jdk/test/java/lang/StrictMath/ExpTests.java
author darcy
Fri, 16 Dec 2016 21:43:29 -0800
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child 45288 58be10a068c2
permissions -rw-r--r--
8139688: Port fdlibm exp to Java Reviewed-by: bpb, nadezhin
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/*
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 * Copyright (c) 2015, 2016, 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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/*
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 * @test
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 * @bug 8139688
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 * @key randomness
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 * @library /lib/testlibrary/
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 * @build jdk.testlibrary.RandomFactory
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 * @build Tests
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 * @build FdlibmTranslit
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 * @build ExpTests
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 * @run main ExpTests
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 * @summary Tests specifically for StrictMath.exp
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 */
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import jdk.testlibrary.RandomFactory;
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/**
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 * The role of this test is to verify that the FDLIBM exp algorithm is
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 * being used by running golden file style tests on values that may
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 * vary from one conforming exponential implementation to another.
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 */
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public class ExpTests {
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    private ExpTests(){}
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    public static void main(String [] argv) {
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        int failures = 0;
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        failures += testExp();
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        failures += testAgainstTranslit();
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        if (failures > 0) {
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            System.err.println("Testing the exponential incurred "
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                               + failures + " failures.");
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            throw new RuntimeException();
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        }
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    }
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    // From the fdlibm source, the overflow threshold in hex is:
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    // 0x4086_2E42_FEFA_39EF.
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    static final double EXP_OVERFLOW_THRESH  = Double.longBitsToDouble(0x4086_2E42_FEFA_39EFL);
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    // From the fdlibm source, the underflow threshold in hex is:
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    // 0xc087_4910_D52D_3051L.
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    static final double EXP_UNDERFLOW_THRESH = Double.longBitsToDouble(0xc087_4910_D52D_3051L);
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    static int testExp() {
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        int failures = 0;
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        double [][] testCases = {
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            // Some of these could be moved to common Math/StrictMath exp testing.
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            {Double.NaN,                      Double.NaN},
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            {Double.MAX_VALUE,                Double.POSITIVE_INFINITY},
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            {Double.POSITIVE_INFINITY,        Double.POSITIVE_INFINITY},
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            {Double.NEGATIVE_INFINITY,        +0.0},
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            {EXP_OVERFLOW_THRESH,                 0x1.ffff_ffff_fff2ap1023},
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            {Math.nextUp(EXP_OVERFLOW_THRESH),    Double.POSITIVE_INFINITY},
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            {Math.nextDown(EXP_UNDERFLOW_THRESH), +0.0},
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            {EXP_UNDERFLOW_THRESH,                +Double.MIN_VALUE},
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        };
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        for(double[] testCase: testCases)
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            failures+=testExpCase(testCase[0], testCase[1]);
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        return failures;
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    }
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    static int testExpCase(double input, double expected) {
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        int failures = 0;
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        failures+=Tests.test("StrictMath.exp(double)", input,
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                             StrictMath.exp(input), expected);
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        return failures;
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    }
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    // Initialize shared random number generator
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    private static java.util.Random random = RandomFactory.getRandom();
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    /**
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     * Test StrictMath.exp against transliteration port of exp.
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     */
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    private static int testAgainstTranslit() {
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        int failures = 0;
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        double[] decisionPoints = {
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            // Near overflow threshold
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            EXP_OVERFLOW_THRESH - 512*Math.ulp(EXP_OVERFLOW_THRESH),
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            // Near underflow threshold
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            EXP_UNDERFLOW_THRESH - 512*Math.ulp(EXP_UNDERFLOW_THRESH),
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            // Straddle algorithm conditional checks
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            Double.longBitsToDouble(0x4086_2E42_0000_0000L - 512L),
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            Double.longBitsToDouble(0x3fd6_2e42_0000_0000L - 512L),
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            Double.longBitsToDouble(0x3FF0_A2B2_0000_0000L - 512L),
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            Double.longBitsToDouble(0x3e30_0000_0000_0000L - 512L),
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            // Other notable points
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            Double.MIN_NORMAL - Math.ulp(Double.MIN_NORMAL)*512,
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            -Double.MIN_VALUE*512,
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        };
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        for (double decisionPoint : decisionPoints) {
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            double ulp = Math.ulp(decisionPoint);
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            failures += testRange(decisionPoint - 1024*ulp, ulp, 1_024);
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        }
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        // Try out some random values
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        for (int i = 0; i < 100; i++) {
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            double x = Tests.createRandomDouble(random);
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            failures += testRange(x, Math.ulp(x), 100);
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        }
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        return failures;
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    }
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    private static int testRange(double start, double increment, int count) {
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        int failures = 0;
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        double x = start;
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        for (int i = 0; i < count; i++, x += increment) {
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            failures += testExpCase(x, FdlibmTranslit.Exp.compute(x));
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        }
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        return failures;
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    }
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}