'''
This module extends the power spectrum down to lower and higher k,
by calculating the power law index at both ends of the array. The extension is to
help with edge effects and should be removed when returned from FASTPT.
J.E. McEwen (c) 2016
mcewen.24@osu.edu
'''
import numpy as np
from numpy import log, exp, log10
import sys
class k_extend:
def __init__(self,k,low=None,high=None):
self.DL=log(k[1])-log(k[0])
if low is not None:
N=np.absolute(int((log10(k[0])-low)/self.DL))
# if N is even add one more point, because when
# np.arange(1,N) is added, it will result in an
# even number of grid points
if (N % 2 == 0 ):
N=N+1
s=log(k[0]) - np.arange(1,N)*self.DL
s=s[::-1]
self.k_min=k[0]
self.k_low=exp(s)
self.k=np.append(self.k_low,k)
self.id_extrap=np.where(self.k >=self.k_min)[0]
k=self.k
if high is not None:
N=np.absolute(int((log10(k[-1])-high)/self.DL))
# if N is even add one more point, because when
# np.arange(1,N) is added, it will result in an
# even number of grid points
if (N % 2 == 0 ):
N=N+1
s=log(k[-1]) + np.arange(1,N)*self.DL
self.k_max=k[-1]
self.k_high=exp(s)
self.k=np.append(k,self.k_high)
self.id_extrap=np.where(self.k <= self.k_max)[0]
if (high is not None) & (low is not None):
self.id_extrap=np.where((self.k <= self.k_max) & (self.k >=self.k_min))[0]
def extrap_k(self):
return self.k
def extrap_P_low(self,P):
ns=(log(P[1])-log(P[0]))/self.DL
Amp=P[0]/self.k_min**ns
P_low=self.k_low**ns*Amp
return np.append(P_low,P)
def extrap_P_high(self,P):
ns=(log(P[-1])-log(P[-2]))/self.DL
Amp=P[-1]/self.k_max**ns
P_high=self.k_high**ns*Amp
return np.append(P,P_high)
def PK_orginal(self,P):
return self.k[self.id_extrap], P[self.id_extrap]