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You ll have four fields displayed in your ListView, name, part reference number, part location, and assigned username with the option for users to also add the date created and modified fields as well as the fields representing the user who created or modified the record. As you may remember from 3, any of these fields can be sorted by the user using the ListView interface, but you can also make any other of these fields searchable from the basic and advanced search interfaces. You have two files needed to do this. The first is the searchdefs.php file which defines the search interface you see on this ListView form, as shown in Listing 10-8. Listing 10-8. searchdefs.php File for the Parts Module

1 0 (deriv e1, deriv e2) (Prod (e1, deriv e2), Prod (e2, deriv e1))

Table 6-1 shows some example data to which advanced filter criteria are applied in Table 6-2. Table 6-1. Example Data Records to Apply Advanced Filter Criteria

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The type of the deriv function is as follows: val deriv : Expr -> Expr Now, let s find the derivative of a simple expression, say 1+2x: > let e1 = Sum (Num 1, Prod (Num 2, Var));; val e1 : Expr = Sum (Num 1,Prod (Num 2,Var)) > deriv e1;; val it : Expr = Sum (Num 0,Sum (Prod (Num 2,Num 1),Prod (Var,Num 0))) The resulting expression is a symbolic representation of 0+(2*1+x*0), which indeed is 2 so it s right. You should do a couple of things next. First, install a custom printer so that F# Interactive responds using expressions that you re more used to using. Before you apply brute force and put parentheses around the expressions in each sum and product, let s contemplate it a bit. Parentheses are usually needed to give precedence to operations that would otherwise be applied later in the sequence of calculations. For instance, 2+3*4 is calculated as 2+(3*4) because the product has a higher precedence; if you were to find (2+3)*4, you would need to use parentheses to designate the new order of calculation. Taking this argument further, you can formulate the rule for using parentheses: they re needed in places where an operator has lower precedence than the one surrounding it. You can apply this reasoning to the expression printer by passing a context precedence parameter: let precSum = 10 let precProd = 20 let rec stringOfExpr prec expr = match expr with | Var -> "x" | Num i -> i.ToString() | Sum (e1, e2) -> if prec > precSum then "(" + stringOfExpr precSum e1 + "+" + stringOfExpr precSum e2 + ")" else stringOfExpr precSum e1 + "+" + stringOfExpr precSum e2

| Prod (e1, e2) -> stringOfExpr precProd e1 + "*" + stringOfExpr precProd e2 You can add this as a custom printer for this expression type: > fsi.AddPrinter (fun expr -> stringOfExpr 0 expr);; val it : unit = () > let e3 = Prod (Var, Prod (Var, Num 2));; val e3 : Expr = x*x*2 > deriv e3;; val it : Expr = x*(x*0+2*1)+x*2*1 Parentheses are omitted only when a sum is participating in an expression that has a higher precedence, which in this simplified example means products. If you didn t add precedence to the pretty-printer, you d get x*x*0+2*1+x*2*1 for the last expression, which is incorrect.

< php $searchdefs['Parts'] = array( 'templateMeta' => array( 'maxColumns' => '3', 'widths' => array('label' => '10', 'field' => '30'), ), 'layout' => array( 'basic_search' => array( 'name', array('name'=>'current_user_only', 'label'=>'LBL_CURRENT_USER_FILTER', 'type'=>'bool'), ), 'advanced_search' => array( 'name', 'part_reference_number', 'part_location',

The next thing to do is to get your symbolic manipulator to simplify expressions so you don t have to do so. One easy modification is to replace the use of the Sum and Prod constructors in deriv with local functions that perform local simplifications such as removing identity operations, performing arithmetic, bringing forward constants, and simplifying across two operations. Listing 12-2 shows how to do this. Listing 12-2. Symbolic Differentiation with Local Simplifications let simpSum = function | Num n, Num m -> Num (n+m) | Num 0, e | e, Num 0 -> e | e1, e2 -> Sum(e1,e2) let simpProd | Num n, | Num 0, | Num 1, | e1, e2 = function Num m -> Num (n*m) e | e, Num 0 -> Num 0 e | e, Num 1 -> e -> Prod(e1,e2) // constants! // 0+e = e+0 = e

50 75 150 125 100 250 150 125 325

let rec simpDeriv = | Var | Num _ | Sum (e1, e2) | Prod (e1, e2)

array('name' => 'assigned_user_id', 'label' => 'LBL_ASSIGNED_TO', 'type' => 'enum', 'function' => array('name' => 'get_user_array', 'params' => array(false))), ), ), ); >

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