3 lines
59 KiB
JavaScript
3 lines
59 KiB
JavaScript
// https://d3js.org/d3-geo-projection/ v2.7.0 Copyright 2019 Mike Bostock
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!function(n,r){"object"==typeof exports&&"undefined"!=typeof module?r(exports,require("d3-geo"),require("d3-array")):"function"==typeof define&&define.amd?define(["exports","d3-geo","d3-array"],r):r(n.d3=n.d3||{},n.d3,n.d3)}(this,function(n,r,e){"use strict";var t=Math.abs,o=Math.atan,i=Math.atan2,u=Math.cos,a=Math.exp,c=Math.floor,f=Math.log,l=Math.max,g=Math.min,v=Math.pow,s=Math.round,p=Math.sign||function(n){return n>0?1:n<0?-1:0},h=Math.sin,d=Math.tan,w=1e-6,y=1e-12,m=Math.PI,P=m/2,R=m/4,b=Math.SQRT1_2,j=G(2),M=G(m),E=2*m,S=180/m,A=m/180;function k(n){return n>1?P:n<-1?-P:Math.asin(n)}function x(n){return n>1?0:n<-1?m:Math.acos(n)}function G(n){return n>0?Math.sqrt(n):0}function C(n){return(a(n)-a(-n))/2}function N(n){return(a(n)+a(-n))/2}function F(n){var r=d(n/2),e=2*f(u(n/2))/(r*r);function o(n,r){var t=u(n),o=u(r),i=h(r),a=o*t,c=-((1-a?f((1+a)/2)/(1-a):-.5)+e/(1+a));return[c*o*h(n),c*i]}return o.invert=function(r,o){var a,c=G(r*r+o*o),l=-n/2,g=50;if(!c)return[0,0];do{var v=l/2,s=u(v),p=h(v),y=d(v),m=f(1/s);l-=a=(2/y*m-e*y-c)/(-m/(p*p)+1-e/(2*s*s))}while(t(a)>w&&--g>0);var P=h(l);return[i(r*P,c*u(l)),k(o*P/c)]},o}function z(n,r){var e=u(r),t=function(n){return n?n/Math.sin(n):1}(x(e*u(n/=2)));return[2*e*h(n)*t,h(r)*t]}function L(n){var r=h(n),e=u(n),o=n>=0?1:-1,a=d(o*n),c=(1+r-e)/2;function f(n,t){var f=u(t),l=u(n/=2);return[(1+f)*h(n),(o*t>-i(l,a)-.001?0:10*-o)+c+h(t)*e-(1+f)*r*l]}return f.invert=function(n,f){var l=0,g=0,v=50;do{var s=u(l),p=h(l),d=u(g),y=h(g),m=1+d,P=m*p-n,R=c+y*e-m*r*s-f,b=m*s/2,j=-p*y,M=r*m*p/2,E=e*d+r*s*y,S=j*M-E*b,A=(R*j-P*E)/S/2,k=(P*M-R*b)/S;l-=A,g-=k}while((t(A)>w||t(k)>w)&&--v>0);return o*g>-i(u(l),a)-.001?[2*l,g]:null},f}function H(n,r){var e=d(r/2),t=G(1-e*e),o=1+t*u(n/=2),i=h(n)*t/o,a=e/o,c=i*i,f=a*a;return[4/3*i*(3+c-3*f),4/3*a*(3+3*c-f)]}z.invert=function(n,r){if(!(n*n+4*r*r>m*m+w)){var e=n,o=r,i=25;do{var a,c=h(e),f=h(e/2),l=u(e/2),g=h(o),v=u(o),s=h(2*o),p=g*g,d=v*v,y=f*f,P=1-d*l*l,R=P?x(v*l)*G(a=1/P):a=0,b=2*R*v*f-n,j=R*g-r,M=a*(d*y+R*v*l*p),E=a*(.5*c*s-2*R*g*f),S=.25*a*(s*f-R*g*d*c),A=a*(p*l+R*y*v),k=E*S-A*M;if(!k)break;var C=(j*E-b*A)/k,N=(b*S-j*M)/k;e-=C,o-=N}while((t(C)>w||t(N)>w)&&--i>0);return[e,o]}},H.invert=function(n,r){if(r*=3/8,!(n*=3/8)&&t(r)>1)return null;var e=1+n*n+r*r,o=G((e-G(e*e-4*r*r))/2),a=k(o)/3,c=o?function(n){return f(n+G(n*n-1))}(t(r/o))/3:function(n){return f(n+G(n*n+1))}(t(n))/3,l=u(a),g=N(c),v=g*g-l*l;return[2*p(n)*i(C(c)*l,.25-v),2*p(r)*i(g*h(a),.25+v)]};var q=G(8),B=f(1+j);function W(n,r){var e=t(r);return e<R?[n,f(d(R+r/2))]:[n*u(e)*(2*j-1/h(e)),p(r)*(2*j*(e-R)-f(d(e/2)))]}function I(n){var e=2*m/n;function a(n,o){var a=r.geoAzimuthalEquidistantRaw(n,o);if(t(n)>P){var c=i(a[1],a[0]),f=G(a[0]*a[0]+a[1]*a[1]),l=e*s((c-P)/e)+P,g=i(h(c-=l),2-u(c));c=l+k(m/f*h(g))-g,a[0]=f*u(c),a[1]=f*h(c)}return a}return a.invert=function(n,t){var a=G(n*n+t*t);if(a>P){var c=i(t,n),f=e*s((c-P)/e)+P,l=c>f?-1:1,g=a*u(f-c),v=1/d(l*x((g-m)/G(m*(m-2*g)+a*a)));c=f+2*o((v+l*G(v*v-3))/3),n=a*u(c),t=a*h(c)}return r.geoAzimuthalEquidistantRaw.invert(n,t)},a}function D(n,e){if(arguments.length<2&&(e=n),1===e)return r.geoAzimuthalEqualAreaRaw;if(e===1/0)return Q;function t(t,o){var i=r.geoAzimuthalEqualAreaRaw(t/e,o);return i[0]*=n,i}return t.invert=function(t,o){var i=r.geoAzimuthalEqualAreaRaw.invert(t/n,o);return i[0]*=e,i},t}function Q(n,r){return[n*u(r)/u(r/=2),2*h(r)]}function T(){var n=D(1.68,2);return function(r,e){if(r+e<-1.4){var t=(r-e+1.6)*(r+e+1.4)/8;r+=t,e-=.8*t*h(e+m/2)}var o=n(r,e),i=(1-u(r*e))/12;return o[1]<0&&(o[0]*=1+i),o[1]>0&&(o[1]*=1+i/1.5*o[0]*o[0]),o}}function V(n,r){var e,o=n*h(r),i=30;do{r-=e=(r+h(r)-o)/(1+u(r))}while(t(e)>w&&--i>0);return r/2}function _(n,r,e){function t(t,o){return[n*t*u(o=V(e,o)),r*h(o)]}return t.invert=function(t,o){return o=k(o/r),[t/(n*u(o)),k((2*o+h(2*o))/e)]},t}W.invert=function(n,r){if((i=t(r))<B)return[n,2*o(a(r))-P];var e,i,c=R,l=25;do{var g=u(c/2),v=d(c/2);c-=e=(q*(c-R)-f(v)-i)/(q-g*g/(2*v))}while(t(e)>y&&--l>0);return[n/(u(c)*(q-1/h(c))),p(r)*c]},Q.invert=function(n,r){var e=2*k(r/2);return[n*u(e/2)/u(e),e]};var K=_(j/P,j,m);var O=2.00276,U=1.11072;function J(n,r){var e=V(m,r);return[O*n/(1/u(r)+U/u(e)),(r+j*h(e))/O]}function X(n){var e=0,t=r.geoProjectionMutator(n),o=t(e);return o.parallel=function(n){return arguments.length?t(e=n*A):e*S},o}function Y(n,r){return[n*u(r),r]}function Z(n){if(!n)return Y;var r=1/d(n);function e(e,t){var o=r+n-t,i=o?e*u(t)/o:o;return[o*h(i),r-o*u(i)]}return e.invert=function(e,t){var o=G(e*e+(t=r-t)*t),a=r+n-o;return[o/u(a)*i(e,t),a]},e}function $(n){function r(r,e){var t=P-e,o=t?r*n*h(t)/t:t;return[t*h(o)/n,P-t*u(o)]}return r.invert=function(r,e){var t=r*n,o=P-e,u=G(t*t+o*o),a=i(t,o);return[(u?u/h(u):1)*a/n,P-u]},r}J.invert=function(n,r){var e,o,i=O*r,a=r<0?-R:R,c=25;do{o=i-j*h(a),a-=e=(h(2*a)+2*a-m*h(o))/(2*u(2*a)+2+m*u(o)*j*u(a))}while(t(e)>w&&--c>0);return o=i-j*h(a),[n*(1/u(o)+U/u(a))/O,o]},Y.invert=function(n,r){return[n/u(r),r]};var nn=_(1,4/m,m);function rn(n,r,e,o,a,c){var f,l=u(c);if(t(n)>1||t(c)>1)f=x(e*a+r*o*l);else{var g=h(n/2),v=h(c/2);f=2*k(G(g*g+r*o*v*v))}return t(f)>w?[f,i(o*h(c),r*a-e*o*l)]:[0,0]}function en(n,r,e){return x((n*n+r*r-e*e)/(2*n*r))}function tn(n){return n-2*m*c((n+m)/(2*m))}function on(n,r,e){for(var t,o=[[n[0],n[1],h(n[1]),u(n[1])],[r[0],r[1],h(r[1]),u(r[1])],[e[0],e[1],h(e[1]),u(e[1])]],i=o[2],a=0;a<3;++a,i=t)t=o[a],i.v=rn(t[1]-i[1],i[3],i[2],t[3],t[2],t[0]-i[0]),i.point=[0,0];var c=en(o[0].v[0],o[2].v[0],o[1].v[0]),f=en(o[0].v[0],o[1].v[0],o[2].v[0]),l=m-c;o[2].point[1]=0,o[0].point[0]=-(o[1].point[0]=o[0].v[0]/2);var g=[o[2].point[0]=o[0].point[0]+o[2].v[0]*u(c),2*(o[0].point[1]=o[1].point[1]=o[2].v[0]*h(c))];return function(n,r){var e,t=h(r),i=u(r),a=new Array(3);for(e=0;e<3;++e){var c=o[e];if(a[e]=rn(r-c[1],c[3],c[2],i,t,n-c[0]),!a[e][0])return c.point;a[e][1]=tn(a[e][1]-c.v[1])}var v=g.slice();for(e=0;e<3;++e){var s=2==e?0:e+1,p=en(o[e].v[0],a[e][0],a[s][0]);a[e][1]<0&&(p=-p),e?1==e?(p=f-p,v[0]-=a[e][0]*u(p),v[1]-=a[e][0]*h(p)):(p=l-p,v[0]+=a[e][0]*u(p),v[1]+=a[e][0]*h(p)):(v[0]+=a[e][0]*u(p),v[1]-=a[e][0]*h(p))}return v[0]/=3,v[1]/=3,v}}function un(n){return n[0]*=A,n[1]*=A,n}function an(n,e,t){var o=r.geoCentroid({type:"MultiPoint",coordinates:[n,e,t]}),i=[-o[0],-o[1]],u=r.geoRotation(i),a=r.geoProjection(on(un(u(n)),un(u(e)),un(u(t)))).rotate(i),c=a.center;return delete a.rotate,a.center=function(n){return arguments.length?c(u(n)):u.invert(c())},a.clipAngle(90)}function cn(n,r){var e=G(1-h(r));return[2/M*n*e,M*(1-e)]}function fn(n){var r=d(n);function e(n,e){return[n,(n?n/h(n):1)*(h(e)*u(n)-r*u(e))]}return e.invert=r?function(n,e){n&&(e*=h(n)/n);var t=u(n);return[n,2*i(G(t*t+r*r-e*e)-t,r-e)]}:function(n,r){return[n,k(n?r*d(n)/n:r)]},e}cn.invert=function(n,r){var e=(e=r/M-1)*e;return[e>0?n*G(m/e)/2:0,k(1-e)]};var ln=G(3);function gn(n,r){return[ln*n*(2*u(2*r/3)-1)/M,ln*M*h(r/3)]}function vn(n){var r=u(n);function e(n,e){return[n*r,h(e)/r]}return e.invert=function(n,e){return[n/r,k(e*r)]},e}function sn(n){var r=u(n);function e(n,e){return[n*r,(1+r)*d(e/2)]}return e.invert=function(n,e){return[n/r,2*o(e/(1+r))]},e}function pn(n,r){var e=G(8/(3*m));return[e*n*(1-t(r)/m),e*r]}function hn(n,r){var e=G(4-3*h(t(r)));return[2/G(6*m)*n*e,p(r)*G(2*m/3)*(2-e)]}function dn(n,r){var e=G(m*(4+m));return[2/e*n*(1+G(1-4*r*r/(m*m))),4/e*r]}function wn(n,r){var e=(2+P)*h(r);r/=2;for(var o=0,i=1/0;o<10&&t(i)>w;o++){var a=u(r);r-=i=(r+h(r)*(a+2)-e)/(2*a*(1+a))}return[2/G(m*(4+m))*n*(1+u(r)),2*G(m/(4+m))*h(r)]}function yn(n,r){return[n*(1+u(r))/G(2+m),2*r/G(2+m)]}function mn(n,r){for(var e=(1+P)*h(r),o=0,i=1/0;o<10&&t(i)>w;o++)r-=i=(r+h(r)-e)/(1+u(r));return e=G(2+m),[n*(1+u(r))/e,2*r/e]}gn.invert=function(n,r){var e=3*k(r/(ln*M));return[M*n/(ln*(2*u(2*e/3)-1)),e]},pn.invert=function(n,r){var e=G(8/(3*m)),o=r/e;return[n/(e*(1-t(o)/m)),o]},hn.invert=function(n,r){var e=2-t(r)/G(2*m/3);return[n*G(6*m)/(2*e),p(r)*k((4-e*e)/3)]},dn.invert=function(n,r){var e=G(m*(4+m))/2;return[n*e/(1+G(1-r*r*(4+m)/(4*m))),r*e/2]},wn.invert=function(n,r){var e=r*G((4+m)/m)/2,t=k(e),o=u(t);return[n/(2/G(m*(4+m))*(1+o)),k((t+e*(o+2))/(2+P))]},yn.invert=function(n,r){var e=G(2+m),t=r*e/2;return[e*n/(1+u(t)),t]},mn.invert=function(n,r){var e=1+P,t=G(e/2);return[2*n*t/(1+u(r*=t)),k((r+h(r))/e)]};var Pn=3+2*j;function Rn(n,r){var e=h(n/=2),t=u(n),i=G(u(r)),a=u(r/=2),c=h(r)/(a+j*t*i),l=G(2/(1+c*c)),g=G((j*a+(t+e)*i)/(j*a+(t-e)*i));return[Pn*(l*(g-1/g)-2*f(g)),Pn*(l*c*(g+1/g)-2*o(c))]}Rn.invert=function(n,r){if(!(e=H.invert(n/1.2,1.065*r)))return null;var e,i=e[0],a=e[1],c=20;n/=Pn,r/=Pn;do{var v=i/2,s=a/2,p=h(v),d=u(v),y=h(s),m=u(s),R=u(a),M=G(R),E=y/(m+j*d*M),S=E*E,A=G(2/(1+S)),k=(j*m+(d+p)*M)/(j*m+(d-p)*M),x=G(k),C=x-1/x,N=x+1/x,F=A*C-2*f(x)-n,z=A*E*N-2*o(E)-r,L=y&&b*M*p*S/y,q=(j*d*m+M)/(2*(m+j*d*M)*(m+j*d*M)*M),B=-.5*E*A*A*A,W=B*L,I=B*q,D=(D=2*m+j*M*(d-p))*D*x,Q=(j*d*m*M+R)/D,T=-j*p*y/(M*D),V=C*W-2*Q/x+A*(Q+Q/k),_=C*I-2*T/x+A*(T+T/k),K=E*N*W-2*L/(1+S)+A*N*L+A*E*(Q-Q/k),O=E*N*I-2*q/(1+S)+A*N*q+A*E*(T-T/k),U=_*K-O*V;if(!U)break;var J=(z*_-F*O)/U,X=(F*K-z*V)/U;i-=J,a=l(-P,g(P,a-X))}while((t(J)>w||t(X)>w)&&--c>0);return t(t(a)-P)<w?[0,a]:c&&[i,a]};var bn=u(35*A);function jn(n,r){var e=d(r/2);return[n*bn*G(1-e*e),(1+bn)*e]}function Mn(n,r){var e=r/2,t=u(e);return[2*n/M*u(r)*t*t,M*d(e)]}function En(n,r,e){var o,i,u,a=100;e=void 0===e?0:+e,r=+r;do{(i=n(e))===(u=n(e+w))&&(u=i+w),e-=o=-1*w*(i-r)/(i-u)}while(a-- >0&&t(o)>w);return a<0?NaN:e}function Sn(n){var r=1-n,e=o(m,0)[0]-o(-m,0)[0],t=G(2*(o(0,P)[1]-o(0,-P)[1])/e);function o(e,t){var o=u(t),i=h(t);return[o/(r+n*o)*e,r*t+n*i]}function i(n,r){var e=o(n,r);return[e[0]*t,e[1]/t]}function a(n){return i(0,n)[1]}return i.invert=function(e,o){var i=En(a,o);return[e/t*(n+r/u(i)),i]},i}function An(n){return[n[0]/2,k(d(n[1]/2*A))*S]}function kn(n){return[2*n[0],2*o(h(n[1]*A))*S]}function xn(n,e){var o=2*m/e,a=n*n;function c(e,c){var f=r.geoAzimuthalEquidistantRaw(e,c),l=f[0],g=f[1],v=l*l+g*g;if(v>a){var p=G(v),d=i(g,l),y=o*s(d/o),R=d-y,b=n*u(R),j=(n*h(R)-R*h(b))/(P-b),M=Gn(R,j),E=(m-n)/Cn(M,b,m);l=p;var S,A=50;do{l-=S=(n+Cn(M,b,l)*E-p)/(M(l)*E)}while(t(S)>w&&--A>0);g=R*h(l),l<P&&(g-=j*(l-P));var k=h(y),x=u(y);f[0]=l*x-g*k,f[1]=l*k+g*x}return f}return c.invert=function(e,c){var f=e*e+c*c;if(f>a){var l=G(f),g=i(c,e),v=o*s(g/o),p=g-v;e=l*u(p),c=l*h(p);for(var d=e-P,w=h(e),R=c/w,b=e<P?1/0:0,j=10;;){var M=n*h(R),E=n*u(R),S=h(E),A=P-E,k=(M-R*S)/A,x=Gn(R,k);if(t(b)<y||!--j)break;R-=b=(R*w-k*d-c)/(w-2*d*(A*(E+R*M*u(E)-S)-M*(M-R*S))/(A*A))}e=(l=n+Cn(x,E,e)*(m-n)/Cn(x,E,m))*u(g=v+R),c=l*h(g)}return r.geoAzimuthalEquidistantRaw.invert(e,c)},c}function Gn(n,r){return function(e){var t=n*u(e);return e<P&&(t-=r),G(1+t*t)}}function Cn(n,r,e){for(var t=(e-r)/50,o=n(r)+n(e),i=1,u=r;i<50;++i)o+=2*n(u+=t);return.5*o*t}function Nn(n,r,e,o,i,a,c,f){function l(t,l){if(!l)return[n*t/m,0];var g=l*l,v=n+g*(r+g*(e+g*o)),s=l*(i-1+g*(a-f+g*c)),p=(v*v+s*s)/(2*s),d=t*k(v/p)/m;return[p*h(d),l*(1+g*f)+p*(1-u(d))]}return arguments.length<8&&(f=0),l.invert=function(l,g){var v,s,p=m*l/n,d=g,y=50;do{var P=d*d,R=n+P*(r+P*(e+P*o)),b=d*(i-1+P*(a-f+P*c)),j=R*R+b*b,M=2*b,E=j/M,S=E*E,A=k(R/E)/m,x=p*A,C=R*R,N=(2*r+P*(4*e+6*P*o))*d,F=i+P*(3*a+5*P*c),z=(2*(R*N+b*(F-1))*M-j*(2*(F-1)))/(M*M),L=u(x),H=h(x),q=E*L,B=E*H,W=p/m*(1/G(1-C/S))*(N*E-R*z)/S,I=B-l,D=d*(1+P*f)+E-q-g,Q=z*H+q*W,T=q*A,V=1+z-(z*L-B*W),_=B*A,K=Q*_-V*T;if(!K)break;p-=v=(D*Q-I*V)/K,d-=s=(I*_-D*T)/K}while((t(v)>w||t(s)>w)&&--y>0);return[p,d]},l}jn.invert=function(n,r){var e=r/(1+bn);return[n&&n/(bn*G(1-e*e)),2*o(e)]},Mn.invert=function(n,r){var e=o(r/M),t=u(e),i=2*e;return[n*M/2/(u(i)*t*t),i]};var Fn=Nn(2.8284,-1.6988,.75432,-.18071,1.76003,-.38914,.042555);var zn=Nn(2.583819,-.835827,.170354,-.038094,1.543313,-.411435,.082742);var Ln=Nn(5/6*m,-.62636,-.0344,0,1.3493,-.05524,0,.045);function Hn(n,r){var e=n*n,t=r*r;return[n*(1-.162388*t)*(.87-952426e-9*e*e),r*(1+t/12)]}Hn.invert=function(n,r){var e,o=n,i=r,u=50;do{var a=i*i;i-=e=(i*(1+a/12)-r)/(1+a/4)}while(t(e)>w&&--u>0);u=50,n/=1-.162388*a;do{var 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