691 lines
23 KiB
C#
691 lines
23 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.HugeIntTests
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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 IntCompareToHugeInt()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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{
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Assert.AreEqual(1, System.Math.Sign(b.CompareTo(a)));
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, System.Math.Sign((a + 1).CompareTo(-b)));
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Assert.AreEqual(1, System.Math.Sign(a.CompareTo(null)));
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}
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}
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[TestMethod]
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public void IntCompareToObject()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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{
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Assert.AreEqual(1, System.Math.Sign(((IComparable)b).CompareTo((object)a)));
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Assert.AreEqual(-1, System.Math.Sign(((IComparable)a).CompareTo((object)b)));
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Assert.AreEqual(1, System.Math.Sign(((IComparable)a).CompareTo(null)));
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Assert.AreEqual(0, System.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 IntCompareToExpression()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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{
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Assert.AreEqual(1, System.Math.Sign(((IComparable<IntegerExpression>)b).CompareTo(a)));
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Assert.AreEqual(-1, System.Math.Sign(((IComparable<IntegerExpression>)a).CompareTo(b)));
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Assert.AreEqual(1, System.Math.Sign(((IComparable<IntegerExpression>)a).CompareTo(null)));
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Assert.AreEqual(0, System.Math.Sign(((IComparable<IntegerExpression>)(a + 1)).CompareTo(-b)));
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}
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}
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[TestMethod]
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public void IntCompareToHugeFloatExpression()
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{
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var previousPrecision = HugeFloat.DefaultPrecision;
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HugeFloat.DefaultPrecision = 256;
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using (var a = new HugeInt("-222509832503450298345039835740293845721345345354"))
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using (var b = new HugeFloat("222509832503450298345039835740293845721345345353"))
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{
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(-b)));
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Assert.AreEqual(0, System.Math.Sign(a.CompareTo(-b - 1)));
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Assert.AreEqual(1, System.Math.Sign(a.CompareTo(-b - 2)));
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Assert.AreEqual(-1, System.Math.Sign((a + 1).CompareTo(b)));
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Assert.AreEqual(0, System.Math.Sign((a + 1).CompareTo(-b)));
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Assert.AreEqual(-1, System.Math.Sign((a + 1).CompareTo(1 - b)));
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Assert.AreEqual(1, System.Math.Sign((a + 1).CompareTo(-b - 1)));
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}
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HugeFloat.DefaultPrecision = previousPrecision;
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}
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[TestMethod]
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[ExpectedException(typeof(ArgumentException))]
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public void IntCompareToNonExpression()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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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 IntCompareToLimb()
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{
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using (var a = new HugeInt("-222509821"))
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{
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var b = Platform.Ui(222509820, 222509820);
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, System.Math.Sign((-(a + 1)).CompareTo(b)));
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Assert.AreEqual(1, System.Math.Sign((-a).CompareTo(b)));
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}
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}
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[TestMethod]
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public void IntCompareToSignedLimb()
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{
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using (var a = new HugeInt("-222509821"))
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{
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var b = Platform.Si(-222509820, -222509820);
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, System.Math.Sign((a + 1).CompareTo(b)));
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Assert.AreEqual(0, System.Math.Sign(a.CompareTo(b - 1)));
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Assert.AreEqual(1, System.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 IntCompareToSignedDouble()
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{
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using (var a = new HugeInt("-222509821"))
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{
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double b = -222509820;
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b)));
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Assert.AreEqual(-1, System.Math.Sign(a.CompareTo(b + 1)));
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Assert.AreEqual(0, System.Math.Sign((a + 1).CompareTo(b)));
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Assert.AreEqual(0, System.Math.Sign(a.CompareTo(b - 1)));
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Assert.AreEqual(1, System.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 IntOperatorLessThan()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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using (var c = new HugeInt())
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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 < 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 IntOperatorLessThanOrEqual()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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using (var c = new HugeInt())
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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 IntOperatorGreaterThan()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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using (var c = new HugeInt())
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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 IntOperatorGreaterThanOrEqual()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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using (var c = new HugeInt())
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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 IntOperatorLessThanLimb()
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{
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using (var a = new HugeInt("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 IntOperatorLessThanOrEqualLimb()
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{
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using (var a = new HugeInt("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 IntOperatorGreaterThanLimb()
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{
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using (var a = new HugeInt("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 IntOperatorGreaterThanOrEqualLimb()
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{
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using (var a = new HugeInt("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 IntOperatorLessThanSignedLimb()
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{
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using (var a = new HugeInt("-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 IntOperatorLessThanOrEqualSignedLimb()
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{
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using (var a = new HugeInt("-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 IntOperatorGreaterThanSignedLimb()
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{
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using (var a = new HugeInt("-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 IntOperatorGreaterThanOrEqualSignedLimb()
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{
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using (var a = new HugeInt("-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 IntOperatorLessThanDouble()
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{
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using (var a = new HugeInt("-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 IntOperatorLessThanOrEqualDouble()
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{
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using (var a = new HugeInt("-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 IntOperatorGreaterThanDouble()
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{
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using (var a = new HugeInt("-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 IntOperatorGreaterThanOrEqualDouble()
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{
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using (var a = new HugeInt("-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 IntEqualsHugeInt()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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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 IntEqualsExpression()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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{
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Assert.IsFalse(((IEquatable<IntegerExpression>)b).Equals(a));
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Assert.IsFalse(((IEquatable<IntegerExpression>)a).Equals(b));
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Assert.IsFalse(((IEquatable<IntegerExpression>)a).Equals(null));
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Assert.IsTrue(((IEquatable<IntegerExpression>)(a + 1)).Equals(-b));
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}
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}
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[TestMethod]
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public void IntEqualsNonExpression()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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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 IntEqualsLimb()
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{
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var source = Platform.Select("222509832503", "2225032503");
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var b = Platform.Ui(222509832504, 2225032504);
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using (var a = new HugeInt(source))
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{
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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 IntEqualsSignedLimb()
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{
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var source = Platform.Select("-222509832505", "-225032505");
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var b = Platform.Si(-222509832504, -225032504);
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using (var a = new HugeInt(source))
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{
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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 IntEqualsDouble()
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{
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using (var a = new HugeInt("-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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#endregion
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#region Equality operators with expr
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[TestMethod]
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public void IntEqualsOperatorHugeInt()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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{
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Assert.IsFalse(b == a);
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Assert.IsFalse(a == b + 1);
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Assert.IsTrue(a + 1 == -b);
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Assert.IsFalse(a == null);
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}
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}
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[TestMethod]
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public void IntNotEqualOperatorHugeInt()
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{
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using (var a = new HugeInt("-222509832503450298345029835740293845721"))
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using (var b = new HugeInt("222509832503450298345029835740293845720"))
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{
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Assert.IsTrue(b != a);
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Assert.IsTrue(a != b + 1);
|
|
Assert.IsFalse(a + 1 != -b);
|
|
Assert.IsTrue(a != null);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Equality operators with Limb
|
|
|
|
[TestMethod]
|
|
public void IntEqualsOperatorLimb()
|
|
{
|
|
using (var a = new HugeInt("-835740293845721"))
|
|
{
|
|
ulong b = 835740293845720;
|
|
Assert.IsFalse(b == a);
|
|
Assert.IsFalse(a == b + 1);
|
|
Assert.IsTrue(-(a + 1) == b);
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void IntNotEqualOperatorLimb()
|
|
{
|
|
using (var a = new HugeInt("-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 IntEqualsOperatorSignedLimb()
|
|
{
|
|
using (var a = new HugeInt("-835740293845721"))
|
|
{
|
|
long b = -835740293845720;
|
|
Assert.IsFalse(b == a);
|
|
Assert.IsFalse(a == b + 1);
|
|
Assert.IsTrue(a + 1 == b);
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void IntNotEqualOperatorSignedLimb()
|
|
{
|
|
using (var a = new HugeInt("-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 IntEqualsOperatorDouble()
|
|
{
|
|
using (var a = new HugeInt("-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 IntNotEqualOperatorDouble()
|
|
{
|
|
using (var a = new HugeInt("-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 IntGetHashCodeTest()
|
|
{
|
|
using (var a = new HugeInt("-222509832503450298345029835740293845721"))
|
|
{
|
|
Assert.AreNotEqual(0, a.GetHashCode());
|
|
Assert.AreEqual(a.GetHashCode(), (a + 0).GetHashCode());
|
|
Assert.AreNotEqual(a.GetHashCode(), (-a).GetHashCode());
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region CompareAbsTo
|
|
|
|
[TestMethod]
|
|
public void IntCompareAbsToHugeInt()
|
|
{
|
|
using (var a = new HugeInt("-222509832503450298345029835740293845721"))
|
|
using (var b = new HugeInt("222509832503450298345029835740293845720"))
|
|
{
|
|
Assert.AreEqual(1, System.Math.Sign(a.CompareAbsTo(b)));
|
|
Assert.AreEqual(-1, System.Math.Sign(b.CompareAbsTo(a)));
|
|
Assert.AreEqual(0, System.Math.Sign(a.CompareAbsTo(b + 1)));
|
|
Assert.AreEqual(0, System.Math.Sign((a + 1).CompareAbsTo(b)));
|
|
Assert.AreEqual(0, System.Math.Sign((a + 1).CompareAbsTo(-b)));
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void IntCompareAbsToLimb()
|
|
{
|
|
using (var a = new HugeInt("-222509821"))
|
|
{
|
|
ulong b = 222509820;
|
|
Assert.AreEqual(1, System.Math.Sign(a.CompareAbsTo(b)));
|
|
Assert.AreEqual(0, System.Math.Sign(a.CompareAbsTo(b + 1)));
|
|
Assert.AreEqual(0, System.Math.Sign((-a).CompareAbsTo(b + 1)));
|
|
Assert.AreEqual(0, System.Math.Sign((a + 1).CompareAbsTo(b)));
|
|
Assert.AreEqual(1, System.Math.Sign(a.CompareAbsTo(b)));
|
|
Assert.AreEqual(1, System.Math.Sign((-a).CompareAbsTo(b)));
|
|
}
|
|
}
|
|
|
|
[TestMethod]
|
|
public void IntCompareAbsToDouble()
|
|
{
|
|
using (var a = new HugeInt("-222509821"))
|
|
{
|
|
double b = 222509820;
|
|
Assert.AreEqual(1, System.Math.Sign(a.CompareAbsTo(b)));
|
|
Assert.AreEqual(0, System.Math.Sign(a.CompareAbsTo(b + 1)));
|
|
Assert.AreEqual(0, System.Math.Sign((-a).CompareAbsTo(b + 1)));
|
|
Assert.AreEqual(0, System.Math.Sign((a + 1).CompareAbsTo(b)));
|
|
Assert.AreEqual(0, System.Math.Sign((a + 1).CompareAbsTo(-b)));
|
|
Assert.AreEqual(1, System.Math.Sign((a + 1).CompareAbsTo(b - 0.1)));
|
|
Assert.AreEqual(1, System.Math.Sign(a.CompareAbsTo(b)));
|
|
Assert.AreEqual(1, System.Math.Sign((-a).CompareAbsTo(b)));
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Sign
|
|
|
|
[TestMethod]
|
|
public void IntSign()
|
|
{
|
|
using (var a = new HugeInt("-222509832503450298345029835740293845721"))
|
|
{
|
|
Assert.AreEqual(-1, a.Sign());
|
|
Assert.AreEqual(1, (-a).Sign());
|
|
Assert.AreEqual(0, (a-a).Sign());
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
//more tests coming here
|
|
}
|
|
}
|