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In this case, there is no quid pro quo and thus no warranty of any kind Opponents of the open source movement will cite this as a reason to avoid the use of open source software, stating that it is use at your own risk and therefore introduces too much risk While that s true enough, the argument is weakened or invalidated when you purchase support from open source vendors Support options from open source vendors often include certain liability rights and further protections This is perhaps the most compelling reason to purchase support for open source software In this case, there is quid pro quo and in many cases a reliable warranty The requirement to place a banner in a visible place in your software is not that onerous.

Listing 6-3 A Vector2D Type with Length Precomputation /// Interval(lo,hi) represents the range of numbers from lo to hi, /// but not including either lo or hi type Interval(lo,hi) = member rLo = lo member rHi = hi member rIsEmpty = hi <= lo member rContains(v) = lo < v && v < hi static member Empty = Interval(00,00) /// Return the smallest interval that covers both the intervals /// This method is overloaded static member Span(r1:Interval,r2:Interval) = if r1IsEmpty then r2 else if r2IsEmpty then r1 else Interval(min r1Lo r2Lo,max r1Hi r2Hi) /// Return the smallest interval that covers all the intervals /// This method is overloaded static member Span(ranges: #seq<Interval>) = Seqfold (fun r1 r2 -> IntervalSpan(r1,r2)) Interval.

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However, what happens if you want to pattern-match against values of type Prop Even if you exposed the representation, all you would get is an integer, which you would have to look up in an internal table. You can define an active pattern for restoring matching on that data structure, as shown in Listing 9-5. Listing 9-5. Extending Listing 9-3 with an Active Pattern for the Optimized Representation module PropOps = ... let (|And|Or|Not|Var|True|) prop = match table.FromUnique prop with | AndRepr (x, y) -> And (x, y) | OrRepr (x, y) -> Or (x, y) | NotRepr x -> Not x | VarRepr v -> Var v | TrueRepr -> True This code defines an active pattern in the auxiliary module PropOps that lets you pattern-match against Prop values, despite the fact that they re using optimized unique-integer references under the hood. For example, you can define a pretty-printer for Prop terms as follows, even though they re using optimized representations: open PropOps let rec showProp prec prop = let parenIfPrec lim s = if prec match prop with | Or (p1, p2) -> parenIfPrec 4 | And (p1, p2) -> parenIfPrec 3 | Not p -> parenIfPrec 2 | Var v -> v | True -> "T" < lim then "(" + s + ")" else s (showProp 4 p1 + " || " + showProp 4 p2) (showProp 3 p1 + " && " + showProp 3 p2) ("not " + showProp 1 p)

The GPL simply requires a clear statement of the software s derivation and origination as well as marking the software as protected under the GPL This informs anyone who uses this software of their rights (freedoms) to use, copy, distribute, and modify the software Perhaps the most important declaration contained in the GNU manifesto is the statements under the heading, How GNU Will Be Available In this section, the manifesto states that although everyone is permitted to modify and redistribute GNU, no one is permitted to restrict its redistribution further This means no one can take an open source system based on the GNU manifesto and turn it into a proprietary system or make proprietary modifications..

Empty ranges Second, multiple methods can also have the same number of arguments and be overloaded by type One of the most common examples is providing multiple implementations of overloaded operators on the same type The following example shows a Point type that supports two subtraction operations, one subtracting a Point from a Point to give a Vector and one subtracting a Vector from a Point to give a Point: type Vector = { DX:float; DY:float } member vLength = sqrt(vDX*vDX+vDY*vDY) type Point = { X:float; Y:float } [<OverloadID("SubtractPointPoint")>] static member (-) (p1:Point,p2:Point) = { DX=p1X-p2X; DY=p1Y-p2Y } [<OverloadID("subtractPointVector")>] static member (-) (p:Point,v:Vector) = { X=pX-vDX; Y=pY-vDY } The version of F# at the time of writing (1929) asks for a little help here.

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