| /* |
| * Licensed to the Apache Software Foundation (ASF) under one or more |
| * contributor license agreements. See the NOTICE file distributed with |
| * this work for additional information regarding copyright ownership. |
| * The ASF licenses this file to You 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 org.apache.commons.math4.legacy.linear; |
| |
| import java.math.BigDecimal; |
| import java.math.BigInteger; |
| import java.math.MathContext; |
| |
| import org.apache.commons.math4.legacy.TestUtils; |
| import org.apache.commons.math4.legacy.exception.MathArithmeticException; |
| import org.apache.commons.math4.legacy.core.jdkmath.AccurateMath; |
| import org.junit.Assert; |
| import org.junit.Test; |
| |
| public class BigRealTest { |
| |
| @Test |
| public void testConstructor() { |
| Assert.assertEquals(1.625, |
| new BigReal(new BigDecimal("1.625")).doubleValue(), |
| 1.0e-15); |
| Assert.assertEquals(-5.0, |
| new BigReal(new BigInteger("-5")).doubleValue(), |
| 1.0e-15); |
| Assert.assertEquals(-5.0, new BigReal(new BigInteger("-5"), |
| MathContext.DECIMAL64) |
| .doubleValue(), 1.0e-15); |
| Assert |
| .assertEquals(0.125, |
| new BigReal(new BigInteger("125"), 3).doubleValue(), |
| 1.0e-15); |
| Assert.assertEquals(0.125, new BigReal(new BigInteger("125"), 3, |
| MathContext.DECIMAL64) |
| .doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal(new char[] { |
| '1', '.', '6', '2', '5' |
| }).doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal(new char[] { |
| 'A', 'A', '1', '.', '6', '2', '5', '9' |
| }, 2, 5).doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal(new char[] { |
| 'A', 'A', '1', '.', '6', '2', '5', '9' |
| }, 2, 5, MathContext.DECIMAL64).doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal(new char[] { |
| '1', '.', '6', '2', '5' |
| }, MathContext.DECIMAL64).doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal(1.625).doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal(1.625, MathContext.DECIMAL64) |
| .doubleValue(), 1.0e-15); |
| Assert.assertEquals(-5.0, new BigReal(-5).doubleValue(), 1.0e-15); |
| Assert.assertEquals(-5.0, new BigReal(-5, MathContext.DECIMAL64) |
| .doubleValue(), 1.0e-15); |
| Assert.assertEquals(-5.0, new BigReal(-5L).doubleValue(), 1.0e-15); |
| Assert.assertEquals(-5.0, new BigReal(-5L, MathContext.DECIMAL64) |
| .doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal("1.625").doubleValue(), 1.0e-15); |
| Assert.assertEquals(1.625, new BigReal("1.625", MathContext.DECIMAL64) |
| .doubleValue(), 1.0e-15); |
| } |
| |
| @Test |
| public void testCompareTo() { |
| BigReal first = new BigReal(1.0 / 2.0); |
| BigReal second = new BigReal(1.0 / 3.0); |
| BigReal third = new BigReal(1.0 / 2.0); |
| |
| Assert.assertEquals(0, first.compareTo(first)); |
| Assert.assertEquals(0, first.compareTo(third)); |
| Assert.assertEquals(1, first.compareTo(second)); |
| Assert.assertEquals(-1, second.compareTo(first)); |
| |
| } |
| |
| @Test |
| public void testAdd() { |
| BigReal a = new BigReal("1.2345678"); |
| BigReal b = new BigReal("8.7654321"); |
| Assert.assertEquals(9.9999999, a.add(b).doubleValue(), 1.0e-15); |
| } |
| |
| @Test |
| public void testSubtract() { |
| BigReal a = new BigReal("1.2345678"); |
| BigReal b = new BigReal("8.7654321"); |
| Assert.assertEquals(-7.5308643, a.subtract(b).doubleValue(), 1.0e-15); |
| } |
| |
| @Test |
| public void testNegate() { |
| BigReal a = new BigReal("1.2345678"); |
| BigReal zero = new BigReal("0.0000000"); |
| Assert.assertEquals(a.negate().add(a), zero); |
| Assert.assertEquals(a.add(a.negate()), zero); |
| Assert.assertEquals(zero, zero.negate()); |
| } |
| |
| @Test |
| public void testDivide() { |
| BigReal a = new BigReal("1.0000000000"); |
| BigReal b = new BigReal("0.0009765625"); |
| Assert.assertEquals(1024.0, a.divide(b).doubleValue(), 1.0e-15); |
| } |
| |
| @Test(expected = MathArithmeticException.class) |
| public void testDivisionByZero() { |
| final BigReal a = BigReal.ONE; |
| final BigReal b = BigReal.ZERO; |
| a.divide(b); |
| } |
| |
| @Test |
| public void testReciprocal() { |
| BigReal a = new BigReal("1.2345678"); |
| double eps = AccurateMath.pow(10., -a.getScale()); |
| BigReal one = new BigReal("1.0000000"); |
| BigReal b = a.reciprocal(); |
| BigReal r = one.subtract(a.multiply(b)); |
| Assert.assertTrue(AccurateMath.abs(r.doubleValue()) <= eps); |
| r = one.subtract(b.multiply(a)); |
| Assert.assertTrue(AccurateMath.abs(r.doubleValue()) <= eps); |
| } |
| |
| @Test(expected = MathArithmeticException.class) |
| public void testReciprocalOfZero() { |
| BigReal.ZERO.reciprocal(); |
| } |
| |
| @Test |
| public void testMultiply() { |
| BigReal a = new BigReal("1024.0"); |
| BigReal b = new BigReal("0.0009765625"); |
| Assert.assertEquals(1.0, a.multiply(b).doubleValue(), 1.0e-15); |
| int n = 1024; |
| Assert.assertEquals(1.0, b.multiply(n).doubleValue(), 1.0e-15); |
| } |
| |
| @Test |
| public void testDoubleValue() { |
| Assert.assertEquals(0.5, new BigReal(0.5).doubleValue(), 1.0e-15); |
| } |
| |
| @Test |
| public void testBigDecimalValue() { |
| BigDecimal pi = new BigDecimal( |
| "3.1415926535897932384626433832795028841971693993751"); |
| Assert.assertEquals(pi, new BigReal(pi).bigDecimalValue()); |
| Assert.assertEquals(new BigDecimal(0.5), |
| new BigReal(1.0 / 2.0).bigDecimalValue()); |
| } |
| |
| @Test |
| public void testEqualsAndHashCode() { |
| BigReal zero = new BigReal(0.0); |
| BigReal nullReal = null; |
| Assert.assertEquals(zero, zero); |
| Assert.assertNotEquals(zero, nullReal); |
| Assert.assertFalse(zero.equals(Double.valueOf(0))); |
| BigReal zero2 = new BigReal(0.0); |
| Assert.assertEquals(zero, zero2); |
| Assert.assertEquals(zero.hashCode(), zero2.hashCode()); |
| BigReal one = new BigReal(1.0); |
| Assert.assertFalse(one.equals(zero) || zero.equals(one)); |
| Assert.assertEquals(one, BigReal.ONE); |
| BigReal oneWithScaleOne = new BigReal(new BigDecimal("1.0")); |
| BigReal oneWithScaleTwo = new BigReal(new BigDecimal("1.00")); |
| Assert.assertEquals(oneWithScaleOne, oneWithScaleTwo); |
| Assert.assertEquals(oneWithScaleOne.hashCode(), oneWithScaleTwo.hashCode()); |
| } |
| |
| @Test |
| public void testSerial() { |
| BigReal[] Reals = { |
| new BigReal(3.0), BigReal.ONE, BigReal.ZERO, new BigReal(17), |
| new BigReal(AccurateMath.PI), new BigReal(-2.5) |
| }; |
| for (BigReal Real : Reals) { |
| Assert.assertEquals(Real, TestUtils.serializeAndRecover(Real)); |
| } |
| } |
| } |