def read(f):
""" Reads a G-EQDSK file
Parameters
----------
f = Input file. Can either be a file-like object,
or a string. If a string, then treated as a file name
and opened.
Returns
-------
"""
if isinstance(f, basestring):
# If the input is a string, treat as file name
with open(f) as fh: # Ensure file is closed
return read(fh) # Call again with file object
# Read the first line, which should contain the mesh sizes
desc = f.readline()
if not desc:
raise IOError("Cannot read from input file")
s = desc.split() # Split by whitespace
if len(s) < 3:
raise IOError("First line must contain at least 3 numbers")
idum = int(s[-3])
nxefit = int(s[-2])
nyefit = int(s[-1])
# Use a generator to read numbers
token = file_numbers(f)
xdim = float(token.next())
zdim = float(token.next())
rcentr = float(token.next())
rgrid1 = float(token.next())
zmid = float(token.next())
rmagx = float(token.next())
zmagx = float(token.next())
simagx = float(token.next())
sibdry = float(token.next())
bcentr = float(token.next())
cpasma = float(token.next())
simagx = float(token.next())
xdum = float(token.next())
rmagx = float(token.next())
xdum = float(token.next())
zmagx = float(token.next())
xdum = float(token.next())
sibdry = float(token.next())
xdum = float(token.next())
xdum = float(token.next())
# Read arrays
def read_array(n, name="Unknown"):
data = np.zeros([n])
try:
for i in np.arange(n):
data[i] = float(token.next())
except:
raise IOError("Failed reading array '"+name+"' of size ", n)
return data
def read_2d(nx, ny, name="Unknown"):
data = np.zeros([nx, ny])
for i in np.arange(nx):
data[i,:] = read_array(ny, name+"["+str(i)+"]")
return data
fpol = read_array(nxefit, "fpol")
pres = read_array(nxefit, "pres")
workk1 = read_array(nxefit, "workk1")
workk2 = read_array(nxefit, "workk2")
psi = read_2d(nxefit, nyefit, "psi")
qpsi = read_array(nxefit, "qpsi")
# Read boundary and limiters, if present
nbdry = int(token.next())
nlim = int(token.next())
if nbdry > 0:
rbdry = np.zeros([nbdry])
zbdry = np.zeros([nbdry])
for i in range(nbdry):
rbdry[i] = float(token.next())
zbdry[i] = float(token.next())
else:
rbdry = [0]
zbdry = [0]
if nlim > 0:
xlim = np.zeros([nlim])
ylim = np.zeros([nlim])
for i in range(nlim):
xlim[i] = float(token.next())
ylim[i] = float(token.next())
else:
xlim = [0]
ylim = [0]
# Construct R-Z mesh
r = np.zeros([nxefit, nyefit])
z = r.copy()
for i in range(nxefit):
r[i,:] = rgrid1 + xdim*i/float(nxefit-1)
for j in range(nyefit):
z[:,j] = (zmid-0.5*zdim) + zdim*j/float(nyefit-1)
# Create dictionary of values to return
result = {'nx': nxefit, 'ny':nyefit, # Number of horizontal and vertical points
'r':r, 'z':z, # Location of the grid-poinst
'rdim':xdim, 'zdim':zdim, # Size of the domain in meters
'rcentr':rcentr, 'bcentr':bcentr, # Reference vacuum toroidal field (m, T)
'rgrid1':rgrid1, # R of left side of domain
'zmid':zmid, # Z at the middle of the domain
'rmagx':rmagx, 'zmagx':zmagx, # Location of magnetic axis
'simagx':simagx, # Poloidal flux at the axis (Weber / rad)
'sibdry':sibdry, # Poloidal flux at plasma boundary (Weber / rad)
'cpasma':cpasma,
'psi':psi, # Poloidal flux in Weber/rad on grid points
'fpol':fpol, # Poloidal current function on uniform flux grid
'pressure':pres, # Plasma pressure in nt/m^2 on uniform flux grid
'qpsi':qpsi, # q values on uniform flux grid
'nbdry':nbdry, 'rbdry':rbdry, 'zbdry':zbdry, # Plasma boundary
'nlim':nlim, 'xlim':xlim, 'ylim':ylim} # Wall boundary
return result
def read(f):
""" Reads a DSKGATO ('t') file
Parameters
----------
infile = Input file. Can either be a file-like object,
or a string. If a string, then treated as a file name
and opened.
Returns
-------
A dictionary with the following keys:
npsi Number of points in psi
npol Number of poloidal points
psi [npsi] psi values
f(psi) [npsi] = R * Bt
p [npsi] Pressure
R [npsi, npol] Major radius [m]
Z [npsi, npol] Height [m]
Bp [npsi, npol] Poloidal magnetic field [T]
Bt [npsi, npol] Toroidal magnetic field [T]
q [npsi] Safety factor
pprime [npsi] Pressure gradient dP/dpsi
ffprime [npsi] f * df/dpsi
may contain the following additional keys:
Br [npsi, npol] Radial magnetic field [T]
Bz [npsi, npol] Vertical magnetic field [T]
"""
if isinstance(f, basestring):
# If the input is a string, treat as file name
with open(f) as fh: # Ensure file is closed
return read(fh) # Call again with file object
# First line contains the date
date = f.readline()
if not date:
raise IOError("Cannot read from input file "+str(filename))
# Second is description
desc = f.readline()
token = file_numbers(f)
# Third contains number of mesh points
try:
npsi = int(token.next())
ntheta = int(token.next())
isym = int(token.next())
except StopIteration:
raise IOError("Unexpected end of file while reading grid size")
except ValueError:
raise IOError("Third line should contain npsi, ntheta and isym")
# Check values
if (isym < 0) or (isym > 1):
raise IOError("isym must be either 0 or 1")
if (npsi < 1) or (ntheta < 1):
raise IOError("Invalid npsi="+str(npsi)+" or ntheta=" + str(ntheta))
# Read normalisation factors
try:
rcnt = float(token.next())
xma = float(token.next())
zma = float(token.next())
btor = float(token.next())
curtot = float(token.next())
eaxe = float(token.next())
dnorm = float(token.next())
except:
raise IOError("Couldn't read normalisation factors")
def read_array(n, name="Unknown"):
data = np.zeros([n])
try:
for i in np.arange(n):
data[i] = float(token.next())
except:
raise IOError("Failed reading array '"+name+"' of size ", n)
return data
def read_2d(nx, ny, name="Unknown"):
data = np.zeros([nx, ny])
for i in np.arange(nx):
data[i,:] = read_array(ny, name+"["+str(i)+"]")
return data
# Read 1D arrays
psiflux = read_array(npsi, "psiflux")
fnorm = read_array(npsi, "fnorm")
ffpnorm = read_array(npsi, "ffpnorm")
ponly = read_array(npsi, "ponly")
pponly = read_array(npsi, "pponly")
qsf = read_array(npsi, "qsf")
d = read_array(npsi, "d")
dpdz = read_array(ntheta, "dpdz")
dpdr = read_array(ntheta, "dpdr")
# 2D arrays
xnorm = read_2d(ntheta, npsi, "xnorm")
znorm = read_2d(ntheta, npsi, "znorm")
# Try to read Br and Bz (may be present)
try:
Br = read_2d(ntheta, npsi, "Br")
Bz = read_2d(ntheta, npsi, "Bz")
except:
Br = Bz = None
ny = ntheta
if isym == 1:
# Fill in values for up-down symmetric case
print "Grid is up-down symmetric. Reflecting grid about midplane"
ny = tsize = 2*(ntheta - 1) + 1
def reflect(data, mapfunc = lambda x:x):
""" Reflect a variable about midplane
Optionally supply a mapping function"""
data2 = np.zeros([tsize, npsi])
# Copy the original data
for i in np.arange(ntheta):
data2[i,:] = data[i,:]
# Now fill in the remainder
for i in np.arange(ntheta, tsize):
t0 = tsize - 1 - i
data2[i,:] = mapfunc(data[t0,:])
return data2
xnorm = reflect(xnorm)
znorm = reflect(znorm, lambda x: 2.*zma - x) # Reflect about zma
if Br != None:
Br = reflect(Br, lambda x:-x) # Br reverses
if Bz != None:
Bz = reflect(Bz) # Bz remains the same
theta = tsize
# Make sure we have Br, Bz and Bpol
if (Br == None) or (Bz == None):
# Calculate Bpol from psi then Br and Bz from Bpol
# Use dpsi = R*Bp dx (for now)
Bpol = np.zeros([ny, npsi])
def deriv(f):
n = np.size(f)
dfdi = np.zeros(n)
dfdi[1:-1] = (f[2:n] - f[0:-2])/2. # Central difference in the middle
dfdi[0] = f[1] - f[0]
dfdi[-1] = f[-1] - f[-2]
return dfdi
for i in np.arange(ntheta):
drdi = deriv(xnorm[i, :])
dzdi = deriv(znorm[i, :])
dldi = sqrt(drdi**2 + dzdi**2) # Arc length
dpsidi = deriv(psiflux)
Bpol[i, :] = dpsidi / (dldi * xnorm[i,:])
else:
Bpol = np.sqrt(Br**2 + Bz**2)
# Calculate toroidal field
Btor = fnorm / xnorm
#########################################
# Create a dictionary of values to return
#
# Need to transpose 2D arrays to [psi, theta]
# to be consistent with elite inputs
var = {"npsi":npsi, "npol":ny, # Sizes
"psi":psiflux,
"f(psi)":fnorm,
"p":ponly,
"R": np.transpose(xnorm),
"Z": np.transpose(znorm),
"Bp":np.transpose(Bpol),
"Bt":np.transpose(Btor),
"q":qsf,
"ffprime":ffpnorm,
"pprime":pponly}
if Br != None:
var['Br'] = np.transpose(Br)
if Bz != None:
var['Bz'] = np.transpose(Bz)
return var
def read(f):
""" Reads a DSKGATO ('t') file
Parameters
----------
infile = Input file. Can either be a file-like object,
or a string. If a string, then treated as a file name
and opened.
Returns
-------
A dictionary with the following keys:
npsi Number of points in psi
npol Number of poloidal points
psi [npsi] psi values
f(psi) [npsi] = R * Bt
p [npsi] Pressure
R [npsi, npol] Major radius [m]
Z [npsi, npol] Height [m]
Bp [npsi, npol] Poloidal magnetic field [T]
Bt [npsi, npol] Toroidal magnetic field [T]
q [npsi] Safety factor
pprime [npsi] Pressure gradient dP/dpsi
ffprime [npsi] f * df/dpsi
may contain the following additional keys:
Br [npsi, npol] Radial magnetic field [T]
Bz [npsi, npol] Vertical magnetic field [T]
"""
if isinstance(f, basestring):
# If the input is a string, treat as file name
with open(f) as fh: # Ensure file is closed
return read(fh) # Call again with file object
# First line contains the date
date = f.readline()
if not date:
raise IOError("Cannot read from input file " + str(filename))
# Second is description
desc = f.readline()
token = file_numbers(f)
# Third contains number of mesh points
try:
npsi = int(token.next())
ntheta = int(token.next())
isym = int(token.next())
except StopIteration:
raise IOError("Unexpected end of file while reading grid size")
except ValueError:
raise IOError("Third line should contain npsi, ntheta and isym")
# Check values
if (isym < 0) or (isym > 1):
raise IOError("isym must be either 0 or 1")
if (npsi < 1) or (ntheta < 1):
raise IOError("Invalid npsi=" + str(npsi) + " or ntheta=" +
str(ntheta))
# Read normalisation factors
try:
rcnt = float(token.next())
xma = float(token.next())
zma = float(token.next())
btor = float(token.next())
curtot = float(token.next())
eaxe = float(token.next())
dnorm = float(token.next())
except:
raise IOError("Couldn't read normalisation factors")
def read_array(n, name="Unknown"):
data = np.zeros([n])
try:
for i in np.arange(n):
data[i] = float(token.next())
except:
raise IOError("Failed reading array '" + name + "' of size ", n)
return data
def read_2d(nx, ny, name="Unknown"):
data = np.zeros([nx, ny])
for i in np.arange(nx):
data[i, :] = read_array(ny, name + "[" + str(i) + "]")
return data
# Read 1D arrays
psiflux = read_array(npsi, "psiflux")
fnorm = read_array(npsi, "fnorm")
ffpnorm = read_array(npsi, "ffpnorm")
ponly = read_array(npsi, "ponly")
pponly = read_array(npsi, "pponly")
qsf = read_array(npsi, "qsf")
d = read_array(npsi, "d")
dpdz = read_array(ntheta, "dpdz")
dpdr = read_array(ntheta, "dpdr")
# 2D arrays
xnorm = read_2d(ntheta, npsi, "xnorm")
znorm = read_2d(ntheta, npsi, "znorm")
# Try to read Br and Bz (may be present)
try:
Br = read_2d(ntheta, npsi, "Br")
Bz = read_2d(ntheta, npsi, "Bz")
except:
Br = Bz = None
ny = ntheta
if isym == 1:
# Fill in values for up-down symmetric case
print("Grid is up-down symmetric. Reflecting grid about midplane")
ny = tsize = 2 * (ntheta - 1) + 1
def reflect(data, mapfunc=lambda x: x):
""" Reflect a variable about midplane
Optionally supply a mapping function"""
data2 = np.zeros([tsize, npsi])
# Copy the original data
for i in np.arange(ntheta):
data2[i, :] = data[i, :]
# Now fill in the remainder
for i in np.arange(ntheta, tsize):
t0 = tsize - 1 - i
data2[i, :] = mapfunc(data[t0, :])
return data2
xnorm = reflect(xnorm)
znorm = reflect(znorm, lambda x: 2. * zma - x) # Reflect about zma
if Br != None:
Br = reflect(Br, lambda x: -x) # Br reverses
if Bz != None:
Bz = reflect(Bz) # Bz remains the same
theta = tsize
# Make sure we have Br, Bz and Bpol
if (Br == None) or (Bz == None):
# Calculate Bpol from psi then Br and Bz from Bpol
# Use dpsi = R*Bp dx (for now)
Bpol = np.zeros([ny, npsi])
def deriv(f):
n = np.size(f)
dfdi = np.zeros(n)
dfdi[1:-1] = (f[2:n] -
f[0:-2]) / 2. # Central difference in the middle
dfdi[0] = f[1] - f[0]
dfdi[-1] = f[-1] - f[-2]
return dfdi
for i in np.arange(ntheta):
drdi = deriv(xnorm[i, :])
dzdi = deriv(znorm[i, :])
dldi = sqrt(drdi**2 + dzdi**2) # Arc length
dpsidi = deriv(psiflux)
Bpol[i, :] = dpsidi / (dldi * xnorm[i, :])
else:
Bpol = np.sqrt(Br**2 + Bz**2)
# Calculate toroidal field
Btor = fnorm / xnorm
#########################################
# Create a dictionary of values to return
#
# Need to transpose 2D arrays to [psi, theta]
# to be consistent with elite inputs
var = {
"npsi": npsi,
"npol": ny, # Sizes
"psi": psiflux,
"f(psi)": fnorm,
"p": ponly,
"R": np.transpose(xnorm),
"Z": np.transpose(znorm),
"Bp": np.transpose(Bpol),
"Bt": np.transpose(Btor),
"q": qsf,
"ffprime": ffpnorm,
"pprime": pponly
}
if Br != None:
var['Br'] = np.transpose(Br)
if Bz != None:
var['Bz'] = np.transpose(Bz)
return var