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/*
* Copyright (C) 2010 The Android Open Source Project
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package libcore.java.math;
import java.math.BigInteger;
import java.util.Random;
public class BigIntegerTest extends junit.framework.TestCase {
// http://code.google.com/p/android/issues/detail?id=18452
public void test_hashCode() {
BigInteger firstBig = new BigInteger("30003543667898318853");
BigInteger secondBig = new BigInteger("3298535022597");
BigInteger andedBigs = firstBig.and(secondBig);
BigInteger toCompareBig = BigInteger.valueOf(andedBigs.longValue());
assertEquals(andedBigs, toCompareBig);
assertEquals(andedBigs.hashCode(), toCompareBig.hashCode());
}
// http://b/2981072 - off-by-one error in BigInteger.valueOf
public void test_valueOf() {
// I assume here that we'll never cache more than 1024 values.
// (At the moment, we cache -1 to 10.)
for (int i = -1024; i <= 1024; ++i) {
assertEquals(i, BigInteger.valueOf(i).intValue());
}
}
// http://code.google.com/p/android/issues/detail?id=7036
public void test_invalidBigIntegerStringConversions() {
// Check we don't disallow related reasonable strings...
new BigInteger("1", 10);
new BigInteger("1a", 16);
new BigInteger("-1", 10);
new BigInteger("-1a", 16);
new BigInteger("\u0661", 10);
new BigInteger("\u0661a", 16);
new BigInteger("-\u0661", 10);
new BigInteger("-\u0661a", 16);
// This is allowed from Java 7 on.
new BigInteger("+1");
// Now check the invalid cases...
try {
new BigInteger("-a"); // no digits from other bases.
fail();
} catch (NumberFormatException expected) {
}
try {
new BigInteger("-1a"); // no trailing digits from other bases.
fail();
} catch (NumberFormatException expected) {
}
try {
new BigInteger("-1 hello"); // no trailing junk at all.
fail();
} catch (NumberFormatException expected) {
}
try {
new BigInteger("--1"); // only one sign.
fail();
} catch (NumberFormatException expected) {
}
try {
new BigInteger(""); // at least one digit.
fail();
} catch (NumberFormatException expected) {
}
try {
new BigInteger("-"); // at least one digit, even after a sign.
fail();
} catch (NumberFormatException expected) {
}
}
public void test_Constructor_ILjava_util_Random() throws Exception {
Random rand = new Random();
BigInteger b;
for (int rep = 0; rep < 1024; ++rep) { // Manual flakiness protection for random tests.
b = new BigInteger(128, rand);
assertTrue(b.toString() + " " + b.bitLength(), b.bitLength() <= 128);
b = new BigInteger(16, rand);
assertTrue(b.toString() + " " + b.bitLength(), b.bitLength() <= 16);
b = new BigInteger(5, rand);
assertTrue(b.toString() + " " + b.bitLength(), b.bitLength() <= 5);
}
}
public void test_Constructor_IILjava_util_Random() throws Exception {
Random rand = new Random();
BigInteger b;
for (int rep = 0; rep < 1024; ++rep) { // Manual flakiness protection for random tests.
b = new BigInteger(128, 100, rand);
assertEquals(b.toString(), 128, b.bitLength());
assertTrue(b.isProbablePrime(100));
b = new BigInteger(16, 100, rand);
assertEquals(b.toString(), 16, b.bitLength());
assertTrue(b.isProbablePrime(100));
b = new BigInteger(5, 100, rand);
assertEquals(b.toString(), 5, b.bitLength());
assertTrue(b.isProbablePrime(100));
}
// Two bits is an interesting special case because there's an even 2-bit prime.
int[] primes = new int[1024];
boolean saw2 = false;
boolean saw3 = false;
for (int rep = 0; rep < primes.length; ++rep) { // Manual flakiness protection for random tests.
b = new BigInteger(2, 100, rand);
assertEquals(b.toString(), 2, b.bitLength());
assertTrue(b.isProbablePrime(100));
primes[rep] = b.intValue();
}
for (int i = 0; i < primes.length; ++i) {
if (primes[i] == 2) {
saw2 = true;
} else if (primes[i] == 3) {
saw3 = true;
} else {
fail();
}
}
assertTrue(saw2 && saw3);
}
public void test_probablePrime() throws Exception {
Random rand = new Random();
BigInteger b;
for (int rep = 0; rep < 1024; ++rep) { // Manual flakiness protection for random tests.
b = BigInteger.probablePrime(128, rand);
assertEquals(b.toString(), 128, b.bitLength());
assertTrue(b.isProbablePrime(100));
b = BigInteger.probablePrime(16, rand);
assertEquals(b.toString(), 16, b.bitLength());
assertTrue(b.isProbablePrime(100));
b = BigInteger.probablePrime(5, rand);
assertEquals(b.toString(), 5, b.bitLength());
assertTrue(b.isProbablePrime(100));
}
}
public void test_negativeValues_superfluousZeros() throws Exception {
byte[] trimmedBytes = new byte[] {
(byte) 0xae, (byte) 0x0f, (byte) 0xa1, (byte) 0x93
};
byte[] extraZeroesBytes = new byte[] {
(byte) 0xff, (byte) 0xae, (byte) 0x0f, (byte) 0xa1, (byte) 0x93
};
BigInteger trimmed = new BigInteger(trimmedBytes);
BigInteger extraZeroes = new BigInteger(extraZeroesBytes);
assertEquals(trimmed, extraZeroes);
}
public void test_positiveValues_superfluousZeros() throws Exception {
byte[] trimmedBytes = new byte[] {
(byte) 0x2e, (byte) 0x0f, (byte) 0xa1, (byte) 0x93
};
byte[] extraZeroesBytes = new byte[] {
(byte) 0x00, (byte) 0x2e, (byte) 0x0f, (byte) 0xa1, (byte) 0x93
};
BigInteger trimmed = new BigInteger(trimmedBytes);
BigInteger extraZeroes = new BigInteger(extraZeroesBytes);
assertEquals(trimmed, extraZeroes);
}
/**
* Tests that Long.MIN_VALUE / -1 doesn't overflow back to Long.MIN_VALUE,
* like it would in long arithmetic.
*/
public void test_divide_avoids64bitOverflow() throws Exception {
BigInteger negV = BigInteger.valueOf(Long.MIN_VALUE);
BigInteger posV = negV.divide(BigInteger.valueOf(-1));
assertEquals("-9223372036854775808", negV.toString());
assertEquals( "9223372036854775808", posV.toString());
}
private void try_gcd_variants(BigInteger arg1, BigInteger arg2, BigInteger result)
throws Exception {
// Test both argument orders, and all 4 combinations of negation.
assertEquals(result, arg1.gcd(arg2));
assertEquals(result, arg2.gcd(arg1));
assertEquals(result, arg1.negate().gcd(arg2));
assertEquals(result, arg2.gcd(arg1.negate()));
assertEquals(result, arg1.gcd(arg2.negate()));
assertEquals(result, arg2.negate().gcd(arg1));
assertEquals(result, arg1.negate().gcd(arg2.negate()));
assertEquals(result, arg2.negate().gcd(arg1.negate()));
}
/**
* Test gcd(), with emphasis on arguments of very different size.
*/
public void test_gcd() throws Exception {
BigInteger two = BigInteger.valueOf(2); // BigInteger.TWO added in OpenJDK 9
BigInteger three = BigInteger.valueOf(3);
try_gcd_variants(BigInteger.TEN, two, two);
try_gcd_variants(BigInteger.TEN, BigInteger.TEN, BigInteger.TEN);
try_gcd_variants(BigInteger.TEN, BigInteger.ZERO, BigInteger.TEN);
try_gcd_variants(BigInteger.ZERO, BigInteger.ZERO, BigInteger.ZERO);
BigInteger large = three.shiftLeft(500);
try_gcd_variants(large, three, three);
try_gcd_variants(large, large, large);
try_gcd_variants(large, two, two);
try_gcd_variants(large, BigInteger.valueOf(5), BigInteger.ONE);
try_gcd_variants(large, BigInteger.ZERO, large);
}
public void test_byteValueExact() throws Exception {
for (int i = -300; i != 300; i += 10) {
try {
assertEquals(i, BigInteger.valueOf(i).byteValueExact());
assertTrue("Missing byteValueExact exception on " + i,
i >= Byte.MIN_VALUE && i <= Byte.MAX_VALUE);
} catch (ArithmeticException e) {
assertTrue("Unexpected byteValueExact exception on " + i,
i < Byte.MIN_VALUE || i > Byte.MAX_VALUE);
}
}
try {
BigInteger.ONE.shiftLeft(1000).byteValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
try {
BigInteger.ONE.negate().shiftLeft(1000).byteValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
}
public void test_shortValueExact() throws Exception {
for (int i = -100_000; i != 100_000; i += 10_000) {
try {
assertEquals(i, BigInteger.valueOf(i).shortValueExact());
assertTrue("Missing shortValueExact exception on " + i,
i >= Short.MIN_VALUE && i <= Short.MAX_VALUE);
} catch (ArithmeticException e) {
assertTrue("Unexpected shortValueExact exception on " + i,
i < Short.MIN_VALUE || i > Short.MAX_VALUE);
}
}
try {
BigInteger.ONE.shiftLeft(1000).shortValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
try {
BigInteger.ONE.negate().shiftLeft(1000).shortValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
}
public void test_intValueExact() throws Exception {
for (long i = -10_000_000_000L; i != 10_000_000_000L; i += 1_000_000_000L) {
try {
assertEquals(i, BigInteger.valueOf(i).intValueExact());
assertTrue("Missing intValueExact exception on " + i,
i >= Integer.MIN_VALUE && i <= Integer.MAX_VALUE);
} catch (ArithmeticException e) {
assertTrue("Unexpected intValueExact exception on " + i,
i < Integer.MIN_VALUE || i > Integer.MAX_VALUE);
}
}
try {
BigInteger.ONE.shiftLeft(1000).intValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
try {
BigInteger.ONE.negate().shiftLeft(1000).intValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
}
public void test_longValueExact() throws Exception {
BigInteger min = BigInteger.valueOf(Long.MIN_VALUE);
BigInteger max = BigInteger.valueOf(Long.MAX_VALUE);
for (long i = -16; i != 16; ++i) {
BigInteger big = BigInteger.valueOf(i).shiftLeft(61);
try {
assertEquals(i << 61, big.longValueExact());
assertTrue("Missing longValueExact exception on " + i,
big.compareTo(min) >= 0 && big.compareTo(max) <= 0);
} catch (ArithmeticException e) {
assertTrue("Unexpected longValueExact exception on " + i,
big.compareTo(min) < 0 || big.compareTo(max) > 0);
}
}
try {
BigInteger.ONE.shiftLeft(1000).longValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
try {
BigInteger.ONE.negate().shiftLeft(1000).longValueExact();
fail("Expected ArithmeticException");
} catch (ArithmeticException e) {}
}
}