Gamma function: Difference between revisions

</pre>

=={{header|Wren}}==

{{trans|Kotlin}}

{{libheader|Wren-fmt}}

{{libheader|Wren-math}}

The ''gamma'' method in the Math class is based on the Lanczos approximation.

<lang ecmascript>import "/fmt" for Fmt

import "/math" for Math

var stirling = Fn.new { |x| (2 * Num.pi / x).sqrt * (x / Math.e).pow(x) }

System.print(" x\tStirling\t\tLanczos\n")

for (i in 1..20) {

var d = i / 10

System.write("%(Fmt.f(4, d, 2))\t")

System.write("%(Fmt.f(16, stirling.call(d), 14))\t")

System.print("%(Fmt.f(16, Math.gamma(d), 14))")

}</lang>

{{out}}

<pre>

x Stirling Lanczos

0.10 5.69718714897717 9.51350769866875

0.20 3.32599842402239 4.59084371199881

0.30 2.36253003626962 2.99156898768760

0.40 1.84147633593624 2.21815954375769

0.50 1.52034690106628 1.77245385090552

0.60 1.30715885744836 1.48919224881282

0.70 1.15905329211392 1.29805533264756

0.80 1.05337096842561 1.16422971372530

0.90 0.97706150787770 1.06862870211932

1.00 0.92213700889579 1.00000000000000

1.10 0.88348995316870 0.95135076986687

1.20 0.85775533539659 0.91816874239976

1.30 0.84267825944839 0.89747069630628

1.40 0.83674454863708 0.88726381750308

1.50 0.83895655252650 0.88622692545276

1.60 0.84869324215257 0.89351534928769

1.70 0.86562147179388 0.90863873285329

1.80 0.88963963528799 0.93138377098024

1.90 0.92084272189423 0.96176583190739

2.00 0.95950217574449 1.00000000000000