8275821: Optimize random number generators developed in JDK-8248862 using Math.unsignedMultiplyHigh()
Reviewed-by: psandoz, jlaskey
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@ -323,17 +323,7 @@ public final class L128X1024MixRandom extends AbstractSplittableWithBrineGenerat
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// Update the LCG subgenerator
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// The LCG is, in effect, s = ((1LL << 64) + ML) * s + a, if only we had 128-bit arithmetic.
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final long u = ML * sl;
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// Note that Math.multiplyHigh computes the high half of the product of signed values,
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// but what we need is the high half of the product of unsigned values; for this we use the
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// formula "unsignedMultiplyHigh(a, b) = multiplyHigh(a, b) + ((a >> 63) & b) + ((b >> 63) & a)";
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// in effect, each operand is added to the result iff the sign bit of the other operand is 1.
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// (See Henry S. Warren, Jr., _Hacker's Delight_ (Second Edition), Addison-Wesley (2013),
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// Section 8-3, p. 175; or see the First Edition, Addison-Wesley (2003), Section 8-3, p. 133.)
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// If Math.unsignedMultiplyHigh(long, long) is ever implemented, the following line can become:
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// sh = (ML * sh) + Math.unsignedMultiplyHigh(ML, sl) + sl + ah;
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// and this entire comment can be deleted.
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sh = (ML * sh) + (Math.multiplyHigh(ML, sl) + ((ML >> 63) & sl) + ((sl >> 63) & ML)) + sl + ah;
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sh = (ML * sh) + Math.unsignedMultiplyHigh(ML, sl) + sl + ah;
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sl = u + al;
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if (Long.compareUnsigned(sl, u) < 0) ++sh; // Handle the carry propagation from low half to high half.
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@ -248,16 +248,7 @@ public final class L128X128MixRandom extends AbstractSplittableWithBrineGenerato
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// Update the LCG subgenerator
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// The LCG is, in effect, s = ((1LL << 64) + ML) * s + a, if only we had 128-bit arithmetic.
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final long u = ML * sl;
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// Note that Math.multiplyHigh computes the high half of the product of signed values,
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// but what we need is the high half of the product of unsigned values; for this we use the
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// formula "unsignedMultiplyHigh(a, b) = multiplyHigh(a, b) + ((a >> 63) & b) + ((b >> 63) & a)";
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// in effect, each operand is added to the result iff the sign bit of the other operand is 1.
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// (See Henry S. Warren, Jr., _Hacker's Delight_ (Second Edition), Addison-Wesley (2013),
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// Section 8-3, p. 175; or see the First Edition, Addison-Wesley (2003), Section 8-3, p. 133.)
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// If Math.unsignedMultiplyHigh(long, long) is ever implemented, the following line can become:
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// sh = (ML * sh) + Math.unsignedMultiplyHigh(ML, sl) + sl + ah;
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// and this entire comment can be deleted.
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sh = (ML * sh) + (Math.multiplyHigh(ML, sl) + ((ML >> 63) & sl) + ((sl >> 63) & ML)) + sl + ah;
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sh = (ML * sh) + Math.unsignedMultiplyHigh(ML, sl) + sl + ah;
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sl = u + al;
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if (Long.compareUnsigned(sl, u) < 0) ++sh; // Handle the carry propagation from low half to high half.
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@ -269,16 +269,7 @@ public final class L128X256MixRandom extends AbstractSplittableWithBrineGenerato
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// Update the LCG subgenerator
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// The LCG is, in effect, s = ((1LL << 64) + ML) * s + a, if only we had 128-bit arithmetic.
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final long u = ML * sl;
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// Note that Math.multiplyHigh computes the high half of the product of signed values,
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// but what we need is the high half of the product of unsigned values; for this we use the
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// formula "unsignedMultiplyHigh(a, b) = multiplyHigh(a, b) + ((a >> 63) & b) + ((b >> 63) & a)";
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// in effect, each operand is added to the result iff the sign bit of the other operand is 1.
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// (See Henry S. Warren, Jr., _Hacker's Delight_ (Second Edition), Addison-Wesley (2013),
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// Section 8-3, p. 175; or see the First Edition, Addison-Wesley (2003), Section 8-3, p. 133.)
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// If Math.unsignedMultiplyHigh(long, long) is ever implemented, the following line can become:
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// sh = (ML * sh) + Math.unsignedMultiplyHigh(ML, sl) + sl + ah;
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// and this entire comment can be deleted.
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sh = (ML * sh) + (Math.multiplyHigh(ML, sl) + ((ML >> 63) & sl) + ((sl >> 63) & ML)) + sl + ah;
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sh = (ML * sh) + Math.unsignedMultiplyHigh(ML, sl) + sl + ah;
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sl = u + al;
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if (Long.compareUnsigned(sl, u) < 0) ++sh; // Handle the carry propagation from low half to high half.
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@ -0,0 +1,72 @@
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/*
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* Copyright (c) 2021, Oracle and/or its affiliates. All rights reserved.
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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*
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* This code is free software; you can redistribute it and/or modify it
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* under the terms of the GNU General Public License version 2 only, as
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* published by the Free Software Foundation.
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*
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* This code is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* version 2 for more details (a copy is included in the LICENSE file that
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* accompanied this code).
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*
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* You should have received a copy of the GNU General Public License version
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* 2 along with this work; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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*
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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* or visit www.oracle.com if you need additional information or have any
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* questions.
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*/
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package org.openjdk.bench.java.util;
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import org.openjdk.jmh.annotations.Benchmark;
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import org.openjdk.jmh.annotations.BenchmarkMode;
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import org.openjdk.jmh.annotations.Mode;
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import org.openjdk.jmh.annotations.OutputTimeUnit;
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import org.openjdk.jmh.annotations.Scope;
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import org.openjdk.jmh.annotations.Setup;
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import org.openjdk.jmh.annotations.State;
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import org.openjdk.jmh.annotations.Param;
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import java.util.random.RandomGenerator;
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import java.util.random.RandomGeneratorFactory;
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import java.util.concurrent.TimeUnit;
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/**
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* Tests java.util.random.RandomGenerator's different random number generators which use Math.unsignedMultiplyHigh().
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*/
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@BenchmarkMode(Mode.AverageTime)
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@OutputTimeUnit(TimeUnit.NANOSECONDS)
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@State(Scope.Thread)
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public class RandomGeneratorNext {
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RandomGenerator randomGenerator;
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@Param({"L128X128MixRandom", "L128X256MixRandom", "L128X1024MixRandom"})
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String randomGeneratorName;
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long[] buffer;
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@Param("1024")
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int size;
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@Setup
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public void setup() {
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buffer = new long[size];
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randomGenerator = RandomGeneratorFactory.of(randomGeneratorName).create(randomGeneratorName.hashCode());
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}
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@Benchmark
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public long testNextLong() {
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return randomGenerator.nextLong();
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}
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@Benchmark
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public long[] testFillBufferWithNextLong() {
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for (int i = 0; i < size; i++) buffer[i] = randomGenerator.nextLong();
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return buffer;
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}
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}
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