diff --git a/src/test/org/apache/commons/math/ode/sampling/StepInterpolatorTestUtils.java b/src/test/org/apache/commons/math/ode/sampling/StepInterpolatorTestUtils.java
new file mode 100644
index 000000000..18b2a1379
--- /dev/null
+++ b/src/test/org/apache/commons/math/ode/sampling/StepInterpolatorTestUtils.java
@@ -0,0 +1,91 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.math.ode.sampling;
+
+import static org.junit.Assert.assertEquals;
+
+import org.apache.commons.math.ode.DerivativeException;
+import org.apache.commons.math.ode.FirstOrderIntegrator;
+import org.apache.commons.math.ode.IntegratorException;
+import org.apache.commons.math.ode.nonstiff.TestProblemAbstract;
+
+public class StepInterpolatorTestUtils {
+
+    public static void checkDerivativesConsistency(final FirstOrderIntegrator integrator,
+                                                   final TestProblemAbstract problem,
+                                                   final double threshold)
+        throws DerivativeException, IntegratorException {
+        integrator.addStepHandler(new StepHandler() {
+
+            private static final long serialVersionUID = 2462564234755682953L;
+
+            public boolean requiresDenseOutput() {
+                return true;
+            }
+
+            public void handleStep(StepInterpolator interpolator, boolean isLast)
+                throws DerivativeException {
+
+                final double h = 0.001 * (interpolator.getCurrentTime() - interpolator.getPreviousTime());
+                final double t = interpolator.getCurrentTime() - 300 * h;
+
+                if (Math.abs(h) < 10 * Math.ulp(t)) {
+                    return;
+                }
+
+                interpolator.setInterpolatedTime(t - 4 * h);
+                final double[] yM4h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t - 3 * h);
+                final double[] yM3h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t - 2 * h);
+                final double[] yM2h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t - h);
+                final double[] yM1h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t + h);
+                final double[] yP1h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t + 2 * h);
+                final double[] yP2h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t + 3 * h);
+                final double[] yP3h = interpolator.getInterpolatedState().clone();
+                interpolator.setInterpolatedTime(t + 4 * h);
+                final double[] yP4h = interpolator.getInterpolatedState().clone();
+
+                interpolator.setInterpolatedTime(t);
+                final double[] yDot = interpolator.getInterpolatedDerivatives();
+
+                for (int i = 0; i < yDot.length; ++i) {
+                    final double approYDot = ( -3 * (yP4h[i] - yM4h[i]) +
+                                               32 * (yP3h[i] - yM3h[i]) +
+                                             -168 * (yP2h[i] - yM2h[i]) +
+                                              672 * (yP1h[i] - yM1h[i])) / (840 * h);
+                    assertEquals(approYDot, yDot[i], threshold);
+                }
+
+            }
+
+            public void reset() {
+            }
+
+        });
+
+        integrator.integrate(problem,
+                             problem.getInitialTime(), problem.getInitialState(),
+                             problem.getFinalTime(), new double[problem.getDimension()]);
+
+    }
+}
+