Safe Haskell | None |
---|---|

Language | Haskell2010 |

A variant of `Rec`

whose values have eliminated common syntactic
clutter due to `Identity`

, `Compose`

, and `ElField`

type
constructors.

A common pain point with using `Rec`

is the mandatory *context* of
each value. A basic record might look like this, ```
Identity "joe" :&
Identity 23 :& RNil :: Rec Identity '[String, Int]
```

. The `Identity`

constructors are a nuisance, so we offer a way of avoiding them:
`"joe" ::& 23 ::& XRNil :: XRec Identity '[String,Int]`

. Facilities
are provided for converting between `XRec`

and `Rec`

so that the
`Rec`

API is available even if you choose to use `XRec`

for
construction or pattern matching.

## Synopsis

- type XRec f = Rec (XData f)
- pattern (::&) :: HKD f r -> XRec f rs -> XRec f (r ': rs)
- pattern XRNil :: XRec f '[]
- rmapX :: forall f g rs. (XRMap f g rs, IsoXRec f rs, IsoXRec g rs) => (forall a. HKD f a -> HKD g a) -> Rec f rs -> Rec g rs
- rmapXEndo :: forall f rs. (XRMap f f rs, IsoXRec f rs) => (forall a. HKD f a -> HKD f a) -> Rec f rs -> Rec f rs
- xrmap :: forall f g rs. XRMap f g rs => (forall a. HKD f a -> HKD g a) -> XRec f rs -> XRec g rs
- newtype XData t a = XData {}
- class XRMap (f :: u -> *) (g :: u -> *) (rs :: [u]) where
- class XRApply f g rs where
- class IsoXRec f ts where
- class IsoHKD (f :: u -> *) (a :: u) where
- type HKD f a

# Documentation

rmapX :: forall f g rs. (XRMap f g rs, IsoXRec f rs, IsoXRec g rs) => (forall a. HKD f a -> HKD g a) -> Rec f rs -> Rec g rs Source #

rmapXEndo :: forall f rs. (XRMap f f rs, IsoXRec f rs) => (forall a. HKD f a -> HKD f a) -> Rec f rs -> Rec f rs Source #

This is `rmapX`

specialized to a type at which it does not change
interpretation functor. This can help with type inference.

xrmap :: forall f g rs. XRMap f g rs => (forall a. HKD f a -> HKD g a) -> XRec f rs -> XRec g rs Source #

This is `rmap`

for `XRec`

. We apply a natural transformation
between interpretation functors to transport a record value between
interpretations.

class XRMap (f :: u -> *) (g :: u -> *) (rs :: [u]) where Source #

The implementation of `xrmap`

is broken into a type class to
permit unrolling of the recursion across a record. The function
mapped across the vector hides the `HKD`

type family under a newtype
constructor to help the type checker.

class XRApply f g rs where Source #

Like `rapply`

: record of components `f r -> g r`

may be applied
to a record of `f`

to get a record of `g`

.

class IsoXRec f ts where Source #

Conversion between `XRec`

and `Rec`

. It is convenient to build
and consume `XRec`

values to reduce syntactic noise, but `Rec`

has
a richer API that is difficult to build around the `HKD`

type
family.

class IsoHKD (f :: u -> *) (a :: u) where Source #

Isomorphism between a syntactically noisy value and a concise
one. For types like, `Identity`

, we prefer to work with values of
the underlying type without writing out the `Identity`

constructor. For

, aka `Compose`

f g a`(f :. g) a`

, we prefer to
work directly with values of type `f (g a)`

.

This involves the so-called *higher-kinded data* type family. See
http://reasonablypolymorphic.com/blog/higher-kinded-data for more
discussion.

unHKD :: HKD f a -> f a Source #

unHKD :: HKD f a ~ f a => HKD f a -> f a Source #

## Instances

(IsoHKD f (HKD g a), IsoHKD g a, Functor f) => IsoHKD (Compose f g :: u -> *) (a :: u) Source # | Work with values of type |

(IsoHKD f a, IsoHKD g a) => IsoHKD (Lift ((->) :: * -> * -> *) f g :: u -> *) (a :: u) Source # | Work with values of type |

IsoHKD Maybe (a :: *) Source # | |

IsoHKD IO (a :: *) Source # | |

IsoHKD First (a :: *) Source # | |

IsoHKD Last (a :: *) Source # | |

IsoHKD Sum (a :: *) Source # | Work with values of type |

IsoHKD Product (a :: *) Source # | Work with values of type |

IsoHKD Identity (a :: *) Source # | Work with values of type |

IsoHKD (Either a :: * -> *) (b :: *) Source # | |

IsoHKD ((,) a :: * -> *) (b :: *) Source # | |

KnownSymbol s => IsoHKD ElField ((,) s a :: (Symbol, Type)) Source # | Work with values of type |