Use a second path for rewritting query path

.gitignore

@@ -363,4 +363,6 @@ MigrationBackup/
 FodyWeavers.xsd
 
 # Received verify test results
-*.received.*
+*.received.*
+
+.idea

src/EntityFrameworkCore.Projectables/Services/ProjectableExpressionReplacer.cs

@@ -1,10 +1,10 @@
-using System;
-using System.Collections.Generic;
+using System.Collections.Generic;
 using System.Diagnostics.CodeAnalysis;
 using System.Linq;
 using System.Linq.Expressions;
 using System.Reflection;
 using EntityFrameworkCore.Projectables.Extensions;
+using Microsoft.EntityFrameworkCore.Metadata;
 using Microsoft.EntityFrameworkCore.Query;
 
 namespace EntityFrameworkCore.Projectables.Services
@@ -13,11 +13,15 @@ namespace EntityFrameworkCore.Projectables.Services
     {
         readonly IProjectionExpressionResolver _resolver;
         readonly ExpressionArgumentReplacer _expressionArgumentReplacer = new();
+        readonly QueryRootReplacer _queryRootReplacer;
         readonly Dictionary<MemberInfo, LambdaExpression?> _projectableMemberCache = new();
+        private bool _disableRootRewrite = false;
+        private IEntityType? _entityType;
 
         public ProjectableExpressionReplacer(IProjectionExpressionResolver projectionExpressionResolver)
         {
             _resolver = projectionExpressionResolver;
+            _queryRootReplacer = new(_resolver);
         }
 
         bool TryGetReflectedExpression(MemberInfo memberInfo, [NotNullWhen(true)] out LambdaExpression? reflectedExpression)
@@ -36,11 +40,42 @@ namespace EntityFrameworkCore.Projectables.Services
             return reflectedExpression is not null;
         }
 
+        [return: NotNullIfNotNull(nameof(node))]
+        public override Expression? Visit(Expression? node)
+        {
+            var ret = base.Visit(node);
+
+            if (_disableRootRewrite)
+            {
+                return ret;
+            }
+
+            switch (node)
+            {
+                // Probably a First() or ToList()
+                case MethodCallExpression { Arguments.Count: > 0 } call when _entityType != null:
+                {
+                    var self = _AddProjectableSelect(call.Arguments.First(), _entityType);
+                    return call.Update(null, call.Arguments.Skip(1).Prepend(self));
+                }
+                // Probably a foreach call
+                case QueryRootExpression root:
+                    return _AddProjectableSelect(root, root.EntityType);
+                default:
+                    return ret;
+            }
+        }
+
         protected override Expression VisitMethodCall(MethodCallExpression node)
         {
             // Get the overriding methodInfo based on te type of the received of this expression
             var methodInfo = node.Object?.Type.GetConcreteMethod(node.Method) ?? node.Method;
 
+            if (methodInfo.Name == nameof(Queryable.Select))
+            {
+                _disableRootRewrite = true;
+            }
+
             if (TryGetReflectedExpression(methodInfo, out var reflectedExpression))
             {
                 for (var parameterIndex = 0; parameterIndex < reflectedExpression.Parameters.Count; parameterIndex++)
@@ -110,12 +145,16 @@ namespace EntityFrameworkCore.Projectables.Services
 
         protected override Expression VisitExtension(Expression node)
         {
-            if (node is not QueryRootExpression root)
+            if (node is QueryRootExpression root)
             {
-                return node;
+                _entityType = root.EntityType;
             }
+            return base.VisitExtension(node);
+        }
 
-            var projectableProperties = root.EntityType.ClrType.GetProperties()
+        private Expression _AddProjectableSelect(Expression node, IEntityType entityType)
+        {
+            var projectableProperties = entityType.ClrType.GetProperties()
                 .Where(x => x.IsDefined(typeof(ProjectableAttribute), false))
                 .Where(x => x.CanWrite)
                 .ToList();
@@ -125,7 +164,7 @@ namespace EntityFrameworkCore.Projectables.Services
                 return node;
             }
 
-            var properties = root.EntityType.GetProperties()
+            var properties = entityType.GetProperties()
                 .Where(x => !x.IsShadowProperty())
                 .Select(x => x.GetMemberInfo(false, false))
                 // Remove projectable properties from the ef properties. Since properties returned here for auto
@@ -140,15 +179,15 @@ namespace EntityFrameworkCore.Projectables.Services
                         .GetGenericArguments().First() // Func<T, Ret>
                         .GetGenericArguments().Length == 2 // Separate between Func<T, Ret> and Func<T, int, Ret>
                 )
-                .MakeGenericMethod(root.EntityType.ClrType, root.EntityType.ClrType);
-            var xParam = Expression.Parameter(root.EntityType.ClrType);
+                .MakeGenericMethod(entityType.ClrType, entityType.ClrType);
+            var xParam = Expression.Parameter(entityType.ClrType);
             return Expression.Call(
                 null,
                 select,
                 node,
                 Expression.Lambda(
                     Expression.MemberInit(
-                        Expression.New(root.EntityType.ClrType),
+                        Expression.New(entityType.ClrType),
                         properties.Select(x => Expression.Bind(x, Expression.MakeMemberAccess(xParam, x)))
                             .Concat(projectableProperties
                                 .Select(x => Expression.Bind(x, _ReplaceParam(_resolver.FindGeneratedExpression(x), xParam)))