# Difference between revisions of "Zygohistomorphic prepromorphisms"

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− | Used when you really need both semi-mutual recursion and history and to repeatedly apply a natural transformation as you get deeper into the functor. |
+ | Used when you really need both semi-mutual recursion and history and to repeatedly apply a natural transformation as you get deeper into the functor. Zygo implements semi-mutual recursion like a zygomorphism. Para gives you access to your result à la paramorphism. |

<pre> |
<pre> |
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− | zygohistomorphic_prepromorphism :: Algebra f b -> GAlgebra f (Cofree f) a -> (f :~> f) -> FixF f -> a |
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+ | import Control.Morphism.Zygo |
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− | zygohistomorphic_prepromorphism f = g_prepro (distZygoT (liftAlgebra f) (distHisto id)) -- unless you want a generalized zygomorphism. |
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+ | import Control.Morphism.Prepro |
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+ | import Control.Morphism.Histo |
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+ | import Control.Functor.Algebra |
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+ | import Control.Functor.Extras |
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+ | |||

+ | zygoHistoPrepro |
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+ | :: (Unfoldable t, Foldable t) |
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+ | => (Base t b -> b) |
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+ | -> (forall c. Base t c -> Base t c) |
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+ | -> (Base t (EnvT b (Stream (Base t)) a) -> a) |
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+ | -> t |
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+ | -> a |
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+ | zygoHistoPrepro f g t = gprepro (distZygoT f distHisto) g t |
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+ | -- unless you want a generalized zygomorphism. |
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</pre> |
</pre> |

## Revision as of 21:03, 20 February 2011

Used when you really need both semi-mutual recursion and history and to repeatedly apply a natural transformation as you get deeper into the functor. Zygo implements semi-mutual recursion like a zygomorphism. Para gives you access to your result à la paramorphism.

import Control.Morphism.Zygo import Control.Morphism.Prepro import Control.Morphism.Histo import Control.Functor.Algebra import Control.Functor.Extras zygoHistoPrepro :: (Unfoldable t, Foldable t) => (Base t b -> b) -> (forall c. Base t c -> Base t c) -> (Base t (EnvT b (Stream (Base t)) a) -> a) -> t -> a zygoHistoPrepro f g t = gprepro (distZygoT f distHisto) g t -- unless you want a generalized zygomorphism.