Feat/m31 (#547)

This PR adds support of the m31 Field

---------

Co-authored-by: Jeremy Felder <jeremy.felder1@gmail.com>

.github/workflows/cpp_cuda.yml

@@ -73,6 +73,8 @@ jobs:
             build_args: -DEXT_FIELD=ON
           - name: stark252
             build_args: -DEXT_FIELD=OFF
+          - name: m31
+            build_args: -DEXT_FIELD=ON
     steps:
     - name: Checkout Repo
       uses: actions/checkout@v4

.github/workflows/rust.yml

@@ -62,8 +62,8 @@ jobs:
       # We need to limit the number of threads to avoid running out of memory on weaker machines
       # ignored tests are polynomial tests. Since they conflict with NTT tests, they are executed separately
       run: |
-        cargo test --workspace --exclude icicle-babybear --exclude icicle-stark252 --release --verbose --features=g2 -- --test-threads=2 --ignored
-        cargo test --workspace --exclude icicle-babybear --exclude icicle-stark252 --release --verbose --features=g2 -- --test-threads=2
+        cargo test --workspace --exclude icicle-babybear --exclude icicle-stark252 --exclude icicle-m31 --release --verbose --features=g2 -- --test-threads=2 --ignored
+        cargo test --workspace --exclude icicle-babybear --exclude icicle-stark252 --exclude icicle-m31 --release --verbose --features=g2 -- --test-threads=2
 
     - name: Run baby bear tests
       working-directory: ./wrappers/rust/icicle-fields/icicle-babybear
@@ -79,6 +79,13 @@ jobs:
         cargo test --release --verbose -- --ignored
         cargo test --release --verbose
 
+    - name: Run m31 tests
+      working-directory: ./wrappers/rust/icicle-fields/icicle-m31
+      if: needs.check-changed-files.outputs.rust == 'true' || needs.check-changed-files.outputs.cpp_cuda == 'true'
+      run: |
+        cargo test --release --verbose -- --ignored
+        cargo test --release --verbose
+
   # build-windows:
   #   name: Build on Windows
   #   runs-on: windows-2022