panthema / 2012
Example of the Inducing Process

eSAIS - Inducing Suffix and LCP Arrays in External Memory

Posted on 2012-11-19 15:49 by Timo Bingmann at Permlink with 2 Comments. Tags: research stringology stxxl c++

This web page accompanies our conference paper "Inducing Suffix and LCP Arrays in External Memory", which we presented at the Workshop on Algorithm Engineering and Experiments (ALENEX 2013). A PDF of the publication is available from this site as alenex13esais.pdf alenex13esais.pdf or from the online proceedings. The paper was joint work with my colleagues Johannes Fischer and Vitaly Osipov.

Download alenex13esais.pdf

The slides to my presentation of the paper on January 7th, 2013 in New Orleans, LA, USA is available: alenex13esais-slides.pdf alenex13esais-slides.pdf. They contain little text and an example of the eSAIS algorithm with a simplified PQ.

Download alenex13esais-slides.pdf

We have also submitted a full version of the eSAIS paper to a journal. Due to long publication cycles, we make a pre-print of the journal article is available here: esais-preprint.pdf esais-preprint.pdf. The full paper contains more details on the inducing algorithm for the LCP array and additional experimental details.

Download esais-preprint.pdf

Our implementations of eSAIS, the eSAIS-LCP variants, DC3 and DC3-LCP algorithms as described in the paper are available below under the GNU General Public License v3 (GPL).

eSAIS and DC3 with LCP version 0.5.4 (current) updated 2013-12-13
Source code archive:
(includes STXXL 1.4.0)
eSAIS-DC3-LCP-0.5.4.tar.bz2 eSAIS-DC3-LCP-0.5.4.tar.bz2 (1.37 MiB) Browse online
Git repositories Suffix and LCP construction algorithms
git clone
cd eSAIS; git submodule init; git submodule update
STXXL 1.4.0
git clone

For more information about compiling and testing the implementation, please refer to the README included in the source.

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The QuadClip Algorithm

Finding Roots of Polynomials by Clipping - Report and Implementation from my Lab Course in Numerical Mathematics

Posted on 2012-03-20 22:29 by Timo Bingmann at Permlink with 0 Comments. Tags: maths university c++

This semester I had the pleasure to take part in a lab exercise course supervised by Prof. Thomas Linß at the FernUniversity of Hagen. The objective was to comprehend, implement and evaluate a particular recent advancement in the field of numerical mathematics. My topic was finding the roots of a polynomial by clipping in Bézier representation using two new methods, one devised by Michael Bartoň and Bert Jüttler [1], the other extended from the first by Ligang Liu, Lei Zhang, Binbin Lin and Guojin Wang [2].

My implementation of this topic was done for the lab course in C++ and contains many in themselves interesting sub-algorithms, which are combined into the clipping algorithms for finding roots. These sub-algorithms may prove useful for other purposes, which is the main reason for publishing this website. Among these are:

For the lab course I wrote two documents, both in German: one is an abstract Kurzfassung.pdf Kurzfassung.pdf (1 page), which is translated into English below, and the other a short report Ausarbeitung.pdf Ausarbeitung.pdf (6 pages). The report contains a short description of the algorithms together with execution and convergence speed measurements, which verify the original authors experiments. For presenting the lab work I created these Slides.pdf Slides.pdf, which however are not self-explanatory due to my minimum-text presentation style.

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