diff options
-rw-r--r-- | samples/rosetta/universal_lambda_machine.bruijn | 28 | ||||
-rw-r--r-- | std/Combinator.bruijn | 2 | ||||
-rw-r--r-- | std/Meta.bruijn | 30 | ||||
-rw-r--r-- | std/Number/Conversion.bruijn | 12 |
4 files changed, 48 insertions, 24 deletions
diff --git a/samples/rosetta/universal_lambda_machine.bruijn b/samples/rosetta/universal_lambda_machine.bruijn index 2f003ce..60ba551 100644 --- a/samples/rosetta/universal_lambda_machine.bruijn +++ b/samples/rosetta/universal_lambda_machine.bruijn @@ -1,6 +1,6 @@ :import std/Combinator . :import std/Number/Binary . -:import std/Meta . +:import std/Meta M :import std/List . # converts string to list of bits @@ -13,7 +13,27 @@ blc→str map [0 '0' '1'] :test (blc→str ([[1]] : ([[1]] : ([[0]] : {}[[1]])))) ("0010") -# reduces BLC string to BLC string -main str→blc → blc→meta → β* → meta→blc → blc→str +# evaluates BLC string +main str→blc → M.blc→meta+rest → &M.eval → blc→str -:test (main "0010") ("0010") +# --- tests --- + +id "0010" + +# 342 bit IO example +io "010100011010000000011000010110011110000010010111110111100001010110000000011000011111000000101111110110010111111011001011110100111010111100010000001011100101010001101000000000010110000101011111101111100000010101111011111011111100001011000000101111111010110111000000111111000010110111101110011110100000010110000011011000100000101111000111001110" + +# quine example +quine "000101100100011010000000000001011011110010111100111111011111011010000101100100011010000000000001011011110010111100111111011111011010" + +# 100 doors example +doors "0001000100010101000110100000010110000011001110110010100011010000000000101111111000000101111101011001011001000110100001111100110100101111101111000000001011111111110110011001111111011100000000101111110000001011111010110011011100101011000000101111011001011110011110011110110100000000001011011100111011110000000001000000111001110100000000101101110110" + +# sieve of Eratosthenes example +primes "00010001100110010100011010000000010110000010010001010111110111101001000110100001110011010000000000101101110011100111111101111000000001111100110111000000101100000110110" + +:test (main id) (empty) +:test (main io) ("11010") +:test (main quine) (quine) +:test (take (+20) (main doors)) ("10010000100000010000") +:test (take (+20) (main primes)) ("00110101000101000101") diff --git a/std/Combinator.bruijn b/std/Combinator.bruijn index 81db105..7199c77 100644 --- a/std/Combinator.bruijn +++ b/std/Combinator.bruijn @@ -157,6 +157,8 @@ s [[[2 0 (1 0)]]] ⧗ (a → b → c) → (a → b) → a → c # thrush combinator: flipped $ t [[0 1]] ⧗ a → (a → b) → b +&‣ t + …&… t # turing combinator diff --git a/std/Meta.bruijn b/std/Meta.bruijn index 5f8da84..3b4ccbd 100644 --- a/std/Meta.bruijn +++ b/std/Meta.bruijn @@ -94,24 +94,26 @@ blc1 [[0]] ⧗ LcBit blc0 [[1]] ⧗ LcBit # converts blc index to meta index + rest -blc→unary y [[[rec]]] (+0u) ⧗ (List LcBit) → (Pair Meta (List LcBit)) +blc→unary+rest y [[[rec]]] (+0u) ⧗ (List LcBit) → (Pair Meta (List LcBit)) rec 0 [[1 case-end case-rec]] case-rec 4 ++3 0 case-end (idx --3) : 0 -:test (blc→unary (blc1 : {}blc0)) (`0 : [[0]]) -:test (blc→unary (blc1 : (blc1 : {}blc0))) (`1 : [[0]]) -:test (blc→unary (blc1 : (blc1 : (blc1 : {}blc0)))) (`2 : [[0]]) -:test (blc→unary (blc1 : (blc1 : (blc1 : (blc0 : {}blc1))))) (`2 : {}blc1) +:test (blc→unary+rest (blc1 : {}blc0)) (`0 : [[0]]) +:test (blc→unary+rest (blc1 : (blc1 : {}blc0))) (`1 : [[0]]) +:test (blc→unary+rest (blc1 : (blc1 : (blc1 : {}blc0)))) (`2 : [[0]]) +:test (blc→unary+rest (blc1 : (blc1 : (blc1 : (blc0 : {}blc1))))) (`2 : {}blc1) # converts blc list to meta term # TODO: use CSP instead? -blc→meta head ∘ (y [[rec]]) ⧗ (List LcBit) → Meta +blc→meta+rest y [[rec]] ⧗ (List LcBit) → (Pair Meta (List LcBit)) rec 0 [[1 case-0 case-1]] case-0 ^0 case-00 case-01 case-00 3 ~0 [[(abs 1) : 0]] case-01 3 ~0 [[5 0 [[(app 3 1) : 0]]]] - case-1 blc→unary 2 + case-1 blc→unary+rest 2 + +blc→meta head ∘ blc→meta+rest ⧗ (List LcBit) → Meta :test (blc→meta (blc0 : (blc0 : (blc1 : {}blc0)))) (`[0]) :test (blc→meta (blc0 : (blc0 : (blc0 : (blc0 : (blc0 : (blc1 : (blc1 : (blc1 : (blc0 : (blc1 : (blc1 : {}blc0)))))))))))) (`[[1 1]]) @@ -254,21 +256,21 @@ map [[0 case-idx case-app case-abs]] ⧗ (Meta → Meta) → Meta → Meta # inspired by Helmut Brandl's and Steve Goguen's work # uses ternary for lower space complexity encode fold idx-cb app-cb abs-cb ⧗ Meta → Number - idx-cb (pair-ternary (+0)) ∘ unary-to-ternary + idx-cb (pair-ternary (+0)) ∘ unary→ternary app-cb (pair-ternary (+1)) ∘∘ pair-ternary abs-cb pair-ternary (+2) -:test (ternary-to-unary (encode `0)) ((+0u)) -:test (ternary-to-unary (encode `1)) ((+1u)) -:test (ternary-to-unary (encode `(0 0))) ((+3u)) -:test (ternary-to-unary (encode `[1])) ((+7u)) -:test (ternary-to-unary (encode `[0])) ((+8u)) +:test (ternary→unary (encode `0)) ((+0u)) +:test (ternary→unary (encode `1)) ((+1u)) +:test (ternary→unary (encode `(0 0))) ((+3u)) +:test (ternary→unary (encode `[1])) ((+7u)) +:test (ternary→unary (encode `[0])) ((+8u)) # decodes ternary encoding back to meta term # TODO: improve performance (maybe with different unpairing function or better sqrt) decode y [[unpair-ternary 0 go]] ⧗ Number → Meta go [[(case-idx : (case-app : {}case-abs)) !! 1 0]] - case-idx idx ∘ ternary-to-unary + case-idx idx ∘ ternary→unary case-app [unpair-ternary 0 (ψ app 4)] case-abs abs ∘ 3 diff --git a/std/Number/Conversion.bruijn b/std/Number/Conversion.bruijn index fe7e63c..41ddf38 100644 --- a/std/Number/Conversion.bruijn +++ b/std/Number/Conversion.bruijn @@ -5,13 +5,13 @@ :import std/Number/Ternary T # converts unary numbers to ternary -unary-to-ternary [0 T.inc (+0)] ⧗ Unary → Ternary +unary→ternary [0 T.inc (+0)] ⧗ Unary → Ternary -:test (unary-to-ternary (+0u)) ((+0)) -:test (unary-to-ternary (+2u)) ((+2)) +:test (unary→ternary (+0u)) ((+0)) +:test (unary→ternary (+2u)) ((+2)) # converts ternary numbers to unary -ternary-to-unary [T.apply 0 U.inc (+0u)] ⧗ Ternary → Unary +ternary→unary [T.apply 0 U.inc (+0u)] ⧗ Ternary → Unary -:test (ternary-to-unary (+0)) ((+0u)) -:test (ternary-to-unary (+2)) ((+2u)) +:test (ternary→unary (+0)) ((+0u)) +:test (ternary→unary (+2)) ((+2u)) |