Add clang-tidy, codespell, and sanitizer checks to CI pipeline

libeigen/eigen!2178

Co-authored-by: Rasmus Munk Larsen <rmlarsen@gmail.com>

ci/checkformat.gitlab-ci.yml

@@ -1,6 +1,6 @@
 checkformat:clangformat:
   stage: checkformat
-  image: alpine:3.19
+  image: alpine:3.20
   only:
     - merge_requests
   allow_failure: true
@@ -8,3 +8,39 @@ checkformat:clangformat:
     - apk add --no-cache git clang17-extra-tools python3
   script:
     - git clang-format --diff --commit ${CI_MERGE_REQUEST_DIFF_BASE_SHA}
+
+checkformat:codespell:
+  stage: checkformat
+  image: alpine:3.20
+  only:
+    - merge_requests
+  allow_failure: true
+  before_script:
+    - apk add --no-cache py3-codespell
+  script:
+    - codespell --config setup.cfg
+
+checkformat:clangtidy:
+  stage: checkformat
+  image: ubuntu:24.04
+  only:
+    - merge_requests
+  allow_failure: true
+  timeout: 15m
+  tags:
+    - saas-linux-medium-amd64
+  variables:
+    DEBIAN_FRONTEND: noninteractive
+  before_script:
+    - apt-get update -y > /dev/null
+    - apt-get install -y --no-install-recommends
+        git cmake ninja-build clang-tidy clang python3 > /dev/null
+  script:
+    - mkdir -p .tidy-build
+    - cmake -G Ninja -B .tidy-build
+        -DCMAKE_CXX_COMPILER=clang++
+        -DCMAKE_C_COMPILER=clang
+        -DCMAKE_EXPORT_COMPILE_COMMANDS=ON
+        -DEIGEN_BUILD_TESTING=ON
+    - chmod +x ci/scripts/run-clang-tidy.sh
+    - ci/scripts/run-clang-tidy.sh ${CI_MERGE_REQUEST_DIFF_BASE_SHA} .tidy-build