A library for GTA programming

Latest on Hackage:0.0.6

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BSD3 licensed by Kento Emoto

This package provides the core functionalities of the GTA (Generate, Test, and Aggregate) programming framework on Haskell (c.f., Kento Emoto, Sebastian Fischer, Zhenjiang Hu: Generate, Test, and Aggregate - A Calculation-based Framework for Systematic Parallel Programming with MapReduce. ESOP 2012: 254-273. The authors' version is available at


The following code is a GTA program to solve the 0-1 Knapsack problem ( It appears to be an exponential cost proram in the number of input items, because it appears to generate all item selections by subsP items (Generate), discard those with total weight heavier than the knapsack's capacity by filterBy weightlimit capacity (Test), and take the most valuable selection by aggregateBy maxsumsolutionWith getValue (Aggregate). However, it actually runs in a linear time owing to our proposed program transformation 'Filter-embedding Semiring Fusion' implemented in the library. In addition, it runs in parallel so that you can get linear speedup.

knapsack capacity items =
 subsP items
 `filterBy` weightlimit capacity
 `aggregateBy` maxsumsolutionWith getValue

getValue (_, v) = v
getWeight (w, _) = w

weightlimit w = (<=w) <.> weightsum where
  weightsum = homJ' times single nil
  x1 `times` x2  = (   x1 +    x2) `min` (w+1)
  single i  = getWeight i `min` (w+1)
  nil = 0

Several examples of GTA programming are found in examples directory at

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