Polar coordinates version of Projecting Land suggested by Benjamin Riollet.
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May 28, 2023 04:59
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melting-antarctica
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| // https://d3js.org/d3-geo-projection/ Version 1.0.3. Copyright 2016 Mike Bostock. | |
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kt=Xe/nt;Ar.invert=function(n,r){var e=Be(n),t=Be(r),o=Ue,a=Ye;t<kt?a*=t/kt:o+=6*i(kt/t);for(var c=0;c<25;c++){var f=Ke(a),l=u(Fe(a)),v=Ke(a/2),g=Fe(a/2),s=Ke(o/6),h=Fe(o/6),w=.5*o*(1+l)-e,p=a/(g*h)-t,d=l?-.25*o*f/l:0,P=.5*(1+l),R=(1+.5*a*v/g)/(g*h),m=a/g*(s/6)/(h*h),j=d*m-R*P,M=(w*m-p*P)/j,A=(p*d-w*R)/j;if(a-=M,o-=A,Be(M)<Ue&&Be(A)<Ue)break}return[n<0?-o:o,r<0?-a:a]},Er.invert=function(n,r){var e=_e(n)*Xe,t=r/2,o=50;do{var i=e*e,u=t*t,a=e*t,c=e*(.975534+u*(-.119161+i*-.0143059+u*-.0547009))-n,f=t*(1.00384+i*(.0802894+u*-.02855+199025e-9*i)+u*(.0998909+u*-.0491032))-r,l=.975534-u*(.119161+3*i*.0143059+.0547009*u),v=-a*(.238322+.2188036*u+.0286118*i),g=a*(.1605788+7961e-7*i+-.0571*u),s=1.00384+i*(.0802894+199025e-9*i)+u*(3*(.0998909-.02855*i)-.245516*u),h=v*g-s*l,w=(f*v-c*s)/h,p=(c*g-f*l)/h;e-=w,t-=p}while((Be(w)>Ue||Be(p)>Ue)&&--o>0);return o&&[e,t]},br.invert=function(n,r){var e=n*n,t=r*r,a=t+1,c=n?$e*u((a-u(e*e+2*e*(t-1)+a*a))/e+1):1/u(a);return[o(n*c),_e(r)*i(c)]},qr.invert=function(n,r){return[n,2.5*Le(We(.8*r))-.625*Xe]};var Gt=[[.9972523,0],[.0052513,-.0041175],[.0074606,.0048125],[-.0153783,-.1968253],[.0636871,-.1408027],[.3660976,-.2937382]],zt=[[.98879,0],[0,0],[-.050909,0],[0,0],[.075528,0]],qt=[[.984299,0],[.0211642,.0037608],[-.1036018,-.0575102],[-.0329095,-.0320119],[.0499471,.1223335],[.026046,.0899805],[7388e-7,-.1435792],[.0075848,-.1334108],[-.0216473,.0776645],[-.0225161,.0853673]],Ct=[[.9245,0],[0,0],[.01943,0]],Ht=[[.721316,0],[0,0],[-.00881625,-.00617325]],Bt=u(6),Lt=u(7);Tr.invert=function(n,r){var e=3*o(r*Lt/9);return[n*Lt/(Bt*(2*Fe(2*e/3)-1)),o(3*Ke(e)*Bt/7)]},Vr.invert=function(n,r){var e=r*u(2+nt)/(2*u(3)),t=2*o(e);return[3*nt*n/(1+2*Fe(t)/Fe(t/2)),o((e+Ke(t))/(1+$e))]},Nr.invert=function(n,r){var e=u(6/(4+Xe)),t=r/e;return Be(Be(t)-Ye)<Ue&&(t=t<0?-Ye:Ye),[1.5*n/(e*(.5+Fe(t))),o((t/2+Ke(t))/(1+Xe/4))]},Kr.invert=function(n,r){var e,t=r,o=25;do{var i=t*t,u=i*i;t-=e=(t*(1.007226+i*(.015085+u*(-.044475+.028874*i-.005916*u)))-r)/(1.007226+i*(.045255+u*(-.311325+.259866*i-.005916*11*u)))}while(Be(e)>Ue&&--o>0);return[n/(.8707+(i=t*t)*(-.131979+i*(-.013791+i*i*i*(.003971-.001529*i)))),t]},Ur.invert=function(n,r){for(var e=r/2,t=0,o=1/0;t<10&&Be(o)>Ue;++t){var i=Fe(r/2);r-=o=(r-Oe(r/2)-e)/(1-.5/(i*i))}return[2*n/(1+Fe(r)),r]};var xt=1.0148,Ft=.23185,Wt=-.14499,It=.02406,Tt=xt,Dt=5*Ft,Vt=7*Wt,Qt=9*It,Nt=1.790857183;Xr.invert=function(n,r){r>Nt?r=Nt:r<-Nt&&(r=-Nt);var e,t=r;do{var o=t*t;t-=e=(t*(xt+o*o*(Ft+o*(Wt+It*o)))-r)/(Tt+o*o*(Dt+o*(Vt+Qt*o)))}while(Be(e)>Ue);return[n,t]},$r.invert=function(n,r){if(Be(r)<Ue)return[n,0];var e,t=n*n+r*r,u=.5*r,a=10;do{var c=Oe(u),f=1/Fe(u),l=t-2*r*u+u*u;u-=e=(c*l+2*(u-r))/(2+l*f*f+2*(u-r)*c)}while(Be(e)>Ue&&--a>0);return c=Oe(u),[(Be(r)<Be(u+1/c)?o(n*c):_e(n)*(i(Be(n*c))+Ye))/Ke(u),u]};var _t=[[.9986,-.062],[1,0],[.9986,.062],[.9954,.124],[.99,.186],[.9822,.248],[.973,.31],[.96,.372],[.9427,.434],[.9216,.4958],[.8962,.5571],[.8679,.6176],[.835,.6769],[.7986,.7346],[.7597,.7903],[.7186,.8435],[.6732,.8936],[.6213,.9394],[.5722,.9761],[.5322,1]];_t.forEach(function(n){n[1]*=1.0144}),te.invert=function(n,r){var e=r/Ye,t=90*e,o=Ve(18,Be(t/5)),i=De(0,Ie(o));do{var u=_t[i][1],a=_t[i+1][1],c=_t[Ve(19,i+2)][1],f=c-u,l=c-2*a+u,v=2*(Be(e)-a)/f,g=l/f,s=v*(1-g*v*(1-2*g*v));if(s>=0||1===i){t=(r>=0?5:-5)*(s+o);var h,w=50;do o=Ve(18,Be(t)/5),i=Ie(o),s=o-i,u=_t[i][1],a=_t[i+1][1],c=_t[Ve(19,i+2)][1],t-=(h=(r>=0?Ye:-Ye)*(a+s*(c-u)/2+s*s*(c-2*a+u)/2)-r)*tt;while(Be(h)>Je&&--w>0);break}}while(--i>=0);var p=_t[i][0],d=_t[i+1][0],P=_t[Ve(19,i+2)][0];return[n/(d+s*(P-p)/2+s*s*(P-2*d+p)/2),t*ot]},ce.invert=function(n,r){var e=r/1.70711,t=Ke(Ze*e);return[n/(.74482-.34588*t*t),2*Le(e)]},de.invert=function(n,r){if(Be(r)<Ue)return[n,0];if(Be(n)<Ue)return[0,Ye*Ke(2*Le(r/Xe))];var e=(n/=Xe)*n,t=(r/=Xe)*r,o=e+t,a=o*o,c=-Be(r)*(1+o),f=c-2*t+e,l=-2*c+1+2*t+a,v=t/l+(2*f*f*f/(l*l*l)-9*c*f/(l*l))/27,g=(c-f*f/(3*l))/l,s=2*u(-g/3),h=i(3*v/(g*s))/3;return[Xe*(o-1+u(1+2*(e-t)+a))/(2*n),_e(r)*Xe*(-s*Fe(h+Xe/3)-f/(3*l))]},Re.invert=function(n,r){if(!n)return[0,Ye*Ke(2*Le(r/Xe))];var e=Be(n/Xe),t=(1-e*e-(r/=Xe)*r)/(2*e),o=t*t,i=u(o+1);return[_e(n)*Xe*(i-t),_e(r)*Ye*Ke(2*xe(u((1-2*t*e)*(t+i)-e),u(i+t+e)))]},je.invert=function(n,r){if(!r)return[n,0];var e=r/Xe,t=(Xe*Xe*(1-e*e)-n*n)/(2*Xe*n);return[n?Xe*(_e(n)*u(t*t+1)-t):0,Ye*Ke(2*Le(e))]},Ae.invert=function(n,r){var e;if(!n||!r)return[n,r];r/=Xe;var t=_e(n)*n/Ye,o=(t*t-1+4*r*r)/Be(t),i=o*o,a=2*r,c=50;do{var f=a*a,l=(8*a-f*(f+2)-5)/(2*f*(a-1)),v=(3*a-f*a-10)/(2*f*a),g=l*l,s=a*l,h=a+l,w=h*h,p=a+3*l,d=w*(f+g*i-1)+(1-f)*(f*(p*p+4*g)+g*(12*s+4*g)),P=-2*h*(4*s*g+(1-4*f+3*f*f)*(1+v)+g*(-6+14*f-i+(-8+8*f-2*i)*v)+s*(-8+12*f+(-10+10*f-i)*v)),R=u(d),m=o*(w+g-1)+2*R-t*(4*w+i),j=o*(2*l*v+2*h*(1+v))+P/R-8*h*(o*(-1+g+w)+2*R)*(1+v)/(i+4*w);a-=e=m/j}while(e>Ue&&--c>0);return[_e(n)*(u(o*o+4)+o)*Xe/4,Ye*a]};var Kt=4*Xe+3*u(3),Ot=2*u(2*Xe*u(3)/Kt),Ut=E(Ot*u(3)/Xe,Ot,Kt/6);Se.invert=function(n,r){return[n/u(1-3*r*r/(Xe*Xe)),r]},ke.invert=function(n,r){var e=n/2.66723,t=r/1.24104,i=u(e*e+t*t),a=2*o(i/2);return[3*xe(n*Oe(a),2.66723*i),i&&o(r*Ke(a)/(1.24104*.90631*i))]},ze.invert=function(n,r){var e=(n*n+r*r)/-2,t=u(-e*(2+e)),i=r*e+n*t,a=n*e-r*t,c=u(a*a+i*i);return[xe(t*i,c*(1+e)),c?-o(t*a/c):0]},Ce.invert=function(n,r){var e=n,t=r,o=25;do{var a,c=Fe(t),f=Ke(t),l=Ke(2*t),v=f*f,g=c*c,s=Ke(e),h=Fe(e/2),w=Ke(e/2),p=w*w,d=1-g*h*h,P=d?i(c*h)*u(a=1/d):a=0,R=.5*(2*P*c*w+e/Ye)-n,m=.5*(P*f+t)-r,j=.5*a*(g*p+P*c*h*v)+.5/Ye,M=a*(s*l/4-P*f*w),A=.125*a*(l*w-P*f*g*s),y=.5*a*(v*h+P*p*c)+.5,E=M*A-y*j,S=(m*M-R*y)/E,b=(R*A-m*j)/E;e-=S,t-=b}while((Be(S)>Ue||Be(b)>Ue)&&--o>0);return[e,t]},n.geoAiry=s,n.geoAiryRaw=g,n.geoAitoff=w,n.geoAitoffRaw=h,n.geoArmadillo=d,n.geoArmadilloRaw=p,n.geoAugust=R,n.geoAugustRaw=P,n.geoBaker=j,n.geoBakerRaw=m,n.geoBerghaus=A,n.geoBerghausRaw=M,n.geoBoggs=k,n.geoBoggsRaw=b,n.geoBonne=H,n.geoBonneRaw=C,n.geoBottomley=L,n.geoBottomleyRaw=B,n.geoBromley=x,n.geoBromleyRaw=lt,n.geoChamberlin=Q,n.geoChamberlinRaw=T,n.geoChamberlinAfrica=V,n.geoCollignon=_,n.geoCollignonRaw=N,n.geoCraig=O,n.geoCraigRaw=K,n.geoCraster=J,n.geoCrasterRaw=U,n.geoCylindricalEqualArea=Y,n.geoCylindricalEqualAreaRaw=X,n.geoCylindricalStereographic=$,n.geoCylindricalStereographicRaw=Z,n.geoEckert1=rn,n.geoEckert1Raw=nn,n.geoEckert2=tn,n.geoEckert2Raw=en,n.geoEckert3=un,n.geoEckert3Raw=on,n.geoEckert4=cn,n.geoEckert4Raw=an,n.geoEckert5=ln,n.geoEckert5Raw=fn,n.geoEckert6=gn,n.geoEckert6Raw=vn,n.geoEisenlohr=hn,n.geoEisenlohrRaw=sn,n.geoFahey=pn,n.geoFaheyRaw=wn,n.geoFoucaut=Pn,n.geoFoucautRaw=dn,n.geoGilbert=jn,n.geoGingery=En,n.geoGingeryRaw=Mn,n.geoGinzburg4=bn,n.geoGinzburg4Raw=ht,n.geoGinzburg5=kn,n.geoGinzburg5Raw=wt,n.geoGinzburg6=Gn,n.geoGinzburg6Raw=pt,n.geoGinzburg8=qn,n.geoGinzburg8Raw=zn,n.geoGinzburg9=Cn,n.geoGinzburg9Raw=dt,n.geoGringorten=Fn,n.geoGringortenRaw=Bn,n.geoGringortenQuincuncial=In,n.geoGuyou=On,n.geoGuyouRaw=Nn,n.geoHammer=Xn,n.geoHammerRaw=Un,n.geoHammerRetroazimuthal=$n,n.geoHammerRetroazimuthalRaw=Yn,n.geoHealpix=er,n.geoHealpixRaw=nr,n.geoHill=or,n.geoHillRaw=tr,n.geoHomolosine=cr,n.geoHomolosineRaw=ar,n.geoInterrupt=gr,n.geoInterruptedBoggs=sr,n.geoInterruptedHomolosine=hr,n.geoInterruptedMollweide=wr,n.geoInterruptedMollweideHemispheres=pr,n.geoInterruptedSinuMollweide=dr,n.geoInterruptedSinusoidal=Pr,n.geoKavrayskiy7=mr,n.geoKavrayskiy7Raw=Rr,n.geoLagrange=Mr,n.geoLagrangeRaw=jr,n.geoLarrivee=yr,n.geoLarriveeRaw=Ar,n.geoLaskowski=Sr,n.geoLaskowskiRaw=Er,n.geoLittrow=kr,n.geoLittrowRaw=br,n.geoLoximuthal=zr,n.geoLoximuthalRaw=Gr,n.geoMiller=Cr,n.geoMillerRaw=qr,n.geoModifiedStereographic=Ir,n.geoModifiedStereographicRaw=Hr,n.geoModifiedStereographicAlaska=Br,n.geoModifiedStereographicGs48=Lr,n.geoModifiedStereographicGs50=xr,n.geoModifiedStereographicMiller=Fr,n.geoModifiedStereographicLee=Wr,n.geoMollweide=S,n.geoMollweideRaw=at,n.geoMtFlatPolarParabolic=Dr,n.geoMtFlatPolarParabolicRaw=Tr,n.geoMtFlatPolarQuartic=Qr,n.geoMtFlatPolarQuarticRaw=Vr,n.geoMtFlatPolarSinusoidal=_r,n.geoMtFlatPolarSinusoidalRaw=Nr,n.geoNaturalEarth=Or,n.geoNaturalEarthRaw=Kr,n.geoNellHammer=Jr,n.geoNellHammerRaw=Ur,n.geoPatterson=Yr,n.geoPattersonRaw=Xr,n.geoPeirceQuincuncial=Zr,n.geoPierceQuincuncial=Zr,n.geoPolyconic=ne,n.geoPolyconicRaw=$r,n.geoRectangularPolyconic=ee,n.geoRectangularPolyconicRaw=re,n.geoRobinson=oe,n.geoRobinsonRaw=te,n.geoSatellite=ae,n.geoSatelliteRaw=ue,n.geoSinuMollweide=ur,n.geoSinuMollweideRaw=ir,n.geoSinusoidal=q,n.geoSinusoidalRaw=z,n.geoTimes=fe,n.geoTimesRaw=ce,n.geoTwoPointAzimuthal=se,n.geoTwoPointAzimuthalRaw=ve,n.geoTwoPointAzimuthalUsa=ge,n.geoTwoPointEquidistant=pe,n.geoTwoPointEquidistantRaw=he,n.geoTwoPointEquidistantUsa=we,n.geoVanDerGrinten=Pe,n.geoVanDerGrintenRaw=de,n.geoVanDerGrinten2=me,n.geoVanDerGrinten2Raw=Re,n.geoVanDerGrinten3=Me,n.geoVanDerGrinten3Raw=je,n.geoVanDerGrinten4=ye,n.geoVanDerGrinten4Raw=Ae,n.geoWagner4=Ee,n.geoWagner4Raw=Ut,n.geoWagner6=be,n.geoWagner6Raw=Se,n.geoWagner7=Ge,n.geoWagner7Raw=ke,n.geoWiechel=qe,n.geoWiechelRaw=ze,n.geoWinkel3=He,n.geoWinkel3Raw=Ce,Object.defineProperty(n,"__esModule",{value:!0})}); 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| /** | |
| * @license | |
| * Lodash lodash.com/license | Underscore.js 1.8.3 underscorejs.org/LICENSE | |
| */ | |
| ;(function(){function n(n,t){return n.set(t[0],t[1]),n}function t(n,t){return n.add(t),n}function r(n,t,r){switch(r.length){case 0:return n.call(t);case 1:return n.call(t,r[0]);case 2:return n.call(t,r[0],r[1]);case 3:return n.call(t,r[0],r[1],r[2])}return n.apply(t,r)}function e(n,t,r,e){for(var u=-1,i=null==n?0:n.length;++u<i;){var o=n[u];t(e,o,r(o),n)}return e}function u(n,t){for(var r=-1,e=null==n?0:n.length;++r<e&&false!==t(n[r],r,n););return n}function i(n,t){for(var r=null==n?0:n.length;r--&&false!==t(n[r],r,n);); | |
| return n}function o(n,t){for(var r=-1,e=null==n?0:n.length;++r<e;)if(!t(n[r],r,n))return false;return true}function f(n,t){for(var r=-1,e=null==n?0:n.length,u=0,i=[];++r<e;){var o=n[r];t(o,r,n)&&(i[u++]=o)}return i}function c(n,t){return!(null==n||!n.length)&&-1<d(n,t,0)}function a(n,t,r){for(var e=-1,u=null==n?0:n.length;++e<u;)if(r(t,n[e]))return true;return false}function l(n,t){for(var r=-1,e=null==n?0:n.length,u=Array(e);++r<e;)u[r]=t(n[r],r,n);return u}function s(n,t){for(var r=-1,e=t.length,u=n.length;++r<e;)n[u+r]=t[r]; | |
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| <!DOCTYPE html> | |
| <meta charset='utf-8'> | |
| <link rel='stylesheet' type='text/css' href='style.css'> | |
| <body> | |
| <div id='map-container'><canvas id='map'></canvas></div> | |
| </body> | |
| <script src='d3_.js'></script> | |
| <script src='d3-geo-projection.js'></script> | |
| <script src='topojson.js'></script> | |
| <script src='script.js'></script> | |
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| console.clear() | |
| var width = 800 | |
| var height = width | |
| var colors = ['#F44336', '#2196F3', '#4CAF50', '#9C27B0', '#ccc','#FF9800', '#795548'] | |
| console.log('hi') | |
| d3.json('world-110m.json', function(err, world){ | |
| //set up canvas | |
| var ctx = d3.select('#map') | |
| .at({width: width, height: height}) | |
| .st({width: width + 'px', height: height + 'px'}) | |
| .node().getContext('2d') | |
| // draw map | |
| var projection = d3.geoMollweide() | |
| .rotate([0, 90]) | |
| .fitSize([width, height], topojson.feature(world, world.objects.countries)) | |
| var path = d3.geoPath().projection(projection).context(ctx) | |
| d3.nestBy(world.objects.countries.geometries, d => d.properties.continent) | |
| .map(d => topojson.merge(world, d)) | |
| .sort(d3.descendingKey(d => d.coordinates.length)) | |
| .forEach(function(d, i){ | |
| ctx.fillStyle = colors[i] | |
| // ctx.strokeStyle = '#000' | |
| // ctx.lineWidth = 1 | |
| ctx.beginPath(), path(d), ctx.fill()//, ctx.stroke() | |
| }) | |
| var {pts, imgData} = ctxToPixels(ctx) | |
| calcNextPixel(pts) | |
| var sortedPts = _.sortBy(pts, d => d.r) | |
| // set to -d.r to bubble out water | |
| // var sortedPts = _.shuffle(pts) | |
| var rgbaClear = [0, 0, 0, 0] | |
| var stepCount = 0 | |
| function step(){ | |
| stepCount++ | |
| // var isSkipDiag = Math.random() < .5 | |
| var isSkipDiag = stepCount % 2 | |
| sortedPts.forEach(d => { | |
| if (!d.next) return | |
| if (d.next.rgba[3] == 0 && d.rgba[3] != 0){ | |
| // TODO: fix near corner tearing | |
| if (d.manhattanDist == 2 && isSkipDiag) return | |
| // if (d.manhattanDist == 2) d.skip = !d.skip | |
| // if (d.skip) return | |
| d.next.rgba = d.rgba | |
| d.rgba = rgbaClear | |
| // TODO: add active queue | |
| } | |
| }) | |
| pts.forEach((d, i) => { | |
| imgData.data[i*4 + 0] = d.rgba[0] | |
| imgData.data[i*4 + 1] = d.rgba[1] | |
| imgData.data[i*4 + 2] = d.rgba[2] | |
| imgData.data[i*4 + 3] = d.rgba[3] | |
| }) | |
| ctx.putImageData(imgData, 0, 0) | |
| } | |
| window.interval?.stop() | |
| window.interval = d3.interval(() => { | |
| if (stepCount > 300) interval.stop() | |
| step() | |
| }, 0) | |
| d3.select('body').on('click', step) | |
| }) | |
| function ctxToPixels(ctx){ | |
| var imgData = ctx.getImageData(0, 0, width, height) | |
| var data = imgData.data | |
| var pts = [] | |
| for (var y = 0; y < height; y += 1) { | |
| for (var x = 0; x < width; x += 1) { | |
| var i = (x + y*width)*4 | |
| var rgba = [data[i], data[i + 1], data[i + 2], data[i + 3]] | |
| pts.push({x, y, rgba}) | |
| } | |
| } | |
| return {pts, imgData} | |
| } | |
| function calcNextPixel(pts){ | |
| var cx = Math.floor(width/2) | |
| var cy = Math.floor(height/2) | |
| pts.forEach((d, i) => { | |
| var dx = d.x - cx | |
| var dy = d.y - cx | |
| var r = Math.sqrt(dx*dx + dy*dy) | |
| var θ = Math.atan2(dy, dx) | |
| var nx = Math.round((r - .8)*Math.cos(θ)) + cx | |
| var ny = Math.round((r - .8)*Math.sin(θ)) + cy | |
| d.origI = i | |
| d.r = r | |
| d.next = pts[nx + ny*width] | |
| d.manhattanDist = Math.abs(d.x - nx) + Math.abs(d.y - ny) | |
| }) | |
| } | |
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| body { | |
| background: #000; | |
| } | |
| canvas { | |
| image-rendering: pixelated; | |
| display: inline-block; | |
| position: relative; | |
| /* TODO: fix height math in js*/ | |
| top: -200px; | |
| } | |
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