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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/README.md b/README.md new file mode 100644 index 0000000..0684cf5 --- /dev/null +++ b/README.md @@ -0,0 +1,3 @@ +# purescript-matryoshka + +A PureScript port of [Matryoshka](https://github.com/slamdata/matryoshka). Work still in progress. diff --git a/bower.json b/bower.json new file mode 100644 index 0000000..2c1f15d --- /dev/null +++ b/bower.json @@ -0,0 +1,22 @@ +{ + "name": "purescript-matryoshka", + "homepage": "https://github.com/slamdata/purescript-matryoshka", + "license": "Apache-2.0", + "repository": { + "type": "git", + "url": "git://github.com/slamdata/purescript-matryoshka.git" + }, + "ignore": [ + "**/.*", + "bower_components", + "node_modules", + "output", + "bower.json", + "package.json" + ], + "dependencies": { + "purescript-fixed-points": "^2.0.0", + "purescript-free": "^3.0.1", + "purescript-transformers": "^2.0.2" + } +} diff --git a/package.json b/package.json new file mode 100644 index 0000000..a0eb217 --- /dev/null +++ b/package.json @@ -0,0 +1,13 @@ +{ + "private": true, + "scripts": { + "clean": "rimraf output && rimraf .pulp-cache", + "build": "pulp build -- --censor-lib --strict" + }, + "devDependencies": { + "pulp": "^10.0.0", + "purescript": "^0.10.3", + "purescript-psa": "^0.4.0", + "rimraf": "^2.5.4" + } +} diff --git a/src/Matryoshka/Algebra.purs b/src/Matryoshka/Algebra.purs new file mode 100644 index 0000000..22deafc --- /dev/null +++ b/src/Matryoshka/Algebra.purs @@ -0,0 +1,29 @@ +{- +Copyright 2016 SlamData, Inc. + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. +-} + +module Matryoshka.Algebra where + +type GAlgebra w f a = f (w a) → a + +type GAlgebraM w m f a = f (w a) → m a + +type Algebra f a = f a → a + +type AlgebraM m f a = f a → m a + +type ElgotAlgebra w f a = w (f a) → a + +type ElgotAlgebraM w m f a = w (f a) → m a diff --git a/src/Matryoshka/DistributiveLaw.purs b/src/Matryoshka/DistributiveLaw.purs new file mode 100644 index 0000000..be6424c --- /dev/null +++ b/src/Matryoshka/DistributiveLaw.purs @@ -0,0 +1,52 @@ +{- +Copyright 2016 SlamData, Inc. + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. +-} + +module Matryoshka.DistributiveLaw where + +import Prelude + +import Control.Comonad (class Comonad, extract) +import Control.Comonad.Trans.Class (lower) +import Control.Comonad.Env.Trans (EnvT(..), runEnvT) +import Control.Comonad.Cofree (Cofree, unfoldCofree, tail) + +import Data.Tuple (Tuple(..), fst, snd) + +import Matryoshka.Algebra (Algebra) + +type DistributiveLaw f w = ∀ a. f (w a) → w (f a) + +distZygo ∷ ∀ f a. Functor f ⇒ Algebra f a → DistributiveLaw f (Tuple a) +distZygo g m = Tuple (g (map fst m)) (map snd m) + +distZygoT + ∷ ∀ f w a + . (Functor f, Comonad w) + ⇒ Algebra f a + → DistributiveLaw f w + → DistributiveLaw f (EnvT a w) +distZygoT g k fe = + EnvT $ Tuple (g (fst <<< runEnvT <$> fe)) (k (lower <$> fe)) + +distHisto ∷ forall f. Functor f ⇒ DistributiveLaw f (Cofree f) +distHisto = distGHisto id + +distGHisto + ∷ ∀ f h + . (Functor f, Functor h) + ⇒ DistributiveLaw f h + → DistributiveLaw f (Cofree h) +distGHisto k x = unfoldCofree x (map extract) (k <<< map tail) diff --git a/src/Matryoshka/Recursive.purs b/src/Matryoshka/Recursive.purs new file mode 100644 index 0000000..f52a61f --- /dev/null +++ b/src/Matryoshka/Recursive.purs @@ -0,0 +1,169 @@ +{- +Copyright 2016 SlamData, Inc. + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. +-} + +module Matryoshka.Recursive where + +import Prelude + +import Control.Comonad (class Comonad, duplicate, extract) +import Control.Comonad.Cofree (Cofree) +import Control.Comonad.Env.Trans (EnvT) + +import Data.Functor.Mu (Mu, unroll) +import Data.Traversable (class Traversable, traverse) +import Data.Tuple (Tuple(..)) +import Matryoshka.Algebra (Algebra, AlgebraM, ElgotAlgebra, GAlgebra, GAlgebraM) +import Matryoshka.DistributiveLaw (DistributiveLaw, distGHisto, distHisto, distZygo, distZygoT) + +class Functor f ⇐ Recursive t f | t → f where + project ∷ t → f t + +instance recursiveMu ∷ Functor f ⇒ Recursive (Mu f) f where + project = unroll + +cata ∷ ∀ f t a. Recursive t f ⇒ Algebra f a → t → a +cata f = go + where + go t = f $ map go $ project t + +cataM + ∷ ∀ f t m a + . (Recursive t f, Monad m, Traversable f) + ⇒ AlgebraM m f a + → t + → m a +cataM f = go + where + go t = f =<< traverse go (project t) + +gcata + ∷ ∀ f t w a + . (Recursive t f, Comonad w) + ⇒ DistributiveLaw f w + → GAlgebra w f a + → t + → a +gcata k g = g <<< extract <<< go + where + go t = k $ map (duplicate <<< map g <<< go) (project t) + +elgotCata + ∷ ∀ f t w a + . (Recursive t f, Comonad w) + ⇒ DistributiveLaw f w + → ElgotAlgebra w f a + → t + → a +elgotCata k g = g <<< go + where + go t = k $ map (map g <<< duplicate <<< go) (project t) + +para ∷ ∀ f t a. Recursive t f ⇒ GAlgebra (Tuple t) f a → t → a +para f = go + where + go ∷ t → a + go t = f (g <$> project t) + g ∷ t → Tuple t a + g t = Tuple t (go t) + +elgotPara ∷ ∀ f t a. Recursive t f ⇒ ElgotAlgebra (Tuple t) f a → t → a +elgotPara f = go + where + go t = f (Tuple t (go <$> project t)) + +paraM + ∷ ∀ f t m a + . (Recursive t f, Monad m, Traversable f) + ⇒ GAlgebraM (Tuple t) m f a + → t + → m a +paraM f = go + where + go t = f =<< traverse (map (Tuple t) <<< go) (project t) + +zygo + ∷ ∀ f t a b + . Recursive t f + ⇒ Algebra f b + → GAlgebra (Tuple b) f a + → t + → a +zygo = gcata <<< distZygo + +elgotZygo + ∷ ∀ f t a b + . Recursive t f + ⇒ Algebra f b + → ElgotAlgebra (Tuple b) f a + → t + → a +elgotZygo = elgotCata <<< distZygo + +gzygo + ∷ ∀ f t w a b + . (Recursive t f, Comonad w) + ⇒ Algebra f b + → DistributiveLaw f w + → GAlgebra (EnvT b w) f a + → t + → a +gzygo f w = gcata (distZygoT f w) + +gElgotZygo + ∷ ∀ f t w a b + . (Recursive t f, Comonad w) + ⇒ Algebra f b + → DistributiveLaw f w + → ElgotAlgebra (EnvT b w) f a + → t + → a +gElgotZygo f w = elgotCata (distZygoT f w) + +mutu + ∷ ∀ f t a b + . Recursive t f + ⇒ GAlgebra (Tuple a) f b + → GAlgebra (Tuple b) f a + → t + → a +mutu f g = g <<< map go <<< project + where + go x = Tuple (mutu g f x) (mutu f g x) + +histo + ∷ ∀ f t a + . Recursive t f + ⇒ GAlgebra (Cofree f) f a + → t + → a +histo = gcata distHisto + +elgotHisto + ∷ ∀ f t a + . Recursive t f + ⇒ ElgotAlgebra (Cofree f) f a + → t + → a +elgotHisto = elgotCata distHisto + +ghisto + ∷ ∀ f t h a + . (Recursive t f, Functor h) + ⇒ DistributiveLaw f h + → GAlgebra (Cofree h) f a + → t + → a +ghisto g = gcata (distGHisto g)