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dataset.py
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#!/usr/bin/env python
# encoding: utf-8
"""
dataset.py --- simplified replacement for old module; for legacy purposes only
(use gvar.dataset for new stuff).
"""
# Created by G. Peter Lepage, Cornell University, on 2012-05-22.
# Copyright (c) 2010-2012 G. Peter Lepage.
#
# This program 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
# any later version (see <http://www.gnu.org/licenses/>).
#
# This program 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.
import gvar
import numpy
def flexargfcn(f):
""" decorator for Dataset analysis functions """
def newf(self,arg=None):
if arg is not None:
if (hasattr(arg,"__hash__") and arg.__hash__ is not None
and arg in self):
return f(self,self[arg])
else:
ans = {}
for k in arg:
ans[k] = f(self,self[k])
return ans
else:
ans = {}
for k in self:
ans[k] = f(self,self[k])
return ans
##
newf.__doc__ = f.__doc__
return newf
##
class Dataset(gvar.dataset.Dataset):
""" legacy class --- don't use otherwise """
def __init__(self, *args,**kargs):
if 'bstrap' in kargs:
bstrap = kargs['bstrap']
del kargs['bstrap']
else:
bstrap = False
super(Dataset, self).__init__(*args,**kargs)
self.bstrap = bstrap
##
def copy(self,dlist):
if type(dlist) not in [list,tuple]:
dlist = [dlist]
for d in dlist:
self.extend(d)
##
def nmeas(self):
dlen = [len(self[k]) for k in self]
return min(dlen),max(dlen)
##
@flexargfcn
def avg(self,x):
return numpy.mean(x,axis=0)
##
@flexargfcn
def median(self,x):
return gvar.dataset.avg_data(x,median=True,spread=self.bstrap)
##
@flexargfcn
def sdev(self,x):
if self.bstrap:
return numpy.std(xx,axis=0)
else:
return numpy.std(xx,axis=0)/math.sqrt(len(xx))
##
@flexargfcn
def cov(self,d):
oldshape = d[0].shape
d = [di.flatten() for di in d]
# d = d.reshape((d.shape[0],-1)) # flatten all other dimensions
dcov = numpy.cov(d,rowvar=False,bias=True)
if self.bstrap:
return dcov.reshape(oldshape+oldshape)
else:
return dcov.reshape(oldshape+oldshape)/float(len(d))
##
def gdev(self,arg=None):
if arg is None:
arg = self.keys()
strip_ans = False
elif (hasattr(arg,'__hash__') and arg.__hash__ is not None
and arg in self):
arg = [arg]
strip_ans = True
if len(arg)==0:
return dict()
dd = dict()
for k in arg:
dd[k] = self[k]
ans = gvar.dataset.avg_data(dd,spread=self.bstrap)
return ans[arg[0]] if strip_ans else ans
##
def bin(self,nbin=2):
return gvar.bin_data(self,binsize=nbin)
##
def bootstrap_iter(self,n=None):
return gvar.dataset.bootstrap_iter(self,n)
##
def assemble(self,template,newtag=''):
ans = Dataset()
ans[newtag] = self.arrayzip(template)
return ans
##
def tabulate_avg(avgout,format=(6,3)):
""" Tabulates averages and standard deviations.
tabulate_avg(...) creates a nicely formatted table displaying the
output from functions like ``dataset.Dataset.gdev``. Here ``avgout`` is
the output. Parameter ``format`` specifies the output format:
``format=(N,D)`` implies that format ``'%N.Df(%Dd)'`` is used to print
``avg,int(10**D * std_dev)``. The table is returned as a single string,
for printing.
"""
table = []
output = avgout.items()
output.sort()
for tag,avsd in output:
try:
av = avsd.mean
sd = avsd.sdev
except AttributeError:
av = gvar.mean(avsd)
sd = gvar.sdev(avsd)
lines = ''
line = '%15s' % str(tag)
try:
sdfac = 10**format[1]
fmt = (' %'+str(format[0])+'.'+str(format[1])+
'f(%'+str(format[1])+'d)')
def avgfmt(av,sd,fmt=fmt,sdfac=sdfac):
try:
return fmt % (av,int(sdfac*sd+0.5))
except:
return (' %g (%.4g)' % (av,sd))
##
except:
def avgfmt(av,sd):
return (' %g (%.4g)' % (av,sd))
##
na = len(av)
if len(sd)<na:
na = len(sd)
if na>=1:
for i in xrange(na):
if len(sd.shape)==2:
sdi = math.sqrt(sd[i][i])
else:
sdi = sd[i]
nextfield = avgfmt(av[i],sdi)
if (len(nextfield)+len(line))>78:
lines = lines + line + '\n'
line = ''.ljust(15) + nextfield
else:
line = line + nextfield
table.append(lines + line +'\n')
return '\n'.join(table)
##
if __name__ == '__main__':
import gvar
gvar.ranseed((1950,1))
r1 = gvar.gvar(8.,1.)
r2 = gvar.gvar([-10.,-9.],[2.,3.])
r3 = gvar.gvar([[0.,1.],[2.,3.]],[[1.,2.],[3.,4.]])
r3_iter = gvar.raniter(r3)
r2_iter = gvar.raniter(r2)
N = 1001
d = Dataset(bstrap=False)
for x in range(N):
d.append('x',r3_iter.next())
for x in range(N):
d.append('y',r2_iter.next())
d2 = Dataset(bstrap=False)
for x in range(N):
d2.append('z',r1())
d.copy(d2)
med = d.gdev()
for k in med:
print( k,med[k])
avg = d.avg()
for k in avg:
print( k,avg)
print( d.nmeas())
nd = d.assemble(['y','y'],'yy')
print( nd.avg())
nd = d.grep('x|y')
print( nd.keys())
output = """
y [-10.0069 +- 0.00632473 -8.98159 +- 0.00949937]
x [[-0.00311314 +- 0.00316463 1.00027 +- 0.00634238]
[2.00083 +- 0.00950991 2.99893 +- 0.0126476]]
z 8.00641 +- 0.00315755
""" # 15.5 sec with N = 100001