Before this change, nested as-patterns (i.e as-patterns binding
arguments to constructors) were not translated to Core pattern binders.
This meant that the following function would crash the compiler:
```
f : List Nat -> List Nat;
f (x :: a@(x' :: xs)) := a;
f _ := nil;
```
i.e the nested as-pattern `a` was ignored in the internal to core
translation.
This commit translates each as-pattern to a Core `PatternBinder`.
* Fixes https://github.com/anoma/juvix/issues/1788
* Fixes https://github.com/anoma/juvix/issues/1738
The integer to Nat translation in the Internal to Core translation
depends on both Nat and Bool builtin types being in the InfoTable.
544bddba43/src/Juvix/Compiler/Core/Translation/FromInternal.hs (L67)
If the root module does not contain an explicit reference to the builtin
Bool (for example) then builtin Bool type is filtered out by the
reachability analysis and therefore is not available at transltaion
time.
In this commit we add both builtin Nat and builtin Bool as start nodes
in the reachability analysis to guarantee that they will not be filtered
out.
- Fixes https://github.com/anoma/juvix/issues/1774
The internal to core translation was removing implicit arguments from
function definitions and applications. This is incorrect as the implicit
bindings are required when translating the following (in `csuc`, the
binding of the implicit argument is required in an application on the
rhs):
```
Num : Type;
Num := {A : Type} → (A → A) → A → A;
csuc : Num → Num;
csuc n {_} f := f ∘ n {_} f;
```
Apart from removing this filter from function and application
translation, this required the following changes:
ConstructorInfo:
The _constructorArgsNum field must include the number of type parameters
of its inductive type.
PatternConstructorApp:
The pattern arguments must include wildcards for the implicit type
parameters passed to the constructor.
BuiltinIf:
The BuiltinIf expression is passed an implicit type argument that must
be removed when translating to Core if.
LitString:
A literal string is a function with an implcit type argument. So this
must be a translated to a lambda where the type argument is ignored.
Fixes https://github.com/anoma/juvix/issues/1714
A lambda:
```
\ { v0 := b0 ; v1 := b1 ; ... ; vn := bn }
```
should be translated to:
```
λ? (λ? ... (λ? (match ?$0, ?$1, ... , ?$n with ...)))
```
i.e the de Brujin index of the values in the match always start from 0.
Fixes: https://github.com/anoma/juvix/issues/1695
This PR implements `printString` and `printBool` builtins for the legacy
C backend. Previously IO for strings was done using compile blocks with
included C code.
Fixes https://github.com/anoma/juvix/issues/1696
* Support inductive type and universe expressions
* Support function type expressions
* Add type information to Core function and constructor nodes
* Remove unused do
