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otracks.py
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/
otracks.py
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#!/usr/bin/env python
# encoding: utf-8
from __future__ import division
from socket import gethostname
hostname = gethostname()
if 'foppl' in hostname:
import matplotlib
matplotlib.use("agg")
from math import sqrt
import numpy as np
from matplotlib import cm, pyplot as pl
import helpy
pi = np.pi
twopi = 2*pi
locdir = extdir = ''
if __name__=='__main__':
from argparse import ArgumentParser
p = ArgumentParser()
p.add_argument('prefix', metavar='PRE',
help="Filename prefix with full or relative path "
"(filenames prefix_POSITIONS.txt, "
"prefix_CORNER_POSITIONS.txt, etc)")
p.add_argument('-o','--orient', action='store_true',
help='Find the orientations and save')
p.add_argument('-n', '--ncorners', type=int, default=2,
help='Number of corner dots per particle. default = 2')
p.add_argument('-r', '--rcorner', type=float, required=True,
help='Distance to corner dot from central dot, in pixels.')
p.add_argument('--drcorner', type=float, default=-1,
help='Allowed error in r (rcorner), in pixels. Default is sqrt(r)')
p.add_argument('-p', '--plottracks', action='store_true',
help='Plot the tracks and orientations as vectors')
p.add_argument('-d', '--msd', action='store_true',
help='Calculate the MSAD')
p.add_argument('--plotmsd', action='store_true',
help='Plot the MSAD (requires --msd first)')
p.add_argument('--plotorient', action='store_true',
help='Plot the orientational trajectories')
p.add_argument('-s', '--side', type=float, default=1,
help='Particle size in pixels, for unit normalization')
p.add_argument('-f', '--fps', type=float, default=1,
help="Number of frames per second (or per shake) "
"for unit normalization")
p.add_argument('--dt0', type=int, default=1,
help='Stepsize for time-averaging of a single '
'track at different time starting points')
p.add_argument('--dtau', type=int, default=1,
help='Stepsize for values of tau '
'at which to calculate MSD(tau)')
p.add_argument('--killflat', type=int, default=0,
help='Minimum growth factor for a single MSD track '
'for it to be included')
p.add_argument('--killjump', type=int, default=100000,
help='Maximum initial jump for a single MSD track '
'at smallest time step')
p.add_argument('--singletracks', type=int, nargs='*', default=xrange(1000),
help='identify single track ids to plot')
p.add_argument('--showtracks', action='store_true',
help='Show individual tracks')
p.add_argument('-v', '--verbose', action='count',
help='Print verbosity')
args = p.parse_args()
prefix = args.prefix
#dotfix = '_CORNER' if args.corner else ''
S = args.side
if args.drcorner == -1:
args.drcorner= sqrt(args.rcorner)
ang = True
fps = args.fps
dtau = args.dtau
dt0 = args.dt0
verbose = args.verbose
if verbose:
print 'using prefix', prefix
else:
from warnings import filterwarnings
filterwarnings('ignore', category=RuntimeWarning, module='numpy')
filterwarnings('ignore', category=RuntimeWarning, module='scipy')
filterwarnings('ignore', category=RuntimeWarning, module='matpl')
else:
verbose = False
def load_from_npz(prefix, locdir=None):
""" given a prefix, returns:
data, cdata, odata, omask
[used in equilibrium.ipynb]
"""
if locdir is None:
from os import getcwd
locdir = getcwd() +'/'
odatanpz = np.load(locdir+prefix+'_ORIENTATION.npz')
return (np.load(locdir+prefix+'_POSITIONS.npz')['data'],
np.load(locdir+prefix+'_CORNER_POSITIONS.npz')['data'],
odatanpz['odata'], odatanpz['omask'])
def trackmsd(track, dt0, dtau, data, trackids, odata, omask, mod_2pi=False):
""" trackmsd(track, dt0, dtau, data, trackids, odata, omask)
finds the track msd, as function of tau, averaged over t0, for one track (worldline)
"""
tmask = (trackids==track) & omask
trackdots = data[tmask]
if mod_2pi:
trackodata = odata[tmask]['orient']
else:
from orientation import track_orient
trackodata = track_orient(odata, track, trackids, omask)
if dt0 == dtau == 1:
if verbose: print "Using correlation"
from correlation import msd as corrmsd
return corrmsd(trackodata, ret_taus=True)
trackbegin, trackend = trackdots['f'][[0,-1]]
tracklen = trackend - trackbegin + 1
if verbose:
print "tracklen =",tracklen
print "\t from %d to %d"%(trackbegin, trackend)
if isinstance(dtau, float):
taus = helpy.farange(dt0, tracklen, dtau)
elif isinstance(dtau, int):
taus = xrange(dtau, tracklen, dtau)
tmsd = []
for tau in taus: # for tau in T, by factor dtau
#print "tau =", tau
avg = t0avg(trackdots, tracklen, tau, trackodata, dt0, mod_2pi=mod_2pi)
#print "avg =", avg
if avg > 0 and not np.isnan(avg):
tmsd.append([tau,avg[0]])
if verbose:
print "\t...actually", len(tmsd)
return tmsd
def t0avg(trackdots, tracklen, tau, trackodata, dt0, mod_2pi=False):
""" t0avg() averages over all t0, for given track, given tau """
totsqdisp = 0.0
nt0s = 0.0
for t0 in np.arange(1,(tracklen-tau-1),dt0): # for t0 in (T - tau - 1), by dt0 stepsize
#print "t0=%d, tau=%d, t0+tau=%d, tracklen=%d"%(t0,tau,t0+tau,tracklen)
olddot = trackodata[trackdots['f']==t0]
newdot = trackodata[trackdots['f']==t0+tau]
if len(newdot) != 1 or len(olddot) != 1:
continue
if mod_2pi:
disp = (newdot - olddot) % twopi
if disp > pi:
disp -= twopi
else:
disp = newdot - olddot
sqdisp = disp**2
if len(sqdisp) == 1:
if verbose > 1: print 'unflattened'
totsqdisp += sqdisp
elif len(sqdisp[0]) == 1:
if verbose: print 'flattened once'
totsqdisp += sqdisp[0]
else:
if verbose: print "fail"
continue
nt0s += 1.0
return totsqdisp/nt0s if nt0s else None
def find_msds(dt0, dtau, data, trackids, odata, omask, tracks=None, mod_2pi=False):
""" Calculates the MSDs"""
print "Calculating MSADs with",
print "dtau = {}, dtau = {}".format(dt0, dtau)
msds = []
msdids = []
if tracks is None:
tracks = set(trackids[omask])
for trackid in tracks:
if verbose: print "calculating msd for track", trackid
tmsd = trackmsd(trackid, dt0, dtau, data, trackids, odata, omask, mod_2pi=mod_2pi)
if len(tmsd) > 1:
tmsdarr = np.asarray(tmsd)
msds.append(tmsd)
msdids.append(trackid)
np.savez(locdir+prefix+"_MSAD",
msds = np.asarray(msds),
msdids = np.asarray(msdids),
dt0 = np.asarray(dt0),
dtau = np.asarray(dtau))
print "saved msad data to", prefix+"_MSAD.npz"
return msds, msdids
if __name__=='__main__':
if True:
# assume existing tracks.npz
try:
tracksnpz = np.load(locdir+prefix+"_TRACKS.npz")
trackids = tracksnpz['trackids']
print "loading data and tracks from "+prefix+"_TRACKS.npz"
except IOError:
tracksnpz = np.load(locdir+prefix+"_POSITIONS.npz")
print "loading positions data from "+prefix+"_POSITIONS.npz"
data = tracksnpz['data']
if verbose: print "\t...loaded"
try:
cdatanpz = np.load(locdir+prefix+'_CORNER_POSITIONS.npz')
cdata = cdatanpz['data']
if verbose: print "\t...loaded"
except IOError:
print prefix+"_CORNER_POSITIONS.npz file not found, have you run `tracks -lc`?"
if args.orient:
print "calculating orientation data"
from orientation import get_angles_loop
odata, omask = get_angles_loop(data, cdata,
nc=args.ncorners, rc=args.rcorner, drc=args.drcorner)
np.savez(locdir+prefix+'_ORIENTATION.npz',
odata=odata, omask=omask)
if verbose: print '\t...saved'
else:
try:
odatanpz = np.load(locdir+prefix+'_ORIENTATION.npz')
odata = odatanpz['odata']
omask = odatanpz['omask']
except IOError:
print "Cannot find ORIENTATION.npz file, have you run `otracks -o`?"
if args.msd:
msds, msdids = find_msds(dt0, dtau, data, trackids, odata, omask)
elif args.plotmsd:
print "loading msd data from npz files"
msdnpz = np.load(locdir+prefix+"_MSAD.npz")
msds = msdnpz['msds']
try: msdids = msdnpz['msdids']
except KeyError: msdids = None
try:
dt0 = np.asscalar(msdnpz['dt0'])
dtau = np.asscalar(msdnpz['dtau'])
except KeyError:
dt0 = 10 # here's assuming...
dtau = 10 # should be true for all from before dt* was saved
if verbose: print "\t...loaded"
if __name__=='__main__':
if args.plotmsd:
if verbose: print 'plotting now!'
from tracks import plot_msd
plot_msd(msds, msdids, dtau, dt0, data['f'].max()+1, tnormalize=False,
prefix=prefix, show_tracks=args.showtracks,
singletracks=args.singletracks, fps=fps, S=S,
ang=True, kill_flats=args.killflat, kill_jumps=args.killjump*S*S)
if args.plotorient:
from orientation import plot_orient_time
plot_orient_time(data, odata, trackids, omask, singletracks=args.singletracks, save=locdir+prefix+'_ORIENTATION.pdf')
if args.plottracks:
from orientation import plot_orient_quiver
try:
bgimage = pl.imread(extdir+prefix+'_0001.tif')
except IOError:
try:
bgimage = pl.imread(locdir+prefix+'_001.tif')
except IOError:
bgimage = None
if args.singletracks:
mask = np.in1d(trackids, args.singletracks)
plot_orient_quiver(data, odata, mask=mask, imfile=bgimage)