Add benchmark

.github/workflows/Benchmark.yml

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+name: Run benchmarks
+
+on:
+  pull_request:
+    paths:
+      - "src/**"
+      - "benchmark/**"
+      - "Project.toml"
+      - "benchmark/Project.toml"
+
+permissions:
+  contents: write
+  issues: write
+  pull-requests: write
+
+concurrency:
+  # Skip intermediate builds: always.
+  # Cancel intermediate builds: only if it is a pull request build.
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: ${{ startsWith(github.ref, 'refs/pull/') }}
+
+jobs:
+  benchmark:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: julia-actions/setup-julia@latest
+        with:
+          version: 1
+      - uses: julia-actions/julia-buildpkg@latest
+      - name: Install dependencies
+        run: julia -e 'using Pkg; pkg"add PkgBenchmark BenchmarkCI@0.1"'
+      - name: Run benchmarks
+        run: julia -e 'using BenchmarkCI; BenchmarkCI.judge(baseline="origin/main")'
+      - name: Post results
+        run: julia -e 'using BenchmarkCI; BenchmarkCI.postjudge()'
+        env:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}

benchmark/Project.toml

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+[deps]
+ADNLPModels = "54578032-b7ea-4c30-94aa-7cbd1cce6c9a"
+BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
+NLPModels = "a4795742-8479-5a88-8948-cc11e1c8c1a6"
+OptimizationProblems = "5049e819-d29b-5fba-b941-0eee7e64c1c6"

benchmark/benchmarks.jl

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+using BenchmarkTools, ADNLPModels, NLPModels
+using OptimizationProblems
+using TimerNLPModels
+
+# Run locally with `tune!(SUITE)` and then `run(SUITE)`
+const SUITE = BenchmarkGroup()
+
+for n in [100, 1000]
+  g = zeros(n)
+  SUITE["grad! ref"]["$n"] = @benchmarkable grad!(nlp, get_x0(nlp), $g) setup =
+    (nlp = OptimizationProblems.ADNLPProblems.arglina(n = $n))
+  SUITE["grad! tim"]["$n"] = @benchmarkable grad!(timed_nlp, get_x0(timed_nlp), $g) setup =
+    (timed_nlp = TimerNLPModel(OptimizationProblems.ADNLPProblems.arglina(n = $n)))
+end
+for n in [100, 1000]
+  Hv = zeros(n)
+  SUITE["hprod! ref"]["$n"] = @benchmarkable hprod!(nlp, get_x0(nlp), get_x0(nlp), $Hv) setup =
+    (nlp = OptimizationProblems.ADNLPProblems.arglina(n = $n))
+  SUITE["hprod! tim"]["$n"] =
+    @benchmarkable hprod!(timed_nlp, get_x0(timed_nlp), get_x0(timed_nlp), $Hv) setup =
+      (timed_nlp = TimerNLPModel(OptimizationProblems.ADNLPProblems.arglina(n = $n)))
+end