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<!DOCTYPE html>
<html>
<head>
<meta charset=utf-8 />
<title>Swipe between layers</title>
<meta name='viewport' content='initial-scale=1,maximum-scale=1,user-scalable=no' />
<script src='https://api.tiles.mapbox.com/mapbox.js/v2.1.4/mapbox.js'></script>
<link href='https://api.tiles.mapbox.com/mapbox.js/v2.1.4/mapbox.css' rel='stylesheet' />
<style>
  body { margin:0; padding:0; }
  #map { position:absolute; top:0; bottom:0; width:100%; }
</style>
</head>
<body>
<style>
.range {
  position:absolute;
  width:100%;
  }
.leaflet-top .leaflet-control-zoom {
  top:20px;
  }
</style>
<div id='map'></div>
<input id='range' class='range' type='range' min='0' max='1.0' step='any' />
<script>
L.mapbox.accessToken = 'pk.eyJ1IjoiYW5kcmVhc3ZpZ2xha2lzIiwiYSI6IlVremRqN0kifQ.CFFJsLuWWyuhgsZTb51jWg';
var map = L.mapbox.map('map');
L.mapbox.tileLayer('aj.um7z9lus').addTo(map);
var overlay = L.mapbox.tileLayer('aj.03e9e12d').addTo(map);
var range = document.getElementById('range');
function clip() {
  var nw = map.containerPointToLayerPoint([0, 0]),
      se = map.containerPointToLayerPoint(map.getSize()),
      clipX = nw.x + (se.x - nw.x) * range.value;
  overlay.getContainer().style.clip = 'rect(' + [nw.y, clipX, se.y, nw.x].join('px,') + 'px)';
}
range['oninput' in range ? 'oninput' : 'onchange'] = clip;
map.on('move', clip);
map.setView([29.569 ,-94.373], 8);
clip();
</script>
</body>
</html>
Output

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