@sauskylark/potree/libs/Cesium/Workers/createSphereGeometry.js

WebGL point cloud viewer

/**
 * Cesium - https://github.com/AnalyticalGraphicsInc/cesium
 *
 * Copyright 2011-2017 Cesium Contributors
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *
 * Columbus View (Pat. Pend.)
 *
 * Portions licensed separately.
 * See https://github.com/AnalyticalGraphicsInc/cesium/blob/master/LICENSE.md for full licensing details.
 */
/**
@license
mersenne-twister.js - https://gist.github.com/banksean/300494

   Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
   All rights reserved.

   Redistribution and use in source and binary forms, with or without
   modification, are permitted provided that the following conditions
   are met:

     1. Redistributions of source code must retain the above copyright
        notice, this list of conditions and the following disclaimer.

     2. Redistributions in binary form must reproduce the above copyright
        notice, this list of conditions and the following disclaimer in the
        documentation and/or other materials provided with the distribution.

     3. The names of its contributors may not be used to endorse or promote
        products derived from this software without specific prior written
        permission.

   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
   A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR
   CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

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t.divideByScalar(i,o,i),t.multiplyByScalar(r,e.height,r),a(n)||(n=new t),t.add(i,r,n)},_.prototype.cartographicArrayToCartesianArray=function(t,e){var n=t.length;a(e)?e.length=n:e=new Array(n);for(var r=0;r<n;r++)e[r]=this.cartographicToCartesian(t[r],e[r]);return e};var R=new t,f=new t,A=new t;return _.prototype.cartesianToCartographic=function(n,r){var i=this.scaleToGeodeticSurface(n,f);if(a(i)){var o=this.geodeticSurfaceNormal(i,R),u=t.subtract(n,i,A),s=Math.atan2(o.y,o.x),c=Math.asin(o.z),_=E.sign(t.dot(u,n))*t.magnitude(u);return a(r)?(r.longitude=s,r.latitude=c,r.height=_,r):new e(s,c,_)}},_.prototype.cartesianArrayToCartographicArray=function(t,e){var n=t.length;a(e)?e.length=n:e=new Array(n);for(var r=0;r<n;++r)e[r]=this.cartesianToCartographic(t[r],e[r]);return e},_.prototype.scaleToGeodeticSurface=function(t,e){return s(t,this._oneOverRadii,this._oneOverRadiiSquared,this._centerToleranceSquared,e)},_.prototype.scaleToGeocentricSurface=function(e,n){a(n)||(n=new t);var 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i=r(t.x,0),o=r(t.y,0),u=r(t.width,0),E=r(t.height,0);e=r(e,0),n=r(n,1);var s=.5*u,c=.5*E,_=.5*(n-e),T=s,l=c,R=_,f=i+s,A=o+c,h=e+_;return a[0]=T,a[1]=0,a[2]=0,a[3]=0,a[4]=0,a[5]=l,a[6]=0,a[7]=0,a[8]=0,a[9]=0,a[10]=R,a[11]=0,a[12]=f,a[13]=A,a[14]=h,a[15]=1,a},c.computeView=function(e,n,r,a,i){return i[0]=a.x,i[1]=r.x,i[2]=-n.x,i[3]=0,i[4]=a.y,i[5]=r.y,i[6]=-n.y,i[7]=0,i[8]=a.z,i[9]=r.z,i[10]=-n.z,i[11]=0,i[12]=-t.dot(a,e),i[13]=-t.dot(r,e),i[14]=t.dot(n,e),i[15]=1,i},c.toArray=function(t,e){return a(e)?(e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=t[7],e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=t[11],e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15],e):[t[0],t[1],t[2],t[3],t[4],t[5],t[6],t[7],t[8],t[9],t[10],t[11],t[12],t[13],t[14],t[15]]},c.getElementIndex=function(t,e){return 4*t+e},c.getColumn=function(t,e,n){var r=4*e,a=t[r],i=t[r+1],o=t[r+2],u=t[r+3];return n.x=a,n.y=i,n.z=o,n.w=u,n},c.setColumn=function(t,e,n,r){r=c.clone(t,r);var a=4*e;return r[a]=n.x,r[a+1]=n.y,r[a+2]=n.z,r[a+3]=n.w,r},c.setTranslation=function(t,e,n){return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n[4]=t[4],n[5]=t[5],n[6]=t[6],n[7]=t[7],n[8]=t[8],n[9]=t[9],n[10]=t[10],n[11]=t[11],n[12]=e.x,n[13]=e.y,n[14]=e.z,n[15]=t[15],n},c.getRow=function(t,e,n){var r=t[e],a=t[e+4],i=t[e+8],o=t[e+12];return n.x=r,n.y=a,n.z=i,n.w=o,n},c.setRow=function(t,e,n,r){return r=c.clone(t,r),r[e]=n.x,r[e+4]=n.y,r[e+8]=n.z,r[e+12]=n.w,r};var R=new t;c.getScale=function(e,n){return n.x=t.magnitude(t.fromElements(e[0],e[1],e[2],R)),n.y=t.magnitude(t.fromElements(e[4],e[5],e[6],R)),n.z=t.magnitude(t.fromElements(e[8],e[9],e[10],R)),n};var f=new t;c.getMaximumScale=function(e){return c.getScale(e,f),t.maximumComponent(f)},c.multiply=function(t,e,n){var r=t[0],a=t[1],i=t[2],o=t[3],u=t[4],E=t[5],s=t[6],c=t[7],_=t[8],T=t[9],l=t[10],R=t[11],f=t[12],A=t[13],h=t[14],N=t[15],d=e[0],I=e[1],S=e[2],m=e[3],M=e[4],O=e[5],y=e[6],p=e[7],C=e[8],U=e[9],P=e[10],L=e[11],F=e[12],w=e[13],g=e[14],v=e[15],x=r*d+u*I+_*S+f*m,D=a*d+E*I+T*S+A*m,B=i*d+s*I+l*S+h*m,z=o*d+c*I+R*S+N*m,G=r*M+u*O+_*y+f*p,b=a*M+E*O+T*y+A*p,X=i*M+s*O+l*y+h*p,V=o*M+c*O+R*y+N*p,q=r*C+u*U+_*P+f*L,H=a*C+E*U+T*P+A*L,W=i*C+s*U+l*P+h*L,Y=o*C+c*U+R*P+N*L,k=r*F+u*w+_*g+f*v,K=a*F+E*w+T*g+A*v,Z=i*F+s*w+l*g+h*v,j=o*F+c*w+R*g+N*v;return n[0]=x,n[1]=D,n[2]=B,n[3]=z,n[4]=G,n[5]=b,n[6]=X,n[7]=V,n[8]=q,n[9]=H,n[10]=W,n[11]=Y,n[12]=k,n[13]=K,n[14]=Z,n[15]=j,n},c.add=function(t,e,n){return n[0]=t[0]+e[0],n[1]=t[1]+e[1],n[2]=t[2]+e[2],n[3]=t[3]+e[3],n[4]=t[4]+e[4],n[5]=t[5]+e[5],n[6]=t[6]+e[6],n[7]=t[7]+e[7],n[8]=t[8]+e[8],n[9]=t[9]+e[9],n[10]=t[10]+e[10],n[11]=t[11]+e[11],n[12]=t[12]+e[12],n[13]=t[13]+e[13],n[14]=t[14]+e[14],n[15]=t[15]+e[15],n},c.subtract=function(t,e,n){return n[0]=t[0]-e[0],n[1]=t[1]-e[1],n[2]=t[2]-e[2],n[3]=t[3]-e[3],n[4]=t[4]-e[4],n[5]=t[5]-e[5],n[6]=t[6]-e[6],n[7]=t[7]-e[7],n[8]=t[8]-e[8],n[9]=t[9]-e[9],n[10]=t[10]-e[10],n[11]=t[11]-e[11],n[12]=t[12]-e[12],n[13]=t[13]-e[13],n[14]=t[14]-e[14],n[15]=t[15]-e[15],n},c.multiplyTransformation=function(t,e,n){var r=t[0],a=t[1],i=t[2],o=t[4],u=t[5],E=t[6],s=t[8],c=t[9],_=t[10],T=t[12],l=t[13],R=t[14],f=e[0],A=e[1],h=e[2],N=e[4],d=e[5],I=e[6],S=e[8],m=e[9],M=e[10],O=e[12],y=e[13],p=e[14],C=r*f+o*A+s*h,U=a*f+u*A+c*h,P=i*f+E*A+_*h,L=r*N+o*d+s*I,F=a*N+u*d+c*I,w=i*N+E*d+_*I,g=r*S+o*m+s*M,v=a*S+u*m+c*M,x=i*S+E*m+_*M,D=r*O+o*y+s*p+T,B=a*O+u*y+c*p+l,z=i*O+E*y+_*p+R;return n[0]=C,n[1]=U,n[2]=P,n[3]=0,n[4]=L,n[5]=F,n[6]=w,n[7]=0,n[8]=g,n[9]=v,n[10]=x,n[11]=0,n[12]=D,n[13]=B,n[14]=z,n[15]=1,n},c.multiplyByMatrix3=function(t,e,n){var r=t[0],a=t[1],i=t[2],o=t[4],u=t[5],E=t[6],s=t[8],c=t[9],_=t[10],T=e[0],l=e[1],R=e[2],f=e[3],A=e[4],h=e[5],N=e[6],d=e[7],I=e[8],S=r*T+o*l+s*R,m=a*T+u*l+c*R,M=i*T+E*l+_*R,O=r*f+o*A+s*h,y=a*f+u*A+c*h,p=i*f+E*A+_*h,C=r*N+o*d+s*I,U=a*N+u*d+c*I,P=i*N+E*d+_*I;return n[0]=S,n[1]=m,n[2]=M,n[3]=0,n[4]=O,n[5]=y,n[6]=p,n[7]=0,n[8]=C,n[9]=U,n[10]=P,n[11]=0,n[12]=t[12],n[13]=t[13],n[14]=t[14],n[15]=t[15],n},c.multiplyByTranslation=function(t,e,n){var r=e.x,a=e.y,i=e.z,o=r*t[0]+a*t[4]+i*t[8]+t[12],u=r*t[1]+a*t[5]+i*t[9]+t[13],E=r*t[2]+a*t[6]+i*t[10]+t[14];return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n[4]=t[4],n[5]=t[5],n[6]=t[6],n[7]=t[7],n[8]=t[8],n[9]=t[9],n[10]=t[10],n[11]=t[11],n[12]=o,n[13]=u,n[14]=E,n[15]=t[15],n};var A=new t;c.multiplyByUniformScale=function(t,e,n){return A.x=e,A.y=e,A.z=e,c.multiplyByScale(t,A,n)},c.multiplyByScale=function(t,e,n){var r=e.x,a=e.y,i=e.z;return 1===r&&1===a&&1===i?c.clone(t,n):(n[0]=r*t[0],n[1]=r*t[1],n[2]=r*t[2],n[3]=0,n[4]=a*t[4],n[5]=a*t[5],n[6]=a*t[6],n[7]=0,n[8]=i*t[8],n[9]=i*t[9],n[10]=i*t[10],n[11]=0,n[12]=t[12],n[13]=t[13],n[14]=t[14],n[15]=1,n)},c.multiplyByVector=function(t,e,n){var r=e.x,a=e.y,i=e.z,o=e.w,u=t[0]*r+t[4]*a+t[8]*i+t[12]*o,E=t[1]*r+t[5]*a+t[9]*i+t[13]*o,s=t[2]*r+t[6]*a+t[10]*i+t[14]*o,c=t[3]*r+t[7]*a+t[11]*i+t[15]*o;return n.x=u,n.y=E,n.z=s,n.w=c,n},c.multiplyByPointAsVector=function(t,e,n){var r=e.x,a=e.y,i=e.z,o=t[0]*r+t[4]*a+t[8]*i,u=t[1]*r+t[5]*a+t[9]*i,E=t[2]*r+t[6]*a+t[10]*i;return n.x=o,n.y=u,n.z=E,n},c.multiplyByPoint=function(t,e,n){var r=e.x,a=e.y,i=e.z,o=t[0]*r+t[4]*a+t[8]*i+t[12],u=t[1]*r+t[5]*a+t[9]*i+t[13],E=t[2]*r+t[6]*a+t[10]*i+t[14];return n.x=o,n.y=u,n.z=E,n},c.multiplyByScalar=function(t,e,n){return n[0]=t[0]*e,n[1]=t[1]*e,n[2]=t[2]*e,n[3]=t[3]*e,n[4]=t[4]*e,n[5]=t[5]*e,n[6]=t[6]*e,n[7]=t[7]*e,n[8]=t[8]*e,n[9]=t[9]*e,n[10]=t[10]*e,n[11]=t[11]*e,n[12]=t[12]*e,n[13]=t[13]*e,n[14]=t[14]*e,n[15]=t[15]*e,n},c.negate=function(t,e){return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[3]=-t[3],e[4]=-t[4],e[5]=-t[5],e[6]=-t[6],e[7]=-t[7],e[8]=-t[8],e[9]=-t[9],e[10]=-t[10],e[11]=-t[11],e[12]=-t[12],e[13]=-t[13],e[14]=-t[14],e[15]=-t[15],e},c.transpose=function(t,e){var n=t[1],r=t[2],a=t[3],i=t[6],o=t[7],u=t[11];return e[0]=t[0],e[1]=t[4],e[2]=t[8],e[3]=t[12],e[4]=n,e[5]=t[5],e[6]=t[9],e[7]=t[13],e[8]=r,e[9]=i,e[10]=t[10],e[11]=t[14],e[12]=a,e[13]=o,e[14]=u,e[15]=t[15],e},c.abs=function(t,e){return e[0]=Math.abs(t[0]),e[1]=Math.abs(t[1]),e[2]=Math.abs(t[2]),e[3]=Math.abs(t[3]),e[4]=Math.abs(t[4]),e[5]=Math.abs(t[5]),e[6]=Math.abs(t[6]),e[7]=Math.abs(t[7]),e[8]=Math.abs(t[8]),e[9]=Math.abs(t[9]),e[10]=Math.abs(t[10]),e[11]=Math.abs(t[11]),e[12]=Math.abs(t[12]),e[13]=Math.abs(t[13]),e[14]=Math.abs(t[14]),e[15]=Math.abs(t[15]),e},c.equals=function(t,e){return t===e||a(t)&&a(e)&&t[12]===e[12]&&t[13]===e[13]&&t[14]===e[14]&&t[0]===e[0]&&t[1]===e[1]&&t[2]===e[2]&&t[4]===e[4]&&t[5]===e[5]&&t[6]===e[6]&&t[8]===e[8]&&t[9]===e[9]&&t[10]===e[10]&&t[3]===e[3]&&t[7]===e[7]&&t[11]===e[11]&&t[15]===e[15]},c.equalsEpsilon=function(t,e,n){return t===e||a(t)&&a(e)&&Math.abs(t[0]-e[0])<=n&&Math.abs(t[1]-e[1])<=n&&Math.abs(t[2]-e[2])<=n&&Math.abs(t[3]-e[3])<=n&&Math.abs(t[4]-e[4])<=n&&Math.abs(t[5]-e[5])<=n&&Math.abs(t[6]-e[6])<=n&&Math.abs(t[7]-e[7])<=n&&Math.abs(t[8]-e[8])<=n&&Math.abs(t[9]-e[9])<=n&&Math.abs(t[10]-e[10])<=n&&Math.abs(t[11]-e[11])<=n&&Math.abs(t[12]-e[12])<=n&&Math.abs(t[13]-e[13])<=n&&Math.abs(t[14]-e[14])<=n&&Math.abs(t[15]-e[15])<=n},c.getTranslation=function(t,e){return e.x=t[12],e.y=t[13],e.z=t[14],e},c.getRotation=function(t,e){return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[4],e[4]=t[5],e[5]=t[6],e[6]=t[8],e[7]=t[9],e[8]=t[10],e};var h=new E,N=new E,d=new e,I=new e(0,0,0,1);return c.inverse=function(t,n){if(E.equalsEpsilon(c.getRotation(t,h),N,u.EPSILON7)&&e.equals(c.getRow(t,3,d),I))return n[0]=0,n[1]=0,n[2]=0,n[3]=0,n[4]=0,n[5]=0,n[6]=0,n[7]=0,n[8]=0,n[9]=0,n[10]=0,n[11]=0,n[12]=-t[12],n[13]=-t[13],n[14]=-t[14],n[15]=1,n;var r=t[0],a=t[4],i=t[8],o=t[12],_=t[1],T=t[5],l=t[9],R=t[13],f=t[2],A=t[6],S=t[10],m=t[14],M=t[3],O=t[7],y=t[11],p=t[15],C=S*p,U=m*y,P=A*p,L=m*O,F=A*y,w=S*O,g=f*p,v=m*M,x=f*y,D=S*M,B=f*O,z=A*M,G=C*T+L*l+F*R-(U*T+P*l+w*R),b=U*_+g*l+D*R-(C*_+v*l+x*R),X=P*_+v*T+B*R-(L*_+g*T+z*R),V=w*_+x*T+z*l-(F*_+D*T+B*l),q=U*a+P*i+w*o-(C*a+L*i+F*o),H=C*r+v*i+x*o-(U*r+g*i+D*o),W=L*r+g*a+z*o-(P*r+v*a+B*o),Y=F*r+D*a+B*i-(w*r+x*a+z*i);C=i*R,U=o*l,P=a*R,L=o*T,F=a*l,w=i*T,g=r*R,v=o*_,x=r*l,D=i*_,B=r*T,z=a*_;var k=C*O+L*y+F*p-(U*O+P*y+w*p),K=U*M+g*y+D*p-(C*M+v*y+x*p),Z=P*M+v*O+B*p-(L*M+g*O+z*p),j=w*M+x*O+z*y-(F*M+D*O+B*y),Q=P*S+w*m+U*A-(F*m+C*A+L*S),J=x*m+C*f+v*S-(g*S+D*m+U*f),$=g*A+z*m+L*f-(B*m+P*f+v*A),tt=B*S+F*f+D*A-(x*A+z*S+w*f),et=r*G+a*b+i*X+o*V;if(Math.abs(et)<u.EPSILON20)throw new s("matrix is not invertible because its determinate is zero.");return et=1/et,n[0]=G*et,n[1]=b*et,n[2]=X*et,n[3]=V*et,n[4]=q*et,n[5]=H*et,n[6]=W*et,n[7]=Y*et,n[8]=k*et,n[9]=K*et,n[10]=Z*et,n[11]=j*et,n[12]=Q*et,n[13]=J*et,n[14]=$*et,n[15]=tt*et,n},c.inverseTransformation=function(t,e){var n=t[0],r=t[1],a=t[2],i=t[4],o=t[5],u=t[6],E=t[8],s=t[9],c=t[10],_=t[12],T=t[13],l=t[14],R=-n*_-r*T-a*l,f=-i*_-o*T-u*l,A=-E*_-s*T-c*l;return e[0]=n,e[1]=i,e[2]=E,e[3]=0,e[4]=r,e[5]=o,e[6]=s,e[7]=0,e[8]=a,e[9]=u,e[10]=c,e[11]=0,e[12]=R,e[13]=f,e[14]=A,e[15]=1,e},c.IDENTITY=o(new c(1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1)),c.ZERO=o(new c(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)),c.COLUMN0ROW0=0,c.COLUMN0ROW1=1,c.COLUMN0ROW2=2,c.COLUMN0ROW3=3,c.COLUMN1ROW0=4,c.COLUMN1ROW1=5,c.COLUMN1ROW2=6,c.COLUMN1ROW3=7,c.COLUMN2ROW0=8,c.COLUMN2ROW1=9,c.COLUMN2ROW2=10,c.COLUMN2ROW3=11,c.COLUMN3ROW0=12,c.COLUMN3ROW1=13,c.COLUMN3ROW2=14,c.COLUMN3ROW3=15,i(c.prototype,{length:{get:function(){return c.packedLength}}}),c.prototype.clone=function(t){return c.clone(this,t)},c.prototype.equals=function(t){return c.equals(this,t)},c.equalsArray=function(t,e,n){return t[0]===e[n]&&t[1]===e[n+1]&&t[2]===e[n+2]&&t[3]===e[n+3]&&t[4]===e[n+4]&&t[5]===e[n+5]&&t[6]===e[n+6]&&t[7]===e[n+7]&&t[8]===e[n+8]&&t[9]===e[n+9]&&t[10]===e[n+10]&&t[11]===e[n+11]&&t[12]===e[n+12]&&t[13]===e[n+13]&&t[14]===e[n+14]&&t[15]===e[n+15]},c.prototype.equalsEpsilon=function(t,e){return c.equalsEpsilon(this,t,e)},c.prototype.toString=function(){return"("+this[0]+", "+this[4]+", "+this[8]+", "+this[12]+")\n("+this[1]+", "+this[5]+", "+this[9]+", "+this[13]+")\n("+this[2]+", "+this[6]+", "+this[10]+", "+this[14]+")\n("+this[3]+", "+this[7]+", "+this[11]+", "+this[15]+")"},c}),define("Core/Rectangle",["./Cartographic","./Check","./defaultValue","./defined","./defineProperties","./Ellipsoid","./freezeObject","./Math"],function(t,e,n,r,a,i,o,u){"use strict";function E(t,e,r,a){this.west=n(t,0),this.south=n(e,0),this.east=n(r,0),this.north=n(a,0)}a(E.prototype,{width:{get:function(){return E.computeWidth(this)}},height:{get:function(){return E.computeHeight(this)}}}),E.packedLength=4,E.pack=function(t,e,r){return r=n(r,0),e[r++]=t.west,e[r++]=t.south,e[r++]=t.east,e[r]=t.north,e},E.unpack=function(t,e,a){return e=n(e,0),r(a)||(a=new E),a.west=t[e++],a.south=t[e++],a.east=t[e++],a.north=t[e],a},E.computeWidth=function(t){var e=t.east,n=t.west;return e<n&&(e+=u.TWO_PI),e-n},E.computeHeight=function(t){return t.north-t.south},E.fromDegrees