feat(interpreter): Comptime derive generators (#6303)

# Description

## Problem\*

Request made by the aztec team for their macros work.

## Summary\*

This PR adds handling for the `derive_pedersen_generators` compiler
builtin.

## Additional Context



## Documentation\*

Check one:
- [X] No documentation needed.
- [ ] Documentation included in this PR.
- [ ] **[For Experimental Features]** Documentation to be submitted in a
separate PR.

# PR Checklist\*

- [X] I have tested the changes locally.
- [X] I have formatted the changes with [Prettier](https://prettier.io/)
and/or `cargo fmt` on default settings.

---------

Co-authored-by: jfecher <jake@aztecprotocol.com>

compiler/noirc_frontend/src/hir/comptime/errors.rs

@@ -226,6 +226,10 @@ pub enum InterpreterError {
         location: Location,
         expression: String,
     },
+    UnknownArrayLength {
+        length: Type,
+        location: Location,
+    },
 
     // These cases are not errors, they are just used to prevent us from running more code
     // until the loop can be resumed properly. These cases will never be displayed to users.
@@ -299,7 +303,8 @@ impl InterpreterError {
             | InterpreterError::DuplicateGeneric { duplicate_location: location, .. }
             | InterpreterError::TypeAnnotationsNeededForMethodCall { location }
             | InterpreterError::CannotResolveExpression { location, .. }
-            | InterpreterError::CannotSetFunctionBody { location, .. } => *location,
+            | InterpreterError::CannotSetFunctionBody { location, .. }
+            | InterpreterError::UnknownArrayLength { location, .. } => *location,
 
             InterpreterError::FailedToParseMacro { error, file, .. } => {
                 Location::new(error.span(), *file)
@@ -635,6 +640,10 @@ impl<'a> From<&'a InterpreterError> for CustomDiagnostic {
                 let msg = format!("`{expression}` is not a valid function body");
                 CustomDiagnostic::simple_error(msg, String::new(), location.span)
             }
+            InterpreterError::UnknownArrayLength { length, location } => {
+                let msg = format!("Could not determine array length `{length}`");
+                CustomDiagnostic::simple_error(msg, String::new(), location.span)
+            }
         }
     }
 }

compiler/noirc_frontend/src/hir/comptime/interpreter/builtin.rs

@@ -63,6 +63,9 @@ impl<'local, 'context> Interpreter<'local, 'context> {
             "as_slice" => as_slice(interner, arguments, location),
             "ctstring_eq" => ctstring_eq(arguments, location),
             "ctstring_hash" => ctstring_hash(arguments, location),
+            "derive_pedersen_generators" => {
+                derive_generators(interner, arguments, return_type, location)
+            }
             "expr_as_array" => expr_as_array(interner, arguments, return_type, location),
             "expr_as_assert" => expr_as_assert(interner, arguments, return_type, location),
             "expr_as_assert_eq" => expr_as_assert_eq(interner, arguments, return_type, location),
@@ -2770,3 +2773,56 @@ fn ctstring_eq(arguments: Vec<(Value, Location)>, location: Location) -> IResult
 fn ctstring_hash(arguments: Vec<(Value, Location)>, location: Location) -> IResult<Value> {
     hash_item(arguments, location, get_ctstring)
 }
+
+fn derive_generators(
+    interner: &mut NodeInterner,
+    arguments: Vec<(Value, Location)>,
+    return_type: Type,
+    location: Location,
+) -> IResult<Value> {
+    let (domain_separator_string, starting_index) = check_two_arguments(arguments, location)?;
+
+    let domain_separator_location = domain_separator_string.1;
+    let (domain_separator_string, _) = get_array(interner, domain_separator_string)?;
+    let starting_index = get_u32(starting_index)?;
+
+    let domain_separator_string =
+        try_vecmap(domain_separator_string, |byte| get_u8((byte, domain_separator_location)))?;
+
+    let (size, elements) = match return_type.clone() {
+        Type::Array(size, elements) => (size, elements),
+        _ => panic!("ICE: Should only have an array return type"),
+    };
+
+    let Some(num_generators) = size.evaluate_to_u32() else {
+        return Err(InterpreterError::UnknownArrayLength { length: *size, location });
+    };
+
+    let generators = bn254_blackbox_solver::derive_generators(
+        &domain_separator_string,
+        num_generators,
+        starting_index,
+    );
+
+    let is_infinite = FieldElement::zero();
+    let x_field_name: Rc<String> = Rc::new("x".to_owned());
+    let y_field_name: Rc<String> = Rc::new("y".to_owned());
+    let is_infinite_field_name: Rc<String> = Rc::new("is_infinite".to_owned());
+    let mut results = Vector::new();
+    for gen in generators {
+        let x_big: BigUint = gen.x.into();
+        let x = FieldElement::from_be_bytes_reduce(&x_big.to_bytes_be());
+        let y_big: BigUint = gen.y.into();
+        let y = FieldElement::from_be_bytes_reduce(&y_big.to_bytes_be());
+        let mut embedded_curve_point_fields = HashMap::default();
+        embedded_curve_point_fields.insert(x_field_name.clone(), Value::Field(x));
+        embedded_curve_point_fields.insert(y_field_name.clone(), Value::Field(y));
+        embedded_curve_point_fields
+            .insert(is_infinite_field_name.clone(), Value::Field(is_infinite));
+        let embedded_curve_point_struct =
+            Value::Struct(embedded_curve_point_fields, *elements.clone());
+        results.push_back(embedded_curve_point_struct);
+    }
+
+    Ok(Value::Array(results, return_type))
+}

test_programs/compile_success_empty/comptime_derive_generators/Nargo.toml

@@ -0,0 +1,7 @@
+[package]
+name = "comptime_derive_generators"
+type = "bin"
+authors = [""]
+compiler_version = ">=0.35.0"
+
+[dependencies]

test_programs/compile_success_empty/comptime_derive_generators/src/main.nr

@@ -0,0 +1,58 @@
+use std::embedded_curve_ops::EmbeddedCurvePoint;
+
+fn main() {
+    comptime
+    {
+        // Result computed from executing `derive_generators` with non-comptime Noir 
+        let result = [
+            EmbeddedCurvePoint {
+                x: 0x0224a8abc6c8b8d50373d64cd2a1ab1567bf372b3b1f7b861d7f01257052d383,
+                y: 0x2358629b90eafb299d6650a311e79914b0215eb0a790810b26da5a826726d711,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x0f106f6d46bc904a5290542490b2f238775ff3c445b2f8f704c466655f460a2a,
+                y: 0x29ab84d472f1d33f42fe09c47b8f7710f01920d6155250126731e486877bcf27,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x0298f2e42249f0519c8a8abd91567ebe016e480f219b8c19461d6a595cc33696,
+                y: 0x035bec4b8520a4ece27bd5aafabee3dfe1390d7439c419a8c55aceb207aac83b,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x2c9628479de4181ea77e7b0913ccf41d2a74155b1d9c82eaa220c218781f6f3b,
+                y: 0x278f86b8fd95520b5da23bee1a5e354dc5dcb0cb43d6b76e628ddbffb101d776,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x0be1916f382e3532aa53a766fe74b1a983784caab90290aea7bf616bc371fb41,
+                y: 0x0f65545005e896f14249956344faf9addd762b7573a487b58f805a361d920a20,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x29ff8437ae5bec89981441b23036a22b7fd5bee9eff0e83c0dd5b87bfb5bd60e,
+                y: 0x1fd247352b77e2676b22db23cf7cd482474f543e3480b5a39c42f839a306be10,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x2f3bd4e98f8c8458cd58888749f0f5e582a43565767398e08e50e94b9b19a4d9,
+                y: 0x1f534906d1aa8b4ba74ad9e3f85ae3f8295e51eaafd15b5d116801b96360205b,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x27759098f425b76447c2c52728576803a1ac5de37bba875ac47cdcff539ab931,
+                y: 0x0aa47ee64d12d856cfb81b595c1d60ceecb693f0fdae644746ff333e39f61db7,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x015ca8d68616fde86c9108e3db04f588e0f308e60d367e963b7d460fe9a65e6c,
+                y: 0x2cf918009dda942ac9d59903cd2d0294d8738f938b1394170d892a027d0f347b,
+                is_infinite: false
+            }, EmbeddedCurvePoint {
+                x: 0x0d1783d5b256765515f3c9988df9f1ba7e6f5fb0248c8971fbc503ffd5187714,
+                y: 0x2ebb434ff4857fc3621f3bc3c6b8002b17d02d9c204e75f19b8f0b99ea68402c,
+                is_infinite: false
+            }
+        ];
+
+        let generators: [EmbeddedCurvePoint; 10] = std::hash::derive_generators("DEFAULT_DOMAIN_SEPARATOR".as_bytes(), 5);
+
+        for i in 0..10 {
+            assert(generators[i].x == result[i].x);
+            assert(generators[i].y == result[i].y);
+        }
+    }
+}