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Key:
    - To do
    p Partially done
    ^ Done
    ? Not sure if it's done

- write cross section section in paper
- explain integral in paper
- develop signal generator
p develop high energy and multi-ring fitter
^ write talk for Monday
- write a section on atmospheric backgrounds in paper
^ check index of refraction calculation against tables in the paper
^ write more tests for the solid angle calculation
    - use table from paper
^ make sure normal direction is normalized
^ speed up likelihood calculation
    - rotate and translate path points in path_init
    - create fast interp1d for equally spaced points
    - optimize with -O2
    - only calculate average time if mu_direct[i] is not too small and PMT is
      hit
    - add likelihood function which calculates total expected charge and only
      loops over hit PMTs
    - add fast likelihood which doesn't use a 2D lookup table
- add function to compute the Hessian via finite differences
- add function to calculate covariance matrix
- add function to compute the approximate volume in the likelihood space where
  the likelihood is greater than some value
^ add output to likelihood
^ add a set of seed points to start the likelihood
^ minimize the likelihood in a do while loop until it converges to a single
  point
^ once the first position is found, compute the Hough transform to look for
  other rings
p add rayleigh scattering to likelihood function
    - Done, but it's pretty hacky
p add muon shower PDF? delta rays?
    - Done for delta rays, but need to add shower photons
- calculate path length through acrylic?
- update estar table with energies above 1 GeV
^ speed up normalize() and interp1d()
^ add shower PDF to get_total_charge_approx()
x compute mean of starting points
^ speed up time PDF calculation for fast likelihood
p calculate psi parameter as a goodness of fit test
    - Still need to tweak this. It seems to have a strong nhit dependence
- add a maximum length for the range
^ add a time limit for the fit
^ multi-particle fit
p optimize CHARGE_FRACTION
? find out why likelihood is sometimes returning nan
^ add pdf for cerenkov light from delta rays
- tweak find peaks algorithm
^ update zebra to allow use of links
- minimum energy for each particle type
^ check all zebra links
^ fix zero logical record size bug in zebra.c
- speed up fit
^ nhit cut
p add flasher cut
- default max particles
^ add environment variable to control where to look for pmt.txt and titles files
- update charge code to handle highest values for qhs and qlx
- use qhs and qlx based on variable in PMT bank
^ fix bug in path_init()
^ load DQXX file based on run number
^ update rayleigh scattering lengths
^ fix delta ray calculation
p figure out why electron energy bias is +10%
    - updated code to use a more accurate approximation for the number of
      shower photons which seems to bring the bias down to 5%
- update find peaks algorithm to do single particle quick fits