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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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@ -0,0 +1,17 @@
func continued_fraction(a, b, f, n = 1000, r = 1) {
f(func (r) {
r < n ? (a(r) / (b(r) + __FUNC__(r+1))) : 0
}(r))
}
var params = Hash(
"φ" => [ { 1 }, { 1 }, { 1 + _ } ],
"√2" => [ { 1 }, { 2 }, { 1 + _ } ],
"e" => [ { _ }, { _ }, { 1 + 1/_ } ],
"π" => [ { (2*_ - 1)**2 }, { 6 }, { 3 + _ } ],
"τ" => [ { _**2 }, { 2*_ + 1 }, { 8 / (1 + _) } ],
)
for k in (params.keys.sort) {
printf("%2s ≈ %s\n", k, continued_fraction(params{k}...))
}