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EllipsoidRhumbLine-5519960c.js

EllipsoidRhumbLine-5519960c.js 7.1 KB
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  1. /**
    2. 

  2.  * @license
    3. 

  3.  * Cesium - https://github.com/CesiumGS/cesium
    4. 

  4.  * Version 1.99
    5. 

  5.  *
    6. 

  6.  * Copyright 2011-2022 Cesium Contributors
    7. 

  7.  *
    8. 

  8.  * Licensed under the Apache License, Version 2.0 (the "License");
    9. 

  9.  * you may not use this file except in compliance with the License.
    10. 

  10.  * You may obtain a copy of the License at
    11. 

  11.  *
    12. 

  12.  * http://www.apache.org/licenses/LICENSE-2.0
    13. 

  13.  *
    14. 

  14.  * Unless required by applicable law or agreed to in writing, software
    15. 

  15.  * distributed under the License is distributed on an "AS IS" BASIS,
    16. 

  16.  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    17. 

  17.  * See the License for the specific language governing permissions and
    18. 

  18.  * limitations under the License.
    19. 

  19.  *
    20. 

  20.  * Columbus View (Pat. Pend.)
    21. 

  21.  *
    22. 

  22.  * Portions licensed separately.
    23. 

  23.  * See https://github.com/CesiumGS/cesium/blob/main/LICENSE.md for full licensing details.
    24. 

  24.  */
    25. 

  25. define(["exports","./Matrix3-edb29a7e","./defaultValue-135942ca","./Math-a304e2d6"],(function(t,i,e,a){"use strict";function n(t,i,e){if(0===t)return i*e;const a=t*t,n=a*a,s=n*a,h=s*a,u=h*a,o=u*a,l=e;return i*((1-a/4-3*n/64-5*s/256-175*h/16384-441*u/65536-4851*o/1048576)*l-(3*a/8+3*n/32+45*s/1024+105*h/4096+2205*u/131072+6237*o/524288)*Math.sin(2*l)+(15*n/256+45*s/1024+525*h/16384+1575*u/65536+155925*o/8388608)*Math.sin(4*l)-(35*s/3072+175*h/12288+3675*u/262144+13475*o/1048576)*Math.sin(6*l)+(315*h/131072+2205*u/524288+43659*o/8388608)*Math.sin(8*l)-(693*u/1310720+6237*o/5242880)*Math.sin(10*l)+1001*o/8388608*Math.sin(12*l))}function s(t,i){if(0===t)return Math.log(Math.tan(.5*(a.CesiumMath.PI_OVER_TWO+i)));const e=t*Math.sin(i);return Math.log(Math.tan(.5*(a.CesiumMath.PI_OVER_TWO+i)))-t/2*Math.log((1+e)/(1-e))}const h=new i.Cartesian3,u=new i.Cartesian3;function o(t,e,o,l){i.Cartesian3.normalize(l.cartographicToCartesian(e,u),h),i.Cartesian3.normalize(l.cartographicToCartesian(o,u),u);const r=l.maximumRadius,d=l.minimumRadius,c=r*r,M=d*d;t._ellipticitySquared=(c-M)/c,t._ellipticity=Math.sqrt(t._ellipticitySquared),t._start=i.Cartographic.clone(e,t._start),t._start.height=0,t._end=i.Cartographic.clone(o,t._end),t._end.height=0,t._heading=function(t,i,e,n,h){const u=s(t._ellipticity,e),o=s(t._ellipticity,h);return Math.atan2(a.CesiumMath.negativePiToPi(n-i),o-u)}(t,e.longitude,e.latitude,o.longitude,o.latitude),t._distance=function(t,i,e,s,h,u,o){const l=t._heading,r=u-s;let d=0;if(a.CesiumMath.equalsEpsilon(Math.abs(l),a.CesiumMath.PI_OVER_TWO,a.CesiumMath.EPSILON8))if(i===e)d=i*Math.cos(h)*a.CesiumMath.negativePiToPi(r);else{const e=Math.sin(h);d=i*Math.cos(h)*a.CesiumMath.negativePiToPi(r)/Math.sqrt(1-t._ellipticitySquared*e*e)}else{const e=n(t._ellipticity,i,h);d=(n(t._ellipticity,i,o)-e)/Math.cos(l)}return Math.abs(d)}(t,l.maximumRadius,l.minimumRadius,e.longitude,e.latitude,o.longitude,o.latitude)}function l(t,h,u,o,l,r){if(0===u)return i.Cartographic.clone(t,r);const d=l*l;let c,M,g;if(Math.abs(a.CesiumMath.PI_OVER_TWO-Math.abs(h))>a.CesiumMath.EPSILON8){M=function(t,i,e){const a=t/e;if(0===i)return a;const n=a*a,s=n*a,h=s*a,u=i*i,o=u*u,l=o*u,r=l*u,d=r*u,c=d*u,M=Math.sin(2*a),g=Math.cos(2*a),m=Math.sin(4*a),_=Math.cos(4*a),p=Math.sin(6*a),C=Math.cos(6*a),f=Math.sin(8*a),P=Math.cos(8*a),O=Math.sin(10*a);return a+a*u/4+7*a*o/64+15*a*l/256+579*a*r/16384+1515*a*d/65536+16837*a*c/1048576+(3*a*o/16+45*a*l/256-a*(32*n-561)*r/4096-a*(232*n-1677)*d/16384+a*(399985-90560*n+512*h)*c/5242880)*g+(21*a*l/256+483*a*r/4096-a*(224*n-1969)*d/16384-a*(33152*n-112599)*c/1048576)*_+(151*a*r/4096+4681*a*d/65536+1479*a*c/16384-453*s*c/32768)*C+(1097*a*d/65536+42783*a*c/1048576)*P+8011*a*c/1048576*Math.cos(10*a)+(3*u/8+3*o/16+213*l/2048-3*n*l/64+255*r/4096-33*n*r/512+20861*d/524288-33*n*d/512+h*d/1024+28273*c/1048576-471*n*c/8192+9*h*c/4096)*M+(21*o/256+21*l/256+533*r/8192-21*n*r/512+197*d/4096-315*n*d/4096+584039*c/16777216-12517*n*c/131072+7*h*c/2048)*m+(151*l/6144+151*r/4096+5019*d/131072-453*n*d/16384+26965*c/786432-8607*n*c/131072)*p+(1097*r/131072+1097*d/65536+225797*c/10485760-1097*n*c/65536)*f+(8011*d/2621440+8011*c/1048576)*O+293393*c/251658240*Math.sin(12*a)}(n(l,o,t.latitude)+u*Math.cos(h),l,o);const i=s(l,t.latitude),e=s(l,M);g=Math.tan(h)*(e-i),c=a.CesiumMath.negativePiToPi(t.longitude+g)}else{let i;if(M=t.latitude,0===l)i=o*Math.cos(t.latitude);else{const e=Math.sin(t.latitude);i=o*Math.cos(t.latitude)/Math.sqrt(1-d*e*e)}g=u/i,c=h>0?a.CesiumMath.negativePiToPi(t.longitude+g):a.CesiumMath.negativePiToPi(t.longitude-g)}return e.defined(r)?(r.longitude=c,r.latitude=M,r.height=0,r):new i.Cartographic(c,M,0)}function r(t,a,n){const s=e.defaultValue(n,i.Ellipsoid.WGS84);this._ellipsoid=s,this._start=new i.Cartographic,this._end=new i.Cartographic,this._heading=void 0,this._distance=void 0,this._ellipticity=void 0,this._ellipticitySquared=void 0,e.defined(t)&&e.defined(a)&&o(this,t,a,s)}Object.defineProperties(r.prototype,{ellipsoid:{get:function(){return this._ellipsoid}},surfaceDistance:{get:function(){return this._distance}},start:{get:function(){return this._start}},end:{get:function(){return this._end}},heading:{get:function(){return this._heading}}}),r.fromStartHeadingDistance=function(t,n,s,h,u){const o=e.defaultValue(h,i.Ellipsoid.WGS84),d=o.maximumRadius,c=o.minimumRadius,M=d*d,g=c*c,m=Math.sqrt((M-g)/M),_=l(t,n=a.CesiumMath.negativePiToPi(n),s,o.maximumRadius,m);return!e.defined(u)||e.defined(h)&&!h.equals(u.ellipsoid)?new r(t,_,o):(u.setEndPoints(t,_),u)},r.prototype.setEndPoints=function(t,i){o(this,t,i,this._ellipsoid)},r.prototype.interpolateUsingFraction=function(t,i){return this.interpolateUsingSurfaceDistance(t*this._distance,i)},r.prototype.interpolateUsingSurfaceDistance=function(t,i){return l(this._start,this._heading,t,this._ellipsoid.maximumRadius,this._ellipticity,i)},r.prototype.findIntersectionWithLongitude=function(t,n){const s=this._ellipticity,h=this._heading,u=Math.abs(h),o=this._start;if(t=a.CesiumMath.negativePiToPi(t),a.CesiumMath.equalsEpsilon(Math.abs(t),Math.PI,a.CesiumMath.EPSILON14)&&(t=a.CesiumMath.sign(o.longitude)*Math.PI),e.defined(n)||(n=new i.Cartographic),Math.abs(a.CesiumMath.PI_OVER_TWO-u)<=a.CesiumMath.EPSILON8)return n.longitude=t,n.latitude=o.latitude,n.height=0,n;if(a.CesiumMath.equalsEpsilon(Math.abs(a.CesiumMath.PI_OVER_TWO-u),a.CesiumMath.PI_OVER_TWO,a.CesiumMath.EPSILON8)){if(a.CesiumMath.equalsEpsilon(t,o.longitude,a.CesiumMath.EPSILON12))return;return n.longitude=t,n.latitude=a.CesiumMath.PI_OVER_TWO*a.CesiumMath.sign(a.CesiumMath.PI_OVER_TWO-h),n.height=0,n}const l=o.latitude,r=s*Math.sin(l),d=Math.tan(.5*(a.CesiumMath.PI_OVER_TWO+l))*Math.exp((t-o.longitude)/Math.tan(h)),c=(1+r)/(1-r);let M,g=o.latitude;do{M=g;const t=s*Math.sin(M),i=(1+t)/(1-t);g=2*Math.atan(d*Math.pow(i/c,s/2))-a.CesiumMath.PI_OVER_TWO}while(!a.CesiumMath.equalsEpsilon(g,M,a.CesiumMath.EPSILON12));return n.longitude=t,n.latitude=g,n.height=0,n},r.prototype.findIntersectionWithLatitude=function(t,n){const h=this._ellipticity,u=this._heading,o=this._start;if(a.CesiumMath.equalsEpsilon(Math.abs(u),a.CesiumMath.PI_OVER_TWO,a.CesiumMath.EPSILON8))return;const l=s(h,o.latitude),r=s(h,t),d=Math.tan(u)*(r-l),c=a.CesiumMath.negativePiToPi(o.longitude+d);return e.defined(n)?(n.longitude=c,n.latitude=t,n.height=0,n):new i.Cartographic(c,t,0)},t.EllipsoidRhumbLine=r}));
    26.