This PR resolves a few bugs in the Makefile targets for formatting and
type checking Juvix files, which were preventing the capture of type
checking errors for our examples and bad formatting for all the Juvix
files in the repository. With this PR, our code should now be clean, and
we can expect every file to be properly formatted and type checked.
Changes made:
- [x] Updated `make format-juvix-files`
- [x] Updated `make check-format-juvix-files`
- [x] Formatted all Juvix files
- [x] Comment a fragment in `examples/milestone/Bank/Bank.juvix`
In the future, we will drastically simplify the Makefile once we improve
the `format` and the `type check` command for example posted here:
- #2066
- #2087
Related:
- #2063
- #2040 (due to some typechecking errors we're not capturing before)
- #2105
- https://github.com/anoma/juvix/issues/2059
This PR adds a builtin integer type to the surface language that is
compiled to the backend integer type.
## Inductive definition
The `Int` type is defined in the standard library as:
```
builtin int
type Int :=
| --- ofNat n represents the integer n
ofNat : Nat -> Int
| --- negSuc n represents the integer -(n + 1)
negSuc : Nat -> Int;
```
## New builtin functions defined in the standard library
```
intToString : Int -> String;
+ : Int -> Int -> Int;
neg : Int -> Int;
* : Int -> Int -> Int;
- : Int -> Int -> Int;
div : Int -> Int -> Int;
mod : Int -> Int -> Int;
== : Int -> Int -> Bool;
<= : Int -> Int -> Bool;
< : Int -> Int -> Bool;
```
Additional builtins required in the definition of the other builtins:
```
negNat : Nat -> Int;
intSubNat : Nat -> Nat -> Int;
nonNeg : Int -> Bool;
```
## REPL types of literals
In the REPL, non-negative integer literals have the inferred type `Nat`,
negative integer literals have the inferred type `Int`.
```
Stdlib.Prelude> :t 1
Nat
Stdlib.Prelude> :t -1
Int
:t let x : Int := 1 in x
Int
```
## The standard library Prelude
The definitions of `*`, `+`, `div` and `mod` are not exported from the
standard library prelude as these would conflict with the definitions
from `Stdlib.Data.Nat`.
Stdlib.Prelude
```
open import Stdlib.Data.Int hiding {+;*;div;mod} public;
```
* Closes https://github.com/anoma/juvix/issues/1679
* Closes https://github.com/anoma/juvix/issues/1984
---------
Co-authored-by: Lukasz Czajka <lukasz@heliax.dev>
* remove ≔ from the language and replace it by :=
* revert accidental changes in juvix input mode
* update stdlib submodule
* rename ℕ by Nat in the tests and examples
* fix shell tests
