C-XSC: A C++ Class Library for Enhanced Scientific Computing with Predefined Data Types and Operator

When computing dot product expressions using the dotprecision classes, the precision used in each call of the accumulate-function can be set via the member function set_dotprec of the dotprecision classes. The meaning of the setting is the same as for the operators.

c-xsc a c class library for extended scientific computing

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Mailing lists The Object-Oriented NumericsList is a forum for discussing scientificcomputing in object-oriented environments.An archive isavailable.

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• EXTNUM,version of double which has the same number of mantissa bitsas IEEE 754, but extends the exponent to have range from10^-646456993 to 10^646456992.

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• PETSc,object-oriented software for partial differential equations(programmed in C)

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• TIDE:Classes for Ordinary Differential Equations. Provides vectorsand matrices, extrapolation integrator for ODEs, sparse matrixclasses, eigenvalues, shooting for two point BVPs, nonlinearsolver, continuation

• BoxLib/CCSE Applications Suite(docs), a class library supporting adaptive mesh refinement (AMR)schemes for computational fluid dynamics.

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• FEMLIB (ftp,www)A Finite Element package [ftp only] by Michael Tiller(BROKEN LINK, no longer supported)

• Automatic differentiation and interval arithmetic

• Gaol, C++library for interval arithmetic. Includes methods for intervalconstraint solvers.

• FADBAD-TADIFF,a C++ package for automatic differentiation usingany arithmetic (double or interval) by operator overloading.

• PROFIL/BIAS [English][Deutsch],a C++ interval arithmetic class library.

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• Paul Dubois's code forinterfacing Python and C++

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• Matwrap, a tool which generates C++ wrapper code formatrix-oriented scripting languages such as Matlab 5, Octave, and tela.

An interval can also be defined as a locus of points at a given distance from the center,[clarification needed] and this definition can be extended from real numbers to complex numbers.[3] As it is the case with computing with real numbers, computing with complex numbers involves uncertain data. So, given the fact that an interval number is a real closed interval and a complex number is an ordered pair of real numbers, there is no reason to limit the application of interval arithmetic to the measure of uncertainties in computations with real numbers.[4] Interval arithmetic can thus be extended, via complex interval numbers, to determine regions of uncertainty in computing with complex numbers.[4]

Since 1967, Extensions for Scientific Computation (XSC) have been developed in the University of Karlsruhe for various programming languages, such as C++, Fortran and Pascal.[23] The first platform was a Zuse Z23, for which a new interval data type with appropriate elementary operators was made available. There followed in 1976, Pascal-SC, a Pascal variant on a Zilog Z80 that it made possible to create fast, complicated routines for automated result verification. Then came the Fortran 77-based ACRITH-XSC for the System/370 architecture (FORTRAN-SC), which was later delivered by IBM. Starting from 1991 one could produce code for C compilers with Pascal-XSC; a year later the C++ class library supported C-XSC on many different computer systems. In 1997, all XSC variants were made available under the GNU General Public License. At the beginning of 2000 C-XSC 2.0 was released under the leadership of the working group for scientific computation at the Bergische University of Wuppertal to correspond to the improved C++ standard.

Another C++-class library was created in 1993 at the Hamburg University of Technology called Profil/BIAS (Programmer's Runtime Optimized Fast Interval Library, Basic Interval Arithmetic), which made the usual interval operations more user friendly. It emphasized the efficient use of hardware, portability and independence of a particular presentation of intervals. 2ff7e9595c