Download Datatype-Generic Programming: International Spring School, by Jeremy Gibbons (auth.), Roland Backhouse, Jeremy Gibbons, PDF

By Jeremy Gibbons (auth.), Roland Backhouse, Jeremy Gibbons, Ralf Hinze, Johan Jeuring (eds.)

A leitmotif within the evolution of programming paradigms has been the extent and quantity of parametrisation that's facilitated — the so-called genericity of the paradigm. the types of parameters that may be envisaged in a programming language diversity from basic values, like integers and ?oating-point numbers, via dependent values, forms and periods, to forms (the kind of forms and/or classes).Datatype-generic programming is set parametrising programsby the constitution of the knowledge that they control. Toappreciatethe importanceofdatatypegenericity,oneneedlooknofurther than the web. the net is an incredible repository of established facts, however the constitution is never exploited. for instance, compression of information might be even more e?ective if its constitution is understood, yet such a lot compression algorithms regard the enter facts as easily a string of bits, and take no account of its inner agency. Datatype-genericprogrammingisaboutexploitingthestructureofdatawhen it really is proper and ignoring it whilst it isn't. Programming languages such a lot c- monly used this present day don't offer e?ective mechanisms for do- menting and enforcing datatype genericity. This quantity is a contribution in the direction of bettering the state-of-the-art. The emergence of datatype genericity should be traced again to the overdue 1980s.

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Extra info for Datatype-Generic Programming: International Spring School, SSDGP 2006, Nottingham, UK, April 24-27, 2006, Revised Lectures

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During the Spring School, Malcolm Wallace proposed the alternative term ‘tectomorphism’ for build , maintaining the Greek naming theme. The idea behind build is to allow the identification of precisely where in a program the nodes of a data structure are being generated; then it is straightforward for a compiler to fuse a following fold, inlining functions to replace those constructors and deforesting the data structure altogether. The operator takes as argument a program with ‘holes’ for constructors, and plugs those holes with actual constructors.

Data Stream a = ConsS a (Stream a) instance Idiom Stream where pure a = repeatS a mf mx = zipApS mf mx repeatS :: a → Stream a repeatS x = xs where xs = ConsS x xs zipApS :: (a → b → c) → Stream a → Stream b → Stream c zipApS (ConsS f fs) (ConsS x xs) = ConsS (f x ) (zipApS fs xs) The pure operator lifts a value to a stream, replicating it for each element; idiomatic application is pointwise, taking a stream of functions and a stream of arguments to a stream of results. We find that this idiom is the most accessible one for understanding the idiom laws.

These might be modelled by the following pair of Java interfaces: public interface Action{Object apply (Object o); } public interface Iterator {void iterate (Action a); } 28 J. Gibbons Aggregate Iterator +createIterator():Iterator +first():void +next():void +isDone():boolean +current():Item ConcreteAggregate <> ConcreteIterator 1 +createIterator():Iterator return new ConcreteIterator(this); Fig. 3. The class structure of the External Iterator pattern Aggregate +createIterator():Iterator ConcreteAggregate <> Iterator Action +iterate(Action):void +apply(Object):Object ConcreteIterator ConcreteAction 1 +createIterator():Iterator +apply(Object):Object Fig.

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