ILSpy/ICSharpCode.Decompiler/IL/ControlFlow/SymbolicExecution.cs

// Copyright (c) 2011 AlphaSierraPapa for the SharpDevelop Team
// 
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// 
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// substantial portions of the Software.
// 
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// PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE
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using ICSharpCode.Decompiler.TypeSystem;
using ICSharpCode.Decompiler.Util;
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ICSharpCode.Decompiler.IL.ControlFlow
{
	/// <summary>
	/// This exception is thrown when we find something else than we expect from the C# compiler.
	/// This aborts the analysis and makes the whole transform fail.
	/// </summary>
	class SymbolicAnalysisFailedException : Exception
	{
		public SymbolicAnalysisFailedException() { }
		public SymbolicAnalysisFailedException(string message) : base(message) { }
	}

	enum SymbolicValueType
	{
		/// <summary>
		/// Unknown value
		/// </summary>
		Unknown,
		/// <summary>
		/// int: Constant (result of ldc.i4)
		/// </summary>
		IntegerConstant,
		/// <summary>
		/// int: State + Constant
		/// </summary>
		State,
		/// <summary>
		/// This pointer (result of ldarg.0)
		/// </summary>
		This,
		/// <summary>
		/// bool: ValueSet.Contains(State)
		/// </summary>
		StateInSet,
	}

	struct SymbolicValue
	{
		public readonly int Constant;
		public readonly SymbolicValueType Type;
		public readonly LongSet ValueSet;

		public SymbolicValue(SymbolicValueType type, int constant = 0)
		{
			this.Type = type;
			this.Constant = constant;
		}

		public SymbolicValue(SymbolicValueType type, LongSet valueSet)
		{
			this.Type = type;
			this.Constant = 0;
			this.ValueSet = valueSet;
		}

		public SymbolicValue AsBool()
		{
			if (Type == SymbolicValueType.State) {
				// convert state integer to bool:
				// if (state + c) = if (state + c != 0) = if (state != -c)
				return new SymbolicValue(SymbolicValueType.StateInSet, new LongSet(unchecked(-Constant)).Invert());
			}
			return this;
		}
		public override string ToString()
		{
			return string.Format("[SymbolicValue {0}: {1}]", this.Type, this.Constant);
		}
	}

	class SymbolicEvaluationContext
	{
		readonly IField stateField;
		readonly List<ILVariable> stateVariables = new List<ILVariable>();

		public SymbolicEvaluationContext(IField stateField)
		{
			this.stateField = stateField;
		}

		public void AddStateVariable(ILVariable v)
		{
			if (!stateVariables.Contains(v))
				stateVariables.Add(v);
		}
		
		public IEnumerable<ILVariable> StateVariables { get => stateVariables; }

		static readonly SymbolicValue Failed = new SymbolicValue(SymbolicValueType.Unknown);

		public SymbolicValue Eval(ILInstruction inst)
		{
			if (inst is BinaryNumericInstruction bni && bni.Operator == BinaryNumericOperator.Sub && !bni.CheckForOverflow) {
				var left = Eval(bni.Left);
				var right = Eval(bni.Right);
				if (left.Type != SymbolicValueType.State && left.Type != SymbolicValueType.IntegerConstant)
					return Failed;
				if (right.Type != SymbolicValueType.IntegerConstant)
					return Failed;
				return new SymbolicValue(left.Type, unchecked(left.Constant - right.Constant));
			} else if (inst.MatchLdFld(out var target, out var field)) {
				if (Eval(target).Type != SymbolicValueType.This)
					return Failed;
				if (field.MemberDefinition != stateField)
					return Failed;
				return new SymbolicValue(SymbolicValueType.State);
			} else if (inst.MatchLdLoc(out var loadedVariable)) {
				if (stateVariables.Contains(loadedVariable))
					return new SymbolicValue(SymbolicValueType.State);
				else if (loadedVariable.Kind == VariableKind.Parameter && loadedVariable.Index < 0)
					return new SymbolicValue(SymbolicValueType.This);
				else
					return Failed;
			} else if (inst.MatchLdcI4(out var value)) {
				return new SymbolicValue(SymbolicValueType.IntegerConstant, value);
			} else if (inst is Comp comp) {
				var left = Eval(comp.Left);
				var right = Eval(comp.Right);
				if (left.Type == SymbolicValueType.State && right.Type == SymbolicValueType.IntegerConstant) {
					// bool: (state + left.Constant == right.Constant)
					LongSet trueSums = SwitchAnalysis.MakeSetWhereComparisonIsTrue(comp.Kind, right.Constant, comp.Sign);
					// symbolic value is true iff trueSums.Contains(state + left.Constant)
					LongSet trueStates = trueSums.AddOffset(unchecked(-left.Constant));
					// symbolic value is true iff trueStates.Contains(state)
					return new SymbolicValue(SymbolicValueType.StateInSet, trueStates);
				} else if (left.Type == SymbolicValueType.StateInSet && right.Type == SymbolicValueType.IntegerConstant) {
					if (comp.Kind == ComparisonKind.Equality && right.Constant == 0) {
						// comp((x in set) == 0) ==> x not in set
						return new SymbolicValue(SymbolicValueType.StateInSet, left.ValueSet.Invert());
					} else if (comp.Kind == ComparisonKind.Inequality && right.Constant != 0) {
						// comp((x in set) != 0) => x in set
						return new SymbolicValue(SymbolicValueType.StateInSet, left.ValueSet);
					} else {
						return Failed;
					}
				} else {
					return Failed;
				}
			} else {
				return Failed;
			}
		}
	}
}