total-map alternatives and similar packages
Based on the "data" category.
Alternatively, view total-map alternatives based on common mentions on social networks and blogs.
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interpolatedstring-perl6
QuasiQuoter for Perl6-style multi-line interpolated strings with q, qq and qc support. -
language-hcl
language-hcl contains HCL (Hashicorp Configuration Language) parsers and pretty-printers for the Haskell programming language -
data-structure-inferrer
A program that analyzes source code with a data-structure wildcard and suggests the right one.
CodeRabbit: AI Code Reviews for Developers
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README
The usual finite map type (Map
from Data.Map
) is not an applicative functor, as it doesn't have a pure.
Consequently, it's also not a monad.
On the other hand, we can decompose Map
into two parts: a total map, and Maybe
, i.e.,
type Map k v = TMap k (Maybe v)
The type TMap
of total maps does have Applicative
and Monad
instances, and hence this hypothetically rebuilt Map
would as well.
The idea for TMap
is introduced in the paper Denotational design with type class morphisms.
The meaning Map k v
is given by its semantic function
(!) :: Map k v -> (k -> v)
The type class morphism (TCM) principle then exactly dictates the meanings of several class instances for TMap
, including Functor
, Applicative
, Monad
, and Monoid
.
For instance, (!)
must be a monoid (homo)morphism, i.e.,
(!) mempty == mempty
(!) (s `mappend` t) == (!) s `mappend` (!) t
The current implementation of TMap
is via Data.Map
.