/* * Copyright (c) 2015, 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. Oracle designates this * particular file as subject to the "Classpath" exception as provided * by Oracle in the LICENSE file that accompanied this code. * * 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. */ // This file is available under and governed by the GNU General Public // License version 2 only, as published by the Free Software Foundation. // However, the following notice accompanied the original version of this // file: // // Copyright 2006-2008 the V8 project authors. All rights reserved. package jdk.nashorn.internal.runtime.doubleconv.test; import org.testng.annotations.Test; import java.lang.reflect.Constructor; import java.lang.reflect.Method; import static org.testng.Assert.assertEquals; import static org.testng.Assert.assertTrue; /** * Ieee class tests * * @test * @run testng jdk.nashorn.internal.runtime.doubleconv.test.IeeeTest */ @SuppressWarnings({"unchecked", "javadoc"}) public class IeeeDoubleTest { static final Method asDiyFp; static final Method asNormalizedDiyFp; static final Method doubleToLong; static final Method longToDouble; static final Method isDenormal; static final Method isSpecial; static final Method isInfinite; static final Method isNaN; static final Method value; static final Method sign; static final Method nextDouble; static final Method previousDouble; static final Method normalizedBoundaries; static final Method Infinity; static final Method NaN; static final Method f; static final Method e; static final Constructor DiyFpCtor; static { try { final Class IeeeDouble = Class.forName("jdk.nashorn.internal.runtime.doubleconv.IeeeDouble"); final Class DiyFp = Class.forName("jdk.nashorn.internal.runtime.doubleconv.DiyFp"); asDiyFp = method(IeeeDouble, "asDiyFp", long.class); asNormalizedDiyFp = method(IeeeDouble, "asNormalizedDiyFp", long.class); doubleToLong = method(IeeeDouble, "doubleToLong", double.class); longToDouble = method(IeeeDouble, "longToDouble", long.class); isDenormal = method(IeeeDouble, "isDenormal", long.class); isSpecial = method(IeeeDouble, "isSpecial", long.class); isInfinite = method(IeeeDouble, "isInfinite", long.class); isNaN = method(IeeeDouble, "isNaN", long.class); value = method(IeeeDouble, "value", long.class); sign = method(IeeeDouble, "sign", long.class); nextDouble = method(IeeeDouble, "nextDouble", long.class); previousDouble = method(IeeeDouble, "previousDouble", long.class); Infinity = method(IeeeDouble, "Infinity"); NaN = method(IeeeDouble, "NaN"); normalizedBoundaries = method(IeeeDouble, "normalizedBoundaries", long.class, DiyFp, DiyFp); DiyFpCtor = DiyFp.getDeclaredConstructor(); DiyFpCtor.setAccessible(true); f = method(DiyFp, "f"); e = method(DiyFp, "e"); } catch (final Exception e) { throw new RuntimeException(e); } } private static Method method(final Class clazz, final String name, final Class... params) throws NoSuchMethodException { final Method m = clazz.getDeclaredMethod(name, params); m.setAccessible(true); return m; } @Test public void testUint64Conversions() throws Exception { // Start by checking the byte-order. final long ordered = 0x0123456789ABCDEFL; assertEquals(3512700564088504e-318, value.invoke(null, ordered)); final long min_double64 = 0x0000000000000001L; assertEquals(5e-324, value.invoke(null, min_double64)); final long max_double64 = 0x7fefffffffffffffL; assertEquals(1.7976931348623157e308, value.invoke(null, max_double64)); } @Test public void testDoubleAsDiyFp() throws Exception { final long ordered = 0x0123456789ABCDEFL; Object diy_fp = asDiyFp.invoke(null, ordered); assertEquals(0x12 - 0x3FF - 52, e.invoke(diy_fp)); // The 52 mantissa bits, plus the implicit 1 in bit 52 as a UINT64. assertTrue(0x0013456789ABCDEFL == (long) f.invoke(diy_fp)); final long min_double64 = 0x0000000000000001L; diy_fp = asDiyFp.invoke(null, min_double64); assertEquals(-0x3FF - 52 + 1, e.invoke(diy_fp)); // This is a denormal; so no hidden bit. assertTrue(1L == (long) f.invoke(diy_fp)); final long max_double64 = 0x7fefffffffffffffL; diy_fp = asDiyFp.invoke(null, max_double64); assertEquals(0x7FE - 0x3FF - 52, e.invoke(diy_fp)); assertTrue(0x001fffffffffffffL == (long) f.invoke(diy_fp)); } @Test public void testAsNormalizedDiyFp() throws Exception { final long ordered = 0x0123456789ABCDEFL; Object diy_fp = asNormalizedDiyFp.invoke(null, ordered); assertEquals(0x12 - 0x3FF - 52 - 11, (int) e.invoke(diy_fp)); assertTrue((0x0013456789ABCDEFL << 11) == (long) f.invoke(diy_fp)); final long min_double64 = 0x0000000000000001L; diy_fp = asNormalizedDiyFp.invoke(null, min_double64); assertEquals(-0x3FF - 52 + 1 - 63, e.invoke(diy_fp)); // This is a denormal; so no hidden bit. assertTrue(0x8000000000000000L == (long) f.invoke(diy_fp)); final long max_double64 = 0x7fefffffffffffffL; diy_fp = asNormalizedDiyFp.invoke(null, max_double64); assertEquals(0x7FE - 0x3FF - 52 - 11, e.invoke(diy_fp)); assertTrue((0x001fffffffffffffL << 11) == (long) f.invoke(diy_fp)); } @Test public void testIsDenormal() throws Exception { final long min_double64 = 0x0000000000000001L; assertTrue((boolean) isDenormal.invoke(null, min_double64)); long bits = 0x000FFFFFFFFFFFFFL; assertTrue((boolean) isDenormal.invoke(null, bits)); bits = 0x0010000000000000L; assertTrue(!(boolean) isDenormal.invoke(null, bits)); } @Test public void testIsSpecial() throws Exception { assertTrue((boolean) isSpecial.invoke(null, doubleToLong.invoke(null, Infinity.invoke(null)))); assertTrue((boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -(double) Infinity.invoke(null)))); assertTrue((boolean) isSpecial.invoke(null, doubleToLong.invoke(null, NaN.invoke(null)))); final long bits = 0xFFF1234500000000L; assertTrue((boolean) isSpecial.invoke(null, bits)); // Denormals are not special: assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, 5e-324))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -5e-324))); // And some random numbers: assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, 0.0))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -0.0))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, 1.0))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -1.0))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, 1000000.0))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -1000000.0))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, 1e23))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -1e23))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, 1.7976931348623157e308))); assertTrue(!(boolean) isSpecial.invoke(null, doubleToLong.invoke(null, -1.7976931348623157e308))); } @Test public void testIsInfinite() throws Exception { assertTrue((boolean) isInfinite.invoke(null, doubleToLong.invoke(null, Infinity.invoke(null)))); assertTrue((boolean) isInfinite.invoke(null, doubleToLong.invoke(null, -(double) Infinity.invoke(null)))); assertTrue(!(boolean) isInfinite.invoke(null, doubleToLong.invoke(null, NaN.invoke(null)))); assertTrue(!(boolean) isInfinite.invoke(null, doubleToLong.invoke(null, 0.0))); assertTrue(!(boolean) isInfinite.invoke(null, doubleToLong.invoke(null, -0.0))); assertTrue(!(boolean) isInfinite.invoke(null, doubleToLong.invoke(null, 1.0))); assertTrue(!(boolean) isInfinite.invoke(null, doubleToLong.invoke(null, -1.0))); final long min_double64 = 0x0000000000000001L; assertTrue(!(boolean) isInfinite.invoke(null, min_double64)); } @Test public void testIsNan() throws Exception { assertTrue((boolean) isNaN.invoke(null, doubleToLong.invoke(null, NaN.invoke(null)))); final long other_nan = 0xFFFFFFFF00000001L; assertTrue((boolean) isNaN.invoke(null, other_nan)); assertTrue(!(boolean) isNaN.invoke(null, doubleToLong.invoke(null, Infinity.invoke(null)))); assertTrue(!(boolean) isNaN.invoke(null, doubleToLong.invoke(null, -(double) Infinity.invoke(null)))); assertTrue(!(boolean) isNaN.invoke(null, doubleToLong.invoke(null, 0.0))); assertTrue(!(boolean) isNaN.invoke(null, doubleToLong.invoke(null, -0.0))); assertTrue(!(boolean) isNaN.invoke(null, doubleToLong.invoke(null, 1.0))); assertTrue(!(boolean) isNaN.invoke(null, doubleToLong.invoke(null, -1.0))); final long min_double64 = 0x0000000000000001L; assertTrue(!(boolean) isNaN.invoke(null, min_double64)); } @Test public void testSign() throws Exception { assertEquals(1, (int) sign.invoke(null, doubleToLong.invoke(null, 1.0))); assertEquals(1, (int) sign.invoke(null, doubleToLong.invoke(null, Infinity.invoke(null)))); assertEquals(-1, (int) sign.invoke(null, doubleToLong.invoke(null, -(double) Infinity.invoke(null)))); assertEquals(1, (int) sign.invoke(null, doubleToLong.invoke(null, 0.0))); assertEquals(-1, (int) sign.invoke(null, doubleToLong.invoke(null, -0.0))); final long min_double64 = 0x0000000000000001L; assertEquals(1, (int) sign.invoke(null, min_double64)); } @Test public void testNormalizedBoundaries() throws Exception { Object boundary_plus = DiyFpCtor.newInstance(); Object boundary_minus = DiyFpCtor.newInstance(); Object diy_fp = asNormalizedDiyFp.invoke(null, doubleToLong.invoke(null, 1.5)); normalizedBoundaries.invoke(null, doubleToLong.invoke(null, 1.5), boundary_minus, boundary_plus); assertEquals(e.invoke(diy_fp), e.invoke(boundary_minus)); assertEquals(e.invoke(diy_fp), e.invoke(boundary_plus)); // 1.5 does not have a significand of the form 2^p (for some p). // Therefore its boundaries are at the same distance. assertTrue((long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus) == (long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp)); assertTrue((1 << 10) == (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); diy_fp =asNormalizedDiyFp.invoke(null, doubleToLong.invoke(null, 1.0)); normalizedBoundaries.invoke(null, doubleToLong.invoke(null, 1.0), boundary_minus, boundary_plus); assertEquals(e.invoke(diy_fp), e.invoke(boundary_minus)); assertEquals(e.invoke(diy_fp), e.invoke(boundary_plus)); // 1.0 does have a significand of the form 2^p (for some p). // Therefore its lower boundary is twice as close as the upper boundary. assertTrue((long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp) > (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); assertTrue((1L << 9) == (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); assertTrue((1L << 10) == (long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp)); final long min_double64 = 0x0000000000000001L; diy_fp = asNormalizedDiyFp.invoke(null, min_double64); normalizedBoundaries.invoke(null, min_double64, boundary_minus, boundary_plus); assertEquals(e.invoke(diy_fp), e.invoke(boundary_minus)); assertEquals(e.invoke(diy_fp), e.invoke(boundary_plus)); // min-value does not have a significand of the form 2^p (for some p). // Therefore its boundaries are at the same distance. assertTrue((long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus) == (long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp)); // Denormals have their boundaries much closer. assertTrue(1L << 62 == (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); final long smallest_normal64 = 0x0010000000000000L; diy_fp = asNormalizedDiyFp.invoke(null, smallest_normal64); normalizedBoundaries.invoke(null, smallest_normal64, boundary_minus, boundary_plus); assertEquals(e.invoke(diy_fp), e.invoke(boundary_minus)); assertEquals(e.invoke(diy_fp), e.invoke(boundary_plus)); // Even though the significand is of the form 2^p (for some p), its boundaries // are at the same distance. (This is the only exception). assertTrue((long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus) == (long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp)); assertTrue(1L << 10 == (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); final long largest_denormal64 = 0x000FFFFFFFFFFFFFL; diy_fp = asNormalizedDiyFp.invoke(null, largest_denormal64); normalizedBoundaries.invoke(null, largest_denormal64, boundary_minus, boundary_plus); assertEquals(e.invoke(diy_fp), e.invoke(boundary_minus)); assertEquals(e.invoke(diy_fp), e.invoke(boundary_plus)); assertTrue((long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus) == (long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp)); assertTrue(1L << 11 == (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); final long max_double64 = 0x7fefffffffffffffL; diy_fp = asNormalizedDiyFp.invoke(null, max_double64); normalizedBoundaries.invoke(null, max_double64, boundary_minus, boundary_plus); assertEquals(e.invoke(diy_fp), e.invoke(boundary_minus)); assertEquals(e.invoke(diy_fp), e.invoke(boundary_plus)); // max-value does not have a significand of the form 2^p (for some p). // Therefore its boundaries are at the same distance. assertTrue((long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus) == (long) f.invoke(boundary_plus) - (long) f.invoke(diy_fp)); assertTrue(1L << 10 == (long) f.invoke(diy_fp) - (long) f.invoke(boundary_minus)); } @Test public void testNextDouble() throws Exception { assertEquals(4e-324, (double) nextDouble.invoke(null, doubleToLong.invoke(null, 0.0))); assertEquals(0.0, (double) nextDouble.invoke(null, doubleToLong.invoke(null, -0.0))); assertEquals(-0.0, (double) nextDouble.invoke(null, doubleToLong.invoke(null, -4e-324))); assertTrue((int) sign.invoke(null, doubleToLong.invoke(null, nextDouble.invoke(null, doubleToLong.invoke(null, -0.0)))) > 0); assertTrue((int) sign.invoke(null, doubleToLong.invoke(null, nextDouble.invoke(null, doubleToLong.invoke(null, -4e-324)))) < 0); final long d0 = (long) doubleToLong.invoke(null, -4e-324); final long d1 = (long) doubleToLong.invoke(null, nextDouble.invoke(null, d0)); final long d2 = (long) doubleToLong.invoke(null, nextDouble.invoke(null, d1)); assertEquals(-0.0, value.invoke(null, d1)); assertTrue((int) sign.invoke(null, d1) < 0); assertEquals(0.0, value.invoke(null, d2)); assertTrue((int) sign.invoke(null, d2) > 0); assertEquals(4e-324, (double) nextDouble.invoke(null, d2)); assertEquals(-1.7976931348623157e308, (double) nextDouble.invoke(null, doubleToLong.invoke(null, -(double) Infinity.invoke(null)))); assertEquals(Infinity.invoke(null), (double) nextDouble.invoke(null, 0x7fefffffffffffffL)); } @Test public void testPreviousDouble() throws Exception { assertEquals(0.0, (double) previousDouble.invoke(null, doubleToLong.invoke(null, 4e-324))); assertEquals(-0.0, (double) previousDouble.invoke(null, doubleToLong.invoke(null, 0.0))); assertTrue((int) sign.invoke(null, doubleToLong.invoke(null, previousDouble.invoke(null, doubleToLong.invoke(null, 0.0)))) < 0); assertEquals(-4e-324, previousDouble.invoke(null, doubleToLong.invoke(null, -0.0))); final long d0 = (long) doubleToLong.invoke(null, 4e-324); final long d1 = (long) doubleToLong.invoke(null, previousDouble.invoke(null, d0)); final long d2 = (long) doubleToLong.invoke(null, previousDouble.invoke(null, d1)); assertEquals(0.0, value.invoke(null, d1)); assertTrue((int) sign.invoke(null, d1) > 0); assertEquals(-0.0, value.invoke(null, d2)); assertTrue((int) sign.invoke(null, d2) < 0); assertEquals(-4e-324, (double) previousDouble.invoke(null, d2)); assertEquals(1.7976931348623157e308, (double) previousDouble.invoke(null, doubleToLong.invoke(null, Infinity.invoke(null)))); assertEquals(-(double) Infinity.invoke(null), (double) previousDouble.invoke(null, 0xffefffffffffffffL)); } }