# HG changeset patch # User bpb # Date 1398208645 25200 # Tue Apr 22 16:17:25 2014 -0700 # Node ID 7bf5a7418567c36f991c1df164beea3e95ff8ca8 # Parent bc96b8cf4d4f2c45db9e9089ce01ba813fa916f0 8026236: Add PrimeTest for BigInteger Summary: Test primality verification methods in BigIntege Reviewed-by: TBD diff --git a/test/java/math/BigInteger/PrimeTest.java b/test/java/math/BigInteger/PrimeTest.java new file mode 100644 --- /dev/null +++ b/test/java/math/BigInteger/PrimeTest.java @@ -0,0 +1,164 @@ +/* + * Copyright (c) 2014, 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. + */ + +/* + * @test + * @bug 8026236 + * @summary test primality verification methods in BigInteger + * @author bpb + */ + +import java.io.BufferedReader; +import java.io.File; +import java.io.FileInputStream; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.io.InputStreamReader; +import java.math.BigInteger; +import java.util.List; +import java.util.Random; +import static java.util.stream.Collectors.toList; +import java.util.stream.Stream; +import java.util.zip.GZIPInputStream; + +public class PrimeTest { + private static final String DEFAULT_PRIMES_FILE; + private static final int DEFAULT_UPPER_BOUND = 1000000; + private static final int DEFAULT_CERTAINTY = 100; + + static { + try { + String dir = System.getProperty("test.src", "."); + File testFile = new File(dir, "primes-100000.txt.gz"); + DEFAULT_PRIMES_FILE = testFile.getAbsolutePath(); + } catch (Throwable t) { + throw new Error(t); + } + } + + public static void main(String[] args) throws Throwable { + // Prepare arguments + File primesFile = args.length > 0 ? new File(args[0]) : new File(DEFAULT_PRIMES_FILE); + int upperBound = args.length > 1 ? Integer.valueOf(args[1]) : DEFAULT_UPPER_BOUND; + int certainty = args.length > 2 ? Integer.valueOf(args[2]) : DEFAULT_CERTAINTY; + boolean parallel = args.length > 3 ? Boolean.valueOf(args[3]) : true; + + // Echo parameter settings + System.out.println("Primes: " + primesFile + "\nupper bound = " + upperBound + + "\ncertainty = " + certainty + + "\nparallel = " + parallel); + + boolean primeTest = checkPrime(primesFile, upperBound, certainty, parallel); + System.out.println("Prime test result: " + (primeTest ? "SUCCESS" : "FAILURE")); + if (!primeTest) { + System.err.println("Prime test failed"); + } + + boolean notPrimeTest = checkNotPrime(primesFile, upperBound, certainty); + System.out.println("Not-prime test result: " + (notPrimeTest ? "SUCCESS" : "FAILURE")); + + if (!primeTest || !notPrimeTest) { + throw new Exception("PrimeTest FAILED!"); + } + System.out.println("PrimeTest succeeded!"); + } + + /** + * Parse the primes into a list of [@code BigInteger}s. + * + * @param f File of prime numbers assumed to be a GZIPped text file with one + * number per line in the default character set + * @param n The maximum number of primes to load + * @return A {@code List} containing the loaded primes + * @throws IOException If something nasty happens + */ + private static List parsePrimes(File f, long n) throws IOException { + GZIPInputStream gis = new GZIPInputStream(new FileInputStream(f)); + BufferedReader br = new BufferedReader(new InputStreamReader(gis)); + try (Stream lines = br.lines()) { + return lines.limit(n).map(BigInteger::new).collect(toList()); + } + } + + /** + * Verifies whether the fraction of probable primes detected in the range + * [2,upperBound) is at least 1 - 1/2^certainty. + * + * @return true if and only if the test succeeds + */ + private static boolean checkPrime(File primesFile, int upperBound, + int certainty, + boolean parallel) throws FileNotFoundException, IOException { + + List primes = parsePrimes(primesFile, upperBound); + + System.out.println(String.format("Loaded %d primes", primes.size())); + + long probablePrimes = (parallel ? primes.parallelStream() : primes.stream()) + .filter(bi -> bi.isProbablePrime(certainty)) + .count(); + + System.out.println(probablePrimes + " probable primes out of " + + primes.size() + " candidates"); + if (probablePrimes != primes.size()) { + System.err.println("Number of probable primes unequal to number of actual primes"); + } + + // N = certainty / 2 + // Success if p/t >= 1 - 1/4^N + // or (p/t)*4^N >= 4^N - 1 + // or p*4^N >= t*(4^N - 1) + BigInteger p = BigInteger.valueOf(probablePrimes); + BigInteger t = BigInteger.valueOf(primes.size()); + BigInteger fourToTheC = BigInteger.valueOf(4).pow(certainty / 2); + BigInteger fourToTheCMinusOne = fourToTheC.subtract(BigInteger.ONE); + BigInteger left = p.multiply(fourToTheC); + BigInteger right = t.multiply(fourToTheCMinusOne); + + if (left.compareTo(right) < 0) { + System.err.println("Probable prime certainty test failed."); + } + + return left.compareTo(right) >= 0; + } + + /** + * Verifies whether all {@code BigInteger}s in the range [2,upperBound) for + * which {@code isProbablePrime()} returns {@code false} are not + * prime numbers. + * + * @return true if and only if the test succeeds + */ + private static boolean checkNotPrime(File primesFile, int upperBound, + int certainty) throws FileNotFoundException, IOException { + List primes = parsePrimes(primesFile, upperBound); + + // If it's not a probable prime but is in the primes list then fail. + boolean result = !(new Random()).ints(2500, 0, 100000).mapToObj(i -> {return BigInteger.valueOf(i);}).filter(b -> !b.isProbablePrime(certainty)).anyMatch(c -> primes.contains(c)); + + return result; + } +} + 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