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14. Click cell F3, type Purple, and press the Enter key. An error message appears because the text is not one of the values Red, Yellow, Blue, or Green. 15. Click Cancel, click the arrow, and select Green from the list. Last, practice validating data for formulas: 1. Select cell G2, and in Excel 2007, click Data (Data Tools) Data Validation. In Excel 2003, click Data Validation. 2. Click the Settings tab. 3. In the Allow list, select Custom. 4. Click the Formula box, type =AND(AVERAGE(H2:H11)>60), and click OK. 5. Click cell G2, type some text, and press the Enter key. An error message appears because the average of the values in cells H2 through H11 is not greater than 60. 6. Click Cancel. 7. Select cell G2, and in Excel 2007, click Data (Data Tools) Data Validation. In Excel 2003, click Data Validation. 8. Click the Settings tab. 9. Click the Formula box, change the formula to =AND(AVERAGE(H2:H11)>50), and click OK. 10. Click cell G2, type some text, and press the Enter key. No error message appears because the average of the values in cells H2 through H11 is greater than 50.

This chapter has deemphasized the use of .NET terminology for object types, such as class and interface. However, all F# types are ultimately compiled as .NET types. Here is how they relate: Concrete types such as record types, discriminated unions, and class types are compiled as .NET classes. Object interface types are by default compiled as .NET interface types.

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If you want, you can delimit class types using class/end: type Vector2D(dx: float, dy: float) = class let len = sqrt(dx * dx + dy * dy) member v.DX = dx member v.DY = dy member v.Length = len end You see this in F# code samples on the Web and in other books. However, we have found that this tends to make types harder to understand, so we ve omitted class/end throughout this book. You can also delimit object interface types by interface/end: open System.Drawing type IShape = interface abstract Contains : Point -> bool abstract BoundingBox : Rectangle end

As an alternative to typing or copying multiple data values into worksheet cells, you can import the data values into an Excel workbook. Importing data values into other database management systems can take a lot of effort, can be error-prone, and may require you to purchase additional expensive software add-ons. Excel can import data from many popular data sources quickly and with very few steps.

It s occasionally useful to direct the F# compiler to use a .NET struct (value type) representation for small, generally immutable objects. You can do this by adding a Struct attribute to a class type and adding type annotations to all arguments of the primary constructor: [<Struct>] type Vector2DStruct(dx : float, dy: float) = member v.DX = dx member v.DY = dy member v.Length = sqrt (dx * dx + dy * dy) Finally, you can also use a form that makes the values held in a struct explicit: [<Struct>] type Vector2DStructUsingExplicitVals = val dx : float val dy: float member v.DX = v.dx member v.DY = v.dy member v.Length = sqrt (v.dx * v.dx + v.dy * v.dy) Structs are often more efficient, but you should use them with care because the full contents of struct values are frequently copied. The performance characteristics of structs can also change depending on whether you re running on a 32-bit or 64-bit machine.

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