292 lines
8.4 KiB
Python
Executable File
292 lines
8.4 KiB
Python
Executable File
#!/usr/bin/env python
|
|
|
|
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
# Copyright 2013 California Institute of Technology. ALL RIGHTS RESERVED.
|
|
#
|
|
# Licensed under the Apache License, Version 2.0 (the "License");
|
|
# you may not use this file except in compliance with the License.
|
|
# You may obtain a copy of the License at
|
|
#
|
|
# http://www.apache.org/licenses/LICENSE-2.0
|
|
#
|
|
# Unless required by applicable law or agreed to in writing, software
|
|
# distributed under the License is distributed on an "AS IS" BASIS,
|
|
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
# See the License for the specific language governing permissions and
|
|
# limitations under the License.
|
|
#
|
|
# United States Government Sponsorship acknowledged. This software is subject to
|
|
# U.S. export control laws and regulations and has been classified as 'EAR99 NLR'
|
|
# (No [Export] License Required except when exporting to an embargoed country,
|
|
# end user, or in support of a prohibited end use). By downloading this software,
|
|
# the user agrees to comply with all applicable U.S. export laws and regulations.
|
|
# The user has the responsibility to obtain export licenses, or other export
|
|
# authority as may be required before exporting this software to any 'EAR99'
|
|
# embargoed foreign country or citizen of those countries.
|
|
#
|
|
# Author: Piyush Agram
|
|
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
|
|
|
|
|
|
|
|
from iscesys.ImageApi import DataAccessor as DA
|
|
from isceobj.Util.Polynomial import Polynomial
|
|
from iscesys.Component.Component import Component
|
|
|
|
ERROR_CHECK_FINALIZE = False
|
|
WIDTH = Component.Parameter('_width',
|
|
public_name='width',
|
|
default = 0,
|
|
type=float,
|
|
mandatory=False,
|
|
doc="Width of the image associated with the polynomial"
|
|
)
|
|
LEGNTH = Component.Parameter('_length',
|
|
public_name='length',
|
|
default = 0,
|
|
type=float,
|
|
mandatory=False,
|
|
doc="Length of the image associated with the polynomial"
|
|
)
|
|
ORDER = Component.Parameter('_order',
|
|
public_name='order',
|
|
default = None,
|
|
type=int,
|
|
mandatory=False,
|
|
doc="Polynomial order"
|
|
)
|
|
|
|
NORM = Component.Parameter('_norm',
|
|
public_name='norm',
|
|
default = 1.,
|
|
type=float,
|
|
mandatory=False,
|
|
doc=""
|
|
)
|
|
MEAN = Component.Parameter('_mean',
|
|
public_name='mean',
|
|
default = 0.,
|
|
type=float,
|
|
mandatory=False,
|
|
doc=""
|
|
)
|
|
COEFFS = Component.Parameter('_coeffs',
|
|
public_name='coeffs',
|
|
default = [],
|
|
container=list,
|
|
type=float,
|
|
mandatory=False,
|
|
doc=""
|
|
)
|
|
class Poly1D(Polynomial):
|
|
'''
|
|
Class to store 1D polynomials in ISCE.
|
|
Implented as a list of coefficients:
|
|
|
|
[ 1, x^1, x^2, ...., x^n]
|
|
|
|
The size of the 1D list will correspond to
|
|
[order+1].
|
|
'''
|
|
family = 'poly1d'
|
|
parameter_list = (WIDTH,
|
|
LEGNTH,
|
|
ORDER,
|
|
NORM,
|
|
MEAN,
|
|
COEFFS)
|
|
|
|
def __init__(self, family='', name='', order=None, image=None,direction = 'x'):
|
|
'''
|
|
Constructor for the polynomial object. The base class Polynomial set width and length
|
|
if image not None.
|
|
direction 'x' or 'y'. 'x' the line width = image.width otherwise line width = image.length
|
|
Basically x is for range doppler and y for azimuth doppler
|
|
'''
|
|
#at the moment all poly work with doubles
|
|
self._dataSize = 8
|
|
super(Poly1D,self).__init__(family if family else self.__class__.family, name)
|
|
|
|
def initPoly(self, order=None, coeffs=None, image=None,direction = 'x'):
|
|
super(Poly1D,self).initPoly(image)
|
|
|
|
if(direction == 'y'):#swap direction
|
|
tmp = self._width
|
|
self._width = self._length
|
|
self._length = tmp
|
|
if coeffs:
|
|
import copy
|
|
self._coeffs = copy.deepcopy(coeffs)
|
|
self._order = int(order) if order else order
|
|
|
|
if (self._coeffs is not None) and (len(self._coeffs)>0):
|
|
self.createPoly1D()
|
|
|
|
return
|
|
|
|
def dump(self,filename):
|
|
from copy import deepcopy
|
|
toDump = deepcopy(self)
|
|
self._poly = None
|
|
self._accessor= None
|
|
self._factory = None
|
|
super(Poly1D,self).dump(filename)
|
|
#tried to do self = deepcopy(toDump) but did not work
|
|
self._poly = toDump._poly
|
|
self._accessor = toDump._accessor
|
|
self._factory = toDump._factory
|
|
|
|
def load(self,filename):
|
|
super(Poly1D,self).load(filename)
|
|
#recreate the pointer objcts _poly, _accessor, _factory
|
|
self.createPoly1D()
|
|
|
|
def setCoeffs(self, parms):
|
|
'''
|
|
Set the coefficients using another nested list.
|
|
'''
|
|
self._coeffs = [0. for j in parms]
|
|
for ii,row in enumerate(parms):
|
|
self._coeffs[ii] = float(row)
|
|
|
|
return
|
|
|
|
def getCoeffs(self):
|
|
return self._coeffs
|
|
|
|
def setNorm(self, parm):
|
|
self._norm = float(parm)
|
|
|
|
def setMean(self, parm):
|
|
self._mean = float(parm)
|
|
|
|
def getNorm(self):
|
|
return self._norm
|
|
|
|
def getMean(self):
|
|
return self._mean
|
|
|
|
def getWidth(self):
|
|
return self._width
|
|
|
|
def getLength(self):
|
|
return self._length
|
|
|
|
def __call__(self, rng):
|
|
'''
|
|
Evaluate the polynomial.
|
|
This is much slower than the C implementation - only for sparse usage.
|
|
'''
|
|
x = (rng - self._mean)/self._norm
|
|
res = 0.
|
|
for ii,row in enumerate(self._coeffs):
|
|
res += row * (x**ii)
|
|
|
|
return res
|
|
|
|
def exportToC(self):
|
|
'''
|
|
Use the extension module and return a pointer in C.
|
|
'''
|
|
from isceobj.Util import combinedlibmodule as CL
|
|
|
|
g = CL.exportPoly1DToC(self._order, self._mean, self._norm, self._coeffs)
|
|
|
|
return g
|
|
|
|
def importFromC(self, pointer, clean=True):
|
|
'''
|
|
Uses information from the extension module structure to create Python object.
|
|
'''
|
|
from isceobj.Util import combinedlibmodule as CL
|
|
|
|
order,mean,norm,coeffs = CL.importPoly1DFromC(pointer)
|
|
self._order = order
|
|
self._mean = mean
|
|
self._norm = norm
|
|
self._coeffs = coeffs.copy()
|
|
|
|
if clean:
|
|
CL.freeCPoly1D(pointer)
|
|
pass
|
|
|
|
def copy(self):
|
|
'''
|
|
Create a copy of the given polynomial instance.
|
|
Do not carry any associated image information.
|
|
Just the coefficients etc for scaling and manipulation.
|
|
'''
|
|
|
|
newObj = Poly1D()
|
|
g = self.exportToC()
|
|
newObj.importFromC(g)
|
|
return newObj
|
|
|
|
def createPoly1D(self):
|
|
if self._accessor is None:
|
|
self._poly = self.exportToC()
|
|
self._accessor, self._factory = DA.createPolyAccessor(self._poly,"poly1d",
|
|
self._width,self._length,self._dataSize)
|
|
else:
|
|
print('C pointer already created. Finalize and recreate if image dimensions changed.')
|
|
|
|
def finalize(self):
|
|
from isceobj.Util import combinedlibmodule as CL
|
|
CL.freeCPoly1D(self._poly)
|
|
try:
|
|
DA.finalizeAccessor(self._accessor, self._factory)
|
|
except TypeError:
|
|
message = "Poly1D %s is already finalized" % str(self)
|
|
if ERROR_CHECK_FINALIZE:
|
|
raise RuntimeError(message)
|
|
else:
|
|
print(message)
|
|
|
|
self._accessor = None
|
|
self._factory = None
|
|
return None
|
|
def polyfit(self, xin, yin, sig=None,cond=1.0e-12):
|
|
'''
|
|
Fit a 1D polynomial.
|
|
x = np.arange(5,85)
|
|
y = 1.23 + 4.5*x + 0.03*x*x
|
|
g = Poly1D(order=2)
|
|
g.polyfit(x,y)
|
|
|
|
print(g(5), g(8), g(11))
|
|
'''
|
|
|
|
import numpy as np
|
|
|
|
x = np.array(xin)
|
|
y = np.array(yin)
|
|
Npts = x.size
|
|
|
|
####Scale inputs
|
|
xmin = np.min(xin)
|
|
xnorm = np.max(xin) - xmin
|
|
|
|
if xnorm == 0:
|
|
xnorm = 1.0
|
|
|
|
x = (x-xmin)/xnorm
|
|
|
|
A = np.ones((Npts, self._order + 1))
|
|
|
|
for poww in range(1,self._order+1):
|
|
A[:,poww] = np.power(x, poww)
|
|
|
|
if sig is not None:
|
|
snr = 1.0 + 1.0/np.array(sig)
|
|
A = A /snr[:,None]
|
|
y = y/snr
|
|
|
|
val, res, rank, eigs = np.linalg.lstsq(A,y,rcond=cond)
|
|
if len(res) > 0:
|
|
print('Chi squared: %f'%(np.sqrt(res/(1.0*Npts))))
|
|
|
|
self.setCoeffs(val)
|
|
self.setMean(xmin)
|
|
self.setNorm(xnorm)
|