author | hseigel |
Wed, 01 Mar 2017 08:00:02 -0500 | |
changeset 46194 | 5596e6f63072 |
parent 43455 | 96560cffef4d |
permissions | -rw-r--r-- |
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/* |
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* Copyright (c) 2000, 2016, Oracle and/or its affiliates. All rights reserved. |
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* Copyright (c) 2015, Red Hat Inc. 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 8130150 8131779 8139907 |
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* @summary Verify that the Montgomery multiply and square intrinsic works and correctly checks their arguments. |
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* @requires vm.flavor == "server" & !vm.emulatedClient |
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* @modules java.base/jdk.internal.misc:open |
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* @modules java.base/java.math:open |
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* @library /test/lib / |
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* |
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* @build sun.hotspot.WhiteBox |
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* @run driver ClassFileInstaller sun.hotspot.WhiteBox |
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* sun.hotspot.WhiteBox$WhiteBoxPermission |
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* @run main/othervm -Xbootclasspath/a:. -XX:+UnlockDiagnosticVMOptions -XX:+WhiteBoxAPI |
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* compiler.intrinsics.bigInteger.MontgomeryMultiplyTest |
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*/ |
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package compiler.intrinsics.bigInteger; |
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import jdk.test.lib.Platform; |
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import sun.hotspot.WhiteBox; |
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import compiler.whitebox.CompilerWhiteBoxTest; |
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import java.lang.invoke.MethodHandle; |
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import java.lang.invoke.MethodHandles; |
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import java.lang.reflect.Constructor; |
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import java.lang.reflect.Executable; |
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import java.lang.reflect.Field; |
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import java.lang.reflect.Method; |
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import java.math.BigInteger; |
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import java.util.Arrays; |
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import java.util.Random; |
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public class MontgomeryMultiplyTest { |
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private static final WhiteBox wb = WhiteBox.getWhiteBox(); |
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static final MethodHandles.Lookup lookup = MethodHandles.lookup(); |
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static final MethodHandle montgomeryMultiplyHandle, montgomerySquareHandle; |
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static final MethodHandle bigIntegerConstructorHandle; |
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static final Field bigIntegerMagField; |
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static { |
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// Use reflection to gain access to the methods we want to test. |
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try { |
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Method m = BigInteger.class.getDeclaredMethod("montgomeryMultiply", |
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/*a*/int[].class, /*b*/int[].class, /*n*/int[].class, /*len*/int.class, |
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/*inv*/long.class, /*product*/int[].class); |
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m.setAccessible(true); |
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montgomeryMultiplyHandle = lookup.unreflect(m); |
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m = BigInteger.class.getDeclaredMethod("montgomerySquare", |
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/*a*/int[].class, /*n*/int[].class, /*len*/int.class, |
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/*inv*/long.class, /*product*/int[].class); |
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m.setAccessible(true); |
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montgomerySquareHandle = lookup.unreflect(m); |
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Constructor c |
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= BigInteger.class.getDeclaredConstructor(int.class, int[].class); |
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c.setAccessible(true); |
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bigIntegerConstructorHandle = lookup.unreflectConstructor(c); |
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bigIntegerMagField = BigInteger.class.getDeclaredField("mag"); |
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bigIntegerMagField.setAccessible(true); |
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} catch (Throwable ex) { |
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throw new RuntimeException(ex); |
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} |
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} |
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/* Obtain executable for the intrinsics tested. Depending on the |
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* value of 'isMultiply', the executable corresponding to either |
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* implMontgomerMultiply or implMontgomerySqure is returned. */ |
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static Executable getExecutable(boolean isMultiply) throws RuntimeException { |
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try { |
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Class aClass = Class.forName("java.math.BigInteger"); |
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Method aMethod; |
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if (isMultiply) { |
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aMethod = aClass.getDeclaredMethod("implMontgomeryMultiply", |
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int[].class, |
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int[].class, |
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int[].class, |
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int.class, |
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long.class, |
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int[].class); |
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} else { |
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aMethod = aClass.getDeclaredMethod("implMontgomerySquare", |
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int[].class, |
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int[].class, |
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int.class, |
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long.class, |
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int[].class); |
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} |
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return aMethod; |
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} catch (NoSuchMethodException e) { |
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throw new RuntimeException("Test bug, method is unavailable. " + e); |
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} catch (ClassNotFoundException e) { |
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throw new RuntimeException("Test bug, class is unavailable. " + e); |
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} |
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} |
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// Invoke either BigInteger.montgomeryMultiply or BigInteger.montgomerySquare. |
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int[] montgomeryMultiply(int[] a, int[] b, int[] n, int len, long inv, |
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int[] product) throws Throwable { |
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int[] result = |
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(a == b) ? (int[]) montgomerySquareHandle.invokeExact(a, n, len, inv, product) |
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: (int[]) montgomeryMultiplyHandle.invokeExact(a, b, n, len, inv, product); |
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return Arrays.copyOf(result, len); |
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} |
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// Invoke the private constructor BigInteger(int[]). |
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BigInteger newBigInteger(int[] val) throws Throwable { |
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return (BigInteger) bigIntegerConstructorHandle.invokeExact(1, val); |
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} |
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// Get the private field BigInteger.mag |
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int[] mag(BigInteger n) { |
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try { |
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return (int[]) bigIntegerMagField.get(n); |
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} catch (Exception ex) { |
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throw new RuntimeException(ex); |
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} |
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} |
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// Montgomery multiplication |
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// Calculate a * b * r^-1 mod n) |
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// |
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// R is a power of the word size |
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// N' = R^-1 mod N |
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// |
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// T := ab |
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// m := (T mod R)N' mod R [so 0 <= m < R] |
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// t := (T + mN)/R |
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// if t >= N then return t - N else return t |
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// |
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BigInteger montgomeryMultiply(BigInteger a, BigInteger b, BigInteger N, |
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int len, BigInteger n_prime) |
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throws Throwable { |
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BigInteger T = a.multiply(b); |
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BigInteger R = BigInteger.ONE.shiftLeft(len*32); |
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BigInteger mask = R.subtract(BigInteger.ONE); |
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BigInteger m = (T.and(mask)).multiply(n_prime); |
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m = m.and(mask); // i.e. m.mod(R) |
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T = T.add(m.multiply(N)); |
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T = T.shiftRight(len*32); // i.e. T.divide(R) |
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if (T.compareTo(N) > 0) { |
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T = T.subtract(N); |
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} |
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return T; |
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} |
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// Call the Montgomery multiply intrinsic. |
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BigInteger montgomeryMultiply(int[] a_words, int[] b_words, int[] n_words, |
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int len, BigInteger inv) |
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throws Throwable { |
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BigInteger t = montgomeryMultiply( |
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newBigInteger(a_words), |
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newBigInteger(b_words), |
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newBigInteger(n_words), |
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len, inv); |
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return t; |
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} |
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// Check that the Montgomery multiply intrinsic returns the same |
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// result as the longhand calculation. |
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void check(int[] a_words, int[] b_words, int[] n_words, int len, BigInteger inv) |
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throws Throwable { |
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BigInteger n = newBigInteger(n_words); |
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BigInteger slow = montgomeryMultiply(a_words, b_words, n_words, len, inv); |
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BigInteger fast |
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= newBigInteger(montgomeryMultiply |
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(a_words, b_words, n_words, len, inv.longValue(), null)); |
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// The intrinsic may not return the same value as the longhand |
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// calculation but they must have the same residue mod N. |
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if (!slow.mod(n).equals(fast.mod(n))) { |
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throw new RuntimeException(); |
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} |
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} |
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Random rnd = new Random(0); |
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// Return a random value of length <= bits in an array of even length |
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int[] random_val(int bits) { |
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int len = (bits+63)/64; // i.e. length in longs |
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int[] val = new int[len*2]; |
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for (int i = 0; i < val.length; i++) |
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val[i] = rnd.nextInt(); |
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int leadingZeros = 64 - (bits & 64); |
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if (leadingZeros >= 32) { |
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val[0] = 0; |
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val[1] &= ~(-1l << (leadingZeros & 31)); |
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} else { |
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val[0] &= ~(-1l << leadingZeros); |
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} |
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return val; |
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} |
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void testOneLength(int lenInBits, int lenInInts) throws Throwable { |
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BigInteger mod = new BigInteger(lenInBits, 2, rnd); |
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BigInteger r = BigInteger.ONE.shiftLeft(lenInInts * 32); |
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BigInteger n_prime = mod.modInverse(r).negate(); |
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// Make n.length even, padding with a zero if necessary |
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int[] n = mag(mod); |
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if (n.length < lenInInts) { |
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int[] x = new int[lenInInts]; |
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System.arraycopy(n, 0, x, lenInInts-n.length, n.length); |
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n = x; |
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} |
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for (int i = 0; i < 10000; i++) { |
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// multiply |
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check(random_val(lenInBits), random_val(lenInBits), n, lenInInts, n_prime); |
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// square |
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int[] tmp = random_val(lenInBits); |
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check(tmp, tmp, n, lenInInts, n_prime); |
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} |
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} |
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// Test the Montgomery multiply intrinsic with a bunch of random |
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// values of varying lengths. Do this for long enough that the |
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// caller of the intrinsic is C2-compiled. |
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void testResultValues() throws Throwable { |
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// Test a couple of interesting edge cases. |
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testOneLength(1024, 32); |
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testOneLength(1025, 34); |
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251 |
for (int j = 10; j > 0; j--) { |
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252 |
// Construct a random prime whose length in words is even |
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253 |
int lenInBits = rnd.nextInt(2048) + 64; |
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int lenInInts = (lenInBits + 63)/64*2; |
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testOneLength(lenInBits, lenInInts); |
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} |
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257 |
} |
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258 |
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259 |
// Range checks |
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260 |
void testOneMontgomeryMultiplyCheck(int[] a, int[] b, int[] n, int len, long inv, |
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261 |
int[] product, Class klass) { |
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262 |
try { |
|
263 |
montgomeryMultiply(a, b, n, len, inv, product); |
|
264 |
} catch (Throwable ex) { |
|
265 |
if (klass.isAssignableFrom(ex.getClass())) |
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266 |
return; |
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throw new RuntimeException(klass + " expected, " + ex + " was thrown"); |
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268 |
} |
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269 |
throw new RuntimeException(klass + " expected, was not thrown"); |
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270 |
} |
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271 |
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272 |
void testOneMontgomeryMultiplyCheck(int[] a, int[] b, BigInteger n, int len, BigInteger inv, |
|
273 |
Class klass) { |
|
274 |
testOneMontgomeryMultiplyCheck(a, b, mag(n), len, inv.longValue(), null, klass); |
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275 |
} |
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276 |
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277 |
void testOneMontgomeryMultiplyCheck(int[] a, int[] b, BigInteger n, int len, BigInteger inv, |
|
278 |
int[] product, Class klass) { |
|
279 |
testOneMontgomeryMultiplyCheck(a, b, mag(n), len, inv.longValue(), product, klass); |
|
280 |
} |
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281 |
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282 |
void testMontgomeryMultiplyChecks() { |
|
283 |
int[] blah = random_val(40); |
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284 |
int[] small = random_val(39); |
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285 |
BigInteger mod = new BigInteger(40*32 , 2, rnd); |
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286 |
BigInteger r = BigInteger.ONE.shiftLeft(40*32); |
|
287 |
BigInteger n_prime = mod.modInverse(r).negate(); |
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288 |
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289 |
// Length out of range: square |
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290 |
testOneMontgomeryMultiplyCheck(blah, blah, mod, 41, n_prime, IllegalArgumentException.class); |
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291 |
testOneMontgomeryMultiplyCheck(blah, blah, mod, 0, n_prime, IllegalArgumentException.class); |
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292 |
testOneMontgomeryMultiplyCheck(blah, blah, mod, -1, n_prime, IllegalArgumentException.class); |
|
293 |
// As above, but for multiply |
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294 |
testOneMontgomeryMultiplyCheck(blah, blah.clone(), mod, 41, n_prime, IllegalArgumentException.class); |
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295 |
testOneMontgomeryMultiplyCheck(blah, blah.clone(), mod, 0, n_prime, IllegalArgumentException.class); |
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296 |
testOneMontgomeryMultiplyCheck(blah, blah.clone(), mod, 0, n_prime, IllegalArgumentException.class); |
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297 |
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298 |
// Length odd |
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299 |
testOneMontgomeryMultiplyCheck(small, small, mod, 39, n_prime, IllegalArgumentException.class); |
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300 |
testOneMontgomeryMultiplyCheck(small, small, mod, 0, n_prime, IllegalArgumentException.class); |
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301 |
testOneMontgomeryMultiplyCheck(small, small, mod, -1, n_prime, IllegalArgumentException.class); |
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302 |
// As above, but for multiply |
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303 |
testOneMontgomeryMultiplyCheck(small, small.clone(), mod, 39, n_prime, IllegalArgumentException.class); |
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304 |
testOneMontgomeryMultiplyCheck(small, small.clone(), mod, 0, n_prime, IllegalArgumentException.class); |
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305 |
testOneMontgomeryMultiplyCheck(small, small.clone(), mod, -1, n_prime, IllegalArgumentException.class); |
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||
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// array too small |
|
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testOneMontgomeryMultiplyCheck(blah, blah, mod, 40, n_prime, small, IllegalArgumentException.class); |
|
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testOneMontgomeryMultiplyCheck(blah, blah.clone(), mod, 40, n_prime, small, IllegalArgumentException.class); |
|
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testOneMontgomeryMultiplyCheck(small, blah, mod, 40, n_prime, blah, IllegalArgumentException.class); |
|
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testOneMontgomeryMultiplyCheck(blah, small, mod, 40, n_prime, blah, IllegalArgumentException.class); |
|
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testOneMontgomeryMultiplyCheck(blah, blah, mod, 40, n_prime, small, IllegalArgumentException.class); |
|
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testOneMontgomeryMultiplyCheck(small, small, mod, 40, n_prime, blah, IllegalArgumentException.class); |
|
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} |
|
315 |
||
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public static void main(String args[]) { |
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if (!Platform.isServer() || Platform.isEmulatedClient()) { |
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throw new Error("TESTBUG: Not server mode"); |
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} |
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if (wb.isIntrinsicAvailable(getExecutable(true), CompilerWhiteBoxTest.COMP_LEVEL_FULL_OPTIMIZATION) && |
321 |
wb.isIntrinsicAvailable(getExecutable(false), CompilerWhiteBoxTest.COMP_LEVEL_FULL_OPTIMIZATION)) { |
|
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try { |
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new MontgomeryMultiplyTest().testMontgomeryMultiplyChecks(); |
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new MontgomeryMultiplyTest().testResultValues(); |
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} catch (Throwable ex) { |
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throw new RuntimeException(ex); |
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} |
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} |
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} |
31583 | 330 |
} |