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Diffstat (limited to 'samples/rosetta/special_factorial.bruijn')
| -rw-r--r-- | samples/rosetta/special_factorial.bruijn | 40 |
1 files changed, 40 insertions, 0 deletions
diff --git a/samples/rosetta/special_factorial.bruijn b/samples/rosetta/special_factorial.bruijn new file mode 100644 index 0000000..588a95f --- /dev/null +++ b/samples/rosetta/special_factorial.bruijn @@ -0,0 +1,40 @@ +:import std/Combinator . +:import std/List . +:import std/Math . + +factorial [∏ (+1) → 0 | [0]] + +superfactorial [∏ (+1) → 0 | factorial] + +hyperfactorial [∏ (+1) → 0 | [0 ** 0]] + +alternating-factorial y [[=?0 0 ((factorial 0) - (1 --0))]] + +exponential-factorial y [[=?0 0 (0 ** (1 --0))]] + +:test ((factorial (+4)) =? (+24)) ([[1]]) +:test ((superfactorial (+4)) =? (+288)) ([[1]]) +:test ((hyperfactorial (+4)) =? (+27648)) ([[1]]) +:test ((alternating-factorial (+3)) =? (+5)) ([[1]]) +:test ((exponential-factorial (+4)) =? (+262144)) ([[1]]) + +invfac y [[[compare-case 1 (2 ++1 0) (-1) 0 (∏ (+0) → --1 | ++‣)]]] (+0) + +:test ((invfac (+1)) =? (+0)) ([[1]]) +:test ((invfac (+2)) =? (+2)) ([[1]]) +:test ((invfac (+6)) =? (+3)) ([[1]]) +:test ((invfac (+24)) =? (+4)) ([[1]]) +:test ((invfac (+120)) =? (+5)) ([[1]]) +:test ((invfac (+720)) =? (+6)) ([[1]]) +:test ((invfac (+5040)) =? (+7)) ([[1]]) +:test ((invfac (+40320)) =? (+8)) ([[1]]) +:test ((invfac (+362880)) =? (+9)) ([[1]]) +:test ((invfac (+3628800)) =? (+10)) ([[1]]) +:test ((invfac (+119)) =? (-1)) ([[1]]) + +seq-a [((superfactorial 0) : ((hyperfactorial 0) : {}(alternating-factorial 0)))] <$> (iterate ++‣ (+0)) + +seq-b exponential-factorial <$> (iterate ++‣ (+0)) + +# return first 10/4 elements of both sequences +main [(take (+10) seq-a) : {}(take (+5) seq-b)] |