def harmplotterGNU(bw,harms,mode="NONE"):
"""GNUPlot some harmonics"""
import Gnuplot, Gnuplot.funcutils
g=Gnuplot.Gnuplot()
g.title('Input Data')
y=array(SHT.azimuthal_measurement_points(bw))
x=array(SHT.declination_measurement_points(bw))
g('set parametric')
g('set xrange [0:pi]')
g('set yrange [0:2*pi]')
g('set data style lines')
g('set hidden3d')
# g('set pm3d')
g('set contour base')
g.xlabel('theta (declination)')
g.ylabel('phi (azimuth)')
class funcboy:
def __init__(self,harms,mode="NONE"):
self.harms=harms
self.mode=mode
def val(self,theta,phi):
d,rdata=SHT.harmonizer([(theta,phi)],self.harms,mode=self.mode)
result=float(rdata[0])
return result
f=funcboy(harms,mode=mode)
g.splot(Gnuplot.funcutils.compute_GridData(x,y,f.val))#GridData(m,x,y))
raw_input('Please press return to continue...\n')
def NSSHT(bw,points,
rdata,
mode="COS_SIN",
RSphere=1.0, #This is the sphere that the points would
#would be on if they were not constrained
#to a cylinder
harmtype='_{n}^{m}',
returnIntermediates=False):
""" given a bandwidth, and some real data collected at a number of data points this should return the
Spherical Harmonic Transform using the Pseudo-Inverse"""
indicies=SHT.genindicies_top(bw)
harms=UnityWeight_COSSIN_Harmonics(indicies,
harmtype=harmtype,
RSphere=RSphere)
M=matrixbuilder(harms,points)
Minv=p_inv(M)
tmp=dot(Minv,rdata)
# Since the result is in a form
# T,Tprime,T,Tprime we reorganize it
# to be like (T,Tprime),(T,Tprime),...
Q=[]
for i in range(len(tmp)):
if is_odd(i):
Q.append((tmp[i-1],tmp[i]))
cos_sinresult=zip(indicies,Q)
if mode=="COS_SIN":
if returnIntermediates:
return cos_sinresult,tmp,M,Minv
else:
return cos_sinresult
else:
print "I have not thought of this yet, maybe later"
raise Exception
def fieldfind(R, HelixSegList, filename):
harmonicBW = 12
RSphereList = [R, 0.95 * R, 0.5 * R, 0.25 * R]
Big_rvect, Big_zvect, Big_fieldBox = Boxfieldfind(R, HelixSegList)
Small_rvect, Small_zvect, Small_fieldBox = Boxfieldfind(R, HelixSegList, BoxSize=R)
theta_phi_points = SHT.measurement_points(harmonicBW)
BFieldonSpheres = [Sphericalfieldfind(R, HelixSegList, Rsphere, theta_phi_points) for Rsphere in RSphereList]
BFieldSHTs = []
for BField in BFieldonSpheres:
fields = transpose(BField)
Bx = fields[0]
By = fields[1]
Bz = fields[2]
Bs = fields[3]
tmp = [SHT.SHT(harmonicBW, realdata=f, mode="COS_SIN") for f in fields]
BFieldSHTs.append(tmp)
q = [
"['Units_r','Units_z','Units_B'],Big_rvect,Big_zvect,Big_fieldBox(Bx,By,Bz,fieldsquared),Small_rvect,Small_zvect,Small_fieldBox(Bx,By,Bz,fieldsquared),harmonicBW,RSphereList,BFieldonSpheres,BFieldSHTs(one for each RSphere and (Bx,By,Bz,B2) for each one)",
["meters", "meters", "teslas"],
Big_rvect,
Big_zvect,
Big_fieldBox,
Small_rvect,
Small_zvect,
Small_fieldBox,
harmonicBW,
RSphereList,
BFieldonSpheres,
BFieldSHTs,
]
f = file(filename, "w+")
cPickle.dump(q, f)
f.close()
def harmonizer_tester(n,m,harms,bw,Rsphere,mode="NONE"):
"""
This function shows the data produced by the harmonizer function
at a number of data points given a certain set of harmonic components
see 'anothertester'
"""
meas_points=[]#SHT.measurement_points(bw)
for theta,phi in SHT.measurement_points(bw):
meas_points.append(Vector([Rsphere,theta,phi],type="SPHERICAL"))
d,rdata=SHT.harmonizer(meas_points,harms,mode=mode,pointType="VECTOR");
harmplotterMAT(bw,harms,mode=mode)
l=SHT.SHT(bw,realdata=rdata,mode=mode,Rref=Rsphere)
pprint(l)
return
def tester():
bw=4;
num=len(SHT.measurement_points(bw))
rdata=[1 for i in range(num)];
idata=[0 for i in range(num)];
pprint(bw)
pprint(rdata)
pprint(idata)
#pprint(len(SHT.measurement_points(bw)))
l=SHT.SHT(bw,rdata,idata)
pprint(l)
return
def multitester():
"""
This function generates some data
and then when the SHT is taken it should
have the same harmonic components as were
origininally generated
"""
bw=8;
#harmtype='_{n,m}'
harmtype='_{n}^{m}'
Rsphere=0.08
meas_points=[]
for theta,phi in SHT.measurement_points(bw):
meas_points.append(Vector([Rsphere,theta,phi],type="SPHERICAL"))
mode = "COS_SIN"
harms=[((0,0),(1.0,0.0)),
((1,0),(1.0,0.0)),
((2,0),(1.0,0.0)),
((3,0),(1.0,0.0)),
((4,0),(2.0,0.0)),
((1,1),(1.0,1.0)),
((2,1),(1.0,1.0)),
((2,2),(0.0,1.0)),
((7,6),(0.0,20))]
#harms=[((1,1),(1.0,0.0))]
d,rdata=SHT.harmonizer(meas_points,harms,mode=mode,pointType="VECTOR",harmtype=harmtype)
SHT.harmplotterMAT(bw,harms,Rsphere,mode=mode,harmtype=harmtype,type="3D")
print "I am about to SHT"
l=SHT.SHT(bw,realdata=rdata,mode=mode,Rref=Rsphere,harmtype=harmtype)
print "I SHTed"
pprint(l)
return
def SHTmeasurement_points(bw,r):#,color=(0,1,0)):
"""Return the SHT.measurement_points in terms of the point construct"""
meas_points=SHT.measurement_points(bw)
result=[Vector((r,theta,phi),type="SPHERICAL") for theta,phi in meas_points]#,color=color)
return result
def val(self,theta,phi):
d,rdata=SHT.harmonizer([(theta,phi)],self.harms,mode=self.mode)
result=float(rdata[0])
return result