[Relm-Arrowny]

Fixes #407

Changes

• Add 1D scan analysis utilities in sm_bluesky.common.math:
  • fit_gaussian (Gaussian + linear background via lmfit)
  • calculate_com (centre of mass with optional baseline subtraction)
  • calculate_derivatives (1st/2nd derivatives, min/max slopes, and zero crossings)
• Added scan fitting into src/sm_bluesky/common/clients/blueapi_session.py:
  • Auto-analyse scans on completion (auto_analyse=True) and added fitting result in to cached data.
  • Added fit_scan(), set_fit_axes(), and last_fit (centre, com, max_slope_x, min_slope_x, 'zero_crossings`) in the interactive IPython shell for scripting.
• Filter scalar data and derived curves in InteractivePlotWindow for 1D and 2D plot modes.
• Add unit tests and update the BlueAPISession tutorial documentation.

Instructions to reviewer on how to test:

1. Ensure test pass can correctly test the behaviours.
2. Try out the live ploting ensure fitting works and user "friendly enough".

Checks for reviewer

• Would the PR title make sense to a user on a set of release notes

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 100.00%. Comparing base (e448663) to head (f7e83d0).

Additional details and impacted files

@@            Coverage Diff             @@
##              main      #440    +/-   ##
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  Coverage   100.00%   100.00%            
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  Files           40        41     +1     
  Lines         1916      2057   +141     
==========================================
+ Hits          1916      2057   +141     

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[DanPorter]

This looks like a great addition and provides the useful requested fitting capability.

I haven't tested this yet so will do so before approving, but I've also left some comments and queries that should be addressed.