Transforms-1509c877.js 41 KB

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  1. /**
  2. * Cesium - https://github.com/CesiumGS/cesium
  3. *
  4. * Copyright 2011-2020 Cesium Contributors
  5. *
  6. * Licensed under the Apache License, Version 2.0 (the "License");
  7. * you may not use this file except in compliance with the License.
  8. * You may obtain a copy of the License at
  9. *
  10. * http://www.apache.org/licenses/LICENSE-2.0
  11. *
  12. * Unless required by applicable law or agreed to in writing, software
  13. * distributed under the License is distributed on an "AS IS" BASIS,
  14. * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  15. * See the License for the specific language governing permissions and
  16. * limitations under the License.
  17. *
  18. * Columbus View (Pat. Pend.)
  19. *
  20. * Portions licensed separately.
  21. * See https://github.com/CesiumGS/cesium/blob/master/LICENSE.md for full licensing details.
  22. */
  23. define(["exports","./when-8d13db60","./Check-70bec281","./Math-61ede240","./Cartographic-f27b0939","./Cartesian2-09435a6c","./BoundingSphere-c409f092","./Cartesian4-5af5bb24","./RuntimeError-ba10bc3e","./FeatureDetection-7bd32c34","./buildModuleUrl-392763e2"],function(e,S,T,g,f,u,P,i,c,t,d){function w(e,t,r,n){this.x=S.defaultValue(e,0),this.y=S.defaultValue(t,0),this.z=S.defaultValue(r,0),this.w=S.defaultValue(n,0)}var h=new f.Cartesian3;w.fromAxisAngle=function(e,t,r){T.Check.typeOf.object("axis",e),T.Check.typeOf.number("angle",t);var n=t/2,a=Math.sin(n),i=(h=f.Cartesian3.normalize(e,h)).x*a,o=h.y*a,s=h.z*a,l=Math.cos(n);return S.defined(r)?(r.x=i,r.y=o,r.z=s,r.w=l,r):new w(i,o,s,l)};var m=[1,2,0],y=new Array(3);w.fromRotationMatrix=function(e,t){var r,n,a,i,o;T.Check.typeOf.object("matrix",e);var s=e[P.Matrix3.COLUMN0ROW0],l=e[P.Matrix3.COLUMN1ROW1],u=e[P.Matrix3.COLUMN2ROW2],d=s+l+u;if(0<d)o=.5*(r=Math.sqrt(d+1)),r=.5/r,n=(e[P.Matrix3.COLUMN1ROW2]-e[P.Matrix3.COLUMN2ROW1])*r,a=(e[P.Matrix3.COLUMN2ROW0]-e[P.Matrix3.COLUMN0ROW2])*r,i=(e[P.Matrix3.COLUMN0ROW1]-e[P.Matrix3.COLUMN1ROW0])*r;else{var f=0;s<l&&(f=1),s<u&&l<u&&(f=2);var c=m[f],h=m[c];r=Math.sqrt(e[P.Matrix3.getElementIndex(f,f)]-e[P.Matrix3.getElementIndex(c,c)]-e[P.Matrix3.getElementIndex(h,h)]+1);var p=y;p[f]=.5*r,r=.5/r,o=(e[P.Matrix3.getElementIndex(h,c)]-e[P.Matrix3.getElementIndex(c,h)])*r,p[c]=(e[P.Matrix3.getElementIndex(c,f)]+e[P.Matrix3.getElementIndex(f,c)])*r,p[h]=(e[P.Matrix3.getElementIndex(h,f)]+e[P.Matrix3.getElementIndex(f,h)])*r,n=-p[0],a=-p[1],i=-p[2]}return S.defined(t)?(t.x=n,t.y=a,t.z=i,t.w=o,t):new w(n,a,i,o)};var r=new w,n=new w,a=new w,o=new w;w.fromHeadingPitchRoll=function(e,t){return T.Check.typeOf.object("headingPitchRoll",e),o=w.fromAxisAngle(f.Cartesian3.UNIT_X,e.roll,r),a=w.fromAxisAngle(f.Cartesian3.UNIT_Y,-e.pitch,t),t=w.multiply(a,o,a),n=w.fromAxisAngle(f.Cartesian3.UNIT_Z,-e.heading,r),w.multiply(n,t,t)};var l=new f.Cartesian3,s=new f.Cartesian3,p=new w,C=new w,x=new w;w.packedLength=4,w.pack=function(e,t,r){return T.Check.typeOf.object("value",e),T.Check.defined("array",t),r=S.defaultValue(r,0),t[r++]=e.x,t[r++]=e.y,t[r++]=e.z,t[r]=e.w,t},w.unpack=function(e,t,r){return T.Check.defined("array",e),t=S.defaultValue(t,0),S.defined(r)||(r=new w),r.x=e[t],r.y=e[t+1],r.z=e[t+2],r.w=e[t+3],r},w.packedInterpolationLength=3,w.convertPackedArrayForInterpolation=function(e,t,r,n){w.unpack(e,4*r,x),w.conjugate(x,x);for(var a=0,i=r-t+1;a<i;a++){var o=3*a;w.unpack(e,4*(t+a),p),w.multiply(p,x,p),p.w<0&&w.negate(p,p),w.computeAxis(p,l);var s=w.computeAngle(p);n[o]=l.x*s,n[o+1]=l.y*s,n[o+2]=l.z*s}},w.unpackInterpolationResult=function(e,t,r,n,a){S.defined(a)||(a=new w),f.Cartesian3.fromArray(e,0,s);var i=f.Cartesian3.magnitude(s);return w.unpack(t,4*n,C),0===i?w.clone(w.IDENTITY,p):w.fromAxisAngle(s,i,p),w.multiply(p,C,a)},w.clone=function(e,t){if(S.defined(e))return S.defined(t)?(t.x=e.x,t.y=e.y,t.z=e.z,t.w=e.w,t):new w(e.x,e.y,e.z,e.w)},w.conjugate=function(e,t){return T.Check.typeOf.object("quaternion",e),T.Check.typeOf.object("result",t),t.x=-e.x,t.y=-e.y,t.z=-e.z,t.w=e.w,t},w.magnitudeSquared=function(e){return T.Check.typeOf.object("quaternion",e),e.x*e.x+e.y*e.y+e.z*e.z+e.w*e.w},w.magnitude=function(e){return Math.sqrt(w.magnitudeSquared(e))},w.normalize=function(e,t){T.Check.typeOf.object("result",t);var r=1/w.magnitude(e),n=e.x*r,a=e.y*r,i=e.z*r,o=e.w*r;return t.x=n,t.y=a,t.z=i,t.w=o,t},w.inverse=function(e,t){T.Check.typeOf.object("result",t);var r=w.magnitudeSquared(e);return t=w.conjugate(e,t),w.multiplyByScalar(t,1/r,t)},w.add=function(e,t,r){return T.Check.typeOf.object("left",e),T.Check.typeOf.object("right",t),T.Check.typeOf.object("result",r),r.x=e.x+t.x,r.y=e.y+t.y,r.z=e.z+t.z,r.w=e.w+t.w,r},w.subtract=function(e,t,r){return T.Check.typeOf.object("left",e),T.Check.typeOf.object("right",t),T.Check.typeOf.object("result",r),r.x=e.x-t.x,r.y=e.y-t.y,r.z=e.z-t.z,r.w=e.w-t.w,r},w.negate=function(e,t){return T.Check.typeOf.object("quaternion",e),T.Check.typeOf.object("result",t),t.x=-e.x,t.y=-e.y,t.z=-e.z,t.w=-e.w,t},w.dot=function(e,t){return T.Check.typeOf.object("left",e),T.Check.typeOf.object("right",t),e.x*t.x+e.y*t.y+e.z*t.z+e.w*t.w},w.multiply=function(e,t,r){T.Check.typeOf.object("left",e),T.Check.typeOf.object("right",t),T.Check.typeOf.object("result",r);var n=e.x,a=e.y,i=e.z,o=e.w,s=t.x,l=t.y,u=t.z,d=t.w,f=o*s+n*d+a*u-i*l,c=o*l-n*u+a*d+i*s,h=o*u+n*l-a*s+i*d,p=o*d-n*s-a*l-i*u;return r.x=f,r.y=c,r.z=h,r.w=p,r},w.multiplyByVec=function(e,t,r){var n=new f.Cartesian3,a=new f.Cartesian3,i=new f.Cartesian3(e.x,e.y,e.z);n=f.Cartesian3.cross(i,t,n),a=f.Cartesian3.cross(i,n,a);var o=new f.Cartesian3;o=f.Cartesian3.multiplyByScalar(n,2*e.w,o);var s=new f.Cartesian3;return s=f.Cartesian3.multiplyByScalar(n,2,s),r=f.Cartesian3.add(t,o,r),r=f.Cartesian3.add(r,s,r)},w.multiplyByScalar=function(e,t,r){return T.Check.typeOf.object("quaternion",e),T.Check.typeOf.number("scalar",t),T.Check.typeOf.object("result",r),r.x=e.x*t,r.y=e.y*t,r.z=e.z*t,r.w=e.w*t,r},w.divideByScalar=function(e,t,r){return T.Check.typeOf.object("quaternion",e),T.Check.typeOf.number("scalar",t),T.Check.typeOf.object("result",r),r.x=e.x/t,r.y=e.y/t,r.z=e.z/t,r.w=e.w/t,r},w.computeAxis=function(e,t){T.Check.typeOf.object("quaternion",e),T.Check.typeOf.object("result",t);var r=e.w;if(Math.abs(r-1)<g.CesiumMath.EPSILON6)return t.x=t.y=t.z=0,t;var n=1/Math.sqrt(1-r*r);return t.x=e.x*n,t.y=e.y*n,t.z=e.z*n,t},w.computeAngle=function(e){return T.Check.typeOf.object("quaternion",e),Math.abs(e.w-1)<g.CesiumMath.EPSILON6?0:2*Math.acos(e.w)};var O=new w;w.lerp=function(e,t,r,n){return T.Check.typeOf.object("start",e),T.Check.typeOf.object("end",t),T.Check.typeOf.number("t",r),T.Check.typeOf.object("result",n),O=w.multiplyByScalar(t,r,O),n=w.multiplyByScalar(e,1-r,n),w.add(O,n,n)};var E=new w,D=new w,v=new w;w.slerp=function(e,t,r,n){T.Check.typeOf.object("start",e),T.Check.typeOf.object("end",t),T.Check.typeOf.number("t",r),T.Check.typeOf.object("result",n);var a=w.dot(e,t),i=t;if(a<0&&(a=-a,i=E=w.negate(t,E)),1-a<g.CesiumMath.EPSILON6)return w.lerp(e,i,r,n);var o=Math.acos(a);return D=w.multiplyByScalar(e,Math.sin((1-r)*o),D),v=w.multiplyByScalar(i,Math.sin(r*o),v),n=w.add(D,v,n),w.multiplyByScalar(n,1/Math.sin(o),n)},w.log=function(e,t){T.Check.typeOf.object("quaternion",e),T.Check.typeOf.object("result",t);var r=g.CesiumMath.acosClamped(e.w),n=0;return 0!==r&&(n=r/Math.sin(r)),f.Cartesian3.multiplyByScalar(e,n,t)},w.exp=function(e,t){T.Check.typeOf.object("cartesian",e),T.Check.typeOf.object("result",t);var r=f.Cartesian3.magnitude(e),n=0;return 0!==r&&(n=Math.sin(r)/r),t.x=e.x*n,t.y=e.y*n,t.z=e.z*n,t.w=Math.cos(r),t};var _=new f.Cartesian3,M=new f.Cartesian3,b=new w,N=new w;w.computeInnerQuadrangle=function(e,t,r,n){T.Check.typeOf.object("q0",e),T.Check.typeOf.object("q1",t),T.Check.typeOf.object("q2",r),T.Check.typeOf.object("result",n);var a=w.conjugate(t,b);w.multiply(a,r,N);var i=w.log(N,_);w.multiply(a,e,N);var o=w.log(N,M);return f.Cartesian3.add(i,o,i),f.Cartesian3.multiplyByScalar(i,.25,i),f.Cartesian3.negate(i,i),w.exp(i,b),w.multiply(t,b,n)},w.squad=function(e,t,r,n,a,i){T.Check.typeOf.object("q0",e),T.Check.typeOf.object("q1",t),T.Check.typeOf.object("s0",r),T.Check.typeOf.object("s1",n),T.Check.typeOf.number("t",a),T.Check.typeOf.object("result",i);var o=w.slerp(e,t,a,b),s=w.slerp(r,n,a,N);return w.slerp(o,s,2*a*(1-a),i)};for(var R=new w,I=1.9011074535173003,q=t.FeatureDetection.supportsTypedArrays()?new Float32Array(8):[],A=t.FeatureDetection.supportsTypedArrays()?new Float32Array(8):[],U=t.FeatureDetection.supportsTypedArrays()?new Float32Array(8):[],k=t.FeatureDetection.supportsTypedArrays()?new Float32Array(8):[],j=0;j<7;++j){var z=j+1,F=2*z+1;q[j]=1/(z*F),A[j]=z/F}function W(e,t,r){T.Check.defined("array",e),T.Check.defined("itemToFind",t),T.Check.defined("comparator",r);for(var n,a,i=0,o=e.length-1;i<=o;)if((a=r(e[n=~~((i+o)/2)],t))<0)i=n+1;else{if(!(0<a))return n;o=n-1}return~(o+1)}function L(e,t,r,n,a){this.xPoleWander=e,this.yPoleWander=t,this.xPoleOffset=r,this.yPoleOffset=n,this.ut1MinusUtc=a}function V(){var x=arguments,O=0,e=x[O++],E=function(e,t,r,n){r||(r=" ");var a=e.length>=t?"":Array(1+t-e.length>>>0).join(r);return n?e+a:a+e},D=function(e,t,r,n,a,i){var o=n-e.length;return 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e===t||S.defined(e)&&S.defined(t)&&e.x===t.x&&e.y===t.y&&e.z===t.z&&e.w===t.w},w.equalsEpsilon=function(e,t,r){return T.Check.typeOf.number("epsilon",r),e===t||S.defined(e)&&S.defined(t)&&Math.abs(e.x-t.x)<=r&&Math.abs(e.y-t.y)<=r&&Math.abs(e.z-t.z)<=r&&Math.abs(e.w-t.w)<=r},w.ZERO=Object.freeze(new w(0,0,0,0)),w.IDENTITY=Object.freeze(new w(0,0,0,1)),w.prototype.clone=function(e){return w.clone(this,e)},w.prototype.equals=function(e){return w.equals(this,e)},w.prototype.equalsEpsilon=function(e,t){return w.equalsEpsilon(this,e,t)},w.prototype.toString=function(){return"("+this.x+", "+this.y+", "+this.z+", "+this.w+")"};var Z=Object.freeze({SECONDS_PER_MILLISECOND:.001,SECONDS_PER_MINUTE:60,MINUTES_PER_HOUR:60,HOURS_PER_DAY:24,SECONDS_PER_HOUR:3600,MINUTES_PER_DAY:1440,SECONDS_PER_DAY:86400,DAYS_PER_JULIAN_CENTURY:36525,PICOSECOND:1e-9,MODIFIED_JULIAN_DATE_DIFFERENCE:2400000.5}),X=Object.freeze({UTC:0,TAI:1}),J=new Y,H=[31,28,31,30,31,30,31,31,30,31,30,31];function $(e,t){return 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e===t||S.defined(e)&&S.defined(t)&&g.CesiumMath.equalsEpsilon(e.heading,t.heading,r,n)&&g.CesiumMath.equalsEpsilon(e.pitch,t.pitch,r,n)&&g.CesiumMath.equalsEpsilon(e.roll,t.roll,r,n)},Ee.prototype.clone=function(e){return Ee.clone(this,e)},Ee.prototype.equals=function(e){return Ee.equals(this,e)},Ee.prototype.equalsEpsilon=function(e,t,r){return Ee.equalsEpsilon(this,e,t,r)},Ee.prototype.toString=function(){return"("+this.heading+", "+this.pitch+", "+this.roll+")"};var _e=new he(0,0,X.TAI);function Me(e,t,r){var n=_e;return n.dayNumber=t,n.secondsOfDay=r,he.daysDifference(n,e._sampleZeroDateTT)}function Se(o,s){if(o._chunkDownloadsInProgress[s])return o._chunkDownloadsInProgress[s];var e,l=S.when.defer();o._chunkDownloadsInProgress[s]=l;var t=o._xysFileUrlTemplate;return e=S.defined(t)?t.getDerivedResource({templateValues:{0:s}}):new d.Resource({url:d.buildModuleUrl("Assets/IAU2006_XYS/IAU2006_XYS_"+s+".json")}),S.when(e.fetchJson(),function(e){o._chunkDownloadsInProgress[s]=!1;for(var 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d,f,c=n-o*this._stepSizeDays,h=this._work,p=this._denominators,w=this._coef,m=this._xTable;for(d=0;d<=i;++d)h[d]=c-m[d];for(d=0;d<=i;++d){for(w[d]=1,f=0;f<=i;++f)f!==d&&(w[d]*=h[f]);w[d]*=p[d];var y=3*(o+d);r.x+=w[d]*u[y++],r.y+=w[d]*u[y++],r.s+=w[d]*u[y]}return r}}}};var Te={},ge={up:{south:"east",north:"west",west:"south",east:"north"},down:{south:"west",north:"east",west:"north",east:"south"},south:{up:"west",down:"east",west:"down",east:"up"},north:{up:"east",down:"west",west:"up",east:"down"},west:{up:"north",down:"south",north:"down",south:"up"},east:{up:"south",down:"north",north:"up",south:"down"}},Pe={north:[-1,0,0],east:[0,1,0],up:[0,0,1],south:[1,0,0],west:[0,-1,0],down:[0,0,-1]},be={},Ne={east:new f.Cartesian3,north:new f.Cartesian3,up:new f.Cartesian3,west:new f.Cartesian3,south:new f.Cartesian3,down:new f.Cartesian3},Re=new f.Cartesian3,Ie=new f.Cartesian3,qe=new f.Cartesian3;Te.localFrameToFixedFrameGenerator=function(o,s){if(!ge.hasOwnProperty(o)||!ge[o].hasOwnProperty(s))throw new T.DeveloperError("firstAxis and secondAxis must be east, north, up, west, south or down.");var e,l=ge[o][s],t=o+s;return S.defined(be[t])?e=be[t]:(e=function(e,t,r){if(!S.defined(e))throw new T.DeveloperError("origin is required.");if(S.defined(r)||(r=new P.Matrix4),f.Cartesian3.equalsEpsilon(e,f.Cartesian3.ZERO,g.CesiumMath.EPSILON14))f.Cartesian3.unpack(Pe[o],0,Re),f.Cartesian3.unpack(Pe[s],0,Ie),f.Cartesian3.unpack(Pe[l],0,qe);else if(g.CesiumMath.equalsEpsilon(e.x,0,g.CesiumMath.EPSILON14)&&g.CesiumMath.equalsEpsilon(e.y,0,g.CesiumMath.EPSILON14)){var n=g.CesiumMath.sign(e.z);f.Cartesian3.unpack(Pe[o],0,Re),"east"!==o&&"west"!==o&&f.Cartesian3.multiplyByScalar(Re,n,Re),f.Cartesian3.unpack(Pe[s],0,Ie),"east"!==s&&"west"!==s&&f.Cartesian3.multiplyByScalar(Ie,n,Ie),f.Cartesian3.unpack(Pe[l],0,qe),"east"!==l&&"west"!==l&&f.Cartesian3.multiplyByScalar(qe,n,qe)}else{(t=S.defaultValue(t,u.Ellipsoid.WGS84)).geodeticSurfaceNormal(e,Ne.up);var a=Ne.up,i=Ne.east;i.x=-e.y,i.y=e.x,i.z=0,f.Cartesian3.normalize(i,Ne.east),f.Cartesian3.cross(a,i,Ne.north),f.Cartesian3.multiplyByScalar(Ne.up,-1,Ne.down),f.Cartesian3.multiplyByScalar(Ne.east,-1,Ne.west),f.Cartesian3.multiplyByScalar(Ne.north,-1,Ne.south),Re=Ne[o],Ie=Ne[s],qe=Ne[l]}return r[0]=Re.x,r[1]=Re.y,r[2]=Re.z,r[3]=0,r[4]=Ie.x,r[5]=Ie.y,r[6]=Ie.z,r[7]=0,r[8]=qe.x,r[9]=qe.y,r[10]=qe.z,r[11]=0,r[12]=e.x,r[13]=e.y,r[14]=e.z,r[15]=1,r},be[t]=e),e},Te.eastNorthUpToFixedFrame=Te.localFrameToFixedFrameGenerator("east","north"),Te.northEastDownToFixedFrame=Te.localFrameToFixedFrameGenerator("north","east"),Te.northUpEastToFixedFrame=Te.localFrameToFixedFrameGenerator("north","up"),Te.northWestUpToFixedFrame=Te.localFrameToFixedFrameGenerator("north","west");var Ae=new w,Ue=new f.Cartesian3(1,1,1),ke=new P.Matrix4;Te.headingPitchRollToFixedFrame=function(e,t,r,n,a){T.Check.typeOf.object("HeadingPitchRoll",t),n=S.defaultValue(n,Te.eastNorthUpToFixedFrame);var i=w.fromHeadingPitchRoll(t,Ae),o=P.Matrix4.fromTranslationQuaternionRotationScale(f.Cartesian3.ZERO,i,Ue,ke);return a=n(e,r,a),P.Matrix4.multiply(a,o,a)};var je=new P.Matrix4,ze=new P.Matrix3;Te.headingPitchRollQuaternion=function(e,t,r,n,a){T.Check.typeOf.object("HeadingPitchRoll",t);var i=Te.headingPitchRollToFixedFrame(e,t,r,n,je),o=P.Matrix4.getMatrix3(i,ze);return w.fromRotationMatrix(o,a)};var Fe=new f.Cartesian3(1,1,1),We=new f.Cartesian3,Le=new P.Matrix4,Ve=new P.Matrix4,Ye=new P.Matrix3,Be=new w;Te.fixedFrameToHeadingPitchRoll=function(e,t,r,n){T.Check.defined("transform",e),t=S.defaultValue(t,u.Ellipsoid.WGS84),r=S.defaultValue(r,Te.eastNorthUpToFixedFrame),S.defined(n)||(n=new Ee);var a=P.Matrix4.getTranslation(e,We);if(f.Cartesian3.equals(a,f.Cartesian3.ZERO))return n.heading=0,n.pitch=0,n.roll=0,n;var i=P.Matrix4.inverseTransformation(r(a,t,Le),Le),o=P.Matrix4.setScale(e,Fe,Ve);o=P.Matrix4.setTranslation(o,f.Cartesian3.ZERO,o),i=P.Matrix4.multiply(i,o,i);var s=w.fromRotationMatrix(P.Matrix4.getMatrix3(i,Ye),Be);return s=w.normalize(s,s),Ee.fromQuaternion(s,n)};var Ge=g.CesiumMath.TWO_PI/86400,Ze=new he;Te.computeTemeToPseudoFixedMatrix=function(e,t){if(!S.defined(e))throw new T.DeveloperError("date is required.");var r,n=(Ze=he.addSeconds(e,-he.computeTaiMinusUtc(e),Ze)).dayNumber,a=Ze.secondsOfDay,i=n-2451545,o=(24110.54841+(r=43200<=a?(i+.5)/Z.DAYS_PER_JULIAN_CENTURY:(i-.5)/Z.DAYS_PER_JULIAN_CENTURY)*(8640184.812866+r*(.093104+-62e-7*r)))*Ge%g.CesiumMath.TWO_PI+(72921158553e-15+11772758384668e-32*(n-2451545.5))*((a+.5*Z.SECONDS_PER_DAY)%Z.SECONDS_PER_DAY),s=Math.cos(o),l=Math.sin(o);return S.defined(t)?(t[0]=s,t[1]=-l,t[2]=0,t[3]=l,t[4]=s,t[5]=0,t[6]=0,t[7]=0,t[8]=1,t):new P.Matrix3(s,l,0,-l,s,0,0,0,1)},Te.iau2006XysData=new ve,Te.earthOrientationParameters=we.NONE;var Xe=32.184;Te.preloadIcrfFixed=function(e){var t=e.start.dayNumber,r=e.start.secondsOfDay+Xe,n=e.stop.dayNumber,a=e.stop.secondsOfDay+Xe,i=Te.iau2006XysData.preload(t,r,n,a),o=Te.earthOrientationParameters.getPromiseToLoad();return S.when.all([i,o])},Te.computeIcrfToFixedMatrix=function(e,t){if(!S.defined(e))throw new T.DeveloperError("date is required.");S.defined(t)||(t=new P.Matrix3);var r=Te.computeFixedToIcrfMatrix(e,t);if(S.defined(r))return P.Matrix3.transpose(r,t)};var Je=new De(0,0,0),He=new L(0,0,0,0,0,0),$e=new P.Matrix3,Qe=new P.Matrix3;Te.computeFixedToIcrfMatrix=function(e,t){if(!S.defined(e))throw new T.DeveloperError("date is required.");S.defined(t)||(t=new P.Matrix3);var r=Te.earthOrientationParameters.compute(e,He);if(S.defined(r)){var n=e.dayNumber,a=e.secondsOfDay+Xe,i=Te.iau2006XysData.computeXysRadians(n,a,Je);if(S.defined(i)){var o=i.x+r.xPoleOffset,s=i.y+r.yPoleOffset,l=1/(1+Math.sqrt(1-o*o-s*s)),u=$e;u[0]=1-l*o*o,u[3]=-l*o*s,u[6]=o,u[1]=-l*o*s,u[4]=1-l*s*s,u[7]=s,u[2]=-o,u[5]=-s,u[8]=1-l*(o*o+s*s);var d=P.Matrix3.fromRotationZ(-i.s,Qe),f=P.Matrix3.multiply(u,d,$e),c=e.dayNumber-2451545,h=(e.secondsOfDay-he.computeTaiMinusUtc(e)+r.ut1MinusUtc)/Z.SECONDS_PER_DAY,p=.779057273264+h+.00273781191135448*(c+h);p=p%1*g.CesiumMath.TWO_PI;var w=P.Matrix3.fromRotationZ(p,Qe),m=P.Matrix3.multiply(f,w,$e),y=Math.cos(r.xPoleWander),C=Math.cos(r.yPoleWander),x=Math.sin(r.xPoleWander),O=Math.sin(r.yPoleWander),E=n-2451545+a/Z.SECONDS_PER_DAY,D=-47e-6*(E/=36525)*g.CesiumMath.RADIANS_PER_DEGREE/3600,v=Math.cos(D),_=Math.sin(D),M=Qe;return M[0]=y*v,M[1]=y*_,M[2]=x,M[3]=-C*_+O*x*v,M[4]=C*v+O*x*_,M[5]=-O*y,M[6]=-O*_-C*x*v,M[7]=O*v-C*x*_,M[8]=C*y,P.Matrix3.multiply(m,M,t)}}};var Ke=new i.Cartesian4;Te.pointToWindowCoordinates=function(e,t,r,n){return(n=Te.pointToGLWindowCoordinates(e,t,r,n)).y=2*t[5]-n.y,n},Te.pointToGLWindowCoordinates=function(e,t,r,n){if(!S.defined(e))throw new T.DeveloperError("modelViewProjectionMatrix is required.");if(!S.defined(t))throw new T.DeveloperError("viewportTransformation is required.");if(!S.defined(r))throw new T.DeveloperError("point is required.");S.defined(n)||(n=new u.Cartesian2);var a=Ke;return P.Matrix4.multiplyByVector(e,i.Cartesian4.fromElements(r.x,r.y,r.z,1,a),a),i.Cartesian4.multiplyByScalar(a,1/a.w,a),P.Matrix4.multiplyByVector(t,a,a),u.Cartesian2.fromCartesian4(a,n)};var et=new f.Cartesian3,tt=new f.Cartesian3,rt=new f.Cartesian3;Te.rotationMatrixFromPositionVelocity=function(e,t,r,n){if(!S.defined(e))throw new T.DeveloperError("position is required.");if(!S.defined(t))throw new T.DeveloperError("velocity is required.");var a=S.defaultValue(r,u.Ellipsoid.WGS84).geodeticSurfaceNormal(e,et),i=f.Cartesian3.cross(t,a,tt);f.Cartesian3.equalsEpsilon(i,f.Cartesian3.ZERO,g.CesiumMath.EPSILON6)&&(i=f.Cartesian3.clone(f.Cartesian3.UNIT_X,i));var o=f.Cartesian3.cross(i,t,rt);return f.Cartesian3.normalize(o,o),f.Cartesian3.cross(t,o,i),f.Cartesian3.negate(i,i),f.Cartesian3.normalize(i,i),S.defined(n)||(n=new P.Matrix3),n[0]=t.x,n[1]=t.y,n[2]=t.z,n[3]=i.x,n[4]=i.y,n[5]=i.z,n[6]=o.x,n[7]=o.y,n[8]=o.z,n};var nt=new P.Matrix4(0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1),at=new f.Cartographic,it=new f.Cartesian3,ot=new f.Cartesian3,st=new P.Matrix3,lt=new P.Matrix4,ut=new P.Matrix4;Te.basisTo2D=function(e,t,r){if(!S.defined(e))throw new T.DeveloperError("projection is required.");if(!S.defined(t))throw new T.DeveloperError("matrix is required.");if(!S.defined(r))throw new T.DeveloperError("result is required.");var n=P.Matrix4.getTranslation(t,ot),a=e.ellipsoid,i=a.cartesianToCartographic(n,at),o=e.project(i,it);f.Cartesian3.fromElements(o.z,o.x,o.y,o);var s=Te.eastNorthUpToFixedFrame(n,a,lt),l=P.Matrix4.inverseTransformation(s,ut),u=P.Matrix4.getMatrix3(t,st),d=P.Matrix4.multiplyByMatrix3(l,u,r);return P.Matrix4.multiply(nt,d,r),P.Matrix4.setTranslation(r,o,r),r},Te.wgs84To2DModelMatrix=function(e,t,r){if(!S.defined(e))throw new T.DeveloperError("projection is required.");if(!S.defined(t))throw new T.DeveloperError("center is required.");if(!S.defined(r))throw new T.DeveloperError("result is required.");var n=e.ellipsoid,a=Te.eastNorthUpToFixedFrame(t,n,lt),i=P.Matrix4.inverseTransformation(a,ut),o=n.cartesianToCartographic(t,at),s=e.project(o,it);f.Cartesian3.fromElements(s.z,s.x,s.y,s);var l=P.Matrix4.fromTranslation(s,lt);return P.Matrix4.multiply(nt,i,r),P.Matrix4.multiply(l,r,r),r},Te.buildUp=function(e,t){var r=t.clone(),n=e.clone();n=f.Cartesian3.normalize(n,n),1<=Math.abs(f.Cartesian3.dot(n,r))&&(n=Math.abs(f.Cartesian3.dot(r,f.Cartesian3.UNIT_Y))<1?f.Cartesian3.clone(f.Cartesian3.UNIT_Y,n):f.Cartesian3.clone(f.Cartesian3.UNIT_Z,n));var a=new f.Cartesian3;return f.Cartesian3.cross(n,r,a),a=f.Cartesian3.normalize(a,a),f.Cartesian3.cross(r,a,n),n=f.Cartesian3.normalize(n,n)},Te.getHeading=function(e,t){var r;return r=g.CesiumMath.equalsEpsilon(Math.abs(e.z),1,g.CesiumMath.EPSILON3)?Math.atan2(t.y,t.x)-g.CesiumMath.PI_OVER_TWO:Math.atan2(e.y,e.x)-g.CesiumMath.PI_OVER_TWO,g.CesiumMath.TWO_PI-g.CesiumMath.zeroToTwoPi(r)},Te.convertToColumbusCartesian=function(e){var t=new P.GeographicProjection,r=t.ellipsoid,n=new f.Cartesian3,a=new f.Cartographic;return r.cartesianToCartographic(e,a),t.project(a,n),f.Cartesian3.fromElements(n.z,n.x,n.y)},Te.convertTo3DCartesian=function(e){var t=new P.GeographicProjection,r=t.ellipsoid,n=new f.Cartesian3,a=new f.Cartographic;return n=f.Cartesian3.fromElements(e.y,e.z,e.x),t.unproject(n,a),r.cartographicToCartesian(a,n)},e.Quaternion=w,e.Transforms=Te});