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diff --git a/src/main/java/org/apache/commons/math3/random/UniformRandomGenerator.java b/src/main/java/org/apache/commons/math3/random/UniformRandomGenerator.java
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+/*
+ * 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.math3.random;
+
+import org.apache.commons.math3.util.FastMath;
+
+/**
+ * This class implements a normalized uniform random generator.
+ *
+ * <p>Since it is a normalized random generator, it generates values from a uniform distribution
+ * with mean equal to 0 and standard deviation equal to 1. Generated values fall in the range
+ * [-&#x0221A;3, +&#x0221A;3].
+ *
+ * @since 1.2
+ */
+public class UniformRandomGenerator implements NormalizedRandomGenerator {
+
+    /** Square root of three. */
+    private static final double SQRT3 = FastMath.sqrt(3.0);
+
+    /** Underlying generator. */
+    private final RandomGenerator generator;
+
+    /**
+     * Create a new generator.
+     *
+     * @param generator underlying random generator to use
+     */
+    public UniformRandomGenerator(RandomGenerator generator) {
+        this.generator = generator;
+    }
+
+    /**
+     * Generate a random scalar with null mean and unit standard deviation.
+     *
+     * <p>The number generated is uniformly distributed between -&sqrt;(3) and +&sqrt;(3).
+     *
+     * @return a random scalar with null mean and unit standard deviation
+     */
+    public double nextNormalizedDouble() {
+        return SQRT3 * (2 * generator.nextDouble() - 1.0);
+    }
+}