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//
// IntervalContextBase.cs
//
// Authors:
// Alexander Chebaturkin (chebaturkin@gmail.com)
//
// Copyright (C) 2012 Alexander Chebaturkin
//
// Permission is hereby granted, free of charge, to any person obtaining
// a copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to
// the following conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
//
using System;
using Mono.CodeContracts.Static.Lattices;
namespace Mono.CodeContracts.Static.Analysis.Numerical {
abstract class IntervalContextBase<TInterval, TNumeric>
where TInterval : IntervalBase<TInterval, TNumeric> {
/// <summary>
/// (-oo, +oo)
/// </summary>
public abstract TInterval TopValue { get; }
/// <summary>
/// Empty set of values
/// </summary>
public abstract TInterval BottomValue { get; }
/// <summary>
/// [0, 0]
/// </summary>
public abstract TInterval Zero { get; }
/// <summary>
/// [1, 1]
/// </summary>
public abstract TInterval One { get; }
/// <summary>
/// [0, +oo)
/// </summary>
public abstract TInterval Positive { get; }
/// <summary>
/// (-oo, 0]
/// </summary>
public abstract TInterval Negative { get; }
/// <summary>
/// [-1, +oo)
/// </summary>
public abstract TInterval GreaterEqualThanMinusOne { get; }
public abstract TInterval For (long value);
public abstract TInterval For (long lower, long upper);
public abstract TInterval For (long lower, TNumeric upper);
public abstract TInterval For (TNumeric lower, long upper);
public abstract TInterval For (TNumeric value);
public abstract TInterval For (TNumeric lower, TNumeric upper);
public abstract bool IsGreaterThanZero (TNumeric value);
public abstract bool IsGreaterEqualThanZero (TNumeric value);
public abstract bool IsLessThanZero (TNumeric value);
public abstract bool IsLessEqualThanZero (TNumeric value);
public abstract bool IsLessEqualThanZero (TInterval value);
public abstract bool IsLessThan (TNumeric a, TNumeric b);
public abstract bool IsLessEqualThan (TNumeric a, TNumeric b);
public abstract bool IsZero (TNumeric value);
public abstract bool IsNotZero (TNumeric value);
public abstract bool IsPlusInfinity (TNumeric value);
public abstract bool IsMinusInfinity (TNumeric value);
public abstract bool AreEqual (TNumeric a, TNumeric b);
public abstract TInterval Add (TInterval a, TInterval b);
public abstract TInterval Sub (TInterval a, TInterval b);
public abstract TInterval Div (TInterval a, TInterval b);
public abstract TInterval Rem (TInterval a, TInterval b);
public abstract TInterval Mul (TInterval a, TInterval b);
public abstract TInterval Not (TInterval value);
public abstract TInterval UnaryMinus (TInterval value);
public abstract TInterval ApplyConversion (ExpressionOperator conv, TInterval intv);
public virtual FlatDomain<bool> IsLessThan (TInterval a, TInterval b)
{
if (a.IsNormal () || b.IsNormal ())
return ProofOutcome.Top;
if (IsLessThan (a.UpperBound, b.LowerBound))
return true;
if (IsLessEqualThan (b.UpperBound, a.LowerBound))
return false;
return ProofOutcome.Top;
}
public virtual FlatDomain<bool> IsLessEqualThan (TInterval a, TInterval b)
{
if (a.IsNormal () || b.IsNormal ())
return ProofOutcome.Top;
if (IsLessEqualThan (a.UpperBound, b.LowerBound))
return true;
if (IsLessThan (b.UpperBound, a.LowerBound))
return false;
return ProofOutcome.Top;
}
public virtual FlatDomain<bool> IsEqualThan (TInterval a, TInterval b)
{
throw new NotImplementedException ();
}
public abstract bool IsMaxInt32 (TInterval value);
public abstract TInterval RightOpen (TNumeric lowerBound);
public abstract TInterval LeftOpen (TNumeric lowerBound);
}
}
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