Category:PARI/GP: Difference between revisions
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PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. |
PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. |
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PARI/GP is composed of two parts: a [[C]] library called PARI and an interface, gp, to this library. GP scripts are concise, easy to write, and resemble mathematical language. (Terminology: the scripting language of gp is called GP.) |
PARI/GP is composed of two parts: a [[C]] library called PARI and an interface, gp, to this library. GP scripts are concise, easy to write, and resemble mathematical language. (Terminology: the scripting language of gp is called GP.) |
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PARI was written by Henri Cohen and others at Université |
PARI was written by Henri Cohen and others at Université de Bordeaux and is now maintained by Karim Belabas. gp was originally written by Dominique Bernardi, then maintained and enhanced by Karim Belabas and Ilya Zakharevich, and finally rewritten by Bill Allombert. |
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== |
== Getting PARI/GP == |
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PARI/GP can be |
PARI/GP can be used in many different operating systems. This is a reasonably comprehensive list of currently-supported systems; for other systems, please use the [https://pari.math.u-bordeaux.fr/lists-index.html mailing lists]. |
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{| class="wikitable" |
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For Windows users there are precompiled binaries in four versions: full-featured binaries (slightly old) in both a stable and a development version, a more recent stable version without plotting and line-completion, and a similarly bare-bones build of the latest bleeding-edge version. |
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|- |
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! Operating system |
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Mac users may find it convenient to download the version from [http://pdb.finkproject.org/pdb/package.php/pari-gp Fink]. |
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! Kind |
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! Type of install |
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Linux users can install PARI/GP with their favorite package manager (RPM, dpkg, apt, etc.) or build it from source. [http://math.crg4.com/software.html#pari Instructions] are available for compiling. |
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! Link |
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! How to install |
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|- |
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| rowspan="3" | Windows |
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| various |
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| installer (stable or development) |
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| [http://pari.math.u-bordeaux.fr/download.html#windows official site] |
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| run installer |
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|- |
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| XP, Vista, 7, 8, 10 |
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| standalone binaries (stable or development) |
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| [http://pari.math.u-bordeaux.fr/download.html#windows official site] |
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| run |
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|- |
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| various |
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| standalone binaries (daily) |
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| [http://pari.math.u-bordeaux.fr/pub/pari/windows/snapshots/ official site] |
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| run |
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|- |
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| rowspan="7" | Linux |
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| Ubuntu/Debian |
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| package manager |
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| [https://packages.debian.org/stretch/pari-gp Debian packages] |
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| <code>sudo apt-get install pari-gp</code> |
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|- |
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| Fedora |
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| package manager |
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| [https://apps.fedoraproject.org/packages/pari-gp Fedora packages] |
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| <code>sudo dnf install pari-gp</code> |
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|- |
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| Arch |
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| package manager |
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| [https://www.archlinux.org/packages/community/x86_64/pari/ Arch packages] |
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| <code>sudo pacman -S pari</code> |
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|- |
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| RHEL/CentOS |
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| package manager |
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| |
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| <code>sudo yum install pari-gp</code> |
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|- |
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| FreeBSD |
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| package manager |
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| [https://svnweb.freebsd.org/ports/head/math/pari/?view=log FreeBSD Ports Search] |
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| <code>sudo pkg install pari-2.11.3,2</code> |
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|- |
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| various |
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| package manager |
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| [https://formulae.brew.sh/formula-linux/pari Homebrew formula] |
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| <code>brew install pari</code> |
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|- |
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| various |
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| build from source |
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| [http://pari.math.u-bordeaux.fr/download.html official site] |
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| [http://math.crg4.com/software.html#pari Building PARI/GP in Linux] |
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|- |
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| rowspan="4" | macOS |
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| at least El Capitan (10.11) |
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| DMG installer (stable or development) |
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| [http://pari.math.u-bordeaux.fr/download.html#macos official site] |
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| Open dmg, drag to Applications (note: window may start minimized) |
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|- |
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| at least El Capitan (10.11) |
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| standalone binary (stable or development) |
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| [http://pari.math.u-bordeaux.fr/download.html#macos official site] |
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| run |
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|- |
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| unknown, at least OS X (10.?) |
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| package manager |
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| [https://ports.macports.org/port/pari/ MacPorts] (and [https://github.com/macports/macports-ports/blob/master/math/pari/Portfile portfile]) |
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| <code>sudo port install pari</code> |
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|- |
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| unknown |
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| package manager |
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| [https://formulae.brew.sh/formula/pari Homebrew formula] |
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| <code>brew install pari</code> |
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|- |
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| rowspan="5" | Android |
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| various |
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| package manager |
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| [https://f-droid.org/packages/fr.ubordeaux.math.paridroid/ f-droid] |
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| Install via F-Droid client or install APK directly |
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|- |
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| various |
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| package manager |
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| [https://play.google.com/store/apps/details?id=fr.ubordeaux.math.paridroid&hl=en Google Play] |
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| |
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|- |
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| various |
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| precompiled binary |
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| [http://pari.math.u-bordeaux.fr/download.html#paridroid official site] |
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| |
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|- |
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| various |
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| build from source |
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| [https://github.com/FreeMonad/paridroid github] |
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| [https://github.com/FreeMonad/paridroid/wiki/Build-Environment Building] and [https://github.com/FreeMonad/paridroid/wiki/Installation Installing] (note: requires Android SDK Tools and Android NDK) |
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|- |
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| various |
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| build from source |
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| [http://pari.math.u-bordeaux.fr/cgi-bin/gitweb.cgi?p=paridroid.git;a=summary official site] |
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| [https://pari.math.u-bordeaux.fr/paridroid/index.html Installing PariDroid] |
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|- |
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| rowspan="2" | iOS |
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| ? |
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| Build from source on [https://ish.app/ iSH] |
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| [https://pari.math.u-bordeaux.fr/archives/pari-users-2111/msg00021.html Mailing list post] |
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| Turn on iSh Disable Screen Dimming Setting, then <code>apt get git gcc && git clone https://pari.math.u-bordeaux.fr/git/pari.git && cd pari && ./Configure && make install</code> |
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|- |
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| iOS 8+ |
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| app |
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| [https://itunes.apple.com/us/app/sage-math/id496492945?mt=8 sage-math] |
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| Click the "+" in the top-right to start a new program, then click and hold on "Sage" at the top until the "Select Language" dropdown appears, then choose GP. (You can also use the wrapper function <code class="language-sage">pari</code> in a Sage snippet.) |
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|- |
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| rowspan="4" | online |
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| Chrome, Firefox, Internet Explorer |
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| local Javascript |
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| [http://pari.math.u-bordeaux.fr/gp.html Emscripten] |
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| |
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|- |
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| Chrome, Firefox |
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| local Javascript |
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| [http://pari.math.u-bordeaux.fr/gpexpwasm.html WebAssembly] |
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| |
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|- |
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| Chrome, Firefox, Internet Explorer |
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| client/server |
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| [https://www.tutorialspoint.com/execute_pari_online.php coding ground] |
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| |
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|- |
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| various |
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| client/server |
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| [https://cocalc.com/ CoCalc] |
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| [http://youtu.be/CzB6T7Nvc-s How to use PARI/GP in the SageMathCloud] (SageMathCloud is now CoCalc) |
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|} |
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== Coding with PARI == |
== Coding with PARI == |
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The most common way to use PARI is through the gp calculator, using its own scripting language, GP. But there are other interfaces to PARI beside gp: |
The most common way to use PARI is through the gp calculator, using its own scripting language, GP. But there are other interfaces to PARI beside gp: |
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* [http://math.univ-lille1.fr/~ramare/ServeurPerso/GP-PARI/ PariEmacs] |
* [http://www.emacswiki.org/emacs/PariGP PariGP on EmacsWiki], [http://math.univ-lille1.fr/~ramare/ServeurPerso/GP-PARI/ PariEmacs] |
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* [http://go.helms-net.de/sw/paritty/pari_tty_einf_en.html Pari-tty] |
* [http://go.helms-net.de/sw/paritty/pari_tty_einf_en.html Pari-tty] |
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* [http://www.skalatan.de/pariguide/ pariGUIde] |
* [http://www.skalatan.de/pariguide/ pariGUIde] |
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* [https://github.com/baruchel/vim-notebook vim-notebook] (see also [https://www.youtube.com/watch?v=vHiCpRQiJuU the author's video on using gp from vim]) |
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* [https://github.com/jdemeyer/pari_jupyter Jupyter kernel] |
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If you want to |
If you want to program with PARI, many languages are supported: |
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* [[C]]: PARI is written in C, so it's very easy to either write your own programs or extend gp using C. |
* [[C]]: PARI is written in C, so it's very easy to either write your own programs or extend gp using C. |
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** The [http://pari.math.u-bordeaux.fr/pub/pari/manuals/gp2c/gp2c.html gp2c] utility converts GP scripts into executable C code. |
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* [[C++]]: With appropriate linkage specification it is possible to use PARI directly in C++ as well. The code is intentionally written in a C++-compatible style. |
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** For use with the Gnu Mpc library, there is also [http://www.multiprecision.org/?prog=pari-gnump Pari-Gnump]. |
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* [[Python]]: [http://www.sagemath.org/ SAGE] is a Python-based system that includes PARI among others; there is a [http://code.google.com/p/pari-python/ pari-python] library as well. |
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** [https://www.multiprecision.org/paritwine/ PariTwine] is a glue library for various math libraries including GMP, GNU MPFR, GNU MPC, FLINT, ARB and CMH. |
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* [[Perl]]: Use [http://search.cpan.org/dist/Math-Pari/ Math::Pari]. |
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* [[C++]]: PARI can be used directly in C++. The code is intentionally written in a C++-compatible style. <code>-fpermissive</code> may be useful when compiling with g++. |
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* [[CLISP]]: Use [http://clisp.sourceforge.net/impnotes/pari.html Pari]. |
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* [[Python]]: |
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** [http://www.sagemath.org/ SageMath] (or SAGE) is a Python-based system that includes GP among others |
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** [http://code.google.com/p/pari-python/ pari-python] |
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** [https://pypi.python.org/pypi/cypari/ cypari]/[https://github.com/sagemath/cypari2 cypari2] is a fork of the GP component of SageMath (see also the voluminous [https://buildmedia.readthedocs.org/media/pdf/cypari2/latest/cypari2.pdf CyPari2 Documentation]) |
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* [[Perl]]: |
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** [http://search.cpan.org/dist/Math-Pari/ Math::Pari] |
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** [https://github.com/FreeMonad/GPP GPP] |
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* [[Common Lisp]]: Use [http://clisp.sourceforge.net/impnotes/pari.html Pari] ([[CLISP]]). |
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* [[Mathematica]]: A [http://pari.math.u-bordeaux.fr/dochtml/mathlink.html quick tutorial using MathLink] is available. |
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== See also == |
== See also == |
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== Resources == |
== Resources == |
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=== General === |
=== General === |
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*[http://pari.math.u-bordeaux.fr/faq.html Official FAQ] |
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*[http://www.math.utah.edu/faq/pari/pari.html PARI/GP FAQ] |
*[http://www.math.utah.edu/faq/pari/pari.html PARI/GP FAQ] |
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*[http:// |
*[http://pari.math.u-bordeaux.fr/ateliers.html Ateliers PARI/GP]: Conference slides and other resources |
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*[http://hyperpolyglot.org/more-computer-algebra Comparison with Magma, GAP, and Singular] |
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=== Tutorials === |
=== Tutorials === |
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*[http://pari.math.u-bordeaux.fr/pub/pari/manuals/2. |
*[http://pari.math.u-bordeaux.fr/pub/pari/manuals/2.11.1/tutorial.pdf Official tutorial] by The PARI Group (58 pp., 2018) |
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*[http://www.math.u-bordeaux.fr/~ballombe/talks/bordeaux-20150924.pdf Tutorial on Elliptic Curves] by Bill Allombert and Karim Belabas (5 pp., 2016) |
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* Class notes, parts [http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_01.pdf 1][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_02.pdf 2][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_03.pdf 3][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_04.pdf 4][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_05.pdf 5][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_sieve.pdf sieve] by Benjamin L. Levitt (41 pp., 2009) |
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*[http://www. |
*[http://www.personal.psu.edu/bug/467/pariinfo.pdf Beginning PARI Programming for CSE/MATH 467] by W. Dale Brownawell (7 pp., 2014) |
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*[http://www.maths.tcd.ie/~vlasenko/MA2316/ Class notes] including PARI/GP tutorial and sample code by Masha Vlasenko (2013) |
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*[http://www.math.umass.edu/~siman/09.791N/tutorial.pdf Tutorial] by Siman Wong (6 pp., 2009) |
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*[http://people.math.umass.edu/~siman/09.791N/tutorial.pdf Tutorial] by Siman Wong (6 pp., 2009) |
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*[http://www.exploringbinary.com/exploring-binary-numbers-with-parigp-calculator/ Exploring binary numbers with PARI/GP calculator] by Rick Regan (appx. 4 pp., 2009) |
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* Class notes, parts [http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_01.pdf 1][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_02.pdf 2][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_03.pdf 3][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_04.pdf 4][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_05.pdf 5][http://myweb.csuchico.edu/~blevitt/math230/230coursedocs/230notes/230notes_sieve.pdf sieve] by Benjamin L. Levitt (41 pp., 2009; now offline?) |
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*[http://www.math.uconn.edu/~kconrad/math5230f08/parihandout.pdf Introduction] by Keith Conrad (7 pp., 2008) |
*[http://www.math.uconn.edu/~kconrad/math5230f08/parihandout.pdf Introduction] by Keith Conrad (7 pp., 2008) |
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*[http://mvngu.wordpress.com/2008/08/01/parigp-programming-for-basic-cryptography/ PARI/GP programming for basic cryptography] by Minh Van Nguyen (appx. 3 pp., 2008); also appears in an [https://bitbucket.org/mvngu/www/downloads/2008-11-25_numtheory-crypto-gp.pdf extended version] (9 pp., 2008) |
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*[http://www.math.uiuc.edu/~r-ash/GPTutorial.pdf Tutorial] by Robert B. Ash (20 pp., 2007) |
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*[http://www.linuxjournal.com/article/1068 The Pari Package On Linux], by Klaus-Peter Nischke (3 pp., 1995) |
*[http://www.linuxjournal.com/article/1068 The Pari Package On Linux], by Klaus-Peter Nischke (3 pp., 1995) |
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*[http://users.aims.ac.za/~richard/faq/index.php Pari/GP Tutorial] by Akinola Richard Olatokunbo (now offline; [https://web.archive.org/web/20170324230906/http://users.aims.ac.za/~richard/faq/index.php archived version]) |
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*[http://mvngu.wordpress.com/2008/08/01/parigp-programming-for-basic-cryptography/ PARI/GP programming for basic cryptography] by Minh Van Nguyen (appx. 3 pp., 2008) |
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*[https://pari.math.u-bordeaux.fr/Events/PARI2019/talks/parallel.pdf Parallel Computation] by Bill Allombert |
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*[http://www.exploringbinary.com/exploring-binary-numbers-with-parigp-calculator/ Exploring binary numbers with PARI/GP calculator] by Rick Regan (appx. 4 pp., 2009) |
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*Video tutorials, parts [http://www.youtube.com/watch?v=0G-9JzlrzBM 1] [http://www.youtube.com/watch?v=d7i0rv59hns 2] [http://http://www.youtube.com/watch?v=wCyU2n-G-pk 3] [http://http://www.youtube.com/watch?v=WOCuBvK8O6Q 4] (appx. 20 minutes, 2011) |
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==== Non-English language ==== |
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*French tutorials (slides) by Bill Allombert (2017): |
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** [https://pari.math.u-bordeaux.fr/Events/PARI2017c/talks/init.pdf Introduction à PARI/GP] (13 pp.) |
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** [https://pari.math.u-bordeaux.fr/Events/PARI2017c/talks/prog.pdf Programmation GP] (11 pp.) |
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** [https://pari.math.u-bordeaux.fr/Events/PARI2017c/talks/TAN.pdf Théorie algébrique des nombres] (31 pp.) |
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** [https://pari.math.u-bordeaux.fr/Events/PARI2017c/talks/TAN2.pdf Théorie algébrique des nombres avancée] (22 pp.) |
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** [https://pari.math.u-bordeaux.fr/Events/PARI2017c/talks/ecc.pdf Courbes elliptiques sur les corps finis] (4 pp.) |
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*[http://w3.countnumber.de/fischer/res-ZT2007/PariByExample.pdf Erste Schritte mit PARI/GP] by Lars Fischer (13 pp., 2007; German) |
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*[https://www.youtube.com/watch?v=I_GfMUGAlns Pari Gp مع NotPad++] by NoorDeen Rahmani (2020; 2:46; Arabic) -- setting up Notepad++ for syntax highlighting for PARI/GP. |
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==== Video tutorials ==== |
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* [https://www.youtube.com/watch?v=RQLqQHu7i0Y Pari/GP Tutorial: Basics] by Leandro Junes (2020, 19:04) |
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*[https://www.youtube.com/watch?v=FeG0BYRrDOE&t=12m Video demo of RSA in PARI/GP] by Maren1955 (2014, 17:39) |
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*Video tutorials, parts [http://www.youtube.com/watch?v=0G-9JzlrzBM 1] [http://www.youtube.com/watch?v=d7i0rv59hns 2] [http://www.youtube.com/watch?v=wCyU2n-G-pk 3] [http://www.youtube.com/watch?v=WOCuBvK8O6Q 4] (2011, appx. 20 minutes) |
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=== Papers on PARI/GP === |
=== Papers on PARI/GP === |
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* Karim Belabas and Henri Cohen, [https://arxiv.org/abs/1810.00547 Modular Forms in Pari/GP], ''Research in the Mathematical Sciences'' '''5''':37 (2018) |
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* Henri Cohen, [https://arxiv.org/abs/1809.10908 Expansions at Cusps and Petersson Products in Pari/GP], ''Elliptic Integrals, Functions, and Modular Forms in Quantum Field Theory'', Nov 2017, Zeuthen, Germany. Springer Wien, ''Elliptic Integrals, Functions, and Modular Forms in Quantum Field Theory''. (2018) |
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* Karim Belabas and Jean-François Jaulent, [https://www.math.u-bordeaux.fr/~jjaulent/Articles/bnflog.ps The logarithmic class group package in PARI/GP], ''Mathematical Publications of Besançon, Algebra and Number Theory'' (2016), pp. 5–18. |
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* Bill Alombert, [http://www.math.u-bordeaux.fr/~allomber/darkpaper.pdf A new interpretor for PARI/GP], ''Journal de Théorie des Nombres de Bordeaux'' '''20''':3 (2008), pp. 531–541. (English) |
* Bill Alombert, [http://www.math.u-bordeaux.fr/~allomber/darkpaper.pdf A new interpretor for PARI/GP], ''Journal de Théorie des Nombres de Bordeaux'' '''20''':3 (2008), pp. 531–541. (English) |
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* Paul Zimmermann, [http://www.loria.fr/~zimmerma/talks/henri.pdf The Ups and Downs of PARI/GP in the last 20 years], Explicit Methods in Number Theory, October 15th-19th 2007 |
* Paul Zimmermann, [http://www.loria.fr/~zimmerma/talks/henri.pdf The Ups and Downs of PARI/GP in the last 20 years], Explicit Methods in Number Theory, October 15th-19th 2007 |
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* Robert H. Lewis and Michael Wester, [https://home.bway.net/lewis/cacomp.ps Comparison of polynomial-oriented computer algebra systems], ''ACM SIGSAM Bulletin'' '''33''':4 (1999), pp. 5-13. |
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* Henri Cohen, Computing in algebraic number fields. In P. L. Butzer (ed.) et al., Karl der Grosse und sein Nachwirken. 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen. Turnhout: Brepols. 505-520 (1998) |
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[[Category:Mathematical programming languages]] |
[[Category:Mathematical programming languages]] |
Latest revision as of 21:29, 17 June 2022
This programming language may be used to instruct a computer to perform a task.
Official website |
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Execution method: | Interpreted or compiled |
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Garbage collected: | Yes |
Parameter passing methods: | By reference, By value |
Type strength: | Weak |
Type checking: | Dynamic |
Lang tag(s): | parigp, c |
See Also: |
PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions.
PARI/GP is composed of two parts: a C library called PARI and an interface, gp, to this library. GP scripts are concise, easy to write, and resemble mathematical language. (Terminology: the scripting language of gp is called GP.)
PARI was written by Henri Cohen and others at Université de Bordeaux and is now maintained by Karim Belabas. gp was originally written by Dominique Bernardi, then maintained and enhanced by Karim Belabas and Ilya Zakharevich, and finally rewritten by Bill Allombert.
Getting PARI/GP
PARI/GP can be used in many different operating systems. This is a reasonably comprehensive list of currently-supported systems; for other systems, please use the mailing lists.
Operating system | Kind | Type of install | Link | How to install |
---|---|---|---|---|
Windows | various | installer (stable or development) | official site | run installer |
XP, Vista, 7, 8, 10 | standalone binaries (stable or development) | official site | run | |
various | standalone binaries (daily) | official site | run | |
Linux | Ubuntu/Debian | package manager | Debian packages | sudo apt-get install pari-gp
|
Fedora | package manager | Fedora packages | sudo dnf install pari-gp
| |
Arch | package manager | Arch packages | sudo pacman -S pari
| |
RHEL/CentOS | package manager | sudo yum install pari-gp
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FreeBSD | package manager | FreeBSD Ports Search | sudo pkg install pari-2.11.3,2
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various | package manager | Homebrew formula | brew install pari
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various | build from source | official site | Building PARI/GP in Linux | |
macOS | at least El Capitan (10.11) | DMG installer (stable or development) | official site | Open dmg, drag to Applications (note: window may start minimized) |
at least El Capitan (10.11) | standalone binary (stable or development) | official site | run | |
unknown, at least OS X (10.?) | package manager | MacPorts (and portfile) | sudo port install pari
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unknown | package manager | Homebrew formula | brew install pari
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Android | various | package manager | f-droid | Install via F-Droid client or install APK directly |
various | package manager | Google Play | ||
various | precompiled binary | official site | ||
various | build from source | github | Building and Installing (note: requires Android SDK Tools and Android NDK) | |
various | build from source | official site | Installing PariDroid | |
iOS | ? | Build from source on iSH | Mailing list post | Turn on iSh Disable Screen Dimming Setting, then apt get git gcc && git clone https://pari.math.u-bordeaux.fr/git/pari.git && cd pari && ./Configure && make install
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iOS 8+ | app | sage-math | Click the "+" in the top-right to start a new program, then click and hold on "Sage" at the top until the "Select Language" dropdown appears, then choose GP. (You can also use the wrapper function pari in a Sage snippet.)
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online | Chrome, Firefox, Internet Explorer | local Javascript | Emscripten | |
Chrome, Firefox | local Javascript | WebAssembly | ||
Chrome, Firefox, Internet Explorer | client/server | coding ground | ||
various | client/server | CoCalc | How to use PARI/GP in the SageMathCloud (SageMathCloud is now CoCalc) |
Coding with PARI
The most common way to use PARI is through the gp calculator, using its own scripting language, GP. But there are other interfaces to PARI beside gp:
- PariGP on EmacsWiki, PariEmacs
- Pari-tty
- pariGUIde
- vim-notebook (see also the author's video on using gp from vim)
- Jupyter kernel
If you want to program with PARI, many languages are supported:
- C: PARI is written in C, so it's very easy to either write your own programs or extend gp using C.
- The gp2c utility converts GP scripts into executable C code.
- For use with the Gnu Mpc library, there is also Pari-Gnump.
- PariTwine is a glue library for various math libraries including GMP, GNU MPFR, GNU MPC, FLINT, ARB and CMH.
- C++: PARI can be used directly in C++. The code is intentionally written in a C++-compatible style.
-fpermissive
may be useful when compiling with g++. - Python:
- SageMath (or SAGE) is a Python-based system that includes GP among others
- pari-python
- cypari/cypari2 is a fork of the GP component of SageMath (see also the voluminous CyPari2 Documentation)
- Perl:
- Common Lisp: Use Pari (CLISP).
- Mathematica: A quick tutorial using MathLink is available.
See also
Resources
General
- Official FAQ
- PARI/GP FAQ
- Ateliers PARI/GP: Conference slides and other resources
- Comparison with Magma, GAP, and Singular
Tutorials
- Official tutorial by The PARI Group (58 pp., 2018)
- Tutorial on Elliptic Curves by Bill Allombert and Karim Belabas (5 pp., 2016)
- Beginning PARI Programming for CSE/MATH 467 by W. Dale Brownawell (7 pp., 2014)
- Class notes including PARI/GP tutorial and sample code by Masha Vlasenko (2013)
- Tutorial by Siman Wong (6 pp., 2009)
- Exploring binary numbers with PARI/GP calculator by Rick Regan (appx. 4 pp., 2009)
- Class notes, parts 12345sieve by Benjamin L. Levitt (41 pp., 2009; now offline?)
- Introduction by Keith Conrad (7 pp., 2008)
- PARI/GP programming for basic cryptography by Minh Van Nguyen (appx. 3 pp., 2008); also appears in an extended version (9 pp., 2008)
- Tutorial by Robert B. Ash (20 pp., 2007)
- The Pari Package On Linux, by Klaus-Peter Nischke (3 pp., 1995)
- Pari/GP Tutorial by Akinola Richard Olatokunbo (now offline; archived version)
- Parallel Computation by Bill Allombert
Non-English language
- French tutorials (slides) by Bill Allombert (2017):
- Introduction à PARI/GP (13 pp.)
- Programmation GP (11 pp.)
- Théorie algébrique des nombres (31 pp.)
- Théorie algébrique des nombres avancée (22 pp.)
- Courbes elliptiques sur les corps finis (4 pp.)
- Erste Schritte mit PARI/GP by Lars Fischer (13 pp., 2007; German)
- Pari Gp مع NotPad++ by NoorDeen Rahmani (2020; 2:46; Arabic) -- setting up Notepad++ for syntax highlighting for PARI/GP.
Video tutorials
- Pari/GP Tutorial: Basics by Leandro Junes (2020, 19:04)
- Video demo of RSA in PARI/GP by Maren1955 (2014, 17:39)
- Video tutorials, parts 1 2 3 4 (2011, appx. 20 minutes)
Papers on PARI/GP
- Karim Belabas and Henri Cohen, Modular Forms in Pari/GP, Research in the Mathematical Sciences 5:37 (2018)
- Henri Cohen, Expansions at Cusps and Petersson Products in Pari/GP, Elliptic Integrals, Functions, and Modular Forms in Quantum Field Theory, Nov 2017, Zeuthen, Germany. Springer Wien, Elliptic Integrals, Functions, and Modular Forms in Quantum Field Theory. (2018)
- Karim Belabas and Jean-François Jaulent, The logarithmic class group package in PARI/GP, Mathematical Publications of Besançon, Algebra and Number Theory (2016), pp. 5–18.
- Bill Alombert, A new interpretor for PARI/GP, Journal de Théorie des Nombres de Bordeaux 20:3 (2008), pp. 531–541. (English)
- Paul Zimmermann, The Ups and Downs of PARI/GP in the last 20 years, Explicit Methods in Number Theory, October 15th-19th 2007
- Robert H. Lewis and Michael Wester, Comparison of polynomial-oriented computer algebra systems, ACM SIGSAM Bulletin 33:4 (1999), pp. 5-13.
- Henri Cohen, Computing in algebraic number fields. In P. L. Butzer (ed.) et al., Karl der Grosse und sein Nachwirken. 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen. Turnhout: Brepols. 505-520 (1998)
Subcategories
This category has the following 3 subcategories, out of 3 total.
@
- PARI/GP Implementations (empty)
- PARI/GP User (12 P)
Pages in category "PARI/GP"
The following 6 pages are in this category, out of 606 total.
(previous page) (next page)- Execution method/Interpreted
- Execution method/Compiled
- Garbage collection/Yes
- Parameter passing/By reference
- Parameter passing/By value
- Typing/Weak
- Typing/Checking/Dynamic
- Programming Languages
- Programming paradigm/Dynamic
- Programming paradigm/Functional
- Programming paradigm/Procedural
- Mathematical programming languages