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ADR: Total conversion functions conventions
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# Status
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- [ ] Proposed 2024-05-21
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# Context
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In `cardano-api` we have multiple functions performing conversions between one value of the type to the other, for example:
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```haskell
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fromShelleyDeltaLovelace :: L.DeltaCoin -> Lovelace -- 'from' at the beginning
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lovelaceToQuantity :: Lovelace -> Quantity -- 'to' in the middle
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toAlonzoScriptLanguage :: AnyPlutusScriptVersion -> Plutus.Language -- 'to' at the beginning
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convReferenceInputs :: TxInsReference build era -> Set Ledger.TxIn -- 'conv' at the beginning
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```
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There are multiple naming conventions for the conversion functions which makes them hard to locate.
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Some conversion functions with lengthy names, are not very convenient to use.
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# Decision
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## Type classes
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For total functions, which are simply converting a value from one type to another, we can use type classes [`Inject` (from `cardano-ledger`)](https://cardano-ledger.cardano.intersectmbo.org/cardano-ledger-core/Cardano-Ledger-BaseTypes.html#t:Inject) & [`Convert`](https://cardano-api.cardano.intersectmbo.org/cardano-api/Cardano-Api-Internal-Eras.html#t:Convert):
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```haskell
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class Inject t s where
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inject :: t -> s
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class Convert (f :: a -> Type) (g :: a -> Type) where
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convert :: forall a. f a -> g a
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```
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The use of those conversion functions should be limited to **internal use only**.
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The library should still export conversion functions with explicit type names for better readability.
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An exception to this would be a set of types which are convertible one to the other, like `Eon`s.
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Writing $N \times N$ conversion functions for $N$ types would be cumbersome and using `inject`/`convert` instead is justified here.
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Inject instances should be placed near one of the types definition, to make them more discoverable and avoid orphaned instances.
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>[!NOTE]
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>The difference between `Inject` and `Convert` class is that `Convert` is better typed for types with `Type -> Type` kind.
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>In other words, when writing `instance Inject (Foo a) (Bar a)` the GHC's typechecker needs some help to understand the code using `inject`:
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>```haskell
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>let x = inject @_ @(Bar Bool) $ Foo True
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>```
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>That is not needed for `convert`.
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### Injection law
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The `Inject` and `Convert` classes are meant to be used for trivial conversions only and not for more complex types like polymorphic collections (e.g. `Set a`).
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The `inject` and `convert` implementations should both be injective:
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```math
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\forall_{x,x' \in X} \ \ inject(x) = inject(x') \implies x = x'
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```
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This effectively means that any hashing functions or field accessors for constructors losing information (e.g. `foo (Foo _ a) = a`) should not be implemented as `Inject`/`Convert` instances.
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## Explicit conversion functions
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For explicit conversion functions, the following naming convention should follow:
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```haskell
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fooToBar :: Foo -> Bar
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```
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### Qualified imports
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If the module exporting conversion functions is meant to be imported qualified, and provides functions for operating on a single data type, a shorter name with `from` prefix is allowed:
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```haskell
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module Data.Foo where
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fromBar :: Bar -> Foo
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```
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where the usage would look like:
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```haskell
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import Data.Foo qualified as Foo
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Foo.fromBar bar
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```
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# Consequences
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## Advantages
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- An uniform API for total conversions
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- A list of `Inject` instances lists all available conversions for the type
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- Less maintenance burden with regards to the naming conventions of the conversion functions
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## Disadvantages
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- It may be a bit surprising how to discover available conversions, because one would have to browse the type's `Inject` instances to find the conversion functions they are looking for - instead of looking for exported functions.
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[modeline]: # ( vim: set spell spelllang=en: )

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