diff --git a/src/ol/tile/tilebounds.js b/src/ol/tile/tilebounds.js
index 133f62117c..4c139d2026 100644
--- a/src/ol/tile/tilebounds.js
+++ b/src/ol/tile/tilebounds.js
@@ -49,13 +49,23 @@ ol.TileBounds.prototype.clone = function() {
 };
 
 
+/**
+ * @param {ol.TileCoord} tileCoord Tile coordinate.
+ * @return {boolean} Contains tile coordinate.
+ */
+ol.TileBounds.prototype.contains = function(tileCoord) {
+  return this.minX <= tileCoord.x && tileCoord.x <= this.maxX &&
+      this.minY <= tileCoord.y && tileCoord.y <= this.maxY;
+};
+
+
 /**
  * @param {ol.TileBounds} tileBounds Tile bounds.
  * @return {boolean} Contains.
  */
-ol.TileBounds.prototype.contains = function(tileBounds) {
+ol.TileBounds.prototype.containsTileBounds = function(tileBounds) {
   return this.minX <= tileBounds.minX && tileBounds.maxX <= this.maxX &&
-      this.minY <= tileBounds.minY && tileBounds.minY <= this.minY;
+      this.minY <= tileBounds.minY && tileBounds.minY <= this.maxY;
 };
 
 
diff --git a/src/ol/tile/tilebounds_test.js b/src/ol/tile/tilebounds_test.js
index 152c287980..2d6c01ae44 100644
--- a/src/ol/tile/tilebounds_test.js
+++ b/src/ol/tile/tilebounds_test.js
@@ -14,17 +14,33 @@ function testClone() {
 }
 
 
-function testContainsPositive() {
-  var tileBounds = new ol.TileBounds(0, 0, 2, 2);
-  var tileCoord = new ol.TileCoord(3, 1, 1);
-  assertTrue(tileBounds.contains(tileCoord));
-}
-
-
-function testContainsNegative() {
-  var tileBounds = new ol.TileBounds(0, 0, 2, 2);
-  var tileCoord = new ol.TileCoord(3, 1, 3);
-  assertFalse(tileBounds.contains(tileCoord));
+function testContains() {
+  var tileBounds = new ol.TileBounds(1, 1, 3, 3);
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 0, 0)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 0, 1)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 0, 2)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 0, 3)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 0, 4)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 1, 0)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 1, 1)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 1, 2)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 1, 3)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 1, 4)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 2, 0)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 2, 1)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 2, 2)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 2, 3)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 2, 4)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 3, 0)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 3, 1)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 3, 2)));
+  assertTrue(tileBounds.contains(new ol.TileCoord(0, 3, 3)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 3, 4)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 4, 0)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 4, 1)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 4, 2)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 4, 3)));
+  assertFalse(tileBounds.contains(new ol.TileCoord(0, 4, 4)));
 }
 
 
diff --git a/src/ol/webgl/tilelayerrenderer.js b/src/ol/webgl/tilelayerrenderer.js
index 225e39d074..bc0ed2a4ef 100644
--- a/src/ol/webgl/tilelayerrenderer.js
+++ b/src/ol/webgl/tilelayerrenderer.js
@@ -291,7 +291,7 @@ ol.webgl.TileLayerRenderer.prototype.render = function() {
       tileBounds.minY,
       tileBounds.minX + nTilesX - 1,
       tileBounds.minY + nTilesY - 1);
-  goog.asserts.assert(framebufferTileBounds.contains(tileBounds));
+  goog.asserts.assert(framebufferTileBounds.containsTileBounds(tileBounds));
 
   this.bindFramebuffer_(framebufferDimension);
   gl.viewport(0, 0, framebufferDimension, framebufferDimension);