Inverse standard functions for real and complex point and interval arguments with dynamic accuracy
on Scientific Computational with automatic result verification
Scientific Computing with Automatic Result Verification
Scientific Computing with Automatic Result Verification
C-XSC: A C++ Class Library for Extended Scientific Computing
C-XSC: A C++ Class Library for Extended Scientific Computing
Complex standard functions and their implementation in the CoStLy library
ACM Transactions on Mathematical Software (TOMS)
MPFR: A multiple-precision binary floating-point library with correct rounding
ACM Transactions on Mathematical Software (TOMS)
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Numerical Validation in Current Hardware Architectures
C-XSC and Closely Related Software Packages
Numerical Validation in Current Hardware Architectures
Why and How to Use Arbitrary Precision
Computing in Science and Engineering
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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.