIGHTMAP vec4 lightMapTexel = texture2D( lightMap, vUv2 ); vec3 lightMapIrradiance = lightMapTexel.rgb * lightMapIntensity; irradiance += lightMapIrradiance; #endif #if defined( USE_ENVMAP ) && defined( STANDARD ) && defined( ENVMAP_TYPE_CUBE_UV ) iblIrradiance += getIBLIrradiance( geometry.normal ); #endif #endif #if defined( USE_ENVMAP ) && defined( RE_IndirectSpecular ) radiance += getIBLRadiance( geometry.viewDir, geometry.normal, material.roughness ); #ifdef USE_CLEARCOAT clearcoatRadiance += getIBLRadiance( geometry.viewDir, geometry.clearcoatNormal, material.clearcoatRoughness ); #endif #endif `,Bp=` #if defined( RE_IndirectDiffuse ) RE_IndirectDiffuse( irradiance, geometry, material, reflectedLight ); #endif #if defined( RE_IndirectSpecular ) RE_IndirectSpecular( radiance, iblIrradiance, clearcoatRadiance, geometry, material, reflectedLight ); #endif `,Gp=` #if defined( USE_LOGDEPTHBUF ) && defined( USE_LOGDEPTHBUF_EXT ) // Doing a strict comparison with == 1.0 can cause noise artifacts // on some platforms. See issue #17623. gl_FragDepthEXT = vIsPerspective == 0.0 ? gl_FragCoord.z : log2( vFragDepth ) * logDepthBufFC * 0.5; #endif `,kp=` #if defined( USE_LOGDEPTHBUF ) && defined( USE_LOGDEPTHBUF_EXT ) uniform float logDepthBufFC; varying float vFragDepth; varying float vIsPerspective; #endif `,Hp=` #ifdef USE_LOGDEPTHBUF #ifdef USE_LOGDEPTHBUF_EXT varying float vFragDepth; varying float vIsPerspective; #else uniform float logDepthBufFC; #endif #endif `,Vp=` #ifdef USE_LOGDEPTHBUF #ifdef USE_LOGDEPTHBUF_EXT vFragDepth = 1.0 + gl_Position.w; vIsPerspective = float( isPerspectiveMatrix( projectionMatrix ) ); #else if ( isPerspectiveMatrix( projectionMatrix ) ) { gl_Position.z = log2( max( EPSILON, gl_Position.w + 1.0 ) ) * logDepthBufFC - 1.0; gl_Position.z *= gl_Position.w; } #endif #endif `,Wp=` #ifdef USE_MAP vec4 sampledDiffuseColor = texture2D( map, vUv ); #ifdef DECODE_VIDEO_TEXTURE // inline sRGB decode (TODO: Remove this code when https://crbug.com/1256340 is solved) sampledDiffuseColor = vec4( mix( pow( sampledDiffuseColor.rgb * 0.9478672986 + vec3( 0.0521327014 ), vec3( 2.4 ) ), sampledDiffuseColor.rgb * 0.0773993808, vec3( lessThanEqual( sampledDiffuseColor.rgb, vec3( 0.04045 ) ) ) ), sampledDiffuseColor.w ); #endif diffuseColor *= sampledDiffuseColor; #endif `,Xp=` #ifdef USE_MAP uniform sampler2D map; #endif `,qp=` #if defined( USE_MAP ) || defined( USE_ALPHAMAP ) vec2 uv = ( uvTransform * vec3( gl_PointCoord.x, 1.0 - gl_PointCoord.y, 1 ) ).xy; #endif #ifdef USE_MAP diffuseColor *= texture2D( map, uv ); #endif #ifdef USE_ALPHAMAP diffuseColor.a *= texture2D( alphaMap, uv ).g; #endif `,Yp=` #if defined( USE_MAP ) || defined( USE_ALPHAMAP ) uniform mat3 uvTransform; #endif #ifdef USE_MAP uniform sampler2D map; #endif #ifdef USE_ALPHAMAP uniform sampler2D alphaMap; #endif `,Zp=` float metalnessFactor = metalness; #ifdef USE_METALNESSMAP vec4 texelMetalness = texture2D( metalnessMap, vUv ); // reads channel B, compatible with a combined OcclusionRoughnessMetallic (RGB) texture metalnessFactor *= texelMetalness.b; #endif `,Jp=` #ifdef USE_METALNESSMAP uniform sampler2D metalnessMap; #endif `,Kp=` #if defined( USE_MORPHCOLORS ) && defined( MORPHTARGETS_TEXTURE ) // morphTargetBaseInfluence is set based on BufferGeometry.morphTargetsRelative value: // When morphTargetsRelative is false, this is set to 1 - sum(influences); this results in normal = sum((target - base) * influence) // When morphTargetsRelative is true, this is set to 1; as a result, all morph targets are simply added to the base after weighting vColor *= morphTargetBaseInfluence; for ( int i = 0; i < MORPHTARGETS_COUNT; i ++ ) { #if defined( USE_COLOR_ALPHA ) if ( morphTargetInfluences[ i ] != 0.0 ) vColor += getMorph( gl_VertexID, i, 2 ) * morphTargetInfluences[ i ]; #elif defined( USE_COLOR ) if ( morphTargetInfluences[ i ] != 0.0 ) vColor += getMorph( gl_VertexID, i, 2 ).rgb * morphTargetInfluences[ i ]; #endif } #endif `,jp=` #ifdef USE_MORPHNORMALS // morphTargetBaseInfluence is set based on BufferGeometry.morphTargetsRelative value: // When morphTargetsRelative is false, this is set to 1 - sum(influences); this results in normal = sum((target - base) * influence) // When morphTargetsRelative is true, this is set to 1; as a result, all morph targets are simply added to the base after weighting objectNormal *= morphTargetBaseInfluence; #ifdef MORPHTARGETS_TEXTURE for ( int i = 0; i < MORPHTARGETS_COUNT; i ++ ) { if ( morphTargetInfluences[ i ] != 0.0 ) objectNormal += getMorph( gl_VertexID, i, 1 ).xyz * morphTargetInfluences[ i ]; } #else objectNormal += morphNormal0 * morphTargetInfluences[ 0 ]; objectNormal += morphNormal1 * morphTargetInfluences[ 1 ]; objectNormal += morphNormal2 * morphTargetInfluences[ 2 ]; objectNormal += morphNormal3 * morphTargetInfluences[ 3 ]; #endif #endif `,$p=` #ifdef USE_MORPHTARGETS uniform float morphTargetBaseInfluence; #ifdef MORPHTARGETS_TEXTURE uniform float morphTargetInfluences[ MORPHTARGETS_COUNT ]; uniform sampler2DArray morphTargetsTexture; uniform ivec2 morphTargetsTextureSize; vec4 getMorph( const in int vertexIndex, const in int morphTargetIndex, const in int offset ) { int texelIndex = vertexIndex * MORPHTARGETS_TEXTURE_STRIDE + offset; int y = texelIndex / morphTargetsTextureSize.x; int x = texelIndex - y * morphTargetsTextureSize.x; ivec3 morphUV = ivec3( x, y, morphTargetIndex ); return texelFetch( morphTargetsTexture, morphUV, 0 ); } #else #ifndef USE_MORPHNORMALS uniform float morphTargetInfluences[ 8 ]; #else uniform float morphTargetInfluences[ 4 ]; #endif #endif #endif `,Qp=` #ifdef USE_MORPHTARGETS // morphTargetBaseInfluence is set based on BufferGeometry.morphTargetsRelative value: // When morphTargetsRelative is false, this is set to 1 - sum(influences); this results in position = sum((target - base) * influence) // When morphTargetsRelative is true, this is set to 1; as a result, all morph targets are simply added to the base after weighting transformed *= morphTargetBaseInfluence; #ifdef MORPHTARGETS_TEXTURE for ( int i = 0; i < MORPHTARGETS_COUNT; i ++ ) { if ( morphTargetInfluences[ i ] != 0.0 ) transformed += getMorph( gl_VertexID, i, 0 ).xyz * morphTargetInfluences[ i ]; } #else transformed += morphTarget0 * morphTargetInfluences[ 0 ]; transformed += morphTarget1 * morphTargetInfluences[ 1 ]; transformed += morphTarget2 * morphTargetInfluences[ 2 ]; transformed += morphTarget3 * morphTargetInfluences[ 3 ]; #ifndef USE_MORPHNORMALS transformed += morphTarget4 * morphTargetInfluences[ 4 ]; transformed += morphTarget5 * morphTargetInfluences[ 5 ]; transformed += morphTarget6 * morphTargetInfluences[ 6 ]; transformed += morphTarget7 * morphTargetInfluences[ 7 ]; #endif #endif #endif `,em=` float faceDirection = gl_FrontFacing ? 1.0 : - 1.0; #ifdef FLAT_SHADED // Workaround for Adreno GPUs not able to do dFdx( vViewPosition ) vec3 fdx = vec3( dFdx( vViewPosition.x ), dFdx( vViewPosition.y ), dFdx( vViewPosition.z ) ); vec3 fdy = vec3( dFdy( vViewPosition.x ), dFdy( vViewPosition.y ), dFdy( vViewPosition.z ) ); vec3 normal = normalize( cross( fdx, fdy ) ); #else vec3 normal = normalize( vNormal ); #ifdef DOUBLE_SIDED normal = normal * faceDirection; #endif #ifdef USE_TANGENT vec3 tangent = normalize( vTangent ); vec3 bitangent = normalize( vBitangent ); #ifdef DOUBLE_SIDED tangent = tangent * faceDirection; bitangent = bitangent * faceDirection; #endif #if defined( TANGENTSPACE_NORMALMAP ) || defined( USE_CLEARCOAT_NORMALMAP ) mat3 vTBN = mat3( tangent, bitangent, normal ); #endif #endif #endif // non perturbed normal for clearcoat among others vec3 geometryNormal = normal; `,tm=` #ifdef OBJECTSPACE_NORMALMAP normal = texture2D( normalMap, vUv ).xyz * 2.0 - 1.0; // overrides both flatShading and attribute normals #ifdef FLIP_SIDED normal = - normal; #endif #ifdef DOUBLE_SIDED normal = normal * faceDirection; #endif normal = normalize( normalMatrix * normal ); #elif defined( TANGENTSPACE_NORMALMAP ) vec3 mapN = texture2D( normalMap, vUv ).xyz * 2.0 - 1.0; mapN.xy *= normalScale; #ifdef USE_TANGENT normal = normalize( vTBN * mapN ); #else normal = perturbNormal2Arb( - vViewPosition, normal, mapN, faceDirection ); #endif #elif defined( USE_BUMPMAP ) normal = perturbNormalArb( - vViewPosition, normal, dHdxy_fwd(), faceDirection ); #endif `,im=` #ifndef FLAT_SHADED varying vec3 vNormal; #ifdef USE_TANGENT varying vec3 vTangent; varying vec3 vBitangent; #endif #endif `,nm=` #ifndef FLAT_SHADED varying vec3 vNormal; #ifdef USE_TANGENT varying vec3 vTangent; varying vec3 vBitangent; #endif #endif `,rm=` #ifndef FLAT_SHADED // normal is computed with derivatives when FLAT_SHADED vNormal = normalize( transformedNormal ); #ifdef USE_TANGENT vTangent = normalize( transformedTangent ); vBitangent = normalize( cross( vNormal, vTangent ) * tangent.w ); #endif #endif `,sm=` #ifdef USE_NORMALMAP uniform sampler2D normalMap; uniform vec2 normalScale; #endif #ifdef OBJECTSPACE_NORMALMAP uniform mat3 normalMatrix; #endif #if ! defined ( USE_TANGENT ) && ( defined ( TANGENTSPACE_NORMALMAP ) || defined ( USE_CLEARCOAT_NORMALMAP ) ) // Normal Mapping Without Precomputed Tangents // http://www.thetenthplanet.de/archives/1180 vec3 perturbNormal2Arb( vec3 eye_pos, vec3 surf_norm, vec3 mapN, float faceDirection ) { // Workaround for Adreno 3XX dFd*( vec3 ) bug. See #9988 vec3 q0 = vec3( dFdx( eye_pos.x ), dFdx( eye_pos.y ), dFdx( eye_pos.z ) ); vec3 q1 = vec3( dFdy( eye_pos.x ), dFdy( eye_pos.y ), dFdy( eye_pos.z ) ); vec2 st0 = dFdx( vUv.st ); vec2 st1 = dFdy( vUv.st ); vec3 N = surf_norm; // normalized vec3 q1perp = cross( q1, N ); vec3 q0perp = cross( N, q0 ); vec3 T = q1perp * st0.x + q0perp * st1.x; vec3 B = q1perp * st0.y + q0perp * st1.y; float det = max( dot( T, T ), dot( B, B ) ); float scale = ( det == 0.0 ) ? 0.0 : faceDirection * inversesqrt( det ); return normalize( T * ( mapN.x * scale ) + B * ( mapN.y * scale ) + N * mapN.z ); } #endif `,om=` #ifdef USE_CLEARCOAT vec3 clearcoatNormal = geometryNormal; #endif `,am=` #ifdef USE_CLEARCOAT_NORMALMAP vec3 clearcoatMapN = texture2D( clearcoatNormalMap, vUv ).xyz * 2.0 - 1.0; clearcoatMapN.xy *= clearcoatNormalScale; #ifdef USE_TANGENT clearcoatNormal = normalize( vTBN * clearcoatMapN ); #else clearcoatNormal = perturbNormal2Arb( - vViewPosition, clearcoatNormal, clearcoatMapN, faceDirection ); #endif #endif `,lm=` #ifdef USE_CLEARCOATMAP uniform sampler2D clearcoatMap; #endif #ifdef USE_CLEARCOAT_ROUGHNESSMAP uniform sampler2D clearcoatRoughnessMap; #endif #ifdef USE_CLEARCOAT_NORMALMAP uniform sampler2D clearcoatNormalMap; uniform vec2 clearcoatNormalScale; #endif `,cm=` #ifdef USE_IRIDESCENCEMAP uniform sampler2D iridescenceMap; #endif #ifdef USE_IRIDESCENCE_THICKNESSMAP uniform sampler2D iridescenceThicknessMap; #endif `,um=` #ifdef OPAQUE diffuseColor.a = 1.0; #endif // https://github.com/mrdoob/three.js/pull/22425 #ifdef USE_TRANSMISSION diffuseColor.a *= transmissionAlpha + 0.1; #endif gl_FragColor = vec4( outgoingLight, diffuseColor.a ); `,hm=` vec3 packNormalToRGB( const in vec3 normal ) { return normalize( normal ) * 0.5 + 0.5; } vec3 unpackRGBToNormal( const in vec3 rgb ) { return 2.0 * rgb.xyz - 1.0; } const float PackUpscale = 256. / 255.; // fraction -> 0..1 (including 1) const float UnpackDownscale = 255. / 256.; // 0..1 -> fraction (excluding 1) const vec3 PackFactors = vec3( 256. * 256. * 256., 256. * 256., 256. ); const vec4 UnpackFactors = UnpackDownscale / vec4( PackFactors, 1. ); const float ShiftRight8 = 1. / 256.; vec4 packDepthToRGBA( const in float v ) { vec4 r = vec4( fract( v * PackFactors ), v ); r.yzw -= r.xyz * ShiftRight8; // tidy overflow return r * PackUpscale; } float unpackRGBAToDepth( const in vec4 v ) { return dot( v, UnpackFactors ); } vec4 pack2HalfToRGBA( vec2 v ) { vec4 r = vec4( v.x, fract( v.x * 255.0 ), v.y, fract( v.y * 255.0 ) ); return vec4( r.x - r.y / 255.0, r.y, r.z - r.w / 255.0, r.w ); } vec2 unpackRGBATo2Half( vec4 v ) { return vec2( v.x + ( v.y / 255.0 ), v.z + ( v.w / 255.0 ) ); } // NOTE: viewZ/eyeZ is < 0 when in front of the camera per OpenGL conventions float viewZToOrthographicDepth( const in float viewZ, const in float near, const in float far ) { return ( viewZ + near ) / ( near - far ); } float orthographicDepthToViewZ( const in float linearClipZ, const in float near, const in float far ) { return linearClipZ * ( near - far ) - near; } // NOTE: https://twitter.com/gonnavis/status/1377183786949959682 float viewZToPerspectiveDepth( const in float viewZ, const in float near, const in float far ) { return ( ( near + viewZ ) * far ) / ( ( far - near ) * viewZ ); } float perspectiveDepthToViewZ( const in float invClipZ, const in float near, const in float far ) { return ( near * far ) / ( ( far - near ) * invClipZ - far ); } `,fm=` #ifdef PREMULTIPLIED_ALPHA // Get get normal blending with premultipled, use with CustomBlending, OneFactor, OneMinusSrcAlphaFactor, AddEquation. gl_FragColor.rgb *= gl_FragColor.a; #endif `,dm=` vec4 mvPosition = vec4( transformed, 1.0 ); #ifdef USE_INSTANCING mvPosition = instanceMatrix * mvPosition; #endif mvPosition = modelViewMatrix * mvPosition; gl_Position = projectionMatrix * mvPosition; `,pm=` #ifdef DITHERING gl_FragColor.rgb = dithering( gl_FragColor.rgb ); #endif `,mm=` #ifdef DITHERING // based on https://www.shadertoy.com/view/MslGR8 vec3 dithering( vec3 color ) { //Calculate grid position float grid_position = rand( gl_FragCoord.xy ); //Shift the individual colors differently, thus making it even harder to see the dithering pattern vec3 dither_shift_RGB = vec3( 0.25 / 255.0, -0.25 / 255.0, 0.25 / 255.0 ); //modify shift according to grid position. dither_shift_RGB = mix( 2.0 * dither_shift_RGB, -2.0 * dither_shift_RGB, grid_position ); //shift the color by dither_shift return color + dither_shift_RGB; } #endif `,_m=` float roughnessFactor = roughness; #ifdef USE_ROUGHNESSMAP vec4 texelRoughness = texture2D( roughnessMap, vUv ); // reads channel G, compatible with a combined OcclusionRoughnessMetallic (RGB) texture roughnessFactor *= texelRoughness.g; #endif `,gm=` #ifdef USE_ROUGHNESSMAP uniform sampler2D roughnessMap; #endif `,xm=` #ifdef USE_SHADOWMAP #if NUM_DIR_LIGHT_SHADOWS > 0 uniform sampler2D directionalShadowMap[ NUM_DIR_LIGHT_SHADOWS ]; varying vec4 vDirectionalShadowCoord[ NUM_DIR_LIGHT_SHADOWS ]; struct DirectionalLightShadow { float shadowBias; float shadowNormalBias; float shadowRadius; vec2 shadowMapSize; }; uniform DirectionalLightShadow directionalLightShadows[ NUM_DIR_LIGHT_SHADOWS ]; #endif #if NUM_SPOT_LIGHT_SHADOWS > 0 uniform sampler2D spotShadowMap[ NUM_SPOT_LIGHT_SHADOWS ]; varying vec4 vSpotShadowCoord[ NUM_SPOT_LIGHT_SHADOWS ]; struct SpotLightShadow { float shadowBias; float shadowNormalBias; float shadowRadius; vec2 shadowMapSize; }; uniform SpotLightShadow spotLightShadows[ NUM_SPOT_LIGHT_SHADOWS ]; #endif #if NUM_POINT_LIGHT_SHADOWS > 0 uniform sampler2D pointShadowMap[ NUM_POINT_LIGHT_SHADOWS ]; varying vec4 vPointShadowCoord[ NUM_POINT_LIGHT_SHADOWS ]; struct PointLightShadow { float shadowBias; float shadowNormalBias; float shadowRadius; vec2 shadowMapSize; float shadowCameraNear; float shadowCameraFar; }; uniform PointLightShadow pointLightShadows[ NUM_POINT_LIGHT_SHADOWS ]; #endif /* #if NUM_RECT_AREA_LIGHTS > 0 // TODO (abelnation): create uniforms for area light shadows #endif */ float texture2DCompare( sampler2D depths, vec2 uv, float compare ) { return step( compare, unpackRGBAToDepth( texture2D( depths, uv ) ) ); } vec2 texture2DDistribution( sampler2D shadow, vec2 uv ) { return unpackRGBATo2Half( texture2D( shadow, uv ) ); } float VSMShadow (sampler2D shadow, vec2 uv, float compare ){ float occlusion = 1.0; vec2 distribution = texture2DDistribution( shadow, uv ); float hard_shadow = step( compare , distribution.x ); // Hard Shadow if (hard_shadow != 1.0 ) { float distance = compare - distribution.x ; float variance = max( 0.00000, distribution.y * distribution.y ); float softness_probability = variance / (variance + distance * distance ); // Chebeyshevs inequality softness_probability = clamp( ( softness_probability - 0.3 ) / ( 0.95 - 0.3 ), 0.0, 1.0 ); // 0.3 reduces light bleed occlusion = clamp( max( hard_shadow, softness_probability ), 0.0, 1.0 ); } return occlusion; } float getShadow( sampler2D shadowMap, vec2 shadowMapSize, float shadowBias, float shadowRadius, vec4 shadowCoord ) { float shadow = 1.0; shadowCoord.xyz /= shadowCoord.w; shadowCoord.z += shadowBias; // if ( something && something ) breaks ATI OpenGL shader compiler // if ( all( something, something ) ) using this instead bvec4 inFrustumVec = bvec4 ( shadowCoord.x >= 0.0, shadowCoord.x <= 1.0, shadowCoord.y >= 0.0, shadowCoord.y <= 1.0 ); bool inFrustum = all( inFrustumVec ); bvec2 frustumTestVec = bvec2( inFrustum, shadowCoord.z <= 1.0 ); bool frustumTest = all( frustumTestVec ); if ( frustumTest ) { #if defined( SHADOWMAP_TYPE_PCF ) vec2 texelSize = vec2( 1.0 ) / shadowMapSize; float dx0 = - texelSize.x * shadowRadius; float dy0 = - texelSize.y * shadowRadius; float dx1 = + texelSize.x * shadowRadius; float dy1 = + texelSize.y * shadowRadius; float dx2 = dx0 / 2.0; float dy2 = dy0 / 2.0; float dx3 = dx1 / 2.0; float dy3 = dy1 / 2.0; shadow = ( texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx0, dy0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx1, dy0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx2, dy2 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy2 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx3, dy2 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx0, 0.0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx2, 0.0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy, shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx3, 0.0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx1, 0.0 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx2, dy3 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy3 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx3, dy3 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx0, dy1 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy1 ), shadowCoord.z ) + texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx1, dy1 ), shadowCoord.z ) ) * ( 1.0 / 17.0 ); #elif defined( SHADOWMAP_TYPE_PCF_SOFT ) vec2 texelSize = vec2( 1.0 ) / shadowMapSize; float dx = texelSize.x; float dy = texelSize.y; vec2 uv = shadowCoord.xy; vec2 f = fract( uv * shadowMapSize + 0.5 ); uv -= f * texelSize; shadow = ( texture2DCompare( shadowMap, uv, shadowCoord.z ) + texture2DCompare( shadowMap, uv + vec2( dx, 0.0 ), shadowCoord.z ) + texture2DCompare( shadowMap, uv + vec2( 0.0, dy ), shadowCoord.z ) + texture2DCompare( shadowMap, uv + texelSize, shadowCoord.z ) + mix( texture2DCompare( shadowMap, uv + vec2( -dx, 0.0 ), shadowCoord.z ), texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, 0.0 ), shadowCoord.z ), f.x ) + mix( texture2DCompare( shadowMap, uv + vec2( -dx, dy ), shadowCoord.z ), texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, dy ), shadowCoord.z ), f.x ) + mix( texture2DCompare( shadowMap, uv + vec2( 0.0, -dy ), shadowCoord.z ), texture2DCompare( shadowMap, uv + vec2( 0.0, 2.0 * dy ), shadowCoord.z ), f.y ) + mix( texture2DCompare( shadowMap, uv + vec2( dx, -dy ), shadowCoord.z ), texture2DCompare( shadowMap, uv + vec2( dx, 2.0 * dy ), shadowCoord.z ), f.y ) + mix( mix( texture2DCompare( shadowMap, uv + vec2( -dx, -dy ), shadowCoord.z ), texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, -dy ), shadowCoord.z ), f.x ), mix( texture2DCompare( shadowMap, uv + vec2( -dx, 2.0 * dy ), shadowCoord.z ), texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, 2.0 * dy ), shadowCoord.z ), f.x ), f.y ) ) * ( 1.0 / 9.0 ); #elif defined( SHADOWMAP_TYPE_VSM ) shadow = VSMShadow( shadowMap, shadowCoord.xy, shadowCoord.z ); #else // no percentage-closer filtering: shadow = texture2DCompare( shadowMap, shadowCoord.xy, shadowCoord.z ); #endif } return shadow; } // cubeToUV() maps a 3D direction vector suitable for cube texture mapping to a 2D // vector suitable for 2D texture mapping. This code uses the following layout for the // 2D texture: // // xzXZ // y Y // // Y - Positive y direction // y - Negative y direction // X - Positive x direction // x - Negative x direction // Z - Positive z direction // z - Negative z direction // // Source and test bed: // https://gist.github.com/tschw/da10c43c467ce8afd0c4 vec2 cubeToUV( vec3 v, float texelSizeY ) { // Number of texels to avoid at the edge of each square vec3 absV = abs( v ); // Intersect unit cube float scaleToCube = 1.0 / max( absV.x, max( absV.y, absV.z ) ); absV *= scaleToCube; // Apply scale to avoid seams // two texels less per square (one texel will do for NEAREST) v *= scaleToCube * ( 1.0 - 2.0 * texelSizeY ); // Unwrap // space: -1 ... 1 range for each square // // #X## dim := ( 4 , 2 ) // # # center := ( 1 , 1 ) vec2 planar = v.xy; float almostATexel = 1.5 * texelSizeY; float almostOne = 1.0 - almostATexel; if ( absV.z >= almostOne ) { if ( v.z > 0.0 ) planar.x = 4.0 - v.x; } else if ( absV.x >= almostOne ) { float signX = sign( v.x ); planar.x = v.z * signX + 2.0 * signX; } else if ( absV.y >= almostOne ) { float signY = sign( v.y ); planar.x = v.x + 2.0 * signY + 2.0; planar.y = v.z * signY - 2.0; } // Transform to UV space // scale := 0.5 / dim // translate := ( center + 0.5 ) / dim return vec2( 0.125, 0.25 ) * planar + vec2( 0.375, 0.75 ); } float getPointShadow( sampler2D shadowMap, vec2 shadowMapSize, float shadowBias, float shadowRadius, vec4 shadowCoord, float shadowCameraNear, float shadowCameraFar ) { vec2 texelSize = vec2( 1.0 ) / ( shadowMapSize * vec2( 4.0, 2.0 ) ); // for point lights, the uniform @vShadowCoord is re-purposed to hold // the vector from the light to the world-space position of the fragment. vec3 lightToPosition = shadowCoord.xyz; // dp = normalized distance from light to fragment position float dp = ( length( lightToPosition ) - shadowCameraNear ) / ( shadowCameraFar - shadowCameraNear ); // need to clamp? dp += shadowBias; // bd3D = base direction 3D vec3 bd3D = normalize( lightToPosition ); #if defined( SHADOWMAP_TYPE_PCF ) || defined( SHADOWMAP_TYPE_PCF_SOFT ) || defined( SHADOWMAP_TYPE_VSM ) vec2 offset = vec2( - 1, 1 ) * shadowRadius * texelSize.y; return ( texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xyy, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yyy, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xyx, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yyx, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xxy, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yxy, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xxx, texelSize.y ), dp ) + texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yxx, texelSize.y ), dp ) ) * ( 1.0 / 9.0 ); #else // no percentage-closer filtering return texture2DCompare( shadowMap, cubeToUV( bd3D, texelSize.y ), dp ); #endif } #endif `,vm=` #ifdef USE_SHADOWMAP #if NUM_DIR_LIGHT_SHADOWS > 0 uniform mat4 directionalShadowMatrix[ NUM_DIR_LIGHT_SHADOWS ]; varying vec4 vDirectionalShadowCoord[ NUM_DIR_LIGHT_SHADOWS ]; struct DirectionalLightShadow { float shadowBias; float shadowNormalBias; float shadowRadius; vec2 shadowMapSize; }; uniform DirectionalLightShadow directionalLightShadows[ NUM_DIR_LIGHT_SHADOWS ]; #endif #if NUM_SPOT_LIGHT_SHADOWS > 0 uniform mat4 spotShadowMatrix[ NUM_SPOT_LIGHT_SHADOWS ]; varying vec4 vSpotShadowCoord[ NUM_SPOT_LIGHT_SHADOWS ]; struct SpotLightShadow { float shadowBias; float shadowNormalBias; float shadowRadius; vec2 shadowMapSize; }; uniform SpotLightShadow spotLightShadows[ NUM_SPOT_LIGHT_SHADOWS ]; #endif #if NUM_POINT_LIGHT_SHADOWS > 0 uniform mat4 pointShadowMatrix[ NUM_POINT_LIGHT_SHADOWS ]; varying vec4 vPointShadowCoord[ NUM_POINT_LIGHT_SHADOWS ]; struct PointLightShadow { float shadowBias; float shadowNormalBias; float shadowRadius; vec2 shadowMapSize; float shadowCameraNear; float shadowCameraFar; }; uniform PointLightShadow pointLightShadows[ NUM_POINT_LIGHT_SHADOWS ]; #endif /* #if NUM_RECT_AREA_LIGHTS > 0 // TODO (abelnation): uniforms for area light shadows #endif */ #endif `,ym=` #ifdef USE_SHADOWMAP #if NUM_DIR_LIGHT_SHADOWS > 0 || NUM_SPOT_LIGHT_SHADOWS > 0 || NUM_POINT_LIGHT_SHADOWS > 0 // Offsetting the position used for querying occlusion along the world normal can be used to reduce shadow acne. vec3 shadowWorldNormal = inverseTransformDirection( transformedNormal, viewMatrix ); vec4 shadowWorldPosition; #endif #if NUM_DIR_LIGHT_SHADOWS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_DIR_LIGHT_SHADOWS; i ++ ) { shadowWorldPosition = worldPosition + vec4( shadowWorldNormal * directionalLightShadows[ i ].shadowNormalBias, 0 ); vDirectionalShadowCoord[ i ] = directionalShadowMatrix[ i ] * shadowWorldPosition; } #pragma unroll_loop_end #endif #if NUM_SPOT_LIGHT_SHADOWS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_SPOT_LIGHT_SHADOWS; i ++ ) { shadowWorldPosition = worldPosition + vec4( shadowWorldNormal * spotLightShadows[ i ].shadowNormalBias, 0 ); vSpotShadowCoord[ i ] = spotShadowMatrix[ i ] * shadowWorldPosition; } #pragma unroll_loop_end #endif #if NUM_POINT_LIGHT_SHADOWS > 0 #pragma unroll_loop_start for ( int i = 0; i < NUM_POINT_LIGHT_SHADOWS; i ++ ) { shadowWorldPosition = worldPosition + vec4( shadowWorldNormal * pointLightShadows[ i ].shadowNormalBias, 0 ); vPointShadowCoord[ i ] = pointShadowMatrix[ i ] * shadowWorldPosition; } #pragma unroll_loop_end #endif /* #if NUM_RECT_AREA_LIGHTS > 0 // TODO (abelnation): update vAreaShadowCoord with area light info #endif */ #endif `,Sm=` float getShadowMask() { float shadow = 1.0; #ifdef USE_SHADOWMAP #if NUM_DIR_LIGHT_SHADOWS > 0 DirectionalLightShadow directionalLight; #pragma unroll_loop_start for ( int i = 0; i < NUM_DIR_LIGHT_SHADOWS; i ++ ) { directionalLight = directionalLightShadows[ i ]; shadow *= receiveShadow ? getShadow( directionalShadowMap[ i ], directionalLight.shadowMapSize, directionalLight.shadowBias, directionalLight.shadowRadius, vDirectionalShadowCoord[ i ] ) : 1.0; } #pragma unroll_loop_end #endif #if NUM_SPOT_LIGHT_SHADOWS > 0 SpotLightShadow spotLight; #pragma unroll_loop_start for ( int i = 0; i < NUM_SPOT_LIGHT_SHADOWS; i ++ ) { spotLight = spotLightShadows[ i ]; shadow *= receiveShadow ? getShadow( spotShadowMap[ i ], spotLight.shadowMapSize, spotLight.shadowBias, spotLight.shadowRadius, vSpotShadowCoord[ i ] ) : 1.0; } #pragma unroll_loop_end #endif #if NUM_POINT_LIGHT_SHADOWS > 0 PointLightShadow pointLight; #pragma unroll_loop_start for ( int i = 0; i < NUM_POINT_LIGHT_SHADOWS; i ++ ) { pointLight = pointLightShadows[ i ]; shadow *= receiveShadow ? getPointShadow( pointShadowMap[ i ], pointLight.shadowMapSize, pointLight.shadowBias, pointLight.shadowRadius, vPointShadowCoord[ i ], pointLight.shadowCameraNear, pointLight.shadowCameraFar ) : 1.0; } #pragma unroll_loop_end #endif /* #if NUM_RECT_AREA_LIGHTS > 0 // TODO (abelnation): update shadow for Area light #endif */ #endif return shadow; } `,Mm=` #ifdef USE_SKINNING mat4 boneMatX = getBoneMatrix( skinIndex.x ); mat4 boneMatY = getBoneMatrix( skinIndex.y ); mat4 boneMatZ = getBoneMatrix( skinIndex.z ); mat4 boneMatW = getBoneMatrix( skinIndex.w ); #endif `,Em=` #ifdef USE_SKINNING uniform mat4 bindMatrix; uniform mat4 bindMatrixInverse; uniform highp sampler2D boneTexture; uniform int boneTextureSize; mat4 getBoneMatrix( const in float i ) { float j = i * 4.0; float x = mod( j, float( boneTextureSize ) ); float y = floor( j / float( boneTextureSize ) ); float dx = 1.0 / float( boneTextureSize ); float dy = 1.0 / float( boneTextureSize ); y = dy * ( y + 0.5 ); vec4 v1 = texture2D( boneTexture, vec2( dx * ( x + 0.5 ), y ) ); vec4 v2 = texture2D( boneTexture, vec2( dx * ( x + 1.5 ), y ) ); vec4 v3 = texture2D( boneTexture, vec2( dx * ( x + 2.5 ), y ) ); vec4 v4 = texture2D( boneTexture, vec2( dx * ( x + 3.5 ), y ) ); mat4 bone = mat4( v1, v2, v3, v4 ); return bone; } #endif `,bm=` #ifdef USE_SKINNING vec4 skinVertex = bindMatrix * vec4( transformed, 1.0 ); vec4 skinned = vec4( 0.0 ); skinned += boneMatX * skinVertex * skinWeight.x; skinned += boneMatY * skinVertex * skinWeight.y; skinned += boneMatZ * skinVertex * skinWeight.z; skinned += boneMatW * skinVertex * skinWeight.w; transformed = ( bindMatrixInverse * skinned ).xyz; #endif `,wm=` #ifdef USE_SKINNING mat4 skinMatrix = mat4( 0.0 ); skinMatrix += skinWeight.x * boneMatX; skinMatrix += skinWeight.y * boneMatY; skinMatrix += skinWeight.z * boneMatZ; skinMatrix += skinWeight.w * boneMatW; skinMatrix = bindMatrixInverse * skinMatrix * bindMatrix; objectNormal = vec4( skinMatrix * vec4( objectNormal, 0.0 ) ).xyz; #ifdef USE_TANGENT objectTangent = vec4( skinMatrix * vec4( objectTangent, 0.0 ) ).xyz; #endif #endif `,Tm=` float specularStrength; #ifdef USE_SPECULARMAP vec4 texelSpecular = texture2D( specularMap, vUv ); specularStrength = texelSpecular.r; #else specularStrength = 1.0; #endif `,Am=` #ifdef USE_SPECULARMAP uniform sampler2D specularMap; #endif `,Rm=` #if defined( TONE_MAPPING ) gl_FragColor.rgb = toneMapping( gl_FragColor.rgb ); #endif `,Cm=` #ifndef saturate // may have defined saturate() already #define saturate( a ) clamp( a, 0.0, 1.0 ) #endif uniform float toneMappingExposure; // exposure only vec3 LinearToneMapping( vec3 color ) { return toneMappingExposure * color; } // source: https://www.cs.utah.edu/docs/techreports/2002/pdf/UUCS-02-001.pdf vec3 ReinhardToneMapping( vec3 color ) { color *= toneMappingExposure; return saturate( color / ( vec3( 1.0 ) + color ) ); } // source: http://filmicworlds.com/blog/filmic-tonemapping-operators/ vec3 OptimizedCineonToneMapping( vec3 color ) { // optimized filmic operator by Jim Hejl and Richard Burgess-Dawson color *= toneMappingExposure; color = max( vec3( 0.0 ), color - 0.004 ); return pow( ( color * ( 6.2 * color + 0.5 ) ) / ( color * ( 6.2 * color + 1.7 ) + 0.06 ), vec3( 2.2 ) ); } // source: https://github.com/selfshadow/ltc_code/blob/master/webgl/shaders/ltc/ltc_blit.fs vec3 RRTAndODTFit( vec3 v ) { vec3 a = v * ( v + 0.0245786 ) - 0.000090537; vec3 b = v * ( 0.983729 * v + 0.4329510 ) + 0.238081; return a / b; } // this implementation of ACES is modified to accommodate a brighter viewing environment. // the scale factor of 1/0.6 is subjective. see discussion in #19621. vec3 ACESFilmicToneMapping( vec3 color ) { // sRGB => XYZ => D65_2_D60 => AP1 => RRT_SAT const mat3 ACESInputMat = mat3( vec3( 0.59719, 0.07600, 0.02840 ), // transposed from source vec3( 0.35458, 0.90834, 0.13383 ), vec3( 0.04823, 0.01566, 0.83777 ) ); // ODT_SAT => XYZ => D60_2_D65 => sRGB const mat3 ACESOutputMat = mat3( vec3( 1.60475, -0.10208, -0.00327 ), // transposed from source vec3( -0.53108, 1.10813, -0.07276 ), vec3( -0.07367, -0.00605, 1.07602 ) ); color *= toneMappingExposure / 0.6; color = ACESInputMat * color; // Apply RRT and ODT color = RRTAndODTFit( color ); color = ACESOutputMat * color; // Clamp to [0, 1] return saturate( color ); } vec3 CustomToneMapping( vec3 color ) { return color; } `,Pm=` #ifdef USE_TRANSMISSION float transmissionAlpha = 1.0; float transmissionFactor = transmission; float thicknessFactor = thickness; #ifdef USE_TRANSMISSIONMAP transmissionFactor *= texture2D( transmissionMap, vUv ).r; #endif #ifdef USE_THICKNESSMAP thicknessFactor *= texture2D( thicknessMap, vUv ).g; #endif vec3 pos = vWorldPosition; vec3 v = normalize( cameraPosition - pos ); vec3 n = inverseTransformDirection( normal, viewMatrix ); vec4 transmission = getIBLVolumeRefraction( n, v, roughnessFactor, material.diffuseColor, material.specularColor, material.specularF90, pos, modelMatrix, viewMatrix, projectionMatrix, ior, thicknessFactor, attenuationColor, attenuationDistance ); totalDiffuse = mix( totalDiffuse, transmission.rgb, transmissionFactor ); transmissionAlpha = mix( transmissionAlpha, transmission.a, transmissionFactor ); #endif `,Lm=` #ifdef USE_TRANSMISSION // Transmission code is based on glTF-Sampler-Viewer // https://github.com/KhronosGroup/glTF-Sample-Viewer uniform float transmission; uniform float thickness; uniform float attenuationDistance; uniform vec3 attenuationColor; #ifdef USE_TRANSMISSIONMAP uniform sampler2D transmissionMap; #endif #ifdef USE_THICKNESSMAP uniform sampler2D thicknessMap; #endif uniform vec2 transmissionSamplerSize; uniform sampler2D transmissionSamplerMap; uniform mat4 modelMatrix; uniform mat4 projectionMatrix; varying vec3 vWorldPosition; vec3 getVolumeTransmissionRay( const in vec3 n, const in vec3 v, const in float thickness, const in float ior, const in mat4 modelMatrix ) { // Direction of refracted light. vec3 refractionVector = refract( - v, normalize( n ), 1.0 / ior ); // Compute rotation-independant scaling of the model matrix. vec3 modelScale; modelScale.x = length( vec3( modelMatrix[ 0 ].xyz ) ); modelScale.y = length( vec3( modelMatrix[ 1 ].xyz ) ); modelScale.z = length( vec3( modelMatrix[ 2 ].xyz ) ); // The thickness is specified in local space. return normalize( refractionVector ) * thickness * modelScale; } float applyIorToRoughness( const in float roughness, const in float ior ) { // Scale roughness with IOR so that an IOR of 1.0 results in no microfacet refraction and // an IOR of 1.5 results in the default amount of microfacet refraction. return roughness * clamp( ior * 2.0 - 2.0, 0.0, 1.0 ); } vec4 getTransmissionSample( const in vec2 fragCoord, const in float roughness, const in float ior ) { float framebufferLod = log2( transmissionSamplerSize.x ) * applyIorToRoughness( roughness, ior ); #ifdef texture2DLodEXT return texture2DLodEXT( transmissionSamplerMap, fragCoord.xy, framebufferLod ); #else return texture2D( transmissionSamplerMap, fragCoord.xy, framebufferLod ); #endif } vec3 applyVolumeAttenuation( const in vec3 radiance, const in float transmissionDistance, const in vec3 attenuationColor, const in float attenuationDistance ) { if ( attenuationDistance == 0.0 ) { // Attenuation distance is +\u221E (which we indicate by zero), i.e. the transmitted color is not attenuated at all. return radiance; } else { // Compute light attenuation using Beer's law. vec3 attenuationCoefficient = -log( attenuationColor ) / attenuationDistance; vec3 transmittance = exp( - attenuationCoefficient * transmissionDistance ); // Beer's law return transmittance * radiance; } } vec4 getIBLVolumeRefraction( const in vec3 n, const in vec3 v, const in float roughness, const in vec3 diffuseColor, const in vec3 specularColor, const in float specularF90, const in vec3 position, const in mat4 modelMatrix, const in mat4 viewMatrix, const in mat4 projMatrix, const in float ior, const in float thickness, const in vec3 attenuationColor, const in float attenuationDistance ) { vec3 transmissionRay = getVolumeTransmissionRay( n, v, thickness, ior, modelMatrix ); vec3 refractedRayExit = position + transmissionRay; // Project refracted vector on the framebuffer, while mapping to normalized device coordinates. vec4 ndcPos = projMatrix * viewMatrix * vec4( refractedRayExit, 1.0 ); vec2 refractionCoords = ndcPos.xy / ndcPos.w; refractionCoords += 1.0; refractionCoords /= 2.0; // Sample framebuffer to get pixel the refracted ray hits. vec4 transmittedLight = getTransmissionSample( refractionCoords, roughness, ior ); vec3 attenuatedColor = applyVolumeAttenuation( transmittedLight.rgb, length( transmissionRay ), attenuationColor, attenuationDistance ); // Get the specular component. vec3 F = EnvironmentBRDF( n, v, specularColor, specularF90, roughness ); return vec4( ( 1.0 - F ) * attenuatedColor * diffuseColor, transmittedLight.a ); } #endif `,Dm=` #if ( defined( USE_UV ) && ! defined( UVS_VERTEX_ONLY ) ) varying vec2 vUv; #endif `,Fm=` #ifdef USE_UV #ifdef UVS_VERTEX_ONLY vec2 vUv; #else varying vec2 vUv; #endif uniform mat3 uvTransform; #endif `,Im=` #ifdef USE_UV vUv = ( uvTransform * vec3( uv, 1 ) ).xy; #endif `,Nm=` #if defined( USE_LIGHTMAP ) || defined( USE_AOMAP ) varying vec2 vUv2; #endif `,Om=` #if defined( USE_LIGHTMAP ) || defined( USE_AOMAP ) attribute vec2 uv2; varying vec2 vUv2; uniform mat3 uv2Transform; #endif `,Um=` #if defined( USE_LIGHTMAP ) || defined( USE_AOMAP ) vUv2 = ( uv2Transform * vec3( uv2, 1 ) ).xy; #endif `,zm=` #if defined( USE_ENVMAP ) || defined( DISTANCE ) || defined ( USE_SHADOWMAP ) || defined ( USE_TRANSMISSION ) vec4 worldPosition = vec4( transformed, 1.0 ); #ifdef USE_INSTANCING worldPosition = instanceMatrix * worldPosition; #endif worldPosition = modelMatrix * worldPosition; #endif `;const Bm=` varying vec2 vUv; uniform mat3 uvTransform; void main() { vUv = ( uvTransform * vec3( uv, 1 ) ).xy; gl_Position = vec4( position.xy, 1.0, 1.0 ); } `,Gm=` uniform sampler2D t2D; varying vec2 vUv; void main() { gl_FragColor = texture2D( t2D, vUv ); #ifdef DECODE_VIDEO_TEXTURE // inline sRGB decode (TODO: Remove this code when https://crbug.com/1256340 is solved) gl_FragColor = vec4( mix( pow( gl_FragColor.rgb * 0.9478672986 + vec3( 0.0521327014 ), vec3( 2.4 ) ), gl_FragColor.rgb * 0.0773993808, vec3( lessThanEqual( gl_FragColor.rgb, vec3( 0.04045 ) ) ) ), gl_FragColor.w ); #endif #include #include } `,km=` varying vec3 vWorldDirection; #include void main() { vWorldDirection = transformDirection( position, modelMatrix ); #include #include gl_Position.z = gl_Position.w; // set z to camera.far } `,Hm=` #include uniform float opacity; varying vec3 vWorldDirection; #include void main() { vec3 vReflect = vWorldDirection; #include gl_FragColor = envColor; gl_FragColor.a *= opacity; #include #include } `,Vm=` #include #include #include #include #include #include #include // This is used for computing an equivalent of gl_FragCoord.z that is as high precision as possible. // Some platforms compute gl_FragCoord at a lower precision which makes the manually computed value better for // depth-based postprocessing effects. Reproduced on iPad with A10 processor / iPadOS 13.3.1. varying vec2 vHighPrecisionZW; void main() { #include #include #ifdef USE_DISPLACEMENTMAP #include #include #include #endif #include #include #include #include #include #include #include vHighPrecisionZW = gl_Position.zw; } `,Wm=` #if DEPTH_PACKING == 3200 uniform float opacity; #endif #include #include #include #include #include #include #include #include varying vec2 vHighPrecisionZW; void main() { #include vec4 diffuseColor = vec4( 1.0 ); #if DEPTH_PACKING == 3200 diffuseColor.a = opacity; #endif #include #include #include #include // Higher precision equivalent of gl_FragCoord.z. This assumes depthRange has been left to its default values. float fragCoordZ = 0.5 * vHighPrecisionZW[0] / vHighPrecisionZW[1] + 0.5; #if DEPTH_PACKING == 3200 gl_FragColor = vec4( vec3( 1.0 - fragCoordZ ), opacity ); #elif DEPTH_PACKING == 3201 gl_FragColor = packDepthToRGBA( fragCoordZ ); #endif } `,Xm=` #define DISTANCE varying vec3 vWorldPosition; #include #include #include #include #include #include void main() { #include #include #ifdef USE_DISPLACEMENTMAP #include #include #include #endif #include #include #include #include #include #include #include vWorldPosition = worldPosition.xyz; } `,qm=` #define DISTANCE uniform vec3 referencePosition; uniform float nearDistance; uniform float farDistance; varying vec3 vWorldPosition; #include #include #include #include #include #include #include void main () { #include vec4 diffuseColor = vec4( 1.0 ); #include #include #include float dist = length( vWorldPosition - referencePosition ); dist = ( dist - nearDistance ) / ( farDistance - nearDistance ); dist = saturate( dist ); // clamp to [ 0, 1 ] gl_FragColor = packDepthToRGBA( dist ); } `,Ym=` varying vec3 vWorldDirection; #include void main() { vWorldDirection = transformDirection( position, modelMatrix ); #include #include } `,Zm=` uniform sampler2D tEquirect; varying vec3 vWorldDirection; #include void main() { vec3 direction = normalize( vWorldDirection ); vec2 sampleUV = equirectUv( direction ); gl_FragColor = texture2D( tEquirect, sampleUV ); #include #include } `,Jm=` uniform float scale; attribute float lineDistance; varying float vLineDistance; #include #include #include #include #include #include void main() { vLineDistance = scale * lineDistance; #include #include #include #include #include #include #include #include } `,Km=` uniform vec3 diffuse; uniform float opacity; uniform float dashSize; uniform float totalSize; varying float vLineDistance; #include #include #include #include #include void main() { #include if ( mod( vLineDistance, totalSize ) > dashSize ) { discard; } vec3 outgoingLight = vec3( 0.0 ); vec4 diffuseColor = vec4( diffuse, opacity ); #include #include outgoingLight = diffuseColor.rgb; // simple shader #include #include #include #include #include } `,jm=` #include #include #include #include #include #include #include #include #include #include void main() { #include #include #include #include #if defined ( USE_ENVMAP ) || defined ( USE_SKINNING ) #include #include #include #include #include #endif #include #include #include #include #include #include #include #include #include } `,$m=` uniform vec3 diffuse; uniform float opacity; #ifndef FLAT_SHADED varying vec3 vNormal; #endif #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include void main() { #include vec4 diffuseColor = vec4( diffuse, opacity ); #include #include #include #include #include #include ReflectedLight reflectedLight = ReflectedLight( vec3( 0.0 ), vec3( 0.0 ), vec3( 0.0 ), vec3( 0.0 ) ); // accumulation (baked indirect lighting only) #ifdef USE_LIGHTMAP vec4 lightMapTexel = texture2D( lightMap, vUv2 ); reflectedLight.indirectDiffuse += lightMapTexel.rgb * lightMapIntensity * RECIPROCAL_PI; #else reflectedLight.indirectDiffuse += vec3( 1.0 ); #endif // modulation #include reflectedLight.indirectDiffuse *= diffuseColor.rgb; vec3 outgoingLight = reflectedLight.indirectDiffuse; #include #include #include #include #include #include #include } `,Qm=` #define LAMBERT varying vec3 vLightFront; varying vec3 vIndirectFront; #ifdef DOUBLE_SIDED varying vec3 vLightBack; varying vec3 vIndirectBack; #endif #include #include #include #include #include #include #include #include #include #include #include #include #include void main() { #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include } `,e_=` uniform vec3 diffuse; uniform vec3 emissive; uniform float opacity; varying vec3 vLightFront; varying vec3 vIndirectFront; #ifdef DOUBLE_SIDED varying vec3 vLightBack; varying vec3 vIndirectBack; #endif #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include void main() { #include vec4 diffuseColor = vec4( diffuse, opacity ); ReflectedLight reflectedLight = ReflectedLight( vec3( 0.0 ), vec3( 0.0 ), vec3( 0.0 ), vec3( 0.0 ) ); vec3 totalEmissiveRadiance = emissive; #include #include #include #include #include #include #include // accumulation #ifdef DOUBLE_SIDED reflectedLight.indirectDiffuse += ( gl_FrontFacing ) ? vIndirectFront : vIndirectBack; #else reflectedLight.indirectDiffuse += vIndirectFront; #endif #include reflectedLight.indirectDiffuse *= BRDF_Lambert( diffuseColor.rgb ); #ifdef DOUBLE_SIDED reflectedLight.directDiffuse = ( gl_FrontFacing ) ? vLightFront : vLightBack; #else reflectedLight.directDiffuse = vLightFront; #endif reflectedLight.directDiffuse *= BRDF_Lambert( diffuseColor.rgb ) * getShadowMask(); // modulation #include vec3 outgoingLight = reflectedLight.directDiffuse + reflectedLight.indirectDiffuse + totalEmissiveRadiance; #include #include #include #include #include #include #include } `,t_=` #define MATCAP varying vec3 vViewPosition; #include #include #include #include #include #include #include #include #include #include void main() { #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include vViewPosition = - mvPosition.xyz; } `,i_=` #define MATCAP uniform vec3 diffuse; uniform float opacity; uniform sampler2D matcap; varying vec3 vViewPosition; #include #include #include #include #include #include #include #include #include #include #include #include #include void main() { #include vec4 diffuseColor = vec4( diffuse, opacity ); #include #include #include #include #include #include #include vec3 viewDir = normalize( vViewPosition ); vec3 x = normalize( vec3( viewDir.z, 0.0, - viewDir.x ) ); vec3 y = cross( viewDir, x ); vec2 uv = vec2( dot( x, normal ), dot( y, normal ) ) * 0.495 + 0.5; // 0.495 to remove artifacts caused by undersized matcap disks #ifdef USE_MATCAP vec4 matcapColor = texture2D( matcap, uv ); #else vec4 matcapColor = vec4( vec3( mix( 0.2, 0.8, uv.y ) ), 1.0 ); // default if matcap is missing #endif vec3 outgoingLight = diffuseColor.rgb * matcapColor.rgb; #include #include #include #include #include #include } `,n_=` #define NORMAL #if defined( FLAT_SHADED ) || defined( USE_BUMPMAP ) || defined( TANGENTSPACE_NORMALMAP ) varying vec3 vViewPosition; #endif #include #include #include #include #include #include #include #include void main() { #include #include #include #include #include #include #include #include #include #include #include #include #include #include #if defined( FLAT_SHADED ) || defined( USE_BUMPMAP ) || defined( TANGENTSPACE_NORMALMAP ) vViewPosition = - mvPosition.xyz; #endif } `,r_=` #define NORMAL uniform float opacity; #if defined( FLAT_SHADED ) || defined( USE_BUMPMAP ) || defined( TANGENTSPACE_NORMALMAP ) varying vec3 vViewPosition; #endif #include #include #include #include #include #include #include void main() { #include #include #include #include gl_FragColor = vec4( packNormalToRGB( normal ), opacity ); #ifdef OPAQUE gl_FragColor.a = 1.0; #endif } `,s_=` #define PHONG varying vec3 vViewPosition; #include #include #include #include #include #include #include #include #include #include #include #include #include void main() { #include #include #include #include #include #include #include

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