public void BinaryOperatorOverloadResolution(BinaryOperatorKind kind, BoundExpression left, BoundExpression right, BinaryOperatorOverloadResolutionResult result)
        {
            Debug.Assert(left != null);
            Debug.Assert(right != null);
            Debug.Assert(result.Results.Count == 0);

            // We can do a table lookup for well-known problems in overload resolution.

            BinaryOperatorEasyOut(kind, left, right, result);
            if (result.Results.Count > 0)
            {
                return;
            }

            // The following is a slight rewording of the specification to emphasize that not all
            // operands of a binary operation need to have a type.

            // SPEC: An operation of the form x op y, where op is an overloadable binary operator is processed as follows:
            // SPEC: The set of candidate user-defined operators provided by the types (if any) of x and y for the 
            // SPEC operation operator op(x, y) is determined. 

            GetUserDefinedOperators(kind, left, right, result.Results);

            // SPEC: If the set of candidate user-defined operators is not empty, then this becomes the set of candidate 
            // SPEC: operators for the operation. Otherwise, the predefined binary operator op implementations, including 
            // SPEC: their lifted forms, become the set of candidate operators for the operation. 

            if (!result.AnyValid())
            {
                GetAllBuiltInOperators(kind, left, right, result.Results);
            }

            // SPEC: The overload resolution rules of 7.5.3 are applied to the set of candidate operators to select the best 
            // SPEC: operator with respect to the argument list (x, y), and this operator becomes the result of the overload 
            // SPEC: resolution process. If overload resolution fails to select a single best operator, a binding-time 
            // SPEC: error occurs.

            BinaryOperatorOverloadResolution(left, right, result);
        }
        private void BinaryOperatorEasyOut(BinaryOperatorKind kind, BoundExpression left, BoundExpression right, BinaryOperatorOverloadResolutionResult result)
        {
            var leftType = left.Type;
            if (leftType == null)
            {
                return;
            }

            var rightType = right.Type;
            if (rightType == null)
            {
                return;
            }

            if (PossiblyUnusualConstantOperation(left, right))
            {
                return;
            }

            var easyOut = BinopEasyOut.OpKind(kind, leftType, rightType);

            if (easyOut == BinaryOperatorKind.Error)
            {
                return;
            }

            BinaryOperatorSignature signature = this.Compilation.builtInOperators.GetSignature(easyOut);

            Conversion? leftConversion = Conversions.FastClassifyConversion(left.Type, signature.LeftType);
            Conversion? rightConversion = Conversions.FastClassifyConversion(right.Type, signature.RightType);

            Debug.Assert(leftConversion.HasValue && leftConversion.Value.IsImplicit);
            Debug.Assert(rightConversion.HasValue && rightConversion.Value.IsImplicit);

            result.Results.Add(BinaryOperatorAnalysisResult.Applicable(signature, leftConversion.Value, rightConversion.Value));
        }
        // Takes a list of candidates and mutates the list to throw out the ones that are worse than
        // another applicable candidate.
        private void BinaryOperatorOverloadResolution(
            BoundExpression left,
            BoundExpression right,
            BinaryOperatorOverloadResolutionResult result
            )
        {
            // SPEC: Given the set of applicable candidate function members, the best function member in that set is located. 
            // SPEC: If the set contains only one function member, then that function member is the best function member. 

            if (result.GetValidCount() == 1)
            {
                return;
            }

            // SPEC: Otherwise, the best function member is the one function member that is better than all other function 
            // SPEC: members with respect to the given argument list, provided that each function member is compared to all 
            // SPEC: other function members using the rules in 7.5.3.2. If there is not exactly one function member that is 
            // SPEC: better than all other function members, then the function member invocation is ambiguous and a binding-time 
            // SPEC: error occurs.

            // UNDONE: This is a naive quadratic algorithm; there is a linear algorithm that works. Consider using it.
            var candidates = result.Results;
            for (int i = 0; i < candidates.Count; ++i)
            {
                if (candidates[i].Kind != OperatorAnalysisResultKind.Applicable)
                {
                    continue;
                }

                // Is this applicable operator better than every other applicable method?
                for (int j = 0; j < candidates.Count; ++j)
                {
                    if (i == j)
                    {
                        continue;
                    }
                    if (candidates[j].Kind == OperatorAnalysisResultKind.Inapplicable)
                    {
                        continue;
                    }
                    var better = BetterOperator(candidates[i].Signature, candidates[j].Signature, left, right);
                    if (better == BetterResult.Left)
                    {
                        candidates[j] = candidates[j].Worse();
                    }
                    else if (better == BetterResult.Right)
                    {
                        candidates[i] = candidates[i].Worse();
                    }
                }
            }
        }