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🐈 Automatic differentiable spectrum modeling of exoplanets/brown dwarfs using JAX, compatible with NumPyro and JAXopt

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Release branch for [v1.2](https://github.com/HajimeKawahara/exojax/milestone/3). I will merge this branch to `master` and release v1.2 in **November 21st** unless any serious issues are found. Comments and reviews welcome for anyone! -...

I'd like to make the THEORETS I/O maybe in radis.api. https://theorets.tsu.ru/

enhancement

[Commented](https://github.com/HajimeKawahara/exojax/issues/314#issuecomment-1309887464) by @erwanp. Consider replacing some parts in PreMODIT to use Vaex directly. I need to get a little more familiar with Vaex though.

experimental

related to https://github.com/HajimeKawahara/exojax/pull/313#issuecomment-1321363332 and https://github.com/HajimeKawahara/exojax/pull/313#discussion_r1027280614, we need to consider how we control device memory use when calling api.Mdb.

enhancement

Previously, I estimated a maximum error of delta E_lower. But, it looks too pessimistic. To reduce more memory use, we need to rethink it.

enhancement
experimental

I feel that the inverse T grid should be tried as one of the LBD grids instead of Elower. tag: Precomputation+T inverse+MODIT ### maybe good - less sparse than E-grid...

experimental

For a wide range data, we need a wavenumber dependent IP convolution to spectra.

enhancement

In Paper I, we used 2 E_3 as a pure absorption transmission T, but not tried a numerical integral of mu e^-dtau/mu, for instance, using Gaussian quadrature etc, which might...

During implementation of PreMODIT, I found that jax.lax.scan in modit.xsmatrix can be replaced by vmap. But not sure everything is OK and/or vmap is better than scan. I will check...

During the review of #265 , we found that there is non-reproducibility of radiative transfer results for MODIT and PreMODIT. This can be confirmed by the unit tests: - exojax/tests/unittests/spec/modit/modit_test.py...

bug