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48 lines
2.0 KiB
ReStructuredText
48 lines
2.0 KiB
ReStructuredText
Overloaded literals
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===================
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.. role:: idris(code)
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:language: idris
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The compiler provides directives for literals overloading, respectively
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``%stringLit <fun>`` and ``%integerLit <fun>`` for string and integer literals. During
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elaboration, the given function is applied to the corresponding literal.
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In the Prelude these functions are set to ``fromString`` and ``fromInteger``.
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The interface ``FromString ty`` provides the ``fromString : String -> ty`` function,
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while the ``Num ty`` interface provides the ``fromInteger : Integer -> ty`` function
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for all numerical types.
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Restricted overloads
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--------------------
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Although the overloading of literals can be achieved by implementing the interfaces
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described above, in principle only a function with the correct signature and name
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is enough to achieve the desired behaviour. This can be exploited to obtain more
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restrictive overloading such as converting literals to ``Fin n`` values, where
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integer literals greater or equal to n are not constructible values for the type.
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Additional implicit arguments can be added to the function signature, in particular
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auto implicit arguments for searching proofs. As an example, this is the implementation
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of ``fromInteger`` for ``Fin n``.
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.. code-block:: idris
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public export
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fromInteger : (x : Integer) -> {n : Nat} ->
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{auto prf : (IsJust (integerToFin x n))} ->
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Fin n
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fromInteger {n} x {prf} with (integerToFin x n)
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fromInteger {n} x {prf = ItIsJust} | Just y = y
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The ``prf`` auto implicit is an automatically constructed proof (if possible) that
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the literal is suitable for the ``Fin n`` type. The restricted behaviour can be
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observed in the REPL, where the failure to construct a valid proof is caught during
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the type-checking phase and not at runtime:
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.. code-block::
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Main> the (Fin 3) 2
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FS (FS FZ)
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Main> the (Fin 3) 5
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(interactive):1:13--1:14:Can't find an implementation for IsJust (integerToFin 5 3) at:
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1 the (Fin 3) 5
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