multi-instance alternatives and similar packages
Based on the "Algebra" category.
Alternatively, view multi-instance alternatives based on common mentions on social networks and blogs.
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cl3
Haskell Library implementing standard functions for the Algebra of Physical Space Cl(3,0) -
semilattices
join and meet semilattices, lower and upper bounds. -
partial-semigroup
A partial binary associative operator (appendMaybe :: a → a → Maybe a) -
sparse-tensor
typesafe implementation of tensor algebra in Haskell -
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interval-algebra
A Haskell implementation of Allen's interval algebra -
linear-tests
tests for Matrix.Linear Haskell library. Includes Arbitrary instances and property tests -
groups-generic
Derive Group instances using generics (Haskell library) -
cl3-linear-interface
An interface to/from the Cl3 and Linear libraries -
cl3-hmatrix-interface
An interface to/from the Cl3 and HMatrix libraries
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README
multi-instance
Alternative versions of common typeclasses, augmented with a phantom type
parameter x. The purpose of this is to deal with the case where a type has
more than one candidate instance for the original, unaugmented class.
Example: Integer sum and product
The canonical example of this predicament is selecting the monoid instance for a
type which forms a ring (and thus has at least two strong candidates for
selection as the monoid), such as Integer. This therefore gives rise to the
Sum and Product newtype wrappers, corresponding to the additive and
multiplicative monoids respectively.
The traditional fold-based summation of a list of integers looks like this:
>>> import Data.Foldable (fold)
>>> import Data.Monoid (Sum (..))
>>> getSum (fold [Sum 2, Sum 3, Sum 5]) :: Integer
10
By replacing fold with multi'fold, whose constraint is MultiMonoid rather
than Data.Monoid.Monoid, we can write the same thing without the newtype
wrapper:
>>> :set -XFlexibleContexts -XTypeApplications
>>> multi'fold @Addition [2, 3, 5] :: Integer
10