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This package offers an “FFI”-based interface to PARI.
The package “PARI”
is :CASE-SENSITIVE.
When this module is present, *FEATURES* contains the
symbol :PARI.
PARI objects are printed and read using a special
#Z"" syntax.
Most functions accept lisp objects as well as PARI objects and
return PARI objects, which can be converted to lisp using the
pari:pari-to-lisp function.
See modules/pari/test.tst
for sample usage.
Not all PARI functions have a corresponding lisp function yet, but one remedy that with just a few lines:
(FFI:DEFAULT-FOREIGN-LIBRARY "libpari.so") ; or pari.dll on Win32
(pari:pari-call-out (matrix-rank ffi:long) "rank" (x)) ; long rank(GEN x);
(pari:pari-call-out fibonacci "fibo" ((n ffi:long))) ; GEN fibo(long n);
(pari:pari-call-out-prec pari-arctan "gatan" (x)) ; GEN gatan(GEN x, long prec);
(pari:pari-call-out (equal? boolean) "gequal" (x y)) ; GEN gequal(GEN x, GEN y);
(Actually, these four functions are already present in the module.)
Please feel free to submit additions for
modules/pari/pari.lisp
and modules/pari/test.tst.
The real precision defaults to pari:pari-real-precision
which specifies the default precision in decimal digits:
pari:pari-real-precision ⇒19(LENGTH(PRIN1-TO-STRING(pari:pari-to-lisp (pari:pari-pi)))) ⇒23
One can also pass the precision parameter explicitly:
(LENGTH(PRIN1-TO-STRING(pari:pari-to-lisp (pari:pari-pi :prec 38)))) ⇒41
Note that the actual precision is determined by the
size of the mantissa which can be incremented only in steps of
( (64 bits or 32 bits).FFI:BITSIZEOF 'ffi:ulong)
| These notes document CLISP version 2.49 | Last modified: 2010-07-07 |
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