- besssugo is a free computational tool specifically designed to aid a cognizant expert—i.e. you, whether an engineer, scientist, technician, geek, etc—to build videos showing the result of a certain scientific calculation or whatever data can be computed or storied in a digital computer. Technically speaking, it is a plugin for the computational tool wasora, which provides means to parse and understand a high-level plain-text input file containing algebraic expressions, data for function interpolation, differential equations and output instructions amongst other facilities. Therefore, any mathematical computation which can be done by wasora—i.e. solving systems of differential-algebraic equations, multidimensional interpolation of scattered data, numerical integration and differentiation, etc.—can be combined with the facilities that besssugo provides to create visual representations in the form of animations.
- 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.
- 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: Code Art Now. Adrienne Gaye Thompson is the sole author of GNU C-Graph and looks forward to sharing further development with the Free software community.
- "Calc" is an advanced calculator and mathematical tool that runs as part of the GNU Emacs environment. Very roughly based on the HP-28/48 series of calculators, its many features include: * Choice of algebraic or RPN (stack-based) entry of calculations. * Arbitrary precision integers and floating-point numbers. * Arithmetic on rational numbers, complex numbers (rectangular and polar), error forms with standard deviations, open and closed intervals, vectors and matrices, dates and times, infinities, sets, quantities with units, and algebraic formulas. * Mathematical operations such as logarithms and trigonometric functions. * Programmer's features (bitwise operations, non-decimal numbers). * Financial functions such as future value and internal rate of return. * Number theoretical features such as prime factorization and arithmetic modulo M for any M. * Algebraic manipulation features, including symbolic calculus. * Moving data to and from regular editing buffers. * "Embedded mode" for manipulating Calc formulas and data directly inside any editing buffer. * Graphics using gnuplot, a versatile plotting program. * Easy programming using keyboard macros, algebraic formulas, algebraic rewrite rules, or extended Emacs Lisp.
- Choose is a program that computes permutations and choose functions. It does so quickly and effectively. Choose falls into the category of programs that are simple but are useful and for some reason do not exist.
- cl-ana is a library of modular utilities for reasonably high performance data analysis & visualization using Common Lisp. (Reasonably means I have to be able to use it for analyzing particle accelerator data). The library is made of various sublibraries and is designed in a very bottom-up way so that if you don't care about some feature you don't have to load it.
The functionality support so far are
- Tabular data analysis: Read-write of large datasets stored in HDF5 files are supported, along with ntuple datasets, CSVs, and in-memory data tables. Users can add their own table types by defining 4 methods and extending the table CLOS type.
- Histograms: Binned data analysis is supported with both contiguous and sparse histogram types; functional interface is provided via map (which allows reduce/fold) and filter.
- Plotting: Uses gnuplot for plotting dataset samples, plain-old lisp functions, histograms, strings-as-formulae, and anything else the user wishes to add via methods on a couple of generics.
- Fitting: Uses GSL for non-linear least squares fitting. Uses plain-old lisp functions as the fit functions and can fit against dataset samples, histograms, and whatever the user adds.
- Generic mathematics: CL doesn't provide extendable math functions, so cl-ana provides these as well as a convenient mechanism (a single function) for using these functions instead of the non-extendable versions. Already included are error propogation and quantities (values with units, e.g. 5 meters) as well as a GNU Octave-style handling of sequences (e.g. (+ (1 2) (3 4)) --> (4 6)).
- Multiplatform raster graphical editor enabling simultaneous drawing between users. Project including several sub projects as server, painting framework, network library, desktop application and protocol design and documentation.
- A proof done with Coq is mechanically checked by the machine. In particular, Coq allows:
- to define functions or predicates,
- to state mathematical theorems and software specifications,
- to develop interactively formal proofs of these theorems,
- to check these proofs by a relatively small certification "kernel".
- 'CrocoPat' is a tool for querying and manipulating relations. It is easy to use because of its simple query and manipulation language based on predicate calculus and its simple file format for relations. It is efficient because it internally represents relations as binary decision diagrams, a data structure that is well-known as a compact representation of large relations. CrocoPat is general, because it manipulates not only graphs (i.e. binary relations), but n-ary relations.
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