Update ROCm docker image to add sgl-router support (#10406)

Co-authored-by: Colin Wang <kangwang@amd.com>

docker/Dockerfile.rocm

@@ -194,6 +194,18 @@ RUN find /sgl-workspace/sglang/python/sglang/srt/layers/quantization/configs/ \
          /sgl-workspace/sglang/python/sglang/srt/layers/moe/fused_moe_triton/configs/ \
          -type f -name '*MI300X*' | xargs -I {} sh -c 'vf_config=$(echo "$1" | sed "s/MI300X/MI300X_VF/"); cp "$1" "$vf_config"' -- {}
 
+# Install Rust toolchain for sgl-router
+ENV PATH="/root/.cargo/bin:${PATH}"
+RUN curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh -s -- -y \
+    && rustc --version && cargo --version
+
+# Build and install sgl-router
+RUN python3 -m pip install --no-cache-dir setuptools-rust \
+    && cd /sgl-workspace/sglang/sgl-router \
+    && cargo build --release \
+    && python3 -m pip install --no-cache-dir . \
+    && rm -rf /root/.cache
+
 # Performance environment variable.
 ENV HIP_FORCE_DEV_KERNARG=1
 ENV HSA_NO_SCRATCH_RECLAIM=1