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let createScrollableChildWindow parent = let scroll = new ScrollableControl(Dock=DockStyle.Fill, AutoScroll=true) let form2 = new Form(MdiParent=parent, BackColor=Color.White) form2.Controls.Add scroll form2, scroll let newExpression parent s es = let form, scroll = createScrollableChildWindow parent let AddLabel (top, maxw) (parent: #Control) s = let l = new Label(Text=s, AutoSize=true, Top=top) parent.Controls.Add l (top+l.Height), max maxw l.Width let AddPic (top, maxw) (parent: #Control) (e: Expr) = let e' = VisualExpr.OfExpr RenderOptions.Default e let bmp = e'.Render let pic = new PictureBox(Image=bmp, Height=bmp.Height, Width=bmp.Width, Top=top) parent.Controls.Add pic (top+bmp.Height), max maxw bmp.Width let height, width = List.fold_left (fun top (lab, e) -> AddPic (AddLabel top scroll lab) scroll e) (0, 0) es form.Text <- s form.Height <- min 640 (height+40) form.Width <- min 480 (width+40) form.Show() let updatePreview (scroll :> Control) e = let e' = VisualExpr.OfExpr RenderOptions.Default e let bmp = e'.Render let pic = new PictureBox(Image=bmp, Height=bmp.Height, Width=bmp.Width) scroll.Controls.Clear() scroll.Controls.Add pic let newExpressionError form s = let cform, scroll = createScrollableChildWindow form let label = new Label(Text=s, Font=new Font("Courier New", 10.f), AutoSize=true) scroll.Controls.Add label cform.Show() exception SyntaxError let Parse s = let lex = Lexing.from_string s try ExprParser.expr ExprLexer.main lex with _ -> raise SyntaxError

After implementing the framework to support this 5-layer architecture, I ll create a sample application with three different interfaces: Windows Forms, Web Forms, and Web Services. This will give you the opportunity to see firsthand how the framework supports the following models: High-scalability smart client Optimal performance web client Optimal performance web service Due to the way the framework is implemented, switching to any of the other models just discussed will require only configuration file changes. The result is that you can easily adapt your application to any of the physical configurations without having to change your code.

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let newStringExpression form s = try let e1 = Parse s let e2 = Utils.Simplify e1 let e3 = Utils.Differentiate "x" e2 let e4 = Utils.Simplify e3 newExpression form s ["Original:", e1; "Simplified:", e2; "Derivative:", e3; "Simplified:", e4] with | SyntaxError -> let msg = Printf.sprintf "Syntax error in:\n%s" s newExpressionError form msg | Failure msg -> newExpressionError form msg let constructMainForm () = let form = new Form(Text="Symbolic Differentiation Example", IsMdiContainer=true, Visible=true, Height=600, Width=700) let label = new Label(Text="Enter function=", Width=100, Height=20) let tb = new TextBox(Width=150, Left=100) let panel = new Panel(Dock=DockStyle.Top, Height=tb.Height+50) let preview = new Panel(Dock=DockStyle.Bottom, BackColor=Color.White, Height=50, BorderStyle=BorderStyle.FixedSingle) let control c = (c :> Control) panel.Controls.AddRange([|control label; control preview; control tb |]) form.Controls.Add(panel) tb.KeyUp.Add (fun arg -> if arg.KeyCode = Keys.Enter then newStringExpression form tb.Text tb.Text <- "" tb.Focus() |> ignore else try let e = Parse tb.Text updatePreview preview e with | _ -> ()) form let form = constructMainForm () newStringExpression form "cos(sin(1/(x^2+1)))" Application.Run(form)

At this point, you should have a good understanding of logical and physical architectures, and how a 5-layer logical architecture can be configured into various n-tier physical architectures. In one way or another, all of these layers will use or interact with the application s data. That s obviously the case for the Data Management and Data Access layers, but the Business Logic layer must validate, calculate, and manipulate data; the UI transfers data between the Business Logic and Presentation layers (often performing formatting or using the data to make navigational choices); and the Presentation layer displays data to the user and collects new data as it s entered. In an ideal world, all of the business logic would exist in the Business Logic layer, but in reality, this is virtually impossible to achieve. In a web-based UI, validation logic is often included in the Presentation layer, so that the user gets a more interactive experience in the browser. Unfortunately, any validation that s done in the web browser is unreliable, because it s too easy for a malicious user to bypass that validation. Thus, any validation done in the browser must be rechecked in the Business Logic layer as well. Similarly, most databases enforce referential integrity, and often some other rules, too. Furthermore, the Data Access layer will very often include business logic to decide when and how data should be stored or retrieved from databases and other data sources. In almost any application, to a greater or a lesser extent, business logic gets scattered across all the layers. There s one key truth here that s important: for each piece of application data, there s a fixed set of business logic associated with that data. If the application is to function properly, the business

To recap, in this sample you ve seen the following: Two abstract syntax representations for different classes of algebraic expressions: one simple, and one much more realistic How to implement simplification and symbolic differentiation routines on these representations of algebraic expressions How to implement parsing and lexing for concrete representations of algebraic expressions How to perform size estimation and visual layout for abstract syntax representations of algebraic expressions, here using Windows Forms How to put this together into a final application

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