| /* |
| * 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.numbers.core; |
| |
| import java.math.RoundingMode; |
| |
| import org.junit.Assert; |
| import org.junit.jupiter.api.Test; |
| |
| /** |
| * Test cases for the {@link Precision} class. |
| * |
| */ |
| public class PrecisionTest { |
| @Test |
| public void testEqualsWithRelativeTolerance() { |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(0d, 0d, 0d)); |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(0d, 1 / Double.NEGATIVE_INFINITY, 0d)); |
| |
| final double eps = 1e-14; |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(1.987654687654968, 1.987654687654988, eps)); |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(1.987654687654968, 1.987654687654987, eps)); |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(1.987654687654968, 1.987654687654948, eps)); |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(1.987654687654968, 1.987654687654949, eps)); |
| |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(Precision.SAFE_MIN, 0.0, eps)); |
| |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(1.0000000000001e-300, 1e-300, eps)); |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(1.00000000000001e-300, 1e-300, eps)); |
| |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(Double.NEGATIVE_INFINITY, 1.23, eps)); |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(Double.POSITIVE_INFINITY, 1.23, eps)); |
| |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, eps)); |
| Assert.assertTrue(Precision.equalsWithRelativeTolerance(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, eps)); |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, eps)); |
| |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(Double.NaN, 1.23, eps)); |
| Assert.assertFalse(Precision.equalsWithRelativeTolerance(Double.NaN, Double.NaN, eps)); |
| } |
| |
| @Test |
| public void testEqualsIncludingNaN() { |
| double[] testArray = { |
| Double.NaN, |
| Double.POSITIVE_INFINITY, |
| Double.NEGATIVE_INFINITY, |
| 1d, |
| 0d }; |
| for (int i = 0; i < testArray.length; i++) { |
| for (int j = 0; j < testArray.length; j++) { |
| if (i == j) { |
| Assert.assertTrue(Precision.equalsIncludingNaN(testArray[i], testArray[j])); |
| Assert.assertTrue(Precision.equalsIncludingNaN(testArray[j], testArray[i])); |
| } else { |
| Assert.assertTrue(!Precision.equalsIncludingNaN(testArray[i], testArray[j])); |
| Assert.assertTrue(!Precision.equalsIncludingNaN(testArray[j], testArray[i])); |
| } |
| } |
| } |
| } |
| |
| @Test |
| public void testEqualsWithAllowedDelta() { |
| Assert.assertTrue(Precision.equals(153.0000, 153.0000, .0625)); |
| Assert.assertTrue(Precision.equals(153.0000, 153.0625, .0625)); |
| Assert.assertTrue(Precision.equals(152.9375, 153.0000, .0625)); |
| Assert.assertFalse(Precision.equals(153.0000, 153.0625, .0624)); |
| Assert.assertFalse(Precision.equals(152.9374, 153.0000, .0625)); |
| Assert.assertFalse(Precision.equals(Double.NaN, Double.NaN, 1.0)); |
| Assert.assertTrue(Precision.equals(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, 1.0)); |
| Assert.assertTrue(Precision.equals(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, 1.0)); |
| Assert.assertFalse(Precision.equals(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, 1.0)); |
| } |
| |
| @Test |
| public void testMath475() { |
| final double a = 1.7976931348623182E16; |
| final double b = Math.nextUp(a); |
| |
| double diff = Math.abs(a - b); |
| // Because they are adjacent floating point numbers, "a" and "b" are |
| // considered equal even though the allowed error is smaller than |
| // their difference. |
| Assert.assertTrue(Precision.equals(a, b, 0.5 * diff)); |
| |
| final double c = Math.nextUp(b); |
| diff = Math.abs(a - c); |
| // Because "a" and "c" are not adjacent, the tolerance is taken into |
| // account for assessing equality. |
| Assert.assertTrue(Precision.equals(a, c, diff)); |
| Assert.assertFalse(Precision.equals(a, c, (1 - 1e-16) * diff)); |
| } |
| |
| @Test |
| public void testEqualsIncludingNaNWithAllowedDelta() { |
| Assert.assertTrue(Precision.equalsIncludingNaN(153.0000, 153.0000, .0625)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(153.0000, 153.0625, .0625)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(152.9375, 153.0000, .0625)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.NaN, Double.NaN, 1.0)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, 1.0)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, 1.0)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, 1.0)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(153.0000, 153.0625, .0624)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(152.9374, 153.0000, .0625)); |
| } |
| |
| // Tests for floating point equality |
| @Test |
| public void testFloatEqualsWithAllowedUlps() { |
| Assert.assertTrue("+0.0f == -0.0f",Precision.equals(0.0f, -0.0f)); |
| Assert.assertTrue("+0.0f == -0.0f (1 ulp)",Precision.equals(0.0f, -0.0f, 1)); |
| float oneFloat = 1.0f; |
| Assert.assertTrue("1.0f == 1.0f + 1 ulp",Precision.equals(oneFloat, Float.intBitsToFloat(1 + Float.floatToIntBits(oneFloat)))); |
| Assert.assertTrue("1.0f == 1.0f + 1 ulp (1 ulp)",Precision.equals(oneFloat, Float.intBitsToFloat(1 + Float.floatToIntBits(oneFloat)), 1)); |
| Assert.assertFalse("1.0f != 1.0f + 2 ulp (1 ulp)",Precision.equals(oneFloat, Float.intBitsToFloat(2 + Float.floatToIntBits(oneFloat)), 1)); |
| |
| Assert.assertTrue(Precision.equals(153.0f, 153.0f, 1)); |
| |
| // These tests need adjusting for floating point precision |
| // Assert.assertTrue(Precision.equals(153.0f, 153.00000000000003f, 1)); |
| // Assert.assertFalse(Precision.equals(153.0f, 153.00000000000006f, 1)); |
| // Assert.assertTrue(Precision.equals(153.0f, 152.99999999999997f, 1)); |
| // Assert.assertFalse(Precision.equals(153f, 152.99999999999994f, 1)); |
| // |
| // Assert.assertTrue(Precision.equals(-128.0f, -127.99999999999999f, 1)); |
| // Assert.assertFalse(Precision.equals(-128.0f, -127.99999999999997f, 1)); |
| // Assert.assertTrue(Precision.equals(-128.0f, -128.00000000000003f, 1)); |
| // Assert.assertFalse(Precision.equals(-128.0f, -128.00000000000006f, 1)); |
| |
| Assert.assertTrue(Precision.equals(Float.POSITIVE_INFINITY, Float.POSITIVE_INFINITY, 1)); |
| Assert.assertTrue(Precision.equals(Double.MAX_VALUE, Float.POSITIVE_INFINITY, 1)); |
| |
| Assert.assertTrue(Precision.equals(Float.NEGATIVE_INFINITY, Float.NEGATIVE_INFINITY, 1)); |
| Assert.assertTrue(Precision.equals(-Float.MAX_VALUE, Float.NEGATIVE_INFINITY, 1)); |
| |
| Assert.assertFalse(Precision.equals(Float.NaN, Float.NaN, 1)); |
| Assert.assertFalse(Precision.equals(Float.NaN, Float.NaN, 0)); |
| Assert.assertFalse(Precision.equals(Float.NaN, 0, 0)); |
| Assert.assertFalse(Precision.equals(Float.NaN, Float.POSITIVE_INFINITY, 0)); |
| Assert.assertFalse(Precision.equals(Float.NaN, Float.NEGATIVE_INFINITY, 0)); |
| |
| Assert.assertFalse(Precision.equals(Float.NEGATIVE_INFINITY, Float.POSITIVE_INFINITY, 100000)); |
| } |
| |
| @Test |
| public void testEqualsWithAllowedUlps() { |
| Assert.assertTrue(Precision.equals(0.0, -0.0, 1)); |
| |
| Assert.assertTrue(Precision.equals(1.0, 1 + Math.ulp(1d), 1)); |
| Assert.assertFalse(Precision.equals(1.0, 1 + 2 * Math.ulp(1d), 1)); |
| |
| final double nUp1 = Math.nextAfter(1d, Double.POSITIVE_INFINITY); |
| final double nnUp1 = Math.nextAfter(nUp1, Double.POSITIVE_INFINITY); |
| Assert.assertTrue(Precision.equals(1.0, nUp1, 1)); |
| Assert.assertTrue(Precision.equals(nUp1, nnUp1, 1)); |
| Assert.assertFalse(Precision.equals(1.0, nnUp1, 1)); |
| |
| Assert.assertTrue(Precision.equals(0.0, Math.ulp(0d), 1)); |
| Assert.assertTrue(Precision.equals(0.0, -Math.ulp(0d), 1)); |
| |
| Assert.assertTrue(Precision.equals(153.0, 153.0, 1)); |
| |
| Assert.assertTrue(Precision.equals(153.0, 153.00000000000003, 1)); |
| Assert.assertFalse(Precision.equals(153.0, 153.00000000000006, 1)); |
| Assert.assertTrue(Precision.equals(153.0, 152.99999999999997, 1)); |
| Assert.assertFalse(Precision.equals(153, 152.99999999999994, 1)); |
| |
| Assert.assertTrue(Precision.equals(-128.0, -127.99999999999999, 1)); |
| Assert.assertFalse(Precision.equals(-128.0, -127.99999999999997, 1)); |
| Assert.assertTrue(Precision.equals(-128.0, -128.00000000000003, 1)); |
| Assert.assertFalse(Precision.equals(-128.0, -128.00000000000006, 1)); |
| |
| Assert.assertTrue(Precision.equals(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, 1)); |
| Assert.assertTrue(Precision.equals(Double.MAX_VALUE, Double.POSITIVE_INFINITY, 1)); |
| |
| Assert.assertTrue(Precision.equals(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, 1)); |
| Assert.assertTrue(Precision.equals(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY, 1)); |
| |
| Assert.assertFalse(Precision.equals(Double.NaN, Double.NaN, 1)); |
| Assert.assertFalse(Precision.equals(Double.NaN, Double.NaN, 0)); |
| Assert.assertFalse(Precision.equals(Double.NaN, 0, 0)); |
| Assert.assertFalse(Precision.equals(Double.NaN, Double.POSITIVE_INFINITY, 0)); |
| Assert.assertFalse(Precision.equals(Double.NaN, Double.NEGATIVE_INFINITY, 0)); |
| |
| Assert.assertFalse(Precision.equals(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, 100000)); |
| } |
| |
| @Test |
| public void testEqualsIncludingNaNWithAllowedUlps() { |
| Assert.assertTrue(Precision.equalsIncludingNaN(0.0, -0.0, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(1.0, 1 + Math.ulp(1d), 1)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(1.0, 1 + 2 * Math.ulp(1d), 1)); |
| |
| final double nUp1 = Math.nextAfter(1d, Double.POSITIVE_INFINITY); |
| final double nnUp1 = Math.nextAfter(nUp1, Double.POSITIVE_INFINITY); |
| Assert.assertTrue(Precision.equalsIncludingNaN(1.0, nUp1, 1)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(nUp1, nnUp1, 1)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(1.0, nnUp1, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(0.0, Math.ulp(0d), 1)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(0.0, -Math.ulp(0d), 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(153.0, 153.0, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(153.0, 153.00000000000003, 1)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(153.0, 153.00000000000006, 1)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(153.0, 152.99999999999997, 1)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(153, 152.99999999999994, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(-128.0, -127.99999999999999, 1)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(-128.0, -127.99999999999997, 1)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(-128.0, -128.00000000000003, 1)); |
| Assert.assertFalse(Precision.equalsIncludingNaN(-128.0, -128.00000000000006, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, 1)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.MAX_VALUE, Double.POSITIVE_INFINITY, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, 1)); |
| Assert.assertTrue(Precision.equalsIncludingNaN(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY, 1)); |
| |
| Assert.assertTrue(Precision.equalsIncludingNaN(Double.NaN, Double.NaN, 1)); |
| |
| Assert.assertFalse(Precision.equalsIncludingNaN(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, 100000)); |
| } |
| |
| @Test |
| public void testCompareToEpsilon() { |
| Assert.assertEquals(0, Precision.compareTo(152.33, 152.32, .011)); |
| Assert.assertTrue(Precision.compareTo(152.308, 152.32, .011) < 0); |
| Assert.assertTrue(Precision.compareTo(152.33, 152.318, .011) > 0); |
| Assert.assertEquals(0, Precision.compareTo(Double.MIN_VALUE, +0.0, Double.MIN_VALUE)); |
| Assert.assertEquals(0, Precision.compareTo(Double.MIN_VALUE, -0.0, Double.MIN_VALUE)); |
| } |
| |
| @Test |
| public void testCompareToMaxUlps() { |
| double a = 152.32; |
| double delta = Math.ulp(a); |
| for (int i = 0; i <= 10; ++i) { |
| if (i <= 5) { |
| Assert.assertEquals( 0, Precision.compareTo(a, a + i * delta, 5)); |
| Assert.assertEquals( 0, Precision.compareTo(a, a - i * delta, 5)); |
| } else { |
| Assert.assertEquals(-1, Precision.compareTo(a, a + i * delta, 5)); |
| Assert.assertEquals(+1, Precision.compareTo(a, a - i * delta, 5)); |
| } |
| } |
| |
| Assert.assertEquals( 0, Precision.compareTo(-0.0, 0.0, 0)); |
| |
| Assert.assertEquals(-1, Precision.compareTo(-Double.MIN_VALUE, -0.0, 0)); |
| Assert.assertEquals( 0, Precision.compareTo(-Double.MIN_VALUE, -0.0, 1)); |
| Assert.assertEquals(-1, Precision.compareTo(-Double.MIN_VALUE, +0.0, 0)); |
| Assert.assertEquals( 0, Precision.compareTo(-Double.MIN_VALUE, +0.0, 1)); |
| |
| Assert.assertEquals(+1, Precision.compareTo( Double.MIN_VALUE, -0.0, 0)); |
| Assert.assertEquals( 0, Precision.compareTo( Double.MIN_VALUE, -0.0, 1)); |
| Assert.assertEquals(+1, Precision.compareTo( Double.MIN_VALUE, +0.0, 0)); |
| Assert.assertEquals( 0, Precision.compareTo( Double.MIN_VALUE, +0.0, 1)); |
| |
| Assert.assertEquals(-1, Precision.compareTo(-Double.MIN_VALUE, Double.MIN_VALUE, 0)); |
| Assert.assertEquals(-1, Precision.compareTo(-Double.MIN_VALUE, Double.MIN_VALUE, 1)); |
| Assert.assertEquals( 0, Precision.compareTo(-Double.MIN_VALUE, Double.MIN_VALUE, 2)); |
| |
| Assert.assertEquals( 0, Precision.compareTo(Double.MAX_VALUE, Double.POSITIVE_INFINITY, 1)); |
| Assert.assertEquals(-1, Precision.compareTo(Double.MAX_VALUE, Double.POSITIVE_INFINITY, 0)); |
| |
| Assert.assertEquals(+1, Precision.compareTo(Double.MAX_VALUE, Double.NaN, Integer.MAX_VALUE)); |
| Assert.assertEquals(+1, Precision.compareTo(Double.NaN, Double.MAX_VALUE, Integer.MAX_VALUE)); |
| } |
| |
| @Test |
| public void testRoundDouble() { |
| double x = 1.234567890; |
| Assert.assertEquals(1.23, Precision.round(x, 2), 0.0); |
| Assert.assertEquals(1.235, Precision.round(x, 3), 0.0); |
| Assert.assertEquals(1.2346, Precision.round(x, 4), 0.0); |
| |
| // JIRA MATH-151 |
| Assert.assertEquals(39.25, Precision.round(39.245, 2), 0.0); |
| Assert.assertEquals(39.24, Precision.round(39.245, 2, RoundingMode.DOWN), 0.0); |
| double xx = 39.0; |
| xx += 245d / 1000d; |
| Assert.assertEquals(39.25, Precision.round(xx, 2), 0.0); |
| |
| // BZ 35904 |
| Assert.assertEquals(30.1d, Precision.round(30.095d, 2), 0.0d); |
| Assert.assertEquals(30.1d, Precision.round(30.095d, 1), 0.0d); |
| Assert.assertEquals(33.1d, Precision.round(33.095d, 1), 0.0d); |
| Assert.assertEquals(33.1d, Precision.round(33.095d, 2), 0.0d); |
| Assert.assertEquals(50.09d, Precision.round(50.085d, 2), 0.0d); |
| Assert.assertEquals(50.19d, Precision.round(50.185d, 2), 0.0d); |
| Assert.assertEquals(50.01d, Precision.round(50.005d, 2), 0.0d); |
| Assert.assertEquals(30.01d, Precision.round(30.005d, 2), 0.0d); |
| Assert.assertEquals(30.65d, Precision.round(30.645d, 2), 0.0d); |
| |
| Assert.assertEquals(1.24, Precision.round(x, 2, RoundingMode.CEILING), 0.0); |
| Assert.assertEquals(1.235, Precision.round(x, 3, RoundingMode.CEILING), 0.0); |
| Assert.assertEquals(1.2346, Precision.round(x, 4, RoundingMode.CEILING), 0.0); |
| Assert.assertEquals(-1.23, Precision.round(-x, 2, RoundingMode.CEILING), 0.0); |
| Assert.assertEquals(-1.234, Precision.round(-x, 3, RoundingMode.CEILING), 0.0); |
| Assert.assertEquals(-1.2345, Precision.round(-x, 4, RoundingMode.CEILING), 0.0); |
| |
| Assert.assertEquals(1.23, Precision.round(x, 2, RoundingMode.DOWN), 0.0); |
| Assert.assertEquals(1.234, Precision.round(x, 3, RoundingMode.DOWN), 0.0); |
| Assert.assertEquals(1.2345, Precision.round(x, 4, RoundingMode.DOWN), 0.0); |
| Assert.assertEquals(-1.23, Precision.round(-x, 2, RoundingMode.DOWN), 0.0); |
| Assert.assertEquals(-1.234, Precision.round(-x, 3, RoundingMode.DOWN), 0.0); |
| Assert.assertEquals(-1.2345, Precision.round(-x, 4, RoundingMode.DOWN), 0.0); |
| |
| Assert.assertEquals(1.23, Precision.round(x, 2, RoundingMode.FLOOR), 0.0); |
| Assert.assertEquals(1.234, Precision.round(x, 3, RoundingMode.FLOOR), 0.0); |
| Assert.assertEquals(1.2345, Precision.round(x, 4, RoundingMode.FLOOR), 0.0); |
| Assert.assertEquals(-1.24, Precision.round(-x, 2, RoundingMode.FLOOR), 0.0); |
| Assert.assertEquals(-1.235, Precision.round(-x, 3, RoundingMode.FLOOR), 0.0); |
| Assert.assertEquals(-1.2346, Precision.round(-x, 4, RoundingMode.FLOOR), 0.0); |
| |
| Assert.assertEquals(1.23, Precision.round(x, 2, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(1.235, Precision.round(x, 3, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(1.2346, Precision.round(x, 4, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(-1.23, Precision.round(-x, 2, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(-1.235, Precision.round(-x, 3, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(-1.2346, Precision.round(-x, 4, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(1.234, Precision.round(1.2345, 3, RoundingMode.HALF_DOWN), 0.0); |
| Assert.assertEquals(-1.234, Precision.round(-1.2345, 3, RoundingMode.HALF_DOWN), 0.0); |
| |
| Assert.assertEquals(1.23, Precision.round(x, 2, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(1.235, Precision.round(x, 3, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(1.2346, Precision.round(x, 4, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(-1.23, Precision.round(-x, 2, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(-1.235, Precision.round(-x, 3, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(-1.2346, Precision.round(-x, 4, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(1.234, Precision.round(1.2345, 3, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(-1.234, Precision.round(-1.2345, 3, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(1.236, Precision.round(1.2355, 3, RoundingMode.HALF_EVEN), 0.0); |
| Assert.assertEquals(-1.236, Precision.round(-1.2355, 3, RoundingMode.HALF_EVEN), 0.0); |
| |
| Assert.assertEquals(1.23, Precision.round(x, 2, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(1.235, Precision.round(x, 3, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(1.2346, Precision.round(x, 4, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(-1.23, Precision.round(-x, 2, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(-1.235, Precision.round(-x, 3, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(-1.2346, Precision.round(-x, 4, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(1.235, Precision.round(1.2345, 3, RoundingMode.HALF_UP), 0.0); |
| Assert.assertEquals(-1.235, Precision.round(-1.2345, 3, RoundingMode.HALF_UP), 0.0); |
| |
| Assert.assertEquals(-1.23, Precision.round(-1.23, 2, RoundingMode.UNNECESSARY), 0.0); |
| Assert.assertEquals(1.23, Precision.round(1.23, 2, RoundingMode.UNNECESSARY), 0.0); |
| |
| try { |
| Precision.round(1.234, 2, RoundingMode.UNNECESSARY); |
| Assert.fail(); |
| } catch (ArithmeticException ex) { |
| // expected |
| } |
| |
| Assert.assertEquals(1.24, Precision.round(x, 2, RoundingMode.UP), 0.0); |
| Assert.assertEquals(1.235, Precision.round(x, 3, RoundingMode.UP), 0.0); |
| Assert.assertEquals(1.2346, Precision.round(x, 4, RoundingMode.UP), 0.0); |
| Assert.assertEquals(-1.24, Precision.round(-x, 2, RoundingMode.UP), 0.0); |
| Assert.assertEquals(-1.235, Precision.round(-x, 3, RoundingMode.UP), 0.0); |
| Assert.assertEquals(-1.2346, Precision.round(-x, 4, RoundingMode.UP), 0.0); |
| |
| // MATH-151 |
| Assert.assertEquals(39.25, Precision.round(39.245, 2, RoundingMode.HALF_UP), 0.0); |
| |
| // special values |
| TestUtils.assertEquals(Double.NaN, Precision.round(Double.NaN, 2), 0.0); |
| Assert.assertEquals(0.0, Precision.round(0.0, 2), 0.0); |
| Assert.assertEquals(Double.POSITIVE_INFINITY, Precision.round(Double.POSITIVE_INFINITY, 2), 0.0); |
| Assert.assertEquals(Double.NEGATIVE_INFINITY, Precision.round(Double.NEGATIVE_INFINITY, 2), 0.0); |
| // comparison of positive and negative zero is not possible -> always equal thus do string comparison |
| Assert.assertEquals("-0.0", Double.toString(Precision.round(-0.0, 0))); |
| Assert.assertEquals("-0.0", Double.toString(Precision.round(-1e-10, 0))); |
| } |
| |
| |
| @Test |
| public void testIssue721() { |
| Assert.assertEquals(-53, Math.getExponent(Precision.EPSILON)); |
| Assert.assertEquals(-1022, Math.getExponent(Precision.SAFE_MIN)); |
| } |
| |
| |
| @Test |
| public void testRepresentableDelta() { |
| int nonRepresentableCount = 0; |
| final double x = 100; |
| final int numTrials = 10000; |
| for (int i = 0; i < numTrials; i++) { |
| final double originalDelta = Math.random(); |
| final double delta = Precision.representableDelta(x, originalDelta); |
| if (delta != originalDelta) { |
| ++nonRepresentableCount; |
| } |
| } |
| |
| Assert.assertTrue(nonRepresentableCount / (double) numTrials > 0.9); |
| } |
| |
| @Test |
| public void testMath843() { |
| final double afterEpsilon = Math.nextAfter(Precision.EPSILON, |
| Double.POSITIVE_INFINITY); |
| |
| // a) 1 + EPSILON is equal to 1. |
| Assert.assertTrue(1 + Precision.EPSILON == 1); |
| |
| // b) 1 + "the number after EPSILON" is not equal to 1. |
| Assert.assertFalse(1 + afterEpsilon == 1); |
| } |
| |
| @Test |
| public void testMath1127() { |
| Assert.assertFalse(Precision.equals(2.0, -2.0, 1)); |
| Assert.assertTrue(Precision.equals(0.0, -0.0, 0)); |
| Assert.assertFalse(Precision.equals(2.0f, -2.0f, 1)); |
| Assert.assertTrue(Precision.equals(0.0f, -0.0f, 0)); |
| } |
| } |
