Note that this is incomplete in the case of desugared/scopelang because we only
have typing for expressions yet, and the scope/program structure is different.
The code allows passing an environment of types for scope/subscope variables in
order to resolve `ELocation` terms, but that's unused until we implement
scopelang typing at the scope level.
This moves dcalc/typing.ml to shared_ast, and generalises the input type, but
without yet implementing the extra cases (these are all `assert false`): it's
just a first step.
Also add some safeguards against bad propagation of types (e.g. checking the
arrow type of functions upon application); partly disabled at the moment since
they don't pass yet but that'll be further work.
This gives further uniformity in their interfaces and allows more common
handling.
The next step will be for all the `Expr.make_*` functions to work on expressions
annotated with the `'a mark` type, correctly propagating type information when
it is present. Then we could even imagine early propagation of type
information (without complete inference), which could for example be used for
overloaded operator disambiguation.
This will allow to unify with types used earlier in the
pipeline (`Scopelang.Ast.typ`).
It seems cleaner! But some areas may warrant a later clean-up, in particular
handling of options and their types in the backends, or possible name conflicts
of structs/enums with built-in types when printing.
Note that there were significant differences between the two printers (see the test diff!). Overall the `dcalc` one seemed newer so that's what I took, with only the required additions from `lcalc` (exceptions, raise and catch)
Handling code should now be reasonably well sorted between `Shared_ast.{Var,Expr,Scope,Program}`
The function parameters (e.g. `make_let_in`) could be removed from the
scope handling functions since now the types are compatible, which
makes them much easier to read.
