EllipsoidRhumbLine-cbcd6a13.js

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 * Copyright 2011-2020 Cesium Contributors
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 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
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 * http://www.apache.org/licenses/LICENSE-2.0
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 *
 * Columbus View (Pat. Pend.)
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define(["exports","./when-60b00257","./Check-4274a1fd","./Math-9d37f659","./Cartesian2-2951f601"],function(t,m,i,_,g){"use strict";function p(t,i,a){if(0===t)return i*a;var e=t*t,n=e*e,s=n*e,h=s*e,u=h*e,r=u*e,o=a;return i*((1-e/4-3*n/64-5*s/256-175*h/16384-441*u/65536-4851*r/1048576)*o-(3*e/8+3*n/32+45*s/1024+105*h/4096+2205*u/131072+6237*r/524288)*Math.sin(2*o)+(15*n/256+45*s/1024+525*h/16384+1575*u/65536+155925*r/8388608)*Math.sin(4*o)-(35*s/3072+175*h/12288+3675*u/262144+13475*r/1048576)*Math.sin(6*o)+(315*h/131072+2205*u/524288+43659*r/8388608)*Math.sin(8*o)-(693*u/1310720+6237*r/5242880)*Math.sin(10*o)+1001*r/8388608*Math.sin(12*o))}function C(t,i){if(0===t)return Math.log(Math.tan(.5*(_.CesiumMath.PI_OVER_TWO+i)));var a=t*Math.sin(i);return Math.log(Math.tan(.5*(_.CesiumMath.PI_OVER_TWO+i)))-t/2*Math.log((1+a)/(1-a))}var f=new g.Cartesian3,P=new g.Cartesian3;function n(t,i,a,e){g.Cartesian3.normalize(e.cartographicToCartesian(i,P),f),g.Cartesian3.normalize(e.cartographicToCartesian(a,P),P);var n,s,h,u,r,o,l,d=e.maximumRadius,M=e.minimumRadius,c=d*d,m=M*M;t._ellipticitySquared=(c-m)/c,t._ellipticity=Math.sqrt(t._ellipticitySquared),t._start=g.Cartographic.clone(i,t._start),t._start.height=0,t._end=g.Cartographic.clone(a,t._end),t._end.height=0,t._heading=(n=t,s=i.longitude,h=i.latitude,u=a.longitude,r=a.latitude,o=C(n._ellipticity,h),l=C(n._ellipticity,r),Math.atan2(_.CesiumMath.negativePiToPi(u-s),l-o)),t._distance=function(t,i,a,e,n,s,h){var u=t._heading,r=s-e,o=0;if(_.CesiumMath.equalsEpsilon(Math.abs(u),_.CesiumMath.PI_OVER_TWO,_.CesiumMath.EPSILON8))if(i===a)o=i*Math.cos(n)*_.CesiumMath.negativePiToPi(r);else{var l=Math.sin(n);o=i*Math.cos(n)*_.CesiumMath.negativePiToPi(r)/Math.sqrt(1-t._ellipticitySquared*l*l)}else{var d=p(t._ellipticity,i,n);o=(p(t._ellipticity,i,h)-d)/Math.cos(u)}return Math.abs(o)}(t,e.maximumRadius,e.minimumRadius,i.longitude,i.latitude,a.longitude,a.latitude)}function M(t,i,a,e,n,s){var h,u,r,o=n*n;if(Math.abs(_.CesiumMath.PI_OVER_TWO-Math.abs(i))>_.CesiumMath.EPSILON8){u=function(t,i,a){var e=t/a;if(0===i)return e;var n=e*e,s=n*e,h=s*e,u=i*i,r=u*u,o=r*u,l=o*u,d=l*u,M=d*u,c=Math.sin(2*e),m=Math.cos(2*e),_=Math.sin(4*e),g=Math.cos(4*e),p=Math.sin(6*e),C=Math.cos(6*e),f=Math.sin(8*e),P=Math.cos(8*e),v=Math.sin(10*e);return e+e*u/4+7*e*r/64+15*e*o/256+579*e*l/16384+1515*e*d/65536+16837*e*M/1048576+(3*e*r/16+45*e*o/256-e*(32*n-561)*l/4096-e*(232*n-1677)*d/16384+e*(399985-90560*n+512*h)*M/5242880)*m+(21*e*o/256+483*e*l/4096-e*(224*n-1969)*d/16384-e*(33152*n-112599)*M/1048576)*g+(151*e*l/4096+4681*e*d/65536+1479*e*M/16384-453*s*M/32768)*C+(1097*e*d/65536+42783*e*M/1048576)*P+8011*e*M/1048576*Math.cos(10*e)+(3*u/8+3*r/16+213*o/2048-3*n*o/64+255*l/4096-33*n*l/512+20861*d/524288-33*n*d/512+h*d/1024+28273*M/1048576-471*n*M/8192+9*h*M/4096)*c+(21*r/256+21*o/256+533*l/8192-21*n*l/512+197*d/4096-315*n*d/4096+584039*M/16777216-12517*n*M/131072+7*h*M/2048)*_+(151*o/6144+151*l/4096+5019*d/131072-453*n*d/16384+26965*M/786432-8607*n*M/131072)*p+(1097*l/131072+1097*d/65536+225797*M/10485760-1097*n*M/65536)*f+(8011*d/2621440+8011*M/1048576)*v+293393*M/251658240*Math.sin(12*e)}(p(n,e,t.latitude)+a*Math.cos(i),n,e);var l=C(n,t.latitude),d=C(n,u);r=Math.tan(i)*(d-l),h=_.CesiumMath.negativePiToPi(t.longitude+r)}else{var M;if(u=t.latitude,0===n)M=e*Math.cos(t.latitude);else{var c=Math.sin(t.latitude);M=e*Math.cos(t.latitude)/Math.sqrt(1-o*c*c)}r=a/M,h=0<i?_.CesiumMath.negativePiToPi(t.longitude+r):_.CesiumMath.negativePiToPi(t.longitude-r)}return m.defined(s)?(s.longitude=h,s.latitude=u,s.height=0,s):new g.Cartographic(h,u,0)}function c(t,i,a){var e=m.defaultValue(a,g.Ellipsoid.WGS84);this._ellipsoid=e,this._start=new g.Cartographic,this._end=new g.Cartographic,this._heading=void 0,this._distance=void 0,this._ellipticity=void 0,this._ellipticitySquared=void 0,m.defined(t)&&m.defined(i)&&n(this,t,i,e)}Object.defineProperties(c.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}}}),c.fromStartHeadingDistance=function(t,i,a,e,n){var s=m.defaultValue(e,g.Ellipsoid.WGS84),h=s.maximumRadius,u=s.minimumRadius,r=h*h,o=u*u,l=Math.sqrt((r-o)/r),d=M(t,i=_.CesiumMath.negativePiToPi(i),a,s.maximumRadius,l);return!m.defined(n)||m.defined(e)&&!e.equals(n.ellipsoid)?new c(t,d,s):(n.setEndPoints(t,d),n)},c.prototype.setEndPoints=function(t,i){n(this,t,i,this._ellipsoid)},c.prototype.interpolateUsingFraction=function(t,i){return this.interpolateUsingSurfaceDistance(t*this._distance,i)},c.prototype.interpolateUsingSurfaceDistance=function(t,i){return M(this._start,this._heading,t,this._ellipsoid.maximumRadius,this._ellipticity,i)},c.prototype.findIntersectionWithLongitude=function(t,i){var a=this._ellipticity,e=this._heading,n=Math.abs(e),s=this._start;if(t=_.CesiumMath.negativePiToPi(t),_.CesiumMath.equalsEpsilon(Math.abs(t),Math.PI,_.CesiumMath.EPSILON14)&&(t=_.CesiumMath.sign(s.longitude)*Math.PI),m.defined(i)||(i=new g.Cartographic),Math.abs(_.CesiumMath.PI_OVER_TWO-n)<=_.CesiumMath.EPSILON8)return i.longitude=t,i.latitude=s.latitude,i.height=0,i;if(_.CesiumMath.equalsEpsilon(Math.abs(_.CesiumMath.PI_OVER_TWO-n),_.CesiumMath.PI_OVER_TWO,_.CesiumMath.EPSILON8)){if(_.CesiumMath.equalsEpsilon(t,s.longitude,_.CesiumMath.EPSILON12))return;return i.longitude=t,i.latitude=_.CesiumMath.PI_OVER_TWO*_.CesiumMath.sign(_.CesiumMath.PI_OVER_TWO-e),i.height=0,i}var h,u=s.latitude,r=a*Math.sin(u),o=Math.tan(.5*(_.CesiumMath.PI_OVER_TWO+u))*Math.exp((t-s.longitude)/Math.tan(e)),l=(1+r)/(1-r),d=s.latitude;do{h=d;var M=a*Math.sin(h),c=(1+M)/(1-M);d=2*Math.atan(o*Math.pow(c/l,a/2))-_.CesiumMath.PI_OVER_TWO}while(!_.CesiumMath.equalsEpsilon(d,h,_.CesiumMath.EPSILON12));return i.longitude=t,i.latitude=d,i.height=0,i},c.prototype.findIntersectionWithLatitude=function(t,i){var a=this._ellipticity,e=this._heading,n=this._start;if(!_.CesiumMath.equalsEpsilon(Math.abs(e),_.CesiumMath.PI_OVER_TWO,_.CesiumMath.EPSILON8)){var s=C(a,n.latitude),h=C(a,t),u=Math.tan(e)*(h-s),r=_.CesiumMath.negativePiToPi(n.longitude+u);return m.defined(i)?(i.longitude=r,i.latitude=t,i.height=0,i):new g.Cartographic(r,t,0)}},t.EllipsoidRhumbLine=c});