Defining projection helper function for Lune and Sphere data visualization.

Define function to compute intermediate points along a line between specific coordinates pairs. This will make sure the arcs are correctly bent in the projected coordinate system (hammer projection).

Hard-coding lune arc coordinates for lambda1,2,3 = 0. Lines are populated by _compute_center_of_minimum_distance and plotted with _plot_lune_arcs using the hammer projection.

Hard-coding sphere meridians for W - S - E directions. Lines are populated by _compute_center_of_minimum_distance and plotted with _plot_sphere_arcs using the hammer projection. Labels are added with _plot_directions_text.

This function returns a figure and axes object with the lune frame, ready for plotting used by other functions.
It uses the helper functions previously defined, and the hammer projection function.

This function returns a figure and axes object with the unit sphere frame, ready for plotting used by other functions. As with the lune, It uses the helper functions previously defined, and the hammer projection function.

Pure matplotlib implementation of the Lune plot. It uses the pre-defined helper functions implemented in previous commits. The lune plot has three different modes, contour being the equivalent to the current GMT plot. colormesh and scatter mode are implemented with sampling method and polarity misfit, respectively.

Fairly similar in design to the lune plot backend. Disclaimer: it has been tested but not to the same extent as the lune plot. Main features seems stable, but I will review if anything comes up.

Implemented pure-matplotlib moment tensor plot. It is based on the computation of the radiation coefficient on a 3D half-sphere, and projected on the 2D plane with lambert azimuthal equal area projection.
Currently supports waveform plots and base beachball plot with station and piercing points.

…otlib

This commit integrates two different features:
Adding the option to input several moment tensors to plot on a map fashion (used in lune plot and depth plot).
Adding a "Level of detail" kind of optimization to adapt rendering speed depending on the size of the plotted beachball (single figure, or multiple beachball on a plot).

Also removed debug prints.

The plot requires using a double axes trick, as the beachball pattern are not converted into markers or symbol, they can be stretched if the axes are not the same order of magnitude.
A secondary axis with unit extent (-1,1 / -1,1) is overlayed on the base figure, and the coordinates of the points (depths/values) are re-scaled accordingly, so that the beachballs are always perfect circles.

…is feature branch

I wanted to have the feature branch with the new header modification. This is mostly as I will use the uq_matplotlib branch for the 2024 MTUQ SCOPED workshop, before opening a Pull Request.

Passed title back as a kwarg and added the possibility to modify the colorbar label (which I have set to l2_misfit as default value). Reproduces all the DetailedAnalysis.py plots.

Changed the call of _plot_force() to actually use the backend variable instead of the hardcoded _plot_force_gmt() function. Use the "levels" variable in the matplotlib backend instead of the fixed value as 126 (which was for testing purposes).

The beachball plot now support both the "Big beachball" mode as well as polarity plotting. Some functions from the beachball plotting engine have been moved to utilities.

With improvements mades on the beachball plot, the scaling factor of various figures were also updated, and should now be consistent regardless of the axes extents. (The scale being automatically adjusted to account for the axes extent).

This now takes advantage of the dedicated polarity mode of the matplotlib backend.

Increased default marker size for better readability.

The latitude and longitude were swapped in scatter mode of moment tensor plot. I somehow circumvented the issue by also swapping the inputs which hid the discrepancy until this fix. All MT tradeoffs figures have been re-tested.

Added a warning message that displays when the script is used.

_plot_latlon_matplotlib has been moved to be right after _plot_depth_matplotlib.

Implemented warning message for beachball plotting.

Added a custom warning message for beachball plot, since it is not a "conventional" implementation a-la psmeca.

I added a parabola to the depth plot, with an estimate of the best fitting depth at the minimum of the parabola. It will print the best value and the ± error from a 5% uncertainty threshold.

…the 3D projection.

I originally had the axes for the sphere projection be separate from the moment tensor

…s.py and Waveforms+Polarities.py