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i.Interval(e,r):{start:r,stop:e}}const t=Math.sqrt(l/f);return new i.Interval(t,t)}return c<1?(l=c-1,f=r.Cartesian3.magnitudeSquared(u),h=f*l,m=d*d-h,p=-d+Math.sqrt(m),new i.Interval(0,p/f)):d<0?(f=r.Cartesian3.magnitudeSquared(u),new i.Interval(0,-d/f)):void 0};const x=new r.Cartesian3,P=new r.Cartesian3,N=new r.Cartesian3,L=new r.Cartesian3,I=new r.Cartesian3,z=new r.Matrix3,T=new r.Matrix3,U=new r.Matrix3,W=new r.Matrix3,B=new r.Matrix3,V=new r.Matrix3,Z=new r.Matrix3,A=new r.Cartesian3,k=new r.Cartesian3,j=new r.Cartographic;m.grazingAltitudeLocation=function(e,i){if(!t.defined(e))throw new n.DeveloperError("ray is required.");if(!t.defined(i))throw new n.DeveloperError("ellipsoid is required.");const o=e.origin,s=e.direction;if(!r.Cartesian3.equals(o,r.Cartesian3.ZERO)){const e=i.geodeticSurfaceNormal(o,x);if(r.Cartesian3.dot(s,e)>=0)return o}const u=t.defined(this.rayEllipsoid(e,i)),c=i.transformPositionToScaledSpace(s,x),d=r.Cartesian3.normalize(c,c),l=r.Cartesian3.mostOrthogonalAxis(c,L),f=r.Cartesian3.normalize(r.Cartesian3.cross(l,d,P),P),h=r.Cartesian3.normalize(r.Cartesian3.cross(d,f,N),N),m=z;m[0]=d.x,m[1]=d.y,m[2]=d.z,m[3]=f.x,m[4]=f.y,m[5]=f.z,m[6]=h.x,m[7]=h.y,m[8]=h.z;const p=r.Matrix3.transpose(m,T),C=r.Matrix3.fromScale(i.radii,U),w=r.Matrix3.fromScale(i.oneOverRadii,W),M=B;M[0]=0,M[1]=-s.z,M[2]=s.y,M[3]=s.z,M[4]=0,M[5]=-s.x,M[6]=-s.y,M[7]=s.x,M[8]=0;const b=r.Matrix3.multiply(r.Matrix3.multiply(p,w,V),M,V),g=r.Matrix3.multiply(r.Matrix3.multiply(b,C,Z),m,Z),q=r.Matrix3.multiplyByVector(b,o,I),E=O(g,r.Cartesian3.negate(q,x),0,0,1);let y,v;const D=E.length;if(D>0){let e=r.Cartesian3.clone(r.Cartesian3.ZERO,k),t=Number.NEGATIVE_INFINITY;for(let i=0;i<D;++i){y=r.Matrix3.multiplyByVector(C,r.Matrix3.multiplyByVector(m,E[i],A),A);const n=r.Cartesian3.normalize(r.Cartesian3.subtract(y,o,L),L),a=r.Cartesian3.dot(n,s);a>t&&(t=a,e=r.Cartesian3.clone(y,e))}const n=i.cartesianToCartographic(e,j);return t=a.CesiumMath.clamp(t,0,1),v=r.Cartesian3.magnitude(r.Cartesian3.subtract(e,o,L))*Math.sqrt(1-t*t),v=u?-v:v,n.height=v,i.cartographicToCartesian(n,new r.Cartesian3)}};const F=new r.Cartesian3;m.lineSegmentPlane=function(e,i,o,s){if(!t.defined(e))throw new n.DeveloperError("endPoint0 is required.");if(!t.defined(i))throw new n.DeveloperError("endPoint1 is required.");if(!t.defined(o))throw new n.DeveloperError("plane is required.");t.defined(s)||(s=new r.Cartesian3);const u=r.Cartesian3.subtract(i,e,F),c=o.normal,d=r.Cartesian3.dot(c,u);if(Math.abs(d)<a.CesiumMath.EPSILON6)return;const l=r.Cartesian3.dot(c,e),f=-(o.distance+l)/d;return f<0||f>1?void 0:(r.Cartesian3.multiplyByScalar(u,f,s),r.Cartesian3.add(e,s,s),s)},m.trianglePlaneIntersection=function(e,i,a,o){if(!t.defined(e)||!t.defined(i)||!t.defined(a)||!t.defined(o))throw new n.DeveloperError("p0, p1, p2, and plane are required.");const s=o.normal,u=o.distance,c=r.Cartesian3.dot(s,e)+u<0,d=r.Cartesian3.dot(s,i)+u<0,l=r.Cartesian3.dot(s,a)+u<0;let f,h,p=0;if(p+=c?1:0,p+=d?1:0,p+=l?1:0,1!==p&&2!==p||(f=new r.Cartesian3,h=new r.Cartesian3),1===p){if(c)return m.lineSegmentPlane(e,i,o,f),m.lineSegmentPlane(e,a,o,h),{positions:[e,i,a,f,h],indices:[0,3,4,1,2,4,1,4,3]};if(d)return m.lineSegmentPlane(i,a,o,f),m.lineSegmentPlane(i,e,o,h),{positions:[e,i,a,f,h],indices:[1,3,4,2,0,4,2,4,3]};if(l)return m.lineSegmentPlane(a,e,o,f),m.lineSegmentPlane(a,i,o,h),{positions:[e,i,a,f,h],indices:[2,3,4,0,1,4,0,4,3]}}else if(2===p){if(!c)return m.lineSegmentPlane(i,e,o,f),m.lineSegmentPlane(a,e,o,h),{positions:[e,i,a,f,h],indices:[1,2,4,1,4,3,0,3,4]};if(!d)return m.lineSegmentPlane(a,i,o,f),m.lineSegmentPlane(e,i,o,h),{positions:[e,i,a,f,h],indices:[2,0,4,2,4,3,1,3,4]};if(!l)return m.lineSegmentPlane(e,a,o,f),m.lineSegmentPlane(i,a,o,h),{positions:[e,i,a,f,h],indices:[0,1,4,0,4,3,2,3,4]}}},e.IntersectionTests=m,e.Ray=h}));