├── .all-contributorsrc ├── .git_archival.txt ├── .gitattributes ├── .github ├── ISSUE_TEMPLATE │ ├── bug_report.yml │ ├── config.yml │ └── feature_request.yml ├── PULL_REQUEST_TEMPLATE.md ├── codecov.yml ├── dependabot.yml ├── matchers │ └── pylint.json └── workflows │ ├── cd.yml │ ├── ci.yml │ └── notebooks.yml ├── .gitignore ├── .pre-commit-config.yaml ├── .readthedocs.yml ├── CITATION.cff ├── CONTRIBUTING.md ├── LICENSE ├── README.md ├── docs ├── Makefile ├── _images │ ├── LogoSrc.svg │ ├── coordinate-systems.png │ ├── coordinate-systems.svg │ └── vector-logo.png ├── _static │ └── css │ │ └── awkward_output.css ├── conf.py ├── index.md ├── make.bat └── src │ ├── awkward.ipynb │ ├── common.md │ ├── make_awkward.md │ ├── make_numpy.md │ ├── make_object.md │ ├── make_sympy.md │ ├── momentum2d.md │ ├── momentum3d.md │ ├── momentum4d.md │ ├── numba.ipynb │ ├── numpy.ipynb │ ├── object.ipynb │ ├── pytree.ipynb │ ├── pytree_api.md │ ├── sympy.ipynb │ ├── talks.md │ ├── vector2d.md │ ├── vector3d.md │ └── vector4d.md ├── environment.yml ├── noxfile.py ├── pyproject.toml ├── src └── vector │ ├── __init__.py │ ├── _compute │ ├── __init__.py │ ├── lorentz │ │ ├── Et.py │ │ ├── Et2.py │ │ ├── Mt.py │ │ ├── Mt2.py │ │ ├── __init__.py │ │ ├── add.py │ │ ├── beta.py │ │ ├── boostX_beta.py │ │ ├── boostX_gamma.py │ │ ├── boostY_beta.py │ │ ├── boostY_gamma.py │ │ ├── boostZ_beta.py │ │ ├── boostZ_gamma.py │ │ ├── boost_beta3.py │ │ ├── boost_p4.py │ │ ├── deltaRapidityPhi.py │ │ ├── deltaRapidityPhi2.py │ │ ├── dot.py │ │ ├── equal.py │ │ ├── gamma.py │ │ ├── is_lightlike.py │ │ ├── is_spacelike.py │ │ ├── is_timelike.py │ │ ├── isclose.py │ │ ├── not_equal.py │ │ ├── rapidity.py │ │ ├── scale.py │ │ ├── subtract.py │ │ ├── t.py │ │ ├── t2.py │ │ ├── tau.py │ │ ├── tau2.py │ │ ├── to_beta3.py │ │ ├── transform4D.py │ │ └── unit.py │ ├── planar │ │ ├── __init__.py │ │ ├── add.py │ │ ├── deltaphi.py │ │ ├── dot.py │ │ ├── equal.py │ │ ├── is_antiparallel.py │ │ ├── is_parallel.py │ │ ├── is_perpendicular.py │ │ ├── isclose.py │ │ ├── not_equal.py │ │ ├── phi.py │ │ ├── rho.py │ │ ├── rho2.py │ │ ├── rotateZ.py │ │ ├── scale.py │ │ ├── subtract.py │ │ ├── transform2D.py │ │ ├── unit.py │ │ ├── x.py │ │ └── y.py │ └── spatial │ │ ├── __init__.py │ │ ├── add.py │ │ ├── costheta.py │ │ ├── cottheta.py │ │ ├── cross.py │ │ ├── deltaR.py │ │ ├── deltaR2.py │ │ ├── deltaangle.py │ │ ├── deltaeta.py │ │ ├── dot.py │ │ ├── equal.py │ │ ├── eta.py │ │ ├── is_antiparallel.py │ │ ├── is_parallel.py │ │ ├── is_perpendicular.py │ │ ├── isclose.py │ │ ├── mag.py │ │ ├── mag2.py │ │ ├── not_equal.py │ │ ├── rotateX.py │ │ ├── rotateY.py │ │ ├── rotate_axis.py │ │ ├── rotate_euler.py │ │ ├── rotate_quaternion.py │ │ ├── scale.py │ │ ├── subtract.py │ │ ├── theta.py │ │ ├── transform3D.py │ │ ├── unit.py │ │ └── z.py │ ├── _methods.py │ ├── _pytree.py │ ├── _typeutils.py │ ├── _version.pyi │ ├── backends │ ├── __init__.py │ ├── _numba.py │ ├── _numba_object.py │ ├── awkward.py │ ├── awkward_constructors.py │ ├── numba_numpy.py │ ├── numpy.py │ ├── object.py │ └── sympy.py │ └── py.typed └── tests ├── __init__.py ├── backends ├── __init__.py ├── test_awkward.py ├── test_awkward_numba.py ├── test_dask_awkward.py ├── test_numba_numpy.py ├── test_numba_object.py ├── test_numpy.py ├── test_object.py ├── test_operators.py └── test_sympy.py ├── compute ├── __init__.py ├── lorentz │ ├── __init__.py │ ├── test_Et.py │ ├── test_Et2.py │ ├── test_Mt.py │ ├── test_Mt2.py │ ├── test_beta.py │ ├── test_boostX_beta.py │ ├── test_boostX_gamma.py │ ├── test_boostY_beta.py │ ├── test_boostY_gamma.py │ ├── test_boostZ_beta.py │ ├── test_boostZ_gamma.py │ ├── test_boost_beta3.py │ ├── test_boost_p4.py │ ├── test_deltaRapidityPhi.py │ ├── test_deltaRapidityPhi2.py │ ├── test_gamma.py │ ├── test_is_lightlike.py │ ├── test_is_spacelike.py │ ├── test_is_timelike.py │ ├── test_rapidity.py │ ├── test_t.py │ ├── test_t2.py │ ├── test_tau.py │ ├── test_tau2.py │ └── test_to_beta3.py ├── planar │ ├── __init__.py │ ├── test_deltaphi.py │ ├── test_phi.py │ ├── test_rho.py │ ├── test_rho2.py │ ├── test_rotateZ.py │ ├── test_x.py │ └── test_y.py ├── spatial │ ├── __init__.py │ ├── test_costheta.py │ ├── test_cottheta.py │ ├── test_cross.py │ ├── test_deltaR.py │ ├── test_deltaR2.py │ ├── test_deltaangle.py │ ├── test_deltaeta.py │ ├── test_eta.py │ ├── test_mag.py │ ├── test_mag2.py │ ├── test_rotateX.py │ ├── test_rotateY.py │ ├── test_rotate_axis.py │ ├── test_rotate_euler.py │ ├── test_rotate_quaternion.py │ ├── test_theta.py │ └── test_z.py ├── sympy │ ├── lorentz │ │ ├── __init__.py │ │ ├── test_Et.py │ │ ├── test_Et2.py │ │ ├── test_Mt.py │ │ ├── test_Mt2.py │ │ ├── test_beta.py │ │ ├── test_boostX_beta.py │ │ ├── test_boostX_gamma.py │ │ ├── test_boostY_beta.py │ │ ├── test_boostY_gamma.py │ │ ├── test_boostZ_beta.py │ │ ├── test_boostZ_gamma.py │ │ ├── test_boost_beta3.py │ │ ├── test_boost_p4.py │ │ ├── test_deltaRapidityPhi.py │ │ ├── test_deltaRapidityPhi2.py │ │ ├── test_gamma.py │ │ ├── test_is_lightlike.py │ │ ├── test_is_spacelike.py │ │ ├── test_is_timelike.py │ │ ├── test_rapidity.py │ │ ├── test_t.py │ │ ├── test_t2.py │ │ ├── test_tau.py │ │ ├── test_tau2.py │ │ └── test_to_beta3.py │ ├── planar │ │ ├── __init__.py │ │ ├── test_deltaphi.py │ │ ├── test_phi.py │ │ ├── test_rho.py │ │ ├── test_rho2.py │ │ ├── test_rotateZ.py │ │ ├── test_x.py │ │ └── test_y.py │ ├── spatial │ │ ├── __init__.py │ │ ├── test_costheta.py │ │ ├── test_cottheta.py │ │ ├── test_cross.py │ │ ├── test_deltaR.py │ │ ├── test_deltaR2.py │ │ ├── test_deltaangle.py │ │ ├── test_deltaeta.py │ │ ├── test_eta.py │ │ ├── test_mag.py │ │ ├── test_mag2.py │ │ ├── test_rotateX.py │ │ ├── test_rotateY.py │ │ ├── test_rotate_axis.py │ │ ├── test_rotate_euler.py │ │ ├── test_rotate_quaternion.py │ │ ├── test_theta.py │ │ └── test_z.py │ ├── test_add.py │ ├── test_conversions.py │ ├── test_dot.py │ ├── test_equal.py │ ├── test_is_antiparallel.py │ 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