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| '''Mentor''': Colin B. Macdonald | | '''Mentor''': Colin B. Macdonald |
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| === Interval package ===
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| The recent GNU Octave [[Interval_package|interval package]] provides several arithmetic functions with accurate and guaranteed error bounds. Its development started in the end of 2014 and there is some fundamental functionality left to be implemented.
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| Currently, everything is console/text only and the @infsup class needs functions for plotting intervals in graphs as lines, rectangles or boxes. For examples of how the result may look like, see images [http://www.maplesoft.com/applications/view.aspx?SID=4858&view=html] and [http://en.wikipedia.org/wiki/Interval_arithmetic]. These functions shall be developed for inclusion in the interval package for end users and will also be used for the package's documentation.
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| If the student has previous knowledge in interval arithmetic algorithms, is is also possible to implement the functions <code>polyval</code>, <code>fsolve</code>, and possibly <code>roots</code> (as m-files). Algorithms can be migrated from the C-XSC Toolbox (C++ code) from [http://www2.math.uni-wuppertal.de/wrswt/xsc/cxsc_new.html] (see rpeval.cpp, nlinsys.cpp, and cpzero.cpp respectively). All arithmetic operations required by these algorithms already exist in the package.
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| '''Required skills''': m-file scripting, basic knowledge of computer arithmetics (especially floating-point computations)
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| '''Difficulty''': medium
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| '''Mentor''': Oliver Heimlich
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| == Infrastructure == | | == Infrastructure == |