549:? \p 212 realprecision = 221 significant digits (212 digits displayed) ? (1.378-0.09143*I)^(14.87+0.3721*I) time = 0 ms. %1 = 80.817082637557070449383034933010288336925078193546211741027496566803185 11092579265743992920628314516739962724446042667886245322716456966120413965187 3272488827365261487845201056199035423784093096984005713791800191 - 94.8384618 89186304973351271821601500916571303364865064205039706592481303045713982306764 33264430511752515705768858710051382035377195497482934017239179757538824688799 0680136241031895212412150770309289450962931402933*I ? 123456! + 0. \\ slower than gamma(123457) which uses floating point time = 1,656 ms. %2 = 2.6040699049291378729513930560926568818273270409503019584610185579952057 37967683415793560716617127908735520017061666000857261271456698589373086528293 4317244121152865814030204645985573419251305342231135573491050756 E574964 ? sin(x) time = 0 ms. %3 = x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^17) ? for(z=25,30, print (factor(2^z-1))) time = 5 ms. ? K = bnfinit(x^2 + 23); K.cyc time = 1ms. %4 = /* This number field has class number 3. */
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The PARI/GP system is a package that is capable of doing formal computations on recursive types at high speed; it is primarily aimed at number theorists. Its three main strengths are its speed, the possibility of directly using
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giving access to the PARI functions. It functions as a sophisticated programmable calculator which contains most of the control instructions of a standard language like C.
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capability. PARI/GP has some symbolic manipulation capability, e.g., multivariate polynomial and rational function handling. It also has some formal
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The name PARI is a pun about the project's early stages when the authors started to implement a library for "Pascal ARIthmetic" in the
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468:(GNU Multiple Precision Arithmetic Library) providing faster computations than PARI/GP's native arbitrary-precision kernel.
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PARI/GP was originally developed in 1985 by a team led by Henri Cohen at
Laboratoire A2X and is now maintained by
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calculator was originally called GPC, for Great
Programmable Calculator. The trailing C was eventually dropped.
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at the
Université Bordeaux 1 with the help of many volunteer contributors.
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The PARI/GP system consists of the following standard components:
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computations. Versions 2.1.0 and higher are distributed under the
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395:-compiled scripts will typically run three to four times faster.
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can be millions of digits long—and billions of digits on
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375:'s scripting language which can be used to program
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50:, potentially preventing the article from being
426:calculations. It also allows computations with
449:PARI/GP comes with its own built-in graphical
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620:Séminaire de Théorie des Nombres de Bordeaux
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1029:Computer algebra system software for Linux
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70:reliable, independent, third-party sources
476:PARI/GP's progenitor was a program named
88:Learn how and when to remove this message
662:PARI/GP - Mathematical software - swMATH
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64:by replacing them with more appropriate
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47:too closely associated with the subject
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567:Free and open-source software portal
515:(although they quickly switched to
1019:C (programming language) libraries
291:with the main aim of facilitating
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668:SIGSAM Computer Algebra Software
657:PARI/GP Development Headquarters
581:List of computer algebra systems
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391:. The advantage of this is that
138:, Karim Belabas, et al., at the
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45:may rely excessively on sources
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664:with a collection of references
601:"pari-2.15.5 (STABLE) released"
18:PARI/GP computer algebra system
679:Catalogue of GP/PARI Functions
542:Below are some samples of the
399:understands almost all of GP.
363:is an easy-to-use interactive
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1044:Free software programmed in C
1039:Free computer algebra systems
464:PARI/GP can be compiled with
1034:Cross-platform free software
614:François Dress (1979–1980).
910:Engineering Equation Solver
513:Pascal programming language
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705:Port of PARI/GP to Android
422:computations and perform
414:machines). It can compute
297:GNU General Public License
259:GNU General Public License
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699:PARI/GP online calculator
530:The first version of the
299:. It runs on most common
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741:Computer algebra systems
406:calculations (e.g., the
681:; also in downloadable
424:algebraic number theory
289:computer algebra system
247:Computer algebra system
27:Computer algebra system
896:symbolic math toolbox)
365:command line interface
164:; 6 months ago
1024:Command-line software
673:Rosetta Code: PARI/GP
494:Université Bordeaux 1
484:, written in 1979 by
480:, an interpreter for
316:that are familiar to
140:Université Bordeaux 1
639:"TRIVIA" section of
442:and implements many
404:arbitrary precision
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546:calculator usage:
383:Also available is
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121:PARI/GP in use on
1049:Portable software
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675:(sample programs)
482:higher arithmetic
444:special functions
440:algebraic numbers
402:PARI/GP performs
301:operating systems
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626:. exposé № 4.
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78:December 2013
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919:Discontinued
900:SMath Studio
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156:2.15.5
131:Developer(s)
84:
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60:Please help
44:
885:Mathematica
852:Proprietary
749:Open-source
486:Henri Cohen
455:integration
432:polynomials
408:significand
274:.u-bordeaux
196:.u-bordeaux
136:Henri Cohen
1008:Categories
951:Mathomatic
587:References
418:, perform
314:data types
219:Written in
183:Repository
123:Windows XP
62:improve it
52:verifiable
837:Xcas/Giac
797:Macaulay2
688:archive:
507:Etymology
66:citations
980:Category
941:LiveMath
827:Singular
822:SageMath
807:Normaliz
575:SageMath
553:See also
478:Isabelle
451:plotting
428:matrices
946:Macsyma
880:Mathcad
812:PARI/GP
762:Cadabra
686:tarball
683:gzipped
492:at the
472:History
347:Fortran
335:library
285:PARI/GP
265:Website
254:License
167: (
101:PARI/GP
56:neutral
961:ALTRAN
956:muMATH
936:Erable
931:Derive
894:MATLAB
817:Reduce
802:Maxima
777:FriCAS
772:Fermat
412:64-bit
355:Python
343:Pascal
926:CAMAL
890:muPAD
875:Maple
870:Magma
842:Yacas
832:SymPy
792:GiNaC
767:CoCoA
757:Axiom
353:, or
330:is a
287:is a
272:.math
202:/pari
194:.math
992:List
865:KANT
782:FORM
488:and
457:and
397:gp2c
393:gp2c
385:gp2c
351:Perl
328:PARI
270:pari
242:Type
204:.git
200:/git
192:pari
54:and
787:GAP
527:).
466:GMP
339:C++
276:.fr
198:.fr
68:to
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697:•
632:^
622:.
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544:gp
532:gp
496:.
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438:,
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430:,
389:gp
377:gp
373:gp
369:GP
361:gp
357:).
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303:.
892:(
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
