Abstract
Based on the libraries MPFR and MPFI for arbitrary precision real and arbitrary precision real interval computations and corresponding interfaces to the C++ class library C-XSC, the new data type MpfciClass (multiple precision floating-point complex intervals) and corresponding operations/functions for arbitrary precision complex intervals have been implemented. Our new package allows to code mathematical expressions for the complex interval data type in their usual mathematical notation yielding easy to read and self-documenting source code. Meanwhile, more than 30 elementary mathematical functions have been realized. At any point of the program the user may change the precision setting of the computation. The maximum precision of complex interval variables is only restricted by memory limitations. Its exponent range is very large. To the knowledge of the authors there is no comparable package (with respect to the features provided) available worldwide. The new package is written in C++. It is freely available from http://www2.math.uni-wuppertal.de/org/WRST/xsc/cxscsoftware.html .
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Krämer, W., Blomquist, F. (2012). Arbitrary Precision Complex Interval Computations in C-XSC. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31500-8_47
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DOI: https://doi.org/10.1007/978-3-642-31500-8_47
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