We develop efficient single- and multi-core algorithms to compute partition functions for RNA sequences. Our algorithms, which are based on McCaskill's algorithm, are benchmarked against state-of-the-art fast algorithms obtained using the parallelizing source-to-source compilers PLUTO and TRACO. On our Intel I9 computational platform, our best single core algorithm takes up to 81.2% less time than the single core algorithm resulting from PLUTO, which is faster than that obtained from TRACO. Our best multi-core algorithm takes up to 84.7% less time than the multi-core algorithm obtained using TRACO when run with 20 threads (our I9 has 10 cores and supports hyperthreading); the TRACO multi-core algorithm is faster than the PLUTO one.
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We present parallel tiled optimized McCaskill's partition functions computation code. That CPU and memory intensive dynamic programming task is within computational biology. To optimize code, we use the authorial source-to-source TRACO compiler and compare obtained code performance with that generated with the state-of-the-art PluTo compiler based on the affine transformations framework (ATF). For the considered task, PluTo is able to generate only serial highly cache efficient code without any parallelism. A TRACO tiling and parallelizing strategy uses the transitive closure of a dependence graph to avoid affine function calculation. First, for each loop nest statement, rectangular tiles are formed. Then those tiles are corrected to be valid under lexicographical order if necessary. A correction is carried out by means of applying transitive closure. The validity of tiles guarantees that the inter-tile dependence graph is acyclic. So, a valid schedule for target tiles can be derived and applied to generate parallel tiled code. For this purpose, the ISL scheduler is used. An experimental study carried out on a multi-core computer demonstrates considerable speed-up of generated code for the larger number of threads. Generated parallel tiled code overcomes that generated with the PluTo compiler.
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In this paper, we explain the development of a new Mizar tokenizer and parser program as a component of a search system that works on the Mizar Mathematical Library. The existing Mizar tokenizer and parser can handle only an article as a whole written in the Mizar language, however, the newly developed program can deal with a snippet of a Mizar article. In particular, since it is possible to handle a snippet of an article without specifying a vocabulary section of an environment part, it is expected that user input efforts will be greatly reduced.
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