/* * Copyright (c) 2015, 2017, Oracle and/or its affiliates. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. * * This code is distributed in the hope that it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. * * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA * or visit www.oracle.com if you need additional information or have any * questions. */ /* * @test * @bug 8139688 * @key randomness * @library /test/lib * @build jdk.test.lib.RandomFactory * @build Tests * @build FdlibmTranslit * @build ExpTests * @run main ExpTests * @summary Tests specifically for StrictMath.exp */ package test.java.lang.StrictMath; import java.util.Random; import org.testng.annotations.Test; /** * The role of this test is to verify that the FDLIBM exp algorithm is being used by running golden * file style tests on values that may vary from one conforming exponential implementation to * another. */ public class ExpTests { private ExpTests() { } // From the fdlibm source, the overflow threshold in hex is: // 0x4086_2E42_FEFA_39EF. static final double EXP_OVERFLOW_THRESH = Double.longBitsToDouble(0x4086_2E42_FEFA_39EFL); // From the fdlibm source, the underflow threshold in hex is: // 0xc087_4910_D52D_3051L. static final double EXP_UNDERFLOW_THRESH = Double.longBitsToDouble(0xc087_4910_D52D_3051L); @Test public void testExp() { double[][] testCases = { // Some of these could be moved to common Math/StrictMath exp testing. {Double.NaN, Double.NaN}, {Double.MAX_VALUE, Double.POSITIVE_INFINITY}, {Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY}, {Double.NEGATIVE_INFINITY, +0.0}, {EXP_OVERFLOW_THRESH, 0x1.ffff_ffff_fff2ap1023}, {Math.nextUp(EXP_OVERFLOW_THRESH), Double.POSITIVE_INFINITY}, {Math.nextDown(EXP_UNDERFLOW_THRESH), +0.0}, {EXP_UNDERFLOW_THRESH, +Double.MIN_VALUE}, }; for (double[] testCase : testCases) { testExpCase(testCase[0], testCase[1]); } } static void testExpCase(double input, double expected) { Tests.test("StrictMath.exp(double)", input, StrictMath.exp(input), expected); } // Initialize shared random number generator private static final java.util.Random random = new Random(); /** * Test StrictMath.exp against transliteration port of exp. */ @Test public void testAgainstTranslit() { double[] decisionPoints = { // Near overflow threshold EXP_OVERFLOW_THRESH - 512 * Math.ulp(EXP_OVERFLOW_THRESH), // Near underflow threshold EXP_UNDERFLOW_THRESH - 512 * Math.ulp(EXP_UNDERFLOW_THRESH), // Straddle algorithm conditional checks Double.longBitsToDouble(0x4086_2E42_0000_0000L - 512L), Double.longBitsToDouble(0x3fd6_2e42_0000_0000L - 512L), Double.longBitsToDouble(0x3FF0_A2B2_0000_0000L - 512L), Double.longBitsToDouble(0x3e30_0000_0000_0000L - 512L), // Other notable points Double.MIN_NORMAL - Math.ulp(Double.MIN_NORMAL) * 512, -Double.MIN_VALUE * 512, }; for (double decisionPoint : decisionPoints) { double ulp = Math.ulp(decisionPoint); testRange(decisionPoint - 1024 * ulp, ulp, 1_024); } // Try out some random values for (int i = 0; i < 100; i++) { double x = Tests.createRandomDouble(random); testRange(x, Math.ulp(x), 100); } } private static void testRange(double start, double increment, int count) { double x = start; for (int i = 0; i < count; i++, x += increment) { testExpCase(x, FdlibmTranslit.Exp.compute(x)); } } }