Hipparchus is alibrary oflightweight,self-containedmathematics andstatisticscomponentsaddressing themost commonproblems notavailable inthe Javaprogramminglanguage.Hipparchusstarted as afork of ApacheCommons Math.The fork wasinitiated bymost of themain developersand a fewcontributors ofApache CommonsMath.
Nelson is anarrayprogramminglanguageproviding apowerful opencomputingenvironment forengineering andscientificapplicationsusing modernC/C++ libraries(Boost, Eigen,…) and othersstate of artnumericallibraries. Ithassophisticateddata structures(includingcell, struct,linear systems,…), aninterpreter anda high levelprogramminglanguage. Nelson has beendevelopped tobe anopen/modularsystem where anuser can definethese own datatypes andoperations onthese datatypes b
GNU Octave is ahigh-levelinterpretedlanguage,primarilyintended fornumericalcomputations.It providescapabilitiesfor thenumericalsolution oflinear andnonlinearproblems, andfor performingother numericalexperiments. Italso providesextensivegraphicscapabilitiesfor datavisualizationandmanipulation.Octave isnormally usedthrough itsinteractivecommand lineinterface, butit can also beused to writenon-interactiveprograms. TheOctave languageis quitesimilar toMatlab so
This is avectorizedlibm.Elementaryfunctions liketrig, pow,asinh can beevaluated usingSIMDinstructions.It is portable,and currentlysupports SSE2,AVX, AVX2,FMA4, AVX512Fand AArch64Advanced SIMD.The library iscoded without aconditionalbranch. It isextensivelytested to checkif it handlescorner caseswell.
Maxima is acomputeralgebra systemcomparable tocommercialsystems likeMathematica andMaple. Itemphasizessymbolicmathematicalcomputation:algebra,trigonometry,calculus, andmuch more.
GNU Dr. Geo, alibre softwareto design &manipulateinteractivegeometricsketches. Itsaim is to be anopen, easy tostudy, modifyand extendinteractivegeometrysoftware.Distributedwith its sourcecode it ismodify-me-ready.
Yacas is aneasy to use,general purposeComputerAlgebra System,a program forsymbolicmanipulation ofmathematicalexpressions. Ituses its ownprogramminglanguagedesigned forsymbolic aswell asarbitrary-precisionnumericalcomputations.The system hasa library ofscripts thatimplement manyof the symbolicalgebraoperations; newalgorithms canbe easily addedto the library.
Mavscriptallows the userto docalculations ina textdocument. Plaintext andOpenOfficeWriter files(odt) aresupported. Thecalculation isdone by thealgebra systemYacas(default),Jasymca or bythe JavainterpreterBeanShell.
A C++ librarythat supports afew operationson booleanexpressionbinary trees.The mainfeatures are asimple booleanexpressionparser, analgorithm toconvert abooleanexpression treeinto itsDisjunctiveNormal Form,and a functionthat determinesif anexpression treeis in DNF. Acommmand-linetool can alsobe used toconvert to DNF.
bigz is asimple butfeature-rich Clibrary forbignumcalculations.It's thecontinuation ofan old BigNumprojectoriginallybegun as aresearchproject.Currentreleasesinclude manyfixes,extensions andimprovements.It's notas efficient asGMP, but comeswith a smallerfootprint,provides Z+Qinfiniteprecision, andis ratherportable andmulti-threadsafe.
GluCat is ageneric libraryof C++templates thatimplementuniversalCliffordalgebras overthe field ofreal numbers. The PyClicalextensionmodule forPython givesusers an easyPythonscriptinginterface forcalculations inCliffordalgebras. Thename PyClicalis an homage toPerttiLounesto'sCLICAL.
Functy is a 3Dgraphicsgenerationtool. It plotscartesian,spherical orparametriccurvefunctions. Itallows alteringtheirparameters forimmediateredraws toexplore 3Dfunctionresults. Itutilized GPUfunctionsentirely forvisualization.
A library forparsingmathematicalexpressions.Unlike similarprojects, JBEEis able toparse numbersformatedaccording tothe user'slocale and usesBigDecimalinternallyinstead ofdouble forarbitraryprecision.
Geomview is aninteractive 3Dviewing programfor Unix.Geomview letsyou view andmanipulatethree-dimensionalobjects: youuse the mouseto rotate,translate, zoomin and out, andso on. Geomviewcan be used asa standaloneviewer forstatic objectsor as a displayengine forother programswhich producedynamicallychanginggeometry.Geomview candisplay objectsdescribed in avariety of fileformats.Geomview comeswith a wideselection ofexampleobjects, andyou can createyour ownobjects
PracticallyRandom is atest suite forPRNGs. Itprovidesmultithreadedstatisticalprobing of theactualrandomness ofRNGs. It alsoincludesmultiplewell-designedpseudo-randomnumbergenerators andinterfaces.
This is iStoa,a set ofinteractiveactivities toplay withmathematics.Its targetaudience areprimary schoolstudents. Itcontents iscurrentlytargeting grade1.
Posest is aC/C++ GPLlibrary for 3Dpose estimationfrom pointcorrespondences.Pose estimationrefers to thecomputation ofposition andorientationestimates thatfully definethe posture ofa rigid objectin space (6 DoFin total). Thecomputation isbased on a setof known 3Dpoints andtheircorresponding2D projectionson an image.Posestestimates therelative motionbetween the 3Dpoints and thecamera system;single orbinocularcamera systemsare supported.Image pointstypically orig
MathMod is a mathematical modeling software to visualize and animate implicit and parametric surfaces, either with 3D or 4D hypersurface plotting. It provides JSON-compatible scripting facilities, OBJ and K3DSurf format export or .js conversion, ready-to-use animation algorithm examples, and includes a simple editor.
Hipparchus is a library of lightweight, self-contained mathematics and statistics components addressing the most common problems not available in the Java programming language. Hipparchus started as a fork of Apache Commons Math. The fork was initiated by most of the main developers and a few contributors of Apache Commons Math.
Nelson is an array programming language providing a powerful open computing environment for engineering and scientific applications using modern C/C++ libraries (Boost, Eigen, …) and others state of art numerical libraries. It has sophisticated data structures (including cell, struct, linear systems, …), an interpreter and a high level programming language. Nelson has been developped to be an open/modular system where an user can define these own data types and operations on these data types b
GNU Octave is a high-level interpreted language, primarily intended for numerical computations. It provides capabilities for the numerical solution of linear and nonlinear problems, and for performing other numerical experiments. It also provides extensive graphics capabilities for data visualization and manipulation. Octave is normally used through its interactive command line interface, but it can also be used to write non-interactive programs. The Octave language is quite similar to Matlab so
The emgr framework is a compact open-source model reduction software toolbox for (empirical) GRAMIAN-based model order reduction (MOR) and uncertainty quantification (UQ). It's compatible with OCTAVE and MATLAB.
Python matplotlib is a for 2D plotting publication-ready figures in various formats, or rendering them interactively cross-platform. It can be scripted or used in Pythons interactive shell, within web applications, or through bindings with multiple GUI toolkits. It simplifies plot generation, histograms, power spectra, bar charts, error charts, scatter plots. Typical uses only require a few lines of code, while complex rendering is kept feasible. Its pyplot interface provides a MATLAB-style API.
DataMelt (DMelt), is a platform for numeric computation, data analysis, statistics and data visualization. DMelt can be used for analysis of large data volumes, data mining, statistical analyses and math computations. DMelt creates high-quality vector-graphics images (SVG, EPS, PDF) that can be included in LaTeX and other text-processing systems. This computational platform can be used with Python (Jython), Java, Groovy, Ruby (JRuby), BeanShell and Octave programming languages.
This is a vectorized libm. Elementary functions like trig, pow, asinh can be evaluated using SIMD instructions. It is portable, and currently supports SSE2, AVX, AVX2, FMA4, AVX512F and AArch64 Advanced SIMD. The library is coded without a conditional branch. It is extensively tested to check if it handles corner cases well.
Maxima is a computer algebra system comparable to commercial systems like Mathematica and Maple. It emphasizes symbolic mathematical computation: algebra, trigonometry, calculus, and much more.
GNU Dr. Geo, a libre software to design & manipulate interactive geometric sketches. Its aim is to be an open, easy to study, modify and extend interactive geometry software. Distributed with its source code it is modify-me-ready.
Yacas is an easy to use, general purpose Computer Algebra System, a program for symbolic manipulation of mathematical expressions. It uses its own programming language designed for symbolic as well as arbitrary-precision numerical computations. The system has a library of scripts that implement many of the symbolic algebra operations; new algorithms can be easily added to the library.
Mavscript allows the user to do calculations in a text document. Plain text and OpenOffice Writer files (odt) are supported. The calculation is done by the algebra system Yacas (default), Jasymca or by the Java interpreter BeanShell.
This package provides a Python translation of the Matlab package Qpecgen which generates random MPEC test problems with quadratic objective functions and affine variational inequality constraints. For more information, see the paper and accompanying code by Houyuan Jiang, Daniel Ralph, 1997.
A C++ library that supports a few operations on boolean expression binary trees. The main features are a simple boolean expression parser, an algorithm to convert a boolean expression tree into its Disjunctive Normal Form, and a function that determines if an expression tree is in DNF. A commmand-line tool can also be used to convert to DNF.
bigz is a simple but feature-rich C library for bignum calculations. It's the continuation of an old BigNum project originally begun as a research project. Current releases include many fixes, extensions and improvements. It's not as efficient as GMP, but comes with a smaller footprint, provides Z+Q infinite precision, and is rather portable and multi-thread safe.
librsb is a library for sparse matrix computations featuring the Recursive Sparse Blocks (RSB) matrix format. This format allows cache efficient and multi-threaded (that is, shared memory parallel) operations on large sparse matrices. The most common operations necessary to iterative solvers are available, e.g.: matrix-vector multiplication, triangular solution, rows/columns scaling, diagonal extraction / setting, blocks extraction, norm computation, formats conversion. The RSB format is especia
GluCat is a generic library of C++ templates that implement universal Clifford algebras over the field of real numbers. The PyClical extension module for Python gives users an easy Python scripting interface for calculations in Clifford algebras. The name PyClical is an homage to Pertti Lounesto's CLICAL.
The Bricks collection is a set of Pascal units that provides a class library for rapid programming of high-performance computer simulations in life sciences. It also delivers a class library that facilitates the generation of block diagrams in software. CyberUnits is a reusable cross-platform class library for rapid programming of high-performance computer simulations in life sciences. It supports modelling for biomedical cybernetics and systems biology with Object Pascal, S and Matlab.
Functy is a 3D graphics generation tool. It plots cartesian, spherical or parametric curve functions. It allows altering their parameters for immediate redraws to explore 3D function results. It utilized GPU functions entirely for visualization.
ODE is a high performance library for simulating rigid body dynamics. It is fully featured, stable, mature, and platform independent with an easy-to-use C/C++ API. It has advanced joint types and integrated collision detection with friction. ODE is useful for simulating vehicles, objects in virtual reality environments, and virtual creatures. It is currently used in many computer games, 3D authoring tools, and simulation tools.
ODE is a high performance library for simulating rigid body dynamics. It is fully featured, stable, mature, and platform independent with an easy-to-use C/C++ API. It has advanced joint types and integrated collision detection with friction. ODE is useful for simulating vehicles, objects in virtual reality environments, and virtual creatures. It is currently used in many computer games, 3D authoring tools, and simulation tools.
A library for parsing mathematical expressions. Unlike similar projects, JBEE is able to parse numbers formated according to the user's locale and uses BigDecimal internally instead of double for arbitrary precision.
SCaVis is an environment for scientific computation, data analysis and data visualization designed for scientists, engineers and students. While itself implemented in Java, it provides bindings for Jython, Groovy, JRuby, BeanShell or Matlab/Octav for symbolic calculations. It features chart plotting, histograms, advanced statistics, symbolic calculations, data analysis, mathematical functions, data mining, linear algebra and plots.
Geomview is an interactive 3D viewing program for Unix. Geomview lets you view and manipulate three-dimensional objects: you use the mouse to rotate, translate, zoom in and out, and so on. Geomview can be used as a standalone viewer for static objects or as a display engine for other programs which produce dynamically changing geometry. Geomview can display objects described in a variety of file formats. Geomview comes with a wide selection of example objects, and you can create your own objects
Practically Random is a test suite for PRNGs. It provides multithreaded statistical probing of the actual randomness of RNGs. It also includes multiple well-designed pseudo-random number generators and interfaces.
FriCAS is a computer algebra system forked from Axiom. It provides calculus (integral calculation, differentiation) and abstract algebra, function plotting, and has an integreated help system. It's implemented in Spad, a strongly-typed and high-level language, for expressing mathematical algorithms in natural notation.
This is iStoa, a set of interactive activities to play with mathematics. Its target audience are primary school students. It contents is currently targeting grade 1.
Posest is a C/C++ GPL library for 3D pose estimation from point correspondences. Pose estimation refers to the computation of position and orientation estimates that fully define the posture of a rigid object in space (6 DoF in total). The computation is based on a set of known 3D points and their corresponding 2D projections on an image. Posest estimates the relative motion between the 3D points and the camera system; single or binocular camera systems are supported. Image points typically orig
MACE is a calculator, or algorithm and equation solver suitable for students. It covers 160 logical operations, statistical distributions and functions in the fields analysis, arithmetic, complex functions, linear algebra, differential calculus and statistics. MACE provides a wizard and natural formula and function insertion, also comes with a custom scripting language, and provides extensive help.
clojure2minizinc provides an interface between state-of-the-art constraint solvers (via MiniZinc) and a very high-level programming language with excellent abstraction capabilities, Clojure. The clojure2minizinc user models in Clojure constraint satisfaction or optimisation problems over Boolean, integer, real number, and/or set variables. clojure2minizinc translates them into MiniZinc, they are solved in the background by a compatible solver, and the result is read back into Clojure. clojure2mi
Armadillo is a C++ linear algebra library (matrix maths) aiming towards a good balance between speed and ease of use. The API is deliberately similar to Matlab. Provides efficient classes for vectors, matrices and cubes, as well as many functions which operate on the classes (eg. contiguous and non-contiguous submatrix views). Integer, floating point, and complex numbers are supported, as well as a subset of trigonometric and statistics functions. Various matrix decompositions are provided