PARI/GP For Linux

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 is also available as a C library to allow for faster computations.

Originally developed by Henri Cohen and his co-workers (Universit� Bordeaux I, France), the PARI/GP project is now under the GPL and maintained by Karim Belabas with the help of many volunteer contributors.

· PARI is a C library, allowing fast computations. · gp is an easy-to-use interactive shell giving access to the PARI functions. · GP is the name of gp's scripting language. · gp2c, the GP-to-C compiler, combines the best of both worlds by compiling GP scripts to the C language and transparently loading the resulting functions into gp. (gp2c-compiled scripts will typically run 3 or 4 times faster.) gp2c currently only understands a subset of the GP language.

Requirements:

· readline

What's New in This Release:

Fixed: 1- remove hack in internal function 'readbin' that used the clone bit as a special marker hence returned an invalid object, which could be propagated to higher level public functions. [F4] 2- bitnegimply(1,2^65) returned a wrong result [#560] [F6] 3- nfeltreduce(nf,t_POLMOD,id) didn't work [#558] [F7] 4- segv in polrootspadic / repeated roots in FpX_root (only in deg 2) [F9] 5- numbpart inaccurate (and slow). E.g numbpart(52602) off by 1 [#557][F12] 6- remove type assumptions in mulcxI, mulcxmI: unsafe [#516]] [F14] 7- (y/x)/(x^0/y) not correctly simplified [F16] 8- sumpos(x=1,1/x^2,1) had the wrong sign [#587] [F21] 9- default(compatible,3); default(compatible,1) --> case no longer[F47] taken into account (I = i) [#629] 10- possible oo loop in _isprincipal [ precision was supposed to increase, but could in fact remain the same ][F81] 11- agm(-1, 1+1e-55) --> oo loop, agm(-1,1) --> wrong result[F27] 12- read("a b.gz")\ filename contains a space [F34] gzip: ./a.gz: No such file or directory 13- quadgen([]) --> incorrect object [#606][F31] 14- hyperu(0,1,1) --> oo loop [#608][F32] 15- fix headers so that ulong is always defined[F33] 16- gclone didn't work on t_INTs with lg > lgefint [F37] 17- exp(2^200*I) --> catastrophic cancellation [cos/sin were OK] [#631][F45] 18- [Configure] don't rely on $CC exit status, check whether a non-0 size executable is produced [ problems with tcc ][F55] 19- wrong Prototype for subgrouplist [ extra 'p' ] [F56] 20- nf.codiff was only correct up to multiplication by some rational number [cf #510 & 2.4.1-F7][F58] 21- typo in bnfisintnorm(): missed some solutions [ couldn't find a unit of norm -1 even though one exists ][F74] 22- dilog(-1) [ more generally polylog of < 0 t_REALs ] should have 0 imaginary part[F84] 23- ix86, x86_64: missing earlyclobber constraint for addllx, subllx, [F87] divll 24- deriv(x/(x+1),y) --> invalid t_RFRAC with exact 0 numerator [#687] [F90] 25- factornf(x^5+(-a+2)*x^4-a*x^3+(3*a-6)*x^2+(5*a-10)*x+(2*a-5), a^2-5) --> SEGV [ not squarefree -> denominators creeping in ] [#708][F110] 26- fix compilation problem with g++-4.2 and GMP[F94] 27- missing GP2C descriptions for Pol and Polrev [F114] 28- typo in FpM_gauss_pivot: FpM_rank, FpM_image, FpM_suppl, FpM_indexrank much slower than they should be. Same problem in FqM_gauss_pivot. [F113]