aparler/RosettaCodeData
1
0
Fork 0
Code Issues 12 Pull requests 3 Projects Releases Packages Wiki Activity Actions

Initial data commit

Browse source
This commit is contained in:
Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
199087 changed files with 3378941 additions and 0 deletions
Download patch file Download diff file Expand all files Collapse all files

68
Task/Tonelli-Shanks-algorithm/PicoLisp/tonelli-shanks-algorithm.l Normal file
View file

@ -0,0 +1,68 @@
# from @lib/rsa.l
(de **Mod (X Y N)
(let M 1
(loop
(when (bit? 1 Y)
(setq M (% (* M X) N)) )
(T (=0 (setq Y (>> 1 Y)))
M )
(setq X (% (* X X) N)) ) ) )
(de legendre (N P)
(**Mod N (/ (dec P) 2) P) )
(de ts (N P)
(and
(=1 (legendre N P))
(let
(Q (dec P)
S 0
Z 0
C 0
R 0
D 0
M 0
B 0
I 0 )
(until (bit? 1 Q)
(setq Q (>> 1 Q))
(inc 'S) )
(if (=1 S)
(list
(setq @@ (**Mod N (/ (inc P) 4) P))
(- P @@) )
(setq Z 2)
(until (= (legendre Z P) (dec P))
(inc 'Z) )
(setq
C (**Mod Z Q P)
R (**Mod N (/ (inc Q) 2) P)
D (**Mod N Q P)
M S )
(until (=1 D)
(zero I)
(for
(Z
D
(and (<> Z 1) (< I (dec M)))
(setq Z (% (* Z Z) P)) )
(inc 'I) )
(setq B C)
(for
(Z
(- M I 1)
(> Z 0) (dec Z) )
(setq B (% (* B B) P)) )
(setq
R (% (* R B) P)
C (% (* B B) P)
D (% (* D C) P)
M I ) )
(list R (- P R)) ) ) ) )
(println (ts 10 13))
(println (ts 56 101))
(println (ts 1030 10009))
(println (ts 1032 10009))
(println (ts 44402 100049))
(println (ts 665820697 1000000009))
(println (ts 881398088036 1000000000039))
(println (ts 41660815127637347468140745042827704103445750172002 (+ (** 10 50) 577)))