| /* |
| * 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) {} |
| } |
| } |