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author | Kartik K. Agaram <vc@akkartik.com> | 2021-10-19 21:38:48 -0700 |
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committer | Kartik K. Agaram <vc@akkartik.com> | 2021-10-22 19:24:44 -0700 |
commit | 74f8cd15bb43110973deffdeb9dd229797e5b328 (patch) | |
tree | 12d6b5475a786eacf7a5a79b03b2b85621578ec6 /test/factorial.lua | |
download | teliva-74f8cd15bb43110973deffdeb9dd229797e5b328.tar.gz |
new fork of Lua 5.1
https://www.lua.org
Diffstat (limited to 'test/factorial.lua')
-rw-r--r-- | test/factorial.lua | 32 |
1 files changed, 32 insertions, 0 deletions
diff --git a/test/factorial.lua b/test/factorial.lua new file mode 100644 index 0000000..7c4cf0f --- /dev/null +++ b/test/factorial.lua @@ -0,0 +1,32 @@ +-- function closures are powerful + +-- traditional fixed-point operator from functional programming +Y = function (g) + local a = function (f) return f(f) end + return a(function (f) + return g(function (x) + local c=f(f) + return c(x) + end) + end) +end + + +-- factorial without recursion +F = function (f) + return function (n) + if n == 0 then return 1 + else return n*f(n-1) end + end + end + +factorial = Y(F) -- factorial is the fixed point of F + +-- now test it +function test(x) + io.write(x,"! = ",factorial(x),"\n") +end + +for n=0,16 do + test(n) +end |