jdk/test/java/lang/Math/PowTests.java
author roland
Wed, 04 May 2016 13:32:03 -0700
changeset 38235 b2cbc7dbebb6
parent 32655 8dfeae0ff332
permissions -rw-r--r--
8155717: Aarch64: enable loop superword's unrolling analysis Reviewed-by: aph, kvn, mcberg
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/*
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 * Copyright (c) 2004, 2015, 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 4984407 5033578 8134795
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 * @summary Tests for {Math, StrictMath}.pow
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 * @author Joseph D. Darcy
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 */
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public class PowTests {
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    private PowTests(){}
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    static final double infinityD = Double.POSITIVE_INFINITY;
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    static int testPowCase(double input1, double input2, double expected) {
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        int failures = 0;
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        failures += Tests.test("StrictMath.pow(double, double)", input1, input2,
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                               StrictMath.pow(input1, input2), expected);
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        failures += Tests.test("Math.pow(double, double)", input1, input2,
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                               Math.pow(input1, input2), expected);
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        return failures;
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    }
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    static int testStrictPowCase(double input1, double input2, double expected) {
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        int failures = 0;
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        failures += Tests.test("StrictMath.pow(double, double)", input1, input2,
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                               StrictMath.pow(input1, input2), expected);
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        return failures;
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    }
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    static int testNonstrictPowCase(double input1, double input2, double expected) {
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        int failures = 0;
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        failures += Tests.test("Math.pow(double, double)", input1, input2,
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                               Math.pow(input1, input2), expected);
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        return failures;
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    }
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    /*
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     * Test for bad negation implementation.
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     */
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    static int testPow() {
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        int failures = 0;
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        double [][] testCases = {
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            {-0.0,               3.0,   -0.0},
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            {-0.0,               4.0,    0.0},
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            {-infinityD,        -3.0,   -0.0},
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            {-infinityD,        -4.0,    0.0},
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        };
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        for (double[] testCase : testCases) {
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            failures+=testPowCase(testCase[0], testCase[1], testCase[2]);
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        }
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        return failures;
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    }
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    /*
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     * Test cross-product of different kinds of arguments.
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     */
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    static int testCrossProduct() {
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        int failures = 0;
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        double testData[] = {
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                                Double.NEGATIVE_INFINITY,
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/* > -oo */                     -Double.MAX_VALUE,
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/**/                            (double)Long.MIN_VALUE,
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/**/                            (double) -((1L<<53)+2L),
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                                -0x1.0p65,
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                                -0x1.0000000000001p64,
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                                -0x1.0p64,
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/**/                            (double) -((1L<<53)),
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/**/                            (double) -((1L<<53)-1L),
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/**/                            -((double)Integer.MAX_VALUE + 4.0),
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/**/                            (double)Integer.MIN_VALUE - 1.0,
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/**/                            (double)Integer.MIN_VALUE,
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/**/                            (double)Integer.MIN_VALUE + 1.0,
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                                -0x1.0p31 + 2.0,
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                                -0x1.0p31 + 1.0,
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                                -0x1.0000000000001p31,
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                                -0x1.0p31,
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/**/                            -Math.PI,
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/**/                            -3.0,
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/**/                            -Math.E,
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/**/                            -2.0,
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/**/                            -1.0000000000000004,
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/* < -1.0 */                    -1.0000000000000002, // nextAfter(-1.0, -oo)
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                                -1.0,
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/* > -1.0 */                    -0.9999999999999999, // nextAfter(-1.0, +oo)
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/* > -1.0 */                    -0.9999999999999998,
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                                -0x1.fffffp-1,
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                                -0x1.ffffeffffffffp-1,
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/**/                            -0.5,
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/**/                            -1.0/3.0,
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/* < 0.0 */                     -Double.MIN_VALUE,
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                                -0.0,
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                                +0.0,
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/* > 0.0 */                     +Double.MIN_VALUE,
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/**/                            +1.0/3.0,
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/**/                            +0.5,
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                                +0x1.ffffeffffffffp-1,
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                                +0x1.fffffp-1,
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/**/                            +0.9999999999999998,
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/* < +1.0 */                    +0.9999999999999999, // nextAfter(-1.0, +oo)
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                                +1.0,
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/* > 1.0 */                     +1.0000000000000002, // nextAfter(+1.0, +oo)
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/**/                            +1.0000000000000004,
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/**/                            +2.0,
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/**/                            +Math.E,
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/**/                            +3.0,
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/**/                            +Math.PI,
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                                0x1.0p31,
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                                0x1.0000000000001p31,
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                                0x1.0p31 + 1.0,
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                                0x1.0p31 + 2.0,
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/**/                            -(double)Integer.MIN_VALUE - 1.0,
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/**/                            -(double)Integer.MIN_VALUE,
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/**/                            -(double)Integer.MIN_VALUE + 1.0,
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/**/                            (double)Integer.MAX_VALUE + 4.0,
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/**/                            (double) ((1L<<53)-1L),
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/**/                            (double) ((1L<<53)),
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/**/                            (double) ((1L<<53)+2L),
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                                0x1.0p64,
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                                0x1.0000000000001p64,
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                                0x1.0p65,
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/**/                            -(double)Long.MIN_VALUE,
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/* < oo */                      Double.MAX_VALUE,
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                                Double.POSITIVE_INFINITY,
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                                Double.NaN
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    };
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        double NaN = Double.NaN;
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        for(double x: testData) {
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            for(double y: testData) {
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                boolean testPass = false;
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                double expected=NaN;
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                double actual;
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                // First, switch on y
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                if( Double.isNaN(y)) {
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                    expected = NaN;
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                } else if (y == 0.0) {
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                    expected = 1.0;
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                } else if (Double.isInfinite(y) ) {
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                    if(y > 0) { // x ^ (+oo)
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                        if (Math.abs(x) > 1.0) {
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                            expected = Double.POSITIVE_INFINITY;
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                        } else if (Math.abs(x) == 1.0) {
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                            expected = NaN;
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                        } else if (Math.abs(x) < 1.0) {
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                            expected = +0.0;
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                        } else { // x is NaN
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                            assert Double.isNaN(x);
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                            expected = NaN;
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                        }
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                    } else { // x ^ (-oo)
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                        if (Math.abs(x) > 1.0) {
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                            expected = +0.0;
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                        } else if (Math.abs(x) == 1.0) {
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                            expected = NaN;
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                        } else if (Math.abs(x) < 1.0) {
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                            expected = Double.POSITIVE_INFINITY;
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                        } else { // x is NaN
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                            assert Double.isNaN(x);
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                            expected = NaN;
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                        }
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                    } /* end Double.isInfinite(y) */
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                } else if (y == 1.0) {
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                    expected = x;
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                } else if (Double.isNaN(x)) { // Now start switching on x
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                    assert y != 0.0;
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                    expected = NaN;
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                } else if (x == Double.NEGATIVE_INFINITY) {
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                    expected = (y < 0.0) ? f2(y) :f1(y);
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                } else if (x == Double.POSITIVE_INFINITY) {
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                    expected = (y < 0.0) ? +0.0 : Double.POSITIVE_INFINITY;
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                } else if (equivalent(x, +0.0)) {
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                    assert y != 0.0;
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                    expected = (y < 0.0) ? Double.POSITIVE_INFINITY: +0.0;
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                } else if (equivalent(x, -0.0)) {
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                    assert y != 0.0;
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                    expected = (y < 0.0) ? f1(y): f2(y);
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                } else if( x < 0.0) {
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                    assert y != 0.0;
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                    failures += testStrictPowCase(x, y, f3(x, y));
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                    failures += testNonstrictPowCase(x, y, f3ns(x, y));
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                    continue;
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                } else {
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                    // go to next iteration
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                    expected = NaN;
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                    continue;
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                }
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                failures += testPowCase(x, y, expected);
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            } // y
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        } // x
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        return failures;
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    }
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    static boolean equivalent(double a, double b) {
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        return Double.compare(a, b) == 0;
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    }
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    static double f1(double y) {
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        return (intClassify(y) == 1)?
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            Double.NEGATIVE_INFINITY:
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            Double.POSITIVE_INFINITY;
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    }
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    static double f2(double y) {
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        return (intClassify(y) == 1)?-0.0:0.0;
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    }
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    static double f3(double x, double y) {
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        switch( intClassify(y) ) {
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        case 0:
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            return StrictMath.pow(Math.abs(x), y);
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            // break;
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        case 1:
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            return -StrictMath.pow(Math.abs(x), y);
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            // break;
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        case -1:
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            return Double.NaN;
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            // break;
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        default:
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            throw new AssertionError("Bad classification.");
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            // break;
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        }
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    }
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    static double f3ns(double x, double y) {
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        switch( intClassify(y) ) {
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        case 0:
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            return Math.pow(Math.abs(x), y);
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            // break;
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        case 1:
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            return -Math.pow(Math.abs(x), y);
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            // break;
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        case -1:
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            return Double.NaN;
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            // break;
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        default:
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            throw new AssertionError("Bad classification.");
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            // break;
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        }
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    }
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    static boolean isFinite(double a) {
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        return (0.0 * a  == 0);
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    }
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    /**
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     * Return classification of argument: -1 for non-integers, 0 for
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     * even integers, 1 for odd integers.
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     */
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    static int intClassify(double a) {
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        if(!isFinite(a) || // NaNs and infinities
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           (a != Math.floor(a) )) { // only integers are fixed-points of floor
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                return -1;
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        }
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        else {
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            // Determine if argument is an odd or even integer.
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            a = StrictMath.abs(a); // absolute value doesn't affect odd/even
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            if(a+1.0 == a) { // a > maximum odd floating-point integer
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                return 0; // Large integers are all even
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            }
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            else { // Convert double -> long and look at low-order bit
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                long ell = (long)  a;
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                return ((ell & 0x1L) == (long)1)?1:0;
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            }
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        }
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    }
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    public static void main(String [] argv) {
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        int failures = 0;
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        failures += testPow();
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        failures += testCrossProduct();
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        if (failures > 0) {
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            System.err.println("Testing pow 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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}