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#!/usr/bin/env python3 | ||
# -*- coding: utf-8 -*- | ||
""" | ||
Copyright 2021 Albert Smith-Penzel | ||
This file is part of Frames Theory Archive (FTA). | ||
FTA is free software: you can redistribute it and/or modify | ||
it under the terms of the GNU General Public License as published by | ||
the Free Software Foundation, either version 3 of the License, or | ||
(at your option) any later version. | ||
FTA is distributed in the hope that it will be useful, | ||
but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
GNU General Public License for more details. | ||
You should have received a copy of the GNU General Public License | ||
along with FTA. If not, see <https://www.gnu.org/licenses/>. | ||
Questions, contact me at: | ||
albert.smith-penzel@medizin.uni-leipzig.de | ||
Created on Mon Sep 20 13:56:00 2021 | ||
@author: albertsmith | ||
""" | ||
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from pyDIFRATE.Struct import vf_tools as vft | ||
import numpy as np | ||
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def moving_avg(t,v,sigma): | ||
""" | ||
Moving average of a vector direction. Note that the output is NOT normalized, | ||
but the direction is correct | ||
""" | ||
nsteps=np.ceil((sigma/np.diff(t).min())*2).astype(int) #Cut off the average after 2*sigma | ||
return np.moveaxis([(np.exp(-(t0-t[np.max([0,k-nsteps]):k+nsteps+1])**2/(2*sigma**2))*\ | ||
v[:,:,np.max([0,k-nsteps]):k+nsteps+1]).sum(-1) for k,t0 in enumerate(t)],0,-1) | ||
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def AvgGauss(vecs,fr_ind,sigma=50): | ||
""" | ||
Takes a moving average of the frame direction, in order to remove librational | ||
motion (which tends to be correlated). Moving average is defined by a weighted | ||
Gaussian, defined in the units of the trajectory (usually ps, default here | ||
is 50). | ||
""" | ||
if sigma==0:return #Do nothing if sigma is 0 | ||
t=vecs['t'] | ||
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if np.ndim(vecs['v'][fr_ind])==4: | ||
vecs['v'][fr_ind]=np.array([moving_avg(t,v,sigma) for v in vecs['v'][fr_ind]]) | ||
else: | ||
vecs['v'][fr_ind]=moving_avg(t,vecs['v'][fr_ind],sigma) | ||
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def AvgHop(vecs,fr_ind,vr,sigma=50): | ||
""" | ||
Removes short traverses from hopping motion of a trajectory. sigma determines | ||
where to cut off short traverses (averaging performed with a Gaussian | ||
distribution, default is 50 ps, note that if trajectory uses a different unit, | ||
then this number will need to be adjusted). | ||
Note- needs to be run before any averaging is applied to the reference frame! | ||
""" | ||
if sigma==0:return #Do nothing if sigma is 0 | ||
t=vecs['t'] | ||
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v12s,v23s,v34s=[moving_avg(t,v,sigma) for v in vecs['v'][fr_ind]] | ||
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sc=vft.getFrame(v23s,v34s) | ||
v12s=np.moveaxis(vft.R(v12s,*vft.pass2act(*sc)),-1,0) | ||
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i=np.argmax([(vr0*v12s).sum(1) for vr0 in vr],axis=0) | ||
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v12s=vr[i,:,np.arange(i.shape[1])].T | ||
v12s=vft.R(v12s,*sc) | ||
vecs['v'][fr_ind]=np.array([v12s,v23s]) |
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