turn running examples into gh workflow #2

	name: Examples
	on:
	- push
	- pull_request
	jobs:
	test:
	name: Julia ${{ matrix.version }} - ${{ matrix.os }} - ${{ matrix.arch }}
	runs-on: ${{ matrix.os }}
	strategy:
	matrix:
	version:
	- '1.6'
	- '1'
	- 'nightly'
	os:
	- ubuntu-latest
	arch:
	- x64
	allow_failures:
	- julia: nightly
	fail-fast: false
	steps:
	- uses: actions/checkout@v2
	- uses: julia-actions/setup-julia@v2
	with:
	version: ${{ matrix.version }}
	arch: ${{ matrix.arch }}
	- uses: actions/cache@v3
	env:
	cache-name: cache-artifacts
	with:
	path: ~/.julia/artifacts
	key: ${{ runner.os }}-test-${{ env.cache-name }}-${{ hashFiles('**/Project.toml') }}
	restore-keys: \|
	${{ runner.os }}-test-${{ env.cache-name }}-
	${{ runner.os }}-test-
	${{ runner.os }}-
	- name: Example project instantiation
	shell: julia --project=examples {}
	run: \|
	using Pkg
	Pkg.add([
	PackageSpec(name="StarAlgebras", rev="main"),
	])
	Pkg.instantiate()
	- name: Example C₂ linear action
	shell: julia --project=examples {0}
	run: \|
	include("examples/preamble.jl");
	include("examples/ex_C2.linear.jl")
	- name: Example a polynomial with Sym(4)-symmetry
	shell: julia --project=examples {0}
	run: \|
	include("examples/preamble.jl");
	include("examples/ex_S4.jl")
	- name: Example Motzkin polynomial
	shell: julia --project=examples {0}
	run: \|
	include("examples/preamble.jl");
	include("examples/ex_motzkin.jl")
	- name: Example Robinson Form
	shell: julia --project=examples {0}
	run: \|
	include("examples/preamble.jl");
	include("examples/ex_robinson_form.jl")

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