python source code of test

prysm-master
- Examples
  - Thin Lens Models.ipynb
  - Estimating Effective Pixel Aperture_files
    - MTFMapperParser.py
    - edge_sfr_values_r.txt
  - MTF vs Code V.ipynb
  - LensRentals Blog
    - Lens Performance for High Res Video and Stills
- prysm
  - refractive.py
  - qpoly.py
  - coordinates.py
  - sample_data.py
  - zernike.py
  - util.py
  - convolution.py
  - psf.py
  - thinfilm.py
  - fttools.py
  - _phase.py
  - _richdata.py
  - objects.py
  - jacobi.py
  - geometry.py
  - detector.py
  - pupil.py
  - mtf_utils.py
  - interferogram.py
  - otf.py
  - propagation.py
  - thinlens.py
  - io.py
  - plotting.py
  - __init__.py
  - degredations.py
  - conf.py
  - mathops.py
  - wavelengths.py
- .pydocstyle
- .coveragerc
- sloccounts.csv
- readthedocs.yml
- paper
  - paper.md
  - paper.bib
- setup.py
- LICENSE.md
- sample_files
  - valid_sample_trioptics_mtf_vs_field.mht
- setup.cfg
- .travis.yml
- README.md
- tests
  - test_mtf_utils.py
  - test_degredations.py
  - test_plotting.py
  - test_samplefiles.py
  - test_psf.py
  - .pydocstyle
  - test_detector.py
  - test_thinfilm.py
  - test_coordinates.py
  - test_io.py
  - test_qpoly.py
  - test_physics.py
  - test_jacobi.py
  - test_convolution.py
  - test_otf.py
  - test_e2e.py
  - test_util.py
  - test_richdata.py
  - test_objects.py
  - test_propagation.py
  - test_config.py
  - test_pupil.py
  - test_refactive.py
  - __init__.py
  - test_geometry.py
  - test_zernike.py
  - test_fttools.py
  - test_interferogram.py
  - test_mathops.py
  - test_thinlens.py
- .gitignore
- docs
  - Makefile
  - source
    - examples
      - System Model.ipynb
      - Defocus and Contrast Inversion.ipynb
      - Diffraction Limited PSF and MTF.ipynb
      - Numerically Calculated Aberration Transfer Function.ipynb
      - Onion Ring Bokeh.ipynb
      - Split Transform Method.ipynb
      - Analysis of Interferometric Wavefront Data.ipynb
      - index.rst
    - api
      - wavelengths.rst
      - otf.rst
      - coordinates.rst
      - sample_data.rst
      - mtf_utils.rst
      - mathops.rst
      - io.rst
      - conf.rst
      - fttools.rst
      - geometry.rst
      - propagation.rst
      - util.rst
      - objects.rst
      - base_classes.rst
      - qpoly.rst
      - plotting.rst
      - detector.rst
      - refractive.rst
      - degredations.rst
      - zernike.rst
      - pupil.rst
      - index.rst
      - thinfilm.rst
      - convolution.rst
      - psf.rst
      - interferogram.rst
      - jacobi.rst
      - thinlens.rst
    - releases
      - v0.17.rst
      - v0.15.rst
      - v0.19.rst
      - v0.16.1.rst
      - v0.14.rst
      - v0.13.rst
      - v0.16.rst
      - v0.17.2.rst
      - index.rst
      - v0.18.rst
    - index.rst
    - conf.py
    - _static
    - contributing.rst
    - user_guide
      - Pupils.ipynb
      - MTFs.ipynb
      - Zernikes.ipynb
      - PSFs.ipynb
      - plotting.ipynb
      - Convolvables.ipynb
      - GPU and high speed computing.ipynb
      - index.rst
      - Interferograms.ipynb
      - slicing.ipynb
      - units-and-labels.ipynb
      - Conventions.ipynb
  - make.bat
  - requirements.txt
- MANIFEST.in

"""Jacobi submodule tests."""

import numpy as np

import pytest

from scipy.special import jacobi as sps_jac

from prysm import jacobi as pjac

@pytest.mark.parametrize('n', [0, 1, 2, 3, 4])
@pytest.mark.parametrize('alpha, beta', [
    (0,0),
    (1,1),
    (-0.75,0),
    (1,-0.75)])
def test_jacobi_1_4_match_scipy(n, alpha, beta):
    x = np.linspace(-1, 1, 32)
    prysm_ = pjac.jacobi(n=n, alpha=alpha, beta=beta, x=x)
    scipy_ = sps_jac(n=n, alpha=alpha, beta=beta)(x)
    assert np.allclose(prysm_, scipy_)