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ci.yml
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name: CI
on:
pull_request:
push:
branches:
- '**'
tags-ignore:
- '**'
concurrency:
group: ${{ github.event_name != 'pull_request' && github.run_id || github.ref }}
cancel-in-progress: true
env:
### compiler options
HOST:
WRAPPER_CMD:
# Specific warnings can be disabled with -Wno-error=foo.
# -pedantic-errors is not equivalent to -Werror=pedantic and thus not implied by -Werror according to the GCC manual.
WERROR_CFLAGS: '-Werror -pedantic-errors'
MAKEFLAGS: '-j4'
BUILD: 'check'
### secp256k1 config
ECMULTWINDOW: 'auto'
ECMULTGENPRECISION: 'auto'
ASM: 'no'
WIDEMUL: 'auto'
WITH_VALGRIND: 'yes'
EXTRAFLAGS:
### secp256k1 modules
EXPERIMENTAL: 'no'
ECDH: 'no'
RECOVERY: 'no'
SCHNORRSIG: 'no'
ELLSWIFT: 'no'
### test options
SECP256K1_TEST_ITERS:
BENCH: 'yes'
SECP256K1_BENCH_ITERS: 2
CTIMETESTS: 'yes'
# Compile and run the examples.
EXAMPLES: 'yes'
jobs:
docker_cache:
name: "Build Docker image"
runs-on: ubuntu-latest
steps:
- name: Set up Docker Buildx
uses: docker/setup-buildx-action@v2
with:
# See: https://github.com/moby/buildkit/issues/3969.
driver-opts: |
network=host
- name: Build container
uses: docker/build-push-action@v4
with:
file: ./ci/linux-debian.Dockerfile
tags: linux-debian-image
cache-from: type=gha
cache-to: type=gha,mode=min
linux_debian:
name: "x86_64: Linux (Debian stable)"
runs-on: ubuntu-latest
needs: docker_cache
strategy:
fail-fast: false
matrix:
configuration:
- env_vars: { WIDEMUL: 'int64', RECOVERY: 'yes' }
- env_vars: { WIDEMUL: 'int64', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes' }
- env_vars: { WIDEMUL: 'int128' }
- env_vars: { WIDEMUL: 'int128_struct', ELLSWIFT: 'yes' }
- env_vars: { WIDEMUL: 'int128', RECOVERY: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes' }
- env_vars: { WIDEMUL: 'int128', ECDH: 'yes', SCHNORRSIG: 'yes' }
- env_vars: { WIDEMUL: 'int128', ASM: 'x86_64', ELLSWIFT: 'yes' }
- env_vars: { RECOVERY: 'yes', SCHNORRSIG: 'yes' }
- env_vars: { CTIMETESTS: 'no', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', CPPFLAGS: '-DVERIFY' }
- env_vars: { BUILD: 'distcheck', WITH_VALGRIND: 'no', CTIMETESTS: 'no', BENCH: 'no' }
- env_vars: { CPPFLAGS: '-DDETERMINISTIC' }
- env_vars: { CFLAGS: '-O0', CTIMETESTS: 'no' }
- env_vars: { CFLAGS: '-O1', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes' }
- env_vars: { ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
- env_vars: { ECMULTGENPRECISION: 8, ECMULTWINDOW: 4 }
cc:
- 'gcc'
- 'clang'
- 'gcc-snapshot'
- 'clang-snapshot'
env:
CC: ${{ matrix.cc }}
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
env: ${{ matrix.configuration.env_vars }}
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
i686_debian:
name: "i686: Linux (Debian stable)"
runs-on: ubuntu-latest
needs: docker_cache
strategy:
fail-fast: false
matrix:
cc:
- 'i686-linux-gnu-gcc'
- 'clang --target=i686-pc-linux-gnu -isystem /usr/i686-linux-gnu/include'
env:
HOST: 'i686-linux-gnu'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CC: ${{ matrix.cc }}
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
s390x_debian:
name: "s390x (big-endian): Linux (Debian stable, QEMU)"
runs-on: ubuntu-latest
needs: docker_cache
env:
WRAPPER_CMD: 'qemu-s390x'
SECP256K1_TEST_ITERS: 16
HOST: 's390x-linux-gnu'
WITH_VALGRIND: 'no'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
arm32_debian:
name: "ARM32: Linux (Debian stable, QEMU)"
runs-on: ubuntu-latest
needs: docker_cache
strategy:
fail-fast: false
matrix:
configuration:
- env_vars: {}
- env_vars: { EXPERIMENTAL: 'yes', ASM: 'arm32' }
env:
WRAPPER_CMD: 'qemu-arm'
SECP256K1_TEST_ITERS: 16
HOST: 'arm-linux-gnueabihf'
WITH_VALGRIND: 'no'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
env: ${{ matrix.configuration.env_vars }}
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
arm64_debian:
name: "ARM64: Linux (Debian stable, QEMU)"
runs-on: ubuntu-latest
needs: docker_cache
env:
WRAPPER_CMD: 'qemu-aarch64'
SECP256K1_TEST_ITERS: 16
HOST: 'aarch64-linux-gnu'
WITH_VALGRIND: 'no'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
ppc64le_debian:
name: "ppc64le: Linux (Debian stable, QEMU)"
runs-on: ubuntu-latest
needs: docker_cache
env:
WRAPPER_CMD: 'qemu-ppc64le'
SECP256K1_TEST_ITERS: 16
HOST: 'powerpc64le-linux-gnu'
WITH_VALGRIND: 'no'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
valgrind_debian:
name: "Valgrind (memcheck)"
runs-on: ubuntu-latest
needs: docker_cache
strategy:
fail-fast: false
matrix:
configuration:
- env_vars: { CC: 'clang', ASM: 'auto' }
- env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'auto' }
- env_vars: { CC: 'clang', ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
- env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
env:
# The `--error-exitcode` is required to make the test fail if valgrind found errors,
# otherwise it will return 0 (https://www.valgrind.org/docs/manual/manual-core.html).
WRAPPER_CMD: 'valgrind --error-exitcode=42'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
SECP256K1_TEST_ITERS: 2
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
env: ${{ matrix.configuration.env_vars }}
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
sanitizers_debian:
name: "UBSan, ASan, LSan"
runs-on: ubuntu-latest
needs: docker_cache
strategy:
fail-fast: false
matrix:
configuration:
- env_vars: { CC: 'clang', ASM: 'auto' }
- env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'auto' }
- env_vars: { CC: 'clang', ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
- env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'no', ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
env:
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
CFLAGS: '-fsanitize=undefined,address -g'
UBSAN_OPTIONS: 'print_stacktrace=1:halt_on_error=1'
ASAN_OPTIONS: 'strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1'
LSAN_OPTIONS: 'use_unaligned=1'
SECP256K1_TEST_ITERS: 32
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
env: ${{ matrix.configuration.env_vars }}
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
msan_debian:
name: "MSan"
runs-on: ubuntu-latest
needs: docker_cache
strategy:
fail-fast: false
matrix:
configuration:
- env_vars:
CFLAGS: '-fsanitize=memory -g'
- env_vars:
ECMULTGENPRECISION: 2
ECMULTWINDOW: 2
CFLAGS: '-fsanitize=memory -g -O3'
env:
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'yes'
CC: 'clang'
SECP256K1_TEST_ITERS: 32
ASM: 'no'
WITH_VALGRIND: 'no'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
env: ${{ matrix.configuration.env_vars }}
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
mingw_debian:
name: ${{ matrix.configuration.job_name }}
runs-on: ubuntu-latest
needs: docker_cache
env:
WRAPPER_CMD: 'wine'
WITH_VALGRIND: 'no'
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
CTIMETESTS: 'no'
strategy:
fail-fast: false
matrix:
configuration:
- job_name: 'x86_64 (mingw32-w64): Windows (Debian stable, Wine)'
env_vars:
HOST: 'x86_64-w64-mingw32'
- job_name: 'i686 (mingw32-w64): Windows (Debian stable, Wine)'
env_vars:
HOST: 'i686-w64-mingw32'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
env: ${{ matrix.configuration.env_vars }}
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
macos-native:
name: "x86_64: macOS Monterey"
# See: https://github.com/actions/runner-images#available-images.
runs-on: macos-12 # Use M1 once available https://github.com/github/roadmap/issues/528
env:
CC: 'clang'
HOMEBREW_NO_AUTO_UPDATE: 1
HOMEBREW_NO_INSTALL_CLEANUP: 1
strategy:
fail-fast: false
matrix:
env_vars:
- { WIDEMUL: 'int64', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes' }
- { WIDEMUL: 'int128_struct', ECMULTGENPRECISION: 2, ECMULTWINDOW: 4 }
- { WIDEMUL: 'int128', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes' }
- { WIDEMUL: 'int128', RECOVERY: 'yes' }
- { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes' }
- { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes', CC: 'gcc' }
- { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes', WRAPPER_CMD: 'valgrind --error-exitcode=42', SECP256K1_TEST_ITERS: 2 }
- { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes', CC: 'gcc', WRAPPER_CMD: 'valgrind --error-exitcode=42', SECP256K1_TEST_ITERS: 2 }
- { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', SCHNORRSIG: 'yes', ELLSWIFT: 'yes', CPPFLAGS: '-DVERIFY', CTIMETESTS: 'no' }
- BUILD: 'distcheck'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: Install Homebrew packages
run: |
brew install automake libtool gcc
ln -s $(brew --prefix gcc)/bin/gcc-?? /usr/local/bin/gcc
- name: Install and cache Valgrind
uses: ./.github/actions/install-homebrew-valgrind
- name: CI script
env: ${{ matrix.env_vars }}
run: ./ci/ci.sh
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
win64-native:
name: ${{ matrix.configuration.job_name }}
# See: https://github.com/actions/runner-images#available-images.
runs-on: windows-2022
strategy:
fail-fast: false
matrix:
configuration:
- job_name: 'x64 (MSVC): Windows (VS 2022, shared)'
cmake_options: '-A x64 -DBUILD_SHARED_LIBS=ON'
- job_name: 'x64 (MSVC): Windows (VS 2022, static)'
cmake_options: '-A x64 -DBUILD_SHARED_LIBS=OFF'
- job_name: 'x64 (MSVC): Windows (VS 2022, int128_struct)'
cmake_options: '-A x64 -DSECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY=int128_struct'
- job_name: 'x64 (MSVC): Windows (VS 2022, int128_struct with __(u)mulh)'
cmake_options: '-A x64 -DSECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY=int128_struct'
cpp_flags: '/DSECP256K1_MSVC_MULH_TEST_OVERRIDE'
- job_name: 'x86 (MSVC): Windows (VS 2022)'
cmake_options: '-A Win32'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: Generate buildsystem
run: cmake -E env CFLAGS="/WX ${{ matrix.configuration.cpp_flags }}" cmake -B build -DSECP256K1_ENABLE_MODULE_RECOVERY=ON -DSECP256K1_BUILD_EXAMPLES=ON ${{ matrix.configuration.cmake_options }}
- name: Build
run: cmake --build build --config RelWithDebInfo -- /p:UseMultiToolTask=true /maxCpuCount
- name: Binaries info
# Use the bash shell included with Git for Windows.
shell: bash
run: |
cd build/src/RelWithDebInfo && file *tests.exe bench*.exe libsecp256k1-*.dll || true
- name: Check
run: |
ctest -C RelWithDebInfo --test-dir build -j ([int]$env:NUMBER_OF_PROCESSORS + 1)
build\src\RelWithDebInfo\bench_ecmult.exe
build\src\RelWithDebInfo\bench_internal.exe
build\src\RelWithDebInfo\bench.exe
win64-native-headers:
name: "x64 (MSVC): C++ (public headers)"
# See: https://github.com/actions/runner-images#available-images.
runs-on: windows-2022
steps:
- name: Checkout
uses: actions/checkout@v3
- name: Add cl.exe to PATH
uses: ilammy/msvc-dev-cmd@v1
- name: C++ (public headers)
run: |
cl.exe -c -WX -TP include/*.h
cxx_fpermissive_debian:
name: "C++ -fpermissive (entire project)"
runs-on: ubuntu-latest
needs: docker_cache
env:
CC: 'g++'
CFLAGS: '-fpermissive -g'
CPPFLAGS: '-DSECP256K1_CPLUSPLUS_TEST_OVERRIDE'
WERROR_CFLAGS:
ECDH: 'yes'
RECOVERY: 'yes'
SCHNORRSIG: 'yes'
ELLSWIFT: 'yes'
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
- run: cat tests.log || true
if: ${{ always() }}
- run: cat noverify_tests.log || true
if: ${{ always() }}
- run: cat exhaustive_tests.log || true
if: ${{ always() }}
- run: cat ctime_tests.log || true
if: ${{ always() }}
- run: cat bench.log || true
if: ${{ always() }}
- run: cat config.log || true
if: ${{ always() }}
- run: cat test_env.log || true
if: ${{ always() }}
- name: CI env
run: env
if: ${{ always() }}
cxx_headers_debian:
name: "C++ (public headers)"
runs-on: ubuntu-latest
needs: docker_cache
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
uses: ./.github/actions/run-in-docker-action
with:
dockerfile: ./ci/linux-debian.Dockerfile
tag: linux-debian-image
command: |
g++ -Werror include/*.h
clang -Werror -x c++-header include/*.h
sage:
name: "SageMath prover"
runs-on: ubuntu-latest
container:
image: sagemath/sagemath:latest
options: --user root
steps:
- name: Checkout
uses: actions/checkout@v3
- name: CI script
run: |
cd sage
sage prove_group_implementations.sage