Implement github workflow for natively building in linux and windows.

.github/resources/Makefile.windows

@@ -0,0 +1,17 @@
+CC = g++
+CFLAGS = -std=c++11 -O3 -I. -I/include -Duint="unsigned int"
+LDFLAGS =  -L/lib -lgmp -lmman
+
+DEPS_HPP = circom.hpp calcwit.hpp fr.hpp pol.cpp
+DEPS_O = main.o calcwit.o fr.o pol.o
+
+all: pol.exe
+
+%.o: %.cpp $(DEPS_HPP)
+	$(CC) -Wno-address-of-packed-member -c $< $(CFLAGS) -o $@
+
+pol.exe: $(DEPS_O)
+	$(CC) -o pol.exe $(DEPS_O) $(LDFLAGS)
+
+clean:
+	rm -f *.o pol.exe

.github/workflows/compile-circuit.yml

@@ -0,0 +1,138 @@
+name: Build
+
+on:
+  push:
+    branches: [main]
+  pull_request: # For testing purposes
+
+jobs:
+  build-linux:
+    name: Build Linux Binary
+    runs-on: ubuntu-latest
+    steps:
+      - name: Install Rust Toolchain
+        uses: actions-rust-lang/setup-rust-toolchain@v1
+        with:
+          toolchain: stable
+          cache: false
+
+      - name: Install Circom
+        run: |
+          git clone https://github.com/iden3/circom.git
+          cd circom
+          RUSTFLAGS="-A dead_code" cargo build --release
+          RUSTFLAGS="-A dead_code" cargo install --path circom
+          circom --version
+
+      - name: Checkout
+        uses: actions/checkout@v4
+        with:
+          path: repo
+
+      - name: Initialise Submodules
+        working-directory: repo
+        run: |
+          git submodule update --init --recursive
+
+      - name: Generate C++ Circuit
+        working-directory: repo/circom_circuits/Mantle
+        run: |
+          circom --c --r1cs --no_asm pol.circom
+
+      - name: Install Circuit Dependencies
+        run: |
+          sudo apt update
+          sudo apt install nlohmann-json3-dev
+
+      - name: Compile Circuit
+        working-directory: repo/circom_circuits/Mantle/pol_cpp
+        run: |
+          make pol
+
+      - name: Upload Binary
+        uses: actions/upload-artifact@v4
+       working-directory: repo/circom_circuits/Mantle/pol_cpp
+        with:
+          name: pol
+          path: pol
+
+  build-windows-native:
+    name: Build Windows Binary (Native)
+    runs-on: windows-latest
+    steps:
+      - name: Install Rust Toolchain
+        uses: actions-rust-lang/setup-rust-toolchain@v1
+        with:
+          toolchain: stable
+          cache: false
+
+      - name: Install Circom
+        run: |
+          git clone https://github.com/iden3/circom.git
+          cd circom
+          $env:RUSTFLAGS="-A dead_code"; cargo build --release
+          $env:RUSTFLAGS="-A dead_code"; cargo install --path circom
+          circom --version
+
+      - name: Checkout
+        uses: actions/checkout@v4
+        with:
+          path: repo
+
+      - name: Initialise Submodules
+        working-directory: repo
+        run: |
+          git submodule update --init --recursive
+
+      - name: Generate C++ Circuit
+        working-directory: repo/circom_circuits/Mantle
+        run: |
+          circom --c --r1cs --no_asm pol.circom
+
+      - name: Setup MSYS2
+        uses: msys2/setup-msys2@v2
+        with:
+          update: true
+          install: >-
+            base-devel
+            mingw-w64-x86_64-toolchain
+            make
+            git
+
+      - name: Dependencies - Setup
+        shell: msys2 {0}
+        run: mkdir /include
+
+      - name: Dependencies - Install [mman-win32]
+        shell: msys2 {0}
+        run: |
+          git clone https://github.com/alitrack/mman-win32.git
+          cd mman-win32
+          pwd
+          ./configure --prefix= # Path: /
+          make
+          make install
+
+      - name: Dependencies - Install [nlohmann/json]
+        shell: msys2 {0}
+        run: |
+          mkdir -p /include/nlohmann/
+          wget -O /include/nlohmann/json.hpp https://github.com/nlohmann/json/releases/download/v3.12.0/json.hpp
+
+      - name: Replace pol Makefile # TODO: Make a fork generate the appropriate Windows Makefile
+        working-directory: repo
+        shell: msys2 {0}
+        run: cp .github/resources/Makefile.windows circom_circuits/Mantle/pol_cpp/Makefile
+
+      - name: Compile Circuit
+        shell: msys2 {0}
+        working-directory: repo/circom_circuits/Mantle/pol_cpp
+        run: |
+          make pol.exe
+
+      - name: Upload Binary
+        uses: actions/upload-artifact@v4
+        working-directory: repo/circom_circuits/Mantle/pol_cpp
+        with:
+          name: pol.exe
+          path: pol.exe