<!-- NEWWORLD · part 93 -->
 s=this.getPoint(i),a=this.getPoint(r),o=e||(s.isVector2?new vt:new Lt);return o.copy(a).sub(s).normalize(),o}getTangentAt(t,e){const n=this.getUtoTmapping(t);return this.getTangent(n,e)}computeFrenetFrames(t,e){const n=new Lt,i=[],r=[],s=[],a=new Lt,o=new se;for(let e=0;e<=t;e++){const n=e/t;i[e]=this.getTangentAt(n,new Lt),i[e].normalize()}r[0]=new Lt,s[0]=new Lt;let l=Number.MAX_VALUE;const c=Math.abs(i[0].x),h=Math.abs(i[0].y),u=Math.abs(i[0].z);c<=l&&(l=c,n.set(1,0,0)),h<=l&&(l=h,n.set(0,1,0)),u<=l&&n.set(0,0,1),a.crossVectors(i[0],n).normalize(),r[0].crossVectors(i[0],a),s[0].crossVectors(i[0],r[0]);for(let e=1;e<=t;e++){if(r[e]=r[e-1].clone(),s[e]=s[e-1].clone(),a.crossVectors(i[e-1],i[e]),a.length()>Number.EPSILON){a.normalize();const t=Math.acos(ht(i[e-1].dot(i[e]),-1,1));r[e].applyMatrix4(o.makeRotationAxis(a,t))}s[e].crossVectors(i[e],r[e])}if(!0===e){let e=Math.acos(ht(r[0].dot(r[t]),-1,1));e/=t,i[0].dot(a.crossVectors(r[0],r[t]))>0&&(e=-e);for(let n=1;n<=t;n++)r[n].applyMatrix4(o.makeRotationAxis(i[n],e*n)),s[n].crossVectors(i[n],r[n])}return{tangents:i,normals:r,binormals:s}}clone(){return(new this.constructor).copy(this)}copy(t){return this.arcLengthDivisions=t.arcLengthDivisions,this}toJSON(){const t={metadata:{version:4.5,type:"Curve",generator:"Curve.toJSON"}};return t.arcLengthDivisions=this.arcLengthDivisions,t.type=this.type,t}fromJSON(t){return this.arcLengthDivisions=t.arcLengthDivisions,this}}class fl extends ml{constructor(t=0,e=0,n=1,i=1,r=0,s=2*Math.PI,a=!1,o=0){super(),this.type="EllipseCurve",this.aX=t,this.aY=e,this.xRadius=n,this.yRadius=i,this.aStartAngle=r,this.aEndAngle=s,this.aClockwise=a,this.aRotation=o}getPoint(t,e){const n=e||new vt,i=2*Math.PI;let r=this.aEndAngle-this.aStartAngle;const s=Math.abs(r)<Number.EPSILON;for(;r<0;)r+=i;for(;r>i;)r-=i;r<Number.EPSILON&&(r=s?0:i),!0!==this.aClockwise||s||(r===i?r=-i:r-=i);const a=this.aStartAngle+t*r;let o=this.aX+this.xRadius*Math.cos(a),l=this.aY+this.yRadius*Math.sin(a);if(0!==this.aRotation){const t=Math.cos(this.aRotation),e=Math.sin(this.aRotation),n=o-this.aX,i=l-this.aY;o=n*t-i*e+this.aX,l=n*e+i*t+this.aY}return n.set(o,l)}copy(t){return super.copy(t),this.aX=t.aX,this.aY=t.aY,this.xRadius=t.xRadius,this.yRadius=t.yRadius,this.aStartAngle=t.aStartAngle,this.aEndAngle=t.aEndAngle,this.aClockwise=t.aClockwise,this.aRotation=t.aRotation,this}toJSON(){const t=super.toJSON();return t.aX=this.aX,t.aY=this.aY,t.xRadius=this.xRadius,t.yRadius=this.yRadius,t.aStartAngle=this.aStartAngle,t.aEndAngle=this.aEndAngle,t.aClockwise=this.aClockwise,t.aRotation=this.aRotation,t}fromJSON(t){return super.fromJSON(t),this.aX=t.aX,this.aY=t.aY,this.xRadius=t.xRadius,this.yRadius=t.yRadius,this.aStartAngle=t.aStartAngle,this.aEndAngle=t.aEndAngle,this.aClockwise=t.aClockwise,this.aRotation=t.aRotation,this}}fl.prototype.isEllipseCurve=!0;class gl extends fl{constructor(t,e,n,i,r,s){super(t,e,n,n,i,r,s),this.type="ArcCurve"}}function vl(){let t=0,e=0,n=0,i=0;function r(r,s,a,o){t=r,e=a,n=-3*r+3*s-2*a-o,i=2*r-2*s+a+o}return{initCatmullRom:function(t,e,n,i,s){r(e,n,s*(n-t),s*(i-e))},initNonuniformCatmullRom:function(t,e,n,i,s,a,o){let l=(e-t)/s-(n-t)/(s+a)+(n-e)/a,c=(n-e)/a-(i-e)/(a+o)+(i-n)/o;l*=a,c*=a,r(e,n,l,c)},calc:function(r){const s=r*r;return t+e*r+n*s+i*(s*r)}}}gl.prototype.isArcCurve=!0;const yl=new Lt,xl=new vl,_l=new vl,wl=new vl;class bl extends ml{constructor(t=[],e=!1,n="centripetal",i=.5){super(),this.type="CatmullRomCurve3",this.points=t,this.closed=e,this.curveType=n,this.tension=i}getPoint(t,e=new Lt){const n=e,i=this.points,r=i.length,s=(r-(this.closed?0:1))*t;let a,o,l=Math.floor(s),c=s-l;this.closed?l+=l>0?0:(Math.floor(Math.abs(l)/r)+1)*r:0===c&&l===r-1&&(l=r-2,c=1),this.closed||l>0?a=i[(l-1)%r]:(yl.subVectors(i[0],i[1]).add(i[0]),a=yl);const h=i[l%r],u=i[(l+1)%r];if(this.closed||l+2<r?o=i[(l+2)%r]:(yl.subVectors(i[r-1],i[r-2]).add(i[r-1]),o=yl),"centripetal"===this.curveType||"chordal"===this.curveType){const t="chordal"===this.curveType?.5:.25;let e=Math.pow(a.distanceToSquared(h),t),n=Math.pow(h.distanceToSquared(u),t),i=Math.pow(u.distanceToSquared(o),t);n<1e-4&&(n=1),e<1e-4&&(e=n),i<1e-4&&(i=n),xl.initNonuniformCatmullRom(a.x,h.x,u.x,o.x,e,n,i),_l.initNonuniformCatmullRom(a.y,h.y,u.y,o.y,e,n,i),wl.initNonuniformCatmullRom(a.z,h.z,u.z,o.z,e,n,i)}else"catmullrom"===this.curveType&&(xl.initCatmullRom(a.x,h.x,u.x,o.x,this.tension),_l.initCatmullRom(a.y,h.y,u.y,o.y,this.tension),wl.initCatmullRom(a.z,h.z,u.z,o.z,this.tension));return n.set(xl.calc(c),_l.calc(c),wl.calc(c)),n}copy(t){super.copy(t),this.points=[];for(let e=0,n=t.points.length;e<n;e++){const n=t.points[e];this.points.push(n.clone())}return this.closed=t.closed,this.curveType=t.curveType,this.tension=t.tension,this}toJSON(){const t=super.toJSON();t.points=[];for(let e=0,n=this.points.length;e<n;e++){const n=this.points[e];t.points.push(n.toArray())}return t.closed=this.closed,t.curveType=this.curveType,t.tension=this.tension,t