diff --git a/.github/workflows/crates.yml b/.github/workflows/crates.yml new file mode 100644 index 000000000..935ce2aba --- /dev/null +++ b/.github/workflows/crates.yml @@ -0,0 +1,28 @@ +name: Deploy Crates + +on: + push: + tags: + - "*" + workflow_dispatch: + +jobs: + deploy: + runs-on: ubuntu-latest + + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + - name: Install and configure Poetry + uses: snok/install-poetry@v1 + - name: Install task runner + run: pip install poethepoet + - name: Bump versions + run: | + poetry install --only version + poe bump-version + - name: Publish crates + run: | + jq '.[]' crates/release.json | xargs -I _ cargo publish -p _ --allow-dirty + env: + CARGO_REGISTRY_TOKEN: ${{ secrets.CARGO_REGISTRY_TOKEN }} diff --git a/.github/workflows/maturin.yml b/.github/workflows/maturin.yml new file mode 100644 index 000000000..4680d0316 --- /dev/null +++ b/.github/workflows/maturin.yml @@ -0,0 +1,123 @@ +name: Deploy Maturin wheels + +on: + push: + tags: + - "*" + workflow_dispatch: + +permissions: + contents: read + +jobs: + linux: + runs-on: ${{ matrix.platform.runner }} + strategy: + matrix: + platform: + - runner: ubuntu-latest + target: x86_64 + - runner: ubuntu-latest + target: x86 + - runner: ubuntu-latest + target: aarch64 + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + with: + python-version: "3.10" + - name: Build wheels + uses: PyO3/maturin-action@v1 + with: + target: ${{ matrix.platform.target }} + args: --release --out dist --find-interpreter -m crates/eko/Cargo.toml + sccache: "true" + manylinux: auto + - name: Upload wheels + uses: actions/upload-artifact@v4 + with: + name: wheels-linux-${{ matrix.platform.target }} + path: dist + + windows: + runs-on: ${{ matrix.platform.runner }} + strategy: + matrix: + platform: + - runner: windows-latest + target: x64 + - runner: windows-latest + target: x86 + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + with: + python-version: "3.10" + architecture: ${{ matrix.platform.target }} + - name: Build wheels + uses: PyO3/maturin-action@v1 + with: + target: ${{ matrix.platform.target }} + args: --release --out dist --find-interpreter -m crates/eko/Cargo.toml + sccache: "true" + - name: Upload wheels + uses: actions/upload-artifact@v4 + with: + name: wheels-windows-${{ matrix.platform.target }} + path: dist + + macos: + runs-on: ${{ matrix.platform.runner }} + strategy: + matrix: + platform: + - runner: macos-latest + target: x86_64 + - runner: macos-14 + target: aarch64 + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + with: + python-version: "3.10" + - name: Build wheels + uses: PyO3/maturin-action@v1 + with: + target: ${{ matrix.platform.target }} + args: --release --out dist --find-interpreter -m crates/eko/Cargo.toml + sccache: "true" + - name: Upload wheels + uses: actions/upload-artifact@v4 + with: + name: wheels-macos-${{ matrix.platform.target }} + path: dist + + sdist: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v4 + - name: Build sdist + uses: PyO3/maturin-action@v1 + with: + command: sdist + args: --out dist -m crates/eko/Cargo.toml + - name: Upload sdist + uses: actions/upload-artifact@v4 + with: + name: wheels-sdist + path: dist + + release: + name: Release + runs-on: ubuntu-latest + if: "startsWith(github.ref, 'refs/tags/')" + needs: [linux, windows, macos, sdist] + steps: + - uses: actions/download-artifact@v4 + - name: Publish to PyPI + uses: PyO3/maturin-action@v1 + env: + MATURIN_PYPI_TOKEN: ${{ secrets.PYPI_API_TOKEN }} + with: + command: upload + args: --non-interactive --skip-existing wheels-*/* diff --git a/.github/workflows/pypi.yml b/.github/workflows/pypi.yml index 46040a1ae..45f89248b 100644 --- a/.github/workflows/pypi.yml +++ b/.github/workflows/pypi.yml @@ -7,7 +7,7 @@ on: jobs: publish: - uses: N3PDF/workflows/.github/workflows/python-poetry-pypi.yml@v2 + uses: NNPDF/workflows/.github/workflows/python-poetry-pypi.yml@v2 secrets: PYPI_TOKEN: ${{ secrets.PYPI_TOKEN }} with: diff --git a/.github/workflows/unittests-rust.yml b/.github/workflows/unittests-rust.yml new file mode 100644 index 000000000..2b05cb4d6 --- /dev/null +++ b/.github/workflows/unittests-rust.yml @@ -0,0 +1,21 @@ +name: Rust unit tests + +on: push + +jobs: + test: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + - name: Install task runner + run: pip install poethepoet + - name: Run fmt + run: | + poe fmtcheck + - name: Run clippy + run: | + poe clippy + - name: Run Rust unit tests + run: | + poe rtest diff --git a/.github/workflows/unittests.yml b/.github/workflows/unittests.yml index ef3f7fa3f..a21b8531e 100644 --- a/.github/workflows/unittests.yml +++ b/.github/workflows/unittests.yml @@ -1,4 +1,4 @@ -name: tests +name: Python unit tests on: push @@ -6,10 +6,10 @@ jobs: test: strategy: matrix: - python-version: ["3.8", "3.9", "3.10", "3.11"] + python-version: ["3.9", "3.10", "3.11", "3.12"] fail-fast: false - uses: N3PDF/workflows/.github/workflows/python-poetry-tests.yml@v2 + uses: NNPDF/workflows/.github/workflows/python-poetry-tests.yml@v2 with: python-version: ${{ matrix.python-version }} poetry-extras: "-E mark -E box" diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index bee3e7adc..dfd0862f5 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -2,10 +2,10 @@ # See https://pre-commit.com/hooks.html for more hooks ci: autofix_prs: false - skip: [fmt-eko, fmt-ekore] + skip: [fmt] # will be run by a separate CI repos: - repo: https://github.com/pre-commit/pre-commit-hooks - rev: v4.5.0 + rev: v4.6.0 hooks: - id: trailing-whitespace - id: end-of-file-fixer @@ -19,11 +19,11 @@ repos: - id: pycln args: [--config=pyproject.toml] - repo: https://github.com/psf/black-pre-commit-mirror - rev: 23.12.1 + rev: 24.4.2 hooks: - id: black - repo: https://github.com/asottile/blacken-docs - rev: 1.16.0 + rev: 1.18.0 hooks: - id: blacken-docs - repo: https://github.com/pycqa/isort @@ -32,7 +32,7 @@ repos: - id: isort args: ["--profile", "black"] - repo: https://github.com/asottile/pyupgrade - rev: v3.15.0 + rev: v3.17.0 hooks: - id: pyupgrade - repo: https://github.com/pycqa/pydocstyle @@ -43,25 +43,23 @@ repos: args: ["--add-ignore=D107,D105"] additional_dependencies: - toml - - repo: local + - repo: https://github.com/pre-commit/mirrors-mypy + rev: v1.4.1 hooks: - - id: fmt-eko - name: fmt-eko - description: Format eko files with cargo fmt. - entry: cargo fmt --manifest-path crates/eko/Cargo.toml -- - language: system - files: ^crates/eko/.*\.rs$ - args: [] + - id: mypy + additional_dependencies: [types-PyYAML] + pass_filenames: false + args: ["--ignore-missing-imports", "src/"] - repo: local hooks: - - id: fmt-ekore - name: fmt-ekore - description: Format ekore files with cargo fmt. - entry: cargo fmt --manifest-path crates/ekore/Cargo.toml -- + - id: fmt + name: fmt + description: Format Rust files with cargo fmt. + entry: cargo fmt -- language: system - files: ^crates/ekore/.*\.rs$ + files: ^crates/.*\.rs$ args: [] - repo: https://github.com/pre-commit/pre-commit - rev: v3.6.0 + rev: v3.8.0 hooks: - id: validate_manifest diff --git a/.readthedocs.yaml b/.readthedocs.yaml index 7b5c39c8d..e734d32c8 100644 --- a/.readthedocs.yaml +++ b/.readthedocs.yaml @@ -1,3 +1,7 @@ +# See https://docs.readthedocs.io/en/stable/config-file/v2.html for details +# for poetry see https://docs.readthedocs.io/en/stable/build-customization.html#install-dependencies-with-poetry + +# Required version: 2 build: @@ -9,17 +13,13 @@ build: jobs: post_create_environment: - pip install poetry - - poetry config virtualenvs.create false post_install: - - poetry install --with docs + - VIRTUAL_ENV=$READTHEDOCS_VIRTUALENV_PATH poetry install --with docs +# Build documentation in the docs/ directory with Sphinx sphinx: configuration: doc/source/conf.py -# Optionally build your docs in additional formats such as PDF -# formats: -# - pdf - python: install: - method: pip diff --git a/crates/Cargo.lock b/Cargo.lock similarity index 75% rename from crates/Cargo.lock rename to Cargo.lock index b6d5d084d..80fa02400 100644 --- a/crates/Cargo.lock +++ b/Cargo.lock @@ -33,20 +33,18 @@ checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd" [[package]] name = "eko" -version = "0.1.0" +version = "0.0.1" dependencies = [ "ekore", - "katexit", "num", ] [[package]] name = "ekore" -version = "0.1.0" +version = "0.0.1" dependencies = [ "float-cmp", "hashbrown", - "katexit", "num", ] @@ -69,17 +67,6 @@ dependencies = [ "allocator-api2", ] -[[package]] -name = "katexit" -version = "0.1.4" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "eb1304c448ce2c207c2298a34bc476ce7ae47f63c23fa2b498583b26be9bc88c" -dependencies = [ - "proc-macro2", - "quote", - "syn", -] - [[package]] name = "num" version = "0.4.1" @@ -162,41 +149,6 @@ version = "1.18.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "dd8b5dd2ae5ed71462c540258bedcb51965123ad7e7ccf4b9a8cafaa4a63576d" -[[package]] -name = "proc-macro2" -version = "1.0.66" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "18fb31db3f9bddb2ea821cde30a9f70117e3f119938b5ee630b7403aa6e2ead9" -dependencies = [ - "unicode-ident", -] - -[[package]] -name = "quote" -version = "1.0.32" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "50f3b39ccfb720540debaa0164757101c08ecb8d326b15358ce76a62c7e85965" -dependencies = [ - "proc-macro2", -] - -[[package]] -name = "syn" -version = "1.0.109" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "72b64191b275b66ffe2469e8af2c1cfe3bafa67b529ead792a6d0160888b4237" -dependencies = [ - "proc-macro2", - "quote", - "unicode-ident", -] - -[[package]] -name = "unicode-ident" -version = "1.0.11" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "301abaae475aa91687eb82514b328ab47a211a533026cb25fc3e519b86adfc3c" - [[package]] name = "version_check" version = "0.9.4" diff --git a/Cargo.toml b/Cargo.toml new file mode 100644 index 000000000..f26518890 --- /dev/null +++ b/Cargo.toml @@ -0,0 +1,22 @@ +[workspace] +members = ["crates/*"] +resolver = "2" + +[workspace.package] +authors = [ + "A. Barontini ", + "A. Candido ", + "F. Hekhorn ", + "N. Laurenti ", + "G. Magni ", + "T. Sharma ", +] +description = "Evolution Kernel Operators" +readme = "README.md" +categories = ["science"] +edition = "2021" +keywords = ["physics"] +license = "GPL-3.0-or-later" +repository = "https://github.com/NNPDF/eko" +rust-version = "1.60.0" +version = "0.0.1" diff --git a/README.md b/README.md index 8344d4cb1..aef72ca2f 100644 --- a/README.md +++ b/README.md @@ -3,6 +3,7 @@

Tests + Rust tests Docs CodeFactor diff --git a/benchmarks/DSSV_bench.py b/benchmarks/DSSV_bench.py index 3df7af356..4654f67d7 100644 --- a/benchmarks/DSSV_bench.py +++ b/benchmarks/DSSV_bench.py @@ -3,6 +3,7 @@ Note that the PDF set is private, but can be obtained from the authors upon request. """ + from banana import register from eko import interpolation diff --git a/benchmarks/NNPDF_bench.py b/benchmarks/NNPDF_bench.py index 0e939f9ea..444b452cd 100644 --- a/benchmarks/NNPDF_bench.py +++ b/benchmarks/NNPDF_bench.py @@ -1,6 +1,7 @@ """ Benchmark NNPDF pdf family """ + from banana import register from eko import interpolation diff --git a/benchmarks/apfel_bench.py b/benchmarks/apfel_bench.py index ae3189119..d40c65894 100644 --- a/benchmarks/apfel_bench.py +++ b/benchmarks/apfel_bench.py @@ -1,6 +1,7 @@ """ Benchmark EKO to Apfel """ + import numpy as np from banana import register from banana.data import cartesian_product @@ -20,7 +21,6 @@ def tolist(input_dict): class ApfelBenchmark(Runner): - """ Globally set the external program to Apfel """ diff --git a/benchmarks/asv.conf.json b/benchmarks/asv.conf.json index 628c6b460..eea67e10c 100644 --- a/benchmarks/asv.conf.json +++ b/benchmarks/asv.conf.json @@ -35,7 +35,7 @@ // The Pythons you'd like to test against. If not provided, defaults // to the current version of Python used to run `asv`. - "pythons": ["3.8", "3.9", "3.10"], + "pythons": ["3.9", "3.10"], // The matrix of dependencies to test. Each key is the name of a // package (in PyPI) and the values are version numbers. An empty diff --git a/benchmarks/eko/benchmark_alphaem.py b/benchmarks/eko/benchmark_alphaem.py index 16e56ac4a..9cc05536c 100644 --- a/benchmarks/eko/benchmark_alphaem.py +++ b/benchmarks/eko/benchmark_alphaem.py @@ -35,9 +35,7 @@ def test_alphaQED_high(self): dict( alphas=0.118, alphaem=7.7553e-03, - scale=91.2, - num_flavs_ref=5, - max_num_flavs=5, + ref=(91.2, 5), em_running=True, ) ) @@ -75,9 +73,7 @@ def test_alphaQED_low(self): dict( alphas=0.118, alphaem=7.7553e-03, - scale=91.2, - num_flavs_ref=5, - max_num_flavs=5, + ref=(91.2, 5), em_running=True, ) ) @@ -124,9 +120,7 @@ def test_validphys(self): dict( alphas=0.118, alphaem=7.7553e-03, - scale=91.2, - num_flavs_ref=5, - max_num_flavs=5, + ref=(91.2, 5), em_running=True, ) ) diff --git a/benchmarks/eko/benchmark_evol_to_unity.py b/benchmarks/eko/benchmark_evol_to_unity.py index 41bc4b4d0..c466d00d8 100644 --- a/benchmarks/eko/benchmark_evol_to_unity.py +++ b/benchmarks/eko/benchmark_evol_to_unity.py @@ -19,16 +19,12 @@ def update_cards(theory: TheoryCard, operator: OperatorCard): theory.couplings = CouplingsInfo( alphas=0.35, alphaem=0.007496, - scale=float(np.sqrt(2)), - max_num_flavs=6, - num_flavs_ref=None, + ref=(float(np.sqrt(2)), 4), ) - theory.heavy.num_flavs_init = 4 - theory.heavy.intrinsic_flavors = [4, 5] theory.heavy.masses.c.value = 1.0 theory.heavy.masses.b.value = 4.75 theory.heavy.masses.t.value = 173.0 - operator.mu0 = float(np.sqrt(2)) + operator.init = (float(np.sqrt(2)), 4) operator.mugrid = [(10, 5)] operator.xgrid = XGrid(np.linspace(1e-1, 1, 30)) operator.configs.interpolation_polynomial_degree = 1 diff --git a/benchmarks/eko/benchmark_inverse_matching.py b/benchmarks/eko/benchmark_inverse_matching.py index d9c16b0b2..d63b776f0 100644 --- a/benchmarks/eko/benchmark_inverse_matching.py +++ b/benchmarks/eko/benchmark_inverse_matching.py @@ -20,14 +20,9 @@ couplings=dict( alphas=0.118, alphaem=0.007496252, - scale=91.2, - num_flavs_ref=5, - max_num_flavs=6, + ref=(91.2, 5), ), heavy=dict( - num_flavs_init=4, - num_flavs_max_pdf=6, - intrinsic_flavors=[], masses=[ReferenceRunning([mq, np.nan]) for mq in (MC, 4.92, 172.5)], masses_scheme="POLE", matching_ratios=[1.0, 1.0, np.inf], @@ -40,7 +35,7 @@ # operator settings op_raw = dict( - mu0=1.65, + init=(1.65, 4), xgrid=[0.0001, 0.001, 0.01, 0.1, 1], mugrid=[(MC, 3), (MC, 4)], configs=dict( diff --git a/benchmarks/eko/benchmark_msbar_evolution.py b/benchmarks/eko/benchmark_msbar_evolution.py index 6286e15ad..49dc0e952 100644 --- a/benchmarks/eko/benchmark_msbar_evolution.py +++ b/benchmarks/eko/benchmark_msbar_evolution.py @@ -1,4 +1,5 @@ """This module benchmarks MSbar mass evolution against APFEL.""" + import numpy as np import pytest @@ -20,9 +21,8 @@ def update_theory(theory: TheoryCard): theory.order = (3, 0) - theory.couplings.scale = 91 + theory.couplings.ref = (91, 5) theory.couplings.alphaem = 0.007496 - theory.couplings.num_flavs_ref = 5 theory.heavy.masses_scheme = QuarkMassScheme.MSBAR theory.heavy.masses.c = QuarkMassRef([1.5, 18]) theory.heavy.masses.b = QuarkMassRef([4.1, 20]) @@ -149,7 +149,7 @@ def benchmark_APFEL_msbar_evolution( apfel.SetTheory("QCD") apfel.SetPerturbativeOrder(order - 1) apfel.SetAlphaEvolution(method) - apfel.SetAlphaQCDRef(coupl.alphas, coupl.scale) + apfel.SetAlphaQCDRef(coupl.alphas, coupl.ref[0]) apfel.SetVFNS() apfel.SetMSbarMasses( qmasses.c.value, qmasses.b.value, qmasses.t.value @@ -217,7 +217,7 @@ def benchmark_APFEL_msbar_solution( apfel.SetTheory("QCD") apfel.SetPerturbativeOrder(order - 1) apfel.SetAlphaEvolution("exact") - apfel.SetAlphaQCDRef(coupl.alphas, coupl.scale) + apfel.SetAlphaQCDRef(coupl.alphas, coupl.ref[0]) apfel.SetVFNS() apfel.SetMSbarMasses(qmasses.c.value, qmasses.b.value, qmasses.t.value) apfel.SetMassScaleReference( diff --git a/benchmarks/eko/benchmark_strong_coupling.py b/benchmarks/eko/benchmark_strong_coupling.py index d13a264bd..d60bd28b0 100644 --- a/benchmarks/eko/benchmark_strong_coupling.py +++ b/benchmarks/eko/benchmark_strong_coupling.py @@ -8,7 +8,7 @@ from eko.couplings import Couplings from eko.io.runcards import TheoryCard from eko.quantities.couplings import CouplingEvolutionMethod, CouplingsInfo -from eko.quantities.heavy_quarks import QuarkMassScheme +from eko.quantities.heavy_quarks import FlavorsNumber, QuarkMassScheme # try to load LHAPDF - if not available, we'll use the cached values try: @@ -35,16 +35,11 @@ use_PEGASUS = False -def ref_couplings( - ref_values, - ref_scale: float, -) -> CouplingsInfo: +def ref_couplings(ref_values, ref_scale: float, ref_nf: FlavorsNumber) -> CouplingsInfo: return CouplingsInfo( alphas=ref_values[0], alphaem=ref_values[1], - scale=ref_scale, - max_num_flavs=6, - num_flavs_ref=None, + ref=(ref_scale, ref_nf), ) @@ -54,11 +49,11 @@ def test_a_s(self): """Tests the value of alpha_s (for now only at LO) for a given set of parameters """ - # TODO @JCM: we need a source for this! + # source: JCM known_val = 0.0091807954 ref_mu2 = 90 ask_q2 = 125 - ref = ref_couplings([0.1181, 0.007496], np.sqrt(ref_mu2)) + ref = ref_couplings([0.1181, 0.007496], np.sqrt(ref_mu2), 5) as_FFNS_LO = Couplings( couplings=ref, order=(1, 0), @@ -80,7 +75,7 @@ def benchmark_LHA_paper(self): # LO - FFNS # note that the LO-FFNS value reported in :cite:`Giele:2002hx` # was corrected in :cite:`Dittmar:2005ed` - coupling_ref = ref_couplings([0.35, 0.007496], np.sqrt(2)) + coupling_ref = ref_couplings([0.35, 0.007496], np.sqrt(2), 4) as_FFNS_LO = Couplings( couplings=coupling_ref, order=(1, 0), @@ -141,7 +136,7 @@ def benchmark_APFEL_ffns(self): threshold_holder = matchings.Atlas.ffns(nf, 0.0) for order in [1, 2, 3]: as_FFNS = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf), order=(order, 0), method=CouplingEvolutionMethod.EXPANDED, masses=threshold_holder.walls[1:-1], @@ -212,8 +207,7 @@ def benchmark_pegasus_ffns(self): } # collect my values threshold_holder = matchings.Atlas.ffns(nf, 0.0) - couplings = ref_couplings(coupling_ref, scale_ref) - couplings.max_num_flavs = 4 + couplings = ref_couplings(coupling_ref, scale_ref, nf) for order in [1, 2, 3, 4]: as_FFNS = Couplings( couplings=couplings, @@ -259,6 +253,7 @@ def benchmark_APFEL_vfns(self): Q2s = [1, 2**2, 3**2, 90**2, 100**2] coupling_ref = np.array([0.118, 0.007496]) scale_ref = 91.0 + nf_ref = 5 threshold_list = np.power([2, 4, 175], 2) apfel_vals_dict = { 1: np.array( @@ -292,7 +287,7 @@ def benchmark_APFEL_vfns(self): # collect my values for order in [1, 2, 3]: as_VFNS = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf_ref), order=(order, 0), method=CouplingEvolutionMethod.EXPANDED, masses=threshold_list, @@ -339,8 +334,9 @@ def benchmark_APFEL_vfns_fact_to_ren(self): ] coupling_ref = np.array([0.118, 0.007496]) scale_ref = 91.0 + nf_refs = (5, 6) fact_to_ren_lin_list = [0.567, 2.34] - threshold_list = np.power([2, 2 * 4, 2 * 92], 2) + masses_list = np.power([2, 2 * 4, 2 * 92], 2) apfel_vals_dict_list = [ { 1: np.array( @@ -431,16 +427,16 @@ def benchmark_APFEL_vfns_fact_to_ren(self): ), }, ] - for fact_to_ren_lin, apfel_vals_dict in zip( - fact_to_ren_lin_list, apfel_vals_dict_list + for fact_to_ren_lin, apfel_vals_dict, nf_ref in zip( + fact_to_ren_lin_list, apfel_vals_dict_list, nf_refs ): # collect my values for order in [1, 2, 3]: as_VFNS = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf_ref), order=(order, 0), method=CouplingEvolutionMethod.EXACT, - masses=threshold_list.tolist(), + masses=masses_list.tolist(), hqm_scheme=QuarkMassScheme.POLE, thresholds_ratios=np.array([1.0, 1.0, 1.0]) / fact_to_ren_lin**2, ) @@ -457,7 +453,7 @@ def benchmark_APFEL_vfns_fact_to_ren(self): apfel.SetAlphaEvolution("exact") apfel.SetAlphaQCDRef(coupling_ref[0], scale_ref) apfel.SetVFNS() - apfel.SetPoleMasses(*np.sqrt(threshold_list)) + apfel.SetPoleMasses(*np.sqrt(masses_list)) apfel.SetRenFacRatio(1.0 / fact_to_ren_lin) apfel.InitializeAPFEL() # collect a_s @@ -468,12 +464,18 @@ def benchmark_APFEL_vfns_fact_to_ren(self): ) np.testing.assert_allclose(apfel_vals, np.array(apfel_vals_cur)) # check myself to APFEL - np.testing.assert_allclose(apfel_vals, np.array(my_vals), rtol=2.5e-5) + np.testing.assert_allclose( + apfel_vals, + np.array(my_vals), + rtol=2.5e-5, + err_msg=f"{order=},{fact_to_ren_lin=}", + ) def benchmark_APFEL_vfns_threshold(self): Q2s = np.power([30, 96, 150], 2) coupling_ref = np.array([0.118, 0.007496]) scale_ref = 91.0 + nf_ref = 4 threshold_list = np.power([30, 95, 240], 2) thresholds_ratios = [2.34**2, 1.0**2, 0.5**2] apfel_vals_dict = { @@ -487,7 +489,7 @@ def benchmark_APFEL_vfns_threshold(self): # collect my values for order in [2, 3]: as_VFNS = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf_ref), order=(order, 0), method=CouplingEvolutionMethod.EXPANDED, masses=threshold_list.tolist(), @@ -496,7 +498,6 @@ def benchmark_APFEL_vfns_threshold(self): ) my_vals = [] for Q2 in Q2s: - print(Q2) my_vals.append(as_VFNS.a(Q2)[0]) # get APFEL numbers - if available else use cache apfel_vals = apfel_vals_dict[order] @@ -516,7 +517,6 @@ def benchmark_APFEL_vfns_threshold(self): apfel_vals_cur = [] for Q2 in Q2s: apfel_vals_cur.append(apfel.AlphaQCD(np.sqrt(Q2)) / (4.0 * np.pi)) - print(apfel_vals_cur) np.testing.assert_allclose(apfel_vals, np.array(apfel_vals_cur)) # check myself to APFEL np.testing.assert_allclose(apfel_vals, np.array(my_vals)) @@ -525,6 +525,7 @@ def benchmark_APFEL_vfns_msbar(self): Q2s = np.power([3, 96, 150], 2) coupling_ref = np.array([0.118, 0.007496]) scale_ref = 91.0 + nf_ref = 5 Q2m = np.power([2.0, 4.0, 175], 2) m2s = np.power((1.4, 4.0, 175), 2) apfel_vals_dict = { @@ -538,7 +539,7 @@ def benchmark_APFEL_vfns_msbar(self): # collect my values for order in [2, 3]: as_VFNS = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf_ref), order=(order, 0), method=CouplingEvolutionMethod.EXPANDED, masses=m2s.tolist(), @@ -586,7 +587,7 @@ def benchmark_lhapdf_ffns_lo(self): # collect my values threshold_holder = matchings.Atlas.ffns(nf, 0.0) as_FFNS_LO = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf), order=(1, 0), method=CouplingEvolutionMethod.EXACT, masses=threshold_holder.walls[1:-1], @@ -629,8 +630,9 @@ def benchmark_apfel_exact(self): Q2s = [1e1, 1e2, 1e3, 1e4] coupling_ref = np.array([0.118, 0.007496]) scale_ref = 90 + nf = 3 # collect my values - threshold_holder = matchings.Atlas.ffns(3, 0.0) + threshold_holder = matchings.Atlas.ffns(nf, 0.0) # LHAPDF cache apfel_vals_dict = { 1: np.array( @@ -660,7 +662,7 @@ def benchmark_apfel_exact(self): } for order in range(1, 3 + 1): sc = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf), order=(order, 0), method=CouplingEvolutionMethod.EXACT, masses=threshold_holder.walls[1:-1], @@ -696,8 +698,9 @@ def benchmark_lhapdf_exact(self): Q2s = [1e1, 1e2, 1e3, 1e4] coupling_ref = np.array([0.118, 0.007496]) scale_ref = 90 + nf = 3 # collect my values - threshold_holder = matchings.Atlas.ffns(3, 0.0) + threshold_holder = matchings.Atlas.ffns(nf, 0.0) # LHAPDF cache lhapdf_vals_dict = { 1: np.array( @@ -735,7 +738,7 @@ def benchmark_lhapdf_exact(self): } for order in range(1, 4 + 1): sc = Couplings( - couplings=ref_couplings(coupling_ref, scale_ref), + couplings=ref_couplings(coupling_ref, scale_ref, nf), order=(order, 0), method=CouplingEvolutionMethod.EXACT, masses=threshold_holder.walls[1:-1], @@ -766,6 +769,7 @@ def benchmark_lhapdf_zmvfns_lo(self): Q2s = [1, 1e1, 1e2, 1e3, 1e4] coupling_ref = np.array([0.118, 0.007496]) scale_ref = 900 + nf_ref = 5 m2c = 2.0 m2b = 25.0 m2t = 1500.0 @@ -785,7 +789,7 @@ def benchmark_lhapdf_zmvfns_lo(self): # collect my values as_VFNS_LO = Couplings( - couplings=ref_couplings(coupling_ref, np.sqrt(scale_ref)), + couplings=ref_couplings(coupling_ref, np.sqrt(scale_ref), nf_ref), order=(1, 0), method=CouplingEvolutionMethod.EXACT, masses=threshold_list, @@ -836,10 +840,8 @@ def benchmark_APFEL_fact_to_ren_lha_settings(self, theory_card: TheoryCard): theory = theory_card theory.order = (3, 0) theory.couplings.alphas = 0.35 - theory.couplings.scale = float(np.sqrt(2)) theory.couplings.alphaem = 0.007496 - theory.couplings.num_flavs_ref = 4 - theory.heavy.num_flavs_init = 3 + theory.couplings.ref = (float(np.sqrt(2)), 4) theory.xif = np.sqrt(1.0 / 2.0) theory.heavy.masses.c.value = np.sqrt(2.0) theory.heavy.masses.b.value = 4.5 @@ -881,7 +883,7 @@ def benchmark_APFEL_fact_to_ren_lha_settings(self, theory_card: TheoryCard): apfel.SetTheory("QCD") apfel.SetPerturbativeOrder(theory.order[0] - 1) apfel.SetAlphaEvolution("exact") - apfel.SetAlphaQCDRef(theory.couplings.alphas, theory.couplings.scale) + apfel.SetAlphaQCDRef(theory.couplings.alphas, theory.couplings.ref[0]) apfel.SetVFNS() apfel.SetPoleMasses(qmasses.c.value, qmasses.b.value, qmasses.t.value) apfel.SetMassMatchingScales( diff --git a/benchmarks/ekobox/benchmark_evol_pdf.py b/benchmarks/ekobox/benchmark_evol_pdf.py index 3a9dc0f4a..a0ddcaac4 100644 --- a/benchmarks/ekobox/benchmark_evol_pdf.py +++ b/benchmarks/ekobox/benchmark_evol_pdf.py @@ -21,15 +21,13 @@ def benchmark_evolve_single_member( theory = theory_card theory.order = (1, 0) theory.couplings.alphas = 0.118000 - theory.couplings.scale = 91.1876 + theory.couplings.ref = (91.1876, 5) theory.couplings.alphaem = 0.007496 - theory.couplings.max_num_flavs = 3 - theory.heavy.num_flavs_max_pdf = 3 theory.heavy.masses.c.value = 1.3 theory.heavy.masses.b.value = 4.75 theory.heavy.masses.t.value = 172 op = operator_card - op.mu0 = 5.0 + op.init = (5.0, 4) op.mugrid = mugrid # lhapdf import (maybe i have to dump with a x*), do plots) with lhapdf_path(test_pdf): @@ -49,7 +47,7 @@ def benchmark_evolve_single_member( ev_pdf = lhapdf.mkPDF("EvPDF", 0) assert info["XMin"] == op.xgrid.raw[0] assert info["SetDesc"] == "MyEvolvedPDF" - assert info["MZ"] == theory.couplings.scale + assert info["MZ"] == theory.couplings.ref[0] assert info["Debug"] == "Debug" xgrid = op.xgrid.raw for idx, mu2 in enumerate(op.mu2grid): @@ -76,7 +74,7 @@ def benchmark_evolve_more_members( theory = theory_card theory.order = (1, 0) op = operator_card - op.mu0 = 1.0 + op.init = (1.0, 3) op.mugrid = [(10.0, 5), (100.0, 5)] op.xgrid = XGrid([1e-7, 0.01, 0.1, 0.2, 0.3]) with lhapdf_path(test_pdf): diff --git a/benchmarks/ekore/benchmark_ad.py b/benchmarks/ekore/benchmark_pegasus_ad_us_as2.py similarity index 87% rename from benchmarks/ekore/benchmark_ad.py rename to benchmarks/ekore/benchmark_pegasus_ad_us_as2.py index c3c8de01e..ebc53e3ae 100644 --- a/benchmarks/ekore/benchmark_ad.py +++ b/benchmarks/ekore/benchmark_pegasus_ad_us_as2.py @@ -1,4 +1,8 @@ -"""Benchmark the NLO anomalous dimensions against PEGASUS""" +"""Benchmark the unpolarized NLO anomalous dimensions against PEGASUS. + +Recall that we obtained our representation not from PEGASUS, but derived it +ourselves (see comment there).""" + import numpy as np import pytest @@ -7,39 +11,6 @@ from eko.constants import CA, CF, TR, zeta2, zeta3 -@pytest.mark.isolated -def benchmark_melling_g3_pegasus(): - for N in [1, 2, 3, 4, 1 + 1j, 1 - 1j, 2 + 1j, 3 + 1j]: - check_melling_g3_pegasus(N) - - -def check_melling_g3_pegasus(N): - S1 = h.S1(N) - N1 = N + 1.0 - N2 = N + 2.0 - N3 = N + 3.0 - N4 = N + 4.0 - N5 = N + 5.0 - N6 = N + 6.0 - S11 = S1 + 1.0 / N1 - S12 = S11 + 1.0 / N2 - S13 = S12 + 1.0 / N3 - S14 = S13 + 1.0 / N4 - S15 = S14 + 1.0 / N5 - S16 = S15 + 1.0 / N6 - - SPMOM = ( - 1.0000 * (zeta2 - S1 / N) / N - - 0.9992 * (zeta2 - S11 / N1) / N1 - + 0.9851 * (zeta2 - S12 / N2) / N2 - - 0.9005 * (zeta2 - S13 / N3) / N3 - + 0.6621 * (zeta2 - S14 / N4) / N4 - - 0.3174 * (zeta2 - S15 / N5) / N5 - + 0.0699 * (zeta2 - S16 / N6) / N6 - ) - np.testing.assert_allclose(h.g_functions.mellin_g3(N, S1), SPMOM) - - @pytest.mark.isolated def benchmark_gamma_ns_1_pegasus(): # remember that singlet has pole at N=1 @@ -53,7 +24,6 @@ def check_gamma_1_pegasus(N, NF): ZETA2 = zeta2 ZETA3 = zeta3 - # N = np.random.rand(1) + np.random.rand(1) * 1j S1 = h.S1(N) S2 = h.S2(N) diff --git a/benchmarks/ekore/benchmark_pegasus_mellin.py b/benchmarks/ekore/benchmark_pegasus_mellin.py new file mode 100644 index 000000000..addefe421 --- /dev/null +++ b/benchmarks/ekore/benchmark_pegasus_mellin.py @@ -0,0 +1,41 @@ +"""Benchmark the Mellin transforms against PEGASUS.""" + +import numpy as np +import pytest + +import ekore.anomalous_dimensions.unpolarized.space_like.as2 as ad_as2 +import ekore.harmonics as h +from eko.constants import CA, CF, TR, zeta2, zeta3 + + +@pytest.mark.isolated +def benchmark_melling_g3_pegasus(): + for N in [1, 2, 3, 4, 1 + 1j, 1 - 1j, 2 + 1j, 3 + 1j]: + check_melling_g3_pegasus(N) + + +def check_melling_g3_pegasus(N): + S1 = h.S1(N) + N1 = N + 1.0 + N2 = N + 2.0 + N3 = N + 3.0 + N4 = N + 4.0 + N5 = N + 5.0 + N6 = N + 6.0 + S11 = S1 + 1.0 / N1 + S12 = S11 + 1.0 / N2 + S13 = S12 + 1.0 / N3 + S14 = S13 + 1.0 / N4 + S15 = S14 + 1.0 / N5 + S16 = S15 + 1.0 / N6 + + SPMOM = ( + 1.0000 * (zeta2 - S1 / N) / N + - 0.9992 * (zeta2 - S11 / N1) / N1 + + 0.9851 * (zeta2 - S12 / N2) / N2 + - 0.9005 * (zeta2 - S13 / N3) / N3 + + 0.6621 * (zeta2 - S14 / N4) / N4 + - 0.3174 * (zeta2 - S15 / N5) / N5 + + 0.0699 * (zeta2 - S16 / N6) / N6 + ) + np.testing.assert_allclose(h.g_functions.mellin_g3(N, S1), SPMOM) diff --git a/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py b/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py new file mode 100644 index 000000000..66b471c57 --- /dev/null +++ b/benchmarks/ekore/benchmark_pegasus_ome_ps_as2.py @@ -0,0 +1,199 @@ +"""Benchmark the polarized NNLO OME against PEGASUS""" + +import numpy as np +import pytest + +import ekore.harmonics as h +import ekore.operator_matrix_elements.polarized.space_like.as2 as ome_as2 +from eko.constants import CA, CF, TR, zeta2, zeta3 + + +@pytest.mark.isolated +def benchmark_pegasus_ome_ps_as2(): + # remember that singlet has pole at N=1 + for N in [2, 3, 4, +1j, -1j, +1j, +1j]: + for NF in [3, 4, 5]: + check_pegasus_ome_ps_as2_s(N, NF) + + +def check_pegasus_ome_ps_as2_s(N, NF): + # Test against pegasus implementation by Ignacio Borsa + ZETA2 = zeta2 + ZETA3 = zeta3 + + S1 = h.S1(N) + S2 = h.S2(N) + S3 = h.S3(N) + # + NM = N - 1.0 + N1 = N + 1.0 + N2 = N + 2.0 + NI = 1.0 / N + NMI = 1.0 / NM + N1I = 1.0 / N1 + N2I = 1.0 / N2 + # + S1M = S1 - NI + S2M = S2 - NI * NI + S3M = S3 - NI**3 + S11 = S1 + N1I + S21 = S2 + N1I * N1I + S31 = S3 + N1I**3 + S22 = S21 + N2I * N2I + ACG3 = h.g_functions.mellin_g3(N1, S11) + # + # CALL BET(N1,V1) + # CALL BET1(N1,V2) + # CALL BET2(N1,V3) + # CALL BET3(N1,V4) + V1 = ( + h.polygamma.cern_polygamma((N1 + 1.0) / 2.0, 0) + - h.polygamma.cern_polygamma(N1 / 2.0, 0) + ) / 2.0 + V2 = ( + h.polygamma.cern_polygamma((N1 + 1.0) / 2.0, 1) + - h.polygamma.cern_polygamma(N1 / 2.0, 1) + ) / 4.0 + V3 = ( + h.polygamma.cern_polygamma((N1 + 1.0) / 2.0, 2) + - h.polygamma.cern_polygamma(N1 / 2.0, 2) + ) / 8.0 + # + # + # ..The moments of the OME's DA_Hq^{PS,(2)} and DA_Hg^{S,(2)} given in + # Eqs. (138) and (111) of BBDKS. Note that for the former, an + # additional finite renormalization is needed to go from the Larin + # to the the M scheme + # + # + # ... Anomalous dimension terms + # + G0QG_HAT = -8 * TR * NM / N / N1 + # + G0GQ = -4 * CF * N2 / N / N1 + # + G0QQ = -CF * (2 * (2.0 + 3.0 * N + 3.0 * N**2) / N / N1 - 8.0 * S1) + # + # ... Polinomials in N + POL1 = ( + 12 * N**8 + 52 * N**7 + 60 * N**6 - 25 * N**4 - 2 * N**3 + 3 * N**2 + 8 * N + 4 + ) + # + POL2 = ( + 2.0 * N**8 + + 10.0 * N**7 + + 22.0 * N**6 + + 36.0 * N**5 + + 29.0 * N**4 + + 4.0 * N**3 + + 33.0 * N**2 + + 12.0 * N + + 4 + ) + # + POLR3 = 15 * N**6 + 45 * N**5 + 374 * N**4 + 601 * N**3 + 161 * N**2 - 24 * N + 36 + # + POLR8 = ( + -15 * N**8 + - 60 * N**7 + - 82 * N**6 + - 44 * N**5 + - 15 * N**4 + - 4 * N**2 + - 12 * N + - 8 + ) + # + # ... Finite renormalization term from Larin to M scheme + # + ZQQPS = -CF * TR * 8 * N2 * (N**2 - N - 1.0) / N**3 / N1**3 + # + A2HQ = ( + -4 + * CF + * TR + * N2 + / N**2 + / N1**2 + * (NM * (2 * S2 + ZETA2) - (4 * N**3 - 4 * N**2 - 3 * N - 1) / N**2 / N1**2) + + ZETA2 / 8 * G0QG_HAT * G0GQ + ) + # + # + A2HG = ( + CF + * TR + * ( + 4.0 + / 3 + * NM + / N + / N1 + * (-4.0 * S3 + S1**3 + 3.0 * S1 * S2 + 6.0 * S1 * ZETA2) + - 4 + * (N**4 + 17.0 * N**3 + 43.0 * N**2 + 33.0 * N + 2) + * S2 + / N**2 + / N1**2 + / N2 + - 4 * (3.0 * N**2 + 3.0 * N - 2) * S1**2 / N**2 / N1 / N2 + - 2 * NM * (3.0 * N**2 + 3.0 * N + 2) * ZETA2 / N**2 / N1**2 + - 4 * (N**3 - 2.0 * N**2 - 22.0 * N - 36) * S1 / N**2 / N1 / N2 + - 2 * POL1 / N**4 / N1**4 / N2 + ) + + CA + * TR + * ( + 4 * (N**2 + 4.0 * N + 5) * S1**2 / N / N1**2 / N2 + + 4 * (7.0 * N**3 + 24.0 * N**2 + 15.0 * N - 16) * S2 / N**2 / N1**2 / N2 + + 8 * NM * N2 * ZETA2 / N**2 / N1**2 + + 4 * (N**4 + 4.0 * N**3 - N**2 - 10.0 * N + 2) * S1 / N / N1**3 / N2 + - 4 * POL2 / N**4 / N1**4 / N2 + - 16 * NM / N / N1**2 * V2 + + 4 + * NM + / 3.0 + / N + / N1 + * ( + 12.0 * ACG3 + + 3.0 * V3 + - 8.0 * S3 + - S1**3 + - 9.0 * S1 * S2 + - 12.0 * S1 * V2 + - 12.0 * V1 * ZETA2 + - 3.0 * ZETA3 + ) + ) + # ... added simplified Gamma0_gg+2*beta0 + + 1 / 8 * G0QG_HAT * (8 * CA * (-2.0 / N / N1 + S1) - G0QQ) + ) + # + # ..The moments of the OME's DA_{gq,H}^{S,(2)} and DA_{gg,H}^{S,(2)} + # given in Eqs. (175) and (188) of Bierenblaum et al. + # + A2GQ = ( + CF + * TR + * N2 + * ( + 8 * (22.0 + 41.0 * N + 28.0 * N**2) / 27.0 / N / N1**3 + - 8 * (2.0 + 5.0 * N) * S1 / 9.0 / N / N1**2 + + 4 * (S1**2 + S2) / 3.0 / N / N1 + ) + ) + # + A2GG = ( + CA + * TR + * (2 * POLR3 / 27.0 / N**3 / N1**3 - 4 * (47.0 + 56.0 * N) * S1 / 27.0 / N1) + + CF * TR * POLR8 / N**4 / N1**4 + ) + + cache = h.cache.reset() + omeS2 = ome_as2.A_singlet(N, cache, 0.0, NF) + np.testing.assert_allclose(omeS2[0, 0], A2GG, err_msg=f"gg,{N=}") + np.testing.assert_allclose(omeS2[0, 1], A2GQ, err_msg=f"gq,{N=}") + np.testing.assert_allclose(omeS2[2, 1], A2HQ + NF * ZQQPS, err_msg=f"hq,{N=}") + np.testing.assert_allclose(omeS2[2, 0], A2HG, err_msg=f"hg,{N=}") diff --git a/benchmarks/lha_paper_bench.py b/benchmarks/lha_paper_bench.py index 9254307dc..bdc48ce59 100644 --- a/benchmarks/lha_paper_bench.py +++ b/benchmarks/lha_paper_bench.py @@ -1,6 +1,7 @@ """ Benchmark to :cite:`Giele:2002hx` (LO + NLO) and :cite:`Dittmar:2005ed` (NNLO). """ + import os import numpy as np @@ -12,19 +13,15 @@ register(__file__) +_sqrt2 = float(np.sqrt(2.0)) + base_theory = { "ModEv": "EXA", - "Q0": np.sqrt( - 2.0 - ), # Eq. (30) :cite:`Giele:2002hx`, Eq. (4.53) :cite:`Dittmar:2005ed` - "mc": np.sqrt( - 2.0 - ), # Eq. (34) :cite:`Giele:2002hx`, Eq. (4.56) :cite:`Dittmar:2005ed` + "Q0": _sqrt2, # Eq. (30) :cite:`Giele:2002hx`, Eq. (4.53) :cite:`Dittmar:2005ed` + "mc": _sqrt2, # Eq. (34) :cite:`Giele:2002hx`, Eq. (4.56) :cite:`Dittmar:2005ed` "mb": 4.5, "mt": 175, - "Qref": np.sqrt( - 2.0 - ), # Eq. (32) :cite:`Giele:2002hx`,Eq. (4.53) :cite:`Dittmar:2005ed` + "Qref": _sqrt2, # Eq. (32) :cite:`Giele:2002hx`,Eq. (4.53) :cite:`Dittmar:2005ed` "alphas": 0.35, # Eq. (4.55) :cite:`Dittmar:2005ed` "alphaqed": 0.007496, "QED": 0, @@ -78,11 +75,11 @@ def sv_theories(self, pto): """ low = self.theory.copy() low["PTO"] = pto - low["XIF"] = np.sqrt(1.0 / 2.0) + low["XIF"] = 1.0 / _sqrt2 low["ModSV"] = "exponentiated" high = self.theory.copy() high["PTO"] = pto - high["XIF"] = np.sqrt(2.0) + high["XIF"] = _sqrt2 high["ModSV"] = "exponentiated" return [high, low] @@ -301,7 +298,7 @@ def benchmark_sv(self, pto): sv_theory["kcThr"] = 1.0 + 1e-15 sv_theory["nfref"] = 4 sv_theory["EScaleVar"] = 0 - low["XIR"] = np.sqrt(2.0) - high["XIR"] = np.sqrt(0.5) + low["XIR"] = _sqrt2 + high["XIR"] = 1.0 / _sqrt2 self.run_lha([low, high]) diff --git a/crates/Cargo.toml b/crates/Cargo.toml deleted file mode 100644 index 8a69f7202..000000000 --- a/crates/Cargo.toml +++ /dev/null @@ -1,3 +0,0 @@ -[workspace] - -members = ["eko", "ekore"] diff --git a/crates/README.md b/crates/README.md new file mode 100644 index 000000000..baa27a087 --- /dev/null +++ b/crates/README.md @@ -0,0 +1,18 @@ +# Welcome to the rusty side of EKO! + +Here, we develop the Rust components of the EKO library + +## Crates + +- `ekore` contains the underlying collinear anomalous dimensions and the operator matrix elements +- `eko` is the glue between the Python side and the `ekore` crate + +## Files + +- `release.json` defines the releasing order of crates + - only listed crates will be released + - dependent crates should follow those they are depending on +- `katex-header.html` is an HTML snippet to be included in every docs page to inject + KaTeX support +- `bump-versions.py` increases the Rust versions in all crates consistently +- `make_bib.py` generates the Rust function stubs which serve as fake bibliography system diff --git a/crates/bump-versions.py b/crates/bump-versions.py new file mode 100644 index 000000000..6b7220f7e --- /dev/null +++ b/crates/bump-versions.py @@ -0,0 +1,40 @@ +import json +import sys +from pathlib import Path + +import tomlkit + +HERE = Path(__file__).parent +CRATES = json.loads((HERE / "release.json").read_text()) + + +def workspace(manifest, version): + manifest["workspace"]["package"]["version"] = version + return manifest + + +def crate(manifest, version): + internals = set(manifest["dependencies"].keys()).intersection(CRATES) + for dep in internals: + manifest["dependencies"][dep]["version"] = version + return manifest + + +def update(path, version, edit): + path = HERE / Path(path) / "Cargo.toml" + manifest = tomlkit.parse(path.read_text()) + manifest = edit(manifest, version) + path.write_text(tomlkit.dumps(manifest)) + + +def main(version): + update("..", version, workspace) + for name in CRATES: + update(name, version, crate) + + +if __name__ == "__main__": + if len(sys.argv) < 2: + raise ValueError(f"Pass a version (e.g. v0.0.0) to {sys.argv[0]}") + # `git describe` starts with a `v` which we need to remove again + main(sys.argv[1][1:]) diff --git a/crates/doc-header.html b/crates/doc-header.html new file mode 100644 index 000000000..3b2f9651b --- /dev/null +++ b/crates/doc-header.html @@ -0,0 +1,65 @@ + + + + diff --git a/crates/eko/Cargo.toml b/crates/eko/Cargo.toml index 50aee6504..0fffdea1a 100644 --- a/crates/eko/Cargo.toml +++ b/crates/eko/Cargo.toml @@ -1,7 +1,19 @@ [package] name = "eko" -version = "0.1.0" -edition = "2021" + +authors.workspace = true +description.workspace = true +readme.workspace = true +categories.workspace = true +edition.workspace = true +keywords.workspace = true +license.workspace = true +repository.workspace = true +rust-version.workspace = true +version.workspace = true + +[package.metadata.docs.rs] +rustdoc-args = ["--html-in-header", "doc-header.html"] [lib] name = "ekors" @@ -9,5 +21,4 @@ crate-type = ["cdylib"] [dependencies] num = "0.4.1" -katexit = "0.1.4" -ekore = { version = "0.1.0", path = "../ekore" } +ekore = { path = "../ekore", version = "0.0.1" } diff --git a/crates/eko/doc-header.html b/crates/eko/doc-header.html new file mode 120000 index 000000000..22282661d --- /dev/null +++ b/crates/eko/doc-header.html @@ -0,0 +1 @@ +../doc-header.html \ No newline at end of file diff --git a/crates/eko/pyproject.toml b/crates/eko/pyproject.toml index 2fff64504..7b2921e04 100644 --- a/crates/eko/pyproject.toml +++ b/crates/eko/pyproject.toml @@ -3,8 +3,8 @@ requires = ["maturin>=1.1,<2.0"] build-backend = "maturin" [project] -name = "ekors" -requires-python = ">=3.8" +name = "eko-rs" +requires-python = ">=3.9" classifiers = [ "Programming Language :: Rust", "Programming Language :: Python :: Implementation :: CPython", diff --git a/crates/eko/src/bib.rs b/crates/eko/src/bib.rs new file mode 120000 index 000000000..1e713280e --- /dev/null +++ b/crates/eko/src/bib.rs @@ -0,0 +1 @@ +../../ekore/src/bib.rs \ No newline at end of file diff --git a/crates/eko/src/lib.rs b/crates/eko/src/lib.rs index e6b3e44cc..67bf8956a 100644 --- a/crates/eko/src/lib.rs +++ b/crates/eko/src/lib.rs @@ -1,12 +1,15 @@ //! Interface to the eko Python package. -use ekore; use ekore::harmonics::cache::Cache; use std::ffi::c_void; -mod mellin; +pub mod bib; +pub mod mellin; /// QCD intergration kernel inside quad. +/// +/// # Safety +/// This is the connection from Python, so we don't know what is on the other side. #[no_mangle] pub unsafe extern "C" fn rust_quad_ker_qcd(u: f64, rargs: *mut c_void) -> f64 { let args = *(rargs as *mut QuadQCDargs); @@ -23,11 +26,11 @@ pub unsafe extern "C" fn rust_quad_ker_qcd(u: f64, rargs: *mut c_void) -> f64 { &mut c, args.nf, ); - for k in 0..args.order_qcd { - for l in 0..2 { - for m in 0..2 { - re.push(res[k][l][m].re); - im.push(res[k][l][m].im); + for gamma_s in res.iter().take(args.order_qcd) { + for col in gamma_s.iter().take(2) { + for el in col.iter().take(2) { + re.push(el.re); + im.push(el.im); } } } @@ -38,9 +41,9 @@ pub unsafe extern "C" fn rust_quad_ker_qcd(u: f64, rargs: *mut c_void) -> f64 { &mut c, args.nf, ); - for j in 0..args.order_qcd { - re.push(res[j].re); - im.push(res[j].im); + for el in res.iter().take(args.order_qcd) { + re.push(el.re); + im.push(el.im); } } // pass on @@ -127,7 +130,10 @@ pub struct QuadQCDargs { pub is_threshold: bool, } -/// empty placeholder function for python callback +/// Empty placeholder function for python callback. +/// +/// # Safety +/// This is the connection back to Python, so we don't know what is on the other side. pub unsafe extern "C" fn my_py( _re_gamma: *const f64, _im_gamma: *const f64, @@ -161,6 +167,9 @@ pub unsafe extern "C" fn my_py( /// /// This is required to make the arguments part of the API, otherwise it won't be added to the compiled /// package (since it does not appear in the signature of `quad_ker_qcd`). +/// +/// # Safety +/// This is the connection from and back to Python, so we don't know what is on the other side. #[no_mangle] pub unsafe extern "C" fn empty_qcd_args() -> QuadQCDargs { QuadQCDargs { diff --git a/crates/eko/src/mellin.rs b/crates/eko/src/mellin.rs index 5afc96f5f..1322bbe08 100644 --- a/crates/eko/src/mellin.rs +++ b/crates/eko/src/mellin.rs @@ -6,14 +6,16 @@ use num::complex::Complex; use std::f64::consts::PI; -#[cfg_attr(doc, katexit::katexit)] /// Talbot inversion path. /// /// Implements the algorithm presented in [\[Abate\]](crate::bib::Abate). -/// $p_{\text{Talbot}}(t) = o + r \cdot ( \theta \cot(\theta) + i\theta)$ with $\theta = \pi(2t-1)$ -/// The default values for the parameters $r,o$ are given by $r = 1/2, o = 0$ for -/// the non-singlet integrals and by $r = \frac{2}{5} \frac{16}{1 - \ln(x)}, o = 1$ -/// for the singlet sector. Note that the non-singlet kernels evolve poles only up to +/// +/// $$p_{\text{Talbot}}(t) = o + r \cdot ( \theta \cot(\theta) + i\theta) ~ \text{with}~ \theta = \pi(2t-1)$$ +/// +/// The default values for the parameters $r,o$ are given by +/// $r = \frac{2}{5} \frac{16}{0.1 - \ln(x)}$ and $o = 0$ for +/// the non-singlet integrals and $o = 1$ for the singlet sector. +/// Note that the non-singlet kernels evolve poles only up to /// $N=0$ whereas the singlet kernels have poles up to $N=1$. pub struct TalbotPath { /// integration variable @@ -27,16 +29,20 @@ pub struct TalbotPath { } impl TalbotPath { - /// Auxilary angle. + /// Auxiliary angle. fn theta(&self) -> f64 { PI * (2.0 * self.t - 1.0) } /// Constructor from parameters. pub fn new(t: f64, logx: f64, is_singlet: bool) -> Self { + // The prescription suggested by Abate for r is 0.4 * M / ( - logx) + // with M the number of accurate digits; Maria Ubiali suggested in her thesis M = 16. + // However, this seems to yield unstable results for the OME in the large x region + // so we add an additional regularization, which makes the path less "edgy" there. Self { t, - r: 0.4 * 16.0 / (1.0 - logx), + r: 0.4 * 16.0 / (0.1 - logx), o: if is_singlet { 1. } else { 0. }, } } diff --git a/crates/ekore/Cargo.toml b/crates/ekore/Cargo.toml index ef8499dba..419bc126a 100644 --- a/crates/ekore/Cargo.toml +++ b/crates/ekore/Cargo.toml @@ -1,14 +1,23 @@ [package] name = "ekore" -version = "0.1.0" -edition = "2021" description = "EKO expressions" -license = "GPL-3.0-or-later" + +authors.workspace = true +readme.workspace = true +categories.workspace = true +edition.workspace = true +keywords.workspace = true +license.workspace = true +repository.workspace = true +rust-version.workspace = true +version.workspace = true + +[package.metadata.docs.rs] +rustdoc-args = ["--html-in-header", "doc-header.html"] # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html [dependencies] num = "0.4.1" float-cmp = "0.9.0" -katexit = "0.1.4" hashbrown = "0.14" diff --git a/crates/ekore/doc-header.html b/crates/ekore/doc-header.html new file mode 120000 index 000000000..22282661d --- /dev/null +++ b/crates/ekore/doc-header.html @@ -0,0 +1 @@ +../doc-header.html \ No newline at end of file diff --git a/crates/ekore/refs.bib b/crates/ekore/refs.bib index 3c63b69e7..e8ef02c2b 100644 --- a/crates/ekore/refs.bib +++ b/crates/ekore/refs.bib @@ -50,3 +50,22 @@ @article{Abate journal = {International Journal for Numerical Methods in Engineering}, doi = {10.1002/nme.995} } +@phdthesis{MuselliPhD, + author = "Muselli, Claudio", + title = "{Resummations of Transverse Momentum Distributions}", + doi = "10.13130/muselli-claudio_phd2017-12-01", + school = "Università degli studi di Milano, Dipartimento di Fisica", + year = "2017" +} +@article{Vogt2004ns, + author = "Vogt, A.", + archivePrefix = "arXiv", + doi = "10.1016/j.cpc.2005.03.103", + eprint = "hep-ph/0408244", + journal = "Comput. Phys. Commun.", + pages = "65--92", + reportNumber = "NIKHEF-04-011", + title = "{Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS}", + volume = "170", + year = "2005" +} diff --git a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike.rs b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike.rs index c2d0fb0d7..dec73bf04 100644 --- a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike.rs +++ b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike.rs @@ -1,14 +1,37 @@ //! The unpolarized, space-like anomalous dimensions at various couplings power. +use crate::constants::{PID_NSM, PID_NSP, PID_NSV}; use crate::harmonics::cache::Cache; use num::complex::Complex; use num::Zero; pub mod as1; +pub mod as2; +pub mod as3; /// Compute the tower of the non-singlet anomalous dimensions. -pub fn gamma_ns_qcd(order_qcd: usize, _mode: u16, c: &mut Cache, nf: u8) -> Vec> { +pub fn gamma_ns_qcd(order_qcd: usize, mode: u16, c: &mut Cache, nf: u8) -> Vec> { let mut gamma_ns = vec![Complex::::zero(); order_qcd]; gamma_ns[0] = as1::gamma_ns(c, nf); + // NLO and beyond + if order_qcd >= 2 { + let gamma_ns_1 = match mode { + PID_NSP => as2::gamma_nsp(c, nf), + // To fill the full valence vector in NNLO we need to add gamma_ns^1 explicitly here + PID_NSM | PID_NSV => as2::gamma_nsm(c, nf), + _ => panic!("Unkown non-singlet sector element"), + }; + gamma_ns[1] = gamma_ns_1 + } + // NNLO and beyond + if order_qcd >= 3 { + let gamma_ns_2 = match mode { + PID_NSP => as3::gamma_nsp(c, nf), + PID_NSM => as3::gamma_nsm(c, nf), + PID_NSV => as3::gamma_nsv(c, nf), + _ => panic!("Unkown non-singlet sector element"), + }; + gamma_ns[2] = gamma_ns_2 + } gamma_ns } @@ -22,5 +45,13 @@ pub fn gamma_singlet_qcd(order_qcd: usize, c: &mut Cache, nf: u8) -> Vec<[[Compl order_qcd ]; gamma_S[0] = as1::gamma_singlet(c, nf); + // NLO and beyond + if order_qcd >= 2 { + gamma_S[1] = as2::gamma_singlet(c, nf); + } + // NNLO and beyond + if order_qcd >= 3 { + gamma_S[2] = as3::gamma_singlet(c, nf); + } gamma_S } diff --git a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as2.rs b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as2.rs new file mode 100644 index 000000000..b2b16459c --- /dev/null +++ b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as2.rs @@ -0,0 +1,338 @@ +//! NLO QCD + +use ::num::complex::Complex; +use std::f64::consts::LN_2; + +use crate::constants::{CA, CF, TR, ZETA2, ZETA3}; +use crate::harmonics::cache::{Cache, K}; + +/// Compute the valence-like non-singlet anomalous dimension. +/// +/// Implements Eq. (3.6) of [\[Moch:2004pa\]][crate::bib::Moch2004pa]. +pub fn gamma_nsm(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let Sp1m = c.get(K::S1mh); + let Sp2m = c.get(K::S2mh); + let Sp3m = c.get(K::S3mh); + let g3n = c.get(K::G3); + #[rustfmt::skip] + let gqq1m_cfca = 16.0 * g3n + - (144.0 + N * (1.0 + N) * (156.0 + N * (340.0 + N * (655.0 + 51.0 * N * (2.0 + N))))) + / (18.0 * N.powu(3) * (1. + N).powu(3)) + + (-14.666666666666666 + 8.0 / N - 8.0 / (1.0 + N)) * S2 + - (4.0 * Sp2m) / (N + N.powu(2)) + + S1 * (29.77777777777778 + 16.0 / N.powu(2) - 16.0 * S2 + 8.0 * Sp2m) + + 2.0 * Sp3m + + 10.0 * ZETA3 + + ZETA2 * (16.0 * S1 - 16.0 * Sp1m - (16.0 * (1. + N * LN_2)) / N); + #[rustfmt::skip] + let gqq1m_cfcf = -32. * g3n + + (24. - N * (-32. + 3. * N * (-8. + N * (3. + N) * (3. + N.powu(2))))) + / (2. * N.powu(3) * (1. + N).powu(3)) + + (12. - 8. / N + 8. / (1. + N)) * S2 + + S1 * (-24. / N.powu(2) - 8. / (1. + N).powu(2) + 16. * S2 - 16. * Sp2m) + + (8. * Sp2m) / (N + N.powu(2)) + - 4. * Sp3m + - 20. * ZETA3 + + ZETA2 * (-32. * S1 + 32. * Sp1m + 32. * (1. / N + LN_2)); + #[rustfmt::skip] + let gqq1m_cfnf = (-12. + N * (20. + N * (47. + 3. * N * (2. + N)))) + / (9. * N.powu(2) * (1. + N).powu(2)) + - (40. * S1) / 9. + + (8. * S2) / 3.; + + CF * (CA * gqq1m_cfca + CF * gqq1m_cfcf + 2.0 * TR * (nf as f64) * gqq1m_cfnf) +} + +/// Compute the singlet-like non-singlet anomalous dimension. +/// +/// Implements Eq. (3.5) of [\[Moch:2004pa\]][crate::bib::Moch2004pa]. +pub fn gamma_nsp(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let Sp1p = c.get(K::S1h); + let Sp2p = c.get(K::S2h); + let Sp3p = c.get(K::S3h); + let g3n = c.get(K::G3); + #[rustfmt::skip] + let gqq1p_cfca = -16. * g3n + + (132. - N * (340. + N * (655. + 51. * N * (2. + N)))) + / (18. * N.powu(2) * (1. + N).powu(2)) + + (-14.666666666666666 + 8. / N - 8. / (1. + N)) * S2 + - (4. * Sp2p) / (N + N.powu(2)) + + S1 * (29.77777777777778 - 16. / N.powu(2) - 16. * S2 + 8. * Sp2p) + + 2. * Sp3p + + 10. * ZETA3 + + ZETA2 * (16. * S1 - 16. * Sp1p + 16. * (1. / N - LN_2)); + #[rustfmt::skip] + let gqq1p_cfcf = 32. * g3n + - (8. + N * (32. + N * (40. + 3. * N * (3. + N) * (3. + N.powu(2))))) + / (2. * N.powu(3) * (1. + N).powu(3)) + + (12. - 8. / N + 8. / (1. + N)) * S2 + + S1 * (40. / N.powu(2) - 8. / (1. + N).powu(2) + 16. * S2 - 16. * Sp2p) + + (8. * Sp2p) / (N + N.powu(2)) + - 4. * Sp3p + - 20. * ZETA3 + + ZETA2 * (-32. * S1 + 32. * Sp1p + 32. * (-(1. / N) + LN_2)); + #[rustfmt::skip] + let gqq1p_cfnf = (-12. + N * (20. + N * (47. + 3. * N * (2. + N)))) + / (9. * N.powu(2) * (1. + N).powu(2)) + - (40. * S1) / 9. + + (8. * S2) / 3.; + + CF * (CA * gqq1p_cfca + CF * gqq1p_cfcf + 2.0 * TR * (nf as f64) * gqq1p_cfnf) +} + +/// Compute the pure-singlet quark-quark anomalous dimension. +/// +/// Implements Eq. (3.6) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_ps(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let gqqps1_nfcf = (-4. * (2. + N * (5. + N)) * (4. + N * (4. + N * (7. + 5. * N)))) + / ((-1. + N) * N.powu(3) * (1. + N).powu(3) * (2. + N).powu(2)); + 2.0 * TR * (nf as f64) * CF * gqqps1_nfcf +} + +/// Compute the quark-gluon singlet anomalous dimension. +/// +/// Implements Eq. (3.7) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_qg(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let Sp2p = c.get(K::S2h); + #[rustfmt::skip] + let gqg1_nfca = (-4. + * (16. + + N * (64. + + N * (104. + + N * (128. + N * (85. + N * (36. + N * (25. + N * (15. + N * (6. + N)))))))))) + / ((-1. + N) * N.powu(3) * (1. + N).powu(3) * (2. + N).powu(3)) + - (16. * (3. + 2. * N) * S1) / (2. + 3. * N + N.powu(2)).powu(2) + + (4. * (2. + N + N.powu(2)) * S1.powu(2)) / (N * (2. + 3. * N + N.powu(2))) + - (4. * (2. + N + N.powu(2)) * S2) / (N * (2. + 3. * N + N.powu(2))) + + (4. * (2. + N + N.powu(2)) * Sp2p) / (N * (2. + 3. * N + N.powu(2))); + #[rustfmt::skip] + let gqg1_nfcf = (-2. * (4. + N * (8. + N * (1. + N) * (25. + N * (26. + 5. * N * (2. + N)))))) + / (N.powu(3) * (1. + N).powu(3) * (2. + N)) + + (8. * S1) / N.powu(2) + - (4. * (2. + N + N.powu(2)) * S1.powu(2)) / (N * (2. + 3. * N + N.powu(2))) + + (4. * (2. + N + N.powu(2)) * S2) / (N * (2. + 3. * N + N.powu(2))); + 2.0 * TR * (nf as f64) * (CA * gqg1_nfca + CF * gqg1_nfcf) +} + +/// Compute the gluon-quark singlet anomalous dimension. +/// +/// Implements Eq. (3.8) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_gq(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let Sp2p = c.get(K::S2h); + #[rustfmt::skip] + let ggq1_cfcf = (-8. + + 2. * N * (-12. + N * (-1. + N * (28. + N * (43. + 6. * N * (5. + 2. * N)))))) + / ((-1. + N) * N.powu(3) * (1. + N).powu(3)) + - (4. * (10. + N * (17. + N * (8. + 5. * N))) * S1) / ((-1. + N) * N * (1. + N).powu(2)) + + (4. * (2. + N + N.powu(2)) * S1.powu(2)) / (N * (-1. + N.powu(2))) + + (4. * (2. + N + N.powu(2)) * S2) / (N * (-1. + N.powu(2))); + #[rustfmt::skip] + let ggq1_cfca = (-4. + * (144. + + N * (432. + + N * (-152. + + N * (-1304. + + N * (-1031. + + N * (695. + N * (1678. + N * (1400. + N * (621. + 109. * N)))))))))) + / (9. * N.powu(3) * (1. + N).powu(3) * (-2. + N + N.powu(2)).powu(2)) + + (4. * (-12. + N * (-22. + 41. * N + 17. * N.powu(3))) * S1) + / (3. * (-1. + N).powu(2) * N.powu(2) * (1. + N)) + + ((8. + 4. * N + 4. * N.powu(2)) * S1.powu(2)) / (N - N.powu(3)) + + ((8. + 4. * N + 4. * N.powu(2)) * S2) / (N - N.powu(3)) + + (4. * (2. + N + N.powu(2)) * Sp2p) / (N * (-1. + N.powu(2))); + #[rustfmt::skip] + let ggq1_cfnf = (8. * (16. + N * (27. + N * (13. + 8. * N)))) + / (9. * (-1. + N) * N * (1. + N).powu(2)) + - (8. * (2. + N + N.powu(2)) * S1) / (3. * N * (-1. + N.powu(2))); + CF * (CA * ggq1_cfca + CF * ggq1_cfcf + 2.0 * TR * (nf as f64) * ggq1_cfnf) +} + +/// Compute the gluon-gluon singlet anomalous dimension. +/// +/// Implements Eq. (3.9) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_gg(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let Sp1p = c.get(K::S1h); + let Sp2p = c.get(K::S2h); + let Sp3p = c.get(K::S3h); + let g3n = c.get(K::G3); + #[rustfmt::skip] + let ggg1_caca = 16. * g3n + - (2. + * (576. + + N * (1488. + + N * (560. + + N * (-1248. + + N * (-1384. + + N * (1663. + + N * (4514. + + N * (4744. + + N * (3030. + + N * (1225. + 48. * N * (7. + N)))))))))))) + / (9. * (-1. + N).powu(2) * N.powu(3) * (1. + N).powu(3) * (2. + N).powu(3)) + + S1 * (29.77777777777778 + 16. / (-1. + N).powu(2) + 16. / (1. + N).powu(2) + - 16. / (2. + N).powu(2) + - 8. * Sp2p) + + (16. * (1. + N + N.powu(2)) * Sp2p) / (N * (1. + N) * (-2. + N + N.powu(2))) + - 2. * Sp3p + - 10. * ZETA3 + + ZETA2 * (-16. * S1 + 16. * Sp1p + 16. * (-(1. / N) + LN_2)); + #[rustfmt::skip] + let ggg1_canf = (8. * (6. + N * (1. + N) * (28. + N * (1. + N) * (13. + 3. * N * (1. + N))))) + / (9. * N.powu(2) * (1. + N).powu(2) * (-2. + N + N.powu(2))) + - (40. * S1) / 9.; + #[rustfmt::skip] + let ggg1_cfnf = (2. + * (-8. + + N * (-8. + + N * (-10. + N * (-22. + N * (-3. + N * (6. + N * (8. + N * (4. + N))))))))) + / (N.powu(3) * (1. + N).powu(3) * (-2. + N + N.powu(2))); + + CA * CA * ggg1_caca + 2.0 * TR * (nf as f64) * (CA * ggg1_canf + CF * ggg1_cfnf) +} + +/// Compute the singlet anomalous dimension matrix. +pub fn gamma_singlet(c: &mut Cache, nf: u8) -> [[Complex; 2]; 2] { + let gamma_qq = gamma_nsp(c, nf) + gamma_ps(c, nf); + [ + [gamma_qq, gamma_qg(c, nf)], + [gamma_gq(c, nf), gamma_gg(c, nf)], + ] +} + +#[cfg(test)] +mod tests { + use crate::cmplx; + use crate::{anomalous_dimensions::unpolarized::spacelike::as2::*, harmonics::cache::Cache}; + use float_cmp::assert_approx_eq; + use num::complex::Complex; + use num::traits::Pow; + use std::f64::consts::PI; + + const NF: u8 = 5; + + #[test] + fn physical_constraints() { + // number conservation + let mut c = Cache::new(cmplx![1., 0.]); + assert_approx_eq!(f64, gamma_nsm(&mut c, NF).re, 0.0, epsilon = 2e-6); + + // momentum conservation + let mut c = Cache::new(cmplx![2., 0.]); + let gS1 = gamma_singlet(&mut c, NF); + + // gluon momentum conservation + assert_approx_eq!(f64, (gS1[0][1] + gS1[1][1]).re, 0.0, epsilon = 4e-5); + // quark momentum conservation + assert_approx_eq!(f64, (gS1[0][0] + gS1[1][0]).re, 0.0, epsilon = 2e-6); + } + + #[test] + fn N2() { + // reference values are obtained from MMa + let mut c = Cache::new(cmplx![2., 0.]); + + // ns+ + assert_approx_eq!( + f64, + gamma_nsp(&mut c, NF).re, + (-112.0 * CF + 376.0 * CA - 64.0 * (NF as f64)) * CF / 27.0, + epsilon = 2e-6 + ); + + // ns- + let check = ((34.0 / 27.0 * (-47.0 + 6. * PI.pow(2)) - 16.0 * ZETA3) * CF + + (373.0 / 9.0 - 34.0 * PI.pow(2) / 9.0 + 8.0 * ZETA3) * CA + - 64.0 * (NF as f64) / 27.0) + * CF; + assert_approx_eq!(f64, gamma_nsm(&mut c, NF).re, check, epsilon = 2e-6); + + // singlet sector + let gS1 = gamma_singlet(&mut c, NF); + // ps + assert_approx_eq!( + f64, + gamma_ps(&mut c, NF).re, + -40.0 * CF * (NF as f64) / 27.0 + ); + // qg + assert_approx_eq!( + f64, + gS1[0][1].re, + (-74.0 * CF - 35.0 * CA) * (NF as f64) / 27.0 + ); + // gq + assert_approx_eq!( + f64, + gS1[1][0].re, + (112.0 * CF - 376.0 * CA + 104.0 * (NF as f64)) * CF / 27.0, + epsilon = 1e-13 + ); + } + + #[test] + fn N3() { + let mut c = Cache::new(cmplx![3., 0.]); + // ns+ + let check = ((-34487.0 / 432.0 + 86.0 * PI.pow(2) / 9.0 - 16.0 * ZETA3) * CF + + (459.0 / 8.0 - 43.0 * PI.pow(2) / 9.0 + 8.0 * ZETA3) * CA + - 415.0 * (NF as f64) / 108.0) + * CF; + assert_approx_eq!(f64, gamma_nsp(&mut c, NF).re, check, epsilon = 2e-6); + + // singlet sector + let gS1 = gamma_singlet(&mut c, NF); + // ps + assert_approx_eq!( + f64, + gamma_ps(&mut c, NF).re, + -1391.0 * CF * (NF as f64) / 5400.0 + ); + // gq + assert_approx_eq!( + f64, + gS1[1][0].re, + (973.0 / 432.0 * CF + + (2801.0 / 5400.0 - 7.0 * PI.pow(2) / 9.0) * CA + + 61.0 / 54.0 * (NF as f64)) + * CF + ); + // gg + assert_approx_eq!( + f64, + gS1[1][1].re, + (-79909.0 / 3375.0 + 194.0 * PI.pow(2) / 45.0 - 8.0 * ZETA3) * CA.pow(2) + - 967.0 / 270.0 * CA * (NF as f64) + + 541.0 / 216.0 * CF * (NF as f64), + epsilon = 3e-5 + ); + } + + #[test] + fn N4() { + let mut c = Cache::new(cmplx![4., 0.]); + // singlet sector + let gS1 = gamma_singlet(&mut c, NF); + // qg + assert_approx_eq!( + f64, + gS1[0][1].re, + (-56317.0 / 18000.0 * CF + 16387.0 / 9000.0 * CA) * (NF as f64), + epsilon = 1e-14 + ) + } +} diff --git a/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as3.rs b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as3.rs new file mode 100644 index 000000000..14354f736 --- /dev/null +++ b/crates/ekore/src/anomalous_dimensions/unpolarized/spacelike/as3.rs @@ -0,0 +1,455 @@ +//! NNLO QCD + +use ::num::complex::Complex; +use num::traits::Pow; + +use crate::cmplx; +use crate::constants::{ZETA2, ZETA3}; +use crate::harmonics::cache::{Cache, K}; + +/// Compute the valence-like non-singlet anomalous dimension. +/// +/// Implements Eq. (3.8) of [\[Moch:2004pa\]][crate::bib::Moch2004pa]. +pub fn gamma_nsm(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E2 = 2.0 * (-S1 / N.powu(3) + (ZETA2 - S2) / N.powu(2) - (S3 - ZETA3) / N); + + #[rustfmt::skip] + let pm2 = + -1174.898 * (S1 - 1.0 / N) + + 1295.470 + - 714.1 * S1 / N + - 433.2 / (N + 3.0) + + 297.0 / (N + 2.0) + - 3505.0 / (N + 1.0) + + 1860.2 / N + - 1465.2 / N.powu(2) + + 399.2 * 2.0 / N.powu(3) + - 320.0 / 9.0 * 6.0 / N.powu(4) + + 116.0 / 81.0 * 24.0 / N.powu(5) + + 684.0 * E1 + + 251.2 * E2; + + #[rustfmt::skip] + let pm2_nf = + 183.187 * (S1 - 1.0 / N) + - 173.933 + + 5120./ 81.0 * S1 / N + + 34.76 / (N + 3.0) + + 77.89 / (N + 2.0) + + 406.5 / (N + 1.0) + - 216.62 / N + + 172.69 / N.powu(2) + - 3216.0 / 81.0 * 2.0 / N.powu(3) + + 256.0 / 81.0 * 6.0 / N.powu(4) + - 65.43 * E1 + + 1.136 * 6.0 / (N + 1.0).powu(4); + + #[rustfmt::skip] + let pf2_nfnf = + -( + 17.0 / 72.0 + - 2.0 / 27.0 * S1 + - 10.0 / 27.0 * S2 + + 2.0 / 9.0 * S3 + - (12.0 * N.powu(4) + 2.0 * N.powu(3) - 12.0 * N.powu(2) - 2.0 * N + 3.0) + / (27.0 * N.powu(3) * (N + 1.0).powu(3)) + )* 32.0 / 3.0; + + let result = pm2 + (nf as f64) * pm2_nf + (nf as f64).pow(2) * pf2_nfnf; + -1. * result +} + +/// Compute the singlet-like non-singlet anomalous dimension. +/// +/// Implements Eq. (3.7) of [\[Moch:2004pa\]][crate::bib::Moch2004pa]. +pub fn gamma_nsp(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E2 = 2.0 * (-S1 / N.powu(3) + (ZETA2 - S2) / N.powu(2) - (S3 - ZETA3) / N); + + #[rustfmt::skip] + let pp2 = + -1174.898 * (S1 - 1.0 / N) + + 1295.384 + - 714.1 * S1 / N + - 522.1 / (N + 3.0) + + 243.6 / (N + 2.0) + - 3135.0 / (N + 1.0) + + 1641.1 / N + - 1258.0 / N.powu(2) + + 294.9 * 2.0 / N.powu(3) + - 800. / 27.0 * 6.0 / N.powu(4) + + 128. / 81.0 * 24.0 / N.powu(5) + + 563.9 * E1 + + 256.8 * E2; + + #[rustfmt::skip] + let pp2_nf = + 183.187 * (S1 - 1.0 / N) + - 173.924 + + 5120. / 81.0 * S1 / N + + 44.79 / (N + 3.0) + + 72.94 / (N + 2.0) + + 381.1 / (N + 1.0) + - 197.0 / N + + 152.6 / N.powu(2) + - 2608.0 / 81.0 * 2.0 / N.powu(3) + + 192.0 / 81.0 * 6.0 / N.powu(4) + - 56.66 * E1 + + 1.497 * 6.0 / (N + 1.0).powu(4); + + #[rustfmt::skip] + let pf2_nfnf = + -( + 17.0 / 72.0 + - 2.0 / 27.0 * S1 + - 10.0 / 27.0 * S2 + + 2.0 / 9.0 * S3 + - (12.0 * N.powu(4) + 2.0 * N.powu(3) - 12.0 * N.powu(2) - 2.0 * N + 3.0) + / (27.0 * N.powu(3) * (N + 1.0).powu(3)) + )* 32.0/ 3.0; + + let result = pp2 + (nf as f64) * pp2_nf + (nf as f64).pow(2) * pf2_nfnf; + -1. * result +} + +/// Compute the valence non-singlet anomalous dimension. +/// +/// Implements Eq. (3.9) of [\[Moch:2004pa\]][crate::bib::Moch2004pa]. +pub fn gamma_nsv(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E2 = 2.0 * (-S1 / N.powu(3) + (ZETA2 - S2) / N.powu(2) - (S3 - ZETA3) / N); + let B11 = -(S1 + 1.0 / (N + 1.0)) / (N + 1.0); + let B12 = -(S1 + 1.0 / (N + 1.0) + 1.0 / (N + 2.0)) / (N + 2.0); + + let B1M = if N.im.abs() < 1.0e-5 && (N - 1.0).re.abs() < 1.0e-5 { + cmplx![-ZETA2, 0.] + } else { + -(S1 - 1.0 / N) / (N - 1.0) + }; + + #[rustfmt::skip] + let ps2 = -( + -163.9 * (B1M + S1 / N) + - 7.208 * (B11 - B12) + + 4.82 * (1.0 / (N + 3.0) - 1.0 / (N + 4.0)) + - 43.12 * (1.0 / (N + 2.0) - 1.0 / (N + 3.0)) + + 44.51 * (1.0 / (N + 1.0) - 1.0 / (N + 2.0)) + + 151.49 * (1.0 / N - 1.0 / (N + 1.0)) + - 178.04 / N.powu(2) + + 6.892 * 2.0 / N.powu(3) + - 40.0 / 27.0 * (-2.0 * 6.0 / N.powu(4) - 24.0 / N.powu(5)) + - 173.1 * E1 + + 46.18 * E2 + ); + + gamma_nsm(c, nf) + (nf as f64) * ps2 +} + +/// Compute the pure-singlet quark-quark anomalous dimension. +/// +/// Implements Eq. (3.10) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_ps(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E11 = (S1 + 1.0 / (N + 1.0)) / (N + 1.0).powu(2) + + (S2 + 1.0 / (N + 1.0).powu(2) - ZETA2) / (N + 1.0); + let B21 = ((S1 + 1.0 / (N + 1.0)).powu(2) + S2 + 1.0 / (N + 1.0).powu(2)) / (N + 1.0); + let B3 = -(S1.powu(3) + 3.0 * S1 * S2 + 2.0 * S3) / N; + + #[rustfmt::skip] + let B31 = -( + (S1 + 1.0 / (N + 1.0)).powu(3) + + 3.0 * (S1 + 1.0 / (N + 1.0)) * (S2 + 1.0 / (N + 1.0).powu(2)) + + 2.0 * (S3 + 1.0 / (N + 1.0).powu(3)) + ) / (N + 1.0); + + #[rustfmt::skip] + let ps1 = + -3584.0 / 27.0 * (-1.0 / (N - 1.0).powu(2) + 1.0 / N.powu(2)) + - 506.0 * (1.0 / (N - 1.0) - 1.0 / N) + + 160.0 / 27.0 * (24.0 / N.powu(5) - 24.0 / (N + 1.0).powu(5)) + - 400.0 / 9.0 * (-6.0 / N.powu(4) + 6.0 / (N + 1.0).powu(4)) + + 131.4 * (2.0 / N.powu(3) - 2.0 / (N + 1.0).powu(3)) + - 661.6 * (-1.0 / N.powu(2) + 1.0 / (N + 1.0).powu(2)) + - 5.926 * (B3 - B31) + - 9.751 * ((S1.powu(2) + S2) / N - B21) + - 72.11 * (-S1 / N + (S1 + 1.0 / (N + 1.0)) / (N + 1.0)) + + 177.4 * (1.0 / N - 1.0 / (N + 1.0)) + + 392.9 * (1.0 / (N + 1.0) - 1.0 / (N + 2.0)) + - 101.4 * (1.0 / (N + 2.0) - 1.0 / (N + 3.0)) + - 57.04 * (E1 - E11); + + #[rustfmt::skip] + let ps2 = + 256.0 / 81.0 * (1.0 / (N - 1.0) - 1.0 / N) + + 32.0 / 27.0 * (-6.0 / N.powu(4) + 6.0 / (N + 1.0).powu(4)) + + 17.89 * (2.0 / N.powu(3) - 2.0 / (N + 1.0).powu(3)) + + 61.75 * (-1.0 / N.powu(2) + 1.0 / (N + 1.0).powu(2)) + + 1.778 * ((S1.powu(2) + S2) / N - B21) + + 5.944 * (-S1 / N + (S1 + 1.0 / (N + 1.0)) / (N + 1.0)) + + 100.1 * (1.0 / N - 1.0 / (N + 1.0)) + - 125.2 * (1.0 / (N + 1.0) - 1.0 / (N + 2.0)) + + 49.26 * (1.0 / (N + 2.0) - 1.0 / (N + 3.0)) + - 12.59 * (1.0 / (N + 3.0) - 1.0 / (N + 4.0)) + - 1.889 * (E1 - E11); + + let result = (nf as f64) * ps1 + (nf as f64).pow(2) * ps2; + -1.0 * result +} + +/// Compute the quark-gluon singlet anomalous dimension. +/// +/// Implements Eq. (3.11) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_qg(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + let S4 = c.get(K::S4); + + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E2 = 2.0 * (-S1 / N.powu(3) + (ZETA2 - S2) / N.powu(2) - (S3 - ZETA3) / N); + let B3 = -(S1.powu(3) + 3.0 * S1 * S2 + 2.0 * S3) / N; + let B4 = (S1.powu(4) + 6.0 * S1.powu(2) * S2 + 8.0 * S1 * S3 + 3.0 * S2.powu(2) + 6.0 * S4) / N; + + #[rustfmt::skip] + let qg1 = + 896.0 / 3.0 / (N - 1.0).powu(2) + - 1268.3 / (N - 1.0) + + 536.0 / 27.0 * 24.0 / N.powu(5) + + 44.0 / 3.0 * 6.0 / N.powu(4) + + 881.5 * 2.0 / N.powu(3) + - 424.9 / N.powu(2) + + 100.0 / 27.0 * B4 + - 70.0 / 9.0 * B3 + - 120.5 * (S1.powu(2) + S2) / N + - 104.42 * S1 / N + + 2522.0 / N + - 3316.0 / (N + 1.0) + + 2126.0 / (N + 2.0) + + 1823.0 * E1 + - 25.22 * E2 + + 252.5 * 6.0 / (N + 1.0).powu(4); + + #[rustfmt::skip] + let qg2 = + 1112.0 / 243.0 / (N - 1.0) + - 16.0 / 9.0 * 24.0 / N.powu(5) + + 376.0 / 27.0 * 6.0 / N.powu(4) + - 90.8 * 2.0 / N.powu(3) + + 254.0 / N.powu(2) + + 20.0 / 27.0 * B3 + + 200.0 / 27.0 * (S1.powu(2) + S2) / N + + 5.496 * S1 / N + - 252.0 / N + + 158.0 / (N + 1.0) + + 145.4 / (N + 2.0) + - 139.28 / (N + 3.0) + - 53.09 * E1 + - 80.616 * E2 + - 98.07 * 2.0 / (N + 1.0).powu(3) + - 11.70 * 6.0 / (N + 1.0).powu(4); + + let result = (nf as f64) * qg1 + (nf as f64).pow(2) * qg2; + -1.0 * result +} + +/// Compute the gluon-quark singlet anomalous dimension. +/// +/// Implements Eq. (3.12) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_gq(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + let S4 = c.get(K::S4); + + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E2 = 2.0 * (-S1 / N.powu(3) + (ZETA2 - S2) / N.powu(2) - (S3 - ZETA3) / N); + let B21 = ((S1 + 1.0 / (N + 1.0)).powu(2) + S2 + 1.0 / (N + 1.0).powu(2)) / (N + 1.0); + let B3 = -(S1.powu(3) + 3.0 * S1 * S2 + 2.0 * S3) / N; + let B4 = (S1.powu(4) + 6.0 * S1.powu(2) * S2 + 8.0 * S1 * S3 + 3.0 * S2.powu(2) + 6.0 * S4) / N; + + #[rustfmt::skip] + let gq0 = + -1189.3 * 1.0 / (N - 1.0).powu(2) + + 6163.1 / (N - 1.0) + - 4288.0 / 81.0 * 24.0 / N.powu(5) + - 1568.0 / 9.0 * 6.0 / N.powu(4) + - 1794.0 * 2.0 / N.powu(3) + - 4033.0 * 1.0 / N.powu(2) + + 400.0 / 81.0 * B4 + + 2200.0 / 27.0 * B3 + + 606.3 * (S1.powu(2) + S2) / N + - 2193.0 * S1 / N + - 4307.0 / N + + 489.3 / (N + 1.0) + + 1452.0 / (N + 2.0) + + 146.0 / (N + 3.0) + - 447.3 * E2 + - 972.9 * 2.0 / (N + 1.0).powu(3); + + #[rustfmt::skip] + let gq1 = + -71.082 / (N - 1.0).powu(2) + - 46.41 / (N - 1.0) + + 128.0 / 27.0 * 24.0 / N.powu(5) + - 704. / 81.0 * 6.0 / N.powu(4) + + 20.39 * 2.0 / N.powu(3) + - 174.8 * 1.0 / N.powu(2) + - 400.0 / 81.0 * B3 + - 68.069 * (S1.powu(2) + S2) / N + + 296.7 * S1 / N + - 183.8 / N + + 33.35 / (N + 1.0) + - 277.9 / (N + 2.0) + + 108.6 * 2.0 / (N + 1.0).powu(3) + - 49.68 * E1; + + #[rustfmt::skip] + let gq2 = ( + 64.0 * (-1.0 / (N - 1.0) + 1.0 / N + 2.0 / (N + 1.0)) + + 320.0 + * ( + -(S1 - 1.0 / N) / (N - 1.0) + + S1 / N + - 0.8 * (S1 + 1.0 / (N + 1.0)) / (N + 1.0) + ) + + 96.0 + * ( + ((S1 - 1.0 / N).powu(2) + S2 - 1.0 / N.powu(2)) / (N - 1.0) + - (S1.powu(2) + S2) / N + + 0.5 * B21 + ) + ) / 27.0; + + let result = gq0 + (nf as f64) * gq1 + (nf as f64).pow(2) * gq2; + -1.0 * result +} + +/// Compute the gluon-quark singlet anomalous dimension. +/// +/// Implements Eq. (3.13) of [\[Vogt:2004mw\]][crate::bib::Vogt2004mw]. +pub fn gamma_gg(c: &mut Cache, nf: u8) -> Complex { + let N = c.n; + let S1 = c.get(K::S1); + let S2 = c.get(K::S2); + let S3 = c.get(K::S3); + + let E1 = S1 / N.powu(2) + (S2 - ZETA2) / N; + let E11 = (S1 + 1.0 / (N + 1.0)) / (N + 1.0).powu(2) + + (S2 + 1.0 / (N + 1.0).powu(2) - ZETA2) / (N + 1.0); + let E2 = 2.0 * (-S1 / N.powu(3) + (ZETA2 - S2) / N.powu(2) - (S3 - ZETA3) / N); + + #[rustfmt::skip] + let gg0 = + -2675.8 / (N - 1.0).powu(2) + + 14214.0 / (N - 1.0) + - 144.0 * 24.0 / N.powu(5) + - 72.0 * 6.0 / N.powu(4) + - 7471.0 * 2.0 / N.powu(3) + - 274.4 / N.powu(2) + - 20852.0 / N + + 3968.0 / (N + 1.0) + - 3363.0 / (N + 2.0) + + 4848.0 / (N + 3.0) + + 7305.0 * E1 + + 8757.0 * E2 + - 3589.0 * S1 / N + + 4425.894 + - 2643.521 * (S1 - 1.0 / N); + + #[rustfmt::skip] + let gg1 = + -157.27 / (N - 1.0).powu(2) + + 182.96 / (N - 1.0) + + 512.0 / 27.0 * 24.0 / N.powu(5) + - 832.0 / 9.0 * 6.0 / N.powu(4) + + 491.3 * 2.0 / N.powu(3) + - 1541.0 / N.powu(2) + - 350.2 / N + + 755.7 / (N + 1.0) + - 713.8 / (N + 2.0) + + 559.3 / (N + 3.0) + + 26.15 * E1 + - 808.7 * E2 + + 320.0 * S1 / N + - 528.723 + + 412.172 * (S1 - 1.0 / N); + + #[rustfmt::skip] + let gg2 = + -680.0 / 243.0 / (N - 1.0) + + 32.0 / 27.0 * 6.0 / N.powu(4) + + 9.680 * 2.0 / N.powu(3) + + 3.422 / N.powu(2) + - 13.878 / N + + 153.4 / (N + 1.0) + - 187.7 / (N + 2.0) + + 52.75 / (N + 3.0) + - 115.6 * E1 + + 85.25 * E11 + - 63.23 * E2 + + 6.4630 + + 16.0 / 9.0 * (S1 - 1.0 / N); + + let result = gg0 + (nf as f64) * gg1 + (nf as f64).pow(2) * gg2; + -1.0 * result +} + +/// Compute the singlet anomalous dimension matrix. +pub fn gamma_singlet(c: &mut Cache, nf: u8) -> [[Complex; 2]; 2] { + let gamma_qq = gamma_nsp(c, nf) + gamma_ps(c, nf); + [ + [gamma_qq, gamma_qg(c, nf)], + [gamma_gq(c, nf), gamma_gg(c, nf)], + ] +} + +#[cfg(test)] +mod tests { + use crate::cmplx; + use crate::{anomalous_dimensions::unpolarized::spacelike::as3::*, harmonics::cache::Cache}; + use float_cmp::assert_approx_eq; + use num::complex::Complex; + + const NF: u8 = 5; + + #[test] + fn physical_constraints() { + // number conservation + let mut c = Cache::new(cmplx![1., 0.]); + assert_approx_eq!(f64, gamma_nsv(&mut c, NF).re, -0.000960586, epsilon = 3e-7); + assert_approx_eq!(f64, gamma_nsm(&mut c, NF).re, 0.000594225, epsilon = 6e-7); + + let mut c = Cache::new(cmplx![2., 0.]); + let gS2 = gamma_singlet(&mut c, NF); + // gluon momentum conservation + assert_approx_eq!(f64, (gS2[0][1] + gS2[1][1]).re, -0.00388726, epsilon = 2e-6); + // quark momentum conservation + assert_approx_eq!(f64, (gS2[0][0] + gS2[1][0]).re, 0.00169375, epsilon = 2e-6); + } + + #[test] + fn N2() { + let mut c = Cache::new(cmplx![2., 0.]); + assert_approx_eq!(f64, gamma_nsv(&mut c, NF).re, 188.325593, epsilon = 3e-7); + } +} diff --git a/crates/ekore/src/bib.rs b/crates/ekore/src/bib.rs index c62f16d02..75da707bb 100644 --- a/crates/ekore/src/bib.rs +++ b/crates/ekore/src/bib.rs @@ -1,5 +1,6 @@ -//! List of References (autogenerated on 2023-11-29T18:07:41.518255). +//! List of References (autogenerated on 2024-05-30T12:57:15.459698). +#[allow(non_snake_case)] /// The Three loop splitting functions in QCD: The Nonsinglet case /// /// Moch, S. and Vermaseren, J. A. M. and Vogt, A. @@ -11,6 +12,7 @@ /// DOI: [10.1016/j.nuclphysb.2004.03.030](https:dx.doi.org/10.1016/j.nuclphysb.2004.03.030) pub fn Moch2004pa() {} +#[allow(non_snake_case)] /// The Three-loop splitting functions in QCD: The Singlet case /// /// Vogt, A. and Moch, S. and Vermaseren, J. A. M. @@ -22,6 +24,7 @@ pub fn Moch2004pa() {} /// DOI: [10.1016/j.nuclphysb.2004.04.024](https:dx.doi.org/10.1016/j.nuclphysb.2004.04.024) pub fn Vogt2004mw() {} +#[allow(non_snake_case)] /// Programs for computing the logarithm of the gamma function, and the digamma function, for complex argument /// /// K.S. Kölbig @@ -33,6 +36,7 @@ pub fn Vogt2004mw() {} /// DOI: [https://doi.org/10.1016/0010-4655(72)90012-4](https://doi.org/10.1016/0010-4655(72)90012-4) pub fn KOLBIG1972221() {} +#[allow(non_snake_case)] /// Multi‐precision Laplace transform inversion /// /// Abate, J. and Valkó, P. @@ -43,3 +47,27 @@ pub fn KOLBIG1972221() {} /// /// DOI: [10.1002/nme.995](https:dx.doi.org/10.1002/nme.995) pub fn Abate() {} + +#[allow(non_snake_case)] +/// Resummations of Transverse Momentum Distributions +/// +/// Muselli, Claudio +/// +/// Published as PhD thesis at Università degli studi di Milano, Dipartimento di Fisica (2017) +/// +/// +/// +/// DOI: [10.13130/muselli-claudio_phd2017-12-01](https:dx.doi.org/10.13130/muselli-claudio_phd2017-12-01) +pub fn MuselliPhD() {} + +#[allow(non_snake_case)] +/// Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS +/// +/// Vogt, A. +/// +/// Published in: Comput. Phys. Commun. 170 (2005), 65--92 +/// +/// e-Print: [hep-ph/0408244](https://arxiv.org/abs/hep-ph/0408244) +/// +/// DOI: [10.1016/j.cpc.2005.03.103](https:dx.doi.org/10.1016/j.cpc.2005.03.103) +pub fn Vogt2004ns() {} diff --git a/crates/ekore/src/constants.rs b/crates/ekore/src/constants.rs index 3cdd13a15..c824bdf5a 100644 --- a/crates/ekore/src/constants.rs +++ b/crates/ekore/src/constants.rs @@ -1,25 +1,43 @@ //! Global constants. -#[cfg_attr(doc, katexit::katexit)] /// The number of colors. /// /// Defaults to $N_C = 3$. pub const NC: u8 = 3; -#[cfg_attr(doc, katexit::katexit)] /// The normalization of fundamental generators. /// /// Defaults to $T_R = 1/2$. pub const TR: f64 = 1.0 / 2.0; -#[cfg_attr(doc, katexit::katexit)] /// Second Casimir constant in the adjoint representation. /// /// Defaults to $C_A = N_C = 3$. pub const CA: f64 = NC as f64; -#[cfg_attr(doc, katexit::katexit)] /// Second Casimir constant in the fundamental representation. /// /// Defaults to $C_F = \frac{N_C^2-1}{2N_C} = 4/3$. pub const CF: f64 = ((NC * NC - 1) as f64) / ((2 * NC) as f64); + +/// Riemann zeta function at z = 2. +/// +/// $\zeta(2) = \pi^2 / 6$. +pub const ZETA2: f64 = 1.6449340668482264; + +/// Riemann zeta function at z = 3. +pub const ZETA3: f64 = 1.2020569031595942; + +/// Riemann zeta function at z = 4. +/// +/// $\zeta(4) = \pi^4 / 90$. +pub const ZETA4: f64 = 1.082323233711138; + +/// singlet-like non-singlet PID +pub const PID_NSP: u16 = 10101; + +/// valence-like non-singlet PID +pub const PID_NSM: u16 = 10201; + +/// non-singlet all-valence PID +pub const PID_NSV: u16 = 10200; diff --git a/crates/ekore/src/harmonics.rs b/crates/ekore/src/harmonics.rs index b829060fc..a8a3b3241 100644 --- a/crates/ekore/src/harmonics.rs +++ b/crates/ekore/src/harmonics.rs @@ -1,5 +1,9 @@ //! Tools to compute harmonic sums and related special functions. pub mod cache; +pub mod g_functions; pub mod polygamma; -mod w1; +pub mod w1; +pub mod w2; +pub mod w3; +pub mod w4; diff --git a/crates/ekore/src/harmonics/cache.rs b/crates/ekore/src/harmonics/cache.rs index 6ad72171d..1342f5175 100644 --- a/crates/ekore/src/harmonics/cache.rs +++ b/crates/ekore/src/harmonics/cache.rs @@ -1,16 +1,35 @@ //! Cache harmonic sums for given Mellin N. use hashbrown::HashMap; -use num::complex::Complex; +use num::{complex::Complex, Zero}; -use crate::harmonics::w1; +use crate::harmonics::{g_functions, w1, w2, w3, w4}; -#[cfg_attr(doc, katexit::katexit)] /// List of available elements. #[derive(Debug, PartialEq, Eq, Hash)] pub enum K { /// $S_1(N)$ S1, + /// $S_2(N)$ + S2, + /// $S_3(N)$ + S3, + /// $S_4(N)$ + S4, + /// $S_1(N/2)$ + S1h, + /// $S_2(N/2)$ + S2h, + /// $S_3(N/2)$ + S3h, + /// $S_1((N-1)/2)$ + S1mh, + /// $S_2((N-1)/2)$ + S2mh, + /// $S_3((N-1)/2)$ + S3mh, + /// $g_3(N)$ + G3, } /// Hold all cached values. @@ -34,15 +53,68 @@ impl Cache { pub fn get(&mut self, k: K) -> Complex { let val = self.m.get(&k); // already there? - if val.is_some() { - return *val.unwrap(); + if let Some(value) = val { + return *value; } // compute new let val = match k { K::S1 => w1::S1(self.n), + K::S2 => w2::S2(self.n), + K::S3 => w3::S3(self.n), + K::S4 => w4::S4(self.n), + K::S1h => w1::S1(self.n / 2.), + K::S2h => w2::S2(self.n / 2.), + K::S3h => w3::S3(self.n / 2.), + K::S1mh => w1::S1((self.n - 1.) / 2.), + K::S2mh => w2::S2((self.n - 1.) / 2.), + K::S3mh => w3::S3((self.n - 1.) / 2.), + K::G3 => g_functions::g3(self.n, self.get(K::S1)), }; // insert self.m.insert(k, val); val } } + +/// Recursive computation of harmonic sums. +/// +/// Compute the harmonic sum $S_{w}(N+k)$ stating from the value $S_{w}(N)$ via the recurrence relations. +pub fn recursive_harmonic_sum( + base_value: Complex, + n: Complex, + iterations: usize, + weight: u32, +) -> Complex { + let mut fact = Complex::zero(); + for i in 1..iterations + 1 { + fact += (1.0 / (n + (i as f64))).powu(weight); + } + base_value + fact +} + +#[cfg(test)] +mod tests { + use crate::harmonics::cache::recursive_harmonic_sum; + use crate::harmonics::{w1, w2, w3, w4}; + use crate::{assert_approx_eq_cmplx, cmplx}; + use num::complex::Complex; + + #[test] + fn test_recursive_harmonic_sum() { + const SX: [fn(Complex) -> Complex; 4] = [w1::S1, w2::S2, w3::S3, w4::S4]; + const NS: [Complex; 2] = [cmplx![1.0, 0.0], cmplx![2.34, 3.45]]; + const ITERS: [usize; 2] = [1, 2]; + for sit in SX.iter().enumerate() { + for nit in NS.iter().enumerate() { + let n = *nit.1; + for iit in ITERS.iter().enumerate() { + let iterations = *iit.1; + let s_base = sit.1(n); + let s_test = sit.1(n + (iterations as f64)); + let s_ref = recursive_harmonic_sum(s_base, n, iterations, 1 + (sit.0 as u32)); + assert_approx_eq_cmplx!(f64, s_test, s_ref); + } + } + } + } +} diff --git a/crates/ekore/src/harmonics/g_functions.rs b/crates/ekore/src/harmonics/g_functions.rs new file mode 100644 index 000000000..cfde9e9ea --- /dev/null +++ b/crates/ekore/src/harmonics/g_functions.rs @@ -0,0 +1,50 @@ +//! Auxilary functions for harmonics sums of weight = 3,4. + +use crate::constants::ZETA2; +use crate::harmonics::cache::recursive_harmonic_sum as s; +use num::{complex::Complex, Zero}; + +/// Compute the Mellin transform of $\text{Li}_2(x)/(1+x)$. +/// +/// This function appears in the analytic continuation of the harmonic sum +/// $S_{-2,1}(N)$ which in turn appears in the NLO anomalous dimension. +/// +/// We use the name from [\[MuselliPhD\]](crate::bib::MuselliPhD), but not his implementation - rather we use the +/// Pegasus [\[Vogt:2004ns\]](crate::bib::Vogt2004ns) implementation. +pub fn g3(N: Complex, S1: Complex) -> Complex { + const CS: [f64; 7] = [ + 1.0000e0, -0.9992e0, 0.9851e0, -0.9005e0, 0.6621e0, -0.3174e0, 0.0699e0, + ]; + let mut g3 = Complex::zero(); + for cit in CS.iter().enumerate() { + let Nj = N + (cit.0 as f64); + g3 += (*cit.1) * (ZETA2 - s(S1, N, cit.0, 1) / Nj) / Nj; + } + g3 +} + +#[cfg(test)] +mod tests { + use crate::harmonics::g_functions::g3; + use crate::harmonics::w1; + use crate::{assert_approx_eq_cmplx, cmplx}; + use num::complex::Complex; + + #[test] + fn test_mellin_g3() { + const NS: [Complex; 3] = [cmplx![1.0, 0.0], cmplx![2.0, 0.0], cmplx![1.0, 1.0]]; + // NIntegrate[x^({1, 2, 1 + I} - 1) PolyLog[2, x]/(1 + x), {x, 0, 1}] + const REFVALS: [Complex; 3] = [ + cmplx![0.3888958462, 0.], + cmplx![0.2560382207, 0.], + cmplx![0.3049381491, -0.1589060625], + ]; + for it in NS.iter().enumerate() { + let n = *it.1; + let s1 = w1::S1(n); + let refval = REFVALS[it.0]; + let g3 = g3(n, s1); + assert_approx_eq_cmplx![f64, g3, refval, epsilon = 1e-6]; + } + } +} diff --git a/crates/ekore/src/harmonics/polygamma.rs b/crates/ekore/src/harmonics/polygamma.rs index efbdae147..7415db88e 100644 --- a/crates/ekore/src/harmonics/polygamma.rs +++ b/crates/ekore/src/harmonics/polygamma.rs @@ -3,10 +3,11 @@ use num::{complex::Complex, Zero}; use std::f64::consts::PI; -#[cfg_attr(doc, katexit::katexit)] +#[allow(clippy::excessive_precision, clippy::assign_op_pattern)] /// Compute the polygamma functions $\psi_k(z)$. /// -/// Reimplementation of ``WPSIPG`` (C317) in [CERNlib](http://cernlib.web.cern.ch/cernlib/) given by [[KOLBIG1972221]][crate::bib::KOLBIG1972221]. +/// Reimplementation of ``WPSIPG`` (C317) in [CERNlib](http://cernlib.web.cern.ch/cernlib/) +/// given by [\[KOLBIG1972221\]](crate::bib::KOLBIG1972221). /// /// TODO: introduce back errors pub fn cern_polygamma(Z: Complex, K: usize) -> Complex { @@ -83,9 +84,7 @@ pub fn cern_polygamma(Z: Complex, K: usize) -> Complex { } let mut R = 1. / V.powu(2); let mut P = R * C[K][6 - 1]; - for i in (1..=5).rev() - // (int i = 5; i>1-1; i--) - { + for i in (1..=5).rev() { P = R * (C[K][i - 1] + P); } H = (SGN[K] as f64) @@ -121,9 +120,8 @@ pub fn cern_polygamma(Z: Complex, K: usize) -> Complex { #[cfg(test)] mod tests { - use crate::cmplx; use crate::harmonics::polygamma::cern_polygamma; - use float_cmp::assert_approx_eq; + use crate::{assert_approx_eq_cmplx, cmplx}; use num::complex::Complex; #[test] @@ -202,8 +200,7 @@ mod tests { for zit in ZS.iter().enumerate() { let fref = FORTRAN_REF[kit.0][zit.0]; let me = cern_polygamma(*zit.1, *kit.1); - assert_approx_eq!(f64, me.re, fref.re, ulps = 32); - assert_approx_eq!(f64, me.im, fref.im, ulps = 32); + assert_approx_eq_cmplx!(f64, me, fref, ulps = 32); } } } diff --git a/crates/ekore/src/harmonics/w1.rs b/crates/ekore/src/harmonics/w1.rs index 2b861cb30..a1aa893d9 100644 --- a/crates/ekore/src/harmonics/w1.rs +++ b/crates/ekore/src/harmonics/w1.rs @@ -1,3 +1,4 @@ +//! Harmonic sums of weight 1. use num::complex::Complex; use crate::harmonics::polygamma::cern_polygamma; @@ -7,5 +8,5 @@ use crate::harmonics::polygamma::cern_polygamma; /// $$S_1(N) = \sum\limits_{j=1}^N \frac 1 j = \psi_0(N+1)+\gamma_E$$ /// with $\psi_0(N)$ the digamma function and $\gamma_E$ the Euler-Mascheroni constant. pub fn S1(N: Complex) -> Complex { - cern_polygamma(N + 1.0, 0) + 0.5772156649015328606065120 + cern_polygamma(N + 1.0, 0) + 0.577_215_664_901_532_9 } diff --git a/crates/ekore/src/harmonics/w2.rs b/crates/ekore/src/harmonics/w2.rs new file mode 100644 index 000000000..d55a32679 --- /dev/null +++ b/crates/ekore/src/harmonics/w2.rs @@ -0,0 +1,13 @@ +//! Harmonic sums of weight 2. +use num::complex::Complex; + +use crate::constants::ZETA2; +use crate::harmonics::polygamma::cern_polygamma; + +/// Compute the harmonic sum $S_2(N)$. +/// +/// $$S_2(N) = \sum\limits_{j=1}^N \frac 1 {j^2} = -\psi_1(N+1)+\zeta(2)$$ +/// with $\psi_1(N)$ the trigamma function and $\zeta$ the Riemann zeta function. +pub fn S2(N: Complex) -> Complex { + -cern_polygamma(N + 1.0, 1) + ZETA2 +} diff --git a/crates/ekore/src/harmonics/w3.rs b/crates/ekore/src/harmonics/w3.rs new file mode 100644 index 000000000..7850c678d --- /dev/null +++ b/crates/ekore/src/harmonics/w3.rs @@ -0,0 +1,13 @@ +//! Harmonic sums of weight 3. +use num::complex::Complex; + +use crate::constants::ZETA3; +use crate::harmonics::polygamma::cern_polygamma; + +/// Compute the harmonic sum $S_3(N)$. +/// +/// $$S_3(N) = \sum\limits_{j=1}^N \frac 1 {j^3} = \frac 1 2 \psi_2(N+1)+\zeta(3)$$ +/// with $\psi_2(N)$ the 2nd polygamma function and $\zeta$ the Riemann zeta function. +pub fn S3(N: Complex) -> Complex { + 0.5 * cern_polygamma(N + 1.0, 2) + ZETA3 +} diff --git a/crates/ekore/src/harmonics/w4.rs b/crates/ekore/src/harmonics/w4.rs new file mode 100644 index 000000000..66835ac5f --- /dev/null +++ b/crates/ekore/src/harmonics/w4.rs @@ -0,0 +1,13 @@ +//! Harmonic sums of weight 4. +use num::complex::Complex; + +use crate::constants::ZETA4; +use crate::harmonics::polygamma::cern_polygamma; + +/// Compute the harmonic sum $S_4(N)$. +/// +/// $$S_4(N) = \sum\limits_{j=1}^N \frac 1 {j^4} = - \frac 1 6 \psi_3(N+1)+\zeta(4)$$ +/// with $\psi_3(N)$ the 3rd polygamma function and $\zeta$ the Riemann zeta function. +pub fn S4(N: Complex) -> Complex { + ZETA4 - 1.0 / 6.0 * cern_polygamma(N + 1.0, 3) +} diff --git a/crates/ekore/src/util.rs b/crates/ekore/src/util.rs index 5c4e34f4d..55b1ab2bd 100644 --- a/crates/ekore/src/util.rs +++ b/crates/ekore/src/util.rs @@ -7,3 +7,23 @@ macro_rules! cmplx { Complex::new($re, $im) }; } + +/// Shorthand complex number contructor. +#[macro_export] +macro_rules! assert_approx_eq_cmplx { + ($size:ty, $ref:expr, $target:expr) => { + use float_cmp::assert_approx_eq; + assert_approx_eq!($size, $ref.re, $target.re); + assert_approx_eq!($size, $ref.im, $target.im); + }; + ($size:ty, $ref:expr, $target:expr, ulps=$ulps:expr) => { + use float_cmp::assert_approx_eq; + assert_approx_eq!($size, $ref.re, $target.re, ulps = $ulps); + assert_approx_eq!($size, $ref.im, $target.im, ulps = $ulps); + }; + ($size:ty, $ref:expr, $target:expr, epsilon=$epsilon:expr) => { + use float_cmp::assert_approx_eq; + assert_approx_eq!($size, $ref.re, $target.re, epsilon = $epsilon); + assert_approx_eq!($size, $ref.im, $target.im, epsilon = $epsilon); + }; +} diff --git a/crates/make_bib.py b/crates/make_bib.py index 1b15d663d..e758c41ad 100644 --- a/crates/make_bib.py +++ b/crates/make_bib.py @@ -1,4 +1,5 @@ """Parse bibtex file to rust crate.""" + import datetime import pathlib import re @@ -9,7 +10,8 @@ BIBFILE = pathlib.Path(__file__).parent / "ekore" / "refs.bib" # A single entry -ENTRY = """/// {title} +ENTRY = """#[allow(non_snake_case)] +/// {title} /// /// {author} /// @@ -20,6 +22,7 @@ /// {doi}""" # Combine publication information PUB = """Published in: {journal} {volume} ({year}), {pages}""" +PHD = """Published as PhD thesis at {school} ({year})""" def clean_nl(t: str) -> str: @@ -38,12 +41,18 @@ def clean_nl(t: str) -> str: for el in bib_database.entries: title = re.sub(r"^\{(.+)\}$", r"\1", clean_nl(el.fields_dict["title"].value)) author = el.fields_dict["author"].value - publication = PUB.format( - journal=el.fields_dict["journal"].value, - volume=el.fields_dict["volume"].value, - year=el.fields_dict["year"].value, - pages=el.fields_dict["pages"].value, - ) + if el.entry_type == "phdthesis": + publication = PHD.format( + school=el.fields_dict["school"].value, + year=el.fields_dict["year"].value, + ) + else: + publication = PUB.format( + journal=el.fields_dict["journal"].value, + volume=el.fields_dict["volume"].value, + year=el.fields_dict["year"].value, + pages=el.fields_dict["pages"].value, + ) eprint = "" if ( "eprint" in el.fields_dict diff --git a/crates/parse-abbrev.py b/crates/parse-abbrev.py new file mode 100644 index 000000000..b928ed03c --- /dev/null +++ b/crates/parse-abbrev.py @@ -0,0 +1,20 @@ +"""Parse abbreviations from sphinx to Rust.""" + +import pathlib +import re + +SRC = ( + pathlib.Path(__file__).parents[1] + / "doc" + / "source" + / "shared" + / "abbreviations.rst" +) + +cnt = SRC.read_text("utf-8") +for el in cnt.split(".."): + test = re.match(r"\s*(.+)\s+replace::\n\s+:abbr:`(.+?)\((.+)\)`", el.strip()) + if test is None: + continue + # Print to terminal - the user can dump to the relevant file + print(f'"{test[2].strip()}": "{test[3].strip()}",') diff --git a/crates/release.json b/crates/release.json new file mode 100644 index 000000000..c2b9f6f54 --- /dev/null +++ b/crates/release.json @@ -0,0 +1 @@ +["ekore", "eko"] diff --git a/doc/source/code/genpdf.rst b/doc/source/code/genpdf.rst index f9d52bd47..ab3f94673 100644 --- a/doc/source/code/genpdf.rst +++ b/doc/source/code/genpdf.rst @@ -3,40 +3,46 @@ genpdf We provide also a console script called ``genpdf`` that is able to generate and install a custom |PDF| set in the `lhapdf` format. -In particular, the command ``genpdf install [NAME]`` simply -install the |PDF| called ``[NAME]`` in the lhapdf folder and -the ``genpdf generate [NAME]`` command generates the custom |PDF| + +To use it, you have to install the additional `ekobox` dependencies via +the pip extra `box`: + +.. code-block:: bash + + $ pip install eko[box] + +The ``genpdf generate [NAME]`` command generates a custom |PDF| and saves it as ``[NAME]`` in the current directory. -Notice that the argument ``[NAME]`` is the only mandatory one. +Afterwards, it can be conveniently installed using the ``genpdf install [NAME]`` command +(which simply copies the generated folder into the LHAPDF folder). +Note that the argument ``[NAME]`` is the only mandatory one. -The custom |PDF| can be generated in three different ways which -are accessible trough the option ``-p [PARENT]`` (the complete spelling -is ``genpdf generate [NAME] -p [PARENT]``): +A custom |PDF| can be generated in three different ways which +are accessible trough the option ``-p [PARENT]``: 1. If ``[PARENT]`` is the name of an available |PDF|, it is used as parent - |PDF| and thus copied to generate the new custom PDF. - 2. If ``[PARENT]`` is "toylh" or "toy", the **toy** |PDF| is used as parent. + |PDF| and thus copied to generate the new custom PDF. + 2. If ``[PARENT]`` is "toylh" or "toy", the **toy** |PDF| :cite:`Giele:2002hx,Dittmar:2005ed` is used as parent. 3. If the option ``-p [PARENT]`` is not used, the |PDF| is - generated using **x(1-x)** for all the flavors. + generated using **x(1-x)** for all the flavors. -Trough the use of the argument -``[LABEL]`` (``genpdf generate [NAME] [LABEL] [OPTIONS]``) it is also possible +Through the use of the argument +``[LABEL]`` (``genpdf generate [NAME] [LABEL] [OPTIONS]``) it is possible to specify a set of flavors (expressed in |pid| basis) or a set of -**evolution basis components** on which filtering the custom |PDF|. -In this way the specified set is kept in the final |PDF|, while the rest -is discarded. +evolution basis components on which to filter the new |PDF|. +In this way the specified set is kept in the new |PDF|, while the rest +is discarded, i.e. set to zero. In the case of custom |PDF| generated starting from a parent |PDF|, it is possible to generate all the members trough the flag ``-m``. If this flag is not used, only the *zero* member is generated (together with the *info* -file of course). Using the flag ``-m`` when the custom |PDF| is generated -either using the **toy** |PDF| or the **x(1-x)** function, has no effects. +file of course). Using the flag ``-m`` when a custom |PDF| is generated +either using the **toy** |PDF| or the **x(1-x)** function has no effects. In order to automatically install the custom |PDF| in the lhapdf folder at generation time (so without using ``genpdf install [NAME]`` after the generation), it is possible to use the ``-i`` flag. - We also provide an API with some additional features and possibilities such as generating a |PDF| with a custom function for every |pid| (through a ``dict`` structure) and filtering custom combination of @@ -49,7 +55,7 @@ Examples $ genpdf generate gonly 21 -This will generate the custom PDF using the debug x(1-x) PDF as parent +This will generate a custom PDF using the debug x(1-x) PDF as parent and then it will keep only the gluon. .. code-block:: bash @@ -62,7 +68,7 @@ This will install the previous PDF in the lhapdf folder. $ genpdf generate Sonly S -p toy -i -This will generate the custom PDF using the toy PDF as parent and then +This will generate a custom PDF using the toy PDF as parent and then it will keep only the singlet combination. The generated PDF is also automatically installed in the lhapdf folder. @@ -70,6 +76,14 @@ automatically installed in the lhapdf folder. $ genpdf generate Vonly V -p CT10 -m -This will generate the custom PDF using the CT10 PDF set as parent +This will generate a custom PDF using the CT10 PDF set as parent (if available) and it will keep only the valence combination. Moreover it will generate all the members of the parent PDF. + +.. code-block:: bash + + $ genpdf generate NN40qqbar -p NNPDF40_nnlo_as_01180 -- -5 -4 -3 -2 -1 1 2 3 4 5 + +This will generate a custom PDF with no gluon contributions, but all quarks +taken are from NNPDF4.0. Note that (as customary with CLIs) you have to add the explicit +separator ``--`` before specifying anti-quark flavors. diff --git a/doc/source/conf.py b/doc/source/conf.py index c271bd870..1f03599ac 100644 --- a/doc/source/conf.py +++ b/doc/source/conf.py @@ -27,7 +27,7 @@ # -- Project information ----------------------------------------------------- project = "EKO" -copyright = "2019-2023, the NNPDF team" # pylint: disable=redefined-builtin +copyright = "2019-2024, the NNPDF team" # pylint: disable=redefined-builtin author = "NNPDF team" # The short X.Y version @@ -112,10 +112,10 @@ ) extlinks = { - "yadism": ("https://n3pdf.github.io/yadism/%s", "yadism"), - "banana": ("https://n3pdf.github.io/banana/%s", "banana"), - "pineappl": ("https://n3pdf.github.io/pineappl/%s", "pineappl"), - "pineko": ("https://github.com/N3PDF/pineko/%s", "pineko"), + "yadism": ("https://n3pdf.github.io/yadism/%s", "yadism%s"), + "banana": ("https://n3pdf.github.io/banana/%s", "banana%s"), + "pineappl": ("https://n3pdf.github.io/pineappl/%s", "pineappl%s"), + "pineko": ("https://github.com/N3PDF/pineko/%s", "pineko%s"), } # -- Options for HTML output ------------------------------------------------- diff --git a/doc/source/overview/tutorials/alpha_s.ipynb b/doc/source/overview/tutorials/alpha_s.ipynb index a9d75c0ca..f9cc5a240 100644 --- a/doc/source/overview/tutorials/alpha_s.ipynb +++ b/doc/source/overview/tutorials/alpha_s.ipynb @@ -39,12 +39,10 @@ "from eko.quantities.heavy_quarks import MatchingScales, QuarkMassScheme\n", "\n", "# set the (alpha_s, alpha_em) reference values\n", - "couplings_ref = CouplingsInfo(\n", - " alphas=0.118, alphaem=0.007496252, scale=91.0, num_flavs_ref=None, max_num_flavs=5\n", - ")\n", + "couplings_ref = CouplingsInfo(alphas=0.118, alphaem=0.007496252, ref=(91.0, 5))\n", "\n", "# set heavy quark masses and their threshold ratios\n", - "heavy_quark_masses = np.power([1.51, 4.92, 172.0],2)\n", + "heavy_quark_masses = np.power([1.51, 4.92, 172.0], 2)\n", "thresholds_ratios = np.array([1.0, 1.0, 1.0])\n", "\n", "# set (QCD,QED) perturbative order\n", @@ -88,9 +86,9 @@ } ], "source": [ - "target_scale = 10.0 ** 2\n", + "target_scale = 10.0**2\n", "a_s = sc.a_s(target_scale)\n", - "print(\"The value of alpha_s at Q^2=100 GeV^2 is: \", 4. * np.pi * a_s)" + "print(\"The value of alpha_s at Q^2=100 GeV^2 is: \", 4.0 * np.pi * a_s)" ] }, { @@ -105,13 +103,10 @@ } ], "metadata": { - "interpreter": { - "hash": "0a84ba3ac8703c04e87bc503a7d00188dfd591ad56130da93c406115a1e4a408" - }, "kernelspec": { - "display_name": "eko-KkPVjVhh-py3.10", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "eko-kkpvjvhh-py3.10" + "name": "python3" }, "language_info": { "codemirror_mode": { diff --git a/doc/source/overview/tutorials/dglap.ipynb b/doc/source/overview/tutorials/dglap.ipynb index 0e271a00c..98cb4a6e1 100644 --- a/doc/source/overview/tutorials/dglap.ipynb +++ b/doc/source/overview/tutorials/dglap.ipynb @@ -68,7 +68,7 @@ "th_card = example.theory()\n", "op_card = example.operator()\n", "# here we replace the grid with a very minimal one, to speed up the example\n", - "op_card.xgrid = [1e-3, 1e-2, 1e-1, 5e-1, 1.]" + "op_card.xgrid = [1e-3, 1e-2, 1e-1, 5e-1, 1.0]" ] }, { @@ -91,14 +91,9 @@ "{'order': [1, 0],\n", " 'couplings': {'alphas': 0.118,\n", " 'alphaem': 0.007496252,\n", - " 'scale': 91.2,\n", - " 'max_num_flavs': 6,\n", - " 'num_flavs_ref': 5,\n", + " 'ref': [91.2, 5],\n", " 'em_running': False},\n", - " 'heavy': {'num_flavs_init': 4,\n", - " 'num_flavs_max_pdf': 6,\n", - " 'intrinsic_flavors': [4],\n", - " 'masses': [[2.0, nan], [4.5, nan], [173.07, nan]],\n", + " 'heavy': {'masses': [[2.0, nan], [4.5, nan], [173.07, nan]],\n", " 'masses_scheme': 'pole',\n", " 'matching_ratios': [1.0, 1.0, 1.0]},\n", " 'xif': 1.0,\n", @@ -123,7 +118,7 @@ { "data": { "text/plain": [ - "{'mu0': 1.65,\n", + "{'init': [1.65, 4],\n", " 'mugrid': [[100.0, 5]],\n", " 'xgrid': [0.001, 0.01, 0.1, 0.5, 1.0],\n", " 'configs': {'evolution_method': 'iterate-exact',\n", @@ -174,7 +169,7 @@ "id": "880aadcf-8f87-4918-a0bc-09581d0d3579", "metadata": {}, "source": [ - "The actual result is a complicate EKO object, we will discuss it in a separate tutorial.\n", + "The actual result is a complicate EKO object, which we will discuss it in a separate tutorial.\n", "\n", "You have just run your first DGLAP calculation!" ] diff --git a/doc/source/overview/tutorials/output.ipynb b/doc/source/overview/tutorials/output.ipynb index 47345ac35..1cfe9f071 100644 --- a/doc/source/overview/tutorials/output.ipynb +++ b/doc/source/overview/tutorials/output.ipynb @@ -34,7 +34,7 @@ "id": "2f8f0666-c6ab-40f6-86f5-15773f205b51", "metadata": {}, "source": [ - "We can access the operator, by using the `open` method (similar to python's `open`):" + "We can access the operator, by using the `read` method:" ] }, { @@ -76,8 +76,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "TheoryCard(order=(1, 0), couplings=CouplingsInfo(alphas=0.118, alphaem=0.007496252, scale=91.2, max_num_flavs=6, num_flavs_ref=5, em_running=False), heavy=HeavyInfo(num_flavs_init=4, num_flavs_max_pdf=6, intrinsic_flavors=[4, 5, 6], masses=[[2.0, nan], [4.5, nan], [173.07, nan]], masses_scheme=, matching_ratios=[1.0, 1.0, 1.0]), xif=1.0, n3lo_ad_variation=(0, 0, 0, 0))\n", - "OperatorCard(mu0=1.65, mugrid=[(100.0, 5)], xgrid=, configs=Configs(evolution_method=, ev_op_max_order=(10, 0), ev_op_iterations=10, scvar_method=None, inversion_method=None, interpolation_polynomial_degree=4, interpolation_is_log=True, polarized=False, time_like=False, n_integration_cores=0), debug=Debug(skip_singlet=False, skip_non_singlet=False), eko_version='0.0.0')\n" + "TheoryCard(order=(1, 0), couplings=CouplingsInfo(alphas=0.118, alphaem=0.007496252, ref=(91.2, 5), em_running=False), heavy=HeavyInfo(masses=[[2.0, nan], [4.5, nan], [173.07, nan]], masses_scheme=, matching_ratios=[1.0, 1.0, 1.0]), xif=1.0, n3lo_ad_variation=(0, 0, 0, 0))\n", + "OperatorCard(init=(1.65, 4), mugrid=[(100.0, 5)], xgrid=, configs=Configs(evolution_method=, ev_op_max_order=(10, 0), ev_op_iterations=10, scvar_method=None, inversion_method=None, interpolation_polynomial_degree=4, interpolation_is_log=True, polarized=False, time_like=False, n_integration_cores=0), debug=Debug(skip_singlet=False, skip_non_singlet=False), eko_version='0.0.0')\n" ] } ], @@ -143,7 +143,7 @@ ], "source": [ "with eko.EKO.read(\"./myeko.tar\") as evolution_operator:\n", - " with evolution_operator.operator((10000.,5)) as op:\n", + " with evolution_operator.operator((10000.0, 5)) as op:\n", " print(f\"operator: {op.operator.shape}\")\n", " print(f\"error: {op.error.shape}\")" ] diff --git a/doc/source/overview/tutorials/pdf.ipynb b/doc/source/overview/tutorials/pdf.ipynb index 4607ef891..bfc6ad3ad 100644 --- a/doc/source/overview/tutorials/pdf.ipynb +++ b/doc/source/overview/tutorials/pdf.ipynb @@ -13,9 +13,9 @@ "id": "3e0dcd0f", "metadata": {}, "source": [ - "## Method 1: Using apply_pdf\n", + "## Method 1: Using `apply_pdf`\n", "\n", - "In this first part we will compute the eko and subsequently apply the initial PDF \"manually\" calling a dedicated function. " + "In this first part, we compute the eko and subsequently apply the initial PDF \"manually\" calling a dedicated function. " ] }, { @@ -52,6 +52,7 @@ "import pathlib\n", "import eko\n", "from banana import toy\n", + "\n", "pdf = toy.mkPDF(\"\", 0)" ] }, @@ -71,6 +72,7 @@ "outputs": [], "source": [ "from ekobox.apply import apply_pdf\n", + "\n", "with eko.EKO.read(\"./myeko.tar\") as evolution_operator:\n", " evolved_pdfs = apply_pdf(evolution_operator, pdf)" ] @@ -92,7 +94,7 @@ { "data": { "text/plain": [ - "dict_keys([10000.0])" + "dict_keys([(10000.0, 5)])" ] }, "execution_count": 3, @@ -134,7 +136,7 @@ } ], "source": [ - "evolved_pdfs[10000.0][\"pdfs\"][21]" + "evolved_pdfs[(10000.0, 5)][\"pdfs\"][21]" ] }, { @@ -150,7 +152,7 @@ "id": "e925d2c9", "metadata": {}, "source": [ - "## Method 2: Using evolve_pdfs\n", + "## Method 2: Using `evolve_pdfs`\n", "\n", "In this second part we illustrate how to get (and install) directly a LHAPDF set evolved with eko. " ] @@ -171,6 +173,7 @@ "outputs": [], "source": [ "from banana import toy\n", + "\n", "pdf = toy.mkPDF(\"\", 0)" ] }, @@ -195,10 +198,10 @@ "th_card = example.theory()\n", "op_card = example.operator()\n", "# here we replace the grid with a very minimal one, to speed up the example\n", - "op_card.xgrid = eko.interpolation.XGrid([1e-3, 1e-2, 1e-1, 5e-1, 1.])\n", - "op_card.mugrid = [(10.,5), (100.,5)]\n", + "op_card.xgrid = eko.interpolation.XGrid([1e-3, 1e-2, 1e-1, 5e-1, 1.0])\n", + "op_card.mugrid = [(10.0, 5), (100.0, 5)]\n", "# set QCD LO evolution\n", - "th_card.orders = (1,0)" + "th_card.orders = (1, 0)" ] }, { @@ -236,16 +239,10 @@ ], "source": [ "from ekobox.evol_pdf import evolve_pdfs\n", + "\n", "path = pathlib.Path(\"./myeko2.tar\")\n", "path.unlink(missing_ok=True)\n", - "evolve_pdfs(\n", - " [pdf],\n", - " th_card,\n", - " op_card,\n", - " install=True,\n", - " name=\"Evolved_PDF\",\n", - " store_path=path\n", - ")" + "evolve_pdfs([pdf], th_card, op_card, install=True, name=\"Evolved_PDF\", store_path=path)" ] }, { @@ -273,6 +270,7 @@ ], "source": [ "import lhapdf\n", + "\n", "evolved_pdf = lhapdf.mkPDF(\"Evolved_PDF\", 0)" ] }, @@ -300,12 +298,12 @@ } ], "source": [ - "pid = 21 # gluon pid\n", - "Q2 = 89.10 # Q^2 in Gev^2\n", - "x = 0.01 # momentum fraction \n", + "pid = 21 # gluon pid\n", + "Q2 = 89.10 # Q^2 in Gev^2\n", + "x = 0.01 # momentum fraction\n", "\n", "# check that the particle is present\n", - "print(\"has gluon?\",evolved_pdf.hasFlavor(pid))\n", + "print(\"has gluon?\", evolved_pdf.hasFlavor(pid))\n", "# now do the lookup\n", "xg = evolved_pdf.xfxQ2(pid, x, Q2)\n", "print(f\"xg(x={x}, Q2={Q2}) = {xg}\")" @@ -352,28 +350,28 @@ "import lhapdf\n", "from ekobox.cards import example\n", "from eko.interpolation import make_grid\n", - "from eko.quantities.heavy_quarks import QuarkMassRef,HeavyQuarks\n", + "from eko.quantities.heavy_quarks import QuarkMassRef, HeavyQuarks\n", "\n", "# get the PDF object\n", "ct14llo = lhapdf.mkPDF(\"CT14llo\")\n", "\n", "# setup the operator card\n", "op_card = example.operator()\n", - "op_card.xgrid = eko.interpolation.XGrid(make_grid(30, 30)) # x grid\n", - "op_card.mugrid = [(float(q),5) for q in np.geomspace(5., 100, 5)] # Q2 grid\n", - "op_card.mu0 = 1.295000 # starting point for the evolution \n", + "op_card.xgrid = eko.interpolation.XGrid(make_grid(30, 30)) # x grid\n", + "op_card.mugrid = [(float(q), 5) for q in np.geomspace(5.0, 100, 5)] # Q2 grid\n", + "op_card.init = (1.295000, 3) # starting point for the evolution\n", "\n", "# setup the theory card - this can be mostly inferred from the PDF's .info file\n", - "\n", "th_card = example.theory()\n", - "th_card.orders = (1,0) # QCD LO\n", - "th_card.heavy.masses = HeavyQuarks([QuarkMassRef([1.3,nan]), QuarkMassRef([4.75,nan]), QuarkMassRef([172.,nan])]) # quark mass\n", - "th_card.couplings.alphas = 0.130000 # reference value of alpha_s\n", - "th_card.couplings.scale = 91.1876 # the reference scale at which alpha_s is provided\n", - "th_card.couplings.num_flavs_ref = 5 # the number of flavors active at the alpha_s reference scale\n", - "th_card.couplings.max_num_flavs = 5 # the maximum number of flavors active in the alpha_s evolution\n", - "th_card.couplings.num_flavs_init = 3 # the number of flavors active at the reference scale\n", - "th_card.num_flavs_max_pdf = 5 # the maximum number of flavors active in the pdf evolution." + "th_card.orders = (1, 0) # QCD LO\n", + "th_card.heavy.masses = HeavyQuarks(\n", + " [QuarkMassRef([1.3, nan]), QuarkMassRef([4.75, nan]), QuarkMassRef([172.0, nan])]\n", + ") # quark mass\n", + "th_card.couplings.alphas = 0.130000 # reference value of alpha_s\n", + "th_card.couplings.ref = (\n", + " 91.1876,\n", + " 5,\n", + ") # the reference scale together with the number of flavors at which alpha_s is provided" ] }, { @@ -407,15 +405,11 @@ ], "source": [ "from ekobox.evol_pdf import evolve_pdfs\n", + "\n", "path = pathlib.Path(\"./myeko_ct14llo.tar\")\n", "path.unlink(missing_ok=True)\n", "evolve_pdfs(\n", - " [ct14llo],\n", - " th_card,\n", - " op_card,\n", - " install=True,\n", - " name=\"my_ct14llo\",\n", - " store_path=path\n", + " [ct14llo], th_card, op_card, install=True, name=\"my_ct14llo\", store_path=path\n", ")" ] }, @@ -439,33 +433,33 @@ "output_type": "stream", "text": [ "LHAPDF 6.4.0 loading /home/felix/local/share/LHAPDF/my_ct14llo/my_ct14llo_0000.dat\n", + "my_ct14llo PDF set, member #0, version 1\n", " x Q2 ct14llo my_ct14llo relative_diff\n", - "0 0.000010 25.000000 7.635785e+01 7.630461e+01 0.000697\n", - "1 0.000173 25.000000 3.194273e+01 3.192092e+01 0.000683\n", - "2 0.003000 25.000000 1.081843e+01 1.081086e+01 0.000701\n", - "3 0.051962 25.000000 1.958956e+00 1.958632e+00 0.000166\n", - "4 0.900000 25.000000 1.922415e-05 1.955026e-05 -0.016963\n", - "5 0.000010 111.803399 1.333957e+02 1.332985e+02 0.000729\n", - "6 0.000173 111.803399 4.777286e+01 4.773664e+01 0.000758\n", - "7 0.003000 111.803399 1.341028e+01 1.339967e+01 0.000791\n", - "8 0.051962 111.803399 1.978216e+00 1.978130e+00 0.000044\n", - "9 0.900000 111.803399 6.644805e-06 6.753652e-06 -0.016381\n", - "10 0.000010 500.000000 1.967032e+02 1.965456e+02 0.000801\n", - "11 0.000173 500.000000 6.291393e+01 6.286095e+01 0.000842\n", - "12 0.003000 500.000000 1.542347e+01 1.540996e+01 0.000876\n", - "13 0.051962 500.000000 1.947465e+00 1.947391e+00 0.000038\n", - "14 0.900000 500.000000 2.929060e-06 2.977306e-06 -0.016471\n", - "15 0.000010 2236.067977 2.633266e+02 2.631109e+02 0.000819\n", - "16 0.000173 2236.067977 7.708540e+01 7.701938e+01 0.000856\n", - "17 0.003000 2236.067977 1.700410e+01 1.698928e+01 0.000872\n", - "18 0.051962 2236.067977 1.893923e+00 1.893971e+00 -0.000025\n", - "19 0.900000 2236.067977 1.544450e-06 1.570997e-06 -0.017189\n", - "20 0.000010 10000.000000 3.314097e+02 3.311351e+02 0.000829\n", - "21 0.000173 10000.000000 9.023010e+01 9.015279e+01 0.000857\n", - "22 0.003000 10000.000000 1.825934e+01 1.824402e+01 0.000839\n", - "23 0.051962 10000.000000 1.830992e+00 1.831183e+00 -0.000104\n", - "24 0.900000 10000.000000 9.288458e-07 9.447927e-07 -0.017169\n", - "my_ct14llo PDF set, member #0, version 1\n" + "0 0.000010 25.000000 7.635785e+01 7.630719e+01 0.000663\n", + "1 0.000173 25.000000 3.194273e+01 3.192239e+01 0.000637\n", + "2 0.003000 25.000000 1.081843e+01 1.081160e+01 0.000632\n", + "3 0.051962 25.000000 1.958956e+00 1.958820e+00 0.000069\n", + "4 0.900000 25.000000 1.922415e-05 1.955440e-05 -0.017179\n", + "5 0.000010 111.803399 1.333957e+02 1.333028e+02 0.000697\n", + "6 0.000173 111.803399 4.777286e+01 4.773855e+01 0.000718\n", + "7 0.003000 111.803399 1.341028e+01 1.340044e+01 0.000734\n", + "8 0.051962 111.803399 1.978216e+00 1.978292e+00 -0.000038\n", + "9 0.900000 111.803399 6.644805e-06 6.756354e-06 -0.016787\n", + "10 0.000010 500.000000 1.967032e+02 1.965517e+02 0.000770\n", + "11 0.000173 500.000000 6.291393e+01 6.286327e+01 0.000805\n", + "12 0.003000 500.000000 1.542347e+01 1.541073e+01 0.000826\n", + "13 0.051962 500.000000 1.947465e+00 1.947532e+00 -0.000034\n", + "14 0.900000 500.000000 2.929060e-06 2.979511e-06 -0.017224\n", + "15 0.000010 2236.067977 2.633266e+02 2.631189e+02 0.000789\n", + "16 0.000173 2236.067977 7.708540e+01 7.702204e+01 0.000822\n", + "17 0.003000 2236.067977 1.700410e+01 1.699004e+01 0.000827\n", + "18 0.051962 2236.067977 1.893923e+00 1.894094e+00 -0.000090\n", + "19 0.900000 2236.067977 1.544450e-06 1.572860e-06 -0.018395\n", + "20 0.000010 10000.000000 3.314097e+02 3.311450e+02 0.000799\n", + "21 0.000173 10000.000000 9.023010e+01 9.015576e+01 0.000824\n", + "22 0.003000 10000.000000 1.825934e+01 1.824477e+01 0.000798\n", + "23 0.051962 10000.000000 1.830992e+00 1.831291e+00 -0.000163\n", + "24 0.900000 10000.000000 9.288458e-07 9.463689e-07 -0.018866\n" ] } ], @@ -475,15 +469,15 @@ "# load evolved pdf\n", "my_ct14llo = lhapdf.mkPDF(\"my_ct14llo\", 0)\n", "\n", - "pid = 21 # gluon pid\n", + "pid = 21 # gluon pid\n", "\n", "# collect data\n", - "log = {\"x\": [], \"Q2\" : [], \"ct14llo\": [], \"my_ct14llo\": [], \"relative_diff\": []} \n", - "for q in np.geomspace(5., 100, 5):\n", - " q2 = q**2.\n", + "log = {\"x\": [], \"Q2\": [], \"ct14llo\": [], \"my_ct14llo\": [], \"relative_diff\": []}\n", + "for q in np.geomspace(5.0, 100, 5):\n", + " q2 = q**2.0\n", " for x in np.geomspace(1e-5, 0.9, 5):\n", " value = ct14llo.xfxQ2(pid, x, q2)\n", - " my_value = my_ct14llo.xfxQ2(pid, x, q2)\n", + " my_value = my_ct14llo.xfxQ2(pid, x, q2)\n", " log[\"x\"].append(x)\n", " log[\"Q2\"].append(q2)\n", " log[\"ct14llo\"].append(value)\n", diff --git a/doc/source/refs.bib b/doc/source/refs.bib index 16a662451..769f2e326 100644 --- a/doc/source/refs.bib +++ b/doc/source/refs.bib @@ -823,14 +823,18 @@ @article{Kawamura:2012cr @article{Falcioni:2023luc, author = "Falcioni, G. and Herzog, F. and Moch, S. and Vogt, A.", - title = "{Four-loop splitting functions in QCD -- The quark-quark case}", + title = "{Four-loop splitting functions in QCD \textendash{} The quark-quark case}", eprint = "2302.07593", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "DESY 23--022, LTH 1333", - month = "2", + doi = "10.1016/j.physletb.2023.137944", + journal = "Phys. Lett. B", + volume = "842", + pages = "137944", year = "2023" } + @article{Gluck:1995yr, author = "Gluck, M. and Reya, E. and Stratmann, M. and Vogelsang, W.", title = "{Next-to-leading order radiative parton model analysis of polarized deep inelastic lepton - nucleon scattering}", @@ -991,24 +995,30 @@ @article{Dokshitzer:2005bf @article{Falcioni:2023vqq, author = "Falcioni, G. and Herzog, F. and Moch, S. and Vogt, A.", - title = "{Four-loop splitting functions in QCD -- The gluon-to-quark case}", + title = "{Four-loop splitting functions in QCD \textendash{} The gluon-to-quark case}", eprint = "2307.04158", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "DESY 23-096, LTH 1345", - month = "7", + doi = "10.1016/j.physletb.2023.138215", + journal = "Phys. Lett. B", + volume = "846", + pages = "138215", year = "2023" } @article{Gehrmann:2023cqm, author = "Gehrmann, Thomas and von Manteuffel, Andreas and Sotnikov, Vasily and Yang, Tong-Zhi", - title = "{Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions}", + title = "{Complete $ {N}_f^2 $ contributions to four-loop pure-singlet splitting functions}", eprint = "2308.07958", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "MSUHEP-23-024, ZU-TH 43/23", - month = "8", - year = "2023" + doi = "10.1007/JHEP01(2024)029", + journal = "JHEP", + volume = "01", + pages = "029", + year = "2024" } @article{Falcioni:2023tzp, @@ -1018,8 +1028,11 @@ @article{Falcioni:2023tzp archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "ZU-TH 62/23, DESY 23-146, Nikhef 2023-015, LTH 1353", - month = "10", - year = "2023" + doi = "10.1016/j.physletb.2023.138351", + journal = "Phys. Lett. B", + volume = "848", + pages = "138351", + year = "2024" } @article{Moch:2023tdj, @@ -1029,6 +1042,34 @@ @article{Moch:2023tdj archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "DESY-23-150, Nikhef 23-016, LTH 1354", - month = "10", - year = "2023" + doi = "10.1016/j.physletb.2024.138468", + journal = "Phys. Lett. B", + volume = "849", + pages = "138468", + year = "2024" +} + +@article{Ablinger:2024xtt, + author = {Ablinger, J. and Behring, A. and Bl\"umlein, J. and De Freitas, A. and von Manteuffel, A. and Schneider, C. and Sch\"onwald, K.}, + title = "{The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$}", + eprint = "2403.00513", + archivePrefix = "arXiv", + primaryClass = "hep-ph", + reportNumber = "DO--TH 23/15. DESY 24--027, RISC Report series 24--02, ZU-TH 13/24, + CERN-TH-2024-30, DO-TH 23/15, RISC Report series 24--02, ZU-TH 13/24, + CERN-TH-2024-30, DESY-24-027", + month = "3", + year = "2024", + journal = "" +} + +@article{Falcioni:2024xyt, + author = "Falcioni, G. and Herzog, F. and Moch, S. and Pelloni, A. and Vogt, A.", + title = "{Four-loop splitting functions in QCD -- The quark-to-gluon case}", + eprint = "2404.09701", + archivePrefix = "arXiv", + primaryClass = "hep-ph", + reportNumber = "ZU-TH 20/24, DESY-24-053, LTH 1367", + month = "4", + year = "2024" } diff --git a/doc/source/theory/Matching.rst b/doc/source/theory/Matching.rst index 5089c0a95..fa84cab16 100644 --- a/doc/source/theory/Matching.rst +++ b/doc/source/theory/Matching.rst @@ -88,11 +88,11 @@ During the matching we use :math:`a_s^{(n_f+1)}`: in fact the :math:`a_s` decoup :math:`\ln(\mu_{h}^2/m_{h}^2)`, which are cancelled by the OME's :math:`A_{kl,H}`. |N3LO| matrix elements have been presented in :cite:`Bierenbaum:2009mv` and following publications -:cite:`Ablinger:2010ty,Ablinger:2014vwa,Ablinger:2014uka,Behring:2014eya,Blumlein:2017wxd,Ablinger_2014,Ablinger_2015,Ablinger:2022wbb`. +:cite:`Ablinger:2010ty,Ablinger:2014vwa,Ablinger:2014uka,Behring:2014eya,Blumlein:2017wxd,Ablinger_2014,Ablinger_2015,Ablinger:2022wbb,Ablinger:2024xtt`. Parts proportional to :math:`\ln(\mu_{h}^2/m_{h}^2)` are also included up to |N3LO|. -The contribution of :math:`A_{Hg}^{(3)}` is not yet fully known analytically and has been parameterized using the first 5 known -moments :cite:`Bierenbaum:2009mv` and the |LL| small-x contribution :cite:`Kawamura:2012cr` +All the contributions are now known analytically. Due to the lengthy and complex expressions +some parts of :math:`A_{Hg}^{S,(3)},A_{Hq}^{S,(3)},A_{gg}^{S,(3)},A_{qq}^{NS,(3)}` have been parameterized. We remark that contributions of the heavy quark initiated diagrams at |NNLO| and |N3LO| have not been computed yet, thus the elements :math:`A_{qH}^{(2)},A_{gH}^{(2)}A_{HH}^{(2)}` are not encoded in EKO despite of being present. diff --git a/doc/source/theory/N3LO_ad.rst b/doc/source/theory/N3LO_ad.rst index 34030f7e7..1fb13a15e 100644 --- a/doc/source/theory/N3LO_ad.rst +++ b/doc/source/theory/N3LO_ad.rst @@ -264,7 +264,8 @@ The other parts are approximated using some known limits: & \gamma_{qg}(2) + \gamma_{gg}(2) = 0 \\ & \gamma_{qq}(2) + \gamma_{gq}(2) = 0 \\ - For :math:`\gamma_{qq,ps}, \gamma_{qg}` other 5 additional moments are available :cite:`Falcioni:2023luc,Falcioni:2023vqq`. + For :math:`\gamma_{qq,ps}, \gamma_{qg},\gamma_{gq}` other 5 additional moments are available from + :cite:`Falcioni:2023luc,Falcioni:2023vqq,Falcioni:2024xyt` respectively. making the parametrization of this splitting function much more accurate. The difference between the known moments and the known limits is parametrized @@ -337,7 +338,7 @@ final reduced sets of candidates. * - :math:`f_4(N)` - :math:`\frac{1}{N^4},\ \frac{1}{N^3},\ \frac{1}{N^2},\ \frac{1}{(N+1)},\ \frac{1}{(N+2)},\ \mathcal{M}[\ln^2(1-x)],\ \mathcal{M}[\ln(1-x)]` - Following :cite:`Moch:2023tdj` we have assumed no violation of the scaling with :math:`\gamma_{gg}` + Following :cite:`Moch:2023tdj,Falcioni:2024xyt` we have assumed no violation of the scaling with :math:`\gamma_{gg}` also for the |NLL| small-x term, to help the convergence. We expect that any possible deviation can be parametrized as a shift in the |NNLL| terms which are free to vary independently. diff --git a/extras/lh_bench_23/.gitignore b/extras/lh_bench_23/.gitignore index 2942ad98d..79e096ab2 100644 --- a/extras/lh_bench_23/.gitignore +++ b/extras/lh_bench_23/.gitignore @@ -1,3 +1,4 @@ *.tar *.csv *.dat +*.tex diff --git a/extras/lh_bench_23/cfg.py b/extras/lh_bench_23/cfg.py index ef7c747ef..c3700687d 100644 --- a/extras/lh_bench_23/cfg.py +++ b/extras/lh_bench_23/cfg.py @@ -62,10 +62,12 @@ def vfns_theory(xif=1.0): ] -def ffns_theory(xif=1.0): +def ffns_theory(xif=1.0, pto=2): """Generate a VFNS theory card.""" tt = copy.deepcopy(_t_ffns) tt["xif"] = xif + tt["order"] = (pto + 1, 0) + tt["matching_order"] = (pto, 0) return runcards.TheoryCard.from_dict(tt) @@ -107,9 +109,15 @@ def n3lo_theory(ad_variation, is_ffns, use_fhmruvv=False, xif=1.0): ) vfns_operator = runcards.OperatorCard.from_dict(_o_vfns) -_o_ffns = copy.deepcopy(_o_vfns) -_o_ffns["mugrid"] = [(100.0, 4)] -ffns_operator = runcards.OperatorCard.from_dict(_o_ffns) + +def ffns_operator(ev_method="iterate-exact"): + """Generate a FFNS theory card.""" + op = copy.deepcopy(_o_vfns) + op["mugrid"] = [(100.0, 4)] + op["configs"]["evolution_method"] = ev_method + if ev_method == "truncated": + op["configs"]["ev_op_iterations"] = 1 + return runcards.OperatorCard.from_dict(op) # flavor rotations diff --git a/extras/lh_bench_23/parse_to_latex.py b/extras/lh_bench_23/parse_to_latex.py new file mode 100644 index 000000000..7f59ddc2b --- /dev/null +++ b/extras/lh_bench_23/parse_to_latex.py @@ -0,0 +1,179 @@ +from cfg import here, table_dir, xgrid +from utils import compute_n3lo_avg_err, load_n3lo_tables + +n3lo_table_dir = table_dir + +latex_tab = here / "latex_tab" +latex_tab.mkdir(exist_ok=True) + +SVS = ["central", "up", "down"] + +MIDRULE1 = r""" +\hline \hline +\multicolumn{9}{||c||}{} \\[-3mm] +\multicolumn{9}{||c||}{""" + +MIDRULE2 = r"""} \\ +\multicolumn{9}{||c||}{} \\[-0.3cm] +\hline \hline + & & & & & & & \\[-0.3cm] +""" + +BOTTOMRULE = r""" +\hline \hline +\end{tabular} +\end{center} +\end{table} +""" + +VFNS_LABELS = r""" + \multicolumn{1}{c|} {$xu_v$} & + \multicolumn{1}{c|} {$xd_v$} & + \multicolumn{1}{c|} {$xL_-$} & + \multicolumn{1}{c|} {$xL_+$} & + \multicolumn{1}{c|} {$xs_+$} & + \multicolumn{1}{c|} {$xc_+$} & + \multicolumn{1}{c|} {$xb_+$} & + \multicolumn{1}{c||}{$xg$} \\[0.5mm] + """ + +FFNS_LABELS = r""" + \multicolumn{1}{c|} {$xu_v$} & + \multicolumn{1}{c|} {$xd_v$} & + \multicolumn{1}{c|} {$xL_-$} & + \multicolumn{1}{c|} {$xL_+$} & + \multicolumn{1}{c|} {$xs_v$} & + \multicolumn{1}{c|} {$xs_+$} & + \multicolumn{1}{c|} {$xc_+$} & + \multicolumn{1}{c||}{$xg$} + """ + + +def insert_headrule(scheme, approx, caption): + """Insert the middle rule.""" + label = r"\label{tab:" + f"n3lo_{scheme.lower()}_{approx.lower()}" + "}" + scheme_label = ( + r", $\, N_{\rm f} = 3\ldots 5\,$," + if scheme == "VFNS" + else r"$\, N_{\rm f} = 4$," + ) + HEADRULE = ( + r""" + \begin{table}[htp] + \caption{""" + + caption + + r"""} + """ + + label + + r""" + \begin{center} + \vspace{5mm} + \begin{tabular}{||c||r|r|r|r|r|r|r|r||} + \hline \hline + \multicolumn{9}{||c||}{} \\[-3mm] + \multicolumn{9}{||c||}{""" + # + r"""aN$^3$LO, """ + + approx + + scheme_label + + r"""$\,\mu_{\rm f}^2 = 10^4 \mbox{ GeV}^2$} \\ + \multicolumn{9}{||c||}{} \\[-0.3cm] + \hline \hline + \multicolumn{9}{||c||}{} \\[-3mm] + \multicolumn{1}{||c||}{$x$} & + """ + ) + HEADRULE += VFNS_LABELS if scheme == "VFNS" else FFNS_LABELS + HEADRULE += r"""\\[0.5mm]""" + return HEADRULE + + +def insert_midrule(sv): + """Insert the middle rule.""" + # TODO: is this mapping correct or the other way round ?? + # xif2 = 2 -> up + # xif2 = 1/2 -> down + label = { + "central": r"$\mu_{\rm r}^2 = \ \mu_{\rm f}^2$", + "down": r"$\mu_{\rm r}^2 = 0.5 \ \mu_{\rm f}^2$", + "up": r"$\mu_{\rm r}^2 = 2 \ \mu_{\rm f}^2$", + } + return MIDRULE1 + label[sv] + MIDRULE2 + + +def format_float(values): + """Clean float format.""" + values = values.replace("0000", "0") + values = values.replace("e-0", "$^{-") + values = values.replace("e-10", "$^{-10") + values = values.replace("e+0", "$^{+") + values = values.replace("&", "}$ &") + values = values.replace(r"\\", r"}$ \\") + return values + + +def dump_table(scheme: str, approx: str, caption: str): + """Write a nice latex table.""" + final_tab = insert_headrule(scheme, approx.replace("EKO", "NNPDF"), caption) + # loop on scales + for sv in SVS: + # load tables + dfs = load_n3lo_tables(n3lo_table_dir, scheme, sv=sv, approx=approx) + + central, err = compute_n3lo_avg_err(dfs) + + central.insert(0, "x", xgrid) + values = central.to_latex(float_format="{:.4e}".format, index=False) + values = "".join(e for e in values.split("\n")[4:-3]) + final_tab += insert_midrule(sv) + format_float(values) + + final_tab += BOTTOMRULE + + # write + with open( + latex_tab / f"table-{scheme}-{approx.replace('EKO', 'NNPDF')}.tex", + "w", + encoding="utf-8", + ) as f: + f.writelines(final_tab) + + +if __name__ == "__main__": + approx = "FHMRUVV" + scheme = "FFNS" + caption = r""" + Results for the FFNS aN$^3$LO evolution + for the initial conditions and the input parton distributions + given in Sec.~\ref{sec:toy_pdf}, + with the FHMRUVV splitting functions approximation and the NNPDF code. + """ + dump_table(scheme, approx, caption) + + approx = "FHMRUVV" + scheme = "VFNS" + caption = r""" + Results for the VFNS aN$^3$LO evolution + for the initial conditions and the input parton distributions + given in Sec.~\ref{sec:toy_pdf}, + with the FHMRUVV splitting functions approximation and the NNPDF code. + """ + dump_table(scheme, approx, caption) + + approx = "EKO" + scheme = "FFNS" + caption = r""" + Results for the FFNS aN$^3$LO evolution + for the initial conditions and the input parton distributions + given in Sec.~\ref{sec:toy_pdf}, + with the NNPDF splitting functions approximation. + """ + dump_table(scheme, approx, caption) + + approx = "EKO" + scheme = "VFNS" + caption = r""" + Results for the VFNS aN$^3$LO evolution + for the initial conditions and the input parton distributions + given in Sec.~\ref{sec:toy_pdf}, + with the NNPDF splitting functions approximation. + """ + dump_table(scheme, approx, caption) diff --git a/extras/lh_bench_23/plot_bench.py b/extras/lh_bench_23/plot_bench.py deleted file mode 100644 index 6887e7ac3..000000000 --- a/extras/lh_bench_23/plot_bench.py +++ /dev/null @@ -1,49 +0,0 @@ -from cfg import here, table_dir, xgrid -from utils import ( - compute_n3lo_avg_err, - compute_n3lo_nnlo_diff, - load_n3lo_tables, - load_nnlo_table, - plot_diff_to_nnlo, - plot_pdfs, -) - -USE_LINX = True -REL_DIFF = True -SCHEME = "VFNS" -SV = "central" - -plot_dir = here / "plots" -n3lo_table_dir = table_dir # / SCHEME - - -# load tables -eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="EKO") -fhmv_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="FHMV") -nnlo_central = load_nnlo_table(table_dir, SCHEME, SV) - -# compute avg and std -eko_res = compute_n3lo_avg_err(eko_dfs) -fhmv_res = compute_n3lo_avg_err(fhmv_dfs) -# eko_4mom_res = = compute_n3lo_avg_err(eko_dfs_4mom) - -n3lo_dfs = [ - (eko_res, "aN3LO EKO"), - (fhmv_res, "aN3LO FHMV"), - # (eko_4mom_res, "aN3LO EKO 4 mom"), -] - -# PDFs plots -plot_pdfs(xgrid, n3lo_dfs, nnlo_central, SCHEME, USE_LINX, plot_dir) - -# relative diff plots -eko_diff = compute_n3lo_nnlo_diff(eko_res, nnlo_central, REL_DIFF) -fhmv_diff = compute_n3lo_nnlo_diff(fhmv_res, nnlo_central, REL_DIFF) -n3lo_dfs = [ - (eko_diff, "aN3LO EKO"), - (fhmv_diff, "aN3LO FHMV"), - # (eko_4mom_res, "aN3LO EKO 4 mom"), -] - -# relative, absolute diff plots -plot_diff_to_nnlo(xgrid, n3lo_dfs, SCHEME, USE_LINX, plot_dir, REL_DIFF) diff --git a/extras/lh_bench_23/plot_bench_evol.py b/extras/lh_bench_23/plot_bench_evol.py index 92972af14..af25f5c65 100644 --- a/extras/lh_bench_23/plot_bench_evol.py +++ b/extras/lh_bench_23/plot_bench_evol.py @@ -18,17 +18,21 @@ # load tables -eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="EKO", rotate_to_evol=True) -fhmv_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="FHMV", rotate_to_evol=True) +eko_dfs = load_n3lo_tables( + n3lo_table_dir, SCHEME, sv="central", approx="EKO", rotate_to_evol=True +) +fhmruvv_dfs = load_n3lo_tables( + n3lo_table_dir, SCHEME, sv="central", approx="FHMRUVV", rotate_to_evol=True +) nnlo_central = load_nnlo_table(table_dir, SCHEME, SV, rotate_to_evol=True) # compute avg and std eko_res = compute_n3lo_avg_err(eko_dfs) -fhmv_res = compute_n3lo_avg_err(fhmv_dfs) +fhmruvv_res = compute_n3lo_avg_err(fhmruvv_dfs) n3lo_dfs = [ (eko_res, "aN3LO EKO"), - (fhmv_res, "aN3LO FHMV"), + (fhmruvv_res, "aN3LO FHMRUVV"), ] # absolute plots @@ -36,10 +40,10 @@ # relative, absolute diff plots eko_diff = compute_n3lo_nnlo_diff(eko_res, nnlo_central, REL_DIFF) -fhmv_diff = compute_n3lo_nnlo_diff(fhmv_res, nnlo_central, REL_DIFF) +fhmruvv_diff = compute_n3lo_nnlo_diff(fhmruvv_res, nnlo_central, REL_DIFF) n3lo_dfs = [ (eko_diff, "aN3LO EKO"), - (fhmv_diff, "aN3LO FHMV"), + (fhmruvv_diff, "aN3LO FHMRUVV"), ] plot_diff_to_nnlo(xgrid, n3lo_dfs, SCHEME, USE_LINX, plot_dir, REL_DIFF) diff --git a/extras/lh_bench_23/plot_bench_msht.py b/extras/lh_bench_23/plot_bench_msht.py index 0314082ee..f99c4c613 100644 --- a/extras/lh_bench_23/plot_bench_msht.py +++ b/extras/lh_bench_23/plot_bench_msht.py @@ -15,48 +15,51 @@ SV = "central" plot_dir = here / "plots_msht" -n3lo_table_dir = table_dir # / SCHEME +n3lo_table_dir = table_dir msht_table_dir = table_dir # load tables -eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="EKO") -fhmv_eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="FHMV") -msht_dfs = load_msht(msht_table_dir, SCHEME, approx="MSHT") -fhmv_msht_dfs = load_msht(msht_table_dir, SCHEME, approx="FHMV") +eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, SV, approx="EKO") + +fhmruvv_eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, SV, approx="FHMRUVV") +fhmruvv_msht_dfs = load_msht(msht_table_dir, SCHEME, approx="FHMRUVV") + +msht_post_dfs = load_msht(msht_table_dir, SCHEME, approx="MSHTposterior") +msht_prior_dfs = load_msht(msht_table_dir, SCHEME, approx="MSHTprior") nnlo_central = load_nnlo_table(table_dir, SCHEME, SV) # compute avg and std eko_res = compute_n3lo_avg_err(eko_dfs) -fhmv_eko_res = compute_n3lo_avg_err(fhmv_eko_dfs) -msht_res = compute_n3lo_avg_err(msht_dfs) -fhmv_msht_res = compute_n3lo_avg_err(fhmv_msht_dfs) -# eko_4mom_res = = compute_n3lo_avg_err(eko_dfs_4mom) +fhmruvv_eko_res = compute_n3lo_avg_err(fhmruvv_eko_dfs) +fhmruvv_msht_res = compute_n3lo_avg_err(fhmruvv_msht_dfs) +msht_post_res = compute_n3lo_avg_err(msht_post_dfs) +msht_prior_res = compute_n3lo_avg_err(msht_prior_dfs) -n3lo_dfs = [ - (eko_res, "EKO"), - (fhmv_eko_res, "FHMV EKO"), - (msht_res, "MSHT"), - (fhmv_msht_res, "FHMV MSHT") - # (eko_4mom_res, "aN3LO EKO 4 mom"), -] +# compute average of FHMRUVV +fhmruvv_res = [] +for a, b in zip(fhmruvv_msht_res, fhmruvv_eko_res): + fhmruvv_res.append((a + b) / 2) # PDFs plots +n3lo_dfs = [ + (fhmruvv_res, "FHMRUVV"), + (msht_prior_res, "MSHT (prior)"), + (msht_post_res, "MSHT (posterior)"), + (eko_res, "NNPDF"), +] plot_pdfs(xgrid, n3lo_dfs, nnlo_central, SCHEME, USE_LINX, plot_dir) -# relative diff plots +# relative, absolute diff plots eko_diff = compute_n3lo_nnlo_diff(eko_res, nnlo_central, REL_DIFF) -fhmv_eko_diff = compute_n3lo_nnlo_diff(fhmv_eko_res, nnlo_central, REL_DIFF) -msht_diff = compute_n3lo_nnlo_diff(msht_res, nnlo_central, REL_DIFF) -fhmv_msht_diff = compute_n3lo_nnlo_diff(fhmv_msht_res, nnlo_central, REL_DIFF) +fhmruvv_diff = compute_n3lo_nnlo_diff(fhmruvv_res, nnlo_central, REL_DIFF) +msht_prior_diff = compute_n3lo_nnlo_diff(msht_prior_res, nnlo_central, REL_DIFF) +msht_post_diff = compute_n3lo_nnlo_diff(msht_post_res, nnlo_central, REL_DIFF) n3lo_dfs = [ - (eko_diff, "EKO"), - (fhmv_eko_diff, "FHMV EKO"), - (msht_diff, "MSHT"), - (fhmv_msht_diff, "FHMV MSHT") - # (eko_4mom_res, "aN3LO EKO 4 mom"), + (fhmruvv_diff, "FHMRUVV"), + (msht_prior_diff, "MSHT (prior)"), + (msht_post_diff, "MSHT (posterior)"), + (eko_diff, "NNPDF"), ] - -# relative, absolute diff plots plot_diff_to_nnlo(xgrid, n3lo_dfs, SCHEME, USE_LINX, plot_dir, REL_DIFF) diff --git a/extras/lh_bench_23/plot_trn_exa.py b/extras/lh_bench_23/plot_trn_exa.py new file mode 100644 index 000000000..7558cedab --- /dev/null +++ b/extras/lh_bench_23/plot_trn_exa.py @@ -0,0 +1,64 @@ +import matplotlib.pyplot as plt +import numpy as np +import pandas as pd +from cfg import table_dir, xgrid +from utils import HERE, lha_labels + +from eko.io.types import EvolutionMethod + +plt.style.use(HERE / "plotstyle.mplstyle") +plot_dir = HERE / "plots_trn_exa" + +PTOS = {1: "NLO", 2: "NNLO", 3: "N$^3$LO"} + +COLUMNS_TO_KEEP = ["L_m", "L_p", "g"] + + +def load_table(method): + """Load tables.""" + dfs = {} + for pto in PTOS: + with open(table_dir / f"table_FFNS-{pto}_{method}.csv", encoding="utf-8") as f: + dfs[pto] = pd.read_csv(f, index_col=0) + return dfs + + +def plot_diff(xgrid, dfs_trn, dfs_exa): + cut_smallx = 0 + cut_largex = -1 + xgrid = xgrid[cut_smallx:cut_largex] + + plot_dir.mkdir(exist_ok=True) + + # loop on PDFs + for column in COLUMNS_TO_KEEP: + _, ax = plt.subplots(1, 1, figsize=(1 * 5, 1 * 3.5)) + j = np.where(dfs_trn[1].columns == column)[0][0] + + # loop on ptos + for pto, pto_label in PTOS.items(): + diff = (dfs_trn[pto] - dfs_exa[pto]) / dfs_trn[pto] * 100 + + ax.plot(xgrid, diff.values[cut_smallx:cut_largex, j], label=pto_label) + ax.hlines( + 0, + xgrid.min() - xgrid.min() / 3, + 1, + linestyles="dotted", + color="black", + linewidth=0.5, + ) + ax.set_xscale("log") + ax.set_xlabel("$x$") + ax.set_ylabel(f'${lha_labels("FFNS")[j]}$') + ax.set_xlim(xgrid.min() - xgrid.min() / 3, 1) + + plt.legend() + plt.tight_layout() + plt.savefig(f"{plot_dir}/diff_trn_exa_{column}.pdf") + + +if __name__ == "__main__": + dfs_trn = load_table(EvolutionMethod.TRUNCATED.value) + dfs_exa = load_table(EvolutionMethod.ITERATE_EXACT.value) + plot_diff(xgrid, dfs_trn, dfs_exa) diff --git a/extras/lh_bench_23/run-n3lo.py b/extras/lh_bench_23/run-n3lo.py index 4ee00d520..8098f28dc 100644 --- a/extras/lh_bench_23/run-n3lo.py +++ b/extras/lh_bench_23/run-n3lo.py @@ -76,7 +76,7 @@ use_fhmruvv=args.use_fhmruvv, xif=xif, ) - o = ffns_operator + o = ffns_operator() tab = 14 lab = ffns_labels rot = ffns_rotate_to_LHA diff --git a/extras/lh_bench_23/run-nnlo.py b/extras/lh_bench_23/run-nnlo.py index 85ab2f984..9f5c681cc 100644 --- a/extras/lh_bench_23/run-nnlo.py +++ b/extras/lh_bench_23/run-nnlo.py @@ -3,7 +3,6 @@ import pathlib import sys -import numpy as np import pandas as pd import yaml from banana import toy @@ -63,7 +62,7 @@ if args.scheme == "FFNS": scheme = "FFNS" t = ffns_theory(xif) - o = ffns_operator + o = ffns_operator() tab = 14 lab = ffns_labels rot = ffns_rotate_to_LHA diff --git a/extras/lh_bench_23/run-trn_exa.py b/extras/lh_bench_23/run-trn_exa.py new file mode 100644 index 000000000..97d1a1cf5 --- /dev/null +++ b/extras/lh_bench_23/run-trn_exa.py @@ -0,0 +1,72 @@ +import logging +import pathlib +import sys + +import pandas as pd +from banana import toy +from cfg import ( + ffns_labels, + ffns_operator, + ffns_rotate_to_LHA, + ffns_theory, + n3lo_theory, + table_dir, + xgrid, +) + +import eko +from eko.io.types import EvolutionMethod +from eko.runner.managed import solve +from ekobox import apply + +stdout_log = logging.StreamHandler(sys.stdout) +logger = logging.getLogger("eko") +logger.handlers = [] +logger.setLevel(logging.INFO) +logger.addHandler(stdout_log) + + +def compute(op_card, th_card): + rot = ffns_rotate_to_LHA + lab = ffns_labels + + method = op_card.configs.evolution_method.value + pto = th_card.order[0] - 1 + path = pathlib.Path(f"ekos/FFNS-{pto}_{method}.tar") + path.unlink(missing_ok=True) + + solve(th_card, op_card, path) + + # apply PDF + out = {} + with eko.EKO.read(path) as eko_: + pdf = apply.apply_pdf_flavor(eko_, toy.mkPDF("ToyLH", 0), xgrid, rot, lab) + for lab, f in list(pdf.values())[0]["pdfs"].items(): + out[lab] = xgrid * f + + # display result + pd.set_option("display.float_format", "{:.4e}".format) + me = pd.DataFrame(out) + print("EKO") + print(me) + # dump to file + table_dir.mkdir(exist_ok=True) + me.to_csv(f"{table_dir}/table_FFNS-{pto}_{method}.csv") + + +if __name__ == "__main__": + # loop on ev methods + for ev_method in [EvolutionMethod.TRUNCATED, EvolutionMethod.ITERATE_EXACT]: + op_card = ffns_operator(ev_method=ev_method.value) + # loop on pto + for pto in [1, 2, 3]: + if pto == 3: + th_card = n3lo_theory( + ad_variation=(0, 0, 0, 0, 0, 0, 0), + is_ffns=True, + use_fhmruvv=True, + xif=1.0, + ) + else: + th_card = ffns_theory(xif=1.0, pto=pto) + compute(op_card, th_card) diff --git a/extras/lh_bench_23/run_fhmv.sh b/extras/lh_bench_23/run_fhmruvv.sh similarity index 76% rename from extras/lh_bench_23/run_fhmv.sh rename to extras/lh_bench_23/run_fhmruvv.sh index 45807ea4d..a9c572ea8 100755 --- a/extras/lh_bench_23/run_fhmv.sh +++ b/extras/lh_bench_23/run_fhmruvv.sh @@ -1,12 +1,12 @@ #!/bin/bash -SCHEME="FFNS" -SV="central" +SCHEME="VFNS" +SV="up" AD_VAR=(0 0 0 0 0 0 0) # run the central -python run-n3lo.py $SCHEME $SV "${AD_VAR[@]}" "--use_fhmv" +python run-n3lo.py $SCHEME $SV "${AD_VAR[@]}" "--use_fhmruvv" # loop on gammas for I in {0..6} @@ -15,7 +15,7 @@ for I in {0..6} for VAR in {1..2} do AD_VAR[$I]=$VAR - python run-n3lo.py $SCHEME $SV "${AD_VAR[@]}" "--use_fhmv" + python run-n3lo.py $SCHEME $SV "${AD_VAR[@]}" "--use_fhmruvv" AD_VAR[$I]=0 done done diff --git a/extras/lh_bench_23/tables/EKO.zip b/extras/lh_bench_23/tables/EKO.zip new file mode 100644 index 000000000..66a797e7a Binary files /dev/null and b/extras/lh_bench_23/tables/EKO.zip differ diff --git a/extras/lh_bench_23/tables/MSHT.zip b/extras/lh_bench_23/tables/MSHT.zip new file mode 100644 index 000000000..f8b21d7e3 Binary files /dev/null and b/extras/lh_bench_23/tables/MSHT.zip differ diff --git a/extras/lh_bench_23/tables/table14-part1.csv b/extras/lh_bench_23/tables/table14-part1.csv new file mode 100644 index 000000000..a097532e3 --- /dev/null +++ b/extras/lh_bench_23/tables/table14-part1.csv @@ -0,0 +1,12 @@ +,u_v,d_v,L_m,L_p,s_v,s_p,c_p,g +0,0.00015287245911193973,0.00010244420879692456,5.701804944047695e-06,131.87354078018697,3.1436816070190436e-05,64.86280173199475,64.14679157813721,997.1307561193358 +1,0.0006917569524690991,0.0004428380604103019,2.540962411572222e-05,68.4720191281346,9.42792786741986e-05,33.38326131051351,32.81465915127868,490.92487156828173 +2,0.0030981326270356786,0.0018974460360321244,0.00010718483116568849,33.461112615453715,0.00022789575898341058,16.053854716894566,15.602425570742932,222.8638269365544 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file mode 100644 index 000000000..f715f873a --- /dev/null +++ b/extras/lh_bench_23/tables/table_FFNS-1_truncated.csv @@ -0,0 +1,12 @@ +,u_v,d_v,L_m,L_p,s_v,s_p,c_p,g +0,0.00010723462916228652,6.304516731093268e-05,4.164754964544373e-06,144.7074897533197,-5.960464476584964e-15,71.2774049623324,70.55983828629708,1082.3435303578935 +1,0.0005529404443077009,0.0003239489663496582,1.9582315470878136e-05,71.99355059408438,-6.08338701678715e-16,35.14205400224067,34.57221241418926,519.0923112686206 +2,0.002752823008775745,0.0016061384086087883,8.692003845839459e-05,34.08769374774182,-1.3183035262390176e-15,16.36536133478021,15.912941478487049,230.44661277831844 +3,0.013127888818741155,0.007618165274080762,0.000364589152972101,15.1988585225735,5.422061193975909e-16,7.062798109064177,6.704776954280582,92.07354002420296 +4,0.05883095627749258,0.033827800671777576,0.001459631770358389,6.2914783388055495,-3.6956091097739395e-16,2.730169759944633,2.4526358335997442,31.462899314870818 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mode 100644 index 000000000..2af479512 --- /dev/null +++ b/extras/lh_bench_23/tables/table_FFNS-3_truncated.csv @@ -0,0 +1,12 @@ +,u_v,d_v,L_m,L_p,s_v,s_p,c_p,g +0,9.343544936160187e-05,3.97588703957356e-05,7.634774574396073e-06,149.2941807579001,-3.5112148919386776e-05,73.57549898868884,72.86111343997482,1094.9096593483566 +1,0.0005471412343189227,0.0002907014882532298,3.126654684783732e-05,72.02462076969448,-6.65807383351694e-05,35.161356463659104,34.59404352385236,502.66814204097983 +2,0.002860229680268774,0.0016435696614229855,0.0001250321221518455,33.851910501447826,-4.4612311751533015e-05,16.25057461444312,15.800163462117418,221.92343864456535 +3,0.013610087080486177,0.00795365036709451,0.00048003091119545,15.159194026054355,0.00017475522591764659,7.045913097763293,6.689463282492342,89.97002152475457 +4,0.059618653451713306,0.03442582573289902,0.0017449527633395375,6.292121369891762,0.0004306457612423186,2.7335965648161547,2.457180790439582,31.299425909077453 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+10,0.00034957384653626496,1.8192571716122362e-05,1.38785628504736e-08,5.0388199511750236e-08,-2.2288232162085576e-10,1.2854620431865581e-08,4.825330555106835e-09,1.3296138258473455e-06 diff --git a/extras/lh_bench_23/utils.py b/extras/lh_bench_23/utils.py index dc83a2c7e..50033ad15 100644 --- a/extras/lh_bench_23/utils.py +++ b/extras/lh_bench_23/utils.py @@ -102,13 +102,21 @@ def rotate_lha_to_evol(df: pd.DataFrame, scheme: str) -> pd.DataFrame: def load_n3lo_tables( - n3lo_table_dir: pathlib.Path, scheme: str, approx: str, rotate_to_evol: bool = False + n3lo_table_dir: pathlib.Path, + scheme: str, + sv: str, + approx: str, + rotate_to_evol: bool = False, ) -> list: """Load the N3LO tables.""" dfs = [] + n3lo_table_dir = n3lo_table_dir / "EKO" / f"N3LO_{approx}_{scheme}" for p in n3lo_table_dir.iterdir(): if scheme not in p.stem: continue + if sv not in p.stem: + continue + if approx in p.stem: table = pd.read_csv(p, index_col=0) table.rename(columns=LHA_LABELS_MAP, inplace=True) @@ -140,21 +148,11 @@ def load_msht( table_dir: pathlib.Path, scheme: str, approx: str, rotate_to_evol: bool = False ) -> list: """Load MSHT files.""" - - if scheme != "VFNS": - raise ValueError(f"{scheme} not provided by MSHT, comment it out") - APPROX_MAP = { - "FHMV": "Moch", - "MSHT": "Posterior", - } - fhmv_msht_table_dir = table_dir / f"{scheme}_{APPROX_MAP[approx]}_numbers" + fhmruvv_msht_table_dir = table_dir / "MSHT" / f"N3LO_{approx}_{scheme}" columns = lha_labels(scheme) - # columns.insert(0,'x') - # columns.insert(0,'Q') dfs = [] - - for p in fhmv_msht_table_dir.iterdir(): + for p in fhmruvv_msht_table_dir.iterdir(): data = np.loadtxt(p) data = pd.DataFrame(data[:, 2:], columns=columns) if rotate_to_evol: @@ -167,10 +165,13 @@ def compute_n3lo_avg_err(dfs: list) -> tuple: """Compute N3LO average and error.""" df_central = np.mean(dfs, axis=0) df_central = pd.DataFrame(df_central, columns=dfs[0].columns) - # TODO: improve errors. - df_std = np.std(dfs, axis=0) - df_std = pd.DataFrame(df_std, columns=dfs[0].columns) - return df_central, df_std + + # NOTE: here we compute the error as an envelope + up = np.max(dfs, axis=0) + dw = np.min(dfs, axis=0) + df_err = (up - dw) / 2 + df_err = pd.DataFrame(df_err, columns=dfs[0].columns) + return df_central, df_err def compute_n3lo_nnlo_diff(n3lo: tuple, nnlo: pd.DataFrame, rel_diff: bool) -> tuple: @@ -194,16 +195,18 @@ def plot_pdfs( ) -> None: """Absolute PDFs plots.""" - fig, axs = plt.subplots(2, 4, figsize=(15, 7)) + ncols = 2 + nrows = 4 + fig, axs = plt.subplots(nrows, ncols, figsize=(ncols * 5, nrows * 3.5)) xcut = 4 if use_linx else 0 xgrid = xgrid[xcut:] xscale = "linx" if use_linx else "logx" - plot_name = f"lh_n3lo_bench_{scheme}_{xscale}" + plot_name = f"n3lo_bench_{scheme}_{xscale}" plot_dir.mkdir(exist_ok=True) - fig.suptitle(f"{scheme}" + " $Q: \\sqrt{2} \\to 100 \\ GeV$") + fig.suptitle(f"{scheme}" + r", $\mu_{\rm f}^2 = 10^4 \ \mbox{GeV}^2$") # loop on PDFs for i, ax in enumerate( @@ -260,18 +263,23 @@ def plot_diff_to_nnlo( ) -> None: """Difference w.r.t NNLO PDFs plots.""" - fig, axs = plt.subplots(2, 4, figsize=(15, 7)) + ncols = 2 + nrows = 4 + fig, axs = plt.subplots(nrows, ncols, figsize=(ncols * 5, nrows * 3.5)) - xcut = 4 if use_linx else 0 - xgrid = xgrid[xcut:] + # cut away small- and large-x values, for plotting + smallx_cut = 4 if use_linx else 2 + largex_cut = -1 if not use_linx else None + xgrid = xgrid[smallx_cut:largex_cut] xscale = "linx" if use_linx else "logx" diff_type = "rel_diff" if rel_dff else "abs_diff" - plot_name = f"lh_n3lo_bench_{scheme}_{xscale}_{diff_type}" + plot_name = f"n3lo_bench_{scheme}_{xscale}_{diff_type}" diff_type = "Relative" if rel_dff else "Absolute" fig.suptitle( - f"{diff_type} difference to NNLO, {scheme}" + " $Q: \\sqrt{2} \\to 100 \\ GeV$" + f"{diff_type} difference to NNLO, {scheme}" + + r", $\mu_{\rm f}^2 = 10^4 \ \mbox{GeV}^2$" ) for i, ax in enumerate( @@ -282,22 +290,26 @@ def plot_diff_to_nnlo( # loop on n3lo for j, (tabs, approx_label) in enumerate(n3lo_dfs): central, err = tabs - ax.errorbar( + obj = ax.errorbar( xgrid, - central.values[xcut:, i], - yerr=err.values[xcut:, i], + central.values[smallx_cut:largex_cut, i], + yerr=err.values[smallx_cut:largex_cut, i], fmt=FMT_LIST[j], label=approx_label, capsize=5, ) - # ax.errorbar( - # xgrid, - # eko_4mom_diff.values[:, i], - # yerr=eko_4mom_diff_std.values[:, i], - # fmt="x", - # label="aN3LO EKO (4 moments)", - # capsize=5, - # ) + ax.plot( + xgrid, + central.values[smallx_cut:largex_cut, i], + color=obj[0].get_color(), + alpha=0.3, + ) + ax.fill_between( + xgrid, + (central - err).values[smallx_cut:largex_cut, i], + (central + err).values[smallx_cut:largex_cut, i], + alpha=0.2, + ) ax.hlines( 0, xgrid.min() - xgrid.min() / 3, diff --git a/extras/n3lo_bench/plot_msht.py b/extras/n3lo_bench/plot_msht.py index 8ddc92d2a..05702729b 100644 --- a/extras/n3lo_bench/plot_msht.py +++ b/extras/n3lo_bench/plot_msht.py @@ -15,7 +15,7 @@ n3lo_vars_dict = { "gg": 19, - "gq": 21, + "gq": 15, "qg": 15, "qq": 6, } diff --git a/extras/n3lo_bench/splitting_function_utils.py b/extras/n3lo_bench/splitting_function_utils.py index 6b32c86cc..66a516a5e 100644 --- a/extras/n3lo_bench/splitting_function_utils.py +++ b/extras/n3lo_bench/splitting_function_utils.py @@ -103,9 +103,7 @@ def compute_a_s(q2=None, xif2=1.0, nf=None, order=(4, 0)): ref = CouplingsInfo( alphas=0.1181, alphaem=0.007496, - scale=91.00, - max_num_flavs=6, - num_flavs_ref=5, + ref=(91.00, 5), ) sc = Couplings( couplings=ref, diff --git a/flake.lock b/flake.lock index 3146adf01..d243cec36 100644 --- a/flake.lock +++ b/flake.lock @@ -4,7 +4,9 @@ "inputs": { "flake-compat": "flake-compat", "nix": "nix", - "nixpkgs": "nixpkgs", + "nixpkgs": [ + "nixpkgs" + ], "pre-commit-hooks": "pre-commit-hooks" }, "locked": { @@ -37,19 +39,21 @@ "type": "github" } }, - "flake-compat_2": { - "flake": false, + "flake-parts": { + "inputs": { + "nixpkgs-lib": "nixpkgs-lib" + }, "locked": { - "lastModified": 1673956053, - "narHash": "sha256-4gtG9iQuiKITOjNQQeQIpoIB6b16fm+504Ch3sNKLd8=", - "owner": "edolstra", - "repo": "flake-compat", - "rev": "35bb57c0c8d8b62bbfd284272c928ceb64ddbde9", + "lastModified": 1715865404, + "narHash": "sha256-/GJvTdTpuDjNn84j82cU6bXztE0MSkdnTWClUCRub78=", + "owner": "hercules-ci", + "repo": "flake-parts", + "rev": "8dc45382d5206bd292f9c2768b8058a8fd8311d9", "type": "github" }, "original": { - "owner": "edolstra", - "repo": "flake-compat", + "owner": "hercules-ci", + "repo": "flake-parts", "type": "github" } }, @@ -71,23 +75,6 @@ "type": "github" } }, - "flake-utils_2": { - "inputs": { - "systems": "systems_2" - }, - "locked": { - "lastModified": 1685518550, - "narHash": "sha256-o2d0KcvaXzTrPRIo0kOLV0/QXHhDQ5DTi+OxcjO8xqY=", - "owner": "numtide", - "repo": "flake-utils", - "rev": "a1720a10a6cfe8234c0e93907ffe81be440f4cef", - "type": "github" - }, - "original": { - "id": "flake-utils", - "type": "indirect" - } - }, "gitignore": { "inputs": { "nixpkgs": [ @@ -152,38 +139,30 @@ }, "nixpkgs": { "locked": { - "lastModified": 1678875422, - "narHash": "sha256-T3o6NcQPwXjxJMn2shz86Chch4ljXgZn746c2caGxd8=", + "lastModified": 1715787315, + "narHash": "sha256-cYApT0NXJfqBkKcci7D9Kr4CBYZKOQKDYA23q8XNuWg=", "owner": "NixOS", "repo": "nixpkgs", - "rev": "126f49a01de5b7e35a43fd43f891ecf6d3a51459", + "rev": "33d1e753c82ffc557b4a585c77de43d4c922ebb5", "type": "github" }, "original": { "owner": "NixOS", - "ref": "nixpkgs-unstable", + "ref": "nixos-unstable", "repo": "nixpkgs", "type": "github" } }, - "nixpkgs-python": { - "inputs": { - "flake-compat": "flake-compat_2", - "flake-utils": "flake-utils_2", - "nixpkgs": "nixpkgs_3" - }, + "nixpkgs-lib": { "locked": { - "lastModified": 1692934204, - "narHash": "sha256-dJG+DyQlWgeBEcCl9j3R5A4vcBnC2GLRacNeJgcZPo8=", - "owner": "cachix", - "repo": "nixpkgs-python", - "rev": "dfe9a33d0d9bd31650b69c36f8fff5f2d5342393", - "type": "github" + "lastModified": 1714640452, + "narHash": "sha256-QBx10+k6JWz6u7VsohfSw8g8hjdBZEf8CFzXH1/1Z94=", + "type": "tarball", + "url": "https://github.com/NixOS/nixpkgs/archive/50eb7ecf4cd0a5756d7275c8ba36790e5bd53e33.tar.gz" }, "original": { - "owner": "cachix", - "repo": "nixpkgs-python", - "type": "github" + "type": "tarball", + "url": "https://github.com/NixOS/nixpkgs/archive/50eb7ecf4cd0a5756d7275c8ba36790e5bd53e33.tar.gz" } }, "nixpkgs-regression": { @@ -220,32 +199,16 @@ }, "nixpkgs_2": { "locked": { - "lastModified": 1693183237, - "narHash": "sha256-c7OtyBkZ/vZE/WosBpRGRtkbWZjDHGJP7fg1FyB9Dsc=", + "lastModified": 1716330097, + "narHash": "sha256-8BO3B7e3BiyIDsaKA0tY8O88rClYRTjvAp66y+VBUeU=", "owner": "NixOS", "repo": "nixpkgs", - "rev": "ea5234e7073d5f44728c499192544a84244bf35a", + "rev": "5710852ba686cc1fd0d3b8e22b3117d43ba374c2", "type": "github" }, "original": { "owner": "NixOS", - "ref": "nixos-23.05", - "repo": "nixpkgs", - "type": "github" - } - }, - "nixpkgs_3": { - "locked": { - "lastModified": 1685974512, - "narHash": "sha256-WLPHpe96RbPRO9iDtCxgsYkadTheRq7wqXWdGpR6g7w=", - "owner": "domenkozar", - "repo": "nixpkgs", - "rev": "1102477695918daba466123cc2ef694ed3a49939", - "type": "github" - }, - "original": { - "owner": "domenkozar", - "ref": "cpython-moduralize", + "ref": "nixos-unstable", "repo": "nixpkgs", "type": "github" } @@ -281,9 +244,8 @@ "root": { "inputs": { "devenv": "devenv", - "nixpkgs": "nixpkgs_2", - "nixpkgs-python": "nixpkgs-python", - "systems": "systems_3" + "flake-parts": "flake-parts", + "nixpkgs": "nixpkgs_2" } }, "systems": { @@ -300,36 +262,6 @@ "repo": "default", "type": "github" } - }, - "systems_2": { - "locked": { - "lastModified": 1681028828, - "narHash": "sha256-Vy1rq5AaRuLzOxct8nz4T6wlgyUR7zLU309k9mBC768=", - "owner": "nix-systems", - "repo": "default", - "rev": "da67096a3b9bf56a91d16901293e51ba5b49a27e", - "type": "github" - }, - "original": { - "owner": "nix-systems", - "repo": "default", - "type": "github" - } - }, - "systems_3": { - "locked": { - "lastModified": 1681028828, - "narHash": "sha256-Vy1rq5AaRuLzOxct8nz4T6wlgyUR7zLU309k9mBC768=", - "owner": "nix-systems", - "repo": "default", - "rev": "da67096a3b9bf56a91d16901293e51ba5b49a27e", - "type": "github" - }, - "original": { - "owner": "nix-systems", - "repo": "default", - "type": "github" - } } }, "root": "root", diff --git a/flake.nix b/flake.nix index 28ea23292..28cacfc7c 100644 --- a/flake.nix +++ b/flake.nix @@ -1,46 +1,48 @@ { inputs = { - nixpkgs.url = "github:NixOS/nixpkgs/nixos-23.05"; - systems.url = "github:nix-systems/default"; - devenv.url = "github:cachix/devenv"; - nixpkgs-python.url = "github:cachix/nixpkgs-python"; - }; - - nixConfig = { - extra-trusted-public-keys = "devenv.cachix.org-1:w1cLUi8dv3hnoSPGAuibQv+f9TZLr6cv/Hm9XgU50cw="; - extra-substituters = "https://devenv.cachix.org"; + nixpkgs.url = "github:NixOS/nixpkgs/nixos-unstable"; + devenv = { + url = "github:cachix/devenv"; + inputs.nixpkgs.follows = "nixpkgs"; + }; + flake-parts.url = "github:hercules-ci/flake-parts"; }; outputs = { self, nixpkgs, devenv, - systems, + flake-parts, ... - } @ inputs: let - forEachSystem = nixpkgs.lib.genAttrs (import systems); - in { - devShells = - forEachSystem - (system: let - pkgs = nixpkgs.legacyPackages.${system}; - in { - default = devenv.lib.mkShell { - inherit inputs pkgs; - modules = [ - { - languages.python = { + } @ inputs: + flake-parts.lib.mkFlake {inherit inputs;} { + imports = [inputs.devenv.flakeModule]; + systems = ["x86_64-linux" "aarch64-darwin"]; + + perSystem = {pkgs, ...}: { + devenv.shells.default = { + packages = with pkgs; [maturin poethepoet pre-commit stdenv.cc.cc.lib]; + + languages = { + python = { + enable = true; + poetry = { enable = true; - poetry = { + install = { enable = true; - install.enable = true; - install.allExtras = true; + allExtras = true; + groups = ["dev" "test"]; }; - version = "3.11"; }; - } - ]; + }; + rust.enable = true; + }; }; - }); + }; + }; + + nixConfig = { + extra-trusted-public-keys = "devenv.cachix.org-1:w1cLUi8dv3hnoSPGAuibQv+f9TZLr6cv/Hm9XgU50cw="; + extra-substituters = "https://devenv.cachix.org"; }; } diff --git a/poetry.lock b/poetry.lock index b317d6d7d..84e9082a9 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,14 +1,14 @@ -# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand. +# This file is automatically @generated by Poetry 1.8.1 and should not be changed by hand. [[package]] name = "alabaster" -version = "0.7.13" -description = "A configurable sidebar-enabled Sphinx theme" +version = "0.7.16" +description = "A light, configurable Sphinx theme" optional = false -python-versions = ">=3.6" +python-versions = ">=3.9" files = [ - {file = "alabaster-0.7.13-py3-none-any.whl", hash = "sha256:1ee19aca801bbabb5ba3f5f258e4422dfa86f82f3e9cefb0859b283cdd7f62a3"}, - {file = "alabaster-0.7.13.tar.gz", hash = "sha256:a27a4a084d5e690e16e01e03ad2b2e552c61a65469419b907243193de1a84ae2"}, + {file = "alabaster-0.7.16-py3-none-any.whl", hash = "sha256:b46733c07dce03ae4e150330b975c75737fa60f0a7c591b6c8bf4928a28e2c92"}, + {file = "alabaster-0.7.16.tar.gz", hash = "sha256:75a8b99c28a5dad50dd7f8ccdd447a121ddb3892da9e53d1ca5cca3106d58d65"}, ] [[package]] @@ -24,50 +24,46 @@ files = [ [[package]] name = "appnope" -version = "0.1.3" +version = "0.1.4" description = "Disable App Nap on macOS >= 10.9" optional = false -python-versions = "*" +python-versions = ">=3.6" files = [ - {file = "appnope-0.1.3-py2.py3-none-any.whl", hash = "sha256:265a455292d0bd8a72453494fa24df5a11eb18373a60c7c0430889f22548605e"}, - {file = "appnope-0.1.3.tar.gz", hash = "sha256:02bd91c4de869fbb1e1c50aafc4098827a7a54ab2f39d9dcba6c9547ed920e24"}, + {file = "appnope-0.1.4-py2.py3-none-any.whl", hash = "sha256:502575ee11cd7a28c0205f379b525beefebab9d161b7c964670864014ed7213c"}, + {file = "appnope-0.1.4.tar.gz", hash = "sha256:1de3860566df9caf38f01f86f65e0e13e379af54f9e4bee1e66b48f2efffd1ee"}, ] [[package]] name = "astroid" -version = "2.15.6" +version = "3.2.3" description = "An abstract syntax tree for Python with inference support." optional = false -python-versions = ">=3.7.2" +python-versions = ">=3.8.0" files = [ - {file = "astroid-2.15.6-py3-none-any.whl", hash = "sha256:389656ca57b6108f939cf5d2f9a2a825a3be50ba9d589670f393236e0a03b91c"}, - {file = "astroid-2.15.6.tar.gz", hash = "sha256:903f024859b7c7687d7a7f3a3f73b17301f8e42dfd9cc9df9d4418172d3e2dbd"}, + {file = "astroid-3.2.3-py3-none-any.whl", hash = "sha256:3eae9ea67c11c858cdd2c91337d2e816bd019ac897ca07d7b346ac10105fceb3"}, + {file = "astroid-3.2.3.tar.gz", hash = "sha256:7099b5a60985529d8d46858befa103b82d0d05a5a5e8b816b5303ed96075e1d9"}, ] [package.dependencies] -lazy-object-proxy = ">=1.4.0" typing-extensions = {version = ">=4.0.0", markers = "python_version < \"3.11\""} -wrapt = [ - {version = ">=1.11,<2", markers = "python_version < \"3.11\""}, - {version = ">=1.14,<2", markers = "python_version >= \"3.11\""}, -] [[package]] name = "asttokens" -version = "2.2.1" +version = "2.4.1" description = "Annotate AST trees with source code positions" optional = false python-versions = "*" files = [ - {file = "asttokens-2.2.1-py2.py3-none-any.whl", hash = "sha256:6b0ac9e93fb0335014d382b8fa9b3afa7df546984258005da0b9e7095b3deb1c"}, - {file = "asttokens-2.2.1.tar.gz", hash = "sha256:4622110b2a6f30b77e1473affaa97e711bc2f07d3f10848420ff1898edbe94f3"}, + {file = "asttokens-2.4.1-py2.py3-none-any.whl", hash = "sha256:051ed49c3dcae8913ea7cd08e46a606dba30b79993209636c4875bc1d637bc24"}, + {file = "asttokens-2.4.1.tar.gz", hash = "sha256:b03869718ba9a6eb027e134bfdf69f38a236d681c83c160d510768af11254ba0"}, ] [package.dependencies] -six = "*" +six = ">=1.12.0" [package.extras] -test = ["astroid", "pytest"] +astroid = ["astroid (>=1,<2)", "astroid (>=2,<4)"] +test = ["astroid (>=1,<2)", "astroid (>=2,<4)", "pytest"] [[package]] name = "asv" @@ -87,56 +83,46 @@ hg = ["python-hglib (>=1.5)"] [[package]] name = "attrs" -version = "23.1.0" +version = "23.2.0" description = "Classes Without Boilerplate" optional = false python-versions = ">=3.7" files = [ - {file = "attrs-23.1.0-py3-none-any.whl", hash = "sha256:1f28b4522cdc2fb4256ac1a020c78acf9cba2c6b461ccd2c126f3aa8e8335d04"}, - {file = "attrs-23.1.0.tar.gz", hash = "sha256:6279836d581513a26f1bf235f9acd333bc9115683f14f7e8fae46c98fc50e015"}, + {file = "attrs-23.2.0-py3-none-any.whl", hash = "sha256:99b87a485a5820b23b879f04c2305b44b951b502fd64be915879d77a7e8fc6f1"}, + {file = "attrs-23.2.0.tar.gz", hash = "sha256:935dc3b529c262f6cf76e50877d35a4bd3c1de194fd41f47a2b7ae8f19971f30"}, ] [package.extras] cov = ["attrs[tests]", "coverage[toml] (>=5.3)"] -dev = ["attrs[docs,tests]", "pre-commit"] +dev = ["attrs[tests]", "pre-commit"] docs = ["furo", "myst-parser", "sphinx", "sphinx-notfound-page", "sphinxcontrib-towncrier", "towncrier", "zope-interface"] tests = ["attrs[tests-no-zope]", "zope-interface"] -tests-no-zope = ["cloudpickle", "hypothesis", "mypy (>=1.1.1)", "pympler", "pytest (>=4.3.0)", "pytest-mypy-plugins", "pytest-xdist[psutil]"] +tests-mypy = ["mypy (>=1.6)", "pytest-mypy-plugins"] +tests-no-zope = ["attrs[tests-mypy]", "cloudpickle", "hypothesis", "pympler", "pytest (>=4.3.0)", "pytest-xdist[psutil]"] [[package]] name = "babel" -version = "2.12.1" +version = "2.15.0" description = "Internationalization utilities" optional = false -python-versions = ">=3.7" +python-versions = ">=3.8" files = [ - {file = "Babel-2.12.1-py3-none-any.whl", hash = "sha256:b4246fb7677d3b98f501a39d43396d3cafdc8eadb045f4a31be01863f655c610"}, - {file = "Babel-2.12.1.tar.gz", hash = "sha256:cc2d99999cd01d44420ae725a21c9e3711b3aadc7976d6147f622d8581963455"}, + {file = "Babel-2.15.0-py3-none-any.whl", hash = "sha256:08706bdad8d0a3413266ab61bd6c34d0c28d6e1e7badf40a2cebe67644e2e1fb"}, + {file = "babel-2.15.0.tar.gz", hash = "sha256:8daf0e265d05768bc6c7a314cf1321e9a123afc328cc635c18622a2f30a04413"}, ] -[package.dependencies] -pytz = {version = ">=2015.7", markers = "python_version < \"3.9\""} - -[[package]] -name = "backcall" -version = "0.2.0" -description = "Specifications for callback functions passed in to an API" -optional = false -python-versions = "*" -files = [ - {file = "backcall-0.2.0-py2.py3-none-any.whl", hash = "sha256:fbbce6a29f263178a1f7915c1940bde0ec2b2a967566fe1c65c1dfb7422bd255"}, - {file = "backcall-0.2.0.tar.gz", hash = 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"jaraco.functools", "jaraco.itertools", "jaraco.test", "more-itertools", "pytest (>=6,!=8.1.*)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy", "pytest-ruff (>=0.2.1)"] [extras] box = ["click", "rich"] @@ -3195,5 +3221,5 @@ mark = ["banana-hep", "matplotlib", "pandas", "sqlalchemy"] [metadata] lock-version = "2.0" -python-versions = "^3.8,<3.12" -content-hash = "c47f4aa70036a1a754fc2528a335539342d0919a66dfe1051fe63cbce01338a2" +python-versions = "^3.9,<3.13" +content-hash = "075575a682ab1f660b2dd3c0fc20b9c1a43ebb6e50d5d3a5d786a865810718fe" diff --git a/pyproject.toml b/pyproject.toml index d02ee9f80..89ef66c71 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -37,16 +37,16 @@ packages = [ ] [tool.poetry.dependencies] -python = "^3.8,<3.12" +python = "^3.9,<3.13" numpy = "^1.24" scipy = "^1.10.1" PyYAML = "^6.0" lz4 = "^4.0.2" -numba = "^0.57.0" +numba = "^0.59.0" # ekomark banana-hep = { version = "^0.6.12", optional = true } sqlalchemy = { version = "^1.4.21", optional = true } -pandas = { version = "^1.3.0", optional = true } +pandas = { version = "^2.1.4", optional = true } matplotlib = { version = "^3.5.1", optional = true } rich = { version = "^12.6.0", optional = true } click = { version = ">=8.0.3,<9.0.0", optional = true } @@ -55,7 +55,7 @@ click = { version = ">=8.0.3,<9.0.0", optional = true } optional = true [tool.poetry.group.docs.dependencies] -Sphinx = "^4.3.2" +Sphinx = "^7.0.0" sphinx-rtd-theme = "^1.0.0" sphinxcontrib-bibtex = "^2.4.1" nbsphinx = "^0.8.8" @@ -68,7 +68,7 @@ optional = true pytest = "^7.1.3" pytest-cov = "4.0.0" pytest-env = "^0.6.2" -pylint = "^2.12.2" +pylint = "^3.1.0" [tool.poetry.group.dev.dependencies] pdbpp = "^0.10.3" @@ -78,6 +78,10 @@ asv = "^0.4.2" virtualenv = "^20.13.2" devtools = "^0.10.0" + +[tool.poetry.group.version.dependencies] +tomlkit = "^0.12.5" + [tool.poetry.extras] mark = ["banana-hep", "sqlalchemy", "pandas", "matplotlib"] box = ["rich", "click"] @@ -124,6 +128,16 @@ asv-publish = "asv publish --config benchmarks/asv.conf.json" asv-show = "asv show --config benchmarks/asv.conf.json" asv-clean = { "shell" = "rm -rf benchmarks/env benchmarks/html benchmarks/results" } asv = ["asv-run", "asv-publish", "asv-preview"] +bump-version = { "shell" = "python crates/bump-versions.py $(git describe --tags)" } +compile = "pip install -e crates/eko/" +rdocs.cmd = "cargo doc --workspace --no-deps" +rdocs.env = { RUSTDOCFLAGS = "--html-in-header crates/katex-header.html" } +rdocs-view = "xdg-open target/doc/ekors/index.html" +rdocs-clean = "rm -rf target/doc/" +rtest = "cargo test --workspace" +fmtcheck = "cargo fmt --all -- --check" +clippy = "cargo clippy --no-deps" +rbib = { "shell" = "python crates/make_bib.py > crates/ekore/src/bib.rs" } [tool.pytest.ini_options] testpaths = ['tests/', 'benchmarks/'] diff --git a/pyproject.toml.patch b/pyproject.toml.patch index 65b5daa2c..f4ccc7a37 100644 --- a/pyproject.toml.patch +++ b/pyproject.toml.patch @@ -1,5 +1,5 @@ diff --git a/pyproject.toml b/pyproject.toml -index 31be6cb0..b4ec7c95 100644 +index 088cab32..0d486637 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,6 +1,20 @@ @@ -11,7 +11,7 @@ index 31be6cb0..b4ec7c95 100644 + +[project] +name = "eko" -+requires-python = ">=3.8" ++requires-python = ">=3.9" +classifiers = [ + "Programming Language :: Rust", + "Programming Language :: Python :: Implementation :: CPython", @@ -25,15 +25,3 @@ index 31be6cb0..b4ec7c95 100644 [tool.poetry] name = "eko" -@@ -124,6 +138,11 @@ asv-publish = "asv publish --config benchmarks/asv.conf.json" - asv-show = "asv show --config benchmarks/asv.conf.json" - asv-clean = { "shell" = "rm -rf benchmarks/env benchmarks/html benchmarks/results" } - asv = ["asv-run", "asv-publish", "asv-preview"] -+compile = "pip install -e crates/eko/" -+rdocs = "cargo doc --workspace --manifest-path crates/Cargo.toml --no-deps" -+rdocs-view = "xdg-open crates/target/doc/ekors/index.html" -+rdocs-clean = "rm -rf crates/target/doc/" -+rtest = "cargo test --workspace --manifest-path crates/Cargo.toml" - - [tool.pytest.ini_options] - testpaths = ['tests/', 'benchmarks/'] diff --git a/rustify.sh b/rustify.sh index 05078d0b7..297afdb3d 100755 --- a/rustify.sh +++ b/rustify.sh @@ -1,5 +1,9 @@ -#!/usr/bin/bash +#!/usr/bin/env bash +# git diff --merge-base master pyproject.toml > pyproject.toml.patch patch -p1 src/eko/evolution_operator/__init__.py.patch patch -p1 `. """ + import logging -from typing import Iterable, List +from typing import Dict, Iterable, List, Tuple import numba as nb import numpy as np +import numpy.typing as npt import scipy from . import constants, matchings @@ -382,6 +384,10 @@ def couplings_expanded_fixed_alphaem(order, couplings_ref, nf, scale_from, scale return np.array([res_as, aem]) +_CouplingsCacheKey = Tuple[float, float, int, float, float] +"""Cache key containing (a0, a1, nf, scale_from, scale_to).""" + + class Couplings: r"""Compute the strong and electromagnetic coupling constants :math:`a_s, a_{em}`. @@ -435,7 +441,7 @@ def assert_positive(name, var): assert_positive("alpha_s_ref", couplings.alphas) assert_positive("alpha_em_ref", couplings.alphaem) - assert_positive("scale_ref", couplings.scale) + assert_positive("scale_ref", couplings.ref[0]) if order[0] not in [1, 2, 3, 4]: raise NotImplementedError( "QCD order has to be an integer between 1 (LO) and 4 (N3LO)" @@ -449,7 +455,7 @@ def assert_positive(name, var): raise ValueError(f"Unknown method {method.value}") self.method = method.value - nf_ref = couplings.num_flavs_ref + nf_ref = couplings.ref[1] scheme_name = hqm_scheme.name self.alphaem_running = couplings.em_running self.decoupled_running = False @@ -458,7 +464,7 @@ def assert_positive(name, var): self.a_ref = np.array(couplings.values) / 4.0 / np.pi # convert to a_s and a_em matching_scales = (np.array(masses) * np.array(thresholds_ratios)).tolist() self.thresholds_ratios = list(thresholds_ratios) - self.atlas = matchings.Atlas(matching_scales, (couplings.scale**2, nf_ref)) + self.atlas = matchings.Atlas(matching_scales, (couplings.ref[0] ** 2, nf_ref)) self.hqm_scheme = scheme_name logger.info( "Strong Coupling: a_s(µ_R^2=%f)%s=%f=%f/(4π)", @@ -479,7 +485,7 @@ def assert_positive(name, var): self.decoupled_running, ) # cache - self.cache = {} + self.cache: Dict[_CouplingsCacheKey, npt.NDArray] = {} @property def mu2_ref(self): diff --git a/src/eko/evolution_operator/__init__.py b/src/eko/evolution_operator/__init__.py index f334b83e3..fe07ade9e 100644 --- a/src/eko/evolution_operator/__init__.py +++ b/src/eko/evolution_operator/__init__.py @@ -8,6 +8,7 @@ import os import time from multiprocessing import Pool +from typing import Dict, Tuple import numba as nb import numpy as np @@ -20,11 +21,12 @@ from .. import basis_rotation as br from .. import interpolation, mellin from .. import scale_variations as sv +from ..io.types import EvolutionMethod, OperatorLabel +from ..kernels import ev_method from ..kernels import non_singlet as ns from ..kernels import non_singlet_qed as qed_ns from ..kernels import singlet as s from ..kernels import singlet_qed as qed_s -from ..kernels import utils from ..kernels import valence_qed as qed_v from ..matchings import Segment, lepton_number from ..member import OpMember @@ -601,7 +603,11 @@ def quad_ker_qed( return ker -class Operator(sv.ModeMixin): +OpMembers = Dict[OperatorLabel, OpMember] +"""Map of all operators.""" + + +class Operator(sv.ScaleVariationModeMixin): """Internal representation of a single EKO. The actual matrices are computed upon calling :meth:`compute`. @@ -626,8 +632,8 @@ class Operator(sv.ModeMixin): log_label = "Evolution" # complete list of possible evolution operators labels - full_labels = br.full_labels - full_labels_qed = br.full_unified_labels + full_labels: Tuple[OperatorLabel, ...] = br.full_labels + full_labels_qed: Tuple[OperatorLabel, ...] = br.full_unified_labels def __init__( self, config, managers, segment: Segment, mellin_cut=5e-2, is_threshold=False @@ -640,9 +646,9 @@ def __init__( # TODO make 'cut' external parameter? self._mellin_cut = mellin_cut self.is_threshold = is_threshold - self.op_members = {} + self.op_members: OpMembers = {} self.order = tuple(config["order"]) - self.alphaem_running = self.managers["couplings"].alphaem_running + self.alphaem_running = self.managers.couplings.alphaem_running if self.log_label == "Evolution": self.a = self.compute_a() self.as_list, self.a_half_list = self.compute_aem_list() @@ -664,7 +670,7 @@ def xif2(self): @property def int_disp(self): """Return the interpolation dispatcher.""" - return self.managers["interpol_dispatcher"] + return self.managers.interpolator @property def grid_size(self): @@ -687,7 +693,7 @@ def mu2(self): def compute_a(self): """Return the computed values for :math:`a_s` and :math:`a_{em}`.""" - coupling = self.managers["couplings"] + coupling = self.managers.couplings a0 = coupling.a( self.mu2[0], nf_to=self.nf, @@ -723,8 +729,8 @@ def compute_aem_list(self): as_list = np.array([self.a_s[0], self.a_s[1]]) a_half = np.zeros((ev_op_iterations, 2)) else: - couplings = self.managers["couplings"] - mu2_steps = utils.geomspace(self.q2_from, self.q2_to, 1 + ev_op_iterations) + couplings = self.managers.couplings + mu2_steps = np.geomspace(self.q2_from, self.q2_to, 1 + ev_op_iterations) mu2_l = mu2_steps[0] as_list = np.array( [couplings.a_s(scale_to=mu2, nf_to=self.nf) for mu2 in mu2_steps] @@ -781,6 +787,11 @@ def labels(self): labels.extend(br.singlet_unified_labels) return labels + @property + def ev_method(self): + """Return the evolution method.""" + return ev_method(EvolutionMethod(self.config["method"])) + def quad_ker(self, label, logx, areas): """Return partially initialized integrand function. @@ -804,7 +815,7 @@ def quad_ker(self, label, logx, areas): order=self.order, mode0=label[0], mode1=label[1], - method=self.config["method"], + method=self.ev_method, is_log=self.int_disp.log, logx=logx, areas=areas, @@ -990,27 +1001,23 @@ def copy_ns_ops(self): if self.order[1] == 0: if self.order[0] == 1: # in LO +=-=v for label in ["nsV", "ns-"]: - self.op_members[ - (br.non_singlet_pids_map[label], 0) - ].value = self.op_members[ - (br.non_singlet_pids_map["ns+"], 0) - ].value.copy() - self.op_members[ - (br.non_singlet_pids_map[label], 0) - ].error = self.op_members[ - (br.non_singlet_pids_map["ns+"], 0) - ].error.copy() + self.op_members[(br.non_singlet_pids_map[label], 0)].value = ( + self.op_members[ + (br.non_singlet_pids_map["ns+"], 0) + ].value.copy() + ) + self.op_members[(br.non_singlet_pids_map[label], 0)].error = ( + self.op_members[ + (br.non_singlet_pids_map["ns+"], 0) + ].error.copy() + ) elif self.order[0] == 2: # in NLO -=v - self.op_members[ - (br.non_singlet_pids_map["nsV"], 0) - ].value = self.op_members[ - (br.non_singlet_pids_map["ns-"], 0) - ].value.copy() - self.op_members[ - (br.non_singlet_pids_map["nsV"], 0) - ].error = self.op_members[ - (br.non_singlet_pids_map["ns-"], 0) - ].error.copy() + self.op_members[(br.non_singlet_pids_map["nsV"], 0)].value = ( + self.op_members[(br.non_singlet_pids_map["ns-"], 0)].value.copy() + ) + self.op_members[(br.non_singlet_pids_map["nsV"], 0)].error = ( + self.op_members[(br.non_singlet_pids_map["ns-"], 0)].error.copy() + ) # at O(as0aem1) u-=u+, d-=d+ # starting from O(as1aem1) P+ != P- # However the solution with pure QED is not implemented in EKO diff --git a/src/eko/evolution_operator/__init__.py.patch b/src/eko/evolution_operator/__init__.py.patch index 00f8815d3..995d77b6b 100644 --- a/src/eko/evolution_operator/__init__.py.patch +++ b/src/eko/evolution_operator/__init__.py.patch @@ -1,8 +1,8 @@ diff --git a/src/eko/evolution_operator/__init__.py b/src/eko/evolution_operator/__init__.py -index 29e67c19..08e768e3 100644 +index fe07ade9..0f58c9e5 100644 --- a/src/eko/evolution_operator/__init__.py +++ b/src/eko/evolution_operator/__init__.py -@@ -3,15 +3,15 @@ r"""Contains the central operator classes. +@@ -3,16 +3,16 @@ r"""Contains the central operator classes. See :doc:`Operator overview `. """ @@ -11,6 +11,7 @@ index 29e67c19..08e768e3 100644 import os import time from multiprocessing import Pool + from typing import Dict, Tuple +import ekors import numba as nb @@ -20,9 +21,9 @@ index 29e67c19..08e768e3 100644 import ekore.anomalous_dimensions.polarized.space_like as ad_ps import ekore.anomalous_dimensions.unpolarized.space_like as ad_us -@@ -28,92 +28,10 @@ from ..kernels import utils +@@ -30,92 +30,10 @@ from ..kernels import singlet_qed as qed_s from ..kernels import valence_qed as qed_v - from ..matchings import Segment + from ..matchings import Segment, lepton_number from ..member import OpMember +from .quad_ker import cb_quad_ker_qcd @@ -114,7 +115,7 @@ index 29e67c19..08e768e3 100644 spec = [ ("is_singlet", nb.boolean), ("is_QEDsinglet", nb.boolean), -@@ -185,403 +103,6 @@ class QuadKerBase: +@@ -187,421 +105,6 @@ class QuadKerBase: return self.path.prefactor * pj * self.path.jac @@ -142,6 +143,7 @@ index 29e67c19..08e768e3 100644 - n3lo_ad_variation, - is_polarized, - is_time_like, +- use_fhmruvv, -): - """Raw evolution kernel inside quad. - @@ -188,11 +190,13 @@ index 29e67c19..08e768e3 100644 - is_threshold : boolean - is this an intermediate threshold operator? - n3lo_ad_variation : tuple -- |N3LO| anomalous dimension variation ``(gg_var, gq_var, qg_var, qq_var)`` +- |N3LO| anomalous dimension variation ``(gg, gq, qg, qq, nsp, nsm, nsv)`` - is_polarized : boolean - is polarized evolution ? - is_time_like : boolean - is time-like evolution ? +- use_fhmruvv : bool +- if True use the |FHMRUVV| |N3LO| anomalous dimension - - Returns - ------- @@ -221,6 +225,7 @@ index 29e67c19..08e768e3 100644 - is_polarized, - is_time_like, - n3lo_ad_variation, +- use_fhmruvv, - ) - else: - ker = quad_ker_qed( @@ -241,6 +246,7 @@ index 29e67c19..08e768e3 100644 - sv_mode, - is_threshold, - n3lo_ad_variation, +- use_fhmruvv, - ) - - # recombine everything @@ -265,6 +271,7 @@ index 29e67c19..08e768e3 100644 - is_polarized, - is_time_like, - n3lo_ad_variation, +- use_fhmruvv, -): - """Raw evolution kernel inside quad. - @@ -297,7 +304,9 @@ index 29e67c19..08e768e3 100644 - is_threshold : boolean - is this an itermediate threshold operator? - n3lo_ad_variation : tuple -- |N3LO| anomalous dimension variation ``(gg_var, gq_var, qg_var, qq_var)`` +- |N3LO| anomalous dimension variation ``(gg, gq, qg, qq, nsp, nsm, nsv)`` +- use_fhmruvv : bool +- if True use the |FHMRUVV| |N3LO| anomalous dimensions - - Returns - ------- @@ -316,7 +325,7 @@ index 29e67c19..08e768e3 100644 - gamma_singlet = ad_ut.gamma_singlet(order, ker_base.n, nf) - else: - gamma_singlet = ad_us.gamma_singlet( -- order, ker_base.n, nf, n3lo_ad_variation +- order, ker_base.n, nf, n3lo_ad_variation, use_fhmruvv - ) - # scale var exponentiated is directly applied on gamma - if sv_mode == sv.Modes.exponentiated: @@ -349,7 +358,9 @@ index 29e67c19..08e768e3 100644 - if is_time_like: - gamma_ns = ad_ut.gamma_ns(order, mode0, ker_base.n, nf) - else: -- gamma_ns = ad_us.gamma_ns(order, mode0, ker_base.n, nf) +- gamma_ns = ad_us.gamma_ns( +- order, mode0, ker_base.n, nf, n3lo_ad_variation, use_fhmruvv +- ) - if sv_mode == sv.Modes.exponentiated: - gamma_ns = sv.exponentiated.gamma_variation(gamma_ns, order, nf, L) - ker = ns.dispatcher( @@ -385,6 +396,7 @@ index 29e67c19..08e768e3 100644 - sv_mode, - is_threshold, - n3lo_ad_variation, +- use_fhmruvv, -): - """Raw evolution kernel inside quad. - @@ -425,7 +437,9 @@ index 29e67c19..08e768e3 100644 - is_threshold : boolean - is this an itermediate threshold operator? - n3lo_ad_variation : tuple -- |N3LO| anomalous dimension variation ``(gg_var, gq_var, qg_var, qq_var)`` +- |N3LO| anomalous dimension variation ``(gg, gq, qg, qq, nsp, nsm, nsv)`` +- use_fhmruvv : bool +- if True use the |FHMRUVV| |N3LO| anomalous dimensions - - Returns - ------- @@ -434,11 +448,13 @@ index 29e67c19..08e768e3 100644 - """ - # compute the actual evolution kernel for QEDxQCD - if ker_base.is_QEDsinglet: -- gamma_s = ad_us.gamma_singlet_qed(order, ker_base.n, nf, n3lo_ad_variation) +- gamma_s = ad_us.gamma_singlet_qed( +- order, ker_base.n, nf, n3lo_ad_variation, use_fhmruvv +- ) - # scale var exponentiated is directly applied on gamma - if sv_mode == sv.Modes.exponentiated: - gamma_s = sv.exponentiated.gamma_variation_qed( -- gamma_s, order, nf, L, alphaem_running +- gamma_s, order, nf, lepton_number(mu2_to), L, alphaem_running - ) - ker = qed_s.dispatcher( - order, @@ -462,11 +478,13 @@ index 29e67c19..08e768e3 100644 - ) @ np.ascontiguousarray(ker) - ker = select_QEDsinglet_element(ker, mode0, mode1) - elif ker_base.is_QEDvalence: -- gamma_v = ad_us.gamma_valence_qed(order, ker_base.n, nf) +- gamma_v = ad_us.gamma_valence_qed( +- order, ker_base.n, nf, n3lo_ad_variation, use_fhmruvv +- ) - # scale var exponentiated is directly applied on gamma - if sv_mode == sv.Modes.exponentiated: - gamma_v = sv.exponentiated.gamma_variation_qed( -- gamma_v, order, nf, L, alphaem_running +- gamma_v, order, nf, lepton_number(mu2_to), L, alphaem_running - ) - ker = qed_v.dispatcher( - order, @@ -487,11 +505,13 @@ index 29e67c19..08e768e3 100644 - ) @ np.ascontiguousarray(ker) - ker = select_QEDvalence_element(ker, mode0, mode1) - else: -- gamma_ns = ad_us.gamma_ns_qed(order, mode0, ker_base.n, nf) +- gamma_ns = ad_us.gamma_ns_qed( +- order, mode0, ker_base.n, nf, n3lo_ad_variation, use_fhmruvv +- ) - # scale var exponentiated is directly applied on gamma - if sv_mode == sv.Modes.exponentiated: - gamma_ns = sv.exponentiated.gamma_variation_qed( -- gamma_ns, order, nf, L, alphaem_running +- gamma_ns, order, nf, lepton_number(mu2_to), L, alphaem_running - ) - ker = qed_ns.dispatcher( - order, @@ -514,13 +534,12 @@ index 29e67c19..08e768e3 100644 - ) - return ker - -- - class Operator(sv.ModeMixin): - """Internal representation of a single EKO. -@@ -784,49 +305,6 @@ class Operator(sv.ModeMixin): - labels.extend(br.singlet_unified_labels) - return labels + OpMembers = Dict[OperatorLabel, OpMember] + """Map of all operators.""" +@@ -792,50 +295,6 @@ class Operator(sv.ScaleVariationModeMixin): + """Return the evolution method.""" + return ev_method(EvolutionMethod(self.config["method"])) - def quad_ker(self, label, logx, areas): - """Return partially initialized integrand function. @@ -545,7 +564,7 @@ index 29e67c19..08e768e3 100644 - order=self.order, - mode0=label[0], - mode1=label[1], -- method=self.config["method"], +- method=self.ev_method, - is_log=self.int_disp.log, - logx=logx, - areas=areas, @@ -563,12 +582,13 @@ index 29e67c19..08e768e3 100644 - n3lo_ad_variation=self.config["n3lo_ad_variation"], - is_polarized=self.config["polarized"], - is_time_like=self.config["time_like"], +- use_fhmruvv=self.config["use_fhmruvv"], - ) - def initialize_op_members(self): """Init all operators with the identity or zeros.""" eye = OpMember( -@@ -849,10 +327,7 @@ class Operator(sv.ModeMixin): +@@ -858,10 +317,7 @@ class Operator(sv.ScaleVariationModeMixin): else: self.op_members[n] = zero.copy() @@ -580,7 +600,7 @@ index 29e67c19..08e768e3 100644 """Run the integration for each grid point. Parameters -@@ -867,18 +342,56 @@ class Operator(sv.ModeMixin): +@@ -876,18 +332,56 @@ class Operator(sv.ScaleVariationModeMixin): """ column = [] k, logx = log_grid diff --git a/src/eko/evolution_operator/flavors.py b/src/eko/evolution_operator/flavors.py index fac94a608..087294744 100644 --- a/src/eko/evolution_operator/flavors.py +++ b/src/eko/evolution_operator/flavors.py @@ -246,6 +246,7 @@ def qed_rotation_parameters(nf): nd_h = nf - nu_h a = (nd_h / nu_h * nu_l - nd_l) / (nf - 1) b = nf / nu_h * nu_l / (nf - 1) + c, d, e, f = (np.nan,) * 4 if nf in [4, 6]: # heavy flavor is up-like c = nd_h / nu_h d = nu_l / (nf - 1) diff --git a/src/eko/evolution_operator/grid.py b/src/eko/evolution_operator/grid.py index d1ddb23bc..969750389 100644 --- a/src/eko/evolution_operator/grid.py +++ b/src/eko/evolution_operator/grid.py @@ -4,9 +4,10 @@ previously instantiated information and does the actual computation of the Q2s. """ + import logging -from dataclasses import astuple -from typing import Dict, List, Optional +from dataclasses import dataclass +from typing import Any, Dict, List, Optional import numpy as np import numpy.typing as npt @@ -17,9 +18,9 @@ from ..interpolation import InterpolatorDispatcher from ..io.runcards import Configs, Debug from ..io.types import EvolutionPoint as EPoint -from ..io.types import Order +from ..io.types import Order, SquaredScale from ..matchings import Atlas, Segment, flavor_shift, is_downward_path -from . import Operator, flavors, matching_condition, physical +from . import Operator, OpMembers, flavors, matching_condition, physical from .operator_matrix_element import OperatorMatrixElement logger = logging.getLogger(__name__) @@ -28,7 +29,16 @@ """In particular, only the ``operator`` and ``error`` fields are expected.""" -class OperatorGrid(sv.ModeMixin): +@dataclass(frozen=True) +class Managers: + """Set of steering objects.""" + + atlas: Atlas + couplings: Couplings + interpolator: InterpolatorDispatcher + + +class OperatorGrid(sv.ScaleVariationModeMixin): """Collection of evolution operators for several scales. The operator grid is the driver class of the evolution. @@ -51,7 +61,6 @@ def __init__( masses: List[float], mass_scheme, thresholds_ratios: List[float], - intrinsic_flavors: list, xif: float, n3lo_ad_variation: tuple, matching_order: Order, @@ -63,9 +72,8 @@ def __init__( use_fhmruvv: bool, ): # check - config = {} + config: Dict[str, Any] = {} config["order"] = order - config["intrinsic_range"] = intrinsic_flavors config["xif2"] = xif**2 config["HQ"] = mass_scheme config["ModSV"] = configs.scvar_method @@ -94,13 +102,13 @@ def __init__( self.config = config self.q2_grid = mu2grid - self.managers = dict( - thresholds_config=atlas, + self.managers = Managers( + atlas=atlas, couplings=couplings, - interpol_dispatcher=interpol_dispatcher, + interpolator=interpol_dispatcher, ) - self._threshold_operators = {} - self._matching_operators = {} + self._threshold_operators: Dict[Segment, Operator] = {} + self._matching_operators: Dict[SquaredScale, OpMembers] = {} def get_threshold_operators(self, path: List[Segment]) -> List[Operator]: """Generate the threshold operators. @@ -122,7 +130,6 @@ def get_threshold_operators(self, path: List[Segment]) -> List[Operator]: is_downward = is_downward_path(path) shift = flavor_shift(is_downward) for seg in path[:-1]: - new_op_key = astuple(seg) kthr = self.config["thresholds_ratios"][seg.nf - shift] ome = OperatorMatrixElement( self.config, @@ -133,13 +140,13 @@ def get_threshold_operators(self, path: List[Segment]) -> List[Operator]: np.log(kthr), self.config["HQ"] == "MSBAR", ) - if new_op_key not in self._threshold_operators: + if seg not in self._threshold_operators: # Compute the operator and store it logger.info("Prepare threshold operator") op_th = Operator(self.config, self.managers, seg, is_threshold=True) op_th.compute() - self._threshold_operators[new_op_key] = op_th - thr_ops.append(self._threshold_operators[new_op_key]) + self._threshold_operators[seg] = op_th + thr_ops.append(self._threshold_operators[seg]) # Compute the matching conditions and store it if seg.target not in self._matching_operators: @@ -158,7 +165,7 @@ def generate(self, q2: EPoint) -> OpDict: """ # The lists of areas as produced by the thresholds - path = self.managers["thresholds_config"].path(q2) + path = self.managers.atlas.path(q2) # Prepare the path for the composition of the operator thr_ops = self.get_threshold_operators(path) # we start composing with the highest operator ... @@ -166,16 +173,15 @@ def generate(self, q2: EPoint) -> OpDict: operator.compute() is_downward = is_downward_path(path) - intrinsic_range = [4, 5, 6] if is_downward else self.config["intrinsic_range"] qed = self.config["order"][1] > 0 final_op = physical.PhysicalOperator.ad_to_evol_map( - operator.op_members, operator.nf, operator.q2_to, intrinsic_range, qed + operator.op_members, operator.nf, operator.q2_to, qed ) # and multiply the lower ones from the right for op in reversed(list(thr_ops)): phys_op = physical.PhysicalOperator.ad_to_evol_map( - op.op_members, op.nf, op.q2_to, intrinsic_range, qed + op.op_members, op.nf, op.q2_to, qed ) # join with the basis rotation, since matching requires c+ (or likewise) @@ -184,7 +190,6 @@ def generate(self, q2: EPoint) -> OpDict: self._matching_operators[op.q2_to], nf_match, op.q2_to, - intrinsic_range=intrinsic_range, qed=qed, ) if is_downward: diff --git a/src/eko/evolution_operator/matching_condition.py b/src/eko/evolution_operator/matching_condition.py index 8df4775ff..e84ef4d2e 100644 --- a/src/eko/evolution_operator/matching_condition.py +++ b/src/eko/evolution_operator/matching_condition.py @@ -20,8 +20,7 @@ def split_ad_to_evol_map( op_members, nf, q2_thr, - intrinsic_range, - qed, + qed=False, ): """ Create the instance from the |OME|. @@ -35,8 +34,6 @@ def split_ad_to_evol_map( number of active flavors *below* the threshold q2_thr: float threshold value - intrinsic_range : list - list of intrinsic quark pids qed : bool activate qed """ @@ -78,27 +75,26 @@ def split_ad_to_evol_map( ) # intrinsic matching - if len(intrinsic_range) != 0: - op_id = member.OpMember.id_like(op_members[(200, 200)]) - for intr_fl in intrinsic_range: - ihq = br.quark_names[intr_fl - 1] # find name - if intr_fl > nf + 1: - # keep the higher quarks as they are - m[f"{ihq}+.{ihq}+"] = op_id.copy() - m[f"{ihq}-.{ihq}-"] = op_id.copy() - elif intr_fl == nf + 1: - # match the missing contribution from h+ and h- - m.update( - { - f"{ihq}+.{ihq}+": op_members[ - (br.matching_hplus_pid, br.matching_hplus_pid) - ], - f"S.{ihq}+": op_members[(100, br.matching_hplus_pid)], - f"g.{ihq}+": op_members[(21, br.matching_hplus_pid)], - f"{ihq}-.{ihq}-": op_members[ - (br.matching_hminus_pid, br.matching_hminus_pid) - ], - # f"V.{ihq}-": op_members[(200, br.matching_hminus_pid)], - } - ) + op_id = member.OpMember.id_like(op_members[(200, 200)]) + for intr_fl in [4, 5, 6]: + ihq = br.quark_names[intr_fl - 1] # find name + if intr_fl > nf + 1: + # keep the higher quarks as they are + m[f"{ihq}+.{ihq}+"] = op_id.copy() + m[f"{ihq}-.{ihq}-"] = op_id.copy() + elif intr_fl == nf + 1: + # match the missing contribution from h+ and h- + m.update( + { + f"{ihq}+.{ihq}+": op_members[ + (br.matching_hplus_pid, br.matching_hplus_pid) + ], + f"S.{ihq}+": op_members[(100, br.matching_hplus_pid)], + f"g.{ihq}+": op_members[(21, br.matching_hplus_pid)], + f"{ihq}-.{ihq}-": op_members[ + (br.matching_hminus_pid, br.matching_hminus_pid) + ], + # f"V.{ihq}-": op_members[(200, br.matching_hminus_pid)], + } + ) return cls.promote_names(m, q2_thr) diff --git a/src/eko/evolution_operator/operator_matrix_element.py b/src/eko/evolution_operator/operator_matrix_element.py index 202fd18d9..022f80730 100644 --- a/src/eko/evolution_operator/operator_matrix_element.py +++ b/src/eko/evolution_operator/operator_matrix_element.py @@ -1,6 +1,7 @@ """The |OME| for the non-trivial matching conditions in the |VFNS| evolution.""" import copy +import enum import functools import logging @@ -20,6 +21,33 @@ logger = logging.getLogger(__name__) +class MatchingMethods(enum.IntEnum): + """Enumerate matching methods.""" + + FORWARD = enum.auto() + BACKWARD_EXACT = enum.auto() + BACKWARD_EXPANDED = enum.auto() + + +def matching_method(s: InversionMethod) -> MatchingMethods: + """Return the matching method. + + Parameters + ---------- + s : + string representation + + Returns + ------- + i : + int representation + + """ + if s is not None: + return MatchingMethods["BACKWARD_" + s.value.upper()] + return MatchingMethods.FORWARD + + @nb.njit(cache=True) def build_ome(A, matching_order, a_s, backward_method): r"""Construct the matching expansion in :math:`a_s` with the appropriate method. @@ -32,7 +60,7 @@ def build_ome(A, matching_order, a_s, backward_method): perturbation matching order a_s : float strong coupling, needed only for the exact inverse - backward_method : InversionMethod or None + backward_method : MatchingMethods empty or method for inverting the matching condition (exact or expanded) Returns @@ -51,7 +79,7 @@ def build_ome(A, matching_order, a_s, backward_method): ome = np.eye(len(A[0]), dtype=np.complex_) A = A[:, :, :] A = np.ascontiguousarray(A) - if backward_method is InversionMethod.EXPANDED: + if backward_method is MatchingMethods.BACKWARD_EXPANDED: # expended inverse if matching_order[0] >= 1: ome -= a_s * A[0] @@ -68,7 +96,7 @@ def build_ome(A, matching_order, a_s, backward_method): if matching_order[0] >= 3: ome += a_s**3 * A[2] # need inverse exact ? so add the missing pieces - if backward_method is InversionMethod.EXACT: + if backward_method is MatchingMethods.BACKWARD_EXACT: ome = np.linalg.inv(ome) return ome @@ -199,7 +227,7 @@ class OperatorMatrixElement(Operator): log_label = "Matching" # complete list of possible matching operators labels - full_labels = [ + full_labels = ( *br.singlet_labels, (br.matching_hplus_pid, 21), (br.matching_hplus_pid, 100), @@ -210,17 +238,15 @@ class OperatorMatrixElement(Operator): (200, br.matching_hminus_pid), (br.matching_hminus_pid, 200), (br.matching_hminus_pid, br.matching_hminus_pid), - ] + ) # still valid in QED since Sdelta and Vdelta matchings are diagonal full_labels_qed = copy.deepcopy(full_labels) def __init__(self, config, managers, nf, q2, is_backward, L, is_msbar): super().__init__(config, managers, Segment(q2, q2, nf)) - self.backward_method = config["backward_inversion"] if is_backward else None - if is_backward: - self.is_intrinsic = True - else: - self.is_intrinsic = bool(len(config["intrinsic_range"]) != 0) + self.backward_method = matching_method( + config["backward_inversion"] if is_backward else None + ) self.L = L self.is_msbar = is_msbar # Note for the moment only QCD matching is implemented @@ -241,11 +267,10 @@ def labels(self): logger.warning("%s: skipping non-singlet sector", self.log_label) else: labels.append((200, 200)) - if self.is_intrinsic or self.backward_method is not None: - # intrinsic labels, which are not zero at NLO - labels.append((br.matching_hminus_pid, br.matching_hminus_pid)) - # These contributions are always 0 for the moment - # labels.extend([(200, br.matching_hminus_pid), (br.matching_hminus_pid, 200)]) + # intrinsic labels, which are not zero at NLO + labels.append((br.matching_hminus_pid, br.matching_hminus_pid)) + # These contributions are always 0 for the moment + # labels.extend([(200, br.matching_hminus_pid), (br.matching_hminus_pid, 200)]) # same for singlet if self.config["debug_skip_singlet"]: logger.warning("%s: skipping singlet sector", self.log_label) @@ -257,14 +282,13 @@ def labels(self): (br.matching_hplus_pid, 100), ] ) - if self.is_intrinsic or self.backward_method is not None: - labels.extend( - [ - (21, br.matching_hplus_pid), - (100, br.matching_hplus_pid), - (br.matching_hplus_pid, br.matching_hplus_pid), - ] - ) + labels.extend( + [ + (21, br.matching_hplus_pid), + (100, br.matching_hplus_pid), + (br.matching_hplus_pid, br.matching_hplus_pid), + ] + ) return labels def quad_ker(self, label, logx, areas): @@ -309,7 +333,7 @@ def a_s(self): Note that here you need to use :math:`a_s^{n_f+1}` """ - sc = self.managers["couplings"] + sc = self.managers.couplings return sc.a_s( self.q2_from * (self.xif2 if self.sv_mode == sv.Modes.exponentiated else 1.0), @@ -329,7 +353,7 @@ def compute(self): self.log_label, self.order[0], self.order[1], - self.backward_method, + MatchingMethods(self.backward_method).name, ) self.integrate() diff --git a/src/eko/evolution_operator/physical.py b/src/eko/evolution_operator/physical.py index 1ee501a2a..f8a3545d8 100644 --- a/src/eko/evolution_operator/physical.py +++ b/src/eko/evolution_operator/physical.py @@ -1,4 +1,5 @@ """Contains the :class:`PhysicalOperator` class.""" + from .. import basis_rotation as br from .. import member @@ -22,7 +23,7 @@ class PhysicalOperator(member.OperatorBase): """ @classmethod - def ad_to_evol_map(cls, op_members, nf, q2_final, intrinsic_range, qed): + def ad_to_evol_map(cls, op_members, nf, q2_final, qed=False): """ Obtain map between the 3-dimensional anomalous dimension basis and the 4-dimensional evolution basis. @@ -34,8 +35,6 @@ def ad_to_evol_map(cls, op_members, nf, q2_final, intrinsic_range, qed): operator members in anomalous dimension basis nf : int number of active light flavors - intrinsic_range : sequence - intrinsic heavy flavors qed : bool activate qed @@ -93,15 +92,14 @@ def ad_to_evol_map(cls, op_members, nf, q2_final, intrinsic_range, qed): m["Tu8.Tu8"] = op_members[(br.non_singlet_pids_map["ns+u"], 0)] m["Vu8.Vu8"] = op_members[(br.non_singlet_pids_map["ns-u"], 0)] # deal with intrinsic heavy quark PDFs - if intrinsic_range is not None: - hqfl = "cbt" - op_id = member.OpMember.id_like(op_members[(21, 21)]) - for intr_fl in intrinsic_range: - if intr_fl <= nf: # light quarks are not intrinsic - continue - hq = hqfl[intr_fl - 4] # find name - # intrinsic means no evolution, i.e. they are evolving with the identity - m[f"{hq}+.{hq}+"] = op_id.copy() - m[f"{hq}-.{hq}-"] = op_id.copy() + hqfl = "cbt" + op_id = member.OpMember.id_like(op_members[(21, 21)]) + for intr_fl in [4, 5, 6]: + if intr_fl <= nf: # light quarks are not intrinsic + continue + hq = hqfl[intr_fl - 4] # find name + # intrinsic means no evolution, i.e. they are evolving with the identity + m[f"{hq}+.{hq}+"] = op_id.copy() + m[f"{hq}-.{hq}-"] = op_id.copy() # map key to MemberName return cls.promote_names(m, q2_final) diff --git a/src/eko/evolution_operator/quad_ker.py b/src/eko/evolution_operator/quad_ker.py index 9303f8aa9..798cebe6b 100644 --- a/src/eko/evolution_operator/quad_ker.py +++ b/src/eko/evolution_operator/quad_ker.py @@ -11,7 +11,6 @@ from .. import scale_variations as sv from ..kernels import non_singlet as ns from ..kernels import singlet as s -from ..kernels import utils from ..matchings import Segment from ..member import OpMember @@ -69,6 +68,7 @@ def select_singlet_element(ker, mode0, mode1): nb.types.bool_, # is_threshold ), cache=True, + nopython=True, ) def cb_quad_ker_qcd( re_gamma_raw, @@ -104,7 +104,7 @@ def cb_quad_ker_qcd( areas = nb.carray(areas_raw, (areas_x, areas_y)) pj = interpolation.evaluate_grid(n, is_log, logx, areas) # TODO recover parameters - method = "iterate-expanded" + method = "iterate-exact" sv_mode = sv.Modes.exponentiated order = (order_qcd, 0) ev_op_max_order = (ev_op_max_order_qcd, 0) diff --git a/src/eko/gamma.py b/src/eko/gamma.py index b71ce843a..668219a75 100644 --- a/src/eko/gamma.py +++ b/src/eko/gamma.py @@ -2,6 +2,7 @@ See :doc:`pQCD ingredients `. """ + import numba as nb from eko.constants import zeta3, zeta4, zeta5 diff --git a/src/eko/interpolation.py b/src/eko/interpolation.py index 170eb8892..ef03c7fa0 100644 --- a/src/eko/interpolation.py +++ b/src/eko/interpolation.py @@ -4,6 +4,7 @@ Upon construction the dispatcher generates a number of functions to evaluate the interpolator. """ + import logging import math from typing import Sequence, Union diff --git a/src/eko/io/bases.py b/src/eko/io/bases.py deleted file mode 100644 index 97a28dc36..000000000 --- a/src/eko/io/bases.py +++ /dev/null @@ -1,117 +0,0 @@ -"""Operators bases.""" -from dataclasses import dataclass, fields -from typing import Optional - -import numpy as np -import numpy.typing as npt - -from .. import basis_rotation as br -from .. import interpolation -from .dictlike import DictLike - - -@dataclass -class Bases(DictLike): - """Rotations related configurations. - - Here "Rotation" is intended in a broad sense: it includes both rotations in - flavor space (labeled with suffix `pids`) and in :math:`x`-space (labeled - with suffix `grid`). - Rotations in :math:`x`-space correspond to reinterpolate the result on a - different basis of polynomials. - - """ - - xgrid: interpolation.XGrid - """Internal momentum fraction grid.""" - _targetgrid: Optional[interpolation.XGrid] = None - _inputgrid: Optional[interpolation.XGrid] = None - _targetpids: Optional[npt.NDArray] = None - _inputpids: Optional[npt.NDArray] = None - - def __post_init__(self): - """Adjust types when loaded from serialized object.""" - for attr in ("xgrid", "_inputgrid", "_targetgrid"): - value = getattr(self, attr) - if value is None: - continue - if isinstance(value, (np.ndarray, list)): - setattr(self, attr, interpolation.XGrid(value)) - elif not isinstance(value, interpolation.XGrid): - setattr(self, attr, interpolation.XGrid.load(value)) - - @property - def pids(self): - """Internal flavor basis, used for computation.""" - return np.array(br.flavor_basis_pids) - - @property - def inputpids(self) -> npt.NDArray: - """Provide pids expected on the input PDF.""" - if self._inputpids is None: - return self.pids - return self._inputpids - - @inputpids.setter - def inputpids(self, value): - self._inputpids = value - - @property - def targetpids(self) -> npt.NDArray: - """Provide pids corresponding to the output PDF.""" - if self._targetpids is None: - return self.pids - return self._targetpids - - @targetpids.setter - def targetpids(self, value): - self._targetpids = value - - @property - def inputgrid(self) -> interpolation.XGrid: - """Provide :math:`x`-grid expected on the input PDF.""" - if self._inputgrid is None: - return self.xgrid - return self._inputgrid - - @inputgrid.setter - def inputgrid(self, value: interpolation.XGrid): - self._inputgrid = value - - @property - def targetgrid(self) -> interpolation.XGrid: - """Provide :math:`x`-grid corresponding to the output PDF.""" - if self._targetgrid is None: - return self.xgrid - return self._targetgrid - - @targetgrid.setter - def targetgrid(self, value: interpolation.XGrid): - self._targetgrid = value - - @classmethod - def from_dict(cls, dictionary: dict): - """Deserialize rotation. - - Load from full state, but with public names. - - """ - d = dictionary.copy() - for f in fields(cls): - if f.name.startswith("_"): - d[f.name] = d.pop(f.name[1:]) - return cls._from_dict(d) - - @property - def raw(self): - """Serialize rotation. - - Pass through interfaces, access internal values but with a public name. - - """ - d = self._raw() - for key in d.copy(): - if key.startswith("_"): - d[key[1:]] = d.pop(key) - - return d diff --git a/src/eko/io/dictlike.py b/src/eko/io/dictlike.py index 29f947ab2..da60066b3 100644 --- a/src/eko/io/dictlike.py +++ b/src/eko/io/dictlike.py @@ -4,6 +4,7 @@ codified in more native structures. """ + import copy import dataclasses import enum diff --git a/src/eko/io/exceptions.py b/src/eko/io/exceptions.py index b924f8057..13f952bda 100644 --- a/src/eko/io/exceptions.py +++ b/src/eko/io/exceptions.py @@ -1,4 +1,5 @@ """IO generic exceptions.""" + import os diff --git a/src/eko/io/inventory.py b/src/eko/io/inventory.py index efdd2e9b0..9b25ad75d 100644 --- a/src/eko/io/inventory.py +++ b/src/eko/io/inventory.py @@ -1,8 +1,9 @@ """Manage assets used during computation.""" + import base64 from dataclasses import asdict, dataclass, field from pathlib import Path -from typing import Dict, Generic, Optional, Type, TypeVar +from typing import Dict, Generic, Literal, Optional, Type, TypeVar import yaml @@ -10,7 +11,7 @@ from .items import Header, Operator NBYTES = 8 -ENDIANNESS = "little" +ENDIANNESS: Literal["little", "big"] = "little" HEADER_EXT = ".yaml" ARRAY_EXT = [".npy", ".npz"] diff --git a/src/eko/io/items.py b/src/eko/io/items.py index cbc7591e0..8d6d6eb2d 100644 --- a/src/eko/io/items.py +++ b/src/eko/io/items.py @@ -1,4 +1,5 @@ """Inventory items definition.""" + import io from dataclasses import asdict, dataclass from typing import BinaryIO, Optional, Union diff --git a/src/eko/io/legacy.py b/src/eko/io/legacy.py index 1df9941b1..41dc8af85 100644 --- a/src/eko/io/legacy.py +++ b/src/eko/io/legacy.py @@ -1,7 +1,7 @@ """Support legacy storage formats.""" + import dataclasses import io -import os import pathlib import tarfile import tempfile @@ -12,18 +12,26 @@ import numpy as np import yaml -from eko.interpolation import XGrid -from eko.io.runcards import flavored_mugrid -from eko.quantities.heavy_quarks import HeavyInfo, HeavyQuarkMasses, MatchingRatios - +from ..interpolation import XGrid +from ..io.runcards import flavored_mugrid +from ..quantities.heavy_quarks import ( + HeavyInfo, + HeavyQuarkMasses, + MatchingRatios, + QuarkMassScheme, +) from . import raw from .dictlike import DictLike from .struct import EKO, Operator from .types import EvolutionPoint as EPoint -from .types import RawCard +from .types import RawCard, ReferenceRunning + +_MC = 1.51 +_MB = 4.92 +_MT = 172.5 -def load_tar(source: os.PathLike, dest: os.PathLike, errors: bool = False): +def load_tar(source: pathlib.Path, dest: pathlib.Path, errors: bool = False): """Load tar representation from file. Compliant with :meth:`dump_tar` output. @@ -38,8 +46,8 @@ def load_tar(source: os.PathLike, dest: os.PathLike, errors: bool = False): whether to load also errors (default ``False``) """ - with tempfile.TemporaryDirectory() as tmpdir: - tmpdir = pathlib.Path(tmpdir) + with tempfile.TemporaryDirectory() as tmpdirr: + tmpdir = pathlib.Path(tmpdirr) with tarfile.open(source, "r") as tar: raw.safe_extractall(tar, tmpdir) @@ -59,7 +67,7 @@ def load_tar(source: os.PathLike, dest: os.PathLike, errors: bool = False): if op5 is None: op5 = metaold["mu2grid"] grid = op5to4( - flavored_mugrid(op5, theory.heavy.masses, theory.heavy.matching_ratios), arrays + flavored_mugrid(op5, [_MC, _MB, _MT], theory.heavy.matching_ratios), arrays ) with EKO.create(dest) as builder: @@ -91,11 +99,14 @@ class PseudoTheory(DictLike): def from_old(cls, old: RawCard): """Load from old metadata.""" heavy = HeavyInfo( - num_flavs_init=4, - num_flavs_max_pdf=None, - intrinsic_flavors=None, - masses=HeavyQuarkMasses([1.51, 4.92, 172.5]), - masses_scheme=None, + masses=HeavyQuarkMasses( + [ + ReferenceRunning([_MC, np.inf]), + ReferenceRunning([_MB, np.inf]), + ReferenceRunning([_MT, np.inf]), + ] + ), + masses_scheme=QuarkMassScheme.POLE, matching_ratios=MatchingRatios([1.0, 1.0, 1.0]), ) return cls(heavy=heavy) @@ -110,7 +121,7 @@ class PseudoOperator(DictLike): """ - mu20: float + init: EPoint evolgrid: List[EPoint] xgrid: XGrid configs: dict @@ -118,13 +129,13 @@ class PseudoOperator(DictLike): @classmethod def from_old(cls, old: RawCard): """Load from old metadata.""" - mu20 = float(old["q2_ref"]) + mu0 = float(np.sqrt(float(old["q2_ref"]))) mu2list = old.get("Q2grid") if mu2list is None: mu2list = old["mu2grid"] mu2grid = np.array(mu2list) evolgrid = flavored_mugrid( - np.sqrt(mu2grid).tolist(), [1.51, 4.92, 172.5], [1, 1, 1] + np.sqrt(mu2grid).tolist(), [_MC, _MB, _MT], [1, 1, 1] ) xgrid = XGrid(old["interpolation_xgrid"]) @@ -134,7 +145,7 @@ def from_old(cls, old: RawCard): interpolation_is_log=old.get("interpolation_is_log"), ) - return cls(mu20=mu20, evolgrid=evolgrid, xgrid=xgrid, configs=configs) + return cls(init=(mu0, 4), evolgrid=evolgrid, xgrid=xgrid, configs=configs) ARRAY_SUFFIX = ".npy.lz4" diff --git a/src/eko/io/manipulate.py b/src/eko/io/manipulate.py index e9cc89538..362c8d77d 100644 --- a/src/eko/io/manipulate.py +++ b/src/eko/io/manipulate.py @@ -1,7 +1,9 @@ """Manipulate output generate by EKO.""" + +import copy import logging import warnings -from typing import Callable, Optional, Union +from typing import Callable, Optional import numpy as np import numpy.typing as npt @@ -9,7 +11,7 @@ from .. import basis_rotation as br from .. import interpolation from ..interpolation import XGrid -from .struct import EKO, Operator +from .struct import Operator logger = logging.getLogger(__name__) @@ -18,13 +20,13 @@ SIMGRID_ROTATION = "ij,ajbk,kl->aibl" """Simultaneous grid rotation contraction indices.""" -Basis = Union[XGrid, npt.NDArray] - -def rotation(new: Optional[Basis], old: Basis, check: Callable, compute: Callable): +def rotation( + new: Optional[XGrid], old: XGrid, check: Callable, compute: Callable +) -> npt.NDArray: """Define grid rotation. - This function returns the new grid to be assigned and the rotation computed, + This function returns the necessary rotation, if the checks for a non-trivial new grid are passed. However, the check and the computation are delegated respectively to the @@ -32,21 +34,23 @@ def rotation(new: Optional[Basis], old: Basis, check: Callable, compute: Callabl """ if new is None: - return old, None + return None if check(new, old): warnings.warn("The new grid is close to the current one") - return old, None + return None - return new, compute(new, old) + return compute(new, old) -def xgrid_check(new: Optional[XGrid], old: XGrid): +def xgrid_check(new: Optional[XGrid], old: XGrid) -> bool: """Check validity of new xgrid.""" return new is not None and len(new) == len(old) and np.allclose(new.raw, old.raw) -def xgrid_compute_rotation(new: XGrid, old: XGrid, interpdeg: int, swap: bool = False): +def xgrid_compute_rotation( + new: XGrid, old: XGrid, interpdeg: int, swap: bool = False +) -> npt.NDArray: """Compute rotation from old to new xgrid. By default, the roation is computed for a target xgrid. Whether the function @@ -61,81 +65,66 @@ def xgrid_compute_rotation(new: XGrid, old: XGrid, interpdeg: int, swap: bool = def xgrid_reshape( - eko: EKO, + elem: Operator, + xgrid: XGrid, + interpdeg: int, targetgrid: Optional[XGrid] = None, inputgrid: Optional[XGrid] = None, -): - """Reinterpolate operators on output and/or input grids. +) -> Operator: + """Reinterpolate the operator on output and/or input grid(s). Target corresponds to the output PDF. - - The operation is in-place. - """ - eko.assert_permissions(write=True) - # calling with no arguments is an error if targetgrid is None and inputgrid is None: raise ValueError("Nor inputgrid nor targetgrid was given") - interpdeg = eko.operator_card.configs.interpolation_polynomial_degree check = xgrid_check crot = xgrid_compute_rotation # construct matrices - newtarget, targetrot = rotation( + targetrot = rotation( targetgrid, - eko.bases.targetgrid, + xgrid, check, lambda new, old: crot(new, old, interpdeg), ) - newinput, inputrot = rotation( + inputrot = rotation( inputgrid, - eko.bases.inputgrid, + xgrid, check, lambda new, old: crot(new, old, interpdeg, swap=True), ) - # after the checks: if there is still nothing to do, skip if targetrot is None and inputrot is None: logger.debug("Nothing done.") - return - # if no rotation is done, the grids are not modified - if targetrot is not None: - eko.bases.targetgrid = newtarget - if inputrot is not None: - eko.bases.inputgrid = newinput + return copy.deepcopy(elem) # build new grid - for ep, elem in eko.items(): - assert elem is not None - - operands = [elem.operator] - operands_errs = [elem.error] + operands = [elem.operator] + operands_errs = [elem.error] - if targetrot is not None and inputrot is None: - contraction = TARGETGRID_ROTATION - elif inputrot is not None and targetrot is None: - contraction = INPUTGRID_ROTATION - else: - contraction = SIMGRID_ROTATION + if targetrot is not None and inputrot is None: + contraction = TARGETGRID_ROTATION + elif inputrot is not None and targetrot is None: + contraction = INPUTGRID_ROTATION + else: + contraction = SIMGRID_ROTATION - if targetrot is not None: - operands.insert(0, targetrot) - operands_errs.insert(0, targetrot) - if inputrot is not None: - operands.append(inputrot) - operands_errs.append(inputrot) - - new_operator = np.einsum(contraction, *operands, optimize="optimal") - if elem.error is not None: - new_error = np.einsum(contraction, *operands_errs, optimize="optimal") - else: - new_error = None + if targetrot is not None: + operands.insert(0, targetrot) + operands_errs.insert(0, targetrot) + if inputrot is not None: + operands.append(inputrot) + operands_errs.append(inputrot) - eko[ep] = Operator(operator=new_operator, error=new_error) + new_operator = np.einsum(contraction, *operands, optimize="optimal") + if elem.error is not None: + new_error = np.einsum(contraction, *operands_errs, optimize="optimal") + else: + new_error = None - eko.update() + return Operator(operator=new_operator, error=new_error) TARGETPIDS_ROTATION = "ca,ajbk->cjbk" @@ -145,107 +134,86 @@ def xgrid_reshape( def flavor_reshape( - eko: EKO, + elem: Operator, targetpids: Optional[npt.NDArray] = None, inputpids: Optional[npt.NDArray] = None, - update: bool = True, -): - """Change the operators to have in the output targetpids and/or in the input inputpids. - - The operation is in-place. +) -> Operator: + """Change the operator to have in the output targetpids and/or in the input inputpids. Parameters ---------- - eko : + elem : the operator to be rotated targetpids : target rotation specified in the flavor basis inputpids : input rotation specified in the flavor basis - update : - update :class:`~eko.io.struct.EKO` metadata after writing """ - eko.assert_permissions(write=True) - # calling with no arguments is an error if targetpids is None and inputpids is None: raise ValueError("Nor inputpids nor targetpids was given") # now check to the current status if targetpids is not None and np.allclose( - targetpids, np.eye(len(eko.bases.targetpids)) + targetpids, np.eye(elem.operator.shape[0]) ): targetpids = None warnings.warn("The new targetpids is close to current basis") - if inputpids is not None and np.allclose( - inputpids, np.eye(len(eko.bases.inputpids)) - ): + if inputpids is not None and np.allclose(inputpids, np.eye(elem.operator.shape[2])): inputpids = None warnings.warn("The new inputpids is close to current basis") # after the checks: if there is still nothing to do, skip if targetpids is None and inputpids is None: logger.debug("Nothing done.") - return + return copy.deepcopy(elem) # flip input around + inv_inputpids = np.zeros_like(inputpids) if inputpids is not None: inv_inputpids = np.linalg.inv(inputpids) # build new grid - for q2, elem in eko.items(): - ops = elem.operator - errs = elem.error - if targetpids is not None and inputpids is None: - ops = np.einsum(TARGETPIDS_ROTATION, targetpids, ops, optimize="optimal") - errs = ( - np.einsum(TARGETPIDS_ROTATION, targetpids, errs, optimize="optimal") - if errs is not None - else None - ) - elif inputpids is not None and targetpids is None: - ops = np.einsum(INPUTPIDS_ROTATION, ops, inv_inputpids, optimize="optimal") - errs = ( - np.einsum(INPUTPIDS_ROTATION, errs, inv_inputpids, optimize="optimal") - if errs is not None - else None - ) - else: - ops = np.einsum( - SIMPIDS_ROTATION, targetpids, ops, inv_inputpids, optimize="optimal" - ) - errs = ( - np.einsum( - SIMPIDS_ROTATION, - targetpids, - errs, - inv_inputpids, - optimize="optimal", - ) - if errs is not None - else None + ops = elem.operator + errs = elem.error + if targetpids is not None and inputpids is None: + ops = np.einsum(TARGETPIDS_ROTATION, targetpids, ops, optimize="optimal") + errs = ( + np.einsum(TARGETPIDS_ROTATION, targetpids, errs, optimize="optimal") + if errs is not None + else None + ) + elif inputpids is not None and targetpids is None: + ops = np.einsum(INPUTPIDS_ROTATION, ops, inv_inputpids, optimize="optimal") + errs = ( + np.einsum(INPUTPIDS_ROTATION, errs, inv_inputpids, optimize="optimal") + if errs is not None + else None + ) + else: + ops = np.einsum( + SIMPIDS_ROTATION, targetpids, ops, inv_inputpids, optimize="optimal" + ) + errs = ( + np.einsum( + SIMPIDS_ROTATION, + targetpids, + errs, + inv_inputpids, + optimize="optimal", ) + if errs is not None + else None + ) - eko[q2] = Operator(operator=ops, error=errs) - - # drop PIDs - keeping them int nevertheless - # there is no meaningful way to set them in general, after rotation - if inputpids is not None: - eko.bases.inputpids = np.array([0] * len(eko.bases.inputpids)) - if targetpids is not None: - eko.bases.targetpids = np.array([0] * len(eko.bases.targetpids)) - - if update: - eko.update() + return Operator(operator=ops, error=errs) -def to_evol(eko: EKO, source: bool = True, target: bool = False): +def to_evol(elem: Operator, source: bool = True, target: bool = False) -> Operator: """Rotate the operator into evolution basis. - This assigns also the pids. The operation is in-place. - Parameters ---------- - eko : + elem : the operator to be rotated source : rotate on the input tensor @@ -256,27 +224,15 @@ def to_evol(eko: EKO, source: bool = True, target: bool = False): # rotate inputpids = br.rotate_flavor_to_evolution if source else None targetpids = br.rotate_flavor_to_evolution if target else None - # prevent metadata update, since flavor_reshape has not enough information - # to determine inpupids and targetpids, and they will be updated after the - # call - flavor_reshape(eko, inputpids=inputpids, targetpids=targetpids, update=False) - # assign pids - if source: - eko.bases.inputpids = inputpids - if target: - eko.bases.targetpids = targetpids - - eko.update() + return flavor_reshape(elem, inputpids=inputpids, targetpids=targetpids) -def to_uni_evol(eko: EKO, source: bool = True, target: bool = False): +def to_uni_evol(elem: Operator, source: bool = True, target: bool = False) -> Operator: """Rotate the operator into evolution basis. - This assigns also the pids. The operation is in-place. - Parameters ---------- - eko : + elem : the operator to be rotated source : rotate on the input tensor @@ -287,14 +243,4 @@ def to_uni_evol(eko: EKO, source: bool = True, target: bool = False): # rotate inputpids = br.rotate_flavor_to_unified_evolution if source else None targetpids = br.rotate_flavor_to_unified_evolution if target else None - # prevent metadata update, since flavor_reshape has not enough information - # to determine inpupids and targetpids, and they will be updated after the - # call - flavor_reshape(eko, inputpids=inputpids, targetpids=targetpids, update=False) - # assign pids - if source: - eko.bases.inputpids = inputpids - if target: - eko.bases.targetpids = targetpids - - eko.update() + return flavor_reshape(elem, inputpids=inputpids, targetpids=targetpids) diff --git a/src/eko/io/metadata.py b/src/eko/io/metadata.py index 857f03b25..c95bbfcb5 100644 --- a/src/eko/io/metadata.py +++ b/src/eko/io/metadata.py @@ -1,4 +1,5 @@ """Define `eko.EKO` metadata.""" + import logging import os import pathlib @@ -8,7 +9,7 @@ import yaml from .. import version as vmod -from .bases import Bases +from ..interpolation import XGrid from .dictlike import DictLike from .paths import InternalPaths from .types import EvolutionPoint as EPoint @@ -34,10 +35,8 @@ class Metadata(DictLike): origin: EPoint """Inital scale.""" - bases: Bases - """Manipulation information, describing the current status of the EKO (e.g. - `inputgrid` and `targetgrid`). - """ + xgrid: XGrid + """Interpolation grid""" # tagging information _path: Optional[pathlib.Path] = None """Path to the open dir.""" diff --git a/src/eko/io/paths.py b/src/eko/io/paths.py index 67100fdaa..f4d5fc51f 100644 --- a/src/eko/io/paths.py +++ b/src/eko/io/paths.py @@ -1,4 +1,5 @@ """Define paths inside an `eko.EKO` object.""" + import pathlib from dataclasses import dataclass diff --git a/src/eko/io/raw.py b/src/eko/io/raw.py index fe969374a..a71d3d745 100644 --- a/src/eko/io/raw.py +++ b/src/eko/io/raw.py @@ -5,6 +5,7 @@ file, as opposed to structured YAML representing a specific runcard. """ + import os from pathlib import Path from tarfile import TarFile, TarInfo diff --git a/src/eko/io/runcards.py b/src/eko/io/runcards.py index 755fcaf72..e9fac3893 100644 --- a/src/eko/io/runcards.py +++ b/src/eko/io/runcards.py @@ -3,6 +3,7 @@ All energy scales in the runcards should be saved linearly, not the squared value, for consistency. Squares are consistenly taken inside. """ + from dataclasses import dataclass from math import nan from typing import List, Optional, Union @@ -104,7 +105,7 @@ class Configs(DictLike): class OperatorCard(DictLike): """Operator Card info.""" - mu0: float + init: EPoint """Initial scale.""" mugrid: List[EPoint] xgrid: interpolation.XGrid @@ -125,7 +126,7 @@ class OperatorCard(DictLike): @property def mu20(self): """Squared value of initial scale.""" - return self.mu0**2 + return self.init[0] ** 2 @property def mu2grid(self) -> npt.NDArray: @@ -193,23 +194,12 @@ def new_theory(self): alphas=old["alphas"], alphaem=alphaem, em_running=em_running, - scale=old["Qref"], - num_flavs_ref=old["nfref"], - max_num_flavs=old["MaxNfAs"], + ref=(old["Qref"], old["nfref"]), ) new["heavy"] = { - "num_flavs_init": nf_default(old["Q0"] ** 2.0, default_atlas(ms, ks)) - if old["nf0"] is None - else old["nf0"], - "num_flavs_max_pdf": old["MaxNfPdf"], "matching_ratios": self.heavies("k%sThr", old), "masses_scheme": old["HQ"], } - intrinsic = [] - for idx, q in enumerate(hq.FLAVORS): - if old.get(f"i{q}".upper()) == 1: - intrinsic.append(idx + 4) - new["heavy"]["intrinsic_flavors"] = intrinsic if old["HQ"] == "POLE": new["heavy"]["masses"] = [[m, nan] for m in ms] elif old["HQ"] == "MSBAR": @@ -233,17 +223,22 @@ def new_operator(self): old_th = self.theory new = {} - new["mu0"] = old_th["Q0"] + ms = self.heavies("m%s", old_th) + ks = self.heavies("k%sThr", old_th) + new["init"] = ( + old_th["Q0"], + ( + nf_default(old_th["Q0"] ** 2.0, default_atlas(ms, ks)) + if old_th["nf0"] is None + else old_th["nf0"] + ), + ) if "mugrid" in old: mugrid = old["mugrid"] else: mu2grid = old["Q2grid"] if "Q2grid" in old else old["mu2grid"] mugrid = np.sqrt(mu2grid).tolist() - new["mugrid"] = flavored_mugrid( - mugrid, - list(self.heavies("m%s", old_th)), - list(self.heavies("k%sThr", old_th)), - ) + new["mugrid"] = flavored_mugrid(mugrid, list(ms), list(ks)) new["configs"] = {} evmod = old_th["ModEv"] @@ -275,27 +270,6 @@ def new_operator(self): return OperatorCard.from_dict(new) -def update(theory: Union[RawCard, TheoryCard], operator: Union[RawCard, OperatorCard]): - """Update legacy runcards. - - This function is mainly defined for compatibility with the old interface. - Prefer direct usage of :class:`Legacy` in new code. - - Consecutive applications of this function yield identical results:: - - cards = update(theory, operator) - assert update(*cards) == cards - """ - if isinstance(theory, TheoryCard) or isinstance(operator, OperatorCard): - # if one is not a dict, both have to be new cards - assert isinstance(theory, TheoryCard) - assert isinstance(operator, OperatorCard) - return theory, operator - - cards = Legacy(theory, operator) - return cards.new_theory, cards.new_operator - - def default_atlas(masses: list, matching_ratios: list): r"""Create default landscape. diff --git a/src/eko/io/struct.py b/src/eko/io/struct.py index 11a0d6a30..3d332e8af 100644 --- a/src/eko/io/struct.py +++ b/src/eko/io/struct.py @@ -1,4 +1,5 @@ """Define output representation structures.""" + import contextlib import copy import logging @@ -15,7 +16,6 @@ from .. import interpolation from . import exceptions, raw from .access import AccessConfigs -from .bases import Bases from .inventory import Inventory from .items import Evolution, Matching, Operator, Recipe, Target from .metadata import Metadata @@ -104,20 +104,15 @@ def paths(self) -> InternalPaths: """Accessor for internal paths.""" return InternalPaths(self.metadata.path) - @property - def bases(self) -> Bases: - """Bases information.""" - return self.metadata.bases - @property def xgrid(self) -> interpolation.XGrid: """Momentum fraction internal grid.""" - return self.bases.xgrid + return self.metadata.xgrid @xgrid.setter def xgrid(self, value: interpolation.XGrid): """Set `xgrid` value.""" - self.bases.xgrid = value + self.metadata.xgrid = value self.update() @property @@ -271,7 +266,7 @@ def approx( Raises ------ ValueError - if multiple values are find in the neighbourhood + if multiple values are found in the neighbourhood """ eps = np.array([ep_ for ep_ in self if ep_[1] == ep[1]]) @@ -279,7 +274,9 @@ def approx( close = eps[np.isclose(ep[0], mu2s, rtol=rtol, atol=atol)] if len(close) == 1: - return tuple(close[0]) + found = close[0] + assert isinstance(found[0], float) + return (found[0], int(found[1])) if len(close) == 0: return None raise ValueError(f"Multiple values of Q2 have been found close to {ep}") @@ -536,8 +533,8 @@ def build(self) -> EKO: self.access.open = True metadata = Metadata( _path=self.path, - origin=(self.operator.mu20, self.theory.heavy.num_flavs_init), - bases=Bases(xgrid=self.operator.xgrid), + origin=(self.operator.init[0] ** 2, self.operator.init[1]), + xgrid=self.operator.xgrid, ) InternalPaths(self.path).bootstrap( theory=self.theory.raw, diff --git a/src/eko/io/types.py b/src/eko/io/types.py index 5573bafbb..20ac52db5 100644 --- a/src/eko/io/types.py +++ b/src/eko/io/types.py @@ -1,7 +1,7 @@ """Common type definitions, only used for static analysis.""" + import enum -import typing -from typing import Any, Dict, Generic, Tuple, TypeVar +from typing import Any, Dict, Generic, List, Tuple, TypeVar # Energy scales # ------------- @@ -22,8 +22,9 @@ Order = Tuple[int, int] FlavorsNumber = int FlavorIndex = int -IntrinsicFlavors = typing.List[FlavorIndex] -N3LOAdVariation = typing.Tuple[int, int, int, int] +IntrinsicFlavors = List[FlavorIndex] +N3LOAdVariation = Tuple[int, int, int, int] +OperatorLabel = Tuple[int, int] # Evolution coordinates # --------------------- diff --git a/src/eko/kernels/__init__.py b/src/eko/kernels/__init__.py index 7640727b5..594fbf1fa 100644 --- a/src/eko/kernels/__init__.py +++ b/src/eko/kernels/__init__.py @@ -1 +1,35 @@ """The solutions to the |DGLAP| equations.""" + +import enum + +from ..io.types import EvolutionMethod + + +class EvoMethods(enum.IntEnum): + """Enumerate evolution methods.""" + + ITERATE_EXACT = enum.auto() + ITERATE_EXPANDED = enum.auto() + PERTURBATIVE_EXACT = enum.auto() + PERTURBATIVE_EXPANDED = enum.auto() + TRUNCATED = enum.auto() + ORDERED_TRUNCATED = enum.auto() + DECOMPOSE_EXACT = enum.auto() + DECOMPOSE_EXPANDED = enum.auto() + + +def ev_method(s: EvolutionMethod) -> EvoMethods: + """Return the evolution method. + + Parameters + ---------- + s : + string representation + + Returns + ------- + i : + int representation + + """ + return EvoMethods[s.value.upper().replace("-", "_")] diff --git a/src/eko/kernels/as4_evolution_integrals.py b/src/eko/kernels/as4_evolution_integrals.py index f401de8c6..e33b14511 100644 --- a/src/eko/kernels/as4_evolution_integrals.py +++ b/src/eko/kernels/as4_evolution_integrals.py @@ -288,9 +288,7 @@ def j13_expanded(a1, a0, beta0, b_list): """ b1, b2, _ = b_list return (1 / beta0) * ( - (a1 - a0) - - b1 / 2 * (a1**2 - a0**2) - + (b1**2 - b2) / 3 * (a1**3 - a0**3) + (a1 - a0) - b1 / 2 * (a1**2 - a0**2) + (b1**2 - b2) / 3 * (a1**3 - a0**3) ) diff --git a/src/eko/kernels/non_singlet.py b/src/eko/kernels/non_singlet.py index 23b2ab47a..15b913438 100644 --- a/src/eko/kernels/non_singlet.py +++ b/src/eko/kernels/non_singlet.py @@ -4,9 +4,9 @@ import numpy as np from .. import beta +from . import EvoMethods from . import as4_evolution_integrals as as4_ei from . import evolution_integrals as ei -from . import utils @nb.njit(cache=True) @@ -281,7 +281,7 @@ def eko_ordered_truncated(gamma_ns, a1, a0, beta, order, ev_op_iterations): non-singlet ordered truncated EKO """ - a_steps = utils.geomspace(a0, a1, 1 + ev_op_iterations) + a_steps = np.geomspace(a0, a1, 1 + ev_op_iterations) U = U_vec(gamma_ns, beta, order) e = 1.0 al = a_steps[0] @@ -321,7 +321,7 @@ def eko_truncated(gamma_ns, a1, a0, beta, order, ev_op_iterations): non-singlet truncated EKO """ - a_steps = utils.geomspace(a0, a1, 1 + ev_op_iterations) + a_steps = np.geomspace(a0, a1, 1 + ev_op_iterations) U = U_vec(gamma_ns, beta, order) e = 1.0 al = a_steps[0] @@ -356,7 +356,7 @@ def dispatcher( ---------- order : tuple(int,int) perturbation order - method : str + method : int method gamma_ns : numpy.ndarray non-singlet anomalous dimensions @@ -379,38 +379,38 @@ def dispatcher( # use always exact in LO if order[0] == 1: return lo_exact(gamma_ns, a1, a0, betalist) - if method == "ordered-truncated": + if method is EvoMethods.ORDERED_TRUNCATED: return eko_ordered_truncated( gamma_ns, a1, a0, betalist, order, ev_op_iterations ) - if method == "truncated": + if method is EvoMethods.TRUNCATED: return eko_truncated(gamma_ns, a1, a0, betalist, order, ev_op_iterations) # NLO if order[0] == 2: if method in [ - "iterate-expanded", - "decompose-expanded", - "perturbative-expanded", + EvoMethods.ITERATE_EXPANDED, + EvoMethods.DECOMPOSE_EXPANDED, + EvoMethods.PERTURBATIVE_EXPANDED, ]: return nlo_expanded(gamma_ns, a1, a0, betalist) - # if method in ["iterate-exact", "decompose-exact", "perturbative-exact"]: + # exact is left return nlo_exact(gamma_ns, a1, a0, betalist) # NNLO if order[0] == 3: if method in [ - "iterate-expanded", - "decompose-expanded", - "perturbative-expanded", + EvoMethods.ITERATE_EXPANDED, + EvoMethods.DECOMPOSE_EXPANDED, + EvoMethods.PERTURBATIVE_EXPANDED, ]: return nnlo_expanded(gamma_ns, a1, a0, betalist) return nnlo_exact(gamma_ns, a1, a0, betalist) # N3LO if order[0] == 4: if method in [ - "iterate-expanded", - "decompose-expanded", - "perturbative-expanded", + EvoMethods.ITERATE_EXPANDED, + EvoMethods.DECOMPOSE_EXPANDED, + EvoMethods.PERTURBATIVE_EXPANDED, ]: return n3lo_expanded(gamma_ns, a1, a0, betalist) return n3lo_exact(gamma_ns, a1, a0, betalist) diff --git a/src/eko/kernels/non_singlet_qed.py b/src/eko/kernels/non_singlet_qed.py index 36d4d3c35..d81d5076b 100644 --- a/src/eko/kernels/non_singlet_qed.py +++ b/src/eko/kernels/non_singlet_qed.py @@ -1,10 +1,10 @@ """Collection of QED non-singlet EKOs.""" + import numba as nb import numpy as np from .. import beta from . import non_singlet as ns -from . import utils @nb.njit(cache=True) @@ -146,7 +146,7 @@ def as4_exact(gamma_ns, a1, a0, beta): @nb.njit(cache=True) def dispatcher( order, - method, + _method, gamma_ns, as_list, aem_half, @@ -164,7 +164,7 @@ def dispatcher( ---------- order : tuple(int,int) perturbation order - method : str + method : int method gamma_ns : numpy.ndarray non-singlet anomalous dimensions @@ -276,7 +276,7 @@ def exact(order, gamma_ns, as_list, aem_half, nf, ev_op_iterations, mu2_from, mu e_ns : complex non-singlet EKO """ - mu2_steps = utils.geomspace(mu2_from, mu2_to, 1 + ev_op_iterations) + mu2_steps = np.geomspace(mu2_from, mu2_to, 1 + ev_op_iterations) res = 1.0 for step in range(1, ev_op_iterations + 1): aem = aem_half[step - 1] diff --git a/src/eko/kernels/singlet.py b/src/eko/kernels/singlet.py index 159135dc6..e637af046 100644 --- a/src/eko/kernels/singlet.py +++ b/src/eko/kernels/singlet.py @@ -6,9 +6,9 @@ from ekore import anomalous_dimensions as ad from .. import beta +from . import EvoMethods from . import as4_evolution_integrals as as4_ei from . import evolution_integrals as ei -from . import utils @nb.njit(cache=True) @@ -323,7 +323,7 @@ def eko_iterate(gamma_singlet, a1, a0, beta_vec, order, ev_op_iterations): numpy.ndarray singlet iterated (exact) EKO """ - a_steps = utils.geomspace(a0, a1, 1 + ev_op_iterations) + a_steps = np.geomspace(a0, a1, 1 + ev_op_iterations) e = np.identity(2, np.complex_) al = a_steps[0] for ah in a_steps[1:]: @@ -500,7 +500,7 @@ def eko_perturbative( uk = u_vec(r, ev_op_max_order) e = np.identity(2, np.complex_) # iterate elements - a_steps = utils.geomspace(a0, a1, 1 + ev_op_iterations) + a_steps = np.geomspace(a0, a1, 1 + ev_op_iterations) al = a_steps[0] for ah in a_steps[1:]: e0 = lo_exact(gamma_singlet, ah, al, beta) @@ -542,7 +542,7 @@ def eko_truncated(gamma_singlet, a1, a0, beta, order, ev_op_iterations): u1 = np.ascontiguousarray(u[1]) e = np.identity(2, np.complex_) # iterate elements - a_steps = utils.geomspace(a0, a1, 1 + ev_op_iterations) + a_steps = np.geomspace(a0, a1, 1 + ev_op_iterations) al = a_steps[0] for ah in a_steps[1:]: e0 = np.ascontiguousarray(lo_exact(gamma_singlet, ah, al, beta)) @@ -580,7 +580,7 @@ def dispatcher( # pylint: disable=too-many-return-statements ---------- order : tuple(int,int) perturbative order - method : str + method : int method gamma_singlet : numpy.ndarray singlet anomalous dimensions matrices @@ -610,9 +610,9 @@ def dispatcher( # pylint: disable=too-many-return-statements return lo_exact(gamma_singlet, a1, a0, betalist) # Common method for NLO and NNLO - if method in ["iterate-exact", "iterate-expanded"]: + if method in [EvoMethods.ITERATE_EXACT, EvoMethods.ITERATE_EXPANDED]: return eko_iterate(gamma_singlet, a1, a0, betalist, order, ev_op_iterations) - if method == "perturbative-exact": + if method is EvoMethods.PERTURBATIVE_EXACT: return eko_perturbative( gamma_singlet, a1, @@ -623,7 +623,7 @@ def dispatcher( # pylint: disable=too-many-return-statements ev_op_max_order, True, ) - if method == "perturbative-expanded": + if method is EvoMethods.PERTURBATIVE_EXPANDED: return eko_perturbative( gamma_singlet, a1, @@ -634,19 +634,19 @@ def dispatcher( # pylint: disable=too-many-return-statements ev_op_max_order, False, ) - if method in ["truncated", "ordered-truncated"]: + if method in [EvoMethods.TRUNCATED, EvoMethods.ORDERED_TRUNCATED]: return eko_truncated(gamma_singlet, a1, a0, betalist, order, ev_op_iterations) # These methods are scattered for nlo and nnlo - if method == "decompose-exact": + if method is EvoMethods.DECOMPOSE_EXACT: if order[0] == 2: return nlo_decompose_exact(gamma_singlet, a1, a0, betalist) - elif order[0] == 3: + if order[0] == 3: return nnlo_decompose_exact(gamma_singlet, a1, a0, betalist) return n3lo_decompose_exact(gamma_singlet, a1, a0, nf) - if method == "decompose-expanded": + if method is EvoMethods.DECOMPOSE_EXPANDED: if order[0] == 2: return nlo_decompose_expanded(gamma_singlet, a1, a0, betalist) - elif order[0] == 3: + if order[0] == 3: return nnlo_decompose_expanded(gamma_singlet, a1, a0, betalist) return n3lo_decompose_expanded(gamma_singlet, a1, a0, nf) raise NotImplementedError("Selected method is not implemented") diff --git a/src/eko/kernels/singlet_qed.py b/src/eko/kernels/singlet_qed.py index d6e57c537..d63a2f1ac 100644 --- a/src/eko/kernels/singlet_qed.py +++ b/src/eko/kernels/singlet_qed.py @@ -1,10 +1,12 @@ """Collection of QED singlet EKOs.""" + import numba as nb import numpy as np from ekore import anomalous_dimensions as ad from .. import beta +from . import EvoMethods @nb.njit(cache=True) @@ -65,7 +67,7 @@ def dispatcher( a_half, nf, ev_op_iterations, - ev_op_max_order, + _ev_op_max_order, ): """Determine used kernel and call it. @@ -73,7 +75,7 @@ def dispatcher( ---------- order : tuple(int,int) perturbative order - method : str + method : int method gamma_singlet : numpy.ndarray singlet anomalous dimensions matrices @@ -95,7 +97,7 @@ def dispatcher( e_s : numpy.ndarray singlet EKO """ - if method in ["iterate-exact", "iterate-expanded"]: + if method is EvoMethods.ITERATE_EXACT: return eko_iterate( gamma_singlet, as_list, a_half, nf, order, ev_op_iterations, 4 ) diff --git a/src/eko/kernels/utils.py b/src/eko/kernels/utils.py deleted file mode 100644 index 8b227199b..000000000 --- a/src/eko/kernels/utils.py +++ /dev/null @@ -1,26 +0,0 @@ -"""Utility functions.""" - -import numba as nb -import numpy as np - - -@nb.njit(cache=True) -def geomspace(start, end, num): - """Numba port of :func:`numpy.geomspace`. - - Parameters - ---------- - start : float - initial value - end : float - final value - num : int - steps - - Returns - ------- - geomspace : numpy.ndarray - logarithmic spaced list between `start` and `end` - - """ - return np.exp(np.linspace(np.log(start), np.log(end), num)) diff --git a/src/eko/kernels/valence_qed.py b/src/eko/kernels/valence_qed.py index 3a8482f68..186c70219 100644 --- a/src/eko/kernels/valence_qed.py +++ b/src/eko/kernels/valence_qed.py @@ -1,6 +1,8 @@ """Collection of QED valence EKOs.""" + import numba as nb +from . import EvoMethods from .singlet_qed import eko_iterate @@ -13,7 +15,7 @@ def dispatcher( a_half, nf, ev_op_iterations, - ev_op_max_order, + _ev_op_max_order, ): """ Determine used kernel and call it. @@ -22,7 +24,7 @@ def dispatcher( ---------- order : tuple(int,int) perturbative order - method : str + method : int method gamma_singlet : numpy.ndarray singlet anomalous dimensions matrices @@ -44,7 +46,7 @@ def dispatcher( e_v : numpy.ndarray singlet EKO """ - if method in ["iterate-exact", "iterate-expanded"]: + if method is EvoMethods.ITERATE_EXACT: return eko_iterate( gamma_valence, as_list, a_half, nf, order, ev_op_iterations, 2 ) diff --git a/src/eko/matchings.py b/src/eko/matchings.py index 9ef6b8f9e..270581c23 100644 --- a/src/eko/matchings.py +++ b/src/eko/matchings.py @@ -1,4 +1,5 @@ r"""Holds the classes that define the |FNS|.""" + import logging from dataclasses import dataclass from typing import List, Union diff --git a/src/eko/mellin.py b/src/eko/mellin.py index 01ec56ad4..4302dae01 100644 --- a/src/eko/mellin.py +++ b/src/eko/mellin.py @@ -222,8 +222,11 @@ class Path: def __init__(self, t, logx, axis_offset): self.t = t - # TODO: shall we use: 0.4 * 16.0 / ( - logx) ? - self.r = 0.4 * 16.0 / (1.0 - logx) + # The prescription suggested by :cite:`Abate` for r is 0.4 * M / ( - logx) + # with M the number of accurate digits; Maria Ubiali suggested in her thesis M = 16. + # However, this seems to yield unstable results for the OME in the large x region + # so we add an additional regularization, which makes the path less "edgy" there + self.r = 0.4 * 16.0 / (0.1 - logx) if axis_offset: self.o = 1.0 else: diff --git a/src/eko/member.py b/src/eko/member.py index edf8f89a3..f6aa44d36 100644 --- a/src/eko/member.py +++ b/src/eko/member.py @@ -1,4 +1,5 @@ """Atomic operator member.""" + import copy import operator from numbers import Number diff --git a/src/eko/msbar_masses.py b/src/eko/msbar_masses.py index 356a81019..63e1b72d1 100644 --- a/src/eko/msbar_masses.py +++ b/src/eko/msbar_masses.py @@ -1,4 +1,5 @@ r"""|RGE| for the |MSbar| masses.""" + from typing import List import numba as nb @@ -377,8 +378,8 @@ def compute( """ # TODO: sketch in the docs how the MSbar computation works with a figure. - mu2_ref = couplings.scale**2 - nf_ref: FlavorsNumber = couplings.num_flavs_ref + mu2_ref = couplings.ref[0] ** 2 + nf_ref: FlavorsNumber = couplings.ref[1] masses = np.concatenate((np.zeros(nf_ref - 3), np.full(6 - nf_ref, np.inf))) def sc(thr_masses): @@ -395,7 +396,7 @@ def sc(thr_masses): heavy_quarks = quark_names[3:] hq_idxs = np.arange(0, 3) if nf_ref > 4: - heavy_quarks = reversed(heavy_quarks) + heavy_quarks = "".join(reversed(heavy_quarks)) hq_idxs = reversed(hq_idxs) # loop on heavy quarks and compute the msbar masses diff --git a/src/eko/quantities/couplings.py b/src/eko/quantities/couplings.py index 449abab38..cbeb40a62 100644 --- a/src/eko/quantities/couplings.py +++ b/src/eko/quantities/couplings.py @@ -1,10 +1,11 @@ """Types and quantities related to theory couplings.""" + import dataclasses import enum -from typing import Optional from ..io.dictlike import DictLike -from ..io.types import FlavorsNumber, LinearScale, ReferenceRunning, Scalar +from ..io.types import EvolutionPoint as EPoint +from ..io.types import LinearScale, ReferenceRunning, Scalar Coupling = Scalar CouplingRef = ReferenceRunning[Coupling] @@ -20,15 +21,7 @@ class CouplingsInfo(DictLike): alphas: Coupling alphaem: Coupling - scale: LinearScale - max_num_flavs: FlavorsNumber - num_flavs_ref: Optional[FlavorsNumber] - r"""Number of active flavors at strong coupling reference scale. - - I.e. :math:`n_{f,\text{ref}}(\mu^2_{\text{ref}})`, formerly called - ``nfref``. - - """ + ref: EPoint em_running: bool = False @property diff --git a/src/eko/quantities/heavy_quarks.py b/src/eko/quantities/heavy_quarks.py index df0285649..7328f0f12 100644 --- a/src/eko/quantities/heavy_quarks.py +++ b/src/eko/quantities/heavy_quarks.py @@ -1,4 +1,5 @@ """Heavy quarks related quantities.""" + import enum from dataclasses import dataclass from typing import Generic, List, Sequence, TypeVar @@ -6,13 +7,7 @@ import numpy as np from ..io.dictlike import DictLike -from ..io.types import ( - FlavorsNumber, - IntrinsicFlavors, - LinearScale, - ReferenceRunning, - SquaredScale, -) +from ..io.types import FlavorsNumber, LinearScale, ReferenceRunning, SquaredScale FLAVORS = "cbt" @@ -90,16 +85,6 @@ class HeavyInfo(DictLike): """ - num_flavs_init: FlavorsNumber - r"""Number of active flavors at fitting scale. - - I.e. :math:`n_{f,\text{ref}}(\mu^2_0)`, formerly called ``nf0``. - - """ - num_flavs_max_pdf: FlavorsNumber - """Maximum number of quark PDFs.""" - intrinsic_flavors: IntrinsicFlavors - """List of intrinsic quark PDFs.""" masses: HeavyQuarkMasses """List of heavy quark masses.""" masses_scheme: QuarkMassScheme diff --git a/src/eko/runner/__init__.py b/src/eko/runner/__init__.py index a487cdbaf..1c331d17b 100644 --- a/src/eko/runner/__init__.py +++ b/src/eko/runner/__init__.py @@ -1,5 +1,6 @@ """Manage steps to DGLAP solution, and operator creation.""" -import os + +from pathlib import Path from typing import Union from ..io.runcards import OperatorCard, TheoryCard @@ -14,7 +15,7 @@ def solve( theory_card: Union[RawCard, TheoryCard], operators_card: Union[RawCard, OperatorCard], - path: os.PathLike, + path: Path, ): r"""Solve DGLAP equations in terms of evolution kernel operators (EKO). diff --git a/src/eko/runner/commons.py b/src/eko/runner/commons.py index c27b4c8a2..af547b9a6 100644 --- a/src/eko/runner/commons.py +++ b/src/eko/runner/commons.py @@ -1,4 +1,5 @@ """Runners common utilities.""" + import numpy as np from ..couplings import Couplings, couplings_mod_ev @@ -32,7 +33,7 @@ def atlas(theory: TheoryCard, operator: OperatorCard) -> Atlas: # TODO: cache result masses = runcards.masses(theory, operator.configs.evolution_method) matching_scales = np.power(theory.heavy.matching_ratios, 2.0) * np.array(masses) - return Atlas(matching_scales.tolist(), (operator.mu20, theory.heavy.num_flavs_init)) + return Atlas(matching_scales.tolist(), (operator.mu20, operator.init[1])) def couplings(theory: TheoryCard, operator: OperatorCard) -> Couplings: diff --git a/src/eko/runner/legacy.py b/src/eko/runner/legacy.py index 39659f121..44f91670b 100644 --- a/src/eko/runner/legacy.py +++ b/src/eko/runner/legacy.py @@ -1,8 +1,11 @@ """Main application class of eko.""" + import logging -import os +from pathlib import Path from typing import Union +from ekomark.data import update_runcards + from ..evolution_operator.grid import OperatorGrid from ..io import EKO, Operator, runcards from ..io.types import RawCard @@ -29,7 +32,7 @@ def __init__( self, theory_card: Union[RawCard, runcards.TheoryCard], operators_card: Union[RawCard, runcards.OperatorCard], - path: os.PathLike, + path: Path, ): """Initialize runner. @@ -43,8 +46,7 @@ def __init__( path where to store the computed operator """ - new_theory, new_operator = runcards.update(theory_card, operators_card) - new_theory.heavy.intrinsic_flavors = [4, 5, 6] + new_theory, new_operator = update_runcards(theory_card, operators_card) # Store inputs self.path = path @@ -69,7 +71,6 @@ def __init__( masses=masses, mass_scheme=new_theory.heavy.masses_scheme.value, thresholds_ratios=new_theory.heavy.squared_ratios, - intrinsic_flavors=new_theory.heavy.intrinsic_flavors, xif=new_theory.xif, configs=new_operator.configs, debug=new_operator.debug, diff --git a/src/eko/runner/managed.py b/src/eko/runner/managed.py index 2c3d2c313..c50012ffd 100644 --- a/src/eko/runner/managed.py +++ b/src/eko/runner/managed.py @@ -10,6 +10,7 @@ but not automatically performed. """ + from pathlib import Path from ..io.items import Target @@ -20,8 +21,6 @@ def solve(theory: TheoryCard, operator: OperatorCard, path: Path): """Solve DGLAP equations in terms of evolution kernel operators (EKO).""" - theory.heavy.intrinsic_flavors = [4, 5, 6] - with EKO.create(path) as builder: eko = builder.load_cards(theory, operator).build() # pylint: disable=E1101 recipes.create(eko) diff --git a/src/eko/runner/operators.py b/src/eko/runner/operators.py index 702c6479c..a315f6964 100644 --- a/src/eko/runner/operators.py +++ b/src/eko/runner/operators.py @@ -1,4 +1,5 @@ """Combine parts into operators.""" + from functools import reduce from typing import List @@ -19,7 +20,9 @@ def _retrieve( elements = [] for head in headers: inv = parts if isinstance(head, Evolution) else parts_matching - elements.append(inv[head]) + op = inv[head] + assert op is not None + elements.append(op) return elements diff --git a/src/eko/runner/parts.py b/src/eko/runner/parts.py index ccb18392e..75c4d8db8 100644 --- a/src/eko/runner/parts.py +++ b/src/eko/runner/parts.py @@ -9,19 +9,21 @@ :class:`OperatorMatrixElement` to simplify the computation and passing down parameters. """ + import numpy as np from .. import evolution_operator as evop from ..evolution_operator import matching_condition from ..evolution_operator import operator_matrix_element as ome from ..evolution_operator import physical +from ..evolution_operator.grid import Managers from ..io import EKO from ..io.items import Evolution, Matching, Operator from ..quantities.heavy_quarks import QuarkMassScheme from . import commons -def _managers(eko: EKO) -> dict: +def _managers(eko: EKO) -> Managers: """Collect managers for operator computation. .. todo:: @@ -30,39 +32,14 @@ def _managers(eko: EKO) -> dict: """ tcard = eko.theory_card ocard = eko.operator_card - return dict( - thresholds_config=commons.atlas(tcard, ocard), + return Managers( + atlas=commons.atlas(tcard, ocard), couplings=commons.couplings(tcard, ocard), - interpol_dispatcher=commons.interpolator(ocard), + interpolator=commons.interpolator(ocard), ) -def _blowup_info(eko: EKO) -> dict: - """Prepare common information to blow up to flavor basis. - - Note - ---- - ``intrinsic_range`` is a fully deprecated feature, here and anywhere else, - since a full range is already always used for backward evolution, and it is - not harmful to use it also for forward. - - Indeed, the only feature of non-intrinsic evolution is to absorb a - non-trivial boundary condition when an intrinsic PDF is defined. - But to achieve this, is sufficient to not specify any intrinsic boundary - condition at all, while if something is there, it is intuitive enough that - it will be consistently evolved. - - Moreover, since two different behavior are applied for the forward and - backward evolution, the intrinsic range is a "non-local" function, since it - does not depend only on the evolution segment, but also on the previous - evolution history (to determine if evolution is backward in flavor, - irrespectively of happening for an increasing or decreasing interval in - scale at fixed flavor). - """ - return dict(intrinsic_range=[4, 5, 6], qed=eko.theory_card.order[1] > 0) - - -def _evolution_configs(eko: EKO) -> dict: +def _evolve_configs(eko: EKO) -> dict: """Create configs for :class:`Operator`. .. todo:: @@ -93,17 +70,17 @@ def _evolution_configs(eko: EKO) -> dict: def evolve(eko: EKO, recipe: Evolution) -> Operator: """Compute evolution in isolation.""" op = evop.Operator( - _evolution_configs(eko), + _evolve_configs(eko), _managers(eko), recipe.as_atlas, is_threshold=recipe.cliff, ) op.compute() - binfo = _blowup_info(eko) + qed = eko.theory_card.order[1] > 0 res, err = physical.PhysicalOperator.ad_to_evol_map( - op.op_members, op.nf, op.q2_to, **binfo - ).to_flavor_basis_tensor(qed=binfo["qed"]) + op.op_members, op.nf, op.q2_to, qed + ).to_flavor_basis_tensor(qed) return Operator(res, err) @@ -118,9 +95,8 @@ def _matching_configs(eko: EKO) -> dict: tcard = eko.theory_card ocard = eko.operator_card return dict( - **_evolution_configs(eko), + **_evolve_configs(eko), backward_inversion=ocard.configs.inversion_method, - intrinsic_range=tcard.heavy.intrinsic_flavors, ) @@ -147,10 +123,9 @@ def match(eko: EKO, recipe: Matching) -> Operator: eko.theory_card.heavy.masses_scheme is QuarkMassScheme.MSBAR, ) op.compute() - - binfo = _blowup_info(eko) + qed = eko.theory_card.order[1] > 0 res, err = matching_condition.MatchingCondition.split_ad_to_evol_map( - op.op_members, op.nf, recipe.scale, **binfo - ).to_flavor_basis_tensor(qed=binfo["qed"]) + op.op_members, op.nf, recipe.scale, qed + ).to_flavor_basis_tensor(qed) return Operator(res, err) diff --git a/src/eko/runner/recipes.py b/src/eko/runner/recipes.py index 9c0b11170..1f83e75dd 100644 --- a/src/eko/runner/recipes.py +++ b/src/eko/runner/recipes.py @@ -1,4 +1,5 @@ """Recipes containing instructions for atomic computations.""" + from typing import List from ..io.items import Evolution, Matching, Recipe diff --git a/src/eko/scale_variations/__init__.py b/src/eko/scale_variations/__init__.py index a271402c3..8d3f01556 100644 --- a/src/eko/scale_variations/__init__.py +++ b/src/eko/scale_variations/__init__.py @@ -3,31 +3,34 @@ A Mathematica snippet to check the formulas is available in the extras folder. """ + import enum +from typing import Any, Dict +from ..io.types import ScaleVariationsMethod from . import expanded, exponentiated class Modes(enum.IntEnum): - """Enumerate scale Variation modes.""" + """Enumerate scale variation modes.""" unvaried = enum.auto() exponentiated = enum.auto() expanded = enum.auto() -def sv_mode(s): +def sv_mode(s: ScaleVariationsMethod) -> Modes: """Return the scale variation mode. Parameters ---------- - s : str + s : string representation Returns ------- - enum.IntEnum - enum representation + i : + int representation """ if s is not None: @@ -35,10 +38,12 @@ def sv_mode(s): return Modes.unvaried -class ModeMixin: +class ScaleVariationModeMixin: """Mixin to cast scale variation mode.""" + config: Dict[str, Any] + @property - def sv_mode(self): + def sv_mode(self) -> Modes: """Return the scale variation mode.""" return sv_mode(self.config["ModSV"]) diff --git a/src/eko/scale_variations/expanded.py b/src/eko/scale_variations/expanded.py index f3a6be145..2192833bd 100644 --- a/src/eko/scale_variations/expanded.py +++ b/src/eko/scale_variations/expanded.py @@ -88,12 +88,8 @@ def variation_as3(gamma, L, beta0, beta1, g0e2, g0e3, g1g0, g0g1): """ return ( gamma[2] * L - + (1.0 / 2.0) - * (beta1 * gamma[0] + 2.0 * beta0 * gamma[1] + g1g0 + g0g1) - * L**2 - + (1.0 / 6.0) - * (2.0 * beta0**2 * gamma[0] + 3.0 * beta0 * g0e2 + g0e3) - * L**3 + + (1.0 / 2.0) * (beta1 * gamma[0] + 2.0 * beta0 * gamma[1] + g1g0 + g0g1) * L**2 + + (1.0 / 6.0) * (2.0 * beta0**2 * gamma[0] + 3.0 * beta0 * g0e2 + g0e3) * L**3 ) diff --git a/src/eko/scale_variations/exponentiated.py b/src/eko/scale_variations/exponentiated.py index 7efb88e79..fe42fe03b 100644 --- a/src/eko/scale_variations/exponentiated.py +++ b/src/eko/scale_variations/exponentiated.py @@ -1,4 +1,5 @@ r"""Contains the scale variation for ``ModSV=exponentiated``.""" + import numba as nb from .. import beta diff --git a/src/ekobox/apply.py b/src/ekobox/apply.py index 336900798..bf9f2083d 100644 --- a/src/ekobox/apply.py +++ b/src/ekobox/apply.py @@ -1,10 +1,14 @@ """Apply operator evolution to PDF set.""" +from dataclasses import dataclass +from typing import Dict, Optional, Union + import numpy as np from eko import basis_rotation as br from eko import interpolation from eko.io import EKO +from eko.io.types import EvolutionPoint def apply_pdf( @@ -49,6 +53,17 @@ def apply_pdf( CONTRACTION = "ajbk,bk" +_PdfLabel = Union[int, str] +"""PDF identifier: either PID or label.""" + + +@dataclass +class PdfResult: + """Helper class to collect PDF results.""" + + pdfs: Dict[_PdfLabel, float] + errors: Optional[Dict[_PdfLabel, float]] = None + def apply_pdf_flavor( eko: EKO, lhapdf_like, targetgrid=None, flavor_rotation=None, labels=None @@ -76,60 +91,60 @@ def apply_pdf_flavor( output PDFs and their associated errors for the computed mu2grid """ # create pdfs - pdfs = np.zeros((len(eko.bases.inputpids), len(eko.bases.inputgrid))) - for j, pid in enumerate(eko.bases.inputpids): + pdfs = np.zeros((len(br.flavor_basis_pids), len(eko.xgrid))) + for j, pid in enumerate(br.flavor_basis_pids): if not lhapdf_like.hasFlavor(pid): continue pdfs[j] = np.array( - [lhapdf_like.xfxQ2(pid, x, eko.mu20) / x for x in eko.bases.inputgrid.raw] + [lhapdf_like.xfxQ2(pid, x, eko.mu20) / x for x in eko.xgrid.raw] ) # build output - out_grid = {} + out_grid: Dict[EvolutionPoint, PdfResult] = {} for ep, elem in eko.items(): pdf_final = np.einsum(CONTRACTION, elem.operator, pdfs, optimize="optimal") if elem.error is not None: error_final = np.einsum(CONTRACTION, elem.error, pdfs, optimize="optimal") else: error_final = None - out_grid[ep] = { - "pdfs": dict(zip(eko.bases.targetpids, pdf_final)), - "errors": None, - } + out_grid[ep] = PdfResult(dict(zip(br.flavor_basis_pids, pdf_final))) if error_final is not None: - out_grid[ep]["errors"] = dict(zip(eko.bases.targetpids, error_final)) + out_grid[ep].errors = dict(zip(br.flavor_basis_pids, error_final)) qed = eko.theory_card.order[1] > 0 # rotate to evolution basis if flavor_rotation is not None: for q2, op in out_grid.items(): pdf = flavor_rotation @ np.array( - [op["pdfs"][pid] for pid in br.flavor_basis_pids] + [op.pdfs[pid] for pid in br.flavor_basis_pids] ) - if labels is None: - labels = list(range(flavor_rotation.shape[0])) - op["pdfs"] = dict(zip(labels, pdf)) - if op["errors"] is not None: + if not qed: + evol_basis = br.evol_basis + else: + evol_basis = br.unified_evol_basis + op.pdfs = dict(zip(evol_basis, pdf)) + if op.errors is not None: errors = flavor_rotation @ np.array( - [op["errors"][pid] for pid in br.flavor_basis_pids] + [op.errors[pid] for pid in br.flavor_basis_pids] ) - op["errors"] = dict(zip(labels, errors)) + op.errors = dict(zip(evol_basis, errors)) # rotate/interpolate to target grid if targetgrid is not None: b = interpolation.InterpolatorDispatcher( - xgrid=eko.bases.targetgrid, + xgrid=eko.xgrid, polynomial_degree=eko.operator_card.configs.interpolation_polynomial_degree, mode_N=False, ) rot = b.get_interpolation(targetgrid) for evpdf in out_grid.values(): - for pdf_label in evpdf["pdfs"]: - evpdf["pdfs"][pdf_label] = np.matmul(rot, evpdf["pdfs"][pdf_label]) - if evpdf["errors"] is not None: - evpdf["errors"][pdf_label] = np.matmul( - rot, evpdf["errors"][pdf_label] - ) - - return out_grid + for pdf_label in evpdf.pdfs: + evpdf.pdfs[pdf_label] = np.matmul(rot, evpdf.pdfs[pdf_label]) + if evpdf.errors is not None: + evpdf.errors[pdf_label] = np.matmul(rot, evpdf.errors[pdf_label]) + # cast back to be backward compatible + real_out_grid = {} + for ep, res in out_grid.items(): + real_out_grid[ep] = {"pdfs": res.pdfs, "errors": res.errors} + return real_out_grid diff --git a/src/ekobox/cards.py b/src/ekobox/cards.py index c7536bc50..86233c0df 100644 --- a/src/ekobox/cards.py +++ b/src/ekobox/cards.py @@ -1,4 +1,5 @@ """Tools to generate runcards.""" + import os from math import nan @@ -13,14 +14,9 @@ couplings=dict( alphas=0.118, alphaem=0.007496252, - scale=91.2, - num_flavs_ref=5, - max_num_flavs=6, + ref=(91.2, 5), ), heavy=dict( - num_flavs_init=4, - num_flavs_max_pdf=6, - intrinsic_flavors=[4], masses=[ReferenceRunning([mq, nan]) for mq in (2.0, 4.5, 173.07)], masses_scheme="POLE", matching_ratios=[1.0, 1.0, 1.0], @@ -32,7 +28,7 @@ ) _operator = dict( - mu0=1.65, + init=(1.65, 4), mugrid=[(100.0, 5)], xgrid=np.geomspace(1e-7, 1.0, 50).tolist(), configs=dict( diff --git a/src/ekobox/cli/__init__.py b/src/ekobox/cli/__init__.py index 241ca45cc..8d0e22df7 100644 --- a/src/ekobox/cli/__init__.py +++ b/src/ekobox/cli/__init__.py @@ -1,3 +1,4 @@ """EKO CLI definition.""" + from . import convert, inspect, log, run, runcards from .base import command diff --git a/src/ekobox/cli/base.py b/src/ekobox/cli/base.py index e1876eb73..34642626d 100644 --- a/src/ekobox/cli/base.py +++ b/src/ekobox/cli/base.py @@ -1,4 +1,5 @@ """Base command definition.""" + import click CONTEXT_SETTINGS = dict(help_option_names=["-h", "--help"]) diff --git a/src/ekobox/cli/convert.py b/src/ekobox/cli/convert.py index eded7997c..f8411bf91 100644 --- a/src/ekobox/cli/convert.py +++ b/src/ekobox/cli/convert.py @@ -1,4 +1,5 @@ """Upgrade old files.""" + import pathlib from typing import Optional diff --git a/src/ekobox/cli/inspect.py b/src/ekobox/cli/inspect.py index f37f09cce..c355fce61 100644 --- a/src/ekobox/cli/inspect.py +++ b/src/ekobox/cli/inspect.py @@ -1,4 +1,5 @@ """Launch EKO calculations, with legacy mu2grid mode.""" + import pathlib import click @@ -27,7 +28,7 @@ def subcommand(ctx, path: pathlib.Path): @click.pass_obj def sub_mu2(operator: EKO): """Check operator's mu2grid.""" - rich.print_json(data=operator.mu2grid.tolist()) + rich.print_json(data=operator.mu2grid) @subcommand.command("cards") diff --git a/src/ekobox/cli/library.py b/src/ekobox/cli/library.py index 911f5ccaa..04cc980d7 100644 --- a/src/ekobox/cli/library.py +++ b/src/ekobox/cli/library.py @@ -1,4 +1,5 @@ """Library of reusable options and elements.""" + import pathlib import click diff --git a/src/ekobox/cli/log.py b/src/ekobox/cli/log.py index 38a63d4a3..2dcd7d9e0 100644 --- a/src/ekobox/cli/log.py +++ b/src/ekobox/cli/log.py @@ -1,4 +1,5 @@ """Logging settings.""" + import logging from rich.console import Console diff --git a/src/ekobox/cli/run.py b/src/ekobox/cli/run.py index 16e11c5fd..44cfe216e 100644 --- a/src/ekobox/cli/run.py +++ b/src/ekobox/cli/run.py @@ -1,4 +1,5 @@ """Launch EKO calculations, with legacy mu2grid mode.""" + import pathlib from typing import Sequence @@ -52,11 +53,11 @@ def subcommand(paths: Sequence[pathlib.Path]): else: output = operator.parent / OUTPUT - theory = yaml.safe_load(theory.read_text(encoding="utf-8")) - if "order" in theory: - theory = TheoryCard.from_dict(theory) - operator = yaml.safe_load(operator.read_text(encoding="utf-8")) - if "configs" in operator: - operator = OperatorCard.from_dict(operator) + tc = yaml.safe_load(theory.read_text(encoding="utf-8")) + if "order" in tc: + tc = TheoryCard.from_dict(tc) + oc = yaml.safe_load(operator.read_text(encoding="utf-8")) + if "configs" in oc: + oc = OperatorCard.from_dict(oc) - eko.solve(theory, operator, path=output) + eko.solve(tc, oc, path=output) diff --git a/src/ekobox/cli/runcards.py b/src/ekobox/cli/runcards.py index 1ad7d91d4..99db353bd 100644 --- a/src/ekobox/cli/runcards.py +++ b/src/ekobox/cli/runcards.py @@ -1,7 +1,10 @@ """Subcommand to manage runcards.""" + import logging import pathlib +import numpy as np + from .. import cards from . import library as lib from .base import command @@ -33,7 +36,7 @@ def sub_example(destination: pathlib.Path): theory.order = (1, 0) cards.dump(theory.raw, path=destination / "theory.yaml") operator = cards.example.operator() - operator.mu0 = 1.65 - operator.mu2grid = [1e5] + operator.init = (1.65, 4) + operator.mugrid = [(np.sqrt(1e5), 5)] cards.dump(operator.raw, path=destination / "operator.yaml") _logger.info(f"Runcards generated to '{destination}'") diff --git a/src/ekobox/evol_pdf.py b/src/ekobox/evol_pdf.py index 49cda53b6..9da6dda65 100644 --- a/src/ekobox/evol_pdf.py +++ b/src/ekobox/evol_pdf.py @@ -1,14 +1,15 @@ """Tools to evolve actual PDFs.""" + import pathlib -from collections import defaultdict import numpy as np -import eko from eko import basis_rotation as br from eko.io import EKO +from eko.runner import managed from . import apply, genpdf, info_file +from .utils import regroup_evolgrid DEFAULT_NAME = "eko.tar" @@ -47,6 +48,18 @@ def evolve_pdfs( info_update : dict dict of info to add or update to default info file """ + # separate by nf the evolgrid (and order per nf/q) + q2block_per_nf = regroup_evolgrid(operators_card.mugrid) + + # check we have disjoint scale ranges + nfs = list(q2block_per_nf.keys()) + for j in range(len(nfs) - 1): + # equal points are allowed by LHAPDF + if q2block_per_nf[nfs[j]][-1] > q2block_per_nf[nfs[j + 1]][0]: + raise ValueError( + f"Last scale point for nf={nfs[j]} is bigger than first in nf={nfs[j+1]}" + ) + # update op and th cards if path is not None: eko_path = pathlib.Path(path) @@ -55,17 +68,21 @@ def evolve_pdfs( else: if store_path is None: raise ValueError("'store_path' required if 'path' is not provided.") - eko.solve(theory_card, operators_card, path=store_path) + managed.solve(theory_card, operators_card, path=store_path) eko_path = store_path # apply PDF to eko evolved_PDF_list = [] + q2block_per_nf = {} with EKO.read(eko_path) as eko_output: for initial_PDF in initial_PDF_list: evolved_PDF_list.append( apply.apply_pdf(eko_output, initial_PDF, targetgrid) ) + # separate by nf the evolgrid (and order per nf/q) + q2block_per_nf = regroup_evolgrid(eko_output.evolgrid) # pylint: disable=E1101 + # update info file if targetgrid is None: targetgrid = operators_card.xgrid @@ -80,9 +97,6 @@ def evolve_pdfs( info_update=info_update, ) - # separate by nf the evolgrid (and order per nf/q) - q2block_per_nf = regroup_evolgrid(eko_output.evolgrid) - # write all replicas all_member_blocks = [] for evolved_PDF in evolved_PDF_list: @@ -96,14 +110,6 @@ def evolve_pdfs( genpdf.install_pdf(name) -def regroup_evolgrid(evolgrid: list): - """Split evolution points by nf and sort by scale.""" - by_nf = defaultdict(list) - for q, nf in sorted(evolgrid, key=lambda ep: ep[1]): - by_nf[nf].append(q) - return {nf: sorted(qs) for nf, qs in by_nf.items()} - - def collect_blocks(evolved_PDF: dict, q2block_per_nf: dict, xgrid: list): """Collect all LHAPDF blocks for a given replica. @@ -130,7 +136,7 @@ def pdf_xq2(pid, x, Q2): pdf_xq2, xgrid=xgrid, sorted_q2grid=q2grid, - pids=br.flavor_basis_pids, + pids=np.array(br.flavor_basis_pids), ) all_blocks.append(block) return all_blocks diff --git a/src/ekobox/genpdf/__init__.py b/src/ekobox/genpdf/__init__.py index af94a410e..d6c427989 100644 --- a/src/ekobox/genpdf/__init__.py +++ b/src/ekobox/genpdf/__init__.py @@ -1,4 +1,5 @@ """Create fake PDF sets for debugging.""" + import copy import logging import pathlib @@ -16,7 +17,7 @@ def take_data( - parent_pdf_set: Optional[Union[str, dict]] = None, + parent_pdf_set=None, members: bool = False, xgrid: Optional[List[float]] = None, evolgrid: Optional[List[EPoint]] = None, @@ -62,7 +63,7 @@ def take_data( all_blocks.append( [ generate_block( - toylh.xfxQ2, xgrid, sorted_q2grid, br.flavor_basis_pids + toylh.xfxQ2, xgrid, sorted_q2grid, list(br.flavor_basis_pids) ) ] ) @@ -81,12 +82,12 @@ def take_data( all_blocks.append( [ generate_block( - lambda pid, x, Q2: 0.0 - if pid not in parent_pdf_set - else parent_pdf_set[pid](x, Q2), + lambda pid, x, Q2: ( + 0.0 if pid not in parent_pdf_set else parent_pdf_set[pid](x, Q2) + ), xgrid, sorted_q2grid, - br.flavor_basis_pids, + list(br.flavor_basis_pids), ) ] ) diff --git a/src/ekobox/genpdf/export.py b/src/ekobox/genpdf/export.py index 98bab23b0..f3ca8d31d 100644 --- a/src/ekobox/genpdf/export.py +++ b/src/ekobox/genpdf/export.py @@ -1,4 +1,5 @@ """PDF set writer.""" + import io import pathlib import re diff --git a/src/ekobox/genpdf/flavors.py b/src/ekobox/genpdf/flavors.py index 2798ccb19..6b7d90ebe 100644 --- a/src/ekobox/genpdf/flavors.py +++ b/src/ekobox/genpdf/flavors.py @@ -1,4 +1,5 @@ """Collection of flavor tools.""" + import copy import numpy as np diff --git a/src/ekobox/genpdf/load.py b/src/ekobox/genpdf/load.py index f4ecb9f74..988038998 100644 --- a/src/ekobox/genpdf/load.py +++ b/src/ekobox/genpdf/load.py @@ -1,4 +1,5 @@ """PDF set elements loaders.""" + import pathlib import numpy as np diff --git a/src/ekobox/info_file.py b/src/ekobox/info_file.py index 2f99d8377..16dde0197 100644 --- a/src/ekobox/info_file.py +++ b/src/ekobox/info_file.py @@ -1,6 +1,8 @@ """LHAPDF info file utilities.""" + import copy import math +from typing import Any, Dict import numpy as np @@ -8,6 +10,7 @@ from eko.io.runcards import OperatorCard, TheoryCard from .genpdf import load +from .utils import regroup_evolgrid def build( @@ -15,19 +18,19 @@ def build( operators_card: OperatorCard, num_members: int, info_update: dict, -): - """Generate a lhapdf info file from theory and operators card. +) -> dict: + """Generate a lhapdf info file. Parameters ---------- - theory_card : dict + theory_card : theory card - operators_card : dict - operators_card - num_members : int + operators_card : + operators card + num_members : number of pdf set members - info_update : dict - info to update + info_update : + additional info to update Returns ------- @@ -35,7 +38,9 @@ def build( info file in lhapdf format """ template_info = copy.deepcopy(load.template_info) - template_info["SetDesc"] = "Evolved PDF from " + str(operators_card.mu0) + " GeV" + template_info["SetDesc"] = ( + "Evolved PDF from " + str(operators_card.init[0]) + " GeV" + ) template_info["Authors"] = "" template_info["FlavorScheme"] = "variable" template_info.update(info_update) @@ -48,15 +53,42 @@ def build( template_info["OrderQCD"] = theory_card.order[0] - 1 template_info["QMin"] = round(math.sqrt(operators_card.mu2grid[0]), 4) template_info["QMax"] = round(math.sqrt(operators_card.mu2grid[-1]), 4) - template_info["MZ"] = theory_card.couplings.scale + template_info["MZ"] = theory_card.couplings.ref[0] template_info["MUp"] = 0.0 template_info["MDown"] = 0.0 template_info["MStrange"] = 0.0 template_info["MCharm"] = theory_card.heavy.masses.c.value template_info["MBottom"] = theory_card.heavy.masses.b.value template_info["MTop"] = theory_card.heavy.masses.t.value + # dump alphas + template_info.update(build_alphas(theory_card, operators_card)) + return template_info + + +def build_alphas( + theory_card: TheoryCard, + operators_card: OperatorCard, +) -> dict: + """Generate a couplings section of lhapdf info file. + + Parameters + ---------- + theory_card : dict + theory card + operators_card : dict + operators card + + Returns + ------- + dict + info file section in lhapdf format + """ + # start with meta stuff + template_info: Dict[str, Any] = {} template_info["AlphaS_MZ"] = theory_card.couplings.alphas template_info["AlphaS_OrderQCD"] = theory_card.order[0] - 1 + # prepare + evolgrid = regroup_evolgrid(operators_card.mugrid) evmod = couplings.couplings_mod_ev(operators_card.configs.evolution_method) quark_masses = [(x.value) ** 2 for x in theory_card.heavy.masses] sc = couplings.Couplings( @@ -67,19 +99,14 @@ def build( hqm_scheme=theory_card.heavy.masses_scheme, thresholds_ratios=np.power(list(iter(theory_card.heavy.matching_ratios)), 2.0), ) - alphas_values = np.array( - [ - 4.0 - * np.pi - * sc.a_s( - muf2, - ) - for muf2 in operators_card.mu2grid - ], - dtype=float, - ) - template_info["AlphaS_Vals"] = alphas_values.tolist() - template_info["AlphaS_Qs"] = np.array( - [mu for mu, _ in operators_card.mugrid] - ).tolist() + # add actual values + alphas_values = [] + alphas_qs = [] + for nf, mus in evolgrid.items(): + for mu in mus: + alphas_values.append(float(4.0 * np.pi * sc.a_s(mu * mu, nf_to=nf))) + alphas_qs.append(mu) + + template_info["AlphaS_Vals"] = alphas_values + template_info["AlphaS_Qs"] = alphas_qs return template_info diff --git a/src/ekobox/mock.py b/src/ekobox/mock.py index ad56ad0cb..06ba8fae9 100644 --- a/src/ekobox/mock.py +++ b/src/ekobox/mock.py @@ -1,4 +1,5 @@ """Mocking tools.""" + import numpy as np diff --git a/src/ekobox/utils.py b/src/ekobox/utils.py index 095e605e9..5a00314e7 100644 --- a/src/ekobox/utils.py +++ b/src/ekobox/utils.py @@ -1,5 +1,7 @@ """Generic utilities to work with EKOs.""" -import os + +from collections import defaultdict +from pathlib import Path from typing import Optional import numpy as np @@ -14,7 +16,7 @@ def ekos_product( eko_fin: EKO, rtol: float = 1e-6, atol: float = 1e-10, - path: Optional[os.PathLike] = None, + path: Optional[Path] = None, ): """Compute the product of two ekos. @@ -37,7 +39,7 @@ def ekos_product( # another kind of output which includes the theory and operator runcards) ep_match = eko_ini.approx( - (eko_fin.operator_card.mu0**2, eko_fin.theory_card.heavy.num_flavs_init), + (eko_fin.operator_card.init[0] ** 2, eko_fin.operator_card.init[1]), rtol=rtol, atol=atol, ) @@ -77,3 +79,11 @@ def ekos_product( if path is not None: final_eko.close() + + +def regroup_evolgrid(evolgrid: list): + """Split evolution points by nf and sort by scale.""" + by_nf = defaultdict(list) + for q, nf in sorted(evolgrid, key=lambda ep: ep[1]): + by_nf[nf].append(q) + return {nf: sorted(qs) for nf, qs in by_nf.items()} diff --git a/src/ekomark/__init__.py b/src/ekomark/__init__.py index f3c8b2d7c..7f002b449 100644 --- a/src/ekomark/__init__.py +++ b/src/ekomark/__init__.py @@ -1,4 +1,5 @@ """Benchmark package for eko.""" + from eko import basis_rotation as br diff --git a/src/ekomark/benchmark/external/LHA_utils.py b/src/ekomark/benchmark/external/LHA_utils.py index 39043394e..f58d44d3e 100644 --- a/src/ekomark/benchmark/external/LHA_utils.py +++ b/src/ekomark/benchmark/external/LHA_utils.py @@ -1,4 +1,5 @@ """Implementation of :cite:`Giele:2002hx` and :cite:`Dittmar:2005ed` (NNLO and polarized).""" + import pathlib import numpy as np diff --git a/src/ekomark/benchmark/external/apfel_utils.py b/src/ekomark/benchmark/external/apfel_utils.py index b209d54a9..6659b3e58 100644 --- a/src/ekomark/benchmark/external/apfel_utils.py +++ b/src/ekomark/benchmark/external/apfel_utils.py @@ -1,4 +1,5 @@ """|APFEL| interface.""" + import time import numpy as np diff --git a/src/ekomark/benchmark/external/lhapdf_utils.py b/src/ekomark/benchmark/external/lhapdf_utils.py index 6e327f86b..40a591070 100644 --- a/src/ekomark/benchmark/external/lhapdf_utils.py +++ b/src/ekomark/benchmark/external/lhapdf_utils.py @@ -1,4 +1,5 @@ """LHAPDF interface.""" + import numpy as np from eko import basis_rotation as br diff --git a/src/ekomark/benchmark/external/pegasus_utils.py b/src/ekomark/benchmark/external/pegasus_utils.py index 14be7c71d..373a3d334 100644 --- a/src/ekomark/benchmark/external/pegasus_utils.py +++ b/src/ekomark/benchmark/external/pegasus_utils.py @@ -1,4 +1,5 @@ """|Pegasus| interface.""" + import numpy as np from eko import basis_rotation as br diff --git a/src/ekomark/benchmark/runner.py b/src/ekomark/benchmark/runner.py index 180f439e6..2b003e1b3 100644 --- a/src/ekomark/benchmark/runner.py +++ b/src/ekomark/benchmark/runner.py @@ -1,4 +1,5 @@ """Abstract layer for running the benchmarks.""" + import functools import logging import os @@ -13,7 +14,6 @@ import eko from eko import EKO from eko import basis_rotation as br -from eko.io import manipulate from ekobox import apply from .. import pdfname @@ -116,22 +116,14 @@ def run_me(self, theory, ocard, _pdf): os.makedirs(output_path) # rotating to evolution basis if requested with EKO.edit(path) as out_copy: - change_lab = False - if self.rotate_to_evolution_basis: - qed = theory["QED"] > 0 - if not qed: - manipulate.to_evol(out_copy, source=True, target=True) - else: - manipulate.to_uni_evol(out_copy, source=True, target=True) - change_lab = True - save_operators_to_pdf( output_path, theory, ocard, out_copy, self.skip_pdfs(theory), - change_lab, + self.rotate_to_evolution_basis, + theory["QED"] > 0, ) else: # else we always rerun diff --git a/src/ekomark/data/__init__.py b/src/ekomark/data/__init__.py index 797409204..89fb6377b 100644 --- a/src/ekomark/data/__init__.py +++ b/src/ekomark/data/__init__.py @@ -1 +1,30 @@ """EKO database configuration.""" + +from typing import Union + +from eko.io.runcards import Legacy, OperatorCard, TheoryCard +from eko.io.types import RawCard + + +def update_runcards( + theory: Union[RawCard, TheoryCard], operator: Union[RawCard, OperatorCard] +): + """Update legacy runcards. + + This function is mainly defined for compatibility with the old interface. + Prefer direct usage of :class:`Legacy` in new code. + + Consecutive applications of this function yield identical results:: + + cards = update(theory, operator) + assert update(*cards) == cards + + """ + if isinstance(theory, TheoryCard) or isinstance(operator, OperatorCard): + # if one is not a dict, both have to be new cards + assert isinstance(theory, TheoryCard) + assert isinstance(operator, OperatorCard) + return theory, operator + + cards = Legacy(theory, operator) + return cards.new_theory, cards.new_operator diff --git a/src/ekomark/data/operators.py b/src/ekomark/data/operators.py index dfbbc6ad9..03ad4d349 100644 --- a/src/ekomark/data/operators.py +++ b/src/ekomark/data/operators.py @@ -1,4 +1,5 @@ """Operator card configurations.""" + from banana.data import cartesian_product, sql from eko import interpolation @@ -14,7 +15,7 @@ ev_op_max_order=10, ev_op_iterations=10, backward_inversion="expanded", - n_integration_cores=0, + n_integration_cores=1, debug_skip_non_singlet=False, debug_skip_singlet=False, mugrid=[10], diff --git a/src/ekomark/navigator/__init__.py b/src/ekomark/navigator/__init__.py index f1c70a907..de2b75f25 100644 --- a/src/ekomark/navigator/__init__.py +++ b/src/ekomark/navigator/__init__.py @@ -1,4 +1,5 @@ """ekomark specialization of the navigator.""" + import argparse import pathlib diff --git a/src/ekomark/navigator/glob.py b/src/ekomark/navigator/glob.py index ecb39b22f..a0c393884 100644 --- a/src/ekomark/navigator/glob.py +++ b/src/ekomark/navigator/glob.py @@ -1,3 +1,4 @@ """Global variables register.""" + app = None glob = globals() diff --git a/src/ekomark/navigator/navigator.py b/src/ekomark/navigator/navigator.py index c624c0737..27bcc61ef 100644 --- a/src/ekomark/navigator/navigator.py +++ b/src/ekomark/navigator/navigator.py @@ -1,4 +1,5 @@ """EKO implementation of navigator.""" + import os import webbrowser diff --git a/src/ekomark/plots.py b/src/ekomark/plots.py index 92a155de3..5e2bee420 100644 --- a/src/ekomark/plots.py +++ b/src/ekomark/plots.py @@ -1,6 +1,8 @@ """Plotting tools to show the evolved PDF and the computed operators.""" + import io import pprint +from typing import Dict, List import matplotlib.pyplot as plt import numpy as np @@ -9,6 +11,7 @@ from matplotlib.colors import LogNorm from eko import basis_rotation as br +from eko.io import manipulate from eko.io.struct import EKO @@ -209,7 +212,15 @@ def plot_operator(var_name, op, op_err, log_operator=True, abs_operator=True): return fig -def save_operators_to_pdf(path, theory, ops, me: EKO, skip_pdfs, change_lab=False): +def save_operators_to_pdf( + path, + theory, + ops, + me: EKO, + skip_pdfs, + rotate_to_evolution_basis: bool, + qed: bool = False, +): """Output all operator heatmaps to PDF. Parameters @@ -224,15 +235,12 @@ def save_operators_to_pdf(path, theory, ops, me: EKO, skip_pdfs, change_lab=Fals DGLAP result skip_pdfs : list PDF to skip - change_lab : bool - set whether to rename the labels - + rotate_to_evolution_basis : bool + plot operators in evolution basis + qed : bool + plot operators in unified evolution basis, if the former is active """ - ops_names = list(me.bases.targetpids) - if np.allclose(ops_names, br.rotate_flavor_to_evolution): - ops_names = br.evol_basis_pids - else: - raise ValueError("Can not reconstruct PDF names") + ops_names = br.evol_basis_pids if rotate_to_evolution_basis else br.evol_basis_pids ops_id = f"o{ops['hash'][:6]}_t{theory['hash'][:6]}" path = f"{path}/{ops_id}.pdf" print(f"Plotting operators plots to {path}") @@ -244,16 +252,21 @@ def save_operators_to_pdf(path, theory, ops, me: EKO, skip_pdfs, change_lab=Fals # plot the operators # it's necessary to reshuffle the eko output - for mu2 in me.mu2grid: - results = me[mu2].operator - errors = me[mu2].error + for ep, op in me.items(): + if rotate_to_evolution_basis: + if not qed: + op = manipulate.to_evol(op, source=True, target=True) + else: + op = manipulate.to_uni_evol(op, source=True, target=True) + results = op.operator + errors = op.error # loop on pids for label_out, res, res_err in zip(ops_names, results, errors): if label_out in skip_pdfs: continue - new_op = {} - new_op_err = {} + new_op: Dict[int, List[float]] = {} + new_op_err: Dict[int, List[float]] = {} # loop on xgrid point for j in range(len(me.xgrid)): # loop on pid in @@ -269,17 +282,10 @@ def save_operators_to_pdf(path, theory, ops, me: EKO, skip_pdfs, change_lab=Fals for label_in in ops_names: if label_in in skip_pdfs: continue - lab_in = label_in - lab_out = label_out - if change_lab: - index_in = br.evol_basis_pids.index(label_in) - index_out = br.evol_basis_pids.index(label_out) - lab_in = br.evol_basis[index_in] - lab_out = br.evol_basis[index_out] fig = None try: fig = plot_operator( - f"Operator ({lab_in};{lab_out}) µ_F^2 = {mu2} GeV^2", + f"Operator ({label_in};{label_out}) µ_F^2 = {ep[0]} GeV^2, nf = {ep[1]}", new_op[label_in], new_op_err[label_in], ) diff --git a/src/ekore/anomalous_dimensions/polarized/space_like/__init__.py b/src/ekore/anomalous_dimensions/polarized/space_like/__init__.py index 1cb318930..68c9dc9f6 100644 --- a/src/ekore/anomalous_dimensions/polarized/space_like/__init__.py +++ b/src/ekore/anomalous_dimensions/polarized/space_like/__init__.py @@ -50,6 +50,7 @@ def gamma_ns(order, mode, n, nf): raise NotImplementedError("Non-singlet sector is not implemented") gamma_ns[1] = gamma_ns_1 if order[0] >= 3: + gamma_ns_2 = 0.0 if mode == 10101: gamma_ns_2 = as3.gamma_nsp(n, nf, cache) elif mode == 10201: diff --git a/src/ekore/anomalous_dimensions/polarized/space_like/as2.py b/src/ekore/anomalous_dimensions/polarized/space_like/as2.py index 95134d7ae..b031f26b2 100644 --- a/src/ekore/anomalous_dimensions/polarized/space_like/as2.py +++ b/src/ekore/anomalous_dimensions/polarized/space_like/as2.py @@ -59,8 +59,7 @@ def gamma_qg(n, nf, cache): gqg1_nfca = ( (S1**2 - S2 + Sp2m) * (n - 1) / (n * (n + 1)) - 4 * S1 / (n * (1 + n) ** 2) - - (-2 - 7 * n + 3 * n**2 - 4 * n**3 + n**4 + n**5) - / (n**3 * (1 + n) ** 3) + - (-2 - 7 * n + 3 * n**2 - 4 * n**3 + n**4 + n**5) / (n**3 * (1 + n) ** 3) ) * 2.0 gqg1_nfcf = ( (-(S1**2) + S2 + 2 * S1 / n) * (n - 1) / (n * (n + 1)) @@ -150,21 +149,12 @@ def gamma_gg(n, nf, cache): * S1 * (72 + 144 * n + 67 * n**2 + 134 * n**3 + 67 * n**4) / (9 * n**2 * (n + 1) ** 2) - - ( - 144 - + 258 * n - + 7 * n**2 - + 698 * n**3 - + 469 * n**4 - + 144 * n**5 - + 48 * n**6 - ) + - (144 + 258 * n + 7 * n**2 + 698 * n**3 + 469 * n**4 + 144 * n**5 + 48 * n**6) / (9 * n**3 * (1 + n) ** 3) ) * 0.5 ggg1_canf = ( -5 * S1 / 9 - + (-3 + 13 * n + 16 * n**2 + 6 * n**3 + 3 * n**4) - / (9 * n**2 * (1 + n) ** 2) + + (-3 + 13 * n + 16 * n**2 + 6 * n**3 + 3 * n**4) / (9 * n**2 * (1 + n) ** 2) ) * 4 ggg1_cfnf = (4 + 2 * n - 8 * n**2 + n**3 + 5 * n**4 + 3 * n**5 + n**6) / ( n**3 * (1 + n) ** 3 diff --git a/src/ekore/anomalous_dimensions/polarized/space_like/as3.py b/src/ekore/anomalous_dimensions/polarized/space_like/as3.py index a180c6782..76432acbf 100644 --- a/src/ekore/anomalous_dimensions/polarized/space_like/as3.py +++ b/src/ekore/anomalous_dimensions/polarized/space_like/as3.py @@ -177,9 +177,9 @@ def gamma_gq(N, nf, cache): """ S1 = c.get(c.S1, cache, N) - S2 = c.get(c.S1, cache, N) - S3 = c.get(c.S1, cache, N) - S4 = c.get(c.S1, cache, N) + S2 = c.get(c.S2, cache, N) + S3 = c.get(c.S3, cache, N) + S4 = c.get(c.S4, cache, N) B3 = (-(S1**3) - 3 * S1 * S2 - 2 * S3) / N B4 = (S1**4 + 6 * S1**2 * S2 + 3 * S2**2 + 8 * S1 * S3 + 6 * S4) / N E1 = S1 / N**2 + (-zeta2 + S2) / N @@ -256,8 +256,8 @@ def gamma_ps(N, nf, cache): """ S1 = c.get(c.S1, cache, N) - S2 = c.get(c.S1, cache, N) - S3 = c.get(c.S1, cache, N) + S2 = c.get(c.S2, cache, N) + S3 = c.get(c.S3, cache, N) B3 = (-(S1**3) - 3 * S1 * S2 - 2 * S3) / N B31 = ( -((1 / (1 + N) + S1) ** 3) diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/__init__.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/__init__.py index 32687e489..6a350f1ee 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/__init__.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/__init__.py @@ -65,6 +65,7 @@ def gamma_ns(order, mode, n, nf, n3lo_ad_variation, use_fhmruvv=False): gamma_ns[1] = gamma_ns_1 # NNLO and beyond if order[0] >= 3: + gamma_ns_2 = 0.0 if mode == 10101: gamma_ns_2 = as3.gamma_nsp(n, nf, cache) elif mode == 10201: @@ -74,6 +75,7 @@ def gamma_ns(order, mode, n, nf, n3lo_ad_variation, use_fhmruvv=False): gamma_ns[2] = gamma_ns_2 # N3LO if order[0] >= 4: + gamma_ns_3 = 0.0 if use_fhmruvv: if mode == 10101: gamma_ns_3 = as4.fhmruvv.gamma_nsp( diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as2.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as2.py index 01a115c5b..28f8533f4 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as2.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as2.py @@ -18,7 +18,7 @@ def gamma_nsm(n, nf, cache): r"""Compute the |NLO| valence-like non-singlet anomalous dimension. - Implements Eq. (3.5) of :cite:`Moch:2004pa`. + Implements Eq. (3.6) of :cite:`Moch:2004pa`. Parameters ---------- diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as3.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as3.py index b9bbd356d..98705f491 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as3.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as3.py @@ -5,6 +5,7 @@ Note that the QCD colour factors have been hard-wired in the parametrizations. """ + import numba as nb import numpy as np diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/__init__.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/__init__.py index 9b3b37517..5e46cbb15 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/__init__.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/__init__.py @@ -3,6 +3,7 @@ For further documentation see :doc:`N3LO anomalous dimensions <../../../theory/N3LO_ad>` """ + import numba as nb import numpy as np diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/__init__.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/__init__.py index e92a55ffa..ec8949119 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/__init__.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/__init__.py @@ -2,6 +2,7 @@ Authors follow Pegasus convention and so there is an additional global minus sign with respect to our conventions. """ + import numba as nb import numpy as np diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggg.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggg.py index 1d2a2555b..640448e6a 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggg.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggg.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{gg}^{(3)}`.""" + import numba as nb from ......harmonics import cache as c diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggq.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggq.py index 97904f459..f34aea10a 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggq.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/ggq.py @@ -1,15 +1,29 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{gq}^{(3)}`.""" + import numba as nb +from eko.constants import zeta2 + from ......harmonics import cache as c -from ......harmonics.log_functions import lm12, lm13, lm14, lm15 +from ......harmonics.log_functions import ( + lm11, + lm12, + lm12m1, + lm13, + lm14, + lm14m1, + lm15, + lm15m1, +) @nb.njit(cache=True) def gamma_gq(n, nf, cache, variation): r"""Compute the |N3LO| gluon-quark singlet anomalous dimension. - The routine is taken from :cite:`Moch:2023tdj`. + The routine is taken from :cite:`Falcioni:2024xyt`. + Lower moments were published also in :cite:`Moch:2023tdj`. + Parameters ---------- @@ -39,76 +53,118 @@ def gamma_gq(n, nf, cache, variation): # Known large-x coefficients x1L5cff = 1.3443073 * 10 - 5.4869684 * 0.1 * nf x1L4cff = 3.7539831 * 10**2 - 3.4494742 * 10 * nf + 8.7791495 * 0.1 * nf2 + y1L5cff = 2.2222222 * 10 - 5.4869684 * 0.1 * nf + y1L4cff = 6.6242163 * 10**2 - 4.7992684 * 10 * nf + 8.7791495 * 0.1 * nf2 # Small-x, Casimir scaled from P_gg (approx. for bfkl1) bfkl0 = -8.3086173 * 10**3 / 2.25 bfkl1 = (-1.0691199 * 10**5 - nf * 9.9638304 * 10**2) / 2.25 + # Small-x double-logs with x^0 + x0L6cff = 5.2235940 * 10 - 7.3744856 * nf + x0L5cff = -2.9221399 * 10**2 + 1.8436214 * nf + x0L4cff = 7.3106077 * 10**3 - 3.7887135 * 10**2 * nf - 3.2438957 * 10 * nf2 + # The resulting part of the function P3GQ01 = ( +bfkl0 * (-(6 / (-1 + n) ** 4)) + bfkl1 * 2 / (-1 + n) ** 3 + + x0L6cff * 720 / n**7 + + x0L5cff * -120 / n**6 + + x0L4cff * 24 / n**5 + x1L4cff * lm14(n, S1, S2, S3, S4) + x1L5cff * lm15(n, S1, S2, S3, S4, S5) + + y1L4cff * lm14m1(n, S1, S2, S3, S4) + + y1L5cff * lm15m1(n, S1, S2, S3, S4, S5) ) # The selected approximations for nf = 3, 4, 5 if nf == 3: P3gqApp1 = ( P3GQ01 - + 3.4 * bfkl1 * (-(1 / (-1 + n) ** 2)) - - 161562.0 * 1 / ((-1 + n) * n) - + 36469.0 * 1 / n - + 72317.0 * (-(1 / n**2)) - - 3977.3 * lm12(n, S1, S2) - + 484.4 * lm13(n, S1, S2, S3) + + 6.0 * bfkl1 * (-(1 / (-1 + n) ** 2)) + - 744384.0 * 1 / ((-1 + n) * n) + + 2453640.0 * 1 / n + - 1540404.0 * (2 / (1 + n) + 1 / (2 + n)) + + 1933026.0 * -1 / n**2 + + 1142069.0 * 2 / n**3 + + 162196.0 * -6 / n**4 + - 2172.1 * lm13(n, S1, S2, S3) + - 93264.1 * lm12(n, S1, S2) + - 786973.0 * lm11(n, S1) + + 875383.0 * lm12m1(n, S1, S2) ) P3gqApp2 = ( P3GQ01 - + 5.4 * bfkl1 * (-(1 / (-1 + n) ** 2)) - - 546482.0 * 1 / ((-1 + n) * n) - - 39464.0 * 1 / n - - 401000.0 * (-(1 / n**2)) - + 13270.0 * lm12(n, S1, S2) - + 3289.0 * lm13(n, S1, S2, S3) + + 3.0 * bfkl1 * (-(1 / (-1 + n) ** 2)) + + 142414.0 * 1 / ((-1 + n) * n) + - 326525.0 * 1 / n + + 2159787.0 * ((3 + n) / (2 + 3 * n + n**2)) + - 289064.0 * -1 / n**2 + - 176358.0 * 2 / n**3 + + 156541.0 * -6 / n**4 + + 9016.5 * lm13(n, S1, S2, S3) + + 136063.0 * lm12(n, S1, S2) + + 829482.0 * lm11(n, S1) + - 2359050.0 * (S1 - n * (zeta2 - S2)) / n**2 ) elif nf == 4: P3gqApp1 = ( P3GQ01 - + 3.4 * bfkl1 * (-(1 / (-1 + n) ** 2)) - - 158805.0 * 1 / ((-1 + n) * n) - + 35098.0 * 1 / n - + 87258.0 * (-(1 / n**2)) - - 4834.1 * lm12(n, S1, S2) - + 176.6 * lm13(n, S1, S2, S3) + + 6.0 * bfkl1 * (-(1 / (-1 + n) ** 2)) + - 743535.0 * 1 / ((-1 + n) * n) + + 2125286.0 * 1 / n + - 1332472.0 * (2 / (1 + n) + 1 / (2 + n)) + + 1631173.0 * -1 / n**2 + + 1015255.0 * 2 / n**3 + + 142612.0 * -6 / n**4 + - 1910.4 * lm13(n, S1, S2, S3) + - 80851.0 * lm12(n, S1, S2) + - 680219.0 * lm11(n, S1) + + 752733.0 * lm12m1(n, S1, S2) ) P3gqApp2 = ( P3GQ01 - + 5.4 * bfkl1 * (-(1 / (-1 + n) ** 2)) - - 547215.0 * 1 / ((-1 + n) * n) - - 41523.0 * 1 / n - - 390350.0 * (-(1 / n**2)) - + 12571.0 * lm12(n, S1, S2) - + 3007.0 * lm13(n, S1, S2, S3) + + 3.0 * bfkl1 * (-(1 / (-1 + n) ** 2)) + + 160568.0 * 1 / ((-1 + n) * n) + - 361207.0 * 1 / n + + 2048948.0 * ((3 + n) / (2 + 3 * n + n**2)) + - 245963.0 * -1 / n**2 + - 171312.0 * 2 / n**3 + + 163099.0 * -6 / n**4 + + 8132.2 * lm13(n, S1, S2, S3) + + 124425.0 * lm12(n, S1, S2) + + 762435.0 * lm11(n, S1) + - 2193335.0 * (S1 - n * (zeta2 - S2)) / n**2 ) elif nf == 5: P3gqApp1 = ( P3GQ01 - + 3.4 * bfkl1 * (-(1 / (-1 + n) ** 2)) - - 154336.0 * 1 / ((-1 + n) * n) - + 33889.0 * 1 / n - + 103440.0 * (-(1 / n**2)) - - 5745.8 * lm12(n, S1, S2) - - 128.6 * lm13(n, S1, S2, S3) + + 6.0 * bfkl1 * (-(1 / (-1 + n) ** 2)) + - 785864.0 * 1 / ((-1 + n) * n) + + 285034.0 * 1 / n + - 131648.0 * (2 / (1 + n) + 1 / (2 + n)) + - 162840.0 * -1 / n**2 + + 321220.0 * 2 / n**3 + + 12688.0 * -6 / n**4 + + 1423.4 * lm13(n, S1, S2, S3) + + 1278.9 * lm12(n, S1, S2) + - 30919.9 * lm11(n, S1) + + 47588.0 * lm12m1(n, S1, S2) ) P3gqApp2 = ( P3GQ01 - + 5.4 * bfkl1 * (-(1 / (-1 + n) ** 2)) - - 546236.0 * 1 / ((-1 + n) * n) - - 43421.0 * 1 / n - - 378460.0 * (-(1 / n**2)) - + 11816.0 * lm12(n, S1, S2) - + 2727.3 * lm13(n, S1, S2, S3) + + 3.0 * bfkl1 * (-(1 / (-1 + n) ** 2)) + + 177094.0 * 1 / ((-1 + n) * n) + - 470694.0 * 1 / n + + 1348823.0 * ((3 + n) / (2 + 3 * n + n**2)) + - 52985.0 * -1 / n**2 + - 87354.0 * 2 / n**3 + + 176885.0 * -6 / n**4 + + 4748.8 * lm13(n, S1, S2, S3) + + 65811.9 * lm12(n, S1, S2) + + 396390.0 * lm11(n, S1) + - 1190212.0 * (S1 - n * (zeta2 - S2)) / n**2 ) else: raise NotImplementedError("nf=6 is not available at N3LO") diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsm.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsm.py index 5d80c9c75..30280b015 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsm.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsm.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ns,-}^{(3)}`.""" + import numba as nb from eko.constants import CF, zeta3 diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsp.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsp.py index de69d5313..6da3354f9 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsp.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsp.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ns,+}^{(3)}`.""" + import numba as nb from eko.constants import CF, zeta3 diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsv.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsv.py index 9b7dcfecd..b871dedad 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsv.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gnsv.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ns,v}^{(3)}`.""" + import numba as nb from ......harmonics import cache as c diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gps.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gps.py index 87a8ba15d..13ca9d32b 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gps.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gps.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ps}^{(3)}`.""" + import numba as nb from ......harmonics import cache as c diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gqg.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gqg.py index dd3244fd7..5d7a7b4fa 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gqg.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/fhmruvv/gqg.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{qg}^{(3)}`.""" + import numba as nb import numpy as np diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/ggq.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/ggq.py index b5b7eadbc..2fa0f725d 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/ggq.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/ggq.py @@ -19,6 +19,7 @@ lm14m1, lm14m2, lm15, + lm15m1, ) @@ -94,49 +95,37 @@ def gamma_gq_nf0(n, cache, variation): S5 = c.get(c.S5, cache, n) common = -22156.31283903764/np.power(-1. + n,4) + 95032.88047770769/np.power(-1. + n,3) - 37609.87654320987/np.power(n,7) - 35065.67901234568/np.power(n,6) - 175454.58483973087/np.power(n,5) - 375.3983146907502*lm14(n,S1,S2,S3,S4) - 13.443072702331962*lm15(n,S1,S2,S3,S4,S5) if variation == 1: - fit = -135325.37409909506/np.power(-1. + n,2) + 107389.69725534944/(-1. + n) - 281247.1594541515/(1. + n) + 145447.60744097419/(2. + n) - 1644.0474725539857*lm13(n,S1,S2,S3) + fit = -190798.78984643394/np.power(-1. + n,2) + 221131.0253655226/(-1. + n) + 648439.242059473/np.power(n,4) - 366347.6184986734/np.power(n,3) - 618607.6917836913/(1. + n) + 429310.45853894716/(2. + n) - 14371.95584746726*lm12(n,S1,S2) - 3733.573405767123*lm13(n,S1,S2,S3) - 2532.2371762381217*lm14m1(n,S1,S2,S3,S4) - 2065.2033221184793*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 2: - fit = -130157.18895885911/np.power(-1. + n,2) + 93282.05706699888/(-1. + n) - 169738.63893980338/(1. + n) + 9212.769374520116*lm12(n,S1,S2) - 223.51479074632925*lm13(n,S1,S2,S3) + fit = -181955.90739273484/np.power(-1. + n,2) + 174079.00572878437/(-1. + n) + 614415.2112591498/np.power(n,4) - 247925.1030423719/np.power(n,3) - 857285.692084171/(1. + n) - 465757.33455764863*lm11(n,S1) - 96058.685995113*lm12(n,S1,S2) - 8155.798140311963*lm13(n,S1,S2,S3) - 28516.09724542403*lm14m1(n,S1,S2,S3,S4) - 954.4182897594625*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 3: - fit = -130767.27520270286/np.power(-1. + n,2) + 94891.36609978844/(-1. + n) - 212410.3233945088/(1. + n) - 32955.07417912945*lm11(n,S1) - 1046.7526219200904*lm13(n,S1,S2,S3) + fit = 1.3256764418997709e6*(1/(-1. + n) - 1./n) - 274084.8755098396/np.power(-1. + n,2) - 562456.7287892306/(-1. + n) + 33100.78620012983/np.power(n,4) - 757963.2228636674/np.power(n,3) + 561634.5180237194/(1. + n) - 10366.577512205613*lm12(n,S1,S2) - 3308.849780595093*lm13(n,S1,S2,S3) + 3594.429612523227*lm14m1(n,S1,S2,S3,S4) - 164.77740102923354*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 4: - fit = -158783.450560317/np.power(-1. + n,2) + 90100.75345693348/(-1. + n) + 412018.22879229486/np.power(n,4) - 129027.27855213353/(1. + n) - 1753.8825871656047*lm13(n,S1,S2,S3) + fit = -407971.0442601025/np.power(-1. + n,2) + 1.6779394404324158e6/(-1. + n) - 1.8508191192624622e6/np.power(n,4) + 556695.4184628404/np.power(n,3) - 2.9603580600296143e6/np.power(n,2) - 1.6991648126491427e6/(1. + n) - 7644.442002706872*lm12(n,S1,S2) - 3016.5770039806234*lm13(n,S1,S2,S3) + 7449.550615450056*lm14m1(n,S1,S2,S3,S4) + 1121.5452001019141*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 5: - fit = -129693.48645695807/np.power(-1. + n,2) + 52876.75483885584/(-1. + n) + 158964.13837584556/np.power(n,3) - 85916.6315255873/(1. + n) - 1690.6720701417717*lm13(n,S1,S2,S3) + fit = -200706.92458750593/np.power(-1. + n,2) + 285544.01297554397/(-1. + n) + 598975.4725951094/np.power(n,4) - 459467.2186763565/np.power(n,3) - 125035.7898269595/(1. + n) - (469579.8213276177*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) - 19934.92974689708*lm12(n,S1,S2) - 4197.138060641495*lm13(n,S1,S2,S3) - 14354.398949387967*lm14m1(n,S1,S2,S3,S4) - 2780.1172673234187*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 6: - fit = -301210.2328458577/np.power(-1. + n,2) + 811215.7479286905/(-1. + n) - 1.242177631711221e6/np.power(n,2) - 857543.1305664484/(1. + n) - 1833.163010136661*lm13(n,S1,S2,S3) + fit = -213717.81278326/np.power(-1. + n,2) + 343080.67540216126/(-1. + n) + 736622.8254565693/np.power(n,4) - 673275.6329706735/np.power(n,3) + 1.541999929424894e6/(2. + n) + 1.2071530957537233e6*lm11(n,S1) + 197344.29014401618*lm12(n,S1,S2) + 7727.9806356929*lm13(n,S1,S2,S3) + 64812.92407405157*lm14m1(n,S1,S2,S3,S4) - 4944.138652016546*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 7: - fit = -122290.16043542989/np.power(-1. + n,2) + 71807.36048618097/(-1. + n) - 221400.82937350916/(2. + n) + 23236.477404056477*lm12(n,S1,S2) + 1938.8247584430924*lm13(n,S1,S2,S3) + fit = 694835.0487113381*(1/(-1. + n) - 1./n) - 234452.04501713923/np.power(-1. + n,2) - 189575.70173963293/(-1. + n) + 325918.06883470225/np.power(n,4) - 571607.5497870556/np.power(n,3) + 204293.30045438773/(2. + n) - 12272.59203346936*lm12(n,S1,S2) - 3510.9603747819533*lm13(n,S1,S2,S3) + 678.9706859669171*lm14m1(n,S1,S2,S3,S4) - 1069.1212905556267*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 8: - fit = -116702.31643837337/np.power(-1. + n,2) + 56325.17516760884/(-1. + n) - 448808.73529422894/(2. + n) - 134644.78516249143*lm11(n,S1) + 796.324422989612*lm13(n,S1,S2,S3) + fit = -66469.9146192077/np.power(-1. + n,2) - 612876.780153988/(-1. + n) + 2.0792390245041656e6/np.power(n,4) - 894780.384449624/np.power(n,3) + 1.6947745654652142e6/np.power(n,2) + 675086.4242602822/(2. + n) - 18223.392584809953*lm12(n,S1,S2) - 4144.046942562251*lm13(n,S1,S2,S3) - 8246.712776279062*lm14m1(n,S1,S2,S3,S4) - 3889.585992793313*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 9: - fit = -178667.39573180894/np.power(-1. + n,2) + 75445.99644274621/(-1. + n) + 761260.3281816904/np.power(n,4) - 123286.8456395018/(2. + n) - 1846.982948588938*lm13(n,S1,S2,S3) + fit = -203216.93313632446/np.power(-1. + n,2) + 301861.63488653634/(-1. + n) + 586444.881228152/np.power(n,4) - 483057.01613457815/np.power(n,3) - 108756.54115142432/(2. + n) - (588537.6906760911*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) - 21344.18742499368*lm12(n,S1,S2) - 4314.571987943781*lm13(n,S1,S2,S3) - 17349.286017533777*lm14m1(n,S1,S2,S3,S4) - 2961.2246827676927*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 10: - fit = -127216.28629540099/np.power(-1. + n,2) + 28899.09790707029/(-1. + n) + 228884.9205878143/np.power(n,3) - 63975.501562926234/(2. + n) - 1711.180018456112*lm13(n,S1,S2,S3) + fit = 800949.5231631215*(1/(-1. + n) - 1./n) - 237618.5496992028/np.power(-1. + n,2) - 270922.4474641897/(-1. + n) + 263195.643205183/np.power(n,4) - 556080.8360498395/np.power(n,3) - 184355.25890888766*lm11(n,S1) - 44285.07913209169*lm12(n,S1,S2) - 5227.3604731573405*lm13(n,S1,S2,S3) - 9115.503485867332*lm14m1(n,S1,S2,S3,S4) - 477.33174654807533*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 11: - fit = -54369.324330163065/np.power(-1. + n,2) - 236095.39968148115/(-1. + n) + 606214.4244773745/np.power(n,2) + 216429.75635890095/(2. + n) - 1551.7542579210171*lm13(n,S1,S2,S3) + fit = 48195.59002112752/np.power(-1. + n,2) - 1.3573040106844993e6/(-1. + n) + 3.124766843285419e6/np.power(n,4) - 1.067271569502171e6/np.power(n,3) + 3.014536621053924e6/np.power(n,2) - 940039.2873520318*lm11(n,S1) - 186091.1587357063*lm12(n,S1,S2) - 13389.081966931277*lm13(n,S1,S2,S3) - 65140.019870429314*lm14m1(n,S1,S2,S3,S4) - 3068.3813511505823*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 12: - fit = -127730.39915689365/np.power(-1. + n,2) + 86880.5772952685/(-1. + n) + 131088.0859004977*lm11(n,S1) + 45859.153375434624*lm12(n,S1,S2) + 3051.145461650118*lm13(n,S1,S2,S3) + fit = -203908.76301521514/np.power(-1. + n,2) + 304577.27308896056/(-1. + n) + 596339.0394012802/np.power(n,4) - 495589.18522419676/np.power(n,3) - (549763.1754595829*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) + 79530.6860231015*lm11(n,S1) - 6936.368263841917*lm12(n,S1,S2) - 3521.174399244307*lm13(n,S1,S2,S3) - 11936.20686787835*lm14m1(n,S1,S2,S3,S4) - 3091.865040882635*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 13: - fit = -249509.19871481528/np.power(-1. + n,2) + 80018.18821849066/(-1. + n) + 1.7178353341095438e6/np.power(n,4) - 29198.20288498338*lm12(n,S1,S2) - 6604.105966476303*lm13(n,S1,S2,S3) + fit = 996347.6558814617*(1/(-1. + n) - 1./n) - 307345.22952632234/np.power(-1. + n,2) - 5890.838164024106/(-1. + n) - 434907.89075372514/np.power(n,4) - 431371.6979604753/np.power(n,3) - 735420.6920727129/np.power(n,2) - 9690.333769848923*lm12(n,S1,S2) - 3236.2421958663294*lm13(n,S1,S2,S3) + 4552.132557305155*lm14m1(n,S1,S2,S3,S4) + 154.77587205927955*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 14: - fit = -129218.19651555142/np.power(-1. + n,2) + 11461.766456848798/(-1. + n) + 321900.6239594061/np.power(n,3) - 9442.986825272894*lm12(n,S1,S2) - 3194.4920722194884*lm13(n,S1,S2,S3) + fit = 241392.41481428457*(1/(-1. + n) - 1./n) - 214068.31142011366/np.power(-1. + n,2) + 131131.54358220598/(-1. + n) + 495935.3419568636/np.power(n,4) - 513820.30789226515/np.power(n,3) - (384073.9851893155*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) - 18192.626596597966*lm12(n,S1,S2) - 4035.389453017769*lm13(n,S1,S2,S3) - 11086.094113028495*lm14m1(n,S1,S2,S3,S4) - 2303.8893574584527*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 15: - fit = -87944.16009766924/np.power(-1. + n,2) - 83891.96406756257/(-1. + n) + 306548.65313472337/np.power(n,2) + 11486.326691371696*lm12(n,S1,S2) + 173.71945424342616*lm13(n,S1,S2,S3) - elif variation == 16: - fit = -202135.7995740037/np.power(-1. + n,2) + 82687.73905965324/(-1. + n) + 1.0495769899938635e6/np.power(n,4) + 50994.82207509583*lm11(n,S1) - 2848.098505650866*lm13(n,S1,S2,S3) - elif variation == 17: - fit = -128964.1511783234/np.power(-1. + n,2) + 24339.728042797506/(-1. + n) + 266935.24034010764/np.power(n,3) + 22383.637660612447*lm11(n,S1) - 2128.032930969243*lm13(n,S1,S2,S3) - elif variation == 18: - fit = -74648.83981878728/np.power(-1. + n,2) - 140958.82150230306/(-1. + n) + 408987.65266967454/np.power(n,2) - 43805.55005962004*lm11(n,S1) - 787.8265790554562*lm13(n,S1,S2,S3) - elif variation == 19: - fit = -71719.13674652952/np.power(-1. + n,2) - 21308.180757420447/(-1. + n) - 821124.7287279929/np.power(n,4) + 475769.01709201955/np.power(n,3) - 1564.6977442093062*lm13(n,S1,S2,S3) - elif variation == 20: - fit = -133558.27521182265/np.power(-1. + n,2) - 37615.76088185934/(-1. + n) + 484990.68454355566/np.power(n,4) + 220001.80072250665/np.power(n,2) - 1739.8412493001551*lm13(n,S1,S2,S3) - elif variation == 21: - fit = -110595.9812283641/np.power(-1. + n,2) - 31560.381420415717/(-1. + n) + 176663.97543390834/np.power(n,3) + 138310.07359867013/np.power(n,2) - 1674.8064387740321*lm13(n,S1,S2,S3) + fit = -184243.57777612918/np.power(-1. + n,2) + 174943.63966707757/(-1. + n) + 793566.8946787679/np.power(n,4) - 540182.7805370308/np.power(n,3) + 235146.35888011672/np.power(n,2) - (506879.3651168012*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) - 20911.184664809738*lm12(n,S1,S2) - 4290.912089188934*lm13(n,S1,S2,S3) - 16086.324716319741*lm14m1(n,S1,S2,S3,S4) - 3090.0331415667697*lm15m1(n,S1,S2,S3,S4,S5) else: - fit = -138152.69664751078/np.power(-1. + n,2) + 57913.880829154245/(-1. + n) + 171645.5636615693/np.power(n,4) + 77577.04360900483/np.power(n,3) + 20851.665375796576/np.power(n,2) - 82661.10297298252/(1. + n) - 23599.740384299566/(2. + n) - 330.42208404928425*lm11(n,S1) + 2435.882720720316*lm12(n,S1,S2) - 1327.8017698551957*lm13(n,S1,S2,S3) + fit = -204824.20590456025/np.power(-1. + n,2) + 311630.8552402414/(-1. + n) + 574082.1509765851/np.power(n,4) - 500136.3136750759/np.power(n,3) + 83245.25288646184/np.power(n,2) + 3414.410110455348/n - 182563.96455468299/(1. + n) + 182795.5714351391/(2. + n) - (166588.9358512939*S1)/np.power(n,2) - (166588.9358512939*S2)/n - 20231.20660278288*lm11(n,S1) - 19265.281611102873*lm12(n,S1,S2) - 4023.5797092198227*lm13(n,S1,S2,S3) - 6884.991578205952*lm14m1(n,S1,S2,S3,S4) - 1972.251097587273*lm15m1(n,S1,S2,S3,S4,S5) return common + fit @@ -166,49 +155,37 @@ def gamma_gq_nf1(n, cache, variation): S5 = c.get(c.S5, cache, n) common = 885.6738165500071/np.power(-1. + n,3) + 5309.62962962963/np.power(n,7) + 221.23456790123456/np.power(n,6) + 9092.91243376357/np.power(n,5) + 34.49474165523548*lm14(n,S1,S2,S3,S4) + 0.5486968449931413*lm15(n,S1,S2,S3,S4,S5) if variation == 1: - fit = -4154.154695948995/np.power(-1. + n,2) + 10568.669617295407/(-1. + n) - 17488.846844461823/(1. + n) + 12359.004664911017/(2. + n) + 211.10404507107253*lm13(n,S1,S2,S3) + fit = -4641.830354006266/np.power(-1. + n,2) + 9330.495800110972/(-1. + n) + 14344.09051426101/np.power(n,4) - 1016.4529739723794/np.power(n,3) - 6064.923487611063/(1. + n) - 2205.7352403247382/(2. + n) + 1484.8541015131434*lm12(n,S1,S2) + 431.5031264078472*lm13(n,S1,S2,S3) - 856.5578620911533*lm14m1(n,S1,S2,S3,S4) + 6.61766368570454*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 2: - fit = -3715.00258213197/np.power(-1. + n,2) + 9369.912250526479/(-1. + n) - 8013.721406089578/(1. + n) + 782.8293753310119*lm12(n,S1,S2) + 331.8098466308406*lm13(n,S1,S2,S3) + fit = -4687.263677692064/np.power(-1. + n,2) + 9572.241701801757/(-1. + n) + 14518.90006807081/np.power(n,4) - 1624.8890269149388/np.power(n,3) - 4838.624644014499/(1. + n) + 2392.997784211616*lm11(n,S1) + 1904.549512246748*lm12(n,S1,S2) + 454.2239274477203*lm13(n,S1,S2,S3) - 723.0562074580255*lm14m1(n,S1,S2,S3,S4) + 0.9106508564231698*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 3: - fit = -3766.8429586516354/np.power(-1. + n,2) + 9506.658795852165/(-1. + n) - 11639.62874491426/(1. + n) - 2800.265488570204*lm11(n,S1) + 261.8575086390502*lm13(n,S1,S2,S3) + fit = -6811.138044272443*(1/(-1. + n) - 1./n) - 4213.918161962191/np.power(-1. + n,2) + 13356.458528865467/(-1. + n) + 17505.612074825083/np.power(n,4) + 995.6134783259232/np.power(n,3) - 12128.839771112724/(1. + n) + 1464.2750761708346*lm12(n,S1,S2) + 429.3209612041876*lm13(n,S1,S2,S3) - 888.0357673648941*lm14m1(n,S1,S2,S3,S4) - 3.1464374221968265*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 4: - fit = -6147.4392986647545/np.power(-1. + n,2) + 9099.589851629416/(-1. + n) + 35010.09952148762/np.power(n,4) - 4554.387135843054/(1. + n) + 201.7711126307286*lm13(n,S1,S2,S3) + fit = -3526.0317032445505/np.power(-1. + n,2) + 1845.6312169595117/(-1. + n) + 27184.909343823376/np.power(n,4) - 5758.912493427602/np.power(n,3) + 15209.879770634008/np.power(n,2) - 513.1837033827802/(1. + n) + 1450.2890806227542*lm12(n,S1,S2) + 427.8192994247673*lm13(n,S1,S2,S3) - 907.8428666449199*lm14m1(n,S1,S2,S3,S4) - 9.755401357842457*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 5: - fit = -3675.6007556945196/np.power(-1. + n,2) + 5936.584418528788/(-1. + n) + 13507.53417196719/np.power(n,3) - 891.1801771144223/(1. + n) + 207.1422499668006*lm13(n,S1,S2,S3) + fit = -4590.923684246688/np.power(-1. + n,2) + 8999.550617808409/(-1. + n) + 14598.227915093874/np.power(n,4) - 538.0166438967607/np.power(n,3) - 8600.824838080449/(1. + n) + (2412.6347931026244*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) + 1513.4359164894108*lm12(n,S1,S2) + 433.88486067694004*lm13(n,S1,S2,S3) - 795.8172214607993*lm14m1(n,S1,S2,S3,S4) + 10.290808757929303*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 6: - fit = -18249.757773649242/np.power(-1. + n,2) + 70374.32470231941/(-1. + n) - 105550.57876215602/np.power(n,2) - 66457.98920891003/(1. + n) + 195.03447986946037*lm13(n,S1,S2,S3) + fit = -4866.531418583069/np.power(-1. + n,2) + 10526.106107096773/(-1. + n) + 15208.65298881981/np.power(n,4) - 4025.6149294747884/np.power(n,3) + 8703.225799886446/(2. + n) + 11835.100931020013*lm11(n,S1) + 3560.5504964992174*lm12(n,S1,S2) + 543.8738525149046*lm13(n,S1,S2,S3) - 196.29613565392873*lm14m1(n,S1,S2,S3,S4) - 21.60775819888546*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 7: - fit = -3343.5834681677507/np.power(-1. + n,2) + 8356.04624598052/(-1. + n) - 10452.80306687096/(2. + n) + 1444.9183960217892*lm12(n,S1,S2) + 433.89848620522463*lm13(n,S1,S2,S3) + fit = 6812.267406043017*(1/(-1. + n) - 1./n) - 5069.813407366513/np.power(-1. + n,2) + 5303.865079802739/(-1. + n) + 11182.04418020281/np.power(n,4) - 3028.851822020746/np.power(n,3) - 4411.837835317581/(2. + n) + 1505.436594939228*lm12(n,S1,S2) + 433.68565968275493*lm13(n,S1,S2,S3) - 825.0746801155074*lm14m1(n,S1,S2,S3,S4) + 16.38340848554099*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 8: - fit = -2996.1134775555597/np.power(-1. + n,2) + 7393.314503624469/(-1. + n) - 24593.753132227568/(2. + n) - 8372.642876397704*lm11(n,S1) + 362.8541655256052*lm13(n,S1,S2,S3) + fit = -3422.891059017386/np.power(-1. + n,2) + 1153.755670292513/(-1. + n) + 28371.871488638357/np.power(n,4) - 6197.289757168041/np.power(n,3) + 16615.82978575513/np.power(n,2) + 203.89110614955672/(2. + n) + 1447.093994233797*lm12(n,S1,S2) + 427.47877749637*lm13(n,S1,S2,S3) - 912.583492582551*lm14m1(n,S1,S2,S3,S4) - 11.268877794713138*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 9: - fit = -6849.300061096075/np.power(-1. + n,2) + 8582.308253713018/(-1. + n) + 47337.59912160785/np.power(n,4) - 4351.762124258069/(2. + n) + 198.4848688754035*lm13(n,S1,S2,S3) + fit = -4763.579488071934/np.power(-1. + n,2) + 10121.98975419346/(-1. + n) + 13736.287660471797/np.power(n,4) - 2160.6868401419974/np.power(n,3) - 7481.025709471715/(2. + n) - (5770.109793538375*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) + 1416.4974055579276*lm12(n,S1,S2) + 425.80694052284747*lm13(n,S1,S2,S3) - 1001.8262888413067*lm14m1(n,S1,S2,S3,S4) - 2.1670232041395643*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 10: - fit = -3649.905711097048/np.power(-1. + n,2) + 5687.873404469671/(-1. + n) + 14232.795555815104/np.power(n,3) - 663.5932741012635/(2. + n) + 206.92952890585326*lm13(n,S1,S2,S3) + fit = 4520.661520913708*(1/(-1. + n) - 1./n) - 5001.430874802961/np.power(-1. + n,2) + 7060.59716821144/(-1. + n) + 12536.572900553683/np.power(n,4) - 3364.161076731632/np.power(n,3) + 3981.2635172018045*lm11(n,S1) + 2196.7656407758154*lm12(n,S1,S2) + 470.75235872661165*lm13(n,S1,S2,S3) - 613.5570863075435*lm14m1(n,S1,S2,S3,S4) + 3.603350437056353*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 11: - fit = 879.9511001376588/np.power(-1. + n,2) - 10790.331004577562/(-1. + n) + 37696.34952104189/np.power(n,2) + 16772.9014435428/(2. + n) + 216.84313199599924*lm13(n,S1,S2,S3) + fit = -3388.259768452193/np.power(-1. + n,2) + 928.9237521114734/(-1. + n) + 28687.641066076383/np.power(n,4) - 6249.3846772154875/np.power(n,3) + 17014.423803619455/np.power(n,2) - 283.911571480371*lm11(n,S1) + 1396.3944319615423*lm12(n,S1,S2) + 424.6865855575389*lm13(n,S1,S2,S3) - 929.7664379765954*lm14m1(n,S1,S2,S3,S4) - 11.020846683201022*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 12: - fit = -3600.42868484152/np.power(-1. + n,2) + 9067.684803683303/(-1. + n) + 6188.946763244337*lm11(n,S1) + 2512.9829441244183*lm12(n,S1,S2) + 486.41350744844374*lm13(n,S1,S2,S3) + fit = -4811.168299020828/np.power(-1. + n,2) + 10308.789975744723/(-1. + n) + 14416.876062124396/np.power(n,4) - 3022.7356514174053/np.power(n,3) - (3102.930670591721*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) + 5470.669625759262*lm11(n,S1) + 2407.5666798018997*lm12(n,S1,S2) + 480.3823046452061*lm13(n,S1,S2,S3) - 629.4773212257594*lm14m1(n,S1,S2,S3,S4) - 11.153366255382775*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 13: - fit = -9349.864281360744/np.power(-1. + n,2) + 8743.696850292556/(-1. + n) + 81102.65214258479/np.power(n,4) - 1030.6341504008299*lm12(n,S1,S2) + 30.568594740114495*lm13(n,S1,S2,S3) + fit = 300.91468031027983*(1/(-1. + n) - 1./n) - 3495.6400189196065/np.power(-1. + n,2) + 1337.0787229077632/(-1. + n) + 27612.548291854742/np.power(n,4) - 6057.328428936091/np.power(n,3) + 15881.861322805855/np.power(n,2) + 1449.6712068638715*lm12(n,S1,S2) + 427.75295915863444*lm13(n,S1,S2,S3) - 908.7179226159642*lm14m1(n,S1,S2,S3,S4) - 10.04737351405501*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 14: - fit = -3670.6707559192682/np.power(-1. + n,2) + 5507.002671361118/(-1. + n) + 15197.611675043092/np.power(n,3) - 97.9484707672736*lm12(n,S1,S2) + 191.54370342235256*lm13(n,S1,S2,S3) + fit = 16604.63646140265*(1/(-1. + n) - 1./n) - 5510.0124055938695/np.power(-1. + n,2) - 1622.003211474526/(-1. + n) + 7510.417547162798/np.power(n,4) - 4276.8010810631495/np.power(n,3) + (8294.312330449271*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) + 1633.28339277492*lm12(n,S1,S2) + 445.0110299002262*lm13(n,S1,S2,S3) - 571.0008823762004*lm14m1(n,S1,S2,S3,S4) + 43.04899480027303*lm15m1(n,S1,S2,S3,S4,S5) elif variation == 15: - fit = -1722.0358945603757/np.power(-1. + n,2) + 1005.1506697978073/(-1. + n) + 14472.81254861761/np.power(n,2) + 890.1688417705905*lm12(n,S1,S2) + 350.5641184465057*lm13(n,S1,S2,S3) - elif variation == 16: - fit = -7677.684552786546/np.power(-1. + n,2) + 8837.926288795223/(-1. + n) + 57514.561003940005/np.power(n,4) + 1800.00821732893*lm11(n,S1) + 163.14762960523643*lm13(n,S1,S2,S3) - elif variation == 17: - fit = -3668.0356413358095/np.power(-1. + n,2) + 5640.580814304368/(-1. + n) + 14627.476889260639/np.power(n,3) + 232.17686518512448*lm11(n,S1) + 202.60567395706914*lm13(n,S1,S2,S3) - elif variation == 18: - fit = -691.6734321623419/np.power(-1. + n,2) - 3417.4240793927916/(-1. + n) + 22411.6434750231/np.power(n,2) - 3394.848223236357*lm11(n,S1) + 276.04609873762405*lm13(n,S1,S2,S3) - elif variation == 19: - fit = -3074.255121846279/np.power(-1. + n,2) + 5167.092611529961/(-1. + n) - 8517.21102404984/np.power(n,4) + 16793.629342505785/np.power(n,3) + 208.44893320267045*lm13(n,S1,S2,S3) - elif variation == 20: - fit = -5257.044527918616/np.power(-1. + n,2) + 4591.469890746334/(-1. + n) + 37585.871230195466/np.power(n,4) + 7765.593309542773/np.power(n,2) + 202.2667418438865*lm13(n,S1,S2,S3) - elif variation == 21: - fit = -3477.5096784512552/np.power(-1. + n,2) + 5060.750476829951/(-1. + n) + 13691.12777479692/np.power(n,3) + 1434.6372023383353/np.power(n,2) + 207.3068180594*lm13(n,S1,S2,S3) + fit = -3458.461150841499/np.power(-1. + n,2) + 1391.69402227194/(-1. + n) + 27983.56958776381/np.power(n,4) - 6090.191530645382/np.power(n,3) + 16174.989824710121/np.power(n,2) - (153.08676471398127*(S1 - 1.*n*(1.6449340668482262 - 1.*S2)))/np.power(n,2) + 1446.2823060910362*lm12(n,S1,S2) + 427.43442970735236*lm13(n,S1,S2,S3) - 914.9511127677407*lm14m1(n,S1,S2,S3,S4) - 11.027364975586181*lm15m1(n,S1,S2,S3,S4,S5) else: - fit = -4659.8548692239365/np.power(-1. + n,2) + 8775.661049395696/(-1. + n) + 11906.360571226945/np.power(n,4) + 4192.865495685177/np.power(n,3) - 1036.6448907424908/np.power(n,2) - 5192.654929396816/(1. + n) - 520.4764518573357/(2. + n) - 302.22022583075585*lm11(n,S1) + 214.3960445752241*lm12(n,S1,S2) + 245.07815446568293*lm13(n,S1,S2,S3) + fit = -4363.18369812144/np.power(-1. + n,2) + 7402.8344620734415/(-1. + n) + 18359.88144598285/np.power(n,4) - 3494.380230313365/np.power(n,3) + 5393.1323005016375/np.power(n,2) - 1612.81199529589/n - 2143.0930962801012/(1. + n) - 346.09879193853544/(2. + n) + (112.05465964718788*S1)/np.power(n,2) + (112.05465964718788*S2)/n + 1559.7413524474882*lm11(n,S1) + 1751.7963891028098*lm12(n,S1,S2) + 445.5744715382606*lm13(n,S1,S2,S3) - 778.3040856988591*lm14m1(n,S1,S2,S3,S4) - 0.6893048255383367*lm15m1(n,S1,S2,S3,S4,S5) return common + fit diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py index 14886c5ab..4bd7fa472 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ns,-}^{(3)}`.""" + import numba as nb from eko.constants import CF, zeta3 diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py index c8a75e081..e6364f9d4 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ns,+}^{(3)}`.""" + import numba as nb from .....harmonics import cache as c diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsv.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsv.py index 9de2d2f7f..b8dc60ec2 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsv.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsv.py @@ -1,4 +1,5 @@ r"""The unpolarized, space-like anomalous dimension :math:`\gamma_{ns,v}^{(3)}`.""" + import numba as nb from .....harmonics import cache as c diff --git a/src/ekore/anomalous_dimensions/unpolarized/time_like/__init__.py b/src/ekore/anomalous_dimensions/unpolarized/time_like/__init__.py index 267924c9b..e7a4ecd69 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/time_like/__init__.py +++ b/src/ekore/anomalous_dimensions/unpolarized/time_like/__init__.py @@ -32,12 +32,14 @@ def gamma_ns(order, mode, n, nf): gamma_ns = np.zeros(order[0], np.complex_) gamma_ns[0] = as1.gamma_ns(n, cache) if order[0] >= 2: + gamma_ns_1 = 0.0 if mode == 10101: gamma_ns_1 = as2.gamma_nsp(n, nf, cache) elif mode in [10201, 10200]: gamma_ns_1 = as2.gamma_nsm(n, nf, cache) gamma_ns[1] = gamma_ns_1 if order[0] >= 3: + gamma_ns_2 = 0.0 if mode == 10101: gamma_ns_2 = as3.gamma_nsp(n, nf, cache) elif mode == 10201: diff --git a/src/ekore/anomalous_dimensions/unpolarized/time_like/as3.py b/src/ekore/anomalous_dimensions/unpolarized/time_like/as3.py index 70793acc1..0d05c215e 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/time_like/as3.py +++ b/src/ekore/anomalous_dimensions/unpolarized/time_like/as3.py @@ -265,7 +265,7 @@ def gamma_nsv(N, nf, cache): S11 = S1 + N1I S12 = S11 + N2I B1 = -S1 * NI - if abs(N.imag) < 0.00001 and abs(N.real) < 0.00001: + if abs(N.imag) < 0.00001 and abs(N.real - 1) < 0.00001: B1M = -zeta2 else: B1M = -S1M * NMI diff --git a/src/ekore/harmonics/__init__.py b/src/ekore/harmonics/__init__.py index d5818dacd..a6a69f5f0 100644 --- a/src/ekore/harmonics/__init__.py +++ b/src/ekore/harmonics/__init__.py @@ -2,6 +2,7 @@ Definitions are coming from :cite:`MuselliPhD,Bl_mlein_2000,Blumlein:2009ta`. """ + from . import cache, g_functions, polygamma from .w1 import S1, Sm1 from .w2 import S2, Sm2 diff --git a/src/ekore/harmonics/cache.py b/src/ekore/harmonics/cache.py index 1bc8f54fe..d1892ea1b 100644 --- a/src/ekore/harmonics/cache.py +++ b/src/ekore/harmonics/cache.py @@ -1,4 +1,5 @@ """Caching harmonic sums across :mod:`ekore`.""" + from typing import Optional import numba as nb diff --git a/src/ekore/harmonics/g_functions.py b/src/ekore/harmonics/g_functions.py index 6c648e95b..875238547 100644 --- a/src/ekore/harmonics/g_functions.py +++ b/src/ekore/harmonics/g_functions.py @@ -3,6 +3,7 @@ Implementations of some Mellin transformations :math:`g_k(N)` :cite:`MuselliPhD` appearing in the analytic continuation of harmonics sums of weight = 3,4. """ + import numba as nb import numpy as np diff --git a/src/ekore/harmonics/log_functions.py b/src/ekore/harmonics/log_functions.py index fe0d48c38..eccba40bf 100644 --- a/src/ekore/harmonics/log_functions.py +++ b/src/ekore/harmonics/log_functions.py @@ -6,6 +6,7 @@ - :math:`\ln^k(1-x), \quad k = 1,3,4,5` """ + import numba as nb diff --git a/src/ekore/harmonics/w3.py b/src/ekore/harmonics/w3.py index be245aa72..7bed3beee 100644 --- a/src/ekore/harmonics/w3.py +++ b/src/ekore/harmonics/w3.py @@ -69,8 +69,7 @@ def Sm3(N, hS3, hS3mh, hS3h, is_singlet=None): """ if is_singlet is None: return ( - 1 / 2**2 * ((1 - (-1) ** N) / 2 * hS3mh + ((-1) ** N + 1) / 2 * hS3h) - - hS3 + 1 / 2**2 * ((1 - (-1) ** N) / 2 * hS3mh + ((-1) ** N + 1) / 2 * hS3h) - hS3 ) if is_singlet: return 1 / 2**2 * hS3h - hS3 diff --git a/src/ekore/harmonics/w4.py b/src/ekore/harmonics/w4.py index 0b6863542..869e4c9bf 100644 --- a/src/ekore/harmonics/w4.py +++ b/src/ekore/harmonics/w4.py @@ -69,8 +69,7 @@ def Sm4(N, hS4, hS4mh, hS4h, is_singlet=None): """ if is_singlet is None: return ( - 1 / 2**3 * ((1 - (-1) ** N) / 2 * hS4mh + ((-1) ** N + 1) / 2 * hS4h) - - hS4 + 1 / 2**3 * ((1 - (-1) ** N) / 2 * hS4mh + ((-1) ** N + 1) / 2 * hS4h) - hS4 ) if is_singlet: return 1 / 2**3 * hS4h - hS4 diff --git a/src/ekore/harmonics/w5.py b/src/ekore/harmonics/w5.py index 19b52881c..169de46e8 100644 --- a/src/ekore/harmonics/w5.py +++ b/src/ekore/harmonics/w5.py @@ -68,8 +68,7 @@ def Sm5(N, hS5, hS5mh, hS5h, is_singlet=None): """ if is_singlet is None: return ( - 1 / 2**4 * ((1 - (-1) ** N) / 2 * hS5mh + ((-1) ** N + 1) / 2 * hS5h) - - hS5 + 1 / 2**4 * ((1 - (-1) ** N) / 2 * hS5mh + ((-1) ** N + 1) / 2 * hS5h) - hS5 ) if is_singlet: return 1 / 2**4 * hS5h - hS5 diff --git a/src/ekore/operator_matrix_elements/polarized/space_like/as1.py b/src/ekore/operator_matrix_elements/polarized/space_like/as1.py index 86aec2bb7..29d74b138 100644 --- a/src/ekore/operator_matrix_elements/polarized/space_like/as1.py +++ b/src/ekore/operator_matrix_elements/polarized/space_like/as1.py @@ -6,6 +6,7 @@ Additionally, a different convention for the anomalous dimensions is used, yielding a factor 2 in the |OME|'s wherever they are present. The anomalous dimensions and beta function with the addition 'hat' have the form :math:`\hat\gamma = \gamma^{(nf+1)} - \gamma^{(nf)}`. """ + import numba as nb import numpy as np diff --git a/src/ekore/operator_matrix_elements/polarized/space_like/as2.py b/src/ekore/operator_matrix_elements/polarized/space_like/as2.py index 86d061ddb..402274a0c 100644 --- a/src/ekore/operator_matrix_elements/polarized/space_like/as2.py +++ b/src/ekore/operator_matrix_elements/polarized/space_like/as2.py @@ -4,6 +4,7 @@ As in the |NLO| |OME|, in the paper, an additional factor 2 can be found in front of the anomalous dimensions and factor (-1) for odd powers of L. The anomalous dimensions and beta function with the addition 'hat' are defined as in the |NLO| case. """ + import numba as nb import numpy as np @@ -120,9 +121,7 @@ def A_hq_ps(n, cache, L, nf): ) # term that differentiates between M scheme and Larin scheme, # we are computing in M scheme hence the addition of this term - z_qq_ps = ( - -CF * TR * nf * ((8 * (2 + n) * (n**2 - n - 1)) / (n**3 * (n + 1) ** 3)) - ) + z_qq_ps = -CF * TR * nf * ((8 * (2 + n) * (n**2 - n - 1)) / (n**3 * (n + 1) ** 3)) gamma1_ps_qqhat = (16 * CF * (2 + n) * (1 + 2 * n + n**3) * TR) / ( n**3 * ((1 + n) ** 3) ) @@ -173,7 +172,7 @@ def A_hg(n, cache, L): -2 * CF * ( - 3 + 6 * ( 4 + 8 * n @@ -188,7 +187,7 @@ def A_hg(n, cache, L): * n**2 * (1 + n) ** 2 * (2 + n) - * (2 + 3 * n + 3 * n**3) + * (2 + 3 * n + 3 * n**2) * np.pi**2 + 12 * n**2 * (1 + n) ** 3 * (-36 - 22 * n - 2 * n**2 + n**3) * S1 + 12 * n**2 * (1 + n) ** 3 * (-2 + 3 * n + 3 * n**2) * S1**2 @@ -207,7 +206,6 @@ def A_hg(n, cache, L): + CA * ( -24 - * (1 + n) ** 3 * ( 4 + 12 * n @@ -220,17 +218,9 @@ def A_hg(n, cache, L): + 2 * n**8 ) + 8 * (-1 + n) * n**2 * (1 + n) ** 2 * (2 + n) ** 2 * np.pi**2 - + 24 - * n**3 - * (1 + n) - * (2 - 10 * n - n**2 + 4 * n**3 + n**4) - * S1 + + 24 * n**3 * (1 + n) * (2 - 10 * n - n**2 + 4 * n**3 + n**4) * S1 + 24 * n**3 * (1 + n) ** 2 * (5 + 4 * n + n**2) * S1**2 - + 24 - * n**2 - * (1 + n) ** 2 - * (-16 + 15 * n + 24 * n**2 + 7 * n**3) - * S2 + + 24 * n**2 * (1 + n) ** 2 * (-16 + 15 * n + 24 * n**2 + 7 * n**3) * S2 - 24 * (1 - n) * n**3 @@ -345,8 +335,7 @@ def A_gg(n, cache, L): S1 = c.get(c.S1, cache, n) ggg1_canf = ( -5 * S1 / 9 - + (-3 + 13 * n + 16 * n**2 + 6 * n**3 + 3 * n**4) - / (9 * n**2 * (1 + n) ** 2) + + (-3 + 13 * n + 16 * n**2 + 6 * n**3 + 3 * n**4) / (9 * n**2 * (1 + n) ** 2) ) * 4 ggg1_cfnf = (4 + 2 * n - 8 * n**2 + n**3 + 5 * n**4 + 3 * n**5 + n**6) / ( n**3 * (1 + n) ** 3 @@ -364,16 +353,7 @@ def A_gg(n, cache, L): - 8 ) / (n**4 * (1 + n) ** 4) a_gg_a = ( - 2 - * ( - 15 * n**6 - + 45 * n**5 - + 374 * n**4 - + 601 * n**3 - + 161 * n**2 - - 24 * n - + 36 - ) + 2 * (15 * n**6 + 45 * n**5 + 374 * n**4 + 601 * n**3 + 161 * n**2 - 24 * n + 36) ) / (27 * n**3 * (1 + n) ** 3) - (4 * S1 * (47 + 56 * n) / (27 * (1 + n))) a_gg_l0 = TR * (CF * a_gg_f + CA * a_gg_a) diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/__init__.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/__init__.py index de982d550..f1dd3d345 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/__init__.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/__init__.py @@ -20,7 +20,7 @@ def A_singlet(matching_order, n, nf, L, is_msbar): nf: int number of active flavor below threshold L : float - :math:``\ln(\mu_F^2 / m_h^2)`` + :math:`\ln(\mu_F^2 / m_h^2)` is_msbar: bool add the |MSbar| contribution @@ -54,7 +54,7 @@ def A_non_singlet(matching_order, n, nf, L): nf: int number of active flavor below threshold L : float - :math:``\ln(\mu_F^2 / m_h^2)`` + :math:`\ln(\mu_F^2 / m_h^2)` Returns ------- diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as1.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as1.py index 76eaecb7f..d776f23f1 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as1.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as1.py @@ -5,6 +5,7 @@ The other matching conditions for the |VFNS| at :math:`\mu_F^2 \neq m_H^2` are provided in :cite:`Buza_1998`. """ + import numba as nb import numpy as np @@ -39,12 +40,7 @@ def A_hh(n, cache, L): S2m = c.get(c.S2, cache, n) - 1 / n**2 # harmonics.S2(n - 1) ahh_l = (2 + n - 3 * n**2) / (n * (1 + n)) + 4 * S1m ahh = 2 * ( - 2 - + 5 * n - + n**2 - - 6 * n**3 - - 2 * n**4 - - 2 * n * (-1 - 2 * n + n**3) * S1m + 2 + 5 * n + n**2 - 6 * n**3 - 2 * n**4 - 2 * n * (-1 - 2 * n + n**3) * S1m ) / (n * (1 + n)) ** 2 + 4 * (S1m**2 + S2m) return -CF * (ahh_l * L + ahh) @@ -70,9 +66,7 @@ def A_gh(n, L): """ agh_l1 = (2 + n + n**2) / (n * (n**2 - 1)) - agh_l0 = (-4 + 2 * n + n**2 * (15 + n * (3 + n - n**2))) / ( - n * (n**2 - 1) - ) ** 2 + agh_l0 = (-4 + 2 * n + n**2 * (15 + n * (3 + n - n**2))) / (n * (n**2 - 1)) ** 2 return 2 * CF * (agh_l0 + agh_l1 * L) diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as2.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as2.py index 7f5de669b..801837016 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as2.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as2.py @@ -1,13 +1,14 @@ r"""The unpolarized, spacelike |NNLO| |OME|. See, :cite:`Buza_1998` appendix B. -The expession for :math:`\mu_F^2 = m_H^2` are taken from :cite:`Vogt:2004ns` directly in N space. +The expression for :math:`\mu_F^2 = m_H^2` are taken from :cite:`Vogt:2004ns` directly in N space. While the parts proportional to :math:`\ln(\mu_F^2 / m_h^2)` comes |QCDNUM| (https://github.com/N3PDF/external/blob/master/qcdnum/qcdnum/pij/ome.f) and Mellin transformed with Mathematica. -The expession for ``A_Hg_l0`` comes form :cite:`Bierenbaum:2009zt`. +The expression for ``A_Hg_l0`` comes form :cite:`Bierenbaum:2009zt`. """ + import numba as nb import numpy as np @@ -57,16 +58,11 @@ def A_qq_ns(n, cache, L): + 20.0 / 9.0 * (S2 - 1.0 / n**2 - zeta2 + S2 + 1.0 / (n + 1.0) ** 2 - zeta2) + 2.0 / 3.0 - * ( - -2.0 * (S3 - 1.0 / n**3 - zeta3) - - 2.0 * (S3 + 1.0 / (n + 1.0) ** 3 - zeta3) - ) + * (-2.0 * (S3 - 1.0 / n**3 - zeta3) - 2.0 * (S3 + 1.0 / (n + 1.0) ** 3 - zeta3)) ) a_qq_l1 = ( - 2 - * (-12 - 28 * n + 9 * n**2 + 34 * n**3 - 3 * n**4) - / (9 * (n * (n + 1)) ** 2) + 2 * (-12 - 28 * n + 9 * n**2 + 34 * n**3 - 3 * n**4) / (9 * (n * (n + 1)) ** 2) + 80 / 9 * S1m - 16 / 3 * S2m ) @@ -200,15 +196,7 @@ def A_hg(n, cache, L): + 12 * Sm3 * (2 + n + n**2) / (n * (1 + n) * (2 + n)) - 24 * Sm2 * (4 + n - n**2) / ((1 + n) * (2 + n)) ** 2 - S1 - * ( - 48 / n - + 432 - + 564 * n - + 324 * n**2 - + 138 * n**3 - + 48 * n**4 - + 6 * n**5 - ) + * (48 / n + 432 + 564 * n + 324 * n**2 + 138 * n**3 + 48 * n**4 + 6 * n**5) / ((1 + n) * (2 + n)) ** 3 + S1 * (-160 - 32 / n**2 - 80 / n + 8 * n * (n - 1)) @@ -219,19 +207,10 @@ def A_hg(n, cache, L): * S2 * (63 + 48 / n**2 + 54 / n + 39 * n + 63 * n**2 + 21 * n**3) / ((n - 1) * (1 + n) ** 2 * (2 + n) ** 2) - + 8 - * S2 - * (17 - 2 / n**2 - 5 / n + n * (17 + n)) - / (3 * (1 + n) ** 2 * (2 + n)) + + 8 * S2 * (17 - 2 / n**2 - 5 / n + n * (17 + n)) / (3 * (1 + n) ** 2 * (2 + n)) + (1 + 2 / n + n) / ((1 + n) * (2 + n)) - * ( - 24 * Sm2 * S1 - + 10 * S1**3 / 9 - + 46 * S1 * S2 / 3 - + 176 * S3 / 9 - - 24 * Sm21 - ) + * (24 * Sm2 * S1 + 10 * S1**3 / 9 + 46 * S1 * S2 / 3 + 176 * S3 / 9 - 24 * Sm21) ) a_hg_l1 = ( diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/__init__.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/__init__.py index 10ddd6e38..b71d8a37e 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/__init__.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/__init__.py @@ -57,8 +57,12 @@ - :cite:`Ablinger:2022wbb`. J. Ablinger, J. and A. Behring, J. Blümlein, A. De Freitas, C. Schneider, A. Goedicke, C. von Manteuffel and K. Schonwald. The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator - Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$}. - DESY 15-112, DO-TH 22/26, CERN-TH-2022-179, ZU-TH 53/22, RISC Report Series 22-25, MSUHEP-22-036 + Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$}. JHEP 12 (2022) 134, + doi:10.1007/JHEP12(2022)134, + - :cite:`Ablinger:2024xtt`. J. Ablinger, A. Behring, J. Blümlein, A. De + Freitas, A. von Manteuffel, C. Schneider, K. Schönwald. + The non-first-order-factorizable contributions to the three-loop single-mass + operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$. """ @@ -82,11 +86,11 @@ def A_singlet(n, cache, nf, L): A^{S,(3)} = \left(\begin{array}{cc} A_{gg, H}^{S,(3)} & A_{gq, H}^{S,(3)} & 0 \\ A_{qg, H}^{S,(3)} & A_{qq,H}^{NS,(3)} + A_{qq,H}^{PS,(3)} & 0\\ - A_{hg}^{S,(3)} & A_{hq}^{PS,(3)} & 0\\ + A_{Hg}^{S,(3)} & A_{Hq}^{PS,(3)} & 0\\ \end{array}\right) When using the code, please cite the complete list of references - available at the top of this module :mod:`ekore.matching_conditions.as3`. + available at the top of this module :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- @@ -102,7 +106,7 @@ def A_singlet(n, cache, nf, L): Returns ------- A_S : numpy.ndarray - |NNLO| singlet |OME| :math:`A^{S,(3)}(N)` + |N3LO| singlet |OME| :math:`A^{S,(3)}(N)` """ A_hq_3 = A_Hq(n, cache, nf, L) @@ -137,7 +141,7 @@ def A_ns(n, cache, nf, L): \end{array}\right) When using the code, please cite the complete list of references available - at the top of this module :mod:`ekore.matching_conditions.as3`. + at the top of this module :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg.py index fe5fab45a..317345fc6 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg.py @@ -1,4 +1,5 @@ """The unpolarized, space-like |N3LO| heavy-gluon |OME|.""" + # pylint: skip-file import numba as nb import numpy as np @@ -11,10 +12,10 @@ def A_Hg(n, cache, nf, L): r"""Compute the |N3LO| singlet |OME| :math:`A_{Hg}^{S,(3)}(N)`. - The expression is presented in :cite:`Bierenbaum:2009mv`. + The expression is presented in :cite:`Bierenbaum:2009mv,Blumlein:2017wxd,Ablinger:2024xtt`. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg_param.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg_param.py index 8791817b7..1d6dde4dd 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg_param.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHg_param.py @@ -1,27 +1,29 @@ -"""The approximated incomplete part of renormalization constant :math:`a_{Hg}^{S,(3)}(N)`.""" +"""The approximated part of renormalization constant :math:`a_{Hg}^{(3)}(N)`.""" + # pylint: skip-file import numba as nb import numpy as np from .....harmonics import cache as c +from .....harmonics.log_functions import lm11, lm11m1, lm12, lm13, lm14, lm15 @nb.njit(cache=True) def a_Hg3(n, cache, nf): - r"""Compute the approximate incomplete part of :math:`a_{Hg}^{S,(3)}(N)`. + r"""Compute :math:`a_{Hg}^{(3)}(N)`. - This is composed by two different part: - 1. the known part proportional to :math:`T_{F}` and - presented in :cite:`Blumlein:2017wxd` :eqref:`3.1`. + This is composed by two parts: - 2. A parametrized part for the unknown factors, - which is constructed from the 5 lowest moments - presented in :cite:`Bierenbaum:2009mv` :eqref:`8.50-8.54` and the - |LL| small-x contribution from :math:`Kawamura:2012cr` :eqref:`3.47` + 1. the exact part proportional to :math:`n_f T_{F}` and presented in :cite:`Blumlein:2017wxd` :eqref:`3.1`. + 2. a parametrized expression for the :math:`n_f^0` piece + derived from: the 5 lowest moments, presented in + :cite:`Bierenbaum:2009mv` :eqref:`8.50-8.54`; + and the :math:`x \to 0,1` limits from :eqref:`4.4-4.5` + of :cite:`Ablinger:2024xtt`. The |LL| small-x contribution + was originally computed in :cite:`Kawamura:2012cr`, :eqref:`3.47`. The parametrized part has been tested to be in reasonable agreement - with the one provided in :math:`Kawamura:2012cr` :eqref:`3.49`, :eqref:`3.50`. - The :math:`n_f` part is exact. + with the one provided in :cite:`Kawamura:2012cr` :eqref:`3.49`, :eqref:`3.50`. Parameters ---------- @@ -35,7 +37,7 @@ def a_Hg3(n, cache, nf): Returns ------- complex - :math:`A_{Hg}^{S,(3)}(N)` + :math:`a_{Hg}^{(3)}(N)` """ S1 = c.get(c.S1, cache, n) @@ -52,921 +54,287 @@ def a_Hg3(n, cache, nf): Sm211 = c.get(c.Sm211, cache, n, is_singlet=True) Sm31 = c.get(c.Sm31, cache, n, is_singlet=True) Sm4 = c.get(c.Sm4, cache, n, is_singlet=True) - parametrized_part = ( - -(6649.4461758486095 / n**2) - + (-7592.941358147846 + 6307.239141492633 * n) / (-1.0 + n) ** 2 - + ( - -4874.067051829699 - - 834.8649717514339 * S1 - - 106.571000154652 * S1**2 - - 228.16722542830036 * S1**3 - ) - / n + S5 = c.get(c.S5, cache, n) + + Lm11 = lm11(n, S1) + Lm12 = lm12(n, S1, S2) + Lm13 = lm13(n, S1, S2, S3) + Lm14 = lm14(n, S1, S2, S3, S4) + Lm15 = lm15(n, S1, S2, S3, S4, S5) + Lm11m1 = lm11m1(n, S1) + + # parametrized nf^0 part + aHg_nf0 = ( + -(10505.541212 / (-1 + n) ** 2) + - 581.3333332799999 / n**6 + - 522.2222222400001 / n**5 + - 3084.5476332000003 / n**4 + - 1440.0967656 / n**3 + - 10739.21741 / n**2 + - 6890.392506169613 / n + + (8956.649545 * n) / (-1.0 + n) ** 2 + + 7861.809052567688 / (1 + n) ** 2 + - 795.4199930418246 / (n + n**2) + - 19687.320434140434 / (2 + 3 * n + n**2) + + 737.165347 * Lm11 + - 332.5368214 * Lm12 + + 4.380199906 * Lm13 + - 8.20987654 * Lm14 + + 3.703703704 * Lm15 + - 12429.982192922555 * Lm11m1 ) - return parametrized_part + ( - (-1.0684950250307503 * (2.0 + n + np.power(n, 2))) / (n * (1.0 + n) * (2.0 + n)) - + 1.3333333333333333 + + # exact nf^1 part + aHg_nf1 = ( + 1 + / (n**6 * (1 + n) ** 6 * (2 + n) ** 5) * ( - 0.25 + (1 / (-1 + n)) * ( - 1.6449340668482262 - * ( - ( - 0.2222222222222222 - * ( - 1728.0 - + 4992.0 * n - + 8944.0 * np.power(n, 2) - + 11680.0 * np.power(n, 3) - + 4444.0 * np.power(n, 4) - - 4900.0 * np.power(n, 5) - - 6377.0 * np.power(n, 6) - + 617.0 * np.power(n, 7) - + 6930.0 * np.power(n, 8) - + 6142.0 * np.power(n, 9) - + 2331.0 * np.power(n, 10) - + 333.0 * np.power(n, 11) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 4) - * np.power(1.0 + n, 4) - * np.power(2.0 + n, 3) - ) - + ( - 8.88888888888889 - * (6.0 + 11.0 * n + 4.0 * np.power(n, 2) + np.power(n, 3)) - * S1 - ) - / (np.power(n, 2) * (1.0 + n) * (2.0 + n)) - ) - + ( - 1.6449340668482262 - * (2.0 + n + np.power(n, 2)) - * (-13.333333333333334 * np.power(S1, 2) + 8.0 * S2) - ) - / (n * (1.0 + n) * (2.0 + n)) - + nf - * ( - ( - 0.00411522633744856 - * ( - -1.24416e6 - - 7.865856e6 * n - - 2.3256576e7 * np.power(n, 2) - - 4.2534912e7 * np.power(n, 3) - - 5.3947712e7 * np.power(n, 4) - - 5.5711424e7 * np.power(n, 5) - - 4.075048e7 * np.power(n, 6) - - 1.0343664e7 * np.power(n, 7) - + 1.264032e7 * np.power(n, 8) - + 1.1884298e7 * np.power(n, 9) - - 2.970289e6 * np.power(n, 10) - - 1.0465411e7 * np.power(n, 11) - - 5.568833e6 * np.power(n, 12) - + 575913.0 * np.power(n, 13) - + 1.874085e6 * np.power(n, 14) - + 879391.0 * np.power(n, 15) - + 186525.0 * np.power(n, 16) - + 15777.0 * np.power(n, 17) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 6) - * np.power(1.0 + n, 6) - * np.power(2.0 + n, 5) - ) - - ( - 0.3950617283950617 - * ( - 141.0 - + 521.0 * n - + 789.0 * np.power(n, 2) - + 185.0 * np.power(n, 3) - + 10.0 * np.power(n, 4) - ) - * np.power(S1, 2) - ) - / (np.power(n, 2) * np.power(1.0 + n, 2) * (2.0 + n)) - + ( - 0.3950617283950617 - * ( - 24.0 - + 83.0 * n - + 49.0 * np.power(n, 2) - + 10.0 * np.power(n, 3) - ) - * np.power(S1, 3) - ) - / (np.power(n, 2) * (1.0 + n) * (2.0 + n)) - + 1.6449340668482262 - * ( - ( - 0.2222222222222222 - * (-2.0 + n) - * ( - 864.0 - + 3264.0 * n - + 6232.0 * np.power(n, 2) - + 9804.0 * np.power(n, 3) - + 10888.0 * np.power(n, 4) - + 9325.0 * np.power(n, 5) - + 6717.0 * np.power(n, 6) - + 3842.0 * np.power(n, 7) - + 1606.0 * np.power(n, 8) - + 405.0 * np.power(n, 9) - + 45.0 * np.power(n, 10) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 4) - * np.power(1.0 + n, 4) - * np.power(2.0 + n, 3) - ) - + ( - 1.7777777777777777 - * ( - 12.0 - + 28.0 * n - + 11.0 * np.power(n, 2) - + 5.0 * np.power(n, 3) - ) - * S1 - ) - / (np.power(n, 2) * (1.0 + n) * (2.0 + n)) - ) - + ( - 0.2962962962962963 - * ( - -5184.0 - - 16992.0 * n - - 27808.0 * np.power(n, 2) - - 39024.0 * np.power(n, 3) - - 31384.0 * np.power(n, 4) - - 19422.0 * np.power(n, 5) - - 13965.0 * np.power(n, 6) - - 6819.0 * np.power(n, 7) - - 398.0 * np.power(n, 8) - + 1416.0 * np.power(n, 9) - + 547.0 * np.power(n, 10) - + 57.0 * np.power(n, 11) - ) - * S2 - ) - / ( - (-1.0 + n) - * np.power(n, 4) - * np.power(1.0 + n, 4) - * np.power(2.0 + n, 3) - ) - + S1 - * ( - ( - -0.06584362139917696 - * ( - -2670.0 - - 10217.0 * n - - 7454.0 * np.power(n, 2) - - 5165.0 * np.power(n, 3) - - 924.0 * np.power(n, 4) - + 230.0 * np.power(n, 5) - ) - ) - / (np.power(n, 2) * np.power(1.0 + n, 3) * (2.0 + n)) - + ( - 1.1851851851851851 - * ( - 24.0 - + 83.0 * n - + 49.0 * np.power(n, 2) - + 10.0 * np.power(n, 3) - ) - * S2 - ) - / (np.power(n, 2) * (1.0 + n) * (2.0 + n)) - ) - - (42.666666666666664 * (-2.0 - 3.0 * n + np.power(n, 2)) * S21) - / (np.power(n, 2) * (1.0 + n) * (2.0 + n)) - - ( - 0.19753086419753085 - * ( - 3888.0 - + 5376.0 * n - + 6832.0 * np.power(n, 2) - + 7472.0 * np.power(n, 3) - + 9129.0 * np.power(n, 4) - + 1736.0 * np.power(n, 5) - - 2382.0 * np.power(n, 6) - - 976.0 * np.power(n, 7) - + 29.0 * np.power(n, 8) - ) - * S3 - ) - / ( - (-1.0 + n) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 2) - ) - + ( - (2.0 + n + np.power(n, 2)) - * ( - -8.772981689857207 * np.power(S1, 2) - - 1.1851851851851851 * np.power(S1, 4) - + 1.2020569031595942 - * ( - ( - -6.222222222222222 - * ( - -24.0 - - 28.0 * n - - 38.0 * np.power(n, 2) - - 17.0 * np.power(n, 3) - - 1.0 * np.power(n, 4) - + 9.0 * np.power(n, 5) - + 3.0 * np.power(n, 6) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * (2.0 + n) - ) - + 24.88888888888889 * S1 - ) - - 7.111111111111111 * np.power(S1, 2) * S2 - - 14.222222222222221 * np.power(S2, 2) - + 85.33333333333333 * S211 - + S1 * (-42.666666666666664 * S21 - 9.481481481481481 * S3) - - 42.666666666666664 * S31 - + 28.444444444444443 * S4 - ) - ) - / (n * (1.0 + n) * (2.0 + n)) - ) + -1706.6666666666665 + - 10875.259259259257 * n + - 33284.675378028754 * n**2 + - 64169.664061405594 * n**3 + - 84478.38609014948 * n**4 + - 79641.6883203241 * n**5 + - 34188.28213390343 * n**6 + + 50383.00160333119 * n**7 + + 137380.89089511195 * n**8 + + 163502.0013461959 * n**9 + + 100003.51351417531 * n**10 + + 3669.940256853264 * n**11 + - 48764.606785121505 * n**12 + - 45256.82055708685 * n**13 + - 22071.646154429887 * n**14 + - 6434.244292978784 * n**15 + - 1064.9350137879046 * n**16 + - 77.39386145946845 * n**17 ) - + 1.5 + - 1.646090534979424 + * n**4 + * (1.0 + n) ** 4 + * (2.0 + n) ** 3 + * (-3.84 - 6.98 * n + 9.83 * n**2 + 10.96 * n**3 + 3.31 * n**4 + n**5) + * S1**3 + + 0.49382716049382713 + * n**5 + * (1.0 + n) ** 5 + * (2.0 + n) ** 4 + * (2 + n + n**2) + * S1**4 + + (1 / (-1 + n)) + * 12.50566219331883 + * n**2 + * (1 + n) ** 2 + * (2 + n) ** 2 * ( - ( - -212.26414844076453 - * ( - -16.0 - - 14.0 * np.power(n, 2) - - 25.0 * np.power(n, 3) - - 5.0 * np.power(n, 4) - + 9.0 * np.power(n, 5) - + 3.0 * np.power(n, 6) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - + 1.6449340668482262 - * ( - ( - 0.05555555555555555 - * ( - 3552.0 - + 17200.0 * n - + 46032.0 * np.power(n, 2) - + 76456.0 * np.power(n, 3) - + 88078.0 * np.power(n, 4) - + 65115.0 * np.power(n, 5) - + 27752.0 * np.power(n, 6) - + 2506.0 * np.power(n, 7) - - 1566.0 * np.power(n, 8) - - 261.0 * np.power(n, 9) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 3) - ) - - ( - 0.4444444444444444 - * ( - 288.0 - + 48.0 * n - - 3392.0 * np.power(n, 2) - - 5768.0 * np.power(n, 3) - - 3602.0 * np.power(n, 4) - + 1523.0 * np.power(n, 5) - + 5338.0 * np.power(n, 6) - + 4868.0 * np.power(n, 7) - + 2088.0 * np.power(n, 8) - + 337.0 * np.power(n, 9) - ) - * S1 - ) - / ( - (-1.0 + n) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 3) - ) - + ( - 2.6666666666666665 - * ( - 36.0 - + 56.0 * n - + 29.0 * np.power(n, 2) - - 137.0 * np.power(n, 3) - - 120.0 * np.power(n, 4) - - 9.0 * np.power(n, 5) - + np.power(n, 6) - ) - * np.power(S1, 2) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - ) - + ( - (2.0 + n + np.power(n, 2)) - * ( - -212.26414844076453 * S1 - + 1.6449340668482262 - * ( - 32.0 * np.power(S1, 3) - - ( - 12.0 - * ( - -4.0 - - 4.0 * n - - 3.0 * np.power(n, 2) - + 2.0 * np.power(n, 3) - + np.power(n, 4) - ) - * S2 - ) - / ((-1.0 + n) * n * (1.0 + n) * (2.0 + n)) - - 8.0 * S3 - + ( - (-8.0 * (1.0 + 3.0 * n + 3.0 * np.power(n, 2))) - / (n * (1.0 + n)) - + 16.0 * S1 - ) - * Sm2 - + 16.0 * Sm21 - - 8.0 * Sm3 - ) - ) - ) - / (n * (1.0 + n) * (2.0 + n)) - ) - ) - + 4.5 - * ( - ( - 77.92727282720195 - * (-2.0 + n) - * (3.0 + n) - * ( - 4.0 - + 4.0 * n - + 7.0 * np.power(n, 2) - + 6.0 * np.power(n, 3) - + 3.0 * np.power(n, 4) - ) + -40.94145452557776 + - 144.43235346523267 * n + - 253.73592804740787 * n**2 + - 354.8177148989626 * n**3 + - 320.47393623567154 * n**4 + - 164.90366681355158 * n**5 + + 24.11092748813364 * n**6 + + 91.48066657983938 * n**7 + + 58.29138222882927 * n**8 + + 25.787008256870585 * n**9 + + 7.333676013446309 * n**10 + + n**11 ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - + ( - 7.05120034829508 - * ( - -56.0 - - 20.0 * n - - 62.0 * np.power(n, 2) - - 75.0 * np.power(n, 3) - - 15.0 * np.power(n, 4) - + 27.0 * np.power(n, 5) - + 9.0 * np.power(n, 6) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - + 1.6449340668482262 + * S2 + + 1.9259259259259258 + * n**5 + * (1 + n) ** 5 + * (2.0 + n) ** 4 + * (2 + n + n**2) + * S2**2 + + n**4 + * (1 + n) ** 3 + * (2 + n) ** 2 + * S1**2 * ( - ( - 0.2222222222222222 - * ( - -3456.0 - - 17184.0 * n - - 39184.0 * np.power(n, 2) - - 57200.0 * np.power(n, 3) - - 54000.0 * np.power(n, 4) - - 36634.0 * np.power(n, 5) - - 19177.0 * np.power(n, 6) - - 16952.0 * np.power(n, 7) - - 17658.0 * np.power(n, 8) - - 8937.0 * np.power(n, 9) - - 997.0 * np.power(n, 10) - + 1190.0 * np.power(n, 11) - + 552.0 * np.power(n, 12) - + 69.0 * np.power(n, 13) - ) - ) - / ( - np.power(-1.0 + n, 2) - * np.power(n, 4) - * np.power(1.0 + n, 4) - * np.power(2.0 + n, 4) - ) - + ( - 0.4444444444444444 - * ( - -864.0 - - 2160.0 * n - + 680.0 * np.power(n, 2) - + 2820.0 * np.power(n, 3) - + 3078.0 * np.power(n, 4) - - 601.0 * np.power(n, 5) - - 809.0 * np.power(n, 6) - + 1298.0 * np.power(n, 7) - + 1124.0 * np.power(n, 8) - + 515.0 * np.power(n, 9) - + 103.0 * np.power(n, 10) - ) - * S1 - ) - / ( - np.power(-1.0 + n, 2) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 3) - ) - - ( - 1.3333333333333333 - * ( - -48.0 - - 116.0 * n - + 4.0 * np.power(n, 2) - - 85.0 * np.power(n, 3) - - 87.0 * np.power(n, 4) - + 33.0 * np.power(n, 5) - + 11.0 * np.power(n, 6) - ) - * np.power(S1, 2) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) + -74.27160493827161 + - 300.6991145317517 * n + - 720.0024564166865 * n**2 + - 631.8555364768818 * n**3 + - 176.73340470935162 * n**4 + + 14.961120650448093 * n**5 + + 14.715435278544426 * n**6 + + 3.9681662390865937 * n**7 + + 12.296296296296296 + * n + * (1.0 + n) ** 2 + * (2.0 + n) ** 2 + * (2.0 + n + n**2) + * S2 ) - + ( - (2.0 + n + np.power(n, 2)) - * ( - 184.0593470475842 * S1 - + 1.6449340668482262 - * ( - -16.0 * np.power(S1, 3) - - ( - 1.3333333333333333 - * ( - -48.0 - - 70.0 * n - - 59.0 * np.power(n, 2) - + 22.0 * np.power(n, 3) - + 11.0 * np.power(n, 4) - ) - * S2 - ) - / ((-1.0 + n) * n * (1.0 + n) * (2.0 + n)) - - 32.0 * S1 * S2 - - 8.0 * S3 - + ( - ( - -2.6666666666666665 - * ( - -36.0 - - 58.0 * n - - 47.0 * np.power(n, 2) - + 22.0 * np.power(n, 3) - + 11.0 * np.power(n, 4) - ) - ) - / ((-1.0 + n) * n * (1.0 + n) * (2.0 + n)) - - 48.0 * S1 - ) - * Sm2 - + 16.0 * Sm21 - - 8.0 * Sm3 - ) - ) + - 8.88888888888889 + * n**4 + * (1.0 + n) ** 4 + * (2.0 + n) ** 3 + * (-6.4 - 15.2 * n + 2.6 * n**2 + 10 * n**3 + 3.8 * n**4 + n**5) + * S21 + - 6.222222222222222 + * n**5 + * (1.0 + n) ** 5 + * (2.0 + n) ** 4 + * (2.0 + n + n**2) + * S211 + - (1 / (-1.0 + n)) + * 21.16872427983539 + * n**3 + * (1.0 + n) ** 3 + * (2.0 + n) ** 3 + * ( + 12.093312597200622 + + 25.791601866251945 * n + + 37.262830482115085 * n**2 + + 35.36236391912908 * n**3 + + 43.72161741835148 * n**4 + + 31.71384136858476 * n**5 + + 14.762052877138414 * n**6 + + 3.878693623639191 * n**7 + + n**8 ) - / (n * (1.0 + n) * (2.0 + n)) - ) - + 0.8888888888888888 - * ( - (106.13207422038226 * (-1.0 + n) * (-2.0 + 3.0 * n + 3.0 * np.power(n, 2))) - / (np.power(n, 2) * np.power(1.0 + n, 2)) - + 1.6449340668482262 + * S3 + - 16.88888888888889 + * n**5 + * (1.0 + n) ** 5 + * (2.0 + n) ** 4 + * (2.0 + n + n**2) + * S31 + + 62.81481481481482 + * n**5 + * (1.0 + n) ** 5 + * (2.0 + n) ** 4 + * (2.0 + n + n**2) + * S4 + + 24.0 + * n**5 + * (1.0 + n) ** 3 + * (2.0 + n) ** 2 * ( - ( - 0.5 - * ( - 48.0 - + 184.0 * n - + 176.0 * np.power(n, 2) - - 222.0 * np.power(n, 3) - - 947.0 * np.power(n, 4) - - 1374.0 * np.power(n, 5) - - 1196.0 * np.power(n, 6) - - 612.0 * np.power(n, 7) - - 153.0 * np.power(n, 8) - ) - ) - / (np.power(n, 4) * np.power(1.0 + n, 4) * (2.0 + n)) - + ( - 8.0 - * ( - -10.0 - - 29.0 * n - - 21.0 * np.power(n, 2) - + 8.0 * np.power(n, 3) - + 39.0 * np.power(n, 4) - + 36.0 * np.power(n, 5) - + 13.0 * np.power(n, 6) - ) - * S1 - ) - / (np.power(n, 3) * np.power(1.0 + n, 3) * (2.0 + n)) - + ( - 4.0 - * ( - 20.0 - + 48.0 * n - + 43.0 * np.power(n, 2) - + 14.0 * np.power(n, 3) - + 3.0 * np.power(n, 4) - ) - * np.power(S1, 2) + 9.91735504245947 + - 8.888888888888888 * S1 + + 8.0 * S1**2 + + 13.333333333333334 * S2 + + n**6 + * ( + 1.1285582691963223 + - 1.111111111111111 * S1 + + 1.0 * S1**2 + + 1.6666666666666667 * S2 ) - / (np.power(n, 2) * np.power(1.0 + n, 2) * (2.0 + n)) - ) - + ( - 1.6449340668482262 - * (2.0 + n + np.power(n, 2)) + + n**5 * ( - -16.0 * np.power(S1, 3) - - (8.0 * (2.0 + 3.0 * n + 3.0 * np.power(n, 2)) * S2) - / (n * (1.0 + n)) - + 32.0 * S1 * S2 - + 16.0 * S3 - + (-16.0 / (n * (1.0 + n)) + 32.0 * S1) * Sm2 - - 32.0 * Sm21 - + 16.0 * Sm3 + 7.270278254744628 + - 6.444444444444444 * S1 + + 7.0 * S1**2 + + 11.666666666666666 * S2 ) - ) - / (n * (1.0 + n) * (2.0 + n)) - ) - + 0.75 - * ( - 1.6449340668482262 - * ( - ( - -0.4444444444444444 - * ( - 672.0 - + 3008.0 * n - + 5352.0 * np.power(n, 2) - + 6500.0 * np.power(n, 3) - + 5180.0 * np.power(n, 4) - + 3171.0 * np.power(n, 5) - + 2134.0 * np.power(n, 6) - + 1148.0 * np.power(n, 7) - + 414.0 * np.power(n, 8) - + 69.0 * np.power(n, 9) - ) + + n**4 + * ( + 27.0330569864561 + - 23.333333333333332 * S1 + + 21.0 * S1**2 + + 35.0 * S2 ) - / ( - (-1.0 + n) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 3) + + n + * ( + 18.858890796756288 + - 49.77777777777777 * S1 + + 28.0 * S1**2 + + 46.666666666666664 * S2 ) - + ( - 17.77777777777778 - * ( - 4.0 - - 1.0 * n - + np.power(n, 2) - + 4.0 * np.power(n, 3) - + np.power(n, 4) - ) - * S1 + + n**3 + * ( + 51.79369299730096 + - 59.77777777777777 * S1 + + 37.0 * S1**2 + + 61.666666666666664 * S2 ) - / (n * np.power(1.0 + n, 2) * np.power(2.0 + n, 2)) - ) - + ( - 1.6449340668482262 - * (2.0 + n + np.power(n, 2)) + + n**2 * ( - 13.333333333333334 * np.power(S1, 2) - + 13.333333333333334 * S2 - + 26.666666666666668 * Sm2 + 45.17722508402332 + - 82.66666666666664 * S1 + + 42.0 * S1**2 + + 70.0 * S2 ) ) - / (n * (1.0 + n) * (2.0 + n)) - + nf + * Sm2 + + 26.666666666666664 + * n**5 + * (1.0 + n) ** 4 + * (2.0 + n) ** 3 + * (4.0 + 16.4 * n + 10.6 * n**2 + 2.8 * n**3 + n**4) + * Sm21 + + n**4 + * (1.0 + n) ** 2 + * (2.0 + n) + * S1 * ( - ( - -0.03292181069958848 - * ( - 3456.0 - + 18432.0 * n - + 33504.0 * np.power(n, 2) - - 22912.0 * np.power(n, 3) - - 281016.0 * np.power(n, 4) - - 465872.0 * np.power(n, 5) - - 806374.0 * np.power(n, 6) - - 1.459136e6 * np.power(n, 7) - - 1.48494e6 * np.power(n, 8) - - 377441.0 * np.power(n, 9) - + 849246.0 * np.power(n, 10) - + 1.139033e6 * np.power(n, 11) - + 692290.0 * np.power(n, 12) - + 237011.0 * np.power(n, 13) - + 44514.0 * np.power(n, 14) - + 3597.0 * np.power(n, 15) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 5) - * np.power(1.0 + n, 5) - * np.power(2.0 + n, 5) - ) - + ( - 0.09876543209876543 - * ( - 1256.0 - + 3172.0 * n - + 6816.0 * np.power(n, 2) - + 6430.0 * np.power(n, 3) - + 2355.0 * np.power(n, 4) - + 271.0 * np.power(n, 5) - + 22.0 * np.power(n, 6) - ) - * np.power(S1, 2) - ) - / (n * np.power(1.0 + n, 3) * np.power(2.0 + n, 3)) - - ( - 0.19753086419753085 - * ( - 134.0 - + 439.0 * n - + 344.0 * np.power(n, 2) - + 107.0 * np.power(n, 3) - + 20.0 * np.power(n, 4) - ) - * np.power(S1, 3) - ) - / (n * np.power(1.0 + n, 2) * np.power(2.0 + n, 2)) - + 1.6449340668482262 + (1 / (-1.0 + n)) * ( - ( - -0.4444444444444444 - * ( - 96.0 - + 224.0 * n - - 48.0 * np.power(n, 2) - - 244.0 * np.power(n, 3) - - 610.0 * np.power(n, 4) - - 501.0 * np.power(n, 5) - - 32.0 * np.power(n, 6) - + 146.0 * np.power(n, 7) - + 90.0 * np.power(n, 8) - + 15.0 * np.power(n, 9) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 3) - ) - - ( - 1.7777777777777777 - * ( - 20.0 - + 76.0 * n - + 59.0 * np.power(n, 2) - + 20.0 * np.power(n, 3) - + 5.0 * np.power(n, 4) - ) - * S1 - ) - / (n * np.power(1.0 + n, 2) * np.power(2.0 + n, 2)) - ) - + ( - 0.09876543209876543 - * ( - -1728.0 - - 4032.0 * n - - 3128.0 * np.power(n, 2) - - 6644.0 * np.power(n, 3) - + 7720.0 * np.power(n, 4) - + 15770.0 * np.power(n, 5) - + 6901.0 * np.power(n, 6) - + 806.0 * np.power(n, 7) - - 117.0 * np.power(n, 8) - + 4.0 * np.power(n, 9) - ) - * S2 - ) - / ( - (-1.0 + n) - * np.power(n, 3) - * np.power(1.0 + n, 3) - * np.power(2.0 + n, 3) - ) - + S1 + -519.7183890539501 + - 2800.054284509767 * n + - 3831.2973294216836 * n**2 + - 3450.917504245779 * n**3 + - 337.3605543706711 * n**4 + + 4392.313928071448 * n**5 + + 5284.589150336902 * n**6 + + 2749.8405498667044 * n**7 + + 725.8130102575197 * n**8 + + 90.15064415072688 * n**9 + + 0.6407789185504204 * n**10 + ) + - 13.82716049382716 + * (1.0 + n) ** 2 + * (2.0 + n) ** 2 * ( - ( - 0.06584362139917696 - * ( - 864.0 - - 2672.0 * n - - 11408.0 * np.power(n, 2) - - 73764.0 * np.power(n, 3) - - 73982.0 * np.power(n, 4) - + 29418.0 * np.power(n, 5) - + 87216.0 * np.power(n, 6) - + 61598.0 * np.power(n, 7) - + 23603.0 * np.power(n, 8) - + 5292.0 * np.power(n, 9) - + 491.0 * np.power(n, 10) - ) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 4) - * np.power(2.0 + n, 4) - ) - - ( - 0.5925925925925926 - * ( - 214.0 - + 779.0 * n - + 544.0 * np.power(n, 2) - + 151.0 * np.power(n, 3) - + 40.0 * np.power(n, 4) - ) - * S2 - ) - / (n * np.power(1.0 + n, 2) * np.power(2.0 + n, 2)) - ) - - ( - 2.3703703703703702 - * ( - 20.0 - + 85.0 * n - + 50.0 * np.power(n, 2) - + 11.0 * np.power(n, 3) - + 5.0 * np.power(n, 4) - ) - * S21 - ) - / (n * np.power(1.0 + n, 2) * np.power(2.0 + n, 2)) - - ( - 0.3950617283950617 - * ( - 648.0 - + 496.0 * n - + 370.0 * np.power(n, 2) - + 725.0 * np.power(n, 3) - + 1155.0 * np.power(n, 4) - + 429.0 * np.power(n, 5) - + 65.0 * np.power(n, 6) - ) - * S3 - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - + ( - 0.3950617283950617 - * ( - 448.0 - + 284.0 * n - + 1794.0 * np.power(n, 2) - + 2552.0 * np.power(n, 3) - + 1257.0 * np.power(n, 4) - + 278.0 * np.power(n, 5) - + 47.0 * np.power(n, 6) - ) - * Sm2 - ) - / (n * np.power(1.0 + n, 3) * np.power(2.0 + n, 3)) - + ( - 1.1851851851851851 - * ( - 216.0 - - 20.0 * n - - 548.0 * np.power(n, 2) - - 511.0 * np.power(n, 3) - - 339.0 * np.power(n, 4) - - 99.0 * np.power(n, 5) - + 5.0 * np.power(n, 6) - ) - * Sm3 - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - - ( - 7.111111111111111 - * ( - 36.0 - - 20.0 * n - - 143.0 * np.power(n, 2) - - 61.0 * np.power(n, 3) - - 24.0 * np.power(n, 4) - - 9.0 * np.power(n, 5) - + 5.0 * np.power(n, 6) - ) - * (S1 * Sm2 - 1.0 * Sm21 + Sm3) - ) - / ( - (-1.0 + n) - * np.power(n, 2) - * np.power(1.0 + n, 2) - * np.power(2.0 + n, 2) - ) - + ( - (2.0 + n + np.power(n, 2)) - * ( - 1.2020569031595942 - * ( - (49.77777777777778 * (1.0 + n + np.power(n, 2))) - / ((-1.0 + n) * n * (1.0 + n) * (2.0 + n)) - - 24.88888888888889 * S1 - ) - + 1.1851851851851851 * np.power(S1, 4) - + 19.555555555555557 * np.power(S1, 2) * S2 - + 8.88888888888889 * np.power(S2, 2) - - 46.22222222222222 * S211 - + S1 * (24.88888888888889 * S21 + 69.92592592592592 * S3) - - 3.5555555555555554 * S31 - + 71.11111111111111 * S4 - + ( - (-64.0 * (-1.0 + 2.0 * n) * S1) / ((-1.0 + n) * n) - + 42.666666666666664 * S2 - ) - * Sm2 - + 1.6449340668482262 - * ( - 5.333333333333333 * np.power(S1, 2) - + 5.333333333333333 * S2 - + 10.666666666666666 * Sm2 - ) - + (64.0 * (-1.0 + 2.0 * n) * Sm21) / ((-1.0 + n) * n) - + 7.111111111111111 * Sm4 - - 21.333333333333332 * (S2 * Sm2 - 1.0 * Sm22 + Sm4) - - 10.666666666666666 * (S1 * Sm3 - 1.0 * Sm31 + Sm4) - + 64.0 - * ( - S2 * Sm2 - - 0.5 * (np.power(S1, 2) + S2) * Sm2 - + Sm211 - - 1.0 * Sm22 - + S1 * (S1 * Sm2 - 1.0 * Sm21 + Sm3) - - 1.0 * Sm31 - + Sm4 - ) - ) - ) - / (n * (1.0 + n) * (2.0 + n)) + -1.3714285714285714 + + 0.07857142857142857 * n + + 14.439285714285715 * n**2 + + 10.342857142857143 * n**3 + + 2.5964285714285715 * n**4 + + n**5 + ) + * S2 + + 4.444444444444445 + * n + * (1.0 + n) ** 3 + * (2.0 + n) ** 3 + * (2.0 + n + n**2) + * S21 + + 49.28395061728395 + * n + * (1.0 + n) ** 3 + * (2.0 + n) ** 3 + * (2.0 + n + n**2) + * S3 + - 48.0 * n * (1.0 + n) ** 3 * (2.0 + n) ** 3 * (2.0 + n + n**2) * Sm21 + ) + + 48.0 * n**5 * (1.0 + n) ** 5 * (2.0 + n) ** 4 * (2.0 + n + n**2) * Sm211 + - 32.0 * n**5 * (1.0 + n) ** 5 * (2.0 + n) ** 4 * (2.0 + n + n**2) * Sm22 + + 40.0 + * n**5 + * (1.0 + n) ** 4 + * (2.0 + n) ** 3 + * ( + -2.2222222222222223 + + 4.0 * S1 + + n**4 * (-0.5555555555555556 + S1) + + n**3 * (-1.5555555555555554 + 4.0 * S1) + + n**2 * (-5.888888888888888 + 7.0 * S1) + + n * (-9.11111111111111 + 8.0 * S1) ) + * Sm3 + - 40.0 * n**5 * (1.0 + n) ** 5 * (2.0 + n) ** 4 * (2.0 + n + n**2) * Sm31 + + 29.333333333333332 + * n**5 + * (1.0 + n) ** 5 + * (2.0 + n) ** 4 + * (2.0 + n + n**2) + * Sm4 ) ) + return aHg_nf0 + nf * aHg_nf1 diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHq.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHq.py index a0a27759c..ccba54fdd 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHq.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aHq.py @@ -1,4 +1,5 @@ """The unpolarized, space-like |N3LO| heavy-quark |OME|.""" + # pylint: disable=too-many-lines import numba as nb import numpy as np @@ -14,7 +15,7 @@ def A_Hq(n, cache, nf, L): # pylint: disable=too-many-locals and :cite:`Blumlein:2017wxd` :eqref:`3.1`. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. The part proportional to :math:`n_f^0` includes non trivial weight-5 harmonics and has been parametrized in Mellin space. diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agg.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agg.py index 5172f2e2e..d740f7810 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agg.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agg.py @@ -1,27 +1,49 @@ """The unpolarized, space-like |N3LO| gluon-gluon |OME|.""" + # pylint: skip-file import numba as nb import numpy as np from .....harmonics import cache as c +from .....harmonics.log_functions import ( + lm11, + lm11m1, + lm11m2, + lm12, + lm12m1, + lm12m2, + lm13, + lm13m1, + lm13m2, + lm14m1, + lm14m2, +) @nb.njit(cache=True) def a_gg3(n, cache, nf): - r"""Compute the approximate part of :math:`a_{gg}^{S,(3)}(N)`. + r"""Compute :math:`a_{gg}^{(3)}(N)`. + + The expression is presented in :cite:`Ablinger:2022wbb`. + + The :math:`n_f^0` piece is parametrized from: - This is the part of :math:`A_{gg}^{S,(3)}(N)` proportional to :math:`\mathcal{O}(\epsilon^0)`, - the expression is presented in :cite:`Ablinger:2022wbb`. - It contains binomial factors which are approximated. + - the small-x limit :eqref:`4.10` + - the large-x limit :eqref:`4.11` + - the expansion of the local and singular parts in :eqref:`4.6, 4.7` + - the first 15 Mellin moments up to :math:`N=30` + + The analytical expression contains binomial factors + which are not practical to use. When using the code, please cite the complete list of references - available in :mod:`eko.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- n : complex Mellin moment - cache: numpy.ndarray + cache : numpy.ndarray Harmonic sum cache nf : int number of active flavor below the threshold @@ -29,37 +51,54 @@ def a_gg3(n, cache, nf): Returns ------- complex - :math:`a_{gg}^{S,(3)}(N)` + :math:`a_{gg}^{(3)}(N)` """ S1 = c.get(c.S1, cache, n) S2 = c.get(c.S2, cache, n) S3 = c.get(c.S3, cache, n) S4 = c.get(c.S4, cache, n) - S5 = c.get(c.S5, cache, n) + + Lm11 = lm11(n, S1) + Lm12 = lm12(n, S1, S2) + Lm13 = lm13(n, S1, S2, S3) + Lm11m1 = lm11m1(n, S1) + Lm12m1 = lm12m1(n, S1, S2) + Lm13m1 = lm13m1(n, S1, S2, S3) + Lm14m1 = lm14m1(n, S1, S2, S3, S4) + Lm11m2 = lm11m2(n, S1) + Lm12m2 = lm12m2(n, S1, S2) + Lm13m2 = lm13m2(n, S1, S2, S3) + Lm14m2 = lm14m2(n, S1, S2, S3, S4) # the nf^0 part is parametrized since it contains nasty binomial factors. agg3_nf0_param = ( - 119.55586399490849 - + 643.5919221725146 / (-1.0 + n) ** 2 - - 4243.672748386901 / (-1.0 + n) - - 1097.3959566791473 / n**6 - - 2166.223781401583 / n**5 - + 5864.212793800409 / n**4 - + 31055.955132702067 / n**3 - + 5195.523226994994 / n**2 - + 4052.670326185617 / n - + 723.5270116330819 * S1 - - (24416.76276706736 * S1) / n**4 - - (12798.647797499609 * S1) / n**3 - - (1191.9103600256221 * S1) / n**2 - - (411.7226853758584 * S1) / n - - 1.0287077597852439 * S1**2 - + 0.055958522352878494 * S1**3 - - 0.0011488227245772988 * S1**4 - + 68.79337566373333 * S2 - + 100.07538288542415 * S3 - + 110.06866836903241 * S4 - + 115.46020088075208 * S5 + 619.2420126046355 + + 701.1986854426286 / (-1.0 + n) ** 2 + - 4954.442786280953 / (-1.0 + n) + + 305.77777777777777 / n**6 + - 668.4444444444445 / n**5 + + 2426.352476661977 / n**4 + - 3148.735962235475 / n**3 + + 9155.33153602228 / n**2 + + 5069.820034891387 / n + - 6471.478696979203 / (1.0 + n) ** 2 + - 8987.70366338934 / (n + n**2) + - 21902.776840085757 / (2.0 + 3.0 * n + n**2) + - 78877.91436146703 / (3.0 + 4.0 * n + n**2) + - 207627.85210030797 / (6.0 + 5.0 * n + n**2) + + 860105.1673083167 / (6.0 + 11.0 * n + 6.0 * n**2 + n**3) + + 714.9711186248866 * S1 + + 576.0307099030653 * Lm11 + - 14825.806057017968 * Lm11m1 + + 368095.9894734118 * Lm11m2 + + 40.908173376688424 * Lm12 + - 6838.198890554838 * Lm12m1 + + 474165.7099083288 * Lm12m2 + + 5.333333333333333 * Lm13 + - 4424.7425689765805 * Lm13m1 + + 50838.65442166183 * Lm13m2 + - 508.9445773396529 * Lm14m1 + + 28154.716500168193 * Lm14m2 ) agg3_nf1 = 0.75 * ( -( @@ -253,7 +292,7 @@ def A_gg(n, cache, nf, L): The expression is presented in :cite:`Bierenbaum:2009mv`. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agq.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agq.py index a75a90fe8..3296925c0 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agq.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/agq.py @@ -1,4 +1,5 @@ """The unpolarized, space-like |N3LO| gluon-quark |OME|.""" + import numba as nb import numpy as np @@ -12,7 +13,7 @@ def A_gq(n, cache, nf, L): # pylint: disable=too-many-locals The expression is presented in :cite:`Ablinger_2014` :eqref:`6.3`. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqg.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqg.py index aa96a0dde..725c0ec84 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqg.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqg.py @@ -1,4 +1,5 @@ """The unpolarized, space-like |N3LO| quark-gluon |OME|.""" + import numba as nb import numpy as np @@ -12,7 +13,7 @@ def A_qg(n, cache, nf, L): The expression is presented in :cite:`Bierenbaum:2009mv`. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqNS.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqNS.py index f5a374f20..55e8b37fe 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqNS.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqNS.py @@ -1,4 +1,5 @@ """The unpolarized, space-like |N3LO| quark-quark non-singlet |OME|.""" + import numba as nb import numpy as np @@ -14,9 +15,9 @@ def A_qqNS(n, cache, nf, L, eta): :cite:`Ablinger:2014vwa`. It contains some weight 5 harmonics sums. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. - Note the part proportional to nf^0 includes weight = 5 + Note the part proportional to :math:`n_f^0` includes weight = 5 harmonics and has been parametrized in Mellin space. For this piece the accuracy wrt the known moments is below the 0.01% (N<1000) and the absolute diff is within 5e-3. diff --git a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqPS.py b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqPS.py index 743faaf34..50e6ccabd 100644 --- a/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqPS.py +++ b/src/ekore/operator_matrix_elements/unpolarized/space_like/as3/aqqPS.py @@ -1,4 +1,5 @@ """The unpolarized, space-like |N3LO| quark-quark pure-singlet |OME|.""" + import numba as nb import numpy as np @@ -12,7 +13,7 @@ def A_qqPS(n, cache, nf, L): The expression is presented in :cite:`Bierenbaum:2009mv`. When using the code, please cite the complete list of references - available in :mod:`ekore.matching_conditions.as3`. + available in :mod:`~ekore.operator_matrix_elements.unpolarized.space_like.as3`. Parameters ---------- diff --git a/tests/eko/evolution_operator/test_grid.py b/tests/eko/evolution_operator/test_grid.py index 804388db6..01754578a 100644 --- a/tests/eko/evolution_operator/test_grid.py +++ b/tests/eko/evolution_operator/test_grid.py @@ -72,7 +72,7 @@ def test_mod_expanded(theory_card, theory_ffns, operator_card, tmp_path: pathlib else: theory = theory_card theory.order = (1, 0) - theory.heavy.num_flavs_init = nf0 + operator_card.init = (operator_card.init[0], nf0) path.unlink(missing_ok=True) opgrid = legacy.Runner(theory, operator_card, path=path).op_grid opg = opgrid.compute() diff --git a/tests/eko/evolution_operator/test_init.py b/tests/eko/evolution_operator/test_init.py index 66112aff8..ed003f925 100644 --- a/tests/eko/evolution_operator/test_init.py +++ b/tests/eko/evolution_operator/test_init.py @@ -1,4 +1,5 @@ import os +from dataclasses import dataclass import numpy as np import pytest @@ -11,6 +12,7 @@ from eko.evolution_operator import Operator, quad_ker from eko.interpolation import InterpolatorDispatcher from eko.io.runcards import OperatorCard, ScaleVariationsMethod, TheoryCard +from eko.kernels import EvoMethods from eko.kernels import non_singlet as ns from eko.kernels import non_singlet_qed as qed_ns from eko.kernels import singlet as s @@ -25,9 +27,9 @@ def test_quad_ker_errors(): order=(1, 0), mode0=mode0, mode1=0, - method="", + method="iterate-exact", is_log=True, - logx=0.1, + logx=np.log(0.1), areas=[[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]], as_list=[2.0, 1.0], mu2_from=1.0, @@ -60,15 +62,29 @@ def test_quad_ker(monkeypatch): monkeypatch.setattr(qed_ns, "dispatcher", lambda *args: 1.0) monkeypatch.setattr(s, "dispatcher", lambda *args: np.identity(2)) params = [ - ((1, 0), br.non_singlet_pids_map["ns+"], 0, "", 0.0, 0.0), - ((1, 0), br.non_singlet_pids_map["ns+"], 0, "", 0.123, 1.0), - ((3, 1), br.non_singlet_pids_map["ns+u"], 0, "", 0.0, 0.0), - ((1, 0), 100, 100, "", 0.123, 1.0), - ((1, 0), 100, 21, "", 0.0, 0.0), - ((1, 1), 100, 100, "iterate-exact", 0.123, 1.0), - ((1, 1), 100, 21, "iterate-exact", 0.123, 0.0), - ((1, 1), 10200, 10200, "iterate-exact", 0.123, 1.0), - ((1, 1), 10200, 10204, "iterate-exact", 0.123, 0.0), + ((1, 0), br.non_singlet_pids_map["ns+"], 0, EvoMethods.ITERATE_EXACT, 0.0, 0.0), + ( + (1, 0), + br.non_singlet_pids_map["ns+"], + 0, + EvoMethods.ITERATE_EXACT, + 0.123, + 1.0, + ), + ( + (3, 1), + br.non_singlet_pids_map["ns+u"], + 0, + EvoMethods.ITERATE_EXACT, + 0.0, + 0.0, + ), + ((1, 0), 100, 100, EvoMethods.ITERATE_EXACT, 0.123, 1.0), + ((1, 0), 100, 21, EvoMethods.ITERATE_EXACT, 0.0, 0.0), + ((1, 1), 100, 100, EvoMethods.ITERATE_EXACT, 0.123, 1.0), + ((1, 1), 100, 21, EvoMethods.ITERATE_EXACT, 0.123, 0.0), + ((1, 1), 10200, 10200, EvoMethods.ITERATE_EXACT, 0.123, 1.0), + ((1, 1), 10200, 10204, EvoMethods.ITERATE_EXACT, 0.123, 0.0), ] for order, mode0, mode1, method, logx, res in params: for is_log in [True, False]: @@ -107,7 +123,7 @@ def test_quad_ker(monkeypatch): order=(1, 0), mode0=label[0], mode1=label[1], - method="", + method=EvoMethods.ITERATE_EXACT, is_log=True, logx=0.123, areas=np.zeros(3), @@ -143,7 +159,7 @@ def test_quad_ker(monkeypatch): order=(1, 1), mode0=label[0], mode1=label[1], - method="iterate-exact", + method=EvoMethods.ITERATE_EXACT, is_log=True, logx=0.123, areas=np.zeros(3), @@ -171,7 +187,7 @@ def test_quad_ker(monkeypatch): order=(1, 0), mode0=br.non_singlet_pids_map["ns+"], mode1=0, - method="", + method=EvoMethods.ITERATE_EXACT, is_log=True, logx=0.0, areas=np.zeros(3), @@ -212,7 +228,12 @@ def compute(self, a_ref, nf, scale_from, scale_to): return a_ref -fake_managers = {"couplings": FakeCoupling()} +@dataclass(frozen=True) +class FakeManagers: + couplings: FakeCoupling + + +fake_managers = FakeManagers(couplings=FakeCoupling()) class TestOperator: @@ -436,7 +457,7 @@ def quad_ker_pegasus( order = (2, 0) mode0 = br.non_singlet_pids_map["ns+"] mode1 = 0 - method = "" + method = EvoMethods.ITERATE_EXACT logxs = np.log(int_disp.xgrid.raw) a1 = 1 a0 = 2 diff --git a/tests/eko/evolution_operator/test_init.py.patch b/tests/eko/evolution_operator/test_init.py.patch deleted file mode 100644 index 494f59a25..000000000 --- a/tests/eko/evolution_operator/test_init.py.patch +++ /dev/null @@ -1,601 +0,0 @@ -diff --git a/tests/eko/evolution_operator/test_init.py b/tests/eko/evolution_operator/test_init.py -index 47d5e700..2315a2cb 100644 ---- a/tests/eko/evolution_operator/test_init.py -+++ b/tests/eko/evolution_operator/test_init.py -@@ -5,7 +5,6 @@ import pytest - import scipy.integrate - - import eko.runner.legacy --import ekore.anomalous_dimensions.unpolarized.space_like as ad - from eko import basis_rotation as br - from eko import interpolation, mellin - from eko.evolution_operator import Operator, quad_ker -@@ -16,177 +15,176 @@ from eko.kernels import non_singlet_qed as qed_ns - from eko.kernels import singlet as s - from eko.matchings import Segment - -- --def test_quad_ker_errors(): -- for mode0 in [br.non_singlet_pids_map["ns+"], 21]: -- with pytest.raises(NotImplementedError): -- quad_ker( -- u=0.3, -- order=(1, 0), -- mode0=mode0, -- mode1=0, -- method="", -- is_log=True, -- logx=0.1, -- areas=[[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]], -- as_list=[2.0, 1.0], -- mu2_from=1.0, -- mu2_to=2.0, -- a_half=np.array([[1.5, 0.01]]), -- alphaem_running=False, -- nf=3, -- L=0, -- ev_op_iterations=1, -- ev_op_max_order=(1, 0), -- sv_mode=1, -- is_threshold=False, -- is_polarized=True, -- is_time_like=True, -- n3lo_ad_variation=(0, 0, 0, 0), -- ) -+# def test_quad_ker_errors(): -+# for mode0 in [br.non_singlet_pids_map["ns+"], 21]: -+# with pytest.raises(NotImplementedError): -+# quad_ker( -+# u=0.3, -+# order=(1, 0), -+# mode0=mode0, -+# mode1=0, -+# method="", -+# is_log=True, -+# logx=0.1, -+# areas=[[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]], -+# as_list=[2.0, 1.0], -+# mu2_from=1.0, -+# mu2_to=2.0, -+# a_half=np.array([[1.5, 0.01]]), -+# alphaem_running=False, -+# nf=3, -+# L=0, -+# ev_op_iterations=1, -+# ev_op_max_order=(1, 0), -+# sv_mode=1, -+# is_threshold=False, -+# is_polarized=True, -+# is_time_like=True, -+# n3lo_ad_variation=(0, 0, 0, 0), -+# ) - - --def test_quad_ker(monkeypatch): -- monkeypatch.setattr( -- mellin, "Talbot_path", lambda *args: 2 -- ) # N=2 is a safe evaluation point -- monkeypatch.setattr( -- mellin, "Talbot_jac", lambda *args: complex(0, np.pi) -- ) # negate mellin prefactor -- monkeypatch.setattr(interpolation, "log_evaluate_Nx", lambda *args: 1) -- monkeypatch.setattr(interpolation, "evaluate_Nx", lambda *args: 1) -- monkeypatch.setattr(ns, "dispatcher", lambda *args: 1.0) -- monkeypatch.setattr(qed_ns, "dispatcher", lambda *args: 1.0) -- monkeypatch.setattr(s, "dispatcher", lambda *args: np.identity(2)) -- params = [ -- ((1, 0), br.non_singlet_pids_map["ns+"], 0, "", 0.0, 0.0), -- ((1, 0), br.non_singlet_pids_map["ns+"], 0, "", 0.123, 1.0), -- ((3, 1), br.non_singlet_pids_map["ns+u"], 0, "", 0.0, 0.0), -- ((1, 0), 100, 100, "", 0.123, 1.0), -- ((1, 0), 100, 21, "", 0.0, 0.0), -- ((1, 1), 100, 100, "iterate-exact", 0.123, 1.0), -- ((1, 1), 100, 21, "iterate-exact", 0.123, 0.0), -- ((1, 1), 10200, 10200, "iterate-exact", 0.123, 1.0), -- ((1, 1), 10200, 10204, "iterate-exact", 0.123, 0.0), -- ] -- for order, mode0, mode1, method, logx, res in params: -- for is_log in [True, False]: -- for t, p in [(False, False), (False, True), (True, False)]: -- res_ns = quad_ker( -- u=0, -- order=order, -- mode0=mode0, -- mode1=mode1, -- method=method, -- is_log=is_log, -- logx=logx, -- areas=np.zeros(3), -- as_list=[2.0, 1.0], -- mu2_from=1, -- mu2_to=2, -- a_half=np.array([[1.5, 0.01]]), -- alphaem_running=False, -- nf=3, -- L=0, -- ev_op_iterations=0, -- ev_op_max_order=(0, 0), -- sv_mode=1, -- is_threshold=False, -- is_polarized=p, -- is_time_like=t, -- n3lo_ad_variation=(0, 0, 0, 0), -- ) -- np.testing.assert_allclose(res_ns, res) -- for label in [(br.non_singlet_pids_map["ns+"], 0), (100, 100)]: -- for sv in [2, 3]: -- for polarized in [True, False]: -- res_sv = quad_ker( -- u=0, -- order=(1, 0), -- mode0=label[0], -- mode1=label[1], -- method="", -- is_log=True, -- logx=0.123, -- areas=np.zeros(3), -- as_list=[2.0, 1.0], -- mu2_from=1, -- mu2_to=2, -- a_half=np.array([[1.5, 0.01]]), -- alphaem_running=False, -- nf=3, -- L=0, -- ev_op_iterations=0, -- ev_op_max_order=(1, 0), -- sv_mode=sv, -- is_threshold=False, -- is_polarized=polarized, -- is_time_like=False, -- n3lo_ad_variation=(0, 0, 0, 0), -- ) -- np.testing.assert_allclose(res_sv, 1.0) -- for label in [ -- (100, 100), -- (21, 21), -- (22, 22), -- (101, 101), -- (10200, 10200), -- (10204, 10204), -- (10202, 0), -- ]: -- for sv in [2, 3]: -- res_sv = quad_ker( -- u=0, -- order=(1, 1), -- mode0=label[0], -- mode1=label[1], -- method="iterate-exact", -- is_log=True, -- logx=0.123, -- areas=np.zeros(3), -- as_list=[2.0, 1.0], -- mu2_from=1, -- mu2_to=2, -- a_half=np.array([[1.5, 0.01]]), -- alphaem_running=False, -- nf=3, -- L=0, -- ev_op_iterations=0, -- ev_op_max_order=(1, 0), -- sv_mode=sv, -- is_threshold=False, -- n3lo_ad_variation=(0, 0, 0, 0), -- is_polarized=False, -- is_time_like=False, -- ) -- np.testing.assert_allclose(res_sv, 1.0) -+# def test_quad_ker(monkeypatch): -+# monkeypatch.setattr( -+# mellin, "Talbot_path", lambda *args: 2 -+# ) # N=2 is a safe evaluation point -+# monkeypatch.setattr( -+# mellin, "Talbot_jac", lambda *args: complex(0, np.pi) -+# ) # negate mellin prefactor -+# monkeypatch.setattr(interpolation, "log_evaluate_Nx", lambda *args: 1) -+# monkeypatch.setattr(interpolation, "evaluate_Nx", lambda *args: 1) -+# monkeypatch.setattr(ns, "dispatcher", lambda *args: 1.0) -+# monkeypatch.setattr(qed_ns, "dispatcher", lambda *args: 1.0) -+# monkeypatch.setattr(s, "dispatcher", lambda *args: np.identity(2)) -+# params = [ -+# ((1, 0), br.non_singlet_pids_map["ns+"], 0, "", 0.0, 0.0), -+# ((1, 0), br.non_singlet_pids_map["ns+"], 0, "", 0.123, 1.0), -+# ((3, 1), br.non_singlet_pids_map["ns+u"], 0, "", 0.0, 0.0), -+# ((1, 0), 100, 100, "", 0.123, 1.0), -+# ((1, 0), 100, 21, "", 0.0, 0.0), -+# ((1, 1), 100, 100, "iterate-exact", 0.123, 1.0), -+# ((1, 1), 100, 21, "iterate-exact", 0.123, 0.0), -+# ((1, 1), 10200, 10200, "iterate-exact", 0.123, 1.0), -+# ((1, 1), 10200, 10204, "iterate-exact", 0.123, 0.0), -+# ] -+# for order, mode0, mode1, method, logx, res in params: -+# for is_log in [True, False]: -+# for t, p in [(False, False), (False, True), (True, False)]: -+# res_ns = quad_ker( -+# u=0, -+# order=order, -+# mode0=mode0, -+# mode1=mode1, -+# method=method, -+# is_log=is_log, -+# logx=logx, -+# areas=np.zeros(3), -+# as_list=[2.0, 1.0], -+# mu2_from=1, -+# mu2_to=2, -+# a_half=np.array([[1.5, 0.01]]), -+# alphaem_running=False, -+# nf=3, -+# L=0, -+# ev_op_iterations=0, -+# ev_op_max_order=(0, 0), -+# sv_mode=1, -+# is_threshold=False, -+# is_polarized=p, -+# is_time_like=t, -+# n3lo_ad_variation=(0, 0, 0, 0), -+# ) -+# np.testing.assert_allclose(res_ns, res) -+# for label in [(br.non_singlet_pids_map["ns+"], 0), (100, 100)]: -+# for sv in [2, 3]: -+# for polarized in [True, False]: -+# res_sv = quad_ker( -+# u=0, -+# order=(1, 0), -+# mode0=label[0], -+# mode1=label[1], -+# method="", -+# is_log=True, -+# logx=0.123, -+# areas=np.zeros(3), -+# as_list=[2.0, 1.0], -+# mu2_from=1, -+# mu2_to=2, -+# a_half=np.array([[1.5, 0.01]]), -+# alphaem_running=False, -+# nf=3, -+# L=0, -+# ev_op_iterations=0, -+# ev_op_max_order=(1, 0), -+# sv_mode=sv, -+# is_threshold=False, -+# is_polarized=polarized, -+# is_time_like=False, -+# n3lo_ad_variation=(0, 0, 0, 0), -+# ) -+# np.testing.assert_allclose(res_sv, 1.0) -+# for label in [ -+# (100, 100), -+# (21, 21), -+# (22, 22), -+# (101, 101), -+# (10200, 10200), -+# (10204, 10204), -+# (10202, 0), -+# ]: -+# for sv in [2, 3]: -+# res_sv = quad_ker( -+# u=0, -+# order=(1, 1), -+# mode0=label[0], -+# mode1=label[1], -+# method="iterate-exact", -+# is_log=True, -+# logx=0.123, -+# areas=np.zeros(3), -+# as_list=[2.0, 1.0], -+# mu2_from=1, -+# mu2_to=2, -+# a_half=np.array([[1.5, 0.01]]), -+# alphaem_running=False, -+# nf=3, -+# L=0, -+# ev_op_iterations=0, -+# ev_op_max_order=(1, 0), -+# sv_mode=sv, -+# is_threshold=False, -+# n3lo_ad_variation=(0, 0, 0, 0), -+# is_polarized=False, -+# is_time_like=False, -+# ) -+# np.testing.assert_allclose(res_sv, 1.0) - -- monkeypatch.setattr(interpolation, "log_evaluate_Nx", lambda *args: 0) -- res_ns = quad_ker( -- u=0, -- order=(1, 0), -- mode0=br.non_singlet_pids_map["ns+"], -- mode1=0, -- method="", -- is_log=True, -- logx=0.0, -- areas=np.zeros(3), -- as_list=[2.0, 1.0], -- mu2_from=1, -- mu2_to=2, -- a_half=np.array([[1.5, 0.01]]), -- alphaem_running=False, -- nf=3, -- L=0, -- ev_op_iterations=0, -- ev_op_max_order=(0, 0), -- sv_mode=1, -- is_threshold=False, -- n3lo_ad_variation=(0, 0, 0, 0), -- is_polarized=False, -- is_time_like=False, -- ) -- np.testing.assert_allclose(res_ns, 0.0) -+# monkeypatch.setattr(interpolation, "log_evaluate_Nx", lambda *args: 0) -+# res_ns = quad_ker( -+# u=0, -+# order=(1, 0), -+# mode0=br.non_singlet_pids_map["ns+"], -+# mode1=0, -+# method="", -+# is_log=True, -+# logx=0.0, -+# areas=np.zeros(3), -+# as_list=[2.0, 1.0], -+# mu2_from=1, -+# mu2_to=2, -+# a_half=np.array([[1.5, 0.01]]), -+# alphaem_running=False, -+# nf=3, -+# L=0, -+# ev_op_iterations=0, -+# ev_op_max_order=(0, 0), -+# sv_mode=1, -+# is_threshold=False, -+# n3lo_ad_variation=(0, 0, 0, 0), -+# is_polarized=False, -+# is_time_like=False, -+# ) -+# np.testing.assert_allclose(res_ns, 0.0) - - - class FakeCoupling: -@@ -319,30 +317,30 @@ class TestOperator: - o.op_members[(br.non_singlet_pids_map["ns+"], 0)].value, - ) - -- def test_compute_no_skip_sv( -- self, monkeypatch, theory_ffns, operator_card, tmp_path -- ): -- tcard: TheoryCard = theory_ffns(3) -- tcard.xif = 2.0 -- ocard: OperatorCard = operator_card -- ocard.configs.scvar_method = ScaleVariationsMethod.EXPANDED -- r = eko.runner.legacy.Runner(tcard, ocard, path=tmp_path / "eko.tar") -- g = r.op_grid -- # setup objs -- o = Operator(g.config, g.managers, Segment(2.0, 2.0, 3)) -- # fake quad -- v = 0.1234 -- monkeypatch.setattr( -- scipy.integrate, "quad", lambda *args, v=v, **kwargs: (v, 0.56) -- ) -- o.compute() -- lx = len(ocard.xgrid.raw) -- res = np.full((lx, lx), v) -- res[-1, -1] = 1.0 -- # ns are all diagonal, so they start from an identity matrix -- for k in br.non_singlet_labels: -- assert k in o.op_members -- np.testing.assert_allclose(o.op_members[k].value, res, err_msg=k) -+ # def test_compute_no_skip_sv( -+ # self, monkeypatch, theory_ffns, operator_card, tmp_path -+ # ): -+ # tcard: TheoryCard = theory_ffns(3) -+ # tcard.xif = 2.0 -+ # ocard: OperatorCard = operator_card -+ # ocard.configs.scvar_method = ScaleVariationsMethod.EXPANDED -+ # r = eko.runner.legacy.Runner(tcard, ocard, path=tmp_path / "eko.tar") -+ # g = r.op_grid -+ # # setup objs -+ # o = Operator(g.config, g.managers, Segment(2.0, 2.0, 3)) -+ # # fake quad -+ # v = 0.1234 -+ # monkeypatch.setattr( -+ # scipy.integrate, "quad", lambda *args, v=v, **kwargs: (v, 0.56) -+ # ) -+ # o.compute() -+ # lx = len(ocard.xgrid.raw) -+ # res = np.full((lx, lx), v) -+ # res[-1, -1] = 1.0 -+ # # ns are all diagonal, so they start from an identity matrix -+ # for k in br.non_singlet_labels: -+ # assert k in o.op_members -+ # np.testing.assert_allclose(o.op_members[k].value, res, err_msg=k) - - def test_compute(self, monkeypatch, theory_ffns, operator_card, tmp_path): - tcard: TheoryCard = theory_ffns(3) -@@ -395,97 +393,97 @@ class TestOperator: - ) - - --def test_pegasus_path(): -- def quad_ker_pegasus( -- u, order, mode0, method, logx, areas, a1, a0, nf, ev_op_iterations -- ): -- # compute the mellin inversion as done in pegasus -- phi = 3 / 4 * np.pi -- c = 1.9 -- n = complex(c + u * np.exp(1j * phi)) -- gamma_ns = ad.gamma_ns(order, mode0, n, nf) -- ker = ns.dispatcher( -- order, -- method, -- gamma_ns, -- a1, -- a0, -- nf, -- ev_op_iterations, -- ) -- pj = interpolation.log_evaluate_Nx(n, logx, areas) -- return np.imag(np.exp(1j * phi) / np.pi * pj * ker) -+# def test_pegasus_path(): -+# def quad_ker_pegasus( -+# u, order, mode0, method, logx, areas, a1, a0, nf, ev_op_iterations -+# ): -+# # compute the mellin inversion as done in pegasus -+# phi = 3 / 4 * np.pi -+# c = 1.9 -+# n = complex(c + u * np.exp(1j * phi)) -+# gamma_ns = ad.gamma_ns(order, mode0, n, nf) -+# ker = ns.dispatcher( -+# order, -+# method, -+# gamma_ns, -+# a1, -+# a0, -+# nf, -+# ev_op_iterations, -+# ) -+# pj = interpolation.log_evaluate_Nx(n, logx, areas) -+# return np.imag(np.exp(1j * phi) / np.pi * pj * ker) - -- # It might be useful to test with a different function -- # monkeypatch.setattr(ns, "dispatcher", lambda x, *args: np.exp( - x ** 2 ) ) -- xgrid = np.geomspace(1e-7, 1, 10) -- int_disp = InterpolatorDispatcher(xgrid, 1, True) -- order = (2, 0) -- mode0 = br.non_singlet_pids_map["ns+"] -- mode1 = 0 -- method = "" -- logxs = np.log(int_disp.xgrid.raw) -- a1 = 1 -- a0 = 2 -- mu2_from = 1 -- mu2_to = 2**2 -- nf = 3 -- L = 0 -- ev_op_iterations = 10 -- for logx in logxs: -- for bf in int_disp: -- res_ns, _ = scipy.integrate.quad( -- quad_ker, -- 0.5, -- 1.0, -- args=( -- order, -- mode0, -- mode1, -- method, -- int_disp.log, -- logx, -- bf.areas_representation, -- [a0, a1], -- mu2_from, -- mu2_to, -- [[(a1 + a0) / 2, 0.00058]], -- False, -- nf, -- L, -- ev_op_iterations, -- 10, -- 0, -- False, -- (0, 0, 0, 0), -- False, -- False, -- ), -- epsabs=1e-12, -- epsrel=1e-5, -- limit=100, -- full_output=1, -- )[:2] -+# # It might be useful to test with a different function -+# # monkeypatch.setattr(ns, "dispatcher", lambda x, *args: np.exp( - x ** 2 ) ) -+# xgrid = np.geomspace(1e-7, 1, 10) -+# int_disp = InterpolatorDispatcher(xgrid, 1, True) -+# order = (2, 0) -+# mode0 = br.non_singlet_pids_map["ns+"] -+# mode1 = 0 -+# method = "" -+# logxs = np.log(int_disp.xgrid.raw) -+# a1 = 1 -+# a0 = 2 -+# mu2_from = 1 -+# mu2_to = 2**2 -+# nf = 3 -+# L = 0 -+# ev_op_iterations = 10 -+# for logx in logxs: -+# for bf in int_disp: -+# res_ns, _ = scipy.integrate.quad( -+# quad_ker, -+# 0.5, -+# 1.0, -+# args=( -+# order, -+# mode0, -+# mode1, -+# method, -+# int_disp.log, -+# logx, -+# bf.areas_representation, -+# [a0, a1], -+# mu2_from, -+# mu2_to, -+# [[(a1 + a0) / 2, 0.00058]], -+# False, -+# nf, -+# L, -+# ev_op_iterations, -+# 10, -+# 0, -+# False, -+# (0, 0, 0, 0), -+# False, -+# False, -+# ), -+# epsabs=1e-12, -+# epsrel=1e-5, -+# limit=100, -+# full_output=1, -+# )[:2] - -- res_test, _ = scipy.integrate.quad( -- quad_ker_pegasus, -- 0, -- np.inf, -- args=( -- order, -- mode0, -- method, -- logx, -- bf.areas_representation, -- a1, -- a0, -- nf, -- ev_op_iterations, -- ), -- epsabs=1e-12, -- epsrel=1e-5, -- limit=100, -- full_output=1, -- )[:2] -+# res_test, _ = scipy.integrate.quad( -+# quad_ker_pegasus, -+# 0, -+# np.inf, -+# args=( -+# order, -+# mode0, -+# method, -+# logx, -+# bf.areas_representation, -+# a1, -+# a0, -+# nf, -+# ev_op_iterations, -+# ), -+# epsabs=1e-12, -+# epsrel=1e-5, -+# limit=100, -+# full_output=1, -+# )[:2] - -- np.testing.assert_allclose(res_ns, res_test, rtol=2e-6) -+# np.testing.assert_allclose(res_ns, res_test, rtol=2e-6) diff --git a/tests/eko/evolution_operator/test_matching_condition.py b/tests/eko/evolution_operator/test_matching_condition.py index c854fb90c..bb6aeebbc 100644 --- a/tests/eko/evolution_operator/test_matching_condition.py +++ b/tests/eko/evolution_operator/test_matching_condition.py @@ -22,12 +22,6 @@ def mkOME(self): (br.matching_hplus_pid, 21), (200, 200), (br.matching_hminus_pid, 200), - ]: - ome.update({key: mkOM(self.shape)}) - return ome - - def update_intrinsic_OME(self, ome): - for key in [ (br.matching_hplus_pid, br.matching_hplus_pid), (br.matching_hminus_pid, br.matching_hminus_pid), (200, br.matching_hminus_pid), @@ -35,10 +29,11 @@ def update_intrinsic_OME(self, ome): (21, br.matching_hplus_pid), ]: ome.update({key: mkOM(self.shape)}) + return ome def test_split_ad_to_evol_map(self): ome = self.mkOME() - a = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [], False) + a = MatchingCondition.split_ad_to_evol_map(ome, 3, 1) triv_keys = [ "V.V", "T3.T3", @@ -55,6 +50,14 @@ def test_split_ad_to_evol_map(self): "c+.S", "c+.g", # "c-.V", + "S.c+", + "g.c+", + "c+.c+", + "c-.c-", + "b+.b+", + "b-.b-", + "t+.t+", + "t-.t-", ] assert sorted(str(k) for k in a.op_members.keys()) == sorted( [*triv_keys, *keys3] @@ -63,36 +66,8 @@ def test_split_ad_to_evol_map(self): a.op_members[member.MemberName("V.V")].value, ome[(200, 200)].value, ) - # # if alpha is zero, nothing non-trivial should happen - b = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [], False) - assert sorted(str(k) for k in b.op_members.keys()) == sorted( - [*triv_keys, *keys3] - ) - # assert_almost_equal( - # b.op_members[member.MemberName("V.V")].value, - # np.eye(self.shape[0]), - # ) - # nf=3 + IC - self.update_intrinsic_OME(ome) - c = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [4], False) - assert sorted(str(k) for k in c.op_members.keys()) == sorted( - [*triv_keys, *keys3, "S.c+", "g.c+", "c+.c+", "c-.c-"] - ) - assert_almost_equal( - c.op_members[member.MemberName("V.V")].value, - b.op_members[member.MemberName("V.V")].value, - ) - # nf=3 + IB - d = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [5], False) - assert sorted(str(k) for k in d.op_members.keys()) == sorted( - [*triv_keys, *keys3, "b+.b+", "b-.b-"] - ) - assert_almost_equal( - d.op_members[member.MemberName("b+.b+")].value, - np.eye(self.shape[0]), - ) # nf=4 + IB - d = MatchingCondition.split_ad_to_evol_map(ome, 4, 1, [5], False) + d = MatchingCondition.split_ad_to_evol_map(ome, 4, 1) assert sorted(str(k) for k in d.op_members.keys()) == sorted( [ *triv_keys, @@ -106,6 +81,8 @@ def test_split_ad_to_evol_map(self): "b+.b+", # "b-.V", "b-.b-", + "t+.t+", + "t-.t-", ] ) assert_almost_equal( @@ -127,7 +104,7 @@ def test_split_ad_to_evol_map(self): def test_split_ad_to_evol_map_qed(self): ome = self.mkOME() - a = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [], qed=True) + a = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, qed=True) triv_keys = [ "ph.ph", "S.S", @@ -144,7 +121,15 @@ def test_split_ad_to_evol_map_qed(self): keys3 = [ "c+.S", "c+.g", + "S.c+", + "g.c+", + "c+.c+", + "c-.c-", # "c-.V", + "b+.b+", + "b-.b-", + "t+.t+", + "t-.t-", ] assert sorted(str(k) for k in a.op_members.keys()) == sorted( [*triv_keys, *keys3] @@ -153,36 +138,8 @@ def test_split_ad_to_evol_map_qed(self): a.op_members[member.MemberName("V.V")].value, ome[(200, 200)].value, ) - # # if alpha is zero, nothing non-trivial should happen - b = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [], qed=True) - assert sorted(str(k) for k in b.op_members.keys()) == sorted( - [*triv_keys, *keys3] - ) - # assert_almost_equal( - # b.op_members[member.MemberName("V.V")].value, - # np.eye(self.shape[0]), - # ) - # nf=3 + IC - self.update_intrinsic_OME(ome) - c = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [4], qed=True) - assert sorted(str(k) for k in c.op_members.keys()) == sorted( - [*triv_keys, *keys3, "S.c+", "g.c+", "c+.c+", "c-.c-"] - ) - assert_almost_equal( - c.op_members[member.MemberName("V.V")].value, - b.op_members[member.MemberName("V.V")].value, - ) - # nf=3 + IB - d = MatchingCondition.split_ad_to_evol_map(ome, 3, 1, [5], qed=True) - assert sorted(str(k) for k in d.op_members.keys()) == sorted( - [*triv_keys, *keys3, "b+.b+", "b-.b-"] - ) - assert_almost_equal( - d.op_members[member.MemberName("b+.b+")].value, - np.eye(self.shape[0]), - ) # nf=4 + IB - d = MatchingCondition.split_ad_to_evol_map(ome, 4, 1, [5], qed=True) + d = MatchingCondition.split_ad_to_evol_map(ome, 4, 1, qed=True) assert sorted(str(k) for k in d.op_members.keys()) == sorted( [ *triv_keys, @@ -196,6 +153,8 @@ def test_split_ad_to_evol_map_qed(self): "b+.b+", # "b-.V", "b-.b-", + "t+.t+", + "t-.t-", ] ) assert_almost_equal( diff --git a/tests/eko/evolution_operator/test_ome.py b/tests/eko/evolution_operator/test_ome.py index b844290c9..e807a587b 100644 --- a/tests/eko/evolution_operator/test_ome.py +++ b/tests/eko/evolution_operator/test_ome.py @@ -8,6 +8,7 @@ from eko import interpolation, mellin from eko import scale_variations as sv from eko.evolution_operator.operator_matrix_element import ( + MatchingMethods, OperatorMatrixElement, build_ome, quad_ker, @@ -33,7 +34,7 @@ def test_build_ome_as(): aS = A_singlet((o, 0), N, nf, L, is_msbar) for a in [aNS, aS]: - for method in [None, InversionMethod.EXPANDED, InversionMethod.EXACT]: + for method in MatchingMethods: dim = len(a[0]) if o != 1: assert len(a) == o @@ -53,7 +54,7 @@ def test_build_ome_nlo(): aNSi = A_non_singlet((1, 0), N, nf, L) aSi = A_singlet((1, 0), N, nf, L, is_msbar) for a in [aNSi, aSi]: - for method in [None, InversionMethod.EXPANDED, InversionMethod.EXACT]: + for method in MatchingMethods: dim = len(a[0]) # hh assert a[0, -1, -1] != 0.0 @@ -86,7 +87,7 @@ def test_quad_ker_errors(): is_log=True, logx=0.123, areas=[[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]], - backward_method=None, + backward_method=MatchingMethods.FORWARD, a_s=0.0, nf=3, L=0.0, @@ -119,7 +120,7 @@ def test_quad_ker(monkeypatch): is_log=is_log, logx=0.123, areas=np.zeros(3), - backward_method=None, + backward_method=MatchingMethods.FORWARD, a_s=0.0, nf=3, L=0.0, @@ -138,7 +139,7 @@ def test_quad_ker(monkeypatch): is_log=is_log, logx=0.123, areas=np.zeros(3), - backward_method=None, + backward_method=MatchingMethods.FORWARD, a_s=0.0, nf=3, L=0.0, @@ -157,7 +158,7 @@ def test_quad_ker(monkeypatch): is_log=is_log, logx=0.0, areas=np.zeros(3), - backward_method=None, + backward_method=MatchingMethods.FORWARD, a_s=0.0, nf=3, L=0.0, @@ -191,7 +192,7 @@ def test_quad_ker(monkeypatch): is_log=True, logx=0.123, areas=np.zeros(3), - backward_method=InversionMethod.EXPANDED, + backward_method=MatchingMethods.BACKWARD_EXPANDED, a_s=0.0, nf=3, L=0.0, @@ -228,7 +229,7 @@ def test_quad_ker(monkeypatch): is_log=True, logx=0.123, areas=np.zeros(3), - backward_method=InversionMethod.EXACT, + backward_method=MatchingMethods.BACKWARD_EXACT, a_s=0.0, nf=3, L=0.0, @@ -252,7 +253,7 @@ def test_quad_ker(monkeypatch): is_log=True, logx=0.0, areas=np.array([0.01, 0.1, 1.0]), - backward_method=None, + backward_method=MatchingMethods.FORWARD, a_s=0.0, nf=3, L=0.0, @@ -338,6 +339,7 @@ def test_labels(self, theory_ffns, operator_card, tmp_path: pathlib.Path): path = tmp_path / "eko.tar" for skip_singlet in [True, False]: for skip_ns in [True, False]: + operator_card.configs.inversion_method = InversionMethod.EXACT operator_card.debug.skip_singlet = skip_singlet operator_card.debug.skip_non_singlet = skip_ns path.unlink(missing_ok=True) diff --git a/tests/eko/evolution_operator/test_physical.py b/tests/eko/evolution_operator/test_physical.py index e9882de5b..0ba41d91f 100644 --- a/tests/eko/evolution_operator/test_physical.py +++ b/tests/eko/evolution_operator/test_physical.py @@ -221,27 +221,21 @@ def mk_op_members(shape=(2, 2), qed=False): return om -def get_ad_to_evol_map(nf, intrinsic_range=None, qed=False): +def get_ad_to_evol_map(nf, qed=False): oms = mk_op_members(qed=qed) - m = PhysicalOperator.ad_to_evol_map(oms, nf, 1, intrinsic_range, qed) + m = PhysicalOperator.ad_to_evol_map(oms, nf, 1, qed) return sorted(map(str, m.op_members.keys())) def test_ad_to_evol_map(): triv_ops = ("S.S", "S.g", "g.S", "g.g", "V.V", "V3.V3", "T3.T3", "V8.V8", "T8.T8") # nf=3 - assert sorted(triv_ops) == get_ad_to_evol_map(3) - # nf=3 + IC - assert sorted([*triv_ops, "c+.c+", "c-.c-"]) == get_ad_to_evol_map(3, [4]) - # nf=3 + IC + IB assert sorted( - [*triv_ops, "c+.c+", "c-.c-", "b+.b+", "b-.b-"] - ) == get_ad_to_evol_map(3, [4, 5]) - # nf=4 + IC(non-existant) + IB - ks = sorted([*triv_ops, "V15.V15", "T15.T15", "b+.b+", "b-.b-"]) - assert ks == get_ad_to_evol_map(4, [4, 5]) - # nf=4 + IB - assert ks == get_ad_to_evol_map(4, [5]) + [*triv_ops, "c+.c+", "c-.c-", "b+.b+", "b-.b-", "t+.t+", "t-.t-"] + ) == get_ad_to_evol_map(3) + # nf=4 + ks = sorted([*triv_ops, "V15.V15", "T15.T15", "b+.b+", "b-.b-", "t+.t+", "t-.t-"]) + assert ks == get_ad_to_evol_map(4) # nf=6 assert sorted( [*triv_ops, "T15.T15", "V15.V15", "T24.T24", "V24.V24", "T35.T35", "V35.V35"] @@ -274,18 +268,12 @@ def test_ad_to_evol_map_qed(): "Td3.Td3", ) # nf=3 - assert sorted(triv_ops) == get_ad_to_evol_map(3, qed=True) - # nf=3 + IC - assert sorted([*triv_ops, "c+.c+", "c-.c-"]) == get_ad_to_evol_map(3, [4], qed=True) - # nf=3 + IC + IB assert sorted( - [*triv_ops, "c+.c+", "c-.c-", "b+.b+", "b-.b-"] - ) == get_ad_to_evol_map(3, [4, 5], qed=True) - # nf=4 + IC(non-existant) + IB - ks = sorted([*triv_ops, "Vu3.Vu3", "Tu3.Tu3", "b+.b+", "b-.b-"]) - assert ks == get_ad_to_evol_map(4, [4, 5], qed=True) - # nf=4 + IB - assert ks == get_ad_to_evol_map(4, [5], qed=True) + [*triv_ops, "c+.c+", "c-.c-", "b+.b+", "b-.b-", "t+.t+", "t-.t-"] + ) == get_ad_to_evol_map(3, True) + # nf=4 + ks = sorted([*triv_ops, "Vu3.Vu3", "Tu3.Tu3", "b+.b+", "b-.b-", "t+.t+", "t-.t-"]) + assert ks == get_ad_to_evol_map(4, True) # nf=6 assert sorted( [*triv_ops, "Tu3.Tu3", "Vu3.Vu3", "Td8.Td8", "Vd8.Vd8", "Tu8.Tu8", "Vu8.Vu8"] diff --git a/tests/eko/io/test_bases.py b/tests/eko/io/test_bases.py deleted file mode 100644 index a0165243f..000000000 --- a/tests/eko/io/test_bases.py +++ /dev/null @@ -1,83 +0,0 @@ -from dataclasses import fields - -import numpy as np - -from eko import basis_rotation as br -from eko import interpolation -from eko.io.bases import Bases - - -class TestBases: - XGRID_TEST = [1e-3, 1e-2, 1e-1, 1.0] - - def test_serialization(self): - rot = Bases(interpolation.XGrid(self.XGRID_TEST)) - - d = rot.raw - rot1 = rot.from_dict(d) - - for f in fields(Bases): - assert getattr(rot, f.name) == getattr(rot1, f.name) - - assert d["targetgrid"] is None - assert "_targetgrid" not in d - - def test_pids(self): - rot = Bases(interpolation.XGrid(self.XGRID_TEST)) - - # no check on correctness of value set - rot.inputpids = [0, 1] - # but the internal grid is unmodified - assert len(rot.pids) == 14 - # and fallback implemented for unset external bases - assert np.all(rot.targetpids == rot.pids) - - def test_grids(self): - rot = Bases(interpolation.XGrid(self.XGRID_TEST)) - - # no check on correctness of value set - rot.inputgrid = interpolation.XGrid([0.1, 1]) - # but the internal grid is unmodified - assert len(rot.xgrid) == len(self.XGRID_TEST) - # and fallback implemented for unset external grids - assert np.all(rot.targetgrid == rot.xgrid) - - def test_fallback(self): - xg = interpolation.XGrid([0.1, 1.0]) - r = Bases(xgrid=xg) - np.testing.assert_allclose(r.targetpids, r.pids) - np.testing.assert_allclose(r.inputpids, r.pids) - assert r.xgrid == xg - assert r.targetgrid == xg - assert r.inputgrid == xg - - def test_overwrite(self): - tpids = np.array([3, 4] + list(br.flavor_basis_pids[2:])) - ipids = np.array([5, 6] + list(br.flavor_basis_pids[2:])) - xg = interpolation.XGrid([0.1, 1.0]) - txg = interpolation.XGrid([0.2, 1.0]) - ixg = interpolation.XGrid([0.3, 1.0]) - r = Bases( - xgrid=xg, - _targetgrid=txg, - _inputgrid=ixg, - _targetpids=tpids, - _inputpids=ipids, - ) - np.testing.assert_allclose(r.targetpids, tpids) - np.testing.assert_allclose(r.inputpids, ipids) - assert r.xgrid == xg - assert r.targetgrid == txg - assert r.inputgrid == ixg - - def test_init(self): - xg = interpolation.XGrid([0.1, 1.0]) - txg = np.array([0.2, 1.0]) - ixg = {"grid": [0.3, 1.0], "log": True} - r = Bases(xgrid=xg, _targetgrid=txg, _inputgrid=ixg) - assert isinstance(r.xgrid, interpolation.XGrid) - assert isinstance(r.targetgrid, interpolation.XGrid) - assert isinstance(r.inputgrid, interpolation.XGrid) - assert r.xgrid == xg - assert r.targetgrid == interpolation.XGrid(txg) - assert r.inputgrid == interpolation.XGrid.load(ixg) diff --git a/tests/eko/io/test_manipulate.py b/tests/eko/io/test_manipulate.py index 3431d93ce..56ceafc0f 100644 --- a/tests/eko/io/test_manipulate.py +++ b/tests/eko/io/test_manipulate.py @@ -1,5 +1,3 @@ -import pathlib - import numpy as np import pytest @@ -21,235 +19,125 @@ def chk_keys(a, b): class TestManipulate: - def test_xgrid_reshape(self, eko_factory: EKOFactory, tmp_path: pathlib.Path): + def test_xgrid_reshape(self): # create object - muout = 10.0 - mu2out = muout**2 - epout = (mu2out, 5) + interpdeg = 1 xg = interpolation.XGrid(np.geomspace(1e-5, 1.0, 21)) - eko_factory.operator.mugrid = [(muout, 5)] - eko_factory.operator.xgrid = xg - o1 = eko_factory.get() + xgp = interpolation.XGrid(np.geomspace(1e-5, 1.0, 11)) lpids = 2 - o1[epout] = eko.io.Operator( + o1 = eko.io.Operator( operator=eko_identity([1, lpids, len(xg), lpids, len(xg)])[0] ) - xgp = interpolation.XGrid(np.geomspace(1e-5, 1.0, 11)) # only target - otpath = tmp_path / "ot.tar" - o1.deepcopy(otpath) - with EKO.edit(otpath) as ot: - manipulate.xgrid_reshape(ot, xgp) - chk_keys(o1.raw, ot.raw) - assert ot[epout].operator.shape == (lpids, len(xgp), lpids, len(xg)) - ottpath = tmp_path / "ott.tar" - o1.deepcopy(ottpath) - with EKO.edit(ottpath) as ott: - with pytest.warns(Warning): - manipulate.xgrid_reshape(ott, xg) - chk_keys(o1.raw, ott.raw) - np.testing.assert_allclose(ott[epout].operator, o1[epout].operator) + ot = manipulate.xgrid_reshape(o1, xg, interpdeg, xgp) + assert ot.operator.shape == (lpids, len(xgp), lpids, len(xg)) + ott = manipulate.xgrid_reshape(ot, xgp, interpdeg, xg) + # when blowing up again a line 0 ... 0 0 1 0 0 ... 0 becomes + # 0 ... 0 0.5 0 0.5 0 ... 0 instead + np.testing.assert_allclose( + np.sum(ott.operator, axis=3), np.sum(o1.operator, axis=3) + ) # only input - oipath = tmp_path / "oi.tar" - o1.deepcopy(oipath) - with EKO.edit(oipath) as oi: - manipulate.xgrid_reshape(oi, inputgrid=xgp) - assert oi[epout].operator.shape == (lpids, len(xg), lpids, len(xgp)) - chk_keys(o1.raw, oi.raw) - oiipath = tmp_path / "oii.tar" - o1.deepcopy(oiipath) - with EKO.edit(oiipath) as oii: - with pytest.warns(Warning): - manipulate.xgrid_reshape(oii, inputgrid=xg) - chk_keys(o1.raw, oii.raw) - np.testing.assert_allclose(oii[epout].operator, o1[epout].operator) + oi = manipulate.xgrid_reshape(o1, xg, interpdeg, inputgrid=xgp) + assert oi.operator.shape == (lpids, len(xg), lpids, len(xgp)) + oii = manipulate.xgrid_reshape(oi, xgp, interpdeg, inputgrid=xg) + np.testing.assert_allclose( + np.sum(oii.operator, axis=3), np.sum(o1.operator, axis=3) + ) + with pytest.warns(Warning): + oiii = manipulate.xgrid_reshape(oii, xg, interpdeg, inputgrid=xg) + np.testing.assert_allclose(oiii.operator, oii.operator) # both - oitpath = tmp_path / "oit.tar" - o1.deepcopy(oitpath) - with EKO.edit(oitpath) as oit: - manipulate.xgrid_reshape(oit, xgp, xgp) - chk_keys(o1.raw, oit.raw) - op = eko_identity([1, 2, len(xgp), 2, len(xgp)]) - np.testing.assert_allclose(oit[epout].operator, op[0], atol=1e-10) - + oit = manipulate.xgrid_reshape(o1, xg, interpdeg, xgp, xgp) + op = eko_identity([1, 2, len(xgp), 2, len(xgp)]) + np.testing.assert_allclose(oit.operator, op[0], atol=1e-10) # op error handling - ep2 = (25, 5) - o1[ep2] = eko.io.Operator( + o1e = eko.io.Operator( operator=eko_identity([1, lpids, len(xg), lpids, len(xg)])[0], error=0.1 * eko_identity([1, lpids, len(xg), lpids, len(xg)])[0], ) - ot2path = tmp_path / "ot2.tar" - o1.deepcopy(ot2path) - with EKO.edit(ot2path) as ot2: - manipulate.xgrid_reshape(ot2, xgp) - chk_keys(o1.raw, ot2.raw) - assert ot2[ep2].operator.shape == (lpids, len(xgp), lpids, len(xg)) - assert ot2[epout].error is None - assert ot2[ep2].error is not None + assert ot.error is None + assert oi.error is None + ot2 = manipulate.xgrid_reshape(o1e, xg, interpdeg, xgp) + assert ot2.error is not None # Python error - with pytest.raises(ValueError): - manipulate.xgrid_reshape(o1) + with pytest.raises(ValueError, match="Nor inputgrid nor targetgrid"): + manipulate.xgrid_reshape(o1, xg, interpdeg) - def test_reshape_io(self, eko_factory: EKOFactory, tmp_path): - eko_factory.path = tmp_path / "eko.tar" - eko_factory.operator.configs.interpolation_polynomial_degree = 1 - # create object - o1 = eko_factory.get() - lpids = len(o1.bases.pids) - path_copy = tmp_path / "eko_copy.tar" - o1.deepcopy(path_copy) - newxgrid = interpolation.XGrid([0.1, 1.0]) - inputpids = np.eye(lpids) - inputpids[:2, :2] = np.array([[1, -1], [1, 1]]) - with EKO.edit(path_copy) as o2: - manipulate.xgrid_reshape(o2, newxgrid, newxgrid) - manipulate.flavor_reshape(o2, inputpids=inputpids) - # reload - with EKO.read(path_copy) as o3: - chk_keys(o1.raw, o3.raw) - np.testing.assert_allclose(o3.bases.inputgrid.raw, newxgrid.raw) - np.testing.assert_allclose(o3.bases.targetgrid.raw, newxgrid.raw) - # since we use a general rotation, the inputpids are erased, - # leaving just as many zeros as PIDs, as placeholders for missing - # values - np.testing.assert_allclose(o3.bases.inputpids, [0] * len(o3.bases.pids)) - # these has to be unchanged - np.testing.assert_allclose(o3.bases.targetpids, o3.bases.pids) - - def test_flavor_reshape(self, eko_factory: EKOFactory, tmp_path: pathlib.Path): + def test_flavor_reshape(self): # create object xg = interpolation.XGrid(np.geomspace(1e-5, 1.0, 21)) - muout = 10.0 - mu2out = muout**2 - epout = (mu2out, 5) - eko_factory.operator.xgrid = xg - eko_factory.operator.mugrid = [(muout, 5)] - o1 = eko_factory.get() - lpids = len(o1.bases.pids) + lpids = len(br.flavor_basis_pids) lx = len(xg) - o1[epout] = eko.io.Operator( + o1 = eko.io.Operator( operator=eko_identity([1, lpids, lx, lpids, lx])[0], error=None, ) - # only target - target_r = np.eye(lpids) - target_r[:2, :2] = np.array([[1, -1], [1, 1]]) - tpath = tmp_path / "ot.tar" - ttpath = tmp_path / "ott.tar" - o1.deepcopy(tpath) - with EKO.edit(tpath) as ot: - manipulate.flavor_reshape(ot, target_r) - chk_keys(o1.raw, ot.raw) - assert ot[epout].operator.shape == (lpids, len(xg), lpids, len(xg)) - ot.deepcopy(ttpath) - with EKO.edit(ttpath) as ott: - manipulate.flavor_reshape(ott, np.linalg.inv(target_r)) - np.testing.assert_allclose(ott[epout].operator, o1[epout].operator) - with pytest.warns(Warning): - manipulate.flavor_reshape(ott, np.eye(lpids)) - chk_keys(o1.raw, ott.raw) - np.testing.assert_allclose(ott[epout].operator, o1[epout].operator) # only input input_r = np.eye(lpids) input_r[:2, :2] = np.array([[1, -1], [1, 1]]) - ipath = tmp_path / "oi.tar" - iipath = tmp_path / "oii.tar" - o1.deepcopy(ipath) - with EKO.edit(ipath) as oi: - manipulate.flavor_reshape(oi, inputpids=input_r) - chk_keys(o1.raw, oi.raw) - assert oi[epout].operator.shape == (lpids, len(xg), lpids, len(xg)) - oi.deepcopy(iipath) - with EKO.edit(iipath) as oii: - manipulate.flavor_reshape(oii, inputpids=np.linalg.inv(input_r)) - np.testing.assert_allclose(oii[epout].operator, o1[epout].operator) - with pytest.warns(Warning): - manipulate.flavor_reshape(oii, inputpids=np.eye(lpids)) - chk_keys(o1.raw, oii.raw) - np.testing.assert_allclose(oii[epout].operator, o1[epout].operator) + oi = manipulate.flavor_reshape(o1, inputpids=input_r) + assert oi.operator.shape == (lpids, len(xg), lpids, len(xg)) + oii = manipulate.flavor_reshape(oi, inputpids=np.linalg.inv(input_r)) + np.testing.assert_allclose(oii.operator, o1.operator) + with pytest.warns(Warning): + oiii = manipulate.flavor_reshape(oii, inputpids=np.eye(lpids)) + np.testing.assert_allclose(oiii.operator, oii.operator) + + # only target + target_r = np.eye(lpids) + target_r[:2, :2] = np.array([[1, -1], [1, 1]]) + ot = manipulate.flavor_reshape(o1, target_r) + assert ot.operator.shape == (lpids, len(xg), lpids, len(xg)) + ott = manipulate.flavor_reshape(ot, np.linalg.inv(target_r)) + np.testing.assert_allclose(ott.operator, o1.operator) + with pytest.warns(Warning): + ottt = manipulate.flavor_reshape(ott, np.eye(lpids)) + np.testing.assert_allclose(ottt.operator, ott.operator) # both - itpath = tmp_path / "oit.tar" - o1.deepcopy(itpath) - with EKO.edit(itpath) as oit: - manipulate.flavor_reshape(oit, target_r, input_r) - chk_keys(o1.raw, oit.raw) - op = eko_identity([1, lpids, len(xg), lpids, len(xg)]).copy() - np.testing.assert_allclose(oit[epout].operator, op[0], atol=1e-10) + oit = manipulate.flavor_reshape(o1, target_r, input_r) + op = eko_identity([1, lpids, len(xg), lpids, len(xg)]).copy() + np.testing.assert_allclose(oit.operator, op[0], atol=1e-10) # error - fpath = tmp_path / "fail.tar" - o1.deepcopy(fpath) - with pytest.raises(ValueError): - with EKO.edit(fpath) as of: - manipulate.flavor_reshape(of) + with pytest.raises(ValueError, match="Nor inputpids nor targetpids"): + manipulate.flavor_reshape(o1) - def test_to_evol(self, eko_factory: EKOFactory, tmp_path): + def test_to_evol(self): self._test_to_all_evol( - eko_factory, - tmp_path, manipulate.to_evol, br.rotate_flavor_to_evolution, - br.flavor_basis_pids, ) - def test_to_uni_evol(self, eko_factory: EKOFactory, tmp_path): + def test_to_uni_evol(self): self._test_to_all_evol( - eko_factory, - tmp_path, manipulate.to_uni_evol, br.rotate_flavor_to_unified_evolution, - br.flavor_basis_pids, ) - def _test_to_all_evol( - self, eko_factory: EKOFactory, tmp_path, to_evol_fnc, rot_matrix, pids - ): - xgrid = interpolation.XGrid([0.5, 1.0]) - mu_out = 2.0 - mu2_out = mu_out**2 - nfout = 4 - epout = (mu2_out, nfout) - eko_factory.operator.mu0 = float(np.sqrt(1.0)) - eko_factory.operator.mugrid = [(mu_out, nfout)] - eko_factory.operator.xgrid = xgrid - eko_factory.operator.configs.interpolation_polynomial_degree = 1 - eko_factory.operator.configs.interpolation_is_log = False - eko_factory.operator.configs.ev_op_max_order = (2, 0) - eko_factory.operator.configs.ev_op_iterations = 1 - eko_factory.operator.configs.inversion_method = runcards.InversionMethod.EXACT - o00 = eko_factory.get() - o01_path = tmp_path / "o01.tar" - o00.deepcopy(o01_path) - with EKO.edit(o01_path) as o01: - to_evol_fnc(o01) - o10_path = tmp_path / "o10.tar" - o00.deepcopy(o10_path) - with EKO.edit(o10_path) as o10: - to_evol_fnc(o10, False, True) - o11_path = tmp_path / "o11.tar" - o00.deepcopy(o11_path) - with EKO.edit(o11_path) as o11: - to_evol_fnc(o11, True, True) - chk_keys(o00.raw, o11.raw) - - with EKO.edit(o01_path) as o01: - with EKO.edit(o10_path) as o10: - with EKO.read(o11_path) as o11: - # check the input rotated one - np.testing.assert_allclose(o01.bases.inputpids, rot_matrix) - np.testing.assert_allclose(o01.bases.targetpids, pids) - # rotate also target - to_evol_fnc(o01, False, True) - np.testing.assert_allclose(o01[epout].operator, o11[epout].operator) - chk_keys(o00.raw, o01.raw) - # check the target rotated one - np.testing.assert_allclose(o10.bases.inputpids, pids) - np.testing.assert_allclose(o10.bases.targetpids, rot_matrix) - # rotate also input - to_evol_fnc(o10) - np.testing.assert_allclose(o10[epout].operator, o11[epout].operator) - chk_keys(o00.raw, o10.raw) + def _test_to_all_evol(self, to_evol_fnc, rot_matrix): + # create object + xg = interpolation.XGrid(np.geomspace(1e-5, 1.0, 21)) + lpids = len(br.flavor_basis_pids) + lx = len(xg) + o = eko.io.Operator( + operator=eko_identity([1, lpids, lx, lpids, lx])[0], + error=None, + ) + + # do it once + o01 = to_evol_fnc(o, True, False) + o10 = to_evol_fnc(o, False, True) + o11 = to_evol_fnc(o, True, True) + + # do also the other one + np.testing.assert_allclose( + to_evol_fnc(o01, False, True).operator, o11.operator, atol=1e-15 + ) + np.testing.assert_allclose( + to_evol_fnc(o10, True, False).operator, o11.operator, atol=1e-15 + ) diff --git a/tests/eko/io/test_metadata.py b/tests/eko/io/test_metadata.py index a5651e0c8..fcfa8dd09 100644 --- a/tests/eko/io/test_metadata.py +++ b/tests/eko/io/test_metadata.py @@ -3,11 +3,11 @@ import pytest import yaml -from eko.io import bases, metadata, paths +from eko.io import metadata, paths def test_metadata(tmp_path, caplog): - m = metadata.Metadata((1.0, 3), bases.Bases([0.1, 1.0])) + m = metadata.Metadata(origin=(1.0, 3), xgrid=[0.1, 1.0]) # errors with caplog.at_level(logging.INFO): m.update() @@ -26,7 +26,7 @@ def test_metadata(tmp_path, caplog): m.version = "0.0.0-a1~really1.0.0" m.update() # if I read back the thing should be what I set - mn = metadata.Metadata((1.0, 3), bases.Bases([0.1, 1.0])) + mn = metadata.Metadata(origin=(1.0, 3), xgrid=[0.1, 1.0]) mm = metadata.Metadata.load(tmp_path) assert m.path == tmp_path assert mm.version != mn.version diff --git a/tests/eko/io/test_runcards.py b/tests/eko/io/test_runcards.py index 6af37edcb..4fe9a8e4b 100644 --- a/tests/eko/io/test_runcards.py +++ b/tests/eko/io/test_runcards.py @@ -1,14 +1,10 @@ -import copy from io import StringIO import numpy as np import pytest import yaml -from banana.data.theories import default_card as theory_card from eko.io import runcards as rc -from eko.io.bases import Bases -from ekomark.data.operators import default_card as operator_card def test_flavored_mu2grid(): @@ -31,48 +27,6 @@ def test_flavored_mu2grid(): assert t == tuple(l) -def test_runcards_opcard(): - # check conversion - tc = copy.deepcopy(theory_card) - oc = copy.deepcopy(operator_card) - tc["Q0"] = 2.0 - # mugrid - oc["mugrid"] = [2.0, 10.0] - _nt, no = rc.update(tc, oc) - assert isinstance(no, rc.OperatorCard) - assert len(no.evolgrid) == len(oc["mugrid"]) - assert len(no.mu2grid) == len(no.evolgrid) - assert no.evolgrid[0][-1] == 4 - assert no.evolgrid[1][-1] == 5 - np.testing.assert_allclose(no.mu0, tc["Q0"]) - np.testing.assert_allclose(no.mu20, tc["Q0"] ** 2.0) - assert len(no.pids) == 14 - check_dumpable(no) - del oc["mugrid"] - # or mu2grid - oc["mu2grid"] = [9.0, 30.0, 32.0] - _nt, no = rc.update(tc, oc) - assert isinstance(no, rc.OperatorCard) - assert len(no.evolgrid) == len(oc["mu2grid"]) - assert len(no.mu2grid) == len(no.evolgrid) - assert no.evolgrid[0][-1] == 4 - assert no.evolgrid[1][-1] == 5 - assert no.evolgrid[2][-1] == 5 - check_dumpable(no) - del oc["mu2grid"] - # or Q2grid - oc["Q2grid"] = [15.0, 130.0, 140.0, 1e5] - _nt, no = rc.update(tc, oc) - assert isinstance(no, rc.OperatorCard) - assert len(no.evolgrid) == len(oc["Q2grid"]) - assert len(no.mu2grid) == len(no.evolgrid) - assert no.evolgrid[0][-1] == 4 - assert no.evolgrid[1][-1] == 5 - assert no.evolgrid[2][-1] == 5 - assert no.evolgrid[3][-1] == 6 - check_dumpable(no) - - def check_dumpable(no): """Check we can write and read to yaml.""" so = StringIO() @@ -81,50 +35,6 @@ def check_dumpable(no): noo = yaml.safe_load(so) -def test_runcards_ekomark(): - # check conversion - tc = copy.deepcopy(theory_card) - oc = copy.deepcopy(operator_card) - nt, no = rc.update(tc, oc) - assert isinstance(nt, rc.TheoryCard) - assert isinstance(no, rc.OperatorCard) - # check is idempotent - nnt, nno = rc.update(nt, no) - assert nnt == nt - assert nno == no - - -def test_runcards_quarkmass(): - tc = copy.deepcopy(theory_card) - tc["nfref"] = 5 - tc["IC"] = 1 - oc = copy.deepcopy(operator_card) - nt, no = rc.update(tc, oc) - assert nt.heavy.intrinsic_flavors == [4] - for _, scale in nt.heavy.masses: - assert np.isnan(scale) - m2s = rc.masses(nt, no.configs.evolution_method) - raw = rc.Legacy.heavies("m%s", tc) - raw2 = np.power(raw, 2.0) - np.testing.assert_allclose(m2s, raw2) - tc["HQ"] = "MSBAR" - tc["Qmc"] = raw[0] * 1.1 - tc["Qmb"] = raw[1] * 1.1 - tc["Qmt"] = raw[2] * 0.9 - nt, no = rc.update(tc, oc) - for _, scale in nt.heavy.masses: - assert not np.isnan(scale) - m2s = rc.masses(nt, no.configs.evolution_method) - for m1, m2 in zip(m2s, raw2): - assert not np.isclose(m1, m2) - tc["HQ"] = "Blub" - with pytest.raises(ValueError, match="mass scheme"): - _nt, _no = rc.update(tc, oc) - nt.heavy.masses_scheme = "Bla" - with pytest.raises(ValueError, match="mass scheme"): - _ms = rc.masses(nt, no.configs.evolution_method) - - def test_legacy_fallback(): assert rc.Legacy.fallback(1, 2, 3) == 1 assert rc.Legacy.fallback(None, 2, 3) == 2 diff --git a/tests/eko/kernels/test_init.py b/tests/eko/kernels/test_init.py new file mode 100644 index 000000000..3717de275 --- /dev/null +++ b/tests/eko/kernels/test_init.py @@ -0,0 +1,21 @@ +from eko.io.types import EvolutionMethod +from eko.kernels import EvoMethods, ev_method + + +def test_ev_method(): + methods = { + "iterate-expanded": EvoMethods.ITERATE_EXPANDED, + "decompose-expanded": EvoMethods.DECOMPOSE_EXPANDED, + "perturbative-expanded": EvoMethods.PERTURBATIVE_EXPANDED, + "truncated": EvoMethods.TRUNCATED, + "ordered-truncated": EvoMethods.ORDERED_TRUNCATED, + "iterate-exact": EvoMethods.ITERATE_EXACT, + "decompose-exact": EvoMethods.DECOMPOSE_EXACT, + "perturbative-exact": EvoMethods.PERTURBATIVE_EXACT, + } + assert len(methods.keys()) == len(EvolutionMethod) + assert len(methods.keys()) == len(EvoMethods) + for s, i in methods.items(): + j = ev_method(EvolutionMethod(s)) + assert j == i + assert isinstance(j, int) diff --git a/tests/eko/kernels/test_kernels_QEDns.py b/tests/eko/kernels/test_kernels_QEDns.py index bb18c3e17..bfa655a81 100644 --- a/tests/eko/kernels/test_kernels_QEDns.py +++ b/tests/eko/kernels/test_kernels_QEDns.py @@ -3,6 +3,7 @@ from eko import basis_rotation as br from eko.couplings import Couplings +from eko.kernels import EvoMethods from eko.kernels import non_singlet_qed as ns from eko.quantities.couplings import CouplingEvolutionMethod, CouplingsInfo from eko.quantities.heavy_quarks import QuarkMassScheme @@ -14,7 +15,7 @@ # "perturbative-expanded", # "truncated", # "ordered-truncated", - "iterate-exact", + EvoMethods.ITERATE_EXACT, # "decompose-exact", # "perturbative-exact", ] @@ -119,9 +120,7 @@ def test_zero_true_gamma(): dict( alphas=alpharef[0], alphaem=alpharef[1], - scale=muref, - num_flavs_ref=5, - max_num_flavs=6, + ref=(muref, 5), ) ) evmod = CouplingEvolutionMethod.EXACT diff --git a/tests/eko/kernels/test_kernels_QEDsinglet.py b/tests/eko/kernels/test_kernels_QEDsinglet.py index b953c053c..2fee4e17f 100644 --- a/tests/eko/kernels/test_kernels_QEDsinglet.py +++ b/tests/eko/kernels/test_kernels_QEDsinglet.py @@ -1,6 +1,7 @@ import numpy as np import pytest +from eko.kernels import EvoMethods from eko.kernels import singlet_qed as s from ekore.anomalous_dimensions.unpolarized import space_like as ad @@ -10,7 +11,7 @@ # "perturbative-expanded", # "truncated", # "ordered-truncated", - "iterate-exact", + EvoMethods.ITERATE_EXACT, # "decompose-exact", # "perturbative-exact", ] @@ -125,5 +126,12 @@ def test_zero_true_gamma(monkeypatch): def test_error(): with pytest.raises(NotImplementedError): s.dispatcher( - (3, 2), "AAA", np.random.rand(4, 3, 2, 2), [0.2, 0.1], [0.01], 3, 10, 10 + (3, 2), + "iterate-exact", + np.random.rand(4, 3, 2, 2), + [0.2, 0.1], + [0.01], + 3, + 10, + 10, ) diff --git a/tests/eko/kernels/test_kernels_QEDvalence.py b/tests/eko/kernels/test_kernels_QEDvalence.py index 29f0f3d7a..4b12a492b 100644 --- a/tests/eko/kernels/test_kernels_QEDvalence.py +++ b/tests/eko/kernels/test_kernels_QEDvalence.py @@ -1,6 +1,7 @@ import numpy as np import pytest +from eko.kernels import EvoMethods from eko.kernels import valence_qed as val from ekore import anomalous_dimensions @@ -10,13 +11,13 @@ # "perturbative-expanded", # "truncated", # "ordered-truncated", - "iterate-exact", + EvoMethods.ITERATE_EXACT, # "decompose-exact", # "perturbative-exact", ] -def test_zero(monkeypatch): +def test_zero(): """No evolution results in exp(0)""" nf = 3 ev_op_iterations = 2 @@ -57,7 +58,7 @@ def test_zero(monkeypatch): ) -def test_zero_true_gamma(monkeypatch): +def test_zero_true_gamma(): """No evolution results in exp(0)""" nf = 3 ev_op_iterations = 2 @@ -101,5 +102,12 @@ def test_zero_true_gamma(monkeypatch): def test_error(): with pytest.raises(NotImplementedError): val.dispatcher( - (3, 2), "AAA", np.random.rand(4, 3, 2, 2), [0.2, 0.1], [0.01], 3, 10, 10 + (3, 2), + "iterate-exact", + np.random.rand(4, 3, 2, 2), + [0.2, 0.1], + [0.01], + 3, + 10, + 10, ) diff --git a/tests/eko/kernels/test_ns.py b/tests/eko/kernels/test_ns.py index 86abef4bf..70e7faf8d 100644 --- a/tests/eko/kernels/test_ns.py +++ b/tests/eko/kernels/test_ns.py @@ -5,19 +5,9 @@ import ekore.anomalous_dimensions.unpolarized.space_like as ad from eko import beta +from eko.kernels import EvoMethods from eko.kernels import non_singlet as ns -methods = [ - "iterate-expanded", - "decompose-expanded", - "perturbative-expanded", - "truncated", - "ordered-truncated", - "iterate-exact", - "decompose-exact", - "perturbative-exact", -] - def test_zero(): """No evolution results in exp(0)""" @@ -25,7 +15,7 @@ def test_zero(): ev_op_iterations = 2 gamma_ns = np.array([1 + 0.0j, 1 + 0j, 1 + 0j, 1 + 0j]) for order in [1, 2, 3, 4]: - for method in methods: + for method in EvoMethods: np.testing.assert_allclose( ns.dispatcher( (order, 0), method, gamma_ns, 1.0, 1.0, nf, ev_op_iterations @@ -54,7 +44,7 @@ def test_ode_lo(): a0 = 0.3 for a1 in [0.1, 0.2]: r = a1 * gamma_ns / (beta.beta_qcd((2, 0), nf) * a1**2) - for method in methods: + for method in EvoMethods: rhs = r * ns.dispatcher( (1, 0), method, gamma_ns, a1, a0, nf, ev_op_iterations ) @@ -91,7 +81,7 @@ def test_ode_nlo(): r = (a1 * gamma_ns[0] + a1**2 * gamma_ns[1]) / ( beta.beta_qcd((2, 0), nf) * a1**2 + beta.beta_qcd((3, 0), nf) * a1**3 ) - for method in ["iterate-exact"]: + for method in [EvoMethods.ITERATE_EXACT]: rhs = r * ns.dispatcher( (2, 0), method, gamma_ns, a1, a0, nf, ev_op_iterations ) @@ -130,7 +120,7 @@ def test_ode_nnlo(): + beta.beta_qcd((3, 0), nf) * a1**2 + beta.beta_qcd((4, 0), nf) * a1**3 ) - for method in ["iterate-exact"]: + for method in [EvoMethods.ITERATE_EXACT]: rhs = r * ns.dispatcher( (3, 0), method, gamma_ns, a1, a0, nf, ev_op_iterations ) @@ -165,17 +155,14 @@ def test_ode_n3lo(): a0 = 0.3 for a1 in [0.1, 0.2]: r = ( - gamma_ns[0] - + a1 * gamma_ns[1] - + a1**2 * gamma_ns[2] - + a1**3 * gamma_ns[3] + gamma_ns[0] + a1 * gamma_ns[1] + a1**2 * gamma_ns[2] + a1**3 * gamma_ns[3] ) / ( beta.beta_qcd((2, 0), nf) * a1 + beta.beta_qcd((3, 0), nf) * a1**2 + beta.beta_qcd((4, 0), nf) * a1**3 + beta.beta_qcd((5, 0), nf) * a1**4 ) - for method in ["iterate-exact"]: + for method in [EvoMethods.ITERATE_EXACT]: rhs = r * ns.dispatcher( (4, 0), method, gamma_ns, a1, a0, nf, ev_op_iterations ) @@ -205,7 +192,9 @@ def test_ode_n3lo(): def test_error(monkeypatch): monkeypatch.setattr("eko.beta.beta_qcd", lambda *_args: 1.0) with pytest.raises(NotImplementedError, match="order is not implemented"): - ns.dispatcher((5, 0), "iterate-exact", np.random.rand(3) + 0j, 0.2, 0.1, 3, 10) + ns.dispatcher( + (5, 0), EvoMethods.ITERATE_EXACT, np.random.rand(3) + 0j, 0.2, 0.1, 3, 10 + ) with pytest.raises(NotImplementedError): ad.gamma_ns((2, 0), 10202, 1, (0, 0, 0, 0, 0, 0, 0), 3) @@ -219,7 +208,7 @@ def test_gamma_usage(): gamma_ns = np.full(4, np.nan) for order in range(1, 5): gamma_ns[order - 1] = np.random.rand() - for method in methods: + for method in EvoMethods: r = ns.dispatcher( (order, 0), method, gamma_ns, a1, a0, nf, ev_op_iterations ) @@ -228,8 +217,8 @@ def test_gamma_usage(): for order in range(1, 5): gamma_ns = np.random.rand(order) gamma_ns[order - 1] = np.nan - for method in methods: - if method == "ordered-truncated": + for method in EvoMethods: + if method is EvoMethods.ORDERED_TRUNCATED: # we are actually dividing by a np.nan, # since the sum of U vec is nan warnings.simplefilter("ignore", RuntimeWarning) diff --git a/tests/eko/kernels/test_s.py b/tests/eko/kernels/test_s.py index 5380ba319..ff4fdfc0d 100644 --- a/tests/eko/kernels/test_s.py +++ b/tests/eko/kernels/test_s.py @@ -3,20 +3,10 @@ import numpy as np import pytest +from eko.kernels import EvoMethods from eko.kernels import singlet as s from ekore import anomalous_dimensions as ad -methods = [ - "iterate-expanded", - "decompose-expanded", - "perturbative-expanded", - "truncated", - "ordered-truncated", - "iterate-exact", - "decompose-exact", - "perturbative-exact", -] - def test_zero_lo(monkeypatch): """No evolution results in exp(0)""" @@ -35,7 +25,7 @@ def test_zero_lo(monkeypatch): np.array([[0, 0], [0, 1]]), ), ) - for method in methods: + for method in EvoMethods: np.testing.assert_allclose( s.dispatcher( (1, 0), method, gamma_s, 1, 1, nf, ev_op_iterations, ev_op_max_order @@ -75,8 +65,8 @@ def test_zero_nlo_decompose(monkeypatch): ), ) for method in [ - "decompose-expanded", - "decompose-exact", + EvoMethods.DECOMPOSE_EXPANDED, + EvoMethods.DECOMPOSE_EXACT, ]: np.testing.assert_allclose( s.dispatcher( @@ -117,8 +107,8 @@ def test_zero_nnlo_decompose(monkeypatch): ), ) for method in [ - "decompose-expanded", - "decompose-exact", + EvoMethods.DECOMPOSE_EXPANDED, + EvoMethods.DECOMPOSE_EXACT, ]: np.testing.assert_allclose( s.dispatcher( @@ -159,8 +149,8 @@ def test_zero_n3lo_decompose(monkeypatch): ), ) for method in [ - "decompose-expanded", - "decompose-exact", + EvoMethods.DECOMPOSE_EXPANDED, + EvoMethods.DECOMPOSE_EXACT, ]: np.testing.assert_allclose( s.dispatcher( @@ -200,7 +190,7 @@ def test_similarity(): ]: ref = s.dispatcher( order, - "decompose-exact", + EvoMethods.DECOMPOSE_EXACT, gamma_s, a1, a0, @@ -208,7 +198,7 @@ def test_similarity(): ev_op_iterations, ev_op_max_order, ) - for method in methods: + for method in EvoMethods: np.testing.assert_allclose( s.dispatcher( order, @@ -227,7 +217,9 @@ def test_similarity(): def test_error(): with pytest.raises(NotImplementedError): - s.dispatcher((4, 0), "AAA", np.random.rand(3, 2, 2), 0.2, 0.1, 3, 10, 10) + s.dispatcher( + (4, 0), "iterate-exact", np.random.rand(3, 2, 2), 0.2, 0.1, 3, 10, 10 + ) def mk_almost_diag_matrix(n, max_ang=np.pi / 8.0): @@ -247,7 +239,7 @@ def test_gamma_usage(): gamma_s = np.full((4, 2, 2), np.nan) for order in range(1, 5): gamma_s[order - 1] = mk_almost_diag_matrix(1) - for method in methods: + for method in EvoMethods: r = s.dispatcher( (order, 0), method, @@ -263,8 +255,8 @@ def test_gamma_usage(): for order in range(1, 5): gamma_s = mk_almost_diag_matrix(4) gamma_s[order - 1] = np.full((2, 2), np.nan) - for method in methods: - if "iterate" in method: + for method in EvoMethods: + if method in [EvoMethods.ITERATE_EXACT, EvoMethods.ITERATE_EXPANDED]: # we are actually dividing by the determinant of # matrix full of np.nan warnings.simplefilter("ignore", RuntimeWarning) @@ -287,8 +279,8 @@ def test_singlet_back(): nf = 4 a1 = 3.0 a0 = 4.0 - s10 = s.dispatcher(order, "iterate-exact", gamma_s, a1, a0, nf, 15, 1) + s10 = s.dispatcher(order, EvoMethods.ITERATE_EXACT, gamma_s, a1, a0, nf, 15, 1) np.testing.assert_allclose( np.linalg.inv(s10), - s.dispatcher(order, "iterate-exact", gamma_s, a0, a1, nf, 15, 1), + s.dispatcher(order, EvoMethods.ITERATE_EXACT, gamma_s, a0, a1, nf, 15, 1), ) diff --git a/tests/eko/kernels/test_utils.py b/tests/eko/kernels/test_utils.py deleted file mode 100644 index 5cb33e23d..000000000 --- a/tests/eko/kernels/test_utils.py +++ /dev/null @@ -1,12 +0,0 @@ -import numpy as np - -from eko.kernels import utils - - -def test_geomspace(): - for start in [1, 2]: - for end in [3, 4]: - for n in [5, 10]: - np.testing.assert_allclose( - utils.geomspace(start, end, n), np.geomspace(start, end, n) - ) diff --git a/tests/eko/quantities/test_couplings.py b/tests/eko/quantities/test_couplings.py index 0a3b97415..e4d194d5b 100644 --- a/tests/eko/quantities/test_couplings.py +++ b/tests/eko/quantities/test_couplings.py @@ -3,7 +3,7 @@ def test_couplings_ref(): scale = 90.0 - d = dict(alphas=0.1, alphaem=0.01, scale=scale, max_num_flavs=6, num_flavs_ref=None) + d = dict(alphas=0.1, alphaem=0.01, ref=(scale, 5)) couplings = CouplingsInfo.from_dict(d) - assert couplings.scale == scale + assert couplings.ref[0] == scale assert not couplings.em_running diff --git a/tests/eko/runner/__init__.py b/tests/eko/runner/__init__.py index c8ec5b854..0e3ea68c0 100644 --- a/tests/eko/runner/__init__.py +++ b/tests/eko/runner/__init__.py @@ -1,19 +1,21 @@ import numpy as np +from eko import basis_rotation as br + def check_shapes(o, txs, ixs, theory_card, operators_card): - tpids = len(o.bases.targetpids) - ipids = len(o.bases.inputpids) + tpids = len(br.flavor_basis_pids) + ipids = len(br.flavor_basis_pids) op_shape = (tpids, len(txs), ipids, len(ixs)) # check output = input np.testing.assert_allclose(o.xgrid.raw, operators_card.xgrid.raw) # targetgrid and inputgrid in the opcard are now ignored, we are testing this np.testing.assert_allclose( - o.bases.targetgrid.raw, + o.xgrid.raw, txs.raw, ) - np.testing.assert_allclose(o.bases.inputgrid.raw, ixs.raw) + np.testing.assert_allclose(o.xgrid.raw, ixs.raw) np.testing.assert_allclose(o.mu20, operators_card.mu20) # check available operators ~o.operators diff --git a/tests/eko/runner/conftest.py b/tests/eko/runner/conftest.py index 6c513e3eb..3b3bac0b3 100644 --- a/tests/eko/runner/conftest.py +++ b/tests/eko/runner/conftest.py @@ -4,6 +4,7 @@ import pytest from eko import EKO +from eko import basis_rotation as br from eko.io.items import Operator from eko.io.runcards import OperatorCard, TheoryCard from eko.runner import commons, recipes @@ -21,7 +22,7 @@ def neweko(theory_card: TheoryCard, operator_card: OperatorCard, tmp_path: Path) @pytest.fixture def identity(neweko: EKO): xs = len(neweko.xgrid.raw) - flavs = len(neweko.bases.pids) + flavs = len(br.flavor_basis_pids) return Operator(operator=np.eye(xs * flavs).reshape((xs, flavs, xs, flavs))) diff --git a/tests/eko/runner/test_legacy.py b/tests/eko/runner/test_legacy.py index 60395acc5..1828285c3 100644 --- a/tests/eko/runner/test_legacy.py +++ b/tests/eko/runner/test_legacy.py @@ -36,7 +36,7 @@ class FakeEM(enum.Enum): eko.runner.legacy.Runner(theory_card, operator_card, path=path) # MSbar scheme theory_card.heavy.masses_scheme = QuarkMassScheme.MSBAR - theory_card.couplings.num_flavs_ref = 5 + theory_card.couplings.ref = (91.0, 5) theory_card.heavy.masses.c.scale = 2 theory_card.heavy.masses.b.scale = 4.5 theory_card.heavy.masses.t.scale = 173.07 diff --git a/tests/eko/runner/test_operators.py b/tests/eko/runner/test_operators.py index 77811cf3a..7a8b4cdb7 100644 --- a/tests/eko/runner/test_operators.py +++ b/tests/eko/runner/test_operators.py @@ -6,8 +6,8 @@ def test_retrieve(ekoparts: EKO): - evhead, evop = next(iter(ekoparts.parts.cache.items())) - matchhead, matchop = next(iter(ekoparts.parts_matching.cache.items())) + evhead, _evop = next(iter(ekoparts.parts.cache.items())) + matchhead, _matchop = next(iter(ekoparts.parts_matching.cache.items())) els = _retrieve([evhead] * 5, ekoparts.parts, ekoparts.parts_matching) assert len(els) == 5 @@ -27,7 +27,7 @@ def test_join(identity: Operator): matrix product, but there not so many sensible rank-4 operators. """ - linear_size = np.product(identity.operator.shape[:2]) + linear_size = np.prod(identity.operator.shape[:2]) for n in range(1, 8, 3): res = join([identity for _ in range(n)]) assert res.error is None diff --git a/tests/eko/scale_variations/test_diff.py b/tests/eko/scale_variations/test_diff.py new file mode 100644 index 000000000..13cc4938f --- /dev/null +++ b/tests/eko/scale_variations/test_diff.py @@ -0,0 +1,182 @@ +"""Test ``ModSV=exponentiated`` kernel vs ``ModSV=expanded``. + +We test that the quantity :math:`ker_A / ker_B` for truncated solution, +is always higher order difference. + +For simplicity we do FFNS nf=4. +""" + +import numpy as np + +from eko import basis_rotation as br +from eko.beta import beta_qcd_as2, beta_qcd_as3 +from eko.couplings import CouplingEvolutionMethod, Couplings, CouplingsInfo +from eko.kernels import EvoMethods, non_singlet, singlet +from eko.quantities.heavy_quarks import QuarkMassScheme +from eko.scale_variations import expanded, exponentiated +from ekore.anomalous_dimensions.unpolarized.space_like import gamma_ns, gamma_singlet + +NF = 4 +Q02 = 1.65**2 +Q12 = 100**2 +EV_METHOD = EvoMethods.TRUNCATED + + +def compute_a_s(q2, order): + sc = Couplings( + couplings=CouplingsInfo( + alphas=0.1181, + alphaem=0.007496, + ref=(91.00, 4), + ), + order=order, + method=CouplingEvolutionMethod.EXPANDED, + masses=np.array([0.0, np.inf, np.inf]), + hqm_scheme=QuarkMassScheme.POLE, + thresholds_ratios=np.array([1.0, 1.0, 1.0]), + ) + # the multiplication for xif2 here it's done explicitly outside + return sc.a_s(scale_to=q2) + + +def scheme_diff_ns(g, a0, a1, L, order): + """:math:`ker_A / ker_B` for truncated non-singlet expansion.""" + + b0 = beta_qcd_as2(NF) + b1 = beta_qcd_as3(NF) + if order == (1, 0): + # series of (1.0 + b0 * L * a0) ** (g[0] / b0), L->0 + diff = 1 + a0 * g[0] * L + 1 / 2 * a0**2 * g[0] * (-b0 + g[0]) * L**2 + elif order == (2, 0): + # this term is formally 1 + as^2 + diff = ( + 1 + - (a1**2 * g[0] * L * (-b1 * g[0] + b0 * (g[1] + b0 * g[0] * L))) / b0**2 + + ( + (a0 * a1 * g[0] * L) + * (-2 * b1 * g[0] + b0 * (3 * b0 * g[0] * L + g[1] * 2)) + ) + / b0**2 + + (a0**2 * L / (2 * b0**5)) + * ( + +3 * b0**6 * g[0] * L + + b0**5 * (-3 * g[0] * g[0] * L + g[1] * 2) + + (2 * b0**3) * (+b1 * g[0] * (g[0])) + + b0**4 * (-2 * g[0] * g[1]) + ) + ) + return diff + + +def scheme_diff_s(g, a0, a1, L, order): + """:math:`ker_A / ker_B` for truncated singlet expansion.""" + + b0 = beta_qcd_as2(NF) + b1 = beta_qcd_as3(NF) + if order == (1, 0): + # series of exp(log(1.0 + b0 * L * a0) * g[0] / b0)[0], L->0 + diff = np.eye(2) + a0 * g[0] * L + 1 / 2 * a0**2 * g[0] @ (-b0 + g[0]) * L**2 + elif order == (2, 0): + # this term is formally 1 + as^2 + diff = ( + np.eye(2) + - (a1**2 * g[0] * L @ (-b1 * g[0] + b0 * (g[1] + b0 * g[0] * L))) / b0**2 + + ( + (a0 * a1 * g[0] * L) + @ (-2 * b1 * g[0] + b0 * (3 * b0 * g[0] * L + g[1] * 2)) + ) + / b0**2 + + (a0**2 * L / (2 * b0**5)) + * ( + +3 * b0**6 * g[0] * L + + b0**5 * (-3 * g[0] @ g[0] * L + g[1] * 2) + + (2 * b0**3) * (+b1 * g[0] @ (g[0])) + + b0**4 * (-2 * g[0] @ g[1]) + ) + ) + return diff + + +def test_scale_variation_a_vs_b(): + r"""Test ``ModSV=exponentiated`` kernel vs ``ModSV=expanded``.""" + + # let's use smaller scale variation to + # keep the expansions under control + for xif2 in [0.9, 1.1]: + L = np.log(xif2) + for order in [(1, 0), (2, 0)]: + # compute values of alphas + a0 = compute_a_s(Q02, order) + a1 = compute_a_s(Q12, order) + a0_b = a0 + a1_b = compute_a_s(Q12 * xif2, order) + a0_a = compute_a_s(Q02 * xif2, order) + a1_a = a1_b # for FFNS these 2 will coincide + for n in [2.0, 3.0, 10.0]: + # Non singlet kernels + gns = gamma_ns( + order, + br.non_singlet_pids_map["ns+"], + n, + NF, + n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0), + ) + + # build scheme B solution + ker_b = non_singlet.dispatcher( + order, EV_METHOD, gns, a1_b, a0_b, NF, ev_op_iterations=1 + ) + ker_b = ker_b * expanded.non_singlet_variation(gns, a1_b, order, NF, L) + + # build scheme A solution + gns_a = exponentiated.gamma_variation(gns.copy(), order, NF, L) + ker_a = non_singlet.dispatcher( + order, EV_METHOD, gns_a, a1_a, a0_a, NF, ev_op_iterations=1 + ) + + ns_diff = scheme_diff_ns(gns, a0, a1, L, order) + np.testing.assert_allclose( + ker_a / ker_b, + ns_diff, + err_msg=f"{L=},{order=},{n=},non-singlet", + rtol=2e-5 if order == (1, 0) else 3e-3, + ) + + # Singlet kernels + gs = gamma_singlet( + order, n, NF, n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0) + ) + + # build scheme B solution + ker_b = singlet.dispatcher( + order, + EV_METHOD, + gs, + a1_b, + a0_b, + NF, + ev_op_iterations=1, + ev_op_max_order=1, + ) + ker_b = expanded.singlet_variation(gs, a1_b, order, NF, L, 2) @ ker_b + + # build scheme A solution + gs_a = exponentiated.gamma_variation(gs.copy(), order, NF, L) + ker_a = singlet.dispatcher( + order, + EV_METHOD, + gs_a, + a1_a, + a0_a, + NF, + ev_op_iterations=1, + ev_op_max_order=1, + ) + + s_diff = scheme_diff_s(gs, a0, a1, L, order) + np.testing.assert_allclose( + np.diag(ker_a @ np.linalg.inv(ker_b)), + np.diag(s_diff), + err_msg=f"{L=},{order=},{n=},singlet", + rtol=2e-4 if order == (1, 0) else 9e-3, + ) diff --git a/tests/eko/scale_variations/test_expanded.py b/tests/eko/scale_variations/test_expanded.py index d85b8926a..309a87597 100644 --- a/tests/eko/scale_variations/test_expanded.py +++ b/tests/eko/scale_variations/test_expanded.py @@ -1,11 +1,34 @@ import numpy as np from eko import basis_rotation as br -from eko.beta import beta_qcd_as2, beta_qcd_as3 -from eko.kernels import non_singlet, singlet -from eko.scale_variations import Modes, expanded, exponentiated +from eko.couplings import CouplingEvolutionMethod, Couplings, CouplingsInfo +from eko.kernels import EvoMethods, non_singlet, singlet +from eko.quantities.heavy_quarks import QuarkMassScheme +from eko.scale_variations import Modes, expanded from ekore.anomalous_dimensions.unpolarized.space_like import gamma_ns, gamma_singlet +NF = 4 +Q02 = 1.65**2 +Q12 = 100**2 +EV_METHOD = EvoMethods.TRUNCATED + + +def compute_a_s(q2, order): + sc = Couplings( + couplings=CouplingsInfo( + alphas=0.1181, + alphaem=0.007496, + ref=(91.00, 4), + ), + order=order, + method=CouplingEvolutionMethod.EXPANDED, + masses=np.array([0.0, np.inf, np.inf]), + hqm_scheme=QuarkMassScheme.POLE, + thresholds_ratios=np.array([1.0, 1.0, 1.0]), + ) + # the multiplication for xif2 here it's done explicitly outside + return sc.a_s(scale_to=q2) + def test_modes(): assert Modes.expanded.name == "expanded" @@ -91,111 +114,80 @@ def test_valence_sv_dispacher_qed(): ) -def test_scale_variation_a_vs_b(): - r""" - Test ``ModSV=exponentiated`` kernel vs ``ModSV=expanded``. - We test that the quantity :math:`(ker_A - ker_B)/ker_{unv}` - - Note this is NOT the real difference between scheme expanded - and exponentiated since here we don't take into account the - shifts in path length and :math:`\alpha_s` values. - The real difference is always higher order. - """ - nf = 5 - n = 10 - a1 = 0.118 / (4 * np.pi) - a0 = 0.2 / (4 * np.pi) - method = "truncated" - - def scheme_diff(g, k, pto, is_singlet): - """ - :math:`(ker_A - ker_B)/ker_{unv}` for truncated expansion - Effects due to non commutativity are neglected thus, - the accuracy of singlet quantities is slightly worse. - """ - if pto[0] >= 2: - diff = -g[0] * k * a0 # - 2 * a1 * k * g[0] - # if pto[0] >= 3: - # b0 = beta_qcd_as2(nf) - # g02 = g[0] @ g[0] if is_singlet else g[0] ** 2 - # diff += ( - # -2 * a1**2 * g[1] * k - # + a0**2 * g[1] * k - # + a1**2 * b0 * g[0] * k**2 - # - 0.5 * a0**2 * b0 * g[0] * k**2 - # - a1 * a0 * g02 * k**2 - # + 0.5 * a0**2 * g02 * k**2 - # + a1**2 * g02 * k**2 - # ) - # if pto[0] >= 4: - # b1 = beta_qcd_as3(nf) - # g0g1 = g[0] @ g[1] if is_singlet else g[0] * g[1] - # g03 = g02 @ g[0] if is_singlet else g02 * g[0] - # diff += ( - # a0**3 * g[2] * k - # - 2 * a1**3 * g[2] * k - # - 1 / 2 * a0**3 * b1 * g[0] * k**2 - # + a1**3 * b1 * g[0] * k**2 - # - a0**3 * b0 * g[1] * k**2 - # + 2 * a1**3 * b0 * g[1] * k**2 - # + a0**3 * g0g1 * k**2 - # - a0**2 * a1 * g0g1 * k**2 - # - a0 * a1**2 * g0g1 * k**2 - # + 2 * a1**3 * g0g1 * k**2 - # + 1 / 3 * a0**3 * b0**2 * g[0] * k**3 - # - 2 / 3 * a1**3 * b0**2 * g[0] * k**3 - # - 1 / 2 * a0**3 * b0 * g02 * k**3 - # + 1 / 2 * a0**2 * a1 * b0 * g02 * k**3 - # + 1 / 2 * a0 * a1**2 * b0 * g02 * k**3 - # - a1**3 * b0 * g02 * k**3 - # + 1 / 6 * a0**3 * g03 * k**3 - # - 1 / 2 * a0**2 * a1 * g03 * k**3 - # + 1 / 2 * a0 * a1**2 * g03 * k**3 - # - 1 / 3 * a1**3 * g03 * k**3 - # ) - return diff - - for L in [np.log(0.5), np.log(2)]: - # for order in [(2, 0), (3, 0), (4, 0)]: - for order in [(2, 0)]: - # Non singlet kernels - gns = gamma_ns( - order, - br.non_singlet_pids_map["ns+"], - n, - nf, - n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0), - ) - ker = non_singlet.dispatcher( - order, method, gns, a1, a0, nf, ev_op_iterations=1 - ) - gns_a = exponentiated.gamma_variation(gns.copy(), order, nf, L) - ker_a = non_singlet.dispatcher( - order, method, gns_a, a1, a0, nf, ev_op_iterations=1 - ) - ker_b = ker * expanded.non_singlet_variation(gns, a1, order, nf, L) - ns_diff = scheme_diff(gns, L, order, False) +def test_expanded_is_linear(): + r"""Test is linear.""" + for order in [(1, 0), (2, 0), (3, 0), (4, 0)]: + for n in [2.0, 3.0, 10.0]: + rel_err_ns = [] + rel_err_s = [] + for L in [0.3, 0.5, 0.7]: + xif2 = np.exp(L) + # compute values of alphas + a0 = compute_a_s(Q02, order) + a1 = compute_a_s(Q12, order) + a1_b = compute_a_s(Q12 * xif2, order) + # Non singlet kernels + gns = gamma_ns( + order, + br.non_singlet_pids_map["ns+"], + n, + NF, + n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0), + ) + + # build scheme B solution + ker_b = non_singlet.dispatcher( + order, EV_METHOD, gns, a1, a0, NF, ev_op_iterations=1 + ) + sv_b = non_singlet.dispatcher( + order, EV_METHOD, gns, a1_b, a0, NF, ev_op_iterations=1 + ) + sv_b = sv_b * expanded.non_singlet_variation(gns, a1_b, order, NF, L) + + rel_err_ns.append(sv_b / ker_b) + + # Singlet kernels + gs = gamma_singlet( + order, n, NF, n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0) + ) + + # build scheme B solution + ker_b = singlet.dispatcher( + order, + EV_METHOD, + gs, + a1, + a0, + NF, + ev_op_iterations=1, + ev_op_max_order=1, + ) + sv_b = singlet.dispatcher( + order, + EV_METHOD, + gs, + a1_b, + a0, + NF, + ev_op_iterations=1, + ev_op_max_order=1, + ) + sv_b = expanded.singlet_variation(gs, a1_b, order, NF, L, 2) @ sv_b + rel_err_s.append(sv_b @ np.linalg.inv(ker_b)) + + # there must be something + for err in rel_err_ns: + assert np.abs(err) != 1.0 + for err in np.array(rel_err_s).flatten(): + assert np.abs(err) != 1.0 + # error has to increase np.testing.assert_allclose( - (ker_a - ker_b) / ker, - ns_diff, - atol=1e-3, - err_msg=f"L={L},order={order},non-singlet", - ) - - # Singlet kernels - gs = gamma_singlet(order, n, nf, n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0)) - ker = singlet.dispatcher( - order, method, gs, a1, a0, nf, ev_op_iterations=1, ev_op_max_order=1 - ) - gs_a = exponentiated.gamma_variation(gs.copy(), order, nf, L) - ker_a = singlet.dispatcher( - order, method, gs_a, a1, a0, nf, ev_op_iterations=1, ev_op_max_order=1 + rel_err_ns, + sorted(rel_err_ns, reverse=True), + err_msg=f"{order=},{n=},non-singlet", ) - ker_b = ker @ expanded.singlet_variation(gs, a1, order, nf, L, 2) - s_diff = scheme_diff(gs, L, order, True) np.testing.assert_allclose( - (ker_a - ker_b) @ np.linalg.inv(ker), - s_diff, - atol=5e-3, - err_msg=f"L={L},order={order},singlet", + rel_err_s, + sorted(rel_err_s, key=np.max, reverse=True), + err_msg=f"{order=},{n=},singlet", ) diff --git a/tests/eko/test_beta.py b/tests/eko/test_beta.py index 682c79f57..8fcdd6931 100644 --- a/tests/eko/test_beta.py +++ b/tests/eko/test_beta.py @@ -2,6 +2,7 @@ This module tests the implemented beta functions and the value of alpha_s for different orders. """ + import numpy as np import pytest diff --git a/tests/eko/test_couplings.py b/tests/eko/test_couplings.py index 62110da16..9b68d308b 100644 --- a/tests/eko/test_couplings.py +++ b/tests/eko/test_couplings.py @@ -2,6 +2,7 @@ This module tests the implemented beta functions and the value of alpha_s for different orders. """ + import copy import enum @@ -53,9 +54,7 @@ def test_init(self): dict( alphas=alpharef[0], alphaem=alpharef[1], - scale=muref, - num_flavs_ref=None, - max_num_flavs=6, + ref=(muref, 5), ) ) order = (1, 0) @@ -108,7 +107,7 @@ def test_init(self): ) with pytest.raises(ValueError): coup3 = copy.deepcopy(couplings) - coup3.scale = 0 + coup3.ref = (0.0, 5) Couplings( coup3, order, @@ -152,18 +151,17 @@ def test_ref(self): (0, np.inf, np.inf), (2, 4, 175), ] + nfrefs = (3, 4, 5) alpharef = (0.118, 0.00781) muref = 91.0 - couplings = CouplingsInfo.from_dict( - dict( - alphas=alpharef[0], - alphaem=alpharef[1], - scale=muref, - num_flavs_ref=None, - max_num_flavs=6, + for thresh_setup, nfref in zip(thresh_setups, nfrefs): + couplings = CouplingsInfo.from_dict( + dict( + alphas=alpharef[0], + alphaem=alpharef[1], + ref=(muref, nfref), + ) ) - ) - for thresh_setup in thresh_setups: for order_s in [1, 2, 3, 4]: for order_em in [0, 1, 2]: for evmod in CouplingEvolutionMethod: @@ -194,9 +192,7 @@ def test_ref_copy_e841b0dfdee2f31d9ccc1ecee4d9d1a6f6624313(self): dict( alphas=alpharef[0], alphaem=alpharef[1], - scale=muref, - num_flavs_ref=3, # reference nf is needed to force the matching - max_num_flavs=6, + ref=(muref, 3), # reference nf is needed to force the matching ) ) sc = Couplings( @@ -220,9 +216,10 @@ def test_exact(self): (0, np.inf, np.inf), (2, 4, 175), ] + nfrefs = (3, 4, 5) alpharef = np.array([0.118, 0.00781]) muref = 91.0 - for thresh_setup in thresh_setups: + for thresh_setup, nfref in zip(thresh_setups, nfrefs): for qcd in range(1, 4 + 1): for qed in range(2 + 1): for em_running in [ @@ -234,9 +231,7 @@ def test_exact(self): dict( alphas=alpharef[0], alphaem=alpharef[1], - scale=muref, - num_flavs_ref=None, - max_num_flavs=6, + ref=(muref, nfref), em_running=em_running, ) ) @@ -297,9 +292,7 @@ def benchmark_expanded_n3lo(self): couplings = CouplingsInfo( alphas=alpharef[0], alphaem=alpharef[1], - scale=muref, - num_flavs_ref=None, - max_num_flavs=6, + ref=(muref, 5), ) m2c = 2 m2b = 25 diff --git a/tests/eko/test_gamma.py b/tests/eko/test_gamma.py index 3e9533b89..dfa8f069f 100644 --- a/tests/eko/test_gamma.py +++ b/tests/eko/test_gamma.py @@ -1,6 +1,7 @@ """ This module tests the implemented gamma functions """ + import numpy as np import pytest diff --git a/tests/eko/test_matchings.py b/tests/eko/test_matchings.py index 36a540f3f..12934789d 100644 --- a/tests/eko/test_matchings.py +++ b/tests/eko/test_matchings.py @@ -1,4 +1,5 @@ """Tests for the threshold class""" + from dataclasses import astuple import numpy as np diff --git a/tests/eko/test_msbar_masses.py b/tests/eko/test_msbar_masses.py index b0c102ef8..25718e962 100644 --- a/tests/eko/test_msbar_masses.py +++ b/tests/eko/test_msbar_masses.py @@ -1,4 +1,5 @@ """Tests for the threshold class.""" + import numpy as np import pytest @@ -15,9 +16,8 @@ def theory_card(theory_card: TheoryCard): th = theory_card th.order = (3, 0) th.couplings.alphas = 0.1180 - th.couplings.scale = 91.0 th.couplings.alphaem = 0.00781 - th.couplings.num_flavs_ref = 5 + th.couplings.ref = (91.0, 5) th.heavy.masses = HeavyQuarkMasses( [QuarkMassRef(val) for val in [(2.0, 2.1), (4.0, 4.1), (175.0, 174.9)]] ) diff --git a/tests/eko/test_quantities.py b/tests/eko/test_quantities.py index 0c2628b30..d3c412a25 100644 --- a/tests/eko/test_quantities.py +++ b/tests/eko/test_quantities.py @@ -33,9 +33,6 @@ def test_HeavyQuarks(): def test_HeavyInfo(): i = hq.HeavyInfo( - num_flavs_init=4, - num_flavs_max_pdf=6, - intrinsic_flavors=[4, 5], masses=hq.HeavyQuarkMasses( [ hq.QuarkMassRef([2.0, nan]), diff --git a/tests/ekobox/test_apply.py b/tests/ekobox/test_apply.py index 8fa23548f..70eb74adc 100644 --- a/tests/ekobox/test_apply.py +++ b/tests/ekobox/test_apply.py @@ -1,5 +1,6 @@ import numpy as np +from eko import basis_rotation as br from ekobox import apply from tests.conftest import EKOFactory @@ -12,13 +13,13 @@ def test_apply(self, eko_factory: EKOFactory, fake_pdf): pdf_grid = apply.apply_pdf(eko, fake_pdf) assert len(pdf_grid) == len(eko.evolgrid) pdfs = pdf_grid[ep_out]["pdfs"] - assert list(pdfs.keys()) == list(eko.bases.targetpids) + assert list(pdfs.keys()) == list(br.flavor_basis_pids) # rotate to target_grid target_grid = [0.75] pdf_grid = apply.apply_pdf(eko, fake_pdf, target_grid) assert len(pdf_grid) == 1 pdfs = pdf_grid[ep_out]["pdfs"] - assert list(pdfs.keys()) == list(eko.bases.targetpids) + assert list(pdfs.keys()) == list(br.flavor_basis_pids) def test_apply_flavor(self, eko_factory: EKOFactory, fake_pdf, monkeypatch): eko = eko_factory.get() @@ -27,12 +28,8 @@ def test_apply_flavor(self, eko_factory: EKOFactory, fake_pdf, monkeypatch): monkeypatch.setattr( "eko.basis_rotation.rotate_flavor_to_evolution", np.ones((14, 14)) ) - monkeypatch.setattr( - "eko.basis_rotation.flavor_basis_pids", - eko.bases.targetpids, - ) fake_evol_basis = tuple( - ["a", "b"] + [str(x) for x in range(len(eko.bases.pids) - 2)] + ["a", "b"] + [str(x) for x in range(len(br.flavor_basis_pids) - 2)] ) monkeypatch.setattr("eko.basis_rotation.evol_basis", fake_evol_basis) pdf_grid = apply.apply_pdf(eko, fake_pdf, rotate_to_evolution_basis=True) diff --git a/tests/ekobox/test_cards.py b/tests/ekobox/test_cards.py index 1a35e137e..00ef0e4c3 100644 --- a/tests/ekobox/test_cards.py +++ b/tests/ekobox/test_cards.py @@ -10,14 +10,14 @@ def test_generate_ocard(): mu0 = 1.65 mugrid = [(10.0, 6), (100.0, 5)] op = cards.example.operator() - op.mu0 = mu0 + op.init = (mu0, 4) op.mugrid = mugrid assert pytest.approx(op.mugrid) == mugrid assert pytest.approx(op.mu2grid) == np.array([mu**2 for mu, _ in mugrid]) assert op.configs.interpolation_polynomial_degree == 4 mugrid1 = [100.0, 5] op = cards.example.operator() - op.mu0 = mu0 + op.init = (mu0, 4) op.mugrid = mugrid1 op.configs.interpolation_polynomial_degree = 2 op.configs.interpolation_is_log = False @@ -35,7 +35,7 @@ def test_dump_load_op_card(tmp_path, cd): path1 = tmp_path / "debug_op.yaml" path2 = tmp_path / "debug_op_two.yaml" op = cards.example.operator() - op.mu0 = mu0 + op.init = (mu0, 4) cards.dump(op.raw, path1) cards.dump(op.raw, path2) op_loaded = cards.load(path1) @@ -52,7 +52,7 @@ def test_generate_theory_card(): assert theory.order[0] == 2 rawt = cards.example.raw_theory() assert isinstance(rawt, dict) - assert theory.heavy.num_flavs_init == rawt["heavy"]["num_flavs_init"] + assert theory.heavy.masses.c[0] == rawt["heavy"]["masses"][0][0] def containsnan(obj) -> bool: diff --git a/tests/ekobox/test_evol_pdf.py b/tests/ekobox/test_evol_pdf.py index 54bce6623..7d788277b 100644 --- a/tests/ekobox/test_evol_pdf.py +++ b/tests/ekobox/test_evol_pdf.py @@ -1,4 +1,5 @@ import numpy as np +import pytest from banana import toy import eko @@ -11,7 +12,7 @@ def init_cards(): op = cards.example.operator() - op.mu0 = 1.65 + op.init = (1.65, 4) op.xgrid = XGrid([0.1, 0.5, 1.0]) op.configs.interpolation_polynomial_degree = 1 theory = cards.example.theory() @@ -50,6 +51,21 @@ def test_evolve_pdfs_dump_path(fake_lhapdf, cd): assert p.exists() +def test_evolve_pdfs_bad_scales(fake_lhapdf, cd): + """Bad scale configurations.""" + theory, op = init_cards() + n = "test_evolve_pdfs_bad_scales" + op = cards.example.operator() + op.mugrid = [(5.0, 3), (15.0, 4), (10.0, 5), (100.0, 5)] + with pytest.raises(ValueError, match="is bigger"): + with cd(fake_lhapdf): + ev_p.evolve_pdfs([toy.mkPDF("", 0)], theory, op, name=n, path=fake_lhapdf) + op.mugrid = [(5.0, 3), (10.0, 3), (10.0, 4), (15.0, 4), (10.0, 5)] + with pytest.raises(ValueError, match="is bigger"): + with cd(fake_lhapdf): + ev_p.evolve_pdfs([toy.mkPDF("", 0)], theory, op, name=n, path=fake_lhapdf) + + def test_evolve_pdfs_dump_file(fake_lhapdf, cd): theory, op = init_cards() n = "test_evolve_pdfs_dump_file" diff --git a/tests/ekobox/test_info_file.py b/tests/ekobox/test_info_file.py index 64af8eb93..62df7d739 100644 --- a/tests/ekobox/test_info_file.py +++ b/tests/ekobox/test_info_file.py @@ -10,7 +10,7 @@ def test_build(): theory.order = (2, 0) theory.couplings.alphas = 0.2 op = cards.example.operator() - op.mu0 = 1.0 + op.init = (1.0, 3) op.mugrid = [(10.0, 5), (100.0, 5)] info = info_file.build( theory, op, 4, info_update={"SetDesc": "Prova", "NewArg": 15.3, "MTop": 1.0} @@ -23,3 +23,27 @@ def test_build(): np.testing.assert_allclose(info["QMin"], math.sqrt(op.mu2grid[0]), rtol=1e-5) assert info["XMin"] == op.xgrid.raw[0] assert info["XMax"] == op.xgrid.raw[-1] == 1.0 + + +def test_build_alphas_good(): + """Good configurations.""" + theory = cards.example.theory() + theory.order = (2, 0) + theory.couplings.alphas = 0.2 + op = cards.example.operator() + op.mu0 = 1.0 + # base case + op.mugrid = [(100.0, 5), (10.0, 5)] + info = info_file.build_alphas(theory, op) + assert len(info["AlphaS_Vals"]) == 2 + np.testing.assert_allclose(info["AlphaS_Qs"], [10.0, 100.0]) + # several nf + op.mugrid = [(5.0, 4), (10.0, 5), (1.0, 3), (5.0, 3), (10.0, 5), (100.0, 5)] + info = info_file.build_alphas(theory, op) + assert len(info["AlphaS_Vals"]) == 6 + np.testing.assert_allclose(info["AlphaS_Qs"], [1.0, 5.0, 5.0, 10.0, 10.0, 100.0]) + # several nf with gap + op.mugrid = [(1.0, 3), (10.0, 3), (10.0, 5), (100.0, 5)] + info = info_file.build_alphas(theory, op) + assert len(info["AlphaS_Vals"]) == 4 + np.testing.assert_allclose(info["AlphaS_Qs"], [1.0, 10.0, 10.0, 100.0]) diff --git a/tests/ekobox/test_utils.py b/tests/ekobox/test_utils.py index 557db679c..1233d1d91 100644 --- a/tests/ekobox/test_utils.py +++ b/tests/ekobox/test_utils.py @@ -16,10 +16,9 @@ def test_ekos_product(tmp_path): theory = cards.example.theory() theory.order = (1, 0) - theory.heavy.num_flavs_init = 5 op1 = cards.example.operator() - op1.mu0 = mu01 + op1.init = (mu01, 5) op1.mugrid = mugrid1 op1.xgrid = xgrid op1.configs.interpolation_polynomial_degree = 1 @@ -28,13 +27,13 @@ def test_ekos_product(tmp_path): mugrid2 = [(8.0, 5), (10.0, 5), (12.0, 5)] op2 = cards.example.operator() - op2.mu0 = mu0 + op2.init = (mu0, 5) op2.mugrid = mugrid2 op2.xgrid = xgrid op2.configs.interpolation_polynomial_degree = 1 op_err = copy.deepcopy(op2) - op_err.mu0 = mu01 + op_err.init = (mu01, 5) mu2first = (mugrid2[0][0] ** 2, mugrid2[0][1]) diff --git a/tests/ekomark/data/__init__.py b/tests/ekomark/data/__init__.py new file mode 100644 index 000000000..e69de29bb diff --git a/tests/ekomark/data/test_init.py b/tests/ekomark/data/test_init.py new file mode 100644 index 000000000..278a06181 --- /dev/null +++ b/tests/ekomark/data/test_init.py @@ -0,0 +1,96 @@ +import copy + +import numpy as np +import pytest +from banana.data.theories import default_card as theory_card + +from eko.io import runcards as rc +from ekomark.data import update_runcards +from ekomark.data.operators import default_card as operator_card + +from ...eko.io.test_runcards import check_dumpable + + +def test_runcards_opcard(): + # check conversion + tc = copy.deepcopy(theory_card) + oc = copy.deepcopy(operator_card) + tc["Q0"] = 2.0 + # mugrid + oc["mugrid"] = [2.0, 10.0] + _nt, no = update_runcards(tc, oc) + assert isinstance(no, rc.OperatorCard) + assert len(no.evolgrid) == len(oc["mugrid"]) + assert len(no.mu2grid) == len(no.evolgrid) + assert no.evolgrid[0][-1] == 4 + assert no.evolgrid[1][-1] == 5 + np.testing.assert_allclose(no.init[0], tc["Q0"]) + np.testing.assert_allclose(no.mu20, tc["Q0"] ** 2.0) + assert len(no.pids) == 14 + check_dumpable(no) + del oc["mugrid"] + # or mu2grid + oc["mu2grid"] = [9.0, 30.0, 32.0] + _nt, no = update_runcards(tc, oc) + assert isinstance(no, rc.OperatorCard) + assert len(no.evolgrid) == len(oc["mu2grid"]) + assert len(no.mu2grid) == len(no.evolgrid) + assert no.evolgrid[0][-1] == 4 + assert no.evolgrid[1][-1] == 5 + assert no.evolgrid[2][-1] == 5 + check_dumpable(no) + del oc["mu2grid"] + # or Q2grid + oc["Q2grid"] = [15.0, 130.0, 140.0, 1e5] + _nt, no = update_runcards(tc, oc) + assert isinstance(no, rc.OperatorCard) + assert len(no.evolgrid) == len(oc["Q2grid"]) + assert len(no.mu2grid) == len(no.evolgrid) + assert no.evolgrid[0][-1] == 4 + assert no.evolgrid[1][-1] == 5 + assert no.evolgrid[2][-1] == 5 + assert no.evolgrid[3][-1] == 6 + check_dumpable(no) + + +def test_runcards_ekomark(): + # check conversion + tc = copy.deepcopy(theory_card) + oc = copy.deepcopy(operator_card) + nt, no = update_runcards(tc, oc) + assert isinstance(nt, rc.TheoryCard) + assert isinstance(no, rc.OperatorCard) + # check is idempotent + nnt, nno = update_runcards(nt, no) + assert nnt == nt + assert nno == no + + +def test_runcards_quarkmass(): + tc = copy.deepcopy(theory_card) + tc["nfref"] = 5 + tc["IC"] = 1 + oc = copy.deepcopy(operator_card) + nt, no = update_runcards(tc, oc) + for _, scale in nt.heavy.masses: + assert np.isnan(scale) + m2s = rc.masses(nt, no.configs.evolution_method) + raw = rc.Legacy.heavies("m%s", tc) + raw2 = np.power(raw, 2.0) + np.testing.assert_allclose(m2s, raw2) + tc["HQ"] = "MSBAR" + tc["Qmc"] = raw[0] * 1.1 + tc["Qmb"] = raw[1] * 1.1 + tc["Qmt"] = raw[2] * 0.9 + nt, no = update_runcards(tc, oc) + for _, scale in nt.heavy.masses: + assert not np.isnan(scale) + m2s = rc.masses(nt, no.configs.evolution_method) + for m1, m2 in zip(m2s, raw2): + assert not np.isclose(m1, m2) + tc["HQ"] = "Blub" + with pytest.raises(ValueError, match="mass scheme"): + _nt, _no = update_runcards(tc, oc) + nt.heavy.masses_scheme = "Bla" + with pytest.raises(ValueError, match="mass scheme"): + _ms = rc.masses(nt, no.configs.evolution_method) diff --git a/tests/ekore/anomalous_dimensions/polarized/space_like/test_ad_as2.py b/tests/ekore/anomalous_dimensions/polarized/space_like/test_ad_as2.py index 743bae92d..b77fd7a83 100755 --- a/tests/ekore/anomalous_dimensions/polarized/space_like/test_ad_as2.py +++ b/tests/ekore/anomalous_dimensions/polarized/space_like/test_ad_as2.py @@ -32,10 +32,7 @@ def test_qg_momentum(): cache = harmonics.cache.reset() np.testing.assert_allclose( -as2.gamma_qg(N, nf, cache), - 4 - * nf - * (0.574074 * CF - 2 * CA * (-7 / 18 + 1 / 6 * (5 - np.pi**2 / 3))) - * TR, + 4 * nf * (0.574074 * CF - 2 * CA * (-7 / 18 + 1 / 6 * (5 - np.pi**2 / 3))) * TR, ) @@ -58,6 +55,5 @@ def test_gg_momentum(): cache = harmonics.cache.reset() np.testing.assert_almost_equal( -as2.gamma_gg(N, nf, cache), - 4 - * (-1.7537256813471833 * CA**2 + ((29 * CA) / 27 - (28 * CF) / 27) * nf * TR), + 4 * (-1.7537256813471833 * CA**2 + ((29 * CA) / 27 - (28 * CF) / 27) * nf * TR), ) diff --git a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py index 13562cd61..7eccd27c0 100644 --- a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py +++ b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py @@ -18,7 +18,7 @@ n3lo_vars_dict = { "gg": 19, - "gq": 21, + "gq": 15, "qg": 15, "qq": 6, } @@ -132,7 +132,7 @@ def test_momentum_conservation(): np.testing.assert_allclose( gnsp.gamma_nsp_nf0(N, sx_cache) + g_gq[:, 0], 0, - atol=2e-10, + atol=1e-9, ) np.testing.assert_allclose( g_gg[:, 0], diff --git a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4_fhmv.py b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4_fhmv.py index 8bef494c7..a6671e3b2 100644 --- a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4_fhmv.py +++ b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4_fhmv.py @@ -45,7 +45,7 @@ def test_momentum_conservation(): # total np.testing.assert_allclose( g_singlet[:, 0, 0] + g_singlet[:, 1, 0], - [0.08617, 0.220242, -0.047901], + [0.053441, 0.225674, -0.118792], atol=2e-5, ) np.testing.assert_allclose( @@ -190,7 +190,7 @@ def gq3_moment(N, nf): np.testing.assert_allclose( ggq.gamma_gq(N, nf, cache, variation), gq3_moment(N, nf), - rtol=2e-4, + rtol=4e-4, ) with pytest.raises(NotImplementedError): diff --git a/tests/ekore/operator_matrix_elements/polarized/space_like/test_nnlo.py b/tests/ekore/operator_matrix_elements/polarized/space_like/test_nnlo.py index cd0c507cc..c107aff89 100644 --- a/tests/ekore/operator_matrix_elements/polarized/space_like/test_nnlo.py +++ b/tests/ekore/operator_matrix_elements/polarized/space_like/test_nnlo.py @@ -27,18 +27,18 @@ def test_quark_number_conservation(): def test_hg(): refs = { 0: [ - -242.3869306886845, - -480.6122566782359, - -814.6150038529145, - -1244.9445223204148, - -1771.5995558739958, + -14.120648885210752, + -15.093091588201201, + -14.014668171450229, + -12.815826533022285, + -11.761139164575077, ], 10: [ - -21.21409118251165, - -295.28287396218656, - -664.653836052461, - -1121.4595082763883, - -1667.8336593381266, + 207.0521906209621, + 170.2362911278482, + 135.9464996290033, + 110.6691875110041, + 92.0047573712939, ], } for L, vals in refs.items(): diff --git a/tests/ekore/operator_matrix_elements/unpolarized/space_like/test_as3.py b/tests/ekore/operator_matrix_elements/unpolarized/space_like/test_as3.py index 2afd57d23..efc7cb277 100644 --- a/tests/ekore/operator_matrix_elements/unpolarized/space_like/test_as3.py +++ b/tests/ekore/operator_matrix_elements/unpolarized/space_like/test_as3.py @@ -26,7 +26,6 @@ def test_A_3(): N = 2.0 sx_cache = c.reset() # The accuracy of this test depends on the approximation of aHg3. - # which is not fully available. atol = 2e-4 if L == 0 else 2e-3 np.testing.assert_allclose( as3.A_gg(N, sx_cache, nf, L) @@ -123,18 +122,18 @@ def test_Blumlein_3(): } ref_val_a_Hg = { 0: [ - -99.16581867356965, - -676.0759818186247, - -768.6183629349141, - -789.7519719852811, - -414.2873373741821, + -99.16581867357172, + -676.0759818186266, + -768.6183629349151, + -789.751971985281, + -453.0949190997498, ], 10: [ - -99.16581867356965, - -676.0759818186247, - -768.6183629349141, - -789.7519719852811, - -414.2873373741821, + -99.16581867357172, + -676.0759818186266, + -768.6183629349151, + -789.751971985281, + -453.0949190997498, ], } ref_val_Hq = { @@ -197,7 +196,7 @@ def test_Blumlein_3(): aS3 = A_singlet(N, sx_cache, nf, L) np.testing.assert_allclose( - aS3[0, 0], ref_val_gg[L][idx] + ref_val_a_gg[L][idx], rtol=3e-6 + aS3[0, 0], ref_val_gg[L][idx] + ref_val_a_gg[L][idx], rtol=9e-6 ) np.testing.assert_allclose(aS3[0, 1], ref_val_gq[L][idx], rtol=2e-6) @@ -209,9 +208,9 @@ def test_Blumlein_3(): np.testing.assert_allclose( aS3[2, 1], ref_val_Hq[L][idx], rtol=2e-5, atol=2e-6 ) - # np.testing.assert_allclose( - # aS3[1, 1], ref_val_qqNS[L][idx] + ref_val_qqPS[L][idx], rtol=2e-6 - # ) + np.testing.assert_allclose( + aS3[1, 1], ref_val_qqNS[L][idx] + ref_val_qqPS[L][idx], rtol=2e-6 + ) # Here we test the critical parts for idx, N in enumerate([2.0, 4.0, 6.0, 10.0, 100.0]):