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| Var(x) -> env.[x] | Double(n) -> (n,Err(0.0)) | _ -> failwithf "unrecognized term: %A" t let rec errorEstimateRaw (t : Expr) = match t with | Lambda(x,t) -> (fun xv -> errorEstimateAux t (Map.of_seq [(x.Name,xv)])) | ResolvedTopDefnUse(info,body) -> errorEstimateRaw body | _ -> failwithf "unrecognized term: %A - expected a lambda" t let errorEstimate (t : Expr<float -> float>) = errorEstimateRaw t.Raw The inferred types of the functions are as follows: val errorEstimateAux : Expr -> Map<ExprVarName,(float * Error)> -> float * Error val errorEstimateRaw : Expr -> (float * Error -> float * Error) val errorEstimate : Expr<(float -> float)> -> (float * Error -> float * Error) That is, errorEstimate is a function that takes an expression for a float -> float function and returns a function value of type float * Error -> float * Error. Let s see it in action, though. First we define the prefix function ( ) and a pretty-printer for float * Error pairs, here using the Unicode symbol for error bounds on a value: > let ( ) x = Err(x);; val : float -> Error > fsi.AddPrinter (fun (x:float,Err(v)) -> sprintf "%g %g" x v);; val it : unit = () > errorEstimate <@ fun x -> x+2.0*x+3.0*x*x @> (1.0, 0.1);; val it : float * Error = 6 0.61 > errorEstimate <@ fun x -> let y = x + x in y*y + 2.0 @> (1.0, 0.1);; val it : float * Error = 6 0.84 The key aspects of the implementation of errorEstimate are as follows:

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Figure 12-1. A set of tables to update within a transaction So for the sample scenarios, your transaction will be composed of the following steps: 1. Create a new order for the customer in the order table 2. For each order item, decrease the on-hand amount for the item by the quantity being ordered. 3. Audit the attempt to secure the quantity. 4. Create an order item for the order. If there is not enough on hand for any item in the order, then the transaction should roll back. However, the audits should succeed whether the order is created or not. Here s the method to create the order. (See XAction.cs in the App_Code directory of the Web12 project.) public void AddOrder(int orderId, int customerID, DateTime orderDate) { using (TransactionScope tx = new TransactionScope(TransactionScopeOption.Required)) { string sql = "INSERT INTO [Order](OrderID, CustomerID, OrderDate) " + "VALUES (@orderID, @customerID, @orderDate)"; SqlConnection cn = new SqlConnection(connStr); SqlCommand cm = new SqlCommand(sql, cn); cm.Parameters.Add(new SqlParameter("@orderId", SqlDbType.Int)).Value = orderId; cm.Parameters.Add(new SqlParameter("@customerID", SqlDbType.Int)).Value = customerID; cm.Parameters.Add(new SqlParameter("@orderDate", SqlDbType.DateTime)).Value = orderDate;

Let s begin by creating an object type containing a reference: benchmark@ORA10G> create type emp_ref_type as object 2 ( 3 emp_no number, 4 name varchar2(20), 5 manager ref emp_ref_type 6 ); 7 / Type created. As shown, we have an object type emp_ref_type with the attribute manager (shown in bold) as a reference of type emp_ref_type. This means that the manager attribute can hold a reference to (or point to) a row of type emp_ref_type in a table. Next, we create a table of this reference type and insert the first row corresponding to the CEO of the company, Larry. Notice that the value corresponding to the reference column manager is null, as this is the only row in the table at this point of time and a reference has to point to an existing table row. In other words, no one else manages Larry! benchmark@ORA10G> create table emp_table_with_ref of emp_ref_type; Table created. benchmark@ORA10G> insert into emp_table_with_ref values( 1, 'Larry', null ); 1 row created. Now, we will add a second row for an employee named John, who works for Larry. The manager reference corresponding to John s row in the table points to Larry s row in the table. Notice how we create an object of type emp_ref_type and initialize the manager attribute by using the function ref(). The ref() function takes as its argument a table alias associated with a row of an object table or an object view, and returns a ref value for the object that is bound to the table row. benchmark@ORA10G> insert into emp_table_with_ref 2 select emp_ref_type( 2, 'John', ref(e)) 3 from emp_table_with_ref e 4 where emp_no = 1; 1 row created.

System.Data.SqlClient System.Data.OleDb System.Data.OracleClient System.Data.Odbc Npgsql MySql.Data.MySqlClient