Incorrect % (modulo) operator behavior for negative divisors

[Aristotelis2002]

Aim

Attempted to create a simple program which does the modulo operation between a positive and a negative number.

The following main.nr:

fn main(x: i16, y: i16) {
    println(x % -13);
    println(x % y);
}

with Prover.toml:

x = "169"
y = "-13"

Outputs

169
169

This output is unexpected. It should be

0
0

Another example is the following main.nr:

fn main(x: i16, y: i16) {
    println(x % -107);
    println(x % y);
}

with Prover.toml:

x = "769"
y = "-107"

Outputs

769
769

In Rust the same program would have the output 20. In some other programming languages the output would be -20

Expected Behavior

Consisted behavior of the modulo operator. Currently the modulo operation between negative constants fails to compile but it has undefined behavior for negative integer parameters.

Bug

The modulo operator produces an incorrect value when working with negative values passed as parameters.

To Reproduce

1. Create a Noir project with the provided code
2. nargo check
3. Insert the provided values into the Prover.toml
4. nargo execute

Workaround

None

Workaround Description

No response

Additional Context

No response

Project Impact

None

Blocker Context

No response

Nargo Version

nargo version = 0.39.0 noirc version = 0.39.0+45eb7568d56b2d254453b85f236d554232aa5df9 (git version hash: 45eb756, is dirty: false)

NoirJS Version

No response

Proving Backend Tooling & Version

No response

Would you like to submit a PR for this Issue?

None

Support Needs

No response

[Subway2023]

Is this really a bug? I get the same result in the circom compiler as well.
test.sh

circom circuit.circom --r1cs --wasm --sym

snarkjs wtns calculate ./circuit_js/circuit.wasm input.json witness.wtns
snarkjs wtns export json witness.wtns witness.json

snarkjs wtns check circuit.r1cs witness.wtns

template Multiplier() {
    signal input x;
    signal input y;

    log("x%-13: ",x%-13);
    log("x % y: ",x % y);
}

component main = Multiplier();

x%-13:  169
x % y:  169