def multipoint(dang,wids,weig=None,repeaf=None,xpts=None,ypts=None,poly_deg=2,alog=None,aform='UV_%i',rep=0,check=False,dowid=True):
global ualc
from numpy import array,abs,polyfit,polyval,dot,ones,arange,iterable
if alog!=None: #evaluate function fitted to measured values
if iterable(alog):
ualc=alog
else:
valc=[polyfit(alog.base,alog[aform%i],poly_deg) for i in dang]
if type(xpts)==list: xpts=alog.base[xpts]
ualc=array([polyval(a,xpts) for a in valc])
if rep==1: return xpts,ualc
print('fitted for polynom deg %i'%poly_deg)
if check:
for j in range(len(dang)):
print('ang %i:chi2 %.4f'%(dang[j],sum((polyval(valc[j],alog.base)-alog[aform%dang[j]])**2)))
if weig==None: weig=ones(len(dang))
if ypts!=None: #p0=list(ypts.real.flat)+list(ypts.imag.flat)+list(wids)
p0=list(array([ypts.real,ypts.imag]).swapaxes(0,2).swapaxes(0,1).flat)+wids
neps=len(ypts)
else:
p0=None
neps=len(wids)+1
if repeaf==None: repeaf=arange(neps)
#print 'shape:',neps,len(xpts),2
feps=lambda p:dot(array(p[:neps*len(xpts)*2]).reshape(neps,len(xpts),2),array([1,1j]))
if dowid:
from ellipse import calc_ellips_plate
wfit=lambda p:sum([sum(abs(calc_ellips_plate(xpts,feps(p)[repeaf],p[-len(wids):],ang=dang[i],rep=0,corr='pos')-ualc[i]))*weig[i] for i in range(len(dang))])
return wfit,p0
else:
wfit=lambda p:sum([sum(abs(calc_ellips_plate(xpts,feps(p)[repeaf],wids,ang=dang[i],rep=0,corr='pos')-ualc[i]))*weig[i] for i in range(len(dang))])
return wfit,p0[:-len(wids)]
def selpoint(x,
meas,
epsil=[10 + 4j, 2.5, 10 + 2j],
vari=[1, 0, 2],
wid=[230, 60.],
angs=[60, 70, 80],
rep=0):
global plout
from numpy import zeros, dot, array
vepsil = zeros((len(epsil), max(vari)))
for i in range(len(vari)):
if vari[i] > 0: vepsil[i, vari[i] - 1] = 1
fuc = lambda p, k: array([
calc_ellips_plate(x[k], epsil + dot(vepsil, p), wid, rep=0, ang=a)
for a in angs
])
if rep == 1: return fuc
from scipy import optimize
plout = [zeros(max(vari))]
out = []
for k in range(len(meas)):
plout.append(
optimize.fmin(lambda p: sum(abs(fuc(p, k) - meas[k])), plout[-1]))
out.append(sum(abs(fuc(plout[-1], k) - meas[k])))
return out
def ptbypt(meas,dang,freq,nlay=1):
'''gets epsilon and layer thickness from ellips. measurements at different angles
point-by-point
'''
dfit=lambda p,w:sum([abs(calc_ellips_plate(freq,p,w,ang=dang[i],rep=0)-meas[i])**2 for i in range(len(dang))])
wfit=lambda q:dfit([q[i]+1j*q[i+1] for i in range(nlay+1)],q[-nlay:])
return wfit
def ptbypt(meas, dang, freq, nlay=1):
'''gets epsilon and layer thickness from ellips. measurements at different angles
point-by-point
'''
dfit = lambda p, w: sum([
abs(calc_ellips_plate(freq, p, w, ang=dang[i], rep=0) - meas[i])**2
for i in range(len(dang))
])
wfit = lambda q: dfit([q[i] + 1j * q[i + 1]
for i in range(nlay + 1)], q[-nlay:])
return wfit
def selpoint(x,meas,epsil=[10+4j,2.5,10+2j],vari=[1,0,2],wid=[230,60.],angs=[60,70,80],rep=0): global plout from numpy import zeros,dot,array vepsil=zeros((len(epsil),max(vari))) for i in range(len(vari)): if vari[i]>0:vepsil[i,vari[i]-1]=1 fuc=lambda p,k:array([calc_ellips_plate(x[k],epsil+dot(vepsil,p),wid,rep=0,ang=a) for a in angs]) if rep==1: return fuc from scipy import optimize plout=[zeros(max(vari))] out=[] for k in range(len(meas)): plout.append(optimize.fmin(lambda p:sum(abs(fuc(p,k)-meas[k])),plout[-1])) out.append(sum(abs(fuc(plout[-1],k)-meas[k]))) return out
def multipoint(dang,
wids,
weig=None,
repeaf=None,
xpts=None,
ypts=None,
poly_deg=2,
alog=None,
aform='UV_%i',
rep=0,
check=False,
dowid=True):
global ualc
from numpy import array, abs, polyfit, polyval, dot, ones, arange, iterable
if alog != None: #evaluate function fitted to measured values
if iterable(alog):
ualc = alog
else:
valc = [
polyfit(alog.base, alog[aform % i], poly_deg) for i in dang
]
if type(xpts) == list: xpts = alog.base[xpts]
ualc = array([polyval(a, xpts) for a in valc])
if rep == 1: return xpts, ualc
print('fitted for polynom deg %i' % poly_deg)
if check:
for j in range(len(dang)):
print('ang %i:chi2 %.4f' %
(dang[j],
sum((polyval(valc[j], alog.base) -
alog[aform % dang[j]])**2)))
if weig == None: weig = ones(len(dang))
if ypts != None: #p0=list(ypts.real.flat)+list(ypts.imag.flat)+list(wids)
p0 = list(
array([ypts.real, ypts.imag]).swapaxes(0, 2).swapaxes(
0, 1).flat) + wids
neps = len(ypts)
else:
p0 = None
neps = len(wids) + 1
if repeaf == None: repeaf = arange(neps)
#print 'shape:',neps,len(xpts),2
feps = lambda p: dot(
array(p[:neps * len(xpts) * 2]).reshape(neps, len(xpts), 2),
array([1, 1j]))
if dowid:
from ellipse import calc_ellips_plate
wfit = lambda p: sum([
sum(
abs(
calc_ellips_plate(xpts,
feps(p)[repeaf],
p[-len(wids):],
ang=dang[i],
rep=0,
corr='pos') - ualc[i])) * weig[i]
for i in range(len(dang))
])
return wfit, p0
else:
wfit = lambda p: sum([
sum(
abs(
calc_ellips_plate(xpts,
feps(p)[repeaf],
wids,
ang=dang[i],
rep=0,
corr='pos') - ualc[i])) * weig[i]
for i in range(len(dang))
])
return wfit, p0[:-len(wids)]
