Advanced Functional Programming: 4th International School, by Richard Bird, Jeremy Gibbons (auth.), Johan Jeuring, Simon

By Richard Bird, Jeremy Gibbons (auth.), Johan Jeuring, Simon L. Peyton Jones (eds.)

This instructional booklet provides seven revised lectures given via prime researchers on the 4th foreign tuition on practical Programming, AFP 2002, in Oxford, united kingdom in August 2002.

The lectures provided introduce instruments, language positive aspects, domain-specific languages, challenge domain names, and programming equipment. All lectures include workouts and sensible assignments. The software program accompanying the lectures could be accessed from the AFP 2002 site. This booklet is designed to permit members, small teams of scholars, and academics to review fresh paintings within the quickly constructing zone of sensible programming.

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Additional info for Advanced Functional Programming: 4th International School, AFP 2002, Oxford, UK, August 19-24, 2002. Revised Lectures

Example text

How big does n get in the definition of expand ? What does this relationship reveal about the answer to the previous exercise? 5 Decoding in the integer version Decoding with limited-precision arithmetic is again implemented by appeal to stream inversion, just as in the previous version. Let us start by showing how to compute the symbol s from bs = encode m ei (s : ss) under the assumption that nextBits ei = Nothing, so that ei straddles 1/2 and expand ei delivers an integer that will not collapse to the empty interval on narrowing.

3. Coerce the fully defined mutable array into an immutable array. Provided that the mutable array is not altered anymore, the last step can (unsafely) coerce the type without actually copying the array. A detailed introduction to the ST monad, including the outlined strategy for implementing immutable by mutable arrays, is provided by Peyton Jones & Launchbury [PL95]. Here we will constrain ourselves to the example displayed in Figure 8. The code defines the function replicateU , which produces an unboxed array of given size where all elements are initialised to the same value.

We treat sums similar to products, but, in addition to the component arrays, we also provide a selector array (see Figure 7), which is parametrised with the base array ua in the same way as the component arrays are. → ) = forall le re. PASum (Sel ua) (l le ua) (r re ua) instance (PArray a aarr , PArray b barr ) ⇒ PArray (a :∗: b) (PASum aarr barr ) -- also for FArray data PASum l r e (ua :: Arrays of arrays. 5, we represent nested arrays by a flat array combined with an extra structure, a segment descriptor, that encodes the partitioning of the flat array into subarrays.

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