diff --git a/src/ol/attribution.js b/src/ol/attribution.js
index 9ed407153f..ffd96e29ac 100644
--- a/src/ol/attribution.js
+++ b/src/ol/attribution.js
@@ -1,7 +1,7 @@
 goog.provide('ol.Attribution');
 
-goog.require('goog.math');
 goog.require('ol.TileRange');
+goog.require('ol.math');
 
 
 /**
@@ -80,8 +80,8 @@ ol.Attribution.prototype.intersectsAnyTileRange = function(tileRanges, tileGrid,
       if (tileRange.minX < extentTileRange.minX ||
           tileRange.maxX > extentTileRange.maxX) {
         if (testTileRange.intersects(new ol.TileRange(
-            goog.math.modulo(tileRange.minX, width),
-            goog.math.modulo(tileRange.maxX, width),
+            ol.math.modulo(tileRange.minX, width),
+            ol.math.modulo(tileRange.maxX, width),
             tileRange.minY, tileRange.maxY))) {
           return true;
         }
diff --git a/src/ol/coordinate.js b/src/ol/coordinate.js
index 30730145dd..d43bddeed6 100644
--- a/src/ol/coordinate.js
+++ b/src/ol/coordinate.js
@@ -2,8 +2,8 @@ goog.provide('ol.Coordinate');
 goog.provide('ol.CoordinateFormatType');
 goog.provide('ol.coordinate');
 
-goog.require('goog.math');
 goog.require('goog.string');
+goog.require('ol.math');
 
 
 /**
@@ -129,7 +129,7 @@ ol.coordinate.createStringXY = function(opt_fractionDigits) {
  * @return {string} String.
  */
 ol.coordinate.degreesToStringHDMS_ = function(degrees, hemispheres, opt_fractionDigits) {
-  var normalizedDegrees = goog.math.modulo(degrees + 180, 360) - 180;
+  var normalizedDegrees = ol.math.modulo(degrees + 180, 360) - 180;
   var x = Math.abs(3600 * normalizedDegrees);
   var dflPrecision = opt_fractionDigits || 0;
   return Math.floor(x / 3600) + '\u00b0 ' +
diff --git a/src/ol/geom/flat/closestflatgeom.js b/src/ol/geom/flat/closestflatgeom.js
index 2acdfdac8e..1c09a5b97b 100644
--- a/src/ol/geom/flat/closestflatgeom.js
+++ b/src/ol/geom/flat/closestflatgeom.js
@@ -1,7 +1,6 @@
 goog.provide('ol.geom.flat.closest');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('ol.math');
 
 
@@ -31,7 +30,7 @@ ol.geom.flat.closest.point = function(flatCoordinates, offset1, offset2, stride,
       offset = offset2;
     } else if (t > 0) {
       for (i = 0; i < stride; ++i) {
-        closestPoint[i] = goog.math.lerp(flatCoordinates[offset1 + i],
+        closestPoint[i] = ol.math.lerp(flatCoordinates[offset1 + i],
             flatCoordinates[offset2 + i], t);
       }
       closestPoint.length = stride;
diff --git a/src/ol/geom/flat/interpolateflatgeom.js b/src/ol/geom/flat/interpolateflatgeom.js
index ef76bbcef0..392642dd90 100644
--- a/src/ol/geom/flat/interpolateflatgeom.js
+++ b/src/ol/geom/flat/interpolateflatgeom.js
@@ -1,8 +1,8 @@
 goog.provide('ol.geom.flat.interpolate');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('ol.array');
+goog.require('ol.math');
 
 
 /**
@@ -52,9 +52,9 @@ ol.geom.flat.interpolate.lineString = function(flatCoordinates, offset, end, str
       var t = (target - cumulativeLengths[-index - 2]) /
           (cumulativeLengths[-index - 1] - cumulativeLengths[-index - 2]);
       var o = offset + (-index - 2) * stride;
-      pointX = goog.math.lerp(
+      pointX = ol.math.lerp(
           flatCoordinates[o], flatCoordinates[o + stride], t);
-      pointY = goog.math.lerp(
+      pointY = ol.math.lerp(
           flatCoordinates[o + 1], flatCoordinates[o + stride + 1], t);
     } else {
       pointX = flatCoordinates[offset + index * stride];
@@ -127,7 +127,7 @@ ol.geom.flat.lineStringCoordinateAtM = function(flatCoordinates, offset, end, st
   coordinate = [];
   var i;
   for (i = 0; i < stride - 1; ++i) {
-    coordinate.push(goog.math.lerp(flatCoordinates[(lo - 1) * stride + i],
+    coordinate.push(ol.math.lerp(flatCoordinates[(lo - 1) * stride + i],
         flatCoordinates[lo * stride + i], t));
   }
   coordinate.push(m);
diff --git a/src/ol/geom/polygon.js b/src/ol/geom/polygon.js
index 741589ac58..e27c51e08f 100644
--- a/src/ol/geom/polygon.js
+++ b/src/ol/geom/polygon.js
@@ -1,7 +1,6 @@
 goog.provide('ol.geom.Polygon');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('ol');
 goog.require('ol.array');
 goog.require('ol.extent');
@@ -19,6 +18,7 @@ goog.require('ol.geom.flat.interiorpoint');
 goog.require('ol.geom.flat.intersectsextent');
 goog.require('ol.geom.flat.orient');
 goog.require('ol.geom.flat.simplify');
+goog.require('ol.math');
 
 
 /**
@@ -467,7 +467,7 @@ ol.geom.Polygon.makeRegular = function(polygon, center, radius, opt_angle) {
   var angle, offset;
   for (var i = 0; i <= sides; ++i) {
     offset = i * stride;
-    angle = startAngle + (goog.math.modulo(i, sides) * 2 * Math.PI / sides);
+    angle = startAngle + (ol.math.modulo(i, sides) * 2 * Math.PI / sides);
     flatCoordinates[offset] = center[0] + (radius * Math.cos(angle));
     flatCoordinates[offset + 1] = center[1] + (radius * Math.sin(angle));
   }
diff --git a/src/ol/math.js b/src/ol/math.js
index 135f3dc1b8..0e4e8150d7 100644
--- a/src/ol/math.js
+++ b/src/ol/math.js
@@ -179,3 +179,27 @@ ol.math.toDegrees = function(angleInRadians) {
 ol.math.toRadians = function(angleInDegrees) {
   return angleInDegrees * Math.PI / 180;
 };
+
+/**
+ * Returns the modulo of a / b, depending on the sign of b.
+ *
+ * @param {number} a Dividend.
+ * @param {number} b Divisor.
+ * @return {number} Modulo.
+ */
+ol.math.modulo = function(a, b) {
+  var r = a % b;
+  return r * b < 0 ? r + b : r;
+};
+
+/**
+ * Calculates the linearly interpolated value of x between a and b.
+ *
+ * @param {number} a Number
+ * @param {number} b Number
+ * @param {number} x Value to be interpolated.
+ * @return {number} Interpolated value.
+ */
+ol.math.lerp = function(a, b, x) {
+  return a + x * (b - a);
+};
diff --git a/src/ol/reproj/triangulation.js b/src/ol/reproj/triangulation.js
index 9c60063ded..e893c134da 100644
--- a/src/ol/reproj/triangulation.js
+++ b/src/ol/reproj/triangulation.js
@@ -1,8 +1,8 @@
 goog.provide('ol.reproj.Triangulation');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('ol.extent');
+goog.require('ol.math');
 goog.require('ol.proj');
 
 
@@ -262,10 +262,10 @@ ol.reproj.Triangulation.prototype.addQuad_ = function(a, b, c, d,
       if (wrapsX) {
         goog.asserts.assert(this.sourceWorldWidth_);
         var centerSrcEstimX =
-            (goog.math.modulo(aSrc[0], this.sourceWorldWidth_) +
-             goog.math.modulo(cSrc[0], this.sourceWorldWidth_)) / 2;
+            (ol.math.modulo(aSrc[0], this.sourceWorldWidth_) +
+             ol.math.modulo(cSrc[0], this.sourceWorldWidth_)) / 2;
         dx = centerSrcEstimX -
-            goog.math.modulo(centerSrc[0], this.sourceWorldWidth_);
+            ol.math.modulo(centerSrc[0], this.sourceWorldWidth_);
       } else {
         dx = (aSrc[0] + cSrc[0]) / 2 - centerSrc[0];
       }
diff --git a/src/ol/source/tilearcgisrestsource.js b/src/ol/source/tilearcgisrestsource.js
index d72f00eafb..c0ed7fe440 100644
--- a/src/ol/source/tilearcgisrestsource.js
+++ b/src/ol/source/tilearcgisrestsource.js
@@ -1,12 +1,12 @@
 goog.provide('ol.source.TileArcGISRest');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('goog.uri.utils');
 goog.require('ol');
 goog.require('ol.TileCoord');
 goog.require('ol.extent');
 goog.require('ol.object');
+goog.require('ol.math');
 goog.require('ol.proj');
 goog.require('ol.size');
 goog.require('ol.source.TileImage');
@@ -105,7 +105,7 @@ ol.source.TileArcGISRest.prototype.getRequestUrl_ = function(tileCoord, tileSize
   if (urls.length == 1) {
     url = urls[0];
   } else {
-    var index = goog.math.modulo(ol.tilecoord.hash(tileCoord), urls.length);
+    var index = ol.math.modulo(ol.tilecoord.hash(tileCoord), urls.length);
     url = urls[index];
   }
 
diff --git a/src/ol/source/tilewmssource.js b/src/ol/source/tilewmssource.js
index f6d57cdf7e..e1c7321567 100644
--- a/src/ol/source/tilewmssource.js
+++ b/src/ol/source/tilewmssource.js
@@ -5,13 +5,13 @@
 goog.provide('ol.source.TileWMS');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('goog.string');
 goog.require('goog.uri.utils');
 goog.require('ol');
 goog.require('ol.TileCoord');
 goog.require('ol.extent');
 goog.require('ol.object');
+goog.require('ol.math');
 goog.require('ol.proj');
 goog.require('ol.size');
 goog.require('ol.source.TileImage');
@@ -277,7 +277,7 @@ ol.source.TileWMS.prototype.getRequestUrl_ = function(tileCoord, tileSize, tileE
   if (urls.length == 1) {
     url = urls[0];
   } else {
-    var index = goog.math.modulo(ol.tilecoord.hash(tileCoord), urls.length);
+    var index = ol.math.modulo(ol.tilecoord.hash(tileCoord), urls.length);
     url = urls[index];
   }
   return goog.uri.utils.appendParamsFromMap(url, params);
diff --git a/src/ol/tileurlfunction.js b/src/ol/tileurlfunction.js
index 49533af14a..3216d0cee3 100644
--- a/src/ol/tileurlfunction.js
+++ b/src/ol/tileurlfunction.js
@@ -2,8 +2,8 @@ goog.provide('ol.TileUrlFunction');
 goog.provide('ol.TileUrlFunctionType');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('ol.TileCoord');
+goog.require('ol.math');
 goog.require('ol.tilecoord');
 
 
@@ -109,7 +109,7 @@ ol.TileUrlFunction.createFromTileUrlFunctions = function(tileUrlFunctions) {
           return undefined;
         } else {
           var h = ol.tilecoord.hash(tileCoord);
-          var index = goog.math.modulo(h, tileUrlFunctions.length);
+          var index = ol.math.modulo(h, tileUrlFunctions.length);
           return tileUrlFunctions[index](tileCoord, pixelRatio, projection);
         }
       });
diff --git a/test/spec/ol/math.test.js b/test/spec/ol/math.test.js
index fbff4e80bb..e3e3b78d77 100644
--- a/test/spec/ol/math.test.js
+++ b/test/spec/ol/math.test.js
@@ -155,5 +155,41 @@ describe('ol.math.toRadians', function() {
   });
 });
 
+describe('ol.math.modulo', function() {
+  it('256 / 8 returns 0', function() {
+    expect(ol.math.modulo(256, 8)).to.be(0);
+  });
+  it('positive and positive returns a positive ', function() {
+    expect(ol.math.modulo(7, 8)).to.be(7);
+  });
+  it('same Dividend and Divisor returns 0', function() {
+    expect(ol.math.modulo(4, 4)).to.be(0);
+  });
+  it('negative and positive returns positive', function() {
+    expect(ol.math.modulo(-3, 4)).to.be(1);
+  });
+  it('negative and negative returns negative', function() {
+    expect(ol.math.modulo(-4, -5)).to.be(-4);
+    expect(ol.math.modulo(-3, -4)).to.be(-3);
+  });
+  it('positive and negative returns negative', function() {
+    expect(ol.math.modulo(3, -4)).to.be(-1);
+    expect(ol.math.modulo(1, -5)).to.be(-4);
+    expect(ol.math.modulo(6, -5)).to.be(-4);
+  });
+
+  describe('ol.math.lerp', function() {
+    it('correctly interpolated numbers', function() {
+      expect(ol.math.lerp(0, 0, 0)).to.be(0);
+      expect(ol.math.lerp(0, 1, 0)).to.be(0);
+      expect(ol.math.lerp(1, 11, 5)).to.be(51);
+    });
+    it('correctly interpolates floats', function() {
+      expect(ol.math.lerp(0, 1, 0.5)).to.be(0.5);
+      expect(ol.math.lerp(0.25, 0.75, 0.5)).to.be(0.5);
+    });
+  });
+});
+
 
 goog.require('ol.math');