From d269839efb1470b3f44c5d201baf49e117783118 Mon Sep 17 00:00:00 2001 From: Kirill Vainer Date: Tue, 22 Sep 2015 21:53:50 -0400 Subject: [PATCH] FastMath: faster nearestPowerOfTwo and unit test --- .../src/main/java/com/jme3/math/FastMath.java | 19 +++++- .../test/java/com/jme3/math/FastMathTest.java | 59 +++++++++++++++++++ 2 files changed, 77 insertions(+), 1 deletion(-) create mode 100644 jme3-core/src/test/java/com/jme3/math/FastMathTest.java diff --git a/jme3-core/src/main/java/com/jme3/math/FastMath.java b/jme3-core/src/main/java/com/jme3/math/FastMath.java index d9d944057..4f1a7feed 100644 --- a/jme3-core/src/main/java/com/jme3/math/FastMath.java +++ b/jme3-core/src/main/java/com/jme3/math/FastMath.java @@ -87,8 +87,25 @@ final public class FastMath { return (number > 0) && (number & (number - 1)) == 0; } + /** + * Get the next power of two of the given number. + * + * E.g. for an input 100, this returns 128. + * Returns 1 for all numbers <= 1. + * + * @param number The number to obtain the POT for. + * @return The next power of two. + */ public static int nearestPowerOfTwo(int number) { - return (int) Math.pow(2, Math.ceil(Math.log(number) / Math.log(2))); + number--; + number |= number >> 1; + number |= number >> 2; + number |= number >> 4; + number |= number >> 8; + number |= number >> 16; + number++; + number += (number == 0) ? 1 : 0; + return number; } /** diff --git a/jme3-core/src/test/java/com/jme3/math/FastMathTest.java b/jme3-core/src/test/java/com/jme3/math/FastMathTest.java new file mode 100644 index 000000000..a74390d42 --- /dev/null +++ b/jme3-core/src/test/java/com/jme3/math/FastMathTest.java @@ -0,0 +1,59 @@ +/* + * Copyright (c) 2009-2015 jMonkeyEngine + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are + * met: + * + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * * Neither the name of 'jMonkeyEngine' nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED + * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF + * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING + * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ +package com.jme3.math; + +import org.junit.Test; + +/** + * Verifies that algorithms in {@link FastMath} are working correctly. + * + * @author Kirill Vainer + */ +public class FastMathTest { + + private int nearestPowerOfTwoSlow(int number) { + return (int) Math.pow(2, Math.ceil(Math.log(number) / Math.log(2))); + } + + @Test + public void testNearestPowerOfTwo() { + for (int i = -100; i < 1; i++) { + assert FastMath.nearestPowerOfTwo(i) == 1; + } + for (int i = 1; i < 10000; i++) { + int nextPowerOf2 = FastMath.nearestPowerOfTwo(i); + assert i <= nextPowerOf2; + assert FastMath.isPowerOfTwo(nextPowerOf2); + assert nextPowerOf2 == nearestPowerOfTwoSlow(i); + } + } +}