Almkvist-Giullera formula for pi: Difference between revisions
add PicoLisp
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Pi to 70 d.p.: 3.1415926535897932384626433832795028841971693993751058209749445923078164
Pi (builtin) : 3.1415926535897932384626433832795028841971693993751058209749445923078164
</pre>
=={{header|PicoLisp}}==
<lang PicoLisp>(scl 70)
(de fact (N)
(if (=0 N)
1
(* N (fact (dec N))) ) )
(de almkvist (N)
(let
(A (* 32 (fact (* 6 N)))
B (+ (* 532 N N) (* 126 N) 9)
C (* (** (fact N) 6) 3) )
(/ (* A B) C) ) )
(de integral (N)
(*/
1.0
(almkvist N)
(** 10 (+ 3 (* 6 N))) ) )
(let (S 0 N -1)
(do 10
(println (inc 'N) (almkvist N)) )
(prinl)
(setq N -1)
(while (gt0 (integral (inc 'N)))
(inc 'S @) )
(setq S (sqrt (*/ 1.0 1.0 S) 1.0))
(prinl "Pi to 70 decimal places is:")
(prinl (format S *Scl)) )</lang>
{{out}}
<pre>
0 96
1 5122560
2 190722470400
3 7574824857600000
4 312546150372456000000
5 13207874703225491420651520
6 567273919793089083292259942400
7 24650600248172987140112763715584000
8 1080657854354639453670407474439566400000
9 47701779391594966287470570490839978880000000
Pi to 70 decimal places is:
3.1415926535897932384626433832795028841971693993751058209749445923078152
</pre>
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