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Listing 12-3 shows the definition of the abstract syntax representation of expressions using a single Expr type. Expressions contain numbers, variables, negation, sums, differences, products, fractions, exponents, basic trigonometric functions (sin x, cos x), and ex. Let s look at this abstract syntax design more closely. In 9, you saw that choosing an abstract syntax often involves design choices, and that these choices often relate to the roles the abstract syntax representation should serve. In this case, you use the abstract syntax to compute symbolic derivatives and simplifications (using techniques similar to those earlier in this chapter) and also to graphically visualize the resulting expressions in a way that is pleasant for the human user. For this reason, you don t use an entirely minimalistic abstract syntax (for example, by replacing quotients with an inverse node), because it s helpful to maintain some additional structure in the input. Here, you represent sums and differences not as binary terms (as you do for products and quotients) but instead as a list of expression terms. The Sub term also carries the minuend, the term that is to be reduced, separately. As a result, you have to apply different strategies when simplifying them. Listing 12-3. Expr.fs: The Core Expression Type for the Visual Symbolic Differentiation Application namespace Symbolic.Expressions type Expr = | Num of | Var of | Neg of | Add of | Sub of | Prod of | Frac of | Pow of | Sin of | Cos of | Exp of decimal string Expr Expr list Expr * Expr list Expr * Expr Expr * Expr Expr * decimal Expr Expr Expr

static member StarNeeded e1 e2 = match e1, e2 with | Num _, Neg _ | _, Num _ -> true | _ -> false member self.IsNumber = match self with | Num _ -> true | _ -> false member self.NumOf = match self with | Num num -> num | _ -> failwith "NumOf: Not a Num" member self.IsNegative = match self with | Num num | Prod (Num num, _) -> num < 0M | Neg e -> true | _ -> false member self.Negate = match self with | Num num -> Num (-num) | Neg e -> e | exp -> Neg exp

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Now that you have all the basic views done for the module, let s look at a few extra ones that you ll be using with your module. One is the subpanel view, which is shown on the DetailViews of any related modules to your Parts module. You can see the metadata layout for this in Listing 10-10. Listing 10-10. subpanels/default.php File for the Parts Module

let sumIfBothSmall (inp1,inp2) = attempt { let! n1 = failIfBig inp1 let! n2 = failIfBig inp2 let sum = n1 + n2 return sum } In this case, the let binding executes exactly as you would expect; it takes the expression n1+n2 and binds its result to the value sum. To summarize, you ve seen that computation expressions let you do the following: Use an expression-like syntax to build Attempt computations Sequence these computations together using the let! construct Return results from these computations using return and return! Compute intermediate results using let

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Listing 9-6 shows the implementation of the workflow builder for Attempt workflows; this is the simplest definition for AttemptBuilder. Listing 9-6. Defining a Workflow Builder let let let let let succeed x = (fun () -> Some(x)) fail = (fun () -> None) runAttempt (a:Attempt<'T>) = a() bind p rest = match runAttempt p with None -> fail | Some r -> (rest r) delay f = (fun () -> runAttempt (f ()))

type AttemptBuilder() = /// Wraps an ordinary value into an Attempt value. /// Used to de-sugar uses of 'return' inside computation expressions. member b.Return(x) = succeed x /// Composes two attempt values. If the first returns Some(x) then the result /// is the result of running rest(x). /// Used to de-sugar uses of 'let!' inside computation expressions. member b.Bind(p,rest) = bind p rest /// Delays the construction of an attempt until just before it is executed member b.Delay(f) = delay f /// Used to de-sugar uses of 'let' inside computation expressions. member b.Let(p,rest) : Attempt<'T> = rest p let attempt = new AttemptBuilder()

< php $subpanel_layout = array( 'top_buttons' => array( array('widget_class' => 'SubPanelTopButtonQuickCreate'), array('widget_class' => 'SubPanelTopSelectButton', 'popup_module' => 'Parts'), ), 'where' => '', 'list_fields' => array( 'name'=>array( 'vname' => 'LBL_NAME', 'widget_class' => 'SubPanelDetailViewLink', 'width' => '45%',

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