[33] Find Hermite Tail Approximations

[MothNik]

This pull request

💥 Breaking changes

• renames the approximations for the Hermite functions to indicate with coordinate (x or y) is approximated

• changes the import structure to make it good practice to call the approximations for the Hermite functions via

  from robust_fourier import hermite_approx
  
  x_fadeout = hermite_approx.x_fadeout(
      n=ORDER,
      alpha=ALPHA,
      x_center=MU,
  )
  # ... and so on

• made the kind of the Chebyshev polynomials a keyword-only argument (to make overloads consistent)

🦾 Features and Enhancements

• implements the approximation of the y-position of the largest extrema of the Hermite functions
• adds a Gaussian approximation that roughly describes the outermost oscillation of the Hermite functions towards their fadeout points

✅❌ Tests

• adds tests for the new approximations

🪛 Internal changes

• made checks of x-values for evaluations more flexible by allowing the specification of a dtype and a name after renaming it to a general grid point checker

Prepares for #33

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Files with missing lines	Coverage Δ
src/robust_fourier/__init__.py	100.00% <ø> (ø)
src/robust_fourier/_utils/__init__.py	100.00% <ø> (ø)
src/robust_fourier/_utils/_validate.py	100.00% <100.00%> (ø)
...t_fourier/chebyshev_polynomials/_func_interface.py	100.00% <100.00%> (ø)
src/robust_fourier/hermite_functions/__init__.py	100.00% <100.00%> (ø)
...obust_fourier/hermite_functions/_approximations.py	100.00% <100.00%> (ø)
...obust_fourier/hermite_functions/_func_interface.py	100.00% <ø> (ø)
...rmite_functions/_hermite_largest_extrema_spline.py	100.00% <ø> (ø)
...hermite_functions/_hermite_largest_roots_spline.py	100.00% <ø> (ø)
...mite_functions/_hermite_tail_gauss_sigma_spline.py	100.00% <100.00%> (ø)