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ea09ec3068
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>
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| .. | ||
| 230 | ||
| 258 | ||
| 265 | ||
| BindGroupConflict | ||
| ImportCycle | ||
| Internal | ||
| issue1337 | ||
| issue1344 | ||
| issue1700 | ||
| StdlibConflict | ||
| Termination | ||
| AmbiguousConstructor.juvix | ||
| AmbiguousExport.juvix | ||
| AmbiguousModule.juvix | ||
| AmbiguousSymbol.juvix | ||
| AppLeftImplicit.juvix | ||
| AsPatternAlias.juvix | ||
| ConstructorExpectedLeftApplication.juvix | ||
| DuplicateClause.juvix | ||
| DuplicateFixity.juvix | ||
| DuplicateInductiveParameterName.juvix | ||
| ImplicitPatternLeftApplication.juvix | ||
| InfixError.juvix | ||
| InfixErrorP.juvix | ||
| juvix.yaml | ||
| LacksFunctionClause.juvix | ||
| LacksTypeSig2.juvix | ||
| LacksTypeSig.juvix | ||
| LetMissingClause.juvix | ||
| ModuleNotInScope.juvix | ||
| MultipleDeclarations.juvix | ||
| MultipleExportConflict.juvix | ||
| NestedAsPatterns.juvix | ||
| NestedPatternBraces.juvix | ||
| NotInScope.juvix | ||
| QualSymNotInScope.juvix | ||
| Tab.juvix | ||
| UnusedOperatorDef.juvix | ||
| WrongModuleName.juvix | ||