melting-antarctica

README.md

Polar coordinates version of Projecting Land suggested by Benjamin Riollet.

d3-geo-projection.js

// 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 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d3_.js

/**
 * @license
 * Lodash lodash.com/license | Underscore.js 1.8.3 underscorejs.org/LICENSE
 */
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index.html

<!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>

preview.png

script.js

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)
  })
}

style.css

body {
  background: #000; 
}

canvas {
  image-rendering: pixelated;                
  display: inline-block;
  position: relative;
/*  TODO: fix height math in js*/
  top: -200px; 
}

thumbnail.png

topojson.js

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null==t.id&&delete r.id,r}function c(n,t){function e(n,t){t.length&&t.pop();for(var r,e=l[0>n?~n:n],i=0,u=e.length;u>i;++i)t.push(r=e[i].slice()),s(r,i);0>n&&o(t,u)}function i(n){return n=n.slice(),s(n,0),n}function u(n){for(var t=[],r=0,o=n.length;o>r;++r)e(n[r],t);return t.length<2&&t.push(t[0].slice()),t}function f(n){for(var t=u(n);t.length<4;)t.push(t[0].slice());return t}function c(n){return n.map(f)}function a(n){var t=n.type;return"GeometryCollection"===t?{type:t,geometries:n.geometries.map(a)}:t in h?{type:t,coordinates:h[t](n)}:null}var s=r(n.transform),l=n.arcs,h={Point:function(n){return i(n.coordinates)},MultiPoint:function(n){return n.coordinates.map(i)},LineString:function(n){return u(n.arcs)},MultiLineString:function(n){return n.arcs.map(u)},Polygon:function(n){return c(n.arcs)},MultiPolygon:function(n){return n.arcs.map(c)}};return a(t)}function a(n,t){function r(t){var r,e=n.arcs[0>t?~t:t],o=e[0];return 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t=0>n?~n:n;(s[t]||(s[t]=[])).push({i:n,g:c})}function o(n){n.forEach(e)}function i(n){n.forEach(o)}function u(n){"GeometryCollection"===n.type?n.geometries.forEach(u):n.type in l&&(c=n,l[n.type](n.arcs))}var f=[];if(arguments.length>1){var c,s=[],l={LineString:o,MultiLineString:i,Polygon:i,MultiPolygon:function(n){n.forEach(i)}};u(t),s.forEach(arguments.length<3?function(n){f.push(n[0].i)}:function(n){r(n[0].g,n[n.length-1].g)&&f.push(n[0].i)})}else for(var h=0,p=n.arcs.length;p>h;++h)f.push(h);return{type:"MultiLineString",arcs:a(n,f)}}function h(n){var t=n[0],r=n[1],e=n[2];return Math.abs((t[0]-e[0])*(r[1]-t[1])-(t[0]-r[0])*(e[1]-t[1]))}function p(n){for(var t,r=-1,e=n.length,o=n[e-1],i=0;++r<e;)t=o,o=n[r],i+=t[0]*o[1]-t[1]*o[0];return i/2}function v(n){return c(n,g.apply(this,arguments))}function g(n,t){function r(n){n.forEach(function(t){t.forEach(function(t){(o[t=0>t?~t:t]||(o[t]=[])).push(n)})}),i.push(n)}function e(t){return 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world-110m.json