Almkvist-Giullera formula for pi: Difference between revisions
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3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174503
────────────────────────────────────────────── ↑↑↑ the true pi to 160 fractional decimal digits (above) is ↑↑↑ ───────────────────────────────────────────────
</pre>
=={{header|Sidef}}==
<lang ruby>func almkvist_giullera(n) {
(32 * (14*n * (38*n + 9) + 9) * (6*n)!) / (3 * n!**6)
}
func almkvist_giullera_pi(prec = 70) {
local Num!PREC = (4*(prec+1)).numify
var sum = 0
var target = -1
for n in (0..Inf) {
sum += (almkvist_giullera(n) / (10**(6*n + 3)))
var curr = (sum**-.5).as_dec
return target if (target == curr)
target = curr
}
}
say 'First 10 integer portions: '
10.of {|n|
say "#{n} #{almkvist_giullera(n)}"
}
with(70) {|n|
say "π to #{n} decimal places is:"
say almkvist_giullera_pi(n)
}</lang>
{{out}}
<pre>
First 10 integer portions:
0 96
1 5122560
2 190722470400
3 7574824857600000
4 312546150372456000000
5 13207874703225491420651520
6 567273919793089083292259942400
7 24650600248172987140112763715584000
8 1080657854354639453670407474439566400000
9 47701779391594966287470570490839978880000000
π to 70 decimal places is:
3.1415926535897932384626433832795028841971693993751058209749445923078164
</pre>
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