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GNU Scientific Library
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== Features == The software library provides facilities for: {{columns-list|colwidth=24em| * [[Elementary function|Basic mathematical functions]] * [[Complex number]]s * [[Polynomial]]s * [[B-spline]]s * [[Special functions]] * [[Vector space|Vectors]] and [[Matrix (mathematics)|matrices]] * [[Permutation]]s * [[Combination]]s * [[Multiset]]s * [[Sorting]] * [[Basic Linear Algebra Subprograms|BLAS]] * [[Linear algebra]] * [[Eigensystem]]s * [[Fast Fourier transform]]s * [[Numerical integration]] (based on [[QUADPACK]]) * [[Random number generator|Random number generation]] * [[Quasi-random sequences]] * [[probability distribution|Random number distributions]] * [[Statistics]] * [[Histogram]]s * [[N-tuple]]s * [[Monte Carlo integration]] * [[Simulated annealing]] * [[Ordinary differential equation]]s * [[Interpolation]] * [[Numerical differentiation]] * [[Chebyshev approximation]]s * [[Series acceleration]] * Discrete [[Hankel transform]] * [[Root-finding algorithm|Root finding]] in one and multiple dimensions * [[Optimization (mathematics)|Minimization]] in one and multiple dimensions * [[least squares|Least-squares fitting]] * [[Levenberg–Marquardt algorithm|Nonlinear least-squares fitting]] * [[Physical constants]] * [[IEEE floating-point arithmetic]] * [[Discrete wavelet transform]] }} === Programming-language bindings === Since the GSL is written in C, it is straightforward to provide wrappers for other programming languages. Such wrappers currently exist for * [[AMPL]]<ref>[https://ampl.github.io/amplgsl/ AMPL bindings for the GNU Scientific Library] {{Webarchive|url=https://web.archive.org/web/20211028035110/https://ampl.github.io/amplgsl/ |date=2021-10-28 }}.</ref> * [[C++]]<ref name="ccgsl">[http://ccgsl.sourceforge.net/ ccgsl: a C++ interface for the GNU Scientific Library]; </ref><ref name="gslmm">[http://cholm.home.cern.ch/cholm/misc/#gslmm GSL-- C++ wrappers for GSL] {{Webarchive|url=https://web.archive.org/web/20150129094320/http://cholm.home.cern.ch/cholm/misc/#gslmm |date=2015-01-29 }};</ref><ref name="gslwrap">[http://gslwrap.sourceforge.net/ GSLwrap: A C++ wrapper class for the GNU Scientific Library];</ref><ref name="gslcpp">[https://github.com/tevaughan/gslcpp/ gslcpp: A Header-Only, Modern C++-Library Wrapping the GNU Scientific Library].</ref> * [[Fortran]]<ref>[https://doku.lrz.de/display/PUBLIC/FGSL+-+A+Fortran+interface+to+the+GNU+Scientific+Library FGSL - A Fortran interface to the GNU Scientific Library].</ref> * [[Haskell]]<ref name="hmatrix-special">[https://hackage.haskell.org/package/hmatrix-special The hmatrix-special package, an interface to GSL special functions].</ref><ref name="hmatrix-gsl">[https://hackage.haskell.org/package/hmatrix-gsl The hmatrix-gsl package, a purely functional interface to selected numerical computations, internally implemented using GSL].</ref> * [[Java (programming language)|Java]]<ref>[https://github.com/bytedeco/javacpp-presets/tree/master/gsl JavaCPP Presets for GSL].</ref> * [[Julia (programming language)|Julia]]<ref>[https://github.com/JuliaMath/GSL.jl Julia interface to GSL].</ref> * [[Common Lisp]]<ref>[http://common-lisp.net/project/gsll/ GSLL, GNU Scientific Library for Lisp].</ref> * [[OCaml]]<ref>[https://mmottl.github.io/gsl-ocaml/ gsl-ocaml: OCaml bindings to the GSL].</ref> * [[Octave (programming language)|Octave]] * [[Perl Data Language]] * [[Python (programming language)|Python]]<ref>[http://pygsl.sourceforge.net/#pygsl Python interface for GNU Scientific Library].</ref> * [[R (programming language)|R]]<ref>[https://cran.r-project.org/web/packages/RcppGSL/index.html RcppGSL: 'Rcpp' Integration for 'GNU GSL' Vectors and Matrices].</ref><ref>[https://cran.r-project.org/web/packages/gsl/index.html gsl: wrapper for the Gnu Scientific Library].</ref> * [[Ruby (programming language)|Ruby]]<ref>[https://rubygems.org/gems/rb-gsl rb-gsl: Ruby/GSL is a Ruby interface to the GNU Scientific Library, for numerical computing with Ruby].</ref> * [[Rust (programming language)| Rust]]<ref>[https://docs.rs/GSL/6.0.0/rgsl/ rust-gsl: A Rust binding for the GSL library (the GNU Scientific Library).]</ref> === C++ support === The GSL can be used in [[C++]] classes, but not using pointers to member functions, because the type of ''pointer to member function'' is different from ''pointer to function''.<ref>[http://www.parashift.com/c++-faq-lite/pointers-to-members.html#faq-33.1 Pointers to member functions]. {{webarchive|url=https://web.archive.org/web/20041013202445/http://www.parashift.com/c++-faq-lite/pointers-to-members.html |date=2004-10-13 }}.</ref> Instead, pointers to static functions have to be used. Another common workaround is using a [[Function object|functor]]. C++ wrappers for GSL are available.<ref name="ccgsl"/><ref name="gslmm"/><ref name="gslwrap"/><ref name="gslcpp"/> Not all of these are regularly maintained. They do offer access to matrix and vector classes without having to use GSL's interface to [[malloc]] and [[Free (programming)|free]] functions. Some also offer support for also creating workspaces that behave like [[Smart pointer]] classes. Finally, there is (limited, as of April 2020) support for allowing the user to create classes to represent a parameterised function as a [[Function object|functor]]. While not strictly wrappers, there are some C++ classes <ref name="osscl">[https://neutronstars.utk.edu/code/o2scl/html/index.html o2scl Object-oriented Scientific Computing Library]; </ref><ref name="yat">[https://web.archive.org/web/20101103060841/http://dev.thep.lu.se/yat/ yat].</ref> that allow C++ users to use the Gnu Scientific Library with wrapper features.
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