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 pari(func,arg,prec)

:: Call PARI function func.
 return

Depends on func.
 func

Function name of PARI.
 arg

Arguments of func.
 prec

integer

This command connects Asir to PARI system so that several
functions of PARI can be conveniently used from Risa/Asir.

PARI
[Batut et al.] is developed at Bordeaux University, and
distributed as a free software. Though it has a certain facility to computer
algebra, its major target is the operation of numbers (bignum,
bigfloat) related to the number theory. It facilitates various
function evaluations as well as arithmetic operations at a remarkable
speed. It can also be used from other external programs as a library.
It provides a language interface named `gp' to its library, which
enables a user to use PARI as a calculator which runs on UNIX.
The current version is 2.0.17beta. It can be obtained by several ftp
sites. (For example, ftp://megrez.ceremab.ubordeaux.fr/pub/pari .)

The last argument (optional) int specifies the precision in digits
for bigfloat operation.
If the precision is not explicitly specified, operation will be performed
with the precision set by
setprec() .

Currently available functions of PARI system are as follows.
Note these are only a part of functions in PARI system.
For details of individual functions, refer to the PARI manual.
(Some of them can be seen in the following example.)
abs ,
adj ,
arg ,
bigomega ,
binary ,
ceil ,
centerlift ,
cf ,
classno ,
classno2 ,
conj ,
content ,
denom ,
det ,
det2 ,
detr ,
dilog ,
disc ,
discf ,
divisors ,
eigen ,
eintg1 ,
erfc ,
eta ,
floor ,
frac ,
galois ,
galoisconj ,
gamh ,
gamma ,
hclassno ,
hermite ,
hess ,
imag ,
image ,
image2 ,
indexrank ,
indsort ,
initalg ,
isfund ,
isprime ,
ispsp ,
isqrt ,
issqfree ,
issquare ,
jacobi ,
jell ,
ker ,
keri ,
kerint ,
kerintg1 ,
kerint2 ,
kerr ,
length ,
lexsort ,
lift ,
lindep ,
lll ,
lllg1 ,
lllgen ,
lllgram ,
lllgramg1 ,
lllgramgen ,
lllgramint ,
lllgramkerim ,
@break
lllgramkerimgen ,
lllint ,
lllkerim ,
lllkerimgen ,
lllrat ,
lngamma ,
logagm ,
mat ,
matrixqz2 ,
matrixqz3 ,
matsize ,
modreverse ,
mu ,
nextprime ,
norm ,
norml2 ,
numdiv ,
numer ,
omega ,
order ,
ordred ,
phi ,
pnqn ,
polred ,
polred2 ,
primroot ,
psi ,
quadgen ,
quadpoly ,
real ,
recip ,
redcomp ,
redreal ,
regula ,
reorder ,
reverse ,
rhoreal ,
roots ,
rootslong ,
round ,
sigma ,
signat ,
simplify ,
smalldiscf ,
smallfact ,
smallpolred ,
smallpolred2 ,
smith ,
smith2 ,
sort ,
sqr ,
sqred ,
sqrt ,
supplement ,
trace ,
trans ,
trunc ,
type ,
unit ,
vec ,
wf ,
wf2 ,
zeta

Asir currently uses only a very small subset of PARI.
We will improve Asir so that it can provide more functions of
PARI.
/* Eigen vectors of a numerical matrix */
[0] pari(eigen,newmat(2,2,[[1,1],[1,2]]));
[ 1.61803398874989484819771921990 0.61803398874989484826 ]
[ 1 1 ]
/* Roots of a polynomial */
[1] pari(roots,t^22);
[ 1.41421356237309504876 1.41421356237309504876 ]
 References

section
setprec .
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