def test_dblint():
# Basic test to see it runs and gives the correct result on a trivial
# problem. Note that `dblint` is not exposed in the interpolate namespace.
x = np.linspace(0, 1)
y = np.linspace(0, 1)
xx, yy = np.meshgrid(x, y)
rect = interpolate.RectBivariateSpline(x, y, 4 * xx * yy)
tck = list(rect.tck)
tck.extend(rect.degrees)
assert_almost_equal(dblint(0, 1, 0, 1, tck), 1)
assert_almost_equal(dblint(0, 0.5, 0, 1, tck), 0.25)
assert_almost_equal(dblint(0.5, 1, 0, 1, tck), 0.75)
assert_almost_equal(dblint(-100, 100, -100, 100, tck), 1)
def correct_slitshift2(data, slitshift, mask=None, isreverse=False):
'''
Applies horizontal shift to correct tilt in data.
Parameters
----------
Returns
-------
History
-------
Written by Kevin Stevenson June 2012
'''
# Create slit-shift-corrected indices
ny, nx = np.shape(data)
xgrid, ygrid = np.meshgrid(range(nx), range(ny))
if isreverse:
xgrid = (xgrid.T - slitshift).T
else:
xgrid = (xgrid.T + slitshift).T
# Interpolate reduced data to account for slit shift
spline = spi.RectBivariateSpline(range(ny), range(nx), data, kx=3, ky=3)
# Evaluate interpolated array within region containing data
cordata = spline.ev(ygrid.flatten(), xgrid.flatten()).reshape(ny,nx)
# Do the same for the bad pixel mask
if mask != None:
spline = spi.RectBivariateSpline(range(ny), range(nx), mask, kx=3, ky=3)
#cormask = np.round(spline.ev(ygrid.flatten(), xgrid.flatten()).reshape(ny,nx),2).astype(int)
cormask = spline.ev(ygrid.flatten(), xgrid.flatten()).reshape(ny,nx)
cormask[np.where(cormask >= 0.9)] = 1
return cordata, cormask.astype(int)
else:
return cordata
def _updatePlasmaPsi(self, plasma_psi):
"""
Sets the plasma psi data, updates spline interpolation coefficients.
Also updates:
self.mask 2D (R,Z) array which is 1 in the core, 0 outside
self.psi_axis Value of psi on the magnetic axis
self.psi_bndry Value of psi on plasma boundary
"""
self.plasma_psi = plasma_psi
# Update spline interpolation
self.psi_func = interpolate.RectBivariateSpline(
self.R[:, 0], self.Z[0, :], plasma_psi)
# Update the locations of the X-points, core mask, psi ranges.
# Note that this may fail if there are no X-points, so it should not raise an error
# Analyse the equilibrium, finding O- and X-points
psi = self.psi()
opt, xpt = critical.find_critical(self.R, self.Z, psi)
if opt:
self.psi_axis = opt[0][2]
if xpt:
self.psi_bndry = xpt[0][2]
self.mask = critical.core_mask(self.R, self.Z, psi, opt, xpt)
# Use interpolation to find if a point is in the core.
self.mask_func = interpolate.RectBivariateSpline(
self.R[:, 0], self.Z[0, :], self.mask)
elif self._applyBoundary is fixedBoundary:
# No X-points, but using fixed boundary
self.psi_bndry = psi[0, 0] # Value of psi on the boundary
self.mask = None # All points are in the core region
else:
self.psi_bndry = None
self.mask = None
def MakePlotSingleAndDoubleIonizationEnergyDistribution(filename):
figRatio = 16.0 / 12.0
offset = figRatio
gradientFile = "gradient_uib.txt"
f = tables.openFile(filename, "r")
try:
energyDouble = array(f.root.dpde_double._v_attrs.energy)
dpdeDouble = array(f.root.dpde_double)
energySingle = array(f.root.dpde_single._v_attrs.energy)
dpdeSingle = array([f.root.dpde_single[:]])
finally:
f.close()
#2d interpolation
#newEnergies = linspace(energyDouble[0], energyDouble[-1], 500)
newEnergies = energySingle[:]
interpolator = interpolate.RectBivariateSpline(energyDouble,
energyDouble,
dpdeDouble,
kx=3,
ky=3)
dpdeDoubleNew = interpolator(newEnergies, newEnergies)
#load color map
cmap = LoadColormap(gradientFile, reverse=True)
figure()
#plot single dpde
ax1 = axes([0.1, 0.12, 0.02, 0.8])
ax1.set_xticks(())
ax1.pcolormesh(r_[0:2], energySingle, transpose(dpdeSingle), cmap=cmap)
ylabel("Energy (a.u.)")
ax2 = axes([0.12, 0.1, 0.8, 0.02])
ax2.set_yticks(())
ax2.pcolormesh(energySingle, r_[0:2], dpdeSingle, cmap=cmap)
xlabel("Energy (a.u.)")
ax3 = axes([0.13, 0.13, 0.79, 0.79])
ax3.pcolormesh(newEnergies, newEnergies, dpdeDoubleNew, cmap=cmap)
ax3.set_xticks(())
ax3.set_yticks(())
#xlabel("Energy (a.u.)")
#ylabel("Energy (a.u.)")
show()
def estimate_distances(wds, radii, blurry_stacks, mask, focused_img, scale):
print('Estimating distances of foreground pixels...')
blurry_stacks = np.array(blurry_stacks, np.float32)
H = blurry_stacks.shape[2]
W = blurry_stacks.shape[3]
min_wd = np.min(wds)
max_wd = np.max(wds)
init = np.mean(wds)
depth_map = VERY_FAR * np.ones([H, W], np.float32)
conf_map = -np.ones([H, W], np.float32)
total_pixels = np.count_nonzero(mask)
count = 0
for y in range(H):
for x in range(W):
if mask[y, x] == 0:
continue
count += 1
if count % 1000 == 0:
print('\tMinimizing integrations for #%d/%d...' %
(count, total_pixels))
ssd = blurry_stacks[:, :, y, x]
spline = interpolate.RectBivariateSpline(wds,
radii,
ssd,
kx=1,
ky=1)
energy_func = lambda d: sum(spline(wd, d / wd)[0, 0] for wd in wds)
sol = optimize.minimize_scalar(energy_func, \
bounds=[min_wd, max_wd], method='bounded', tol=1.0)
depth_map[y, x] = sol.x
# plot_x = np.linspace(min_wd, max_wd, num=100)
# plot_y = [energy_func(x) for x in plot_x]
# plt.plot(plot_x, plot_y)
# plt.savefig('./doll_data_out/sampleplot_%d_%d.png' % (x, y))
# plt.clf()
# viz.visualize_grid_map(ssd, wds, radii, \
# outpath='./doll_data_out/%d_%d_%.2f.png' % (x, y, sol.x))
conf = misc.derivative(energy_func, sol.x, dx=2.0, n=2, order=5)
conf_map[y, x] = conf / sol.fun
if count % 100000 == 0:
output_results(depth_map, conf_map, mask, focused_img, \
'./doll_data_out/', raw=True, output_model=False)
return depth_map, conf_map
def Apply(self, frame):
if not self.enabled:
return
self.logger.debug("Apply")
bins = (self._binsX, self._binsY)
# Find bin's central coordinates
coordsMatX = np.nanmean(Bin2dData(frame.coords[0], bins), axis=(1, 3))
coordsMatY = np.nanmean(Bin2dData(frame.coords[1], bins), axis=(1, 3))
# Calc percentile over self._spanT frames
# TODO: performance issue if _spanT large
framesFrom = max(0, frame.nr - int(self._spanT / 2))
framesTo = min(framesFrom + self._spanT, len(frame._fseries))
binnedData = None
for frameNr in range(framesFrom, framesTo):
# TODO: if not first preprocessor
dataF = frame._fseries.GetOriginalFrame(frameNr).data
_binnedData = Bin2dData(dataF, bins)
if binnedData is None:
binnedData = _binnedData
else:
binnedData = np.append(binnedData, _binnedData, axis=1)
percentileMat = np.nanpercentile(binnedData,
self._precentile,
axis=(1, 3))
# Interpolate plane
#x, y, z = 1e9 * coordsMatX.ravel(), 1e9 * coordsMatY.ravel(), percentileMat.ravel()
#tck = interpolate.bisplrep(x, y, z, s = self._smoothing)
#interpolatedBg = interpolate.bisplev(1e9 * xc, 1e9 * yc, tck)
xc, yc = frame.coords
interp = interpolate.RectBivariateSpline(coordsMatX[:, 0],
coordsMatY[0, :],
percentileMat,
s=self._smoothing)
interpolatedBg = interp.ev(xc, yc)
# Result
frame.data -= interpolatedBg
frame._interpolatedBg = interpolatedBg # TODO:
self.logger.debug("Apply done")
return frame
def Gen_compositions(self, r, d):
""" in the interpolation function "Z" should have the shape(x.size,y.size), because the istopes arrays have
the shape (decay time steps, irradiation time steps), the decay_days is the first argument in the interpolation
class, but the arguments order is flipped in the outer function (Gen_compositions) for more convenience """
compositions = []
for i in range(36):
Interp = interpolate.RectBivariateSpline(self.Decay_days,
self.Irradiation_days,
self.isotopes[i],
kx=1,
ky=1)
compositions.append(Interp(d, r)[0][0])
return compositions
def __init__(self, x, y, z, ofrv=None, type='linear'):
self.type = type
if self.type == 'cubic':
self.interpolant = spi.RectBivariateSpline(x, y, z)
elif self.type == 'linear':
self.interpolant = spi.interp2d(y, x, z, kind='linear')
else:
raise ValueError('Interpolant type unknown: "%s"' % type)
self.x_range = (x[0], x[-1])
self.y_range = (y[0], y[-1])
# Out of range value:
self.ofrv = ofrv
def __init__(self,galaxy_model):
if galaxy_model == 'Schober':
self.modelGamma="Galaxy_Models/Gamma_Schober_normal.dat" #absorption model, model: [Energy [eV], redshift, Gamma [s-1]]
self.modelChi = "Galaxy_Models/norm_chi_Schober_normal.dat" #photon-photon dispersion model
#Galaxy evolution
def evo(self,zz):#Redshift evolution of host galaxies
k1=3./5.
k2=14./15.
zm=5.4
return k2*np.exp(k1*(zz-zm))/(k2-k1+k1*np.exp(k2*(zz-zm)))*(1+zz)**3
self.evo = evo
if galaxy_model == 'Yuksel':
self.modelGamma="Galaxy_Models/Gamma_Schober_normal_YukselGRB.dat" #absorption model, model: [Energy [eV], redshift, Gamma [s-1]]
self.modelChi = "Galaxy_Models/norm_chi_Schober_normal_YukselGRB.dat" #photon-photon dispersion model
#Galaxy evolution
def evo(self,zz):#Redshift evolution of host galaxies
return ((1.+zz)**(-34.)+((1.+zz)/5160.64)**3+((1.+zz)/9.06)**35.)**(-1./10.)
self.evo = evo
#Absorption
self.GammaDataRaw=np.loadtxt(self.modelGamma) #load data
self.enLDataG=np.asarray(np.log10(sorted(list(set(self.GammaDataRaw[:,0])))))-12 #extract energy data. Convert to logarithmic form and to TeV
self.zzDataG=np.asarray(sorted(list(set(self.GammaDataRaw[:,1])))) #redshift data
self.GDataG=self.GammaDataRaw[:,2].reshape(len(self.enLDataG),len(self.zzDataG)) #reshape Gamma
self.GammaInt=interpolate.RectBivariateSpline(self.enLDataG,self.zzDataG, self.GDataG,kx=1,ky=1) #Interpolate with linear spline
#Dispersion
self.DispDataRaw=np.loadtxt(self.modelChi) #load data
self.enLDataD=np.asarray(np.log10(sorted(list(set(self.DispDataRaw[:,0])))))-12 #extract energy data. Convert to logarithmic form and to TeV
#second entry redhift
self.zzDataD=np.asarray(sorted(list(set(self.DispDataRaw[:,1])))) #redshift data
self.DDataD=self.DispDataRaw[:,2].reshape(len(self.enLDataD),len(self.zzDataD))
self.DispInt=interpolate.RectBivariateSpline(self.enLDataD,self.zzDataD,self.DDataD,kx=1,ky=1) #Interpolate with linear spline
def adj(self,R,cor):
N=self.Pgl.N
Nproj=self.Pgl.Nproj
Ntheta=self.Pgl.Ntheta
Nrho=self.Pgl.Nrho
Nslices=R.shape[0]
N1=R.shape[1] # N1==N for no padding
df=zeros([Nslices,N,N],dtype='float32')
dR=zeros([Nslices,N,Nproj],dtype='float32')
shift=cor-N1/2
dR[:,N/2-N1/2+shift:N/2+N1/2+shift,0::self.osangles]=R
#padding
dR[:,:N/2-N1/2+shift,:]=tile(reshape(dR[:,N/2-N1/2+shift,:],[Nslices,1,Nproj]),[1,N/2-N1/2+shift,1])
dR[:,N/2+N1/2+shift:,:]=tile(reshape(dR[:,N/2+N1/2+shift-1,:],[Nslices,1,Nproj]),[1,N/2-N1/2-shift,1])
if (self.Padj.filter is not None):
dRos=zeros([Nslices,4*N,Nproj],dtype='float32')
dRos[:,2*N-N/2:2*N+N/2,:]=dR
dRos=real(fft.fftshift(fft.ifft(fft.fftshift(fft.fftshift(fft.fft(fft.fftshift(dRos,1),axis=1),1)*tile(transpose(tile(self.Padj.filter,[Nproj,1])),[Nslices,1,1]),1),axis=1),1))
dR=dRos[:,2*N-N/2:2*N+N/2,:]
for islice in range(0,Nslices):
Rlp0=zeros([Nrho,Ntheta],dtype='float32')
f0=zeros([N,N],dtype='float32')
interp_p=interpolate.RectBivariateSpline(arange(0,N), arange(0,Nproj), dR[islice,:,:], kx=3,ky=3)
for k in range(0,3):
Rlp0[unravel_index(self.Padj.lpids,(Nrho,Ntheta))]=interp_p(self.Padj.lp2p2[k],self.Padj.lp2p1[k],grid=False)
Rlp0[unravel_index(self.Padj.wids,(Nrho,Ntheta))]=interp_p(self.Padj.lp2p2w[k],self.Padj.lp2p1w[k],grid=False)
flp=fft.irfft2(fft.rfft2(Rlp0)*self.Padj.fZ)
interp_lp=interpolate.RectBivariateSpline(arange(0,Nrho), arange(0,Ntheta), flp, kx=3,ky=3)
f0[unravel_index(self.Padj.cids,(N,N))]+=interp_lp(self.Padj.C2lp2[k],self.Padj.C2lp1[k],grid=False)
df[islice,:,:]=f0
f=df[:,N/2-N1/2:N/2+N1/2,N/2-N1/2:N/2+N1/2]*self.osangles*N1/N
return f
def make_Tau(self):
"""
Create EBL interpolation (model based on Finke et al)
"""
# Load and combined EBL files downloaded from http://www.phy.ohiou.edu/~finke/EBL/
tau_files = '/group/hepheno/smsharma/Fermi_High_Latitudes/Fermi-HighLat/sim/tau_modelC_total/tau_modelC_total_z%.2f.dat'
z_list = np.arange(0, 5, 0.01) # z values to load files for
E_list, tau_list = [], []
for z in z_list:
d = np.genfromtxt(tau_files % z, unpack=True)
E_list = d[0]
tau_list.append(d[1])
self.Tau_ip = ip.RectBivariateSpline(
z_list, E_list, np.array(tau_list)) # Create interpolation
def _radial_derivative(self):
"""
Generate the radial derivative of rho
"""
z = self.z_bins
r = self.r_bins
rho = self.rho_binned
dz = z[[1]] - z[[0]]
dr = r[[1]] - r[[0]]
drho_dr_binned = np.gradient(rho, dz, dr)[1]
drho_dr_spline = interp.RectBivariateSpline(z, r, drho_dr_binned)
self._drho_dr = drho_dr_spline
def colorcode(datax, datay):
from scipy import interpolate
import numpy as np
H, xedges, yedges = np.histogram2d(datax, datay, bins=30)
xedges = (xedges[:-1] + xedges[1:]) / 2
yedges = (yedges[:-1] + yedges[1:]) / 2
f = interpolate.RectBivariateSpline(xedges, yedges, H)
z = np.array([])
for i in datax.index:
z = np.append(z, f(datax[i], datay[i]))
#z=(z-min(z))/(max(z)-min(z))
z[z < 0] = 0
idx = z.argsort()
return z, idx
def find_separatrix(eq, opoint=None, xpoint=None, ntheta=20, psi=None, axis=None, psival=1.0):
"""Find the R, Z coordinates of the separatrix for equilbrium
eq. Returns a tuple of (R, Z, R_X, Z_X), where R_X, Z_X are the
coordinates of the X-point on the separatrix. Points are equally
spaced in geometric poloidal angle.
If opoint, xpoint or psi are not given, they are calculated from eq
eq - Equilibrium object
opoint - List of O-point tuples of (R, Z, psi)
xpoint - List of X-point tuples of (R, Z, psi)
ntheta - Number of points to find
psi - Grid of psi on (R, Z)
axis - A matplotlib axis object to plot points on
"""
if psi is None:
psi = eq.psi()
if (opoint is None) or (xpoint is None):
opoint, xpoint = find_critical(eq.R, eq.Z, psi)
psinorm = (psi - opoint[0][2])/(xpoint[0][2] - opoint[0][2])
psifunc = interpolate.RectBivariateSpline(eq.R[:,0], eq.Z[0,:], psinorm)
r0, z0 = opoint[0][0:2]
theta_grid = linspace(0, 2*pi, ntheta, endpoint=False)
dtheta = theta_grid[1] - theta_grid[0]
# Avoid putting theta grid points exactly on the X-points
xpoint_theta = arctan2(xpoint[0][0] - r0, xpoint[0][1] - z0)
# How close in theta to allow theta grid points to the X-point
TOLERANCE = 1.e-3
if any(abs(theta_grid - xpoint_theta) < TOLERANCE):
warn("Theta grid too close to X-point, shifting by half-step")
theta_grid += dtheta / 2
isoflux = []
for theta in theta_grid:
r, z = find_psisurface(eq, psifunc,
r0, z0,
r0 + 10.*sin(theta), z0 + 10.*cos(theta),
psival=psival,
axis=axis)
isoflux.append((r, z, xpoint[0][0], xpoint[0][1]))
return isoflux
def __init__(self, grid_data):
super(TerrainElevationComp, self).__init__(grid_data, time_units='s')
self.deriv_options['type'] = 'fd'
nn = grid_data['num_nodes']
self.add_param('lat',
shape=(nn, ),
desc='latitude',
units='deg',
eom_state=False)
self.add_param('long',
shape=(nn, ),
desc='longitude',
units='deg',
eom_state=False)
self.add_param('z',
shape=(nn, ),
desc='vertical component of position, positive down',
units='m',
eom_state=False)
mydir = os.path.dirname(os.path.realpath(__file__))
data_file_path = os.path.join(mydir, 'usgs_data.npz')
usgs_file = np.load(data_file_path)
self.add_output('elev',
shape=(nn, ),
desc='terrain elevation at the given point',
units='m/s/s')
self.add_output('alt',
shape=(nn, ),
desc='ground-relative altitude of the track',
units='m')
self.interpolant = interpolate.RectBivariateSpline(
usgs_file['Longitude'], usgs_file['Latitude'],
usgs_file['Elevation'])
import matplotlib.pyplot as plt
xx = usgs_file['XX']
yy = usgs_file['YY']
zz = usgs_file['Elevation']
plt.contourf(xx, yy, zz)
def test_voxel_interpolation():
# Create a grid and a function within that grid
scale = 0.1
grid_size = np.array([31, 31])
grid_origin = np.array([5., 6.])
x = np.linspace(grid_origin[0],
grid_origin[0] + scale * (grid_size[0] - 1), grid_size[0])
y = np.linspace(grid_origin[1],
grid_origin[1] + scale * (grid_size[1] - 1), grid_size[1])
xv, yv = np.meshgrid(x, y, sparse=False, indexing='xy')
zv = 3 * xv + 5 * yv
voxel_map = VoxelMap(scale=scale,
origin_2=np.array(grid_origin / scale,
dtype=np.float32),
map_size_2=np.array(grid_size, dtype=np.float32),
function_array_mn=np.array(zv, dtype=np.float32))
# Let's have a bunch of points to test the interpolation
test_positions = np.array([[[5.02, 6.01], [5.67, 7.73], [6.93, 6.93]],
[[9.1, 7.2], [7.889, 8.22], [7.1, 8.1]]],
dtype=np.float32)
# Get the interpolated output of the voxel map
interpolated_values = voxel_map.compute_voxel_function(test_positions,
invalid_value=-1.)
interpolated_values = np.reshape(interpolated_values, [-1])
# Expected interpolated values
expected_interpolated_values = 3 * \
test_positions[:, :, 0] + 5 * test_positions[:, :, 1]
expected_interpolated_values = np.reshape(expected_interpolated_values,
[-1])
expected_interpolated_values[3] = -1.
# Scipy Interpolated values
f_scipy = interpolate.RectBivariateSpline(y, x, zv, kx=1, ky=1)
scipy_interpolated_values = f_scipy.ev(
np.reshape(test_positions[:, :, 1], [-1]),
np.reshape(test_positions[:, :, 0], [-1]))
scipy_interpolated_values[3] = -1.
assert np.sum(
abs(expected_interpolated_values - interpolated_values) <= 0.01) == 6
assert np.sum(
abs(scipy_interpolated_values - interpolated_values) <= 0.01) == 6
def procesar_magnus_moment_coef():
# colocar en el vecto n_magnus los distintos 'angulos que se disponen de coeficientes
[rows, cols] = np.shape(globals.data)
n = cols - 8
n_magnus = globals.data[0:rows, 8:8 + n]
#Convert deg to rad
magnus_ang = globals.data_raw[rows, 8:8 + n] * np.pi / 180
tot = rows * n
M_0 = globals.data[:, 0]
# Mach para doble interpolaci'on
globals.Mpa = np.zeros(tot)
for i in range(rows):
for k in range(n):
globals.Mpa[i * n + k] = M_0[i]
print('globals.Mpa')
print(globals.Mpa)
print(np.shape(globals.Mpa))
# angulos de magnus
globals.ang = []
for ii in range(rows):
globals.ang = np.append(globals.ang, magnus_ang)
print('globals.ang')
print(globals.ang)
print(np.shape(globals.ang))
# Cnpa
globals.Cnpa_proce = np.zeros(tot)
for i in range(rows):
for k in range(n):
globals.Cnpa_proce[i * n + k] = globals.data[i, k + 8]
print('globals.Cnpa_proce')
print(globals.Cnpa_proce)
print(np.shape(globals.Cnpa_proce))
#interp2d option
#globals.interp = interpolate.interp2d(globals.Mpa, globals.ang, globals.Cnpa_proce)
#RectBivariateSpline option
n = np.shape(globals.Mpa[0::4])
m = np.shape(globals.ang[0:4])
globals.interp = interpolate.RectBivariateSpline(
globals.Mpa[0::4], globals.ang[0:4],
np.reshape(np.asarray(globals.Cnpa_proce), (n[0], m[0])))
return []
def filtered_wvd(wvd, stft):
qstft = abs(stft)
qstft = float64(qstft * qstft)
bigstft = zeros(shape[wvd[0]], float64)
x = arange(0, shape(qstft)[0])
y = arange(0, shape(sqtft)[1])
xx = linspace(x.min(), x.max(), shape(wvd[0])[0])
yy = linspace(y.min(), y.max(), shape(wvd[0])[1])
interpolator = interpolate.RectBivariateSpline(x, y, qstft, kx=1, ky=1)
bigstft = interpolator(xx, yy)
return (sqrt(abs(bigstft * wvd[0])), wvd[1], wvd[2])
def qbubbleRefineContours(lv1, img, vb = 0):
h, w = img.shape
# Refines contours according to an image
f = inpo.RectBivariateSpline(np.arange(h)+0.5,np.arange(w)+0.5,img)
lv2 = []
if (vb > 0): t0 = time.time()
for i in range(len(lv1)):
if (vb > 1): t1 = time.time()
v = lv1[i].copy()
if (vb > 1): print(i, end =" ")
pv = v+10000
v, pv = qbubbleStep(v, pv, f, w, h, 0, 1, 0.001, 1, 0.0001, 200, 4, 1, 1, 1)
lv2.append(v)
if (vb > 1): print("%.2f" % (time.time()-t1))
if (vb > 0): print("Elapsed: ",time.time()-t0)
return(lv2)
def interpolate_data(self,data_matrix,energies):
""" interpolation based on the small matrices matrix_data
"""
#create the correct form for the array z values
#the values of energy are related to the values on which the interpolation has been made.
r = len(data_matrix)
c = len(self.frequencies)
data_matrix = np.reshape(data_matrix, (r, c))
val_flux = np.transpose(data_matrix)
self.ei = self.ui.incidentEnergyValue.text()
self.ei= float(self.ei)
ei = [self.ei]
#linear interpolation
self.interpolation = interpolate.RectBivariateSpline(self.frequencies, energies, val_flux,kx=1, ky=1) #spline interpolation over the values of energy given.
result = self.interpolation(self.frequencies, ei)#returns the value for the specific energy required ei.
return result
def load_chg_plane(fname):
"""Load charge density in a plane, in the format used by lev00"""
dat = np.loadtxt(fname)
# Data is stored in text form, with each line containing
# X Y Z
# where Z is the charge density
# However, if the width along the axises are different, the grid points in
# each direction stay constant, but the grid spacing changes.
# So we might need to reinterpolate on a regular grid
# Original num of points in both X and Y directions.
n = np.sqrt(dat.shape[0])
# x, y = meshgrid(dat[0:n, 0], dat[0:n, 1])
x = dat[:, 0]
y = dat[:, 1]
xmax = x.max()
xmin = x.min()
ymax = y.max()
ymin = y.min()
xr = xmax - xmin
yr = ymax - ymin
xl = np.linspace(xmin, xmax, n)
yl = np.linspace(ymin, ymax, n)
z = np.reshape(dat[:, 2], (n, n))
if xr == yr:
# No interpolation needed
pass
else:
import scipy.interpolate as spi
# Create 2D interpolator object with original data
# interp2d goes into an infinite loop?
# inter2 = spi.interp2d(xl, yl, z)
inter2 = spi.RectBivariateSpline(xl, yl, z)
# Reinterpolate only along the bigger dimension
idim = xr < yr
if idim: # Y range is bigger
fac = int(round(n * yr / xr))
yl = np.linspace(ymin, ymax, fac)
else:
fac = int(round(n * xr / yr))
xl = np.linspace(xmin, xmax, fac)
z = inter2(xl, yl)
return xl, yl, z
def Q(Varray, Rarray, nx=2000, ny=2000, print_points=True):
'''
Take in all Voltage/Resistance Pairs and return the conditional PDF: Q= P(R|V)
Performs Gaussian Kernel Density Estimate and Linear Interpolation
Params
------
Varray, Rarray
ndarray, same size (n_examples,)
Returns
-------
Q
ndarray (__, __)
'''
V_list = np.sort(np.unique(Varray))
#Gaussian KDE
Pyx_func = []
for i, v in enumerate(V_list):
idx = (Varray == v)
data = Rarray[idx]
if print_points == True:
print('%0.2f Volts, %d Points' % (v, sum(idx)))
Pyx_func.append(stats.gaussian_kde(
data, bw_method='scott')) #scott, silvermann, scalar
Pyx_func = FunctionList(Pyx_func)
x = np.linspace(V_list.min(), V_list.max(), nx)
y = np.linspace(Rarray.min() * 0.7, Rarray.max() * 1.3, ny)
# Bivariate Spline
Pyx = np.atleast_2d(Pyx_func(y))
Pyx_interp = interpolate.RectBivariateSpline(V_list,
y,
Pyx,
kx=3,
ky=3,
s=0)
Pyx_new = np.rot90(Pyx_interp(x, y))
# Normalize (each input needs to end up in an output (column=1))
Pyx_new = Pyx_new / np.sum(Pyx_new, axis=0)
return Pyx_new, x, y
def get_fluence(e_0=100.0):
"""
Returns a function representing the electron
fluence with the distance in CSDA units.
Args:
e_0 (float): The kinetic energy whose
CSDA range is used to scale the distances.
Returns:
A function representing fluence(x,u) with x in CSDA units.
"""
# List of available energies
e0_str_list = list(
map(
lambda x: (os.path.split(x)[1]).split(".csv")[0],
glob(os.path.join(data_path, "fluence", "*.csv")),
))
e0_list = sorted(list(map(int, list(filter(str.isdigit, e0_str_list)))))
e_closest = min(e0_list, key=lambda x: abs(x - e_0))
with open(os.path.join(data_path, "fluence/grid.csv"), "r") as csvfile:
r = csv.reader(csvfile,
delimiter=" ",
quotechar="|",
quoting=csv.QUOTE_MINIMAL)
t = next(r)
x = np.array([float(a) for a in t[0].split(",")])
t = next(r)
u = np.array([float(a) for a in t[0].split(",")])
t = []
with open(
os.path.join(data_path, "fluence",
"".join([str(e_closest), ".csv"])),
"r",
) as csvfile:
r = csv.reader(csvfile,
delimiter=" ",
quotechar="|",
quoting=csv.QUOTE_MINIMAL)
for row in r:
t.append([float(a) for a in row[0].split(",")])
t = np.array(t)
f = interpolate.RectBivariateSpline(x, u, t, kx=1, ky=1)
# Note f is returning numpy 1x1 arrays
return f
def _lens_chk_N(args):
assert len(args) == 15, args
N, path_to_map, path_to_dx, path_to_dy, buff0, buff1, \
lside0, lside1, HD_res0, HD_res1, NR_iter, kspl, LD0, LD1, do_not_prefilter = args
HD_res = (HD_res0, HD_res1)
LD = (LD0, LD1)
s = (2**LD[0] + 2 * buff0, 2**LD[1] + 2 * buff1) # Chunk shape
dx = np.load(path_to_dx, mmap_mode='r')
dy = np.load(path_to_dy, mmap_mode='r')
map = np.load(path_to_map, mmap_mode='r')
rmin0 = lside0 / 2**HD_res[0]
rmin1 = lside1 / 2**HD_res[1]
map_chk_N = np.empty(s, dtype=float)
dx_gu = np.empty(
s, dtype=float
) # will dx displ. in grid units of each chunk (typ. (256 * 256) )
dy_gu = np.empty(
s, dtype=float
) # will dy displ. in grid units of each chunk (typ. (256 * 256) )
sLDs, sHDs = periodicmap_spliter().get_slices_chk_N(
N, LD, HD_res, (buff0, buff1))
for sLD, sHD in zip(sLDs, sHDs):
# Displacements chunk in grid units, and map chunk to displace.
dx_gu[sLD] = dx[sHD] / rmin1
dy_gu[sLD] = dy[sHD] / rmin0
map_chk_N[sLD] = map[sHD]
if do_not_prefilter:
# Undoing the prefiltering prior to apply bicubic interpolation
map_chk_N = np.fft.rfft2(map_chk_N)
w0 = 6. / (2. * np.cos(2. * np.pi * np.fft.fftfreq(s[0])) + 4.)
map_chk_N /= np.outer(w0, w0[0:map_chk_N.shape[1]])
map_chk_N = np.fft.irfft2(map_chk_N, s)
idc0, idc1 = np.indices(
s) # Two typically (256 + 2 * buff * 256 + 2* buff) maps
lx = (idc1 + dx_gu).flatten() # No need to enforce periodicity here.
ly = (idc0 + dy_gu).flatten() # No need to enforce periodicity here.
return (interpolate.RectBivariateSpline(np.arange(s[0]),
np.arange(s[1]),
map_chk_N,
kx=kspl,
ky=kspl).ev(ly, lx).reshape(s), )
def rotate_ground(original,
theta,
horizon=60,
half_height=360 / 2,
focal=1.0):
height, width, channel = original.shape
# the target grids
yp = range(height - horizon, height)
xp = range(0, width)
# from pixel to coordinates
y0 = (np.array(yp) - half_height) * 1.0 / half_height
x0 = (np.array(xp) - width / 2) / (width / 2.0)
# form the mesh
mesh = MyDataset.generate_meshlist(x0, y0)
# compute the source coordinates
st = math.sin(theta)
ct = math.cos(theta)
deno = ct * focal + st * mesh[:, 0]
out = np.array([(-st * focal + ct * mesh[:, 0]) / deno,
mesh[:, 1] / deno])
# interpolate
vout = []
for i in range(3):
f = interpolate.RectBivariateSpline(y0, x0, original[-horizon:, :,
i])
values = f(out[1, :], out[0, :], grid=False)
vout.append(values)
lower = np.reshape(vout, (3, width, horizon)).transpose(
(2, 1, 0)).astype("uint8")
# compute the upper part
out = np.reshape(out[0, :], (width, horizon))
out = out[:, 0]
f = interpolate.interp1d(x0,
original[:-horizon, :, :],
axis=1,
fill_value=(original[:-horizon, 0, :],
original[:-horizon, -1, :]),
bounds_error=False)
ans = f(out)
ans = ans.astype("uint8")
return np.concatenate((ans, lower), axis=0)
def interpolate(self, degree=1):
#create an interpolating spline to evaluate at arbitrary points
#use first order as standard as this can cause no problems
#better (higher order) interpolation possible by using 'degree'
#It is recommended to use logarithmic values for interpolation
#adf11 values are already written as log10
logtemp = self.temp
logdens = self.dens
logdata = self.data
#do actual interpolation
self.logInterpolate = []
for i in range(self.izmax):
self.logInterpolate.append(spi.RectBivariateSpline(logdens, \
logtemp, logdata[:,:,i], kx=degree, ky=degree))
print("Ionization coefficient interpolation done.")
def interpolate_model_field(self):
"""Interpolate the model fields in self.model_field_coarse to the fine
grid, store it in self.model_field
"""
self.model_field = {}
for key, model_field in self.model_field_coarse.items():
self.model_field[key] = []
for i in range(len(self.time_array)):
interpolator = interpolate.RectBivariateSpline(
np.flip(LATITUDE_COARSE_ARRAY), LONGITUDE_COARSE_ARRAY,
np.flip(model_field[i, :, :], 0))
model_field_interpolate_i = interpolator(
np.flip(LATITUDE_ARRAY), LONGITUDE_ARRAY)
model_field_interpolate_i = np.flip(model_field_interpolate_i,
0)
self.model_field[key].append(model_field_interpolate_i)
self.model_field[key] = np.asarray(self.model_field[key])
def get_interp_single(self, flu):
my_flu = flu
flu_y = [-19.5, -18.5, -17.5, -16.5, -15.5, -14.5, -13.5, -12.5, -11.5, -10.5, -9.75,
-9.25, -8.75, -8.25, -7.75, -7.25, -6.75, -6.25, -5.75, -5.25, -4.75, -4.25,
-3.75, -3.25, -2.75, -2.25, -1.75, -1.25, -0.75, -0.25, 0.25, 0.75, 1.25,
1.75, 2.25, 2.75, 3.25, 3.75, 4.25, 4.75, 5.25, 5.75, 6.25, 6.75, 7.25, 7.75,
8.25, 8.75, 9.25, 9.75, 10.5, 11.5, 12.5, 13.5, 14.5, 15.5, 16.5, 17.5, 18.5,
19.5]
flu_x = np.linspace(-19.95, 19.95, 400)
flu_yy = np.linspace(-19.95, 19.95, 400)
#first create interpolating object tmp
tmp = interpl.RectBivariateSpline(flu_y, flu_x, my_flu,kx=1, ky=1,s=0)
tmp2 = tmp(flu_yy, flu_x)
return tmp2
def img_resample(inarr, inpixsize, outpixsize, \
xyctr = None, newdim = None, normalize = True):
inarr = inarr[1:-1, 1:-1].copy()
nkx, nky = inarr.shape
X, Y = arange(nkx) + 0.5, arange(nky) + 0.5
# Define the desired center from the input map.
# Xctr and Yctr can both be non-integers.
if xyctr == None:
Xctr, Yctr = nkx / 2., nky / 2.
else:
Xctr, Yctr = xyctr[0], xyctr[1]
# Define the new dimension of the regridded map if not given
if newdim == None:
new_nkx, new_nky = array(inarr.shape) / (outpixsize / inpixsize)
new_nkx = int(new_nkx)
new_nky = int(new_nky)
if mod(new_nkx, 2) == 0:
new_nkx = new_nkx - 1
new_nky = new_nky - 1
else:
new_nkx, new_nky = newdim[0], newdim[1]
new_Xctr, new_Yctr = (new_nkx) / 2., (new_nky) / 2.
halfnewpix = outpixsize / inpixsize * 0.5
new_X = (arange(new_nkx)-new_Xctr+0.5)*outpixsize/inpixsize + \
Xctr
new_Y = (arange(new_nky)-new_Yctr+0.5)*outpixsize/inpixsize + \
Yctr
valuesum \
= nansum(inarr[int(new_Y[0]-halfnewpix):int(new_Y[-1]+halfnewpix), \
int(new_X[0]-halfnewpix):int(new_X[-1]+halfnewpix)])
f = interpolate.RectBivariateSpline(X, Y, inarr, kx=3, ky=3)
outarr = f(new_Y, new_X)
outarr[where(outarr == -999.)] = nan
# Conserve the sum of the initial array
outarr = outarr.copy()/nansum(outarr.copy())* \
valuesum*(outpixsize/inpixsize)**(-2.)
if normalize:
outarr = outarr.copy() / nansum(outarr.copy())
return outarr
def getPoints(self, sensorLocation):
#assert type(sensorLocation)==SensorLocation, "invalid input type"
out = np.zeros((sensorLocation.s[0], self.s[2]))
for i in range(self.s[2]):
f = sci.RectBivariateSpline(
np.linspace(self.dims[0].min, self.dims[0].max,
self.data.shape[0]),
np.linspace(self.dims[1].min, self.dims[1].max,
self.data.shape[1]), self.data[..., i])
out[:, i] = f(sensorLocation.data[:, 0],
sensorLocation.data[:, 1],
grid=False)
return SensorValue(out, [SensorDim(), ParameterDim()],
name="(%s) at points (%s)" %
(self.name, sensorLocation.name))
