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Latest revision as of 13:25, 6 July 2011



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Mathematics (104)



ATLAS
ATLAS (Automatically Tuned Linear Algebra Software) is a system for generating high-performance mathematical libraries. It generates a library that is specifically tuned to your processor and compiler. ATLAS's purpose is to provide portably optimal linear algebra software. In particular, ATLAS provides ANSI C and Fortran 77 interfaces to the BLAS, and a subset of LAPACK.

Apophenia
'Apophenia' is a statistical library for C. It provides functions on the same level as those of the typical stats package (OLS, probit, singular value decomposition, &c.) but doesn't tie the user to an ad hoc language or environment. It uses the GNU Scientific Library for number crunching and SQLite for data management, so the library itself focuses on model estimation and quickly processing data.

Aris Heckert gnu.small.png
A sequential proof program, designed to assist anyone interested in solving logical proofs. Aris supports both propositional and predicate logic, as well as Boolean algebra and arithmetical logic in the form of abstract sequences. It uses a predefined set of both inference and equivalence rules, however gives the user options to use older proofs as lemmas, including Isabelle's Isar proofs.

Autoclass
AutoClass solves the problem of automatic discovery of classes in data (sometimes called clustering or unsupervised learning), as distinct from the generation of class descriptions from labeled examples (called supervised learning). It aims to discover the 'natural' classes in the data. AutoClass is applicable to observations of things that can be described by a set of attributes, without referring to other things. The data values corresponding to each attribute are limited to be either numbers or the elements of a fixed set of symbols. With numeric data, a measurement error must be provided.

Axiom
Axiom is a general purpose Computer Algebra system. It was originally created under the name Scratchpad and has seen development at companies such as IBM and NAG. Axiom provides a mature, powerful, strongly typed environment designed to enable research into mathematical algorithms and theory. It is also useful for engineering or scientific purposes.

BLAS
The BLAS (Basic Linear Algebra Subprograms) are routines that provide standard building blocks for performing basic vector and matrix operations. The Level 1 BLAS perform scalar, vector and vector-vector operations, the Level 2 BLAS perform matrix-vector operations, and the Level 3 BLAS perform matrix-matrix operations. Because the BLAS are efficient, portable, and widely available, they are commonly used in the development of high quality linear algebra software, LAPACK for example.

Bc Heckert gnu.small.png
'Bc' is an arbitrary precision numeric processing language. Its syntax is similar to C, but differs in many substantial areas. It supports interactive execution of statements. 'Bc' is a utility included in the POSIX P1003.2/D11 draft standard. This version does not use the historical method of having bc be a compiler for the dc calculator (the POSIX document doesn't specify how bc must be implemented). This version has a single executable that both compiles the language and runs the resulting 'byte code.' The byte code is not the dc language.

BigMath
Based partly on Knuth's Seminumerical Algorithms and written in C, BigMath aims to be light-weight and fast. Its original implementation was for use within a kernel extension - thus size and speed were essential. BigMath supports only integer math, including add, sub, mul, div, mod, modpow, modinv, pow, gcd, factorial, radix conversion, scientific notation and various comparisons.

Bitwise enums
A very simple, 0-overhead, and yet type-safe 1-file library for doing bitwise operations between masks represented by enums. Please note: This library has been subsumed into MiLi and is no longer being maintained individually.

C-Graph Heckert gnu.small.png
GNU C-Graph is a tool for visualizing the mathematical operation of convolution underlying natural phenomena susceptible to analysis in terms of engineering signals and systems theory. "C-Graph" is an abbreviation for "Convolution Graph". The package is derived from the BSc. Honours dissertation in Electrical Engineering "Interactive Computer Package Demonstrating: Sampling Convolution and the FFT", Adrienne Gaye Thompson, University of Aberdeen (1983). The package computes the linear convolution of two signals in the time domain then compares their circular convolution by demonstrating the convolution theorem. Each signal is modelled by a register of discrete values simulating samples of a signal, and the discrete Fourier transform (DFT) computed by means of the Fast Fourier Transform (FFT). GNU C-Graph is interactive, prompting the user to enter character or numerical values from the keyboard, dispensing with the learning curve for writing code. The software will be useful to students of signals and systems theory. C-Graph is written in contemporary Fortran. You can find pre-GNU development versions at: <http://codeartnow.com/code/download/c-graph-1/c-graph-version-2-preview>. Adrienne Gaye Thompson is the sole author of GNU C-Graph and looks forward to sharing further development with the FLOSS community.

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