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> (v.DX, v.DY);; val it : float * float = (4.330127019, 2.5) > (v.Length, v.Angle);; val it : float * float = (5.0, 0.523598775) Adjusting the Angle property rotates the vector while maintaining its overall length. This example uses the long syntax for properties, where you specify both set and get operations for the property. If the type has an indexer (Item) property, then you write an indexed setter as follows: open System.Collections.Generic type IntegerMatrix(rows:int, cols:int)= let elems = Array2D.zeroCreate<int> rows cols /// This defines an indexer property with getter and setter member t.Item with get (idx1,idx2) = elems.[idx1, idx2] and set (idx1,idx2) v = elems.[idx1, idx2] <- v

Note Tools are available that you can run at compile time (or earlier). These tools help minimize the risk

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Listing 7-3. Protecting a Table Using Accessibility Annotations open System module public VisitorCredentials = /// The internal table of permitted visitors and the /// days they are allowed to visit. let private visitorTable = dict [ ("Anna", set [DayOfWeek.Tuesday; DayOfWeek.Wednesday]); ("Carolyn", set [DayOfWeek.Friday]) ] /// This is the function to check if a person is a permitted visitor. /// Note: this is public and can be used by external code let public Check(person) = visitorTable.ContainsKey(person) && visitorTable.[person].Contains(DateTime.Today.DayOfWeek) /// This is the function to return all known permitted visitors. /// Note: this is internal and can only be used by code in this assembly. let internal AllKnownVisitors() = visitorTable.Keys The private table is visitorTable. Attempting to access this value from another module will give a type-checking error: > VistorCredentials.visitorTable;; ^^^^^^^^^^^^ Error: the value 'visitorTable' is not accessible from this code location. The function Check is marked public and is thus available globally. The function AllKnownVisitors is available only within the same assembly (or the same F# Interactive session) as the definition of the VisitorCredentials module. Note that you could drop the public annotations from Check and VisitorCredentials since these declarations are public by default. Accessibility annotations are often used to hide state or handles to resources such as files. In Listing 7-4 we protect a single reference cell containing a value that alternates between Tick and Tock. This example uses an internal event, a technique covered in more detail in 8. Listing 7-4. Protecting Internal State Using Accessibility Annotations module public GlobalClock = type TickTock = Tick | Tock type time = float let private clock = ref Tick

Note Class types with a primary constructor are useful partly because they implicitly encapsulate internal

of logic errors. They range from simple flow control analyzers that detect dead code to more sophisticated range and type checkers that walk your code to locate possible data mismatches. There are also tools designed to check for proper error handling using best practices for code hardening.

functions and mutable state. This is because all the construction arguments and let bindings are private to the object instance being constructed. This is just one of the ways of encapsulating information in F# programming. 7 covers encapsulation more closely.

Because let bindings are just one kind of expression, you can use them in a nested fashion. For example: let powerOfFourPlusTwoTimesSix n = let n3 = let n1 = n * n let n2 = n1 * n1 n2 + 2 let n4 = n3 * 6 n4 In the previous example, n1 and n2 are values defined locally by let bindings within the expression that defines n3. These local values are not available for use outside their scope. For example, the following code gives an error: let invalidFunction n = let n3 = let n1 = n + n let n2 = n1 * n1 n1 * n2 let n4 = n1 + n2 + n3 n4

When a logic error is found, the system usually does something odd or produces erroneous data. In the more extreme cases, the system may actually crash. Well-structured systems that include code hardening best practices tend to be more robust than others because they are designed to capture and handle errors as they occur. Even then, some errors are so severe that the system crashes (or the operating system terminates it) in order to protect the data and the system state. The art of debugging software is the ability to quickly locate the error, either by observing the system as its state changes or by direct inspection of the code and its data. We call the tools that we use to debug system debuggers. In the following sections, I ll examine some common debugging techniques and related debuggers.

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