654 lines
21 KiB
C#
654 lines
21 KiB
C#
/*
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Copyright 2014 Alex Dyachenko
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This file is part of the MPIR Library.
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The MPIR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published
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by the Free Software Foundation; either version 3 of the License, or (at
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your option) any later version.
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The MPIR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the MPIR Library. If not, see http://www.gnu.org/licenses/.
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*/
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using System;
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using Microsoft.VisualStudio.TestTools.UnitTesting;
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namespace MPIR.Tests.HugeFloatTests
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{
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[TestClass]
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public class Comparisons
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{
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#region CompareTo
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[TestMethod]
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public void FloatCompareToHugeFloat()
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{
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using (var a = new HugeFloat("-22250983250345029834503.9835740293845721345345354"))
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using (var b = new HugeFloat("22250983250345029834502.9835740293845721345345354"))
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{
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Assert.AreEqual(1, Math.Sign(b.CompareTo(a)));
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, Math.Sign((a + 1).CompareTo(-b)));
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Assert.AreEqual(1, Math.Sign(a.CompareTo(null)));
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}
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}
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[TestMethod]
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public void FloatCompareToObject()
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{
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using (var a = new HugeFloat("-22250983250345029834503.9835740293845721345345354"))
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using (var b = new HugeFloat("22250983250345029834502.9835740293845721345345354"))
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{
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Assert.AreEqual(1, Math.Sign(((IComparable)b).CompareTo((object)a)));
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Assert.AreEqual(-1,Math.Sign(((IComparable)a).CompareTo((object)b)));
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Assert.AreEqual(1, Math.Sign(((IComparable)a).CompareTo(null)));
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Assert.AreEqual(0, Math.Sign(((IComparable)(a + 1)).CompareTo((object)-b)));
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}
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}
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[TestMethod]
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public void FloatCompareToExpression()
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{
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using (var a = new HugeFloat("-22250983250345029834503.9835740293845721345345354"))
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using (var b = new HugeFloat("22250983250345029834502.9835740293845721345345354"))
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{
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Assert.AreEqual(1, Math.Sign(((IComparable<FloatExpression>)b).CompareTo(a)));
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Assert.AreEqual(-1,Math.Sign(((IComparable<FloatExpression>)a).CompareTo(b)));
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Assert.AreEqual(1, Math.Sign(((IComparable<FloatExpression>)a).CompareTo(null)));
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Assert.AreEqual(0, Math.Sign(((IComparable<FloatExpression>)(a + 1)).CompareTo(-b)));
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}
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}
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[TestMethod]
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[ExpectedException(typeof(ArgumentException))]
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public void FloatCompareToNonExpression()
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{
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using (var a = new HugeFloat("-222509832503450298345029835740293845721.57898962467957"))
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{
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a.CompareTo("abc");
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}
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}
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[TestMethod]
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public void FloatCompareToLimb()
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{
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using (var a = new HugeFloat(Platform.Select("-22250982876541", "-222509821")))
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{
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var b = Platform.Ui(22250982876540, 222509820);
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, Math.Sign((-(a + 1)).CompareTo(b)));
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Assert.AreEqual(0, Math.Sign((-a).CompareTo(b + 1)));
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Assert.AreEqual(1, Math.Sign((-a).CompareTo(b)));
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}
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}
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[TestMethod]
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public void FloatCompareToSignedLimb()
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{
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using (var a = new HugeFloat(Platform.Select("-222509825551", "-222509821")))
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{
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var b = Platform.Si(-222509825550, -222509820);
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, Math.Sign((a + 1).CompareTo(b)));
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Assert.AreEqual(0, Math.Sign(a.CompareTo(b - 1)));
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Assert.AreEqual(1, Math.Sign(a.CompareTo(b - 2)));
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}
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}
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[TestMethod]
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public void FloatCompareToSignedDouble()
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{
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using (var a = new HugeFloat("-222509821"))
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{
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double b = -222509820;
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1,Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, Math.Sign((a + 1).CompareTo(b)));
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Assert.AreEqual(0, Math.Sign(a.CompareTo(b - 1)));
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Assert.AreEqual(1, Math.Sign(a.CompareTo(b - 1.1)));
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}
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}
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#endregion
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#region comparison operators with expr
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[TestMethod]
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public void FloatOperatorLessThan()
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{
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using (var a = new HugeFloat("-2225098325034502983450.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
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using (var c = new HugeFloat())
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{
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c.Value = a;
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Assert.IsTrue(a < b);
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Assert.IsFalse(b < a);
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Assert.IsFalse(a < c);
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Assert.IsFalse(a > c);
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Assert.IsFalse(a < null);
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Assert.IsTrue(null < a);
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}
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}
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[TestMethod]
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public void FloatOperatorLessThanOrEqual()
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{
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using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
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using (var c = new HugeFloat())
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{
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c.Value = a;
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Assert.IsTrue(a <= b);
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Assert.IsFalse(b <= a);
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Assert.IsTrue(a <= c);
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Assert.IsFalse(a <= null);
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Assert.IsTrue(null <= a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThan()
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{
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using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
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using (var c = new HugeFloat())
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{
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c.Value = a;
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Assert.IsFalse(a > b);
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Assert.IsTrue(b > a);
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Assert.IsFalse(a > c);
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Assert.IsTrue(a > null);
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Assert.IsFalse(null > a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanOrEqual()
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{
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using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
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using (var c = new HugeFloat())
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{
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c.Value = a;
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Assert.IsFalse(a >= b);
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Assert.IsTrue(b >= a);
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Assert.IsTrue(a >= c);
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Assert.IsTrue(a >= null);
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Assert.IsFalse(null >= a);
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}
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}
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#endregion
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#region comparison operators with limb
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[TestMethod]
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public void FloatOperatorLessThanLimb()
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{
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using (var a = new HugeFloat("3845721"))
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{
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ulong c = 5432;
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ulong b = 5432349587;
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Assert.IsTrue(a < b);
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Assert.IsFalse(b < a);
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Assert.IsFalse(a < c);
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Assert.IsTrue(c < a);
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}
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}
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[TestMethod]
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public void FloatOperatorLessThanOrEqualLimb()
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{
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using (var a = new HugeFloat("3845721"))
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{
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ulong c = 5432;
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ulong b = 5432349587;
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ulong d = 3845721;
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Assert.IsTrue(a <= b);
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Assert.IsFalse(b <= a);
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Assert.IsFalse(a <= c);
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Assert.IsTrue(c <= a);
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Assert.IsTrue(a <= d);
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Assert.IsTrue(d <= a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanLimb()
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{
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using (var a = new HugeFloat("3845721"))
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{
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ulong c = 5432;
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ulong b = 5432349587;
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Assert.IsFalse(a > b);
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Assert.IsTrue(b > a);
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Assert.IsTrue(a > c);
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Assert.IsFalse(c > a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanOrEqualLimb()
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{
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using (var a = new HugeFloat("3845721"))
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{
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ulong c = 5432;
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ulong b = 5432349587;
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ulong d = 3845721;
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Assert.IsFalse(a >= b);
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Assert.IsTrue(b >= a);
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Assert.IsTrue(a >= c);
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Assert.IsFalse(c >= a);
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Assert.IsTrue(a >= d);
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Assert.IsTrue(d >= a);
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}
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}
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#endregion
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#region comparison operators with signed limb
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[TestMethod]
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public void FloatOperatorLessThanSignedLimb()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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long c = -543254325432;
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long b = -9587;
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Assert.IsTrue(a < b);
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Assert.IsFalse(b < a);
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Assert.IsFalse(a < c);
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Assert.IsTrue(c < a);
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}
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}
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[TestMethod]
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public void FloatOperatorLessThanOrEqualSignedLimb()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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long c = -543254325432;
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long b = -9587;
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long d = -3845721;
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Assert.IsTrue(a <= b);
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Assert.IsFalse(b <= a);
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Assert.IsFalse(a <= c);
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Assert.IsTrue(c <= a);
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Assert.IsTrue(a <= d);
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Assert.IsTrue(d <= a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanSignedLimb()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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long c = -543254325432;
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long b = -9587;
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Assert.IsFalse(a > b);
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Assert.IsTrue(b > a);
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Assert.IsTrue(a > c);
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Assert.IsFalse(c > a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanOrEqualSignedLimb()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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long c = -543254325432;
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long b = -9587;
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long d = -3845721;
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Assert.IsFalse(a >= b);
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Assert.IsTrue(b >= a);
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Assert.IsTrue(a >= c);
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Assert.IsFalse(c >= a);
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Assert.IsTrue(a >= d);
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Assert.IsTrue(d >= a);
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}
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}
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#endregion
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#region comparison operators with double
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[TestMethod]
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public void FloatOperatorLessThanDouble()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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double c = -543254325432;
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double b = -9587;
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Assert.IsTrue(a < b);
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Assert.IsFalse(b < a);
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Assert.IsFalse(a < c);
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Assert.IsTrue(c < a);
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}
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}
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[TestMethod]
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public void FloatOperatorLessThanOrEqualDouble()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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double c = -543254325432;
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double b = -9587;
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double d = -3845721;
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Assert.IsTrue(a <= b);
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Assert.IsFalse(b <= a);
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Assert.IsFalse(a <= c);
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Assert.IsTrue(c <= a);
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Assert.IsTrue(a <= d);
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Assert.IsTrue(d <= a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanDouble()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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double c = -543254325432;
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double b = -9587;
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Assert.IsFalse(a > b);
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Assert.IsTrue(b > a);
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Assert.IsTrue(a > c);
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Assert.IsFalse(c > a);
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}
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}
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[TestMethod]
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public void FloatOperatorGreaterThanOrEqualDouble()
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{
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using (var a = new HugeFloat("-3845721"))
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{
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double c = -543254325432;
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double b = -9587;
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double d = -3845721;
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Assert.IsFalse(a >= b);
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Assert.IsTrue(b >= a);
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Assert.IsTrue(a >= c);
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Assert.IsFalse(c >= a);
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Assert.IsTrue(a >= d);
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Assert.IsTrue(d >= a);
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Assert.IsFalse(d - 0.1 >= a);
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}
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}
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#endregion
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#region Equals
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[TestMethod]
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public void FloatEqualsHugeFloat()
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{
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using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
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{
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Assert.IsFalse(b.Equals(a));
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Assert.IsFalse(a.Equals(b + 1));
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Assert.IsTrue((a + 1).Equals(-b));
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Assert.IsFalse(a.Equals(null));
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Assert.IsTrue(Equals(a + 1, -b));
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}
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}
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[TestMethod]
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public void FloatEqualsExpression()
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{
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using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
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{
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Assert.IsFalse(((IEquatable<FloatExpression>)b).Equals(a));
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Assert.IsFalse(((IEquatable<FloatExpression>)a).Equals(b));
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Assert.IsFalse(((IEquatable<FloatExpression>)a).Equals(null));
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Assert.IsTrue(((IEquatable<FloatExpression>)(a + 1)).Equals(-b));
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}
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}
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[TestMethod]
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public void FloatEqualsNonExpression()
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{
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using (var a = new HugeFloat("-2225098325034502983450.29835740293845721"))
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{
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Assert.IsFalse(a.Equals("abc"));
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}
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}
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[TestMethod]
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public void FloatEqualsLimb()
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{
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using (var a = new HugeFloat(Platform.Select("222509832503", "2225098323")))
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{
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var b = Platform.Ui(222509832504, 2225098324);
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Assert.IsFalse(a.Equals(b + 1));
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Assert.IsTrue(a.Equals(b - 1));
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Assert.IsTrue((a + 1).Equals(b));
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}
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}
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[TestMethod]
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public void FloatEqualsSignedLimb()
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{
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using (var a = new HugeFloat(Platform.Select("-222509832505", "-222509835")))
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{
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var b = Platform.Si(-222509832504, -222509834);
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Assert.IsFalse(a.Equals(b + 1));
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Assert.IsTrue(a.Equals(b - 1));
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Assert.IsTrue((a + 1).Equals(b));
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}
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}
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[TestMethod]
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public void FloatEqualsDouble()
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{
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using (var a = new HugeFloat("-222509832505"))
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{
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double b = -222509832504;
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Assert.IsFalse(a.Equals(b + 1));
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Assert.IsTrue(a.Equals(b - 1));
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Assert.IsTrue((a + 1).Equals(b));
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Assert.IsFalse((a + 1).Equals(b + 0.1));
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}
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}
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[TestMethod]
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public void FloatEqualsHugeFloatApproximately()
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{
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using (var a = HugeFloat.Allocate(128))
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using (var b = HugeFloat.Allocate(128))
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{
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a.SetTo("ABCDEF12948576AB49587.ACD34EFB345", 16);
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b.SetTo("ABCDEF12948576AB49587.ACD34EFB245", 16);
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Assert.IsTrue(a.Equals(b, 119));
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Assert.IsFalse(a.Equals(b, 120));
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Assert.IsTrue(a.Equals(b - 1, 83));
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Assert.IsFalse(a.Equals(b - 1, 84));
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Assert.IsTrue((a + 512).Equals(b, 74));
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Assert.IsFalse((a + 512).Equals(b, 75));
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//same mantissa, different exponent should always return false
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Assert.IsFalse(a.Equals(a >> 1, 119));
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Assert.IsFalse(a.Equals(a << 1, 119));
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Assert.IsFalse(a.Equals(a * 2, 119));
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Assert.IsFalse(a.Equals(a / 2, 119));
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}
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}
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[TestMethod]
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public void FloatRelDiff()
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{
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using (var a = new HugeFloat("1234523549876.24935230589472305894245"))
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using (var b = new HugeFloat("1234523549541.45207354209357842979873"))
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{
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Assert.AreEqual(a.RelativeDifferenceFrom(b), (a - b).Abs() / a);
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Assert.AreNotEqual(a.RelativeDifferenceFrom(b), (a - b).Abs() / b);
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Assert.AreEqual(b.RelativeDifferenceFrom(a), (a - b).Abs() / b);
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Assert.AreNotEqual(b.RelativeDifferenceFrom(a), (a - b).Abs() / a);
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}
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}
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#endregion
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#region Equality operators with expr
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[TestMethod]
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public void FloatEqualsOperatorHugeFloat()
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{
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using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
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using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
|
|
{
|
|
Assert.IsFalse(b == a);
|
|
Assert.IsFalse(a == b + 1);
|
|
Assert.IsTrue(a + 1 == -b);
|
|
Assert.IsFalse(a == null);
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void FloatNotEqualOperatorHugeFloat()
|
|
{
|
|
using (var a = new HugeFloat("-2225098325034502983451.29835740293845721"))
|
|
using (var b = new HugeFloat("2225098325034502983450.29835740293845721"))
|
|
{
|
|
Assert.IsTrue(b != a);
|
|
Assert.IsTrue(a != b + 1);
|
|
Assert.IsFalse(a + 1 != -b);
|
|
Assert.IsTrue(a != null);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Equality operators with Limb
|
|
|
|
[TestMethod]
|
|
public void FloatEqualsOperatorLimb()
|
|
{
|
|
using (var a = new HugeFloat("-835740293845721"))
|
|
{
|
|
ulong b = 835740293845720;
|
|
Assert.IsFalse(b == a);
|
|
Assert.IsFalse(a == b + 1);
|
|
Assert.IsTrue(-(a + 1) == b);
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void FloatNotEqualOperatorLimb()
|
|
{
|
|
using (var a = new HugeFloat("-835740293845721"))
|
|
{
|
|
ulong b = 835740293845720;
|
|
Assert.IsTrue(b != a);
|
|
Assert.IsTrue(a != b + 1);
|
|
Assert.IsFalse(-(a + 1) != b);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Equality operators with Signed Limb
|
|
|
|
[TestMethod]
|
|
public void FloatEqualsOperatorSignedLimb()
|
|
{
|
|
using (var a = new HugeFloat("-835740293845721"))
|
|
{
|
|
long b = -835740293845720;
|
|
Assert.IsFalse(b == a);
|
|
Assert.IsFalse(a == b + 1);
|
|
Assert.IsTrue(a + 1 == b);
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void FloatNotEqualOperatorSignedLimb()
|
|
{
|
|
using (var a = new HugeFloat("-835740293845721"))
|
|
{
|
|
long b = -835740293845720;
|
|
Assert.IsTrue(b != a);
|
|
Assert.IsTrue(a != b + 1);
|
|
Assert.IsFalse(a + 1 != b);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Equality operators with Double
|
|
|
|
[TestMethod]
|
|
public void FloatEqualsOperatorDouble()
|
|
{
|
|
using (var a = new HugeFloat("-835740293845721"))
|
|
{
|
|
double b = -835740293845720;
|
|
Assert.IsFalse(b == a);
|
|
Assert.IsFalse(a == b + 1);
|
|
Assert.IsTrue(a + 1 == b);
|
|
Assert.IsFalse(a + 1 == b + 0.1);
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void FloatNotEqualOperatorDouble()
|
|
{
|
|
using (var a = new HugeFloat("-835740293845721"))
|
|
{
|
|
double b = -835740293845720;
|
|
Assert.IsTrue(b != a);
|
|
Assert.IsTrue(a != b + 1);
|
|
Assert.IsFalse(a + 1 != b);
|
|
Assert.IsTrue(a + 1 != b + 0.1);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region GetHashCode
|
|
|
|
[TestMethod]
|
|
public void FloatGetHashCodeTest()
|
|
{
|
|
using (var a = new HugeFloat("-2225098325034502983450298357.40293845721"))
|
|
{
|
|
Assert.AreNotEqual(0, a.GetHashCode());
|
|
Assert.AreEqual(a.GetHashCode(), (a + 0).GetHashCode());
|
|
Assert.AreNotEqual(a.GetHashCode(), (-a).GetHashCode());
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Sign
|
|
|
|
[TestMethod]
|
|
public void FloatSign()
|
|
{
|
|
using (var a = new HugeFloat("-22250983250345029834.502983574029384572134354"))
|
|
{
|
|
Assert.AreEqual(-1, a.Sign());
|
|
Assert.AreEqual(1, (-a).Sign());
|
|
Assert.AreEqual(0, (a-a).Sign());
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
//more tests coming here
|
|
}
|
|
}
|