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authorAaron LI <aaronly.me@outlook.com>2016-07-04 21:18:02 +0800
committerAaron LI <aaronly.me@outlook.com>2016-07-04 21:18:02 +0800
commitc75ea86c0b86d6cb1cd9131306aa77d5e785f190 (patch)
tree028acfc113ca5901f25d62b2d5f8acf57ab38ac5
parent9d2c3a9052a764d85745de4a3b5c34a5a26805d6 (diff)
downloadcexcess-c75ea86c0b86d6cb1cd9131306aa77d5e785f190.tar.bz2
calc_mass_potential.py: update units to "kpc"; update config
-rwxr-xr-xcalc_mass_potential.py129
1 files changed, 59 insertions, 70 deletions
diff --git a/calc_mass_potential.py b/calc_mass_potential.py
index b038050..8122aef 100755
--- a/calc_mass_potential.py
+++ b/calc_mass_potential.py
@@ -2,9 +2,12 @@
#
# Aaron LI
# Created: 2016-06-24
-# Updated: 2016-06-29
+# Updated: 2016-07-04
#
# Change logs:
+# 2016-07-04:
+# * Remove unnecessary configuration options
+# * Update radii unit to be "kpc", mass unit to be "Msun"
# 2016-06-29:
# * Update "plot()" to support electron number density profile
# 2016-06-28:
@@ -112,21 +115,14 @@ Sample configuration file:
## Configuration for `calc_mass_potential.py`
## Date: 2016-06-28
-# redshift used for pixel to distance conversion
-redshift = <REDSHIFT>
-
# electron density profile
ne_profile = ne_profile.txt
# cooling function profile
cf_profile = coolfunc_profile.txt
-# unit of the CF profile radius (default: pixel)
-cf_unit = "pixel"
# temperature profile
t_profile = t_profile.txt
-# unit of the T profile radius (default: pixel)
-t_unit = "pixel"
# number of data points for the output profiles (interpolation)
num_dp = 1000
@@ -180,8 +176,7 @@ class DensityProfile:
* gravitational potential profile (cut at the largest available radius)
NOTE:
- * The radii (of density profile and cooling function profile)
- should have unit [ cm ]
+ * The radii should have unit [ kpc ]
* The density should have unit [ cm^-3 ] or [ g cm^-3 ]
"""
# available splines
@@ -239,21 +234,35 @@ class DensityProfile:
def load_data(self, data, density_type="electron"):
if density_type not in self.DENSITY_TYPES:
raise ValueError("invalid density_types: %s" % density_type)
- # 3-column density profile: [r, r_err, density]
+ # 3-column density profile: r[kpc], r_err[kpc], density
self.r = data[:, 0].copy()
self.r_err = data[:, 1].copy()
self.d = data[:, 2].copy()
self.density_type = density_type
def load_cf_profile(self, data):
- # 2-column cooling function profile: r[cm], cf[flux/EM]
- self.cf_radius = data[:, 0].copy()
- self.cf_value = data[:, 1].copy()
+ if data.shape[1] == 2:
+ # 2-column cooling function profile: r[kpc], cf[flux/EM]
+ self.cf_radius = data[:, 0].copy()
+ self.cf_value = data[:, 1].copy()
+ elif data.shape[1] == 3:
+ # 3-column cooling function profile: r[kpc], r_err, cf[flux/EM]
+ self.cf_radius = data[:, 0].copy()
+ self.cf_value = data[:, 2].copy()
+ else:
+ raise ValueError("invalid cooling function profile data")
def load_t_profile(self, data):
- # 2-column temperature profile: r[cm], T[keV]
- self.t_radius = data[:, 0].copy()
- self.t_value = data[:, 1].copy()
+ if data.shape[1] == 2:
+ # 2-column temperature profile: r[kpc], T[keV]
+ self.t_radius = data[:, 0].copy()
+ self.t_value = data[:, 1].copy()
+ elif data.shape[1] == 3:
+ # 3-column temperature profile: r[kpc], r_err[kpc], T[keV]
+ self.t_radius = data[:, 0].copy()
+ self.t_value = data[:, 2].copy()
+ else:
+ raise ValueError("invalid temperature profile data")
def calc_density_electron(self):
"""
@@ -295,8 +304,9 @@ class DensityProfile:
# flux per unit volume
cf_new = self.eval_spline(spline="cooling_function", x=self.r)
flux = cf_new * ne ** 2 / AstroParams.ratio_ne_np
- # project the 3D flux
- projector = Projection(rout=self.r+self.r_err)
+ # project the 3D flux into 2D brightness
+ rout = (self.r + self.r_err) * au.kpc.to(au.cm)
+ projector = Projection(rout)
brightness = projector.project(flux)
return brightness
@@ -503,13 +513,13 @@ class DensityProfile:
if verbose:
print("Calculating the gas mass profile (#%d): ..." %
len(self.radius), end="", flush=True)
+ c = au.kpc.to(au.cm)**3 * au.g.to(au.solMass)
for i, r in enumerate(self.radius):
if verbose and (i+1) % 50 == 0:
print("%d..." % (i+1), end="", flush=True)
- # integrated gas mass [ g ]
- m_gas[i] = integrate.quad(_f_rho_gas, a=0.0, b=r,
- epsabs=1e-5*au.kpc.to(au.cm),
- epsrel=1e-3)[0]
+ # enclosed gas mass [ Msun ]
+ m_gas[i] = c * integrate.quad(_f_rho_gas, a=0.0, b=r,
+ epsrel=1e-3)[0]
if verbose:
print("DONE!", flush=True)
self.m_gas = m_gas
@@ -529,8 +539,8 @@ class DensityProfile:
#
# calculate the coefficient of the total mass formula
# M0 = (k_B * T_gas(r) * r) / (mu * m_atom * G)
- M0 = ((1.0*au.keV) * (1.0*au.cm) /
- (AstroParams.mu * ac.u * ac.G)).to(au.g).value
+ M0 = ((1.0*au.keV) * (1.0*au.kpc) /
+ (AstroParams.mu * ac.u * ac.G)).to(au.solMass).value
m_total = np.zeros(self.radius.shape)
if verbose:
print("Calculating the total mass profile (#%d): ..." %
@@ -540,11 +550,11 @@ class DensityProfile:
print("%d..." % (i+1), end="", flush=True)
T = self.eval_spline(spline="temperature", x=r)
dT_dr = derivative(lambda r: self.eval_spline("temperature", r),
- r, dx=0.01*au.kpc.to(au.cm))
+ r, dx=0.01)
ne = self.eval_spline(spline="electron", x=r)
dne_dr = derivative(lambda r: self.eval_spline("electron", r),
- r, dx=0.01*au.kpc.to(au.cm))
- # enclosed total mass [ g ]
+ r, dx=0.01)
+ # enclosed total mass [ Msun ]
m_total[i] = - M0 * T * r * (((r / T) * dT_dr) +
((r / ne) * dne_dr))
if verbose:
@@ -563,10 +573,12 @@ class DensityProfile:
if verbose:
print("Calculating the total mass density profile ...")
rho_total = np.zeros(self.radius.shape)
+ # unit conversion: Msun/kpc^3 -> g/cm^3
+ c = au.solMass.to(au.g) / au.kpc.to(au.cm)**3
for i, r in enumerate(self.radius):
dM_dr = derivative(lambda r: self.eval_spline("mass_total", r),
- r, dx=0.01*au.kpc.to(au.cm))
- rho_total[i] = (dM_dr / (4 * np.pi * r**2))
+ r, dx=0.01)
+ rho_total[i] = (dM_dr / (4 * np.pi * r**2)) * c
self.rho_total = rho_total
return rho_total
@@ -595,15 +607,15 @@ class DensityProfile:
print("Calculating the potential profile (#%d): ..." %
len(self.radius), end="", flush=True)
r_max = max(self.radius)
+ c = - 4 * np.pi * au.kpc.to(au.cm)**2
for i, r in enumerate(self.radius):
if verbose and (i+1) % 10 == 0:
print("%d..." % (i+1), end="", flush=True)
- potential[i] = - 4 * np.pi * ac.G.cgs.value * (
+ # total gravitational potential [ cm^2/s^2 ]
+ potential[i] = c * ac.G.cgs.value * (
(1/r) * integrate.quad(_int_inner, a=0.0, b=r,
- epsabs=1e-3*au.kpc.to(au.cm),
epsrel=1e-2)[0] +
integrate.quad(_int_outer, a=r, b=r_max,
- epsabs=1e-3*au.kpc.to(au.cm),
epsrel=1e-2)[0])
if verbose:
print("DONE!", flush=True)
@@ -611,26 +623,26 @@ class DensityProfile:
return potential
def plot(self, profile, with_spline=True, ax=None, fig=None):
- x = self.radius * au.cm.to(au.kpc)
+ x = self.radius
xlabel = "3D Radius"
xunit = "kpc"
xscale = "log"
yscale = "log"
x_spl, y_spl = None, None
if profile == "electron":
- x = self.r * au.cm.to(au.kpc)
+ x = self.r
y = self.ne
ylabel = "Electron number density"
yunit = "cm$^{-3}$"
if with_spline:
- x_spl = self.radius * au.cm.to(au.kpc)
+ x_spl = self.radius
y_spl = self.eval_spline(spline="electron", x=self.radius)
elif profile == "mass_gas":
- y = self.m_gas * au.g.to(au.solMass)
+ y = self.m_gas
ylabel = "Gas mass"
yunit = "M$_{\odot}$"
elif profile == "mass_total":
- y = self.m_total * au.g.to(au.solMass)
+ y = self.m_total
ylabel = "Total mass"
yunit = "M$_{\odot}$"
elif profile == "rho_total":
@@ -640,7 +652,7 @@ class DensityProfile:
elif profile == "potential":
y = self.potential
ylabel = "Gravitational potential"
- yunit = "???"
+ yunit = "cm$^2$/s$^2$"
yscale = "linear"
else:
raise ValueError("unknown profile name: %s" % profile)
@@ -653,7 +665,10 @@ class DensityProfile:
ax.set_xscale(xscale)
ax.set_yscale(yscale)
ax.set_xlim(min(x), max(x))
- ax.set_ylim(min(y)/1.2, max(y)*1.2)
+ y_min, y_max = min(y), max(y)
+ y_min = y_min/1.2 if y_min > 0 else y_min*1.2
+ y_max = y_max*1.2 if y_max > 0 else y_max/1.2
+ ax.set_ylim(y_min, y_max)
ax.set_xlabel(r"%s (%s)" % (xlabel, xunit))
ax.set_ylabel(r"%s (%s)" % (ylabel, yunit))
fig.tight_layout()
@@ -664,22 +679,22 @@ class DensityProfile:
data = np.column_stack([self.radius,
self.radius_err,
self.m_gas])
- header = "radius[cm] radius_err[cm] mass_gas(<r)[g]"
+ header = "radius[kpc] radius_err[kpc] mass_gas(<r)[Msun]"
elif profile == "mass_total":
data = np.column_stack([self.radius,
self.radius_err,
self.m_total])
- header = "radius[cm] radius_err[cm] mass_total(<r)[g]"
+ header = "radius[kpc] radius_err[kpc] mass_total(<r)[Msun]"
elif profile == "rho_total":
data = np.column_stack([self.radius,
self.radius_err,
self.rho_total])
- header = "radius[cm] radius_err[cm] density_total[g/cm^3]"
+ header = "radius[kpc] radius_err[kpc] density_total[g/cm^3]"
elif profile == "potential":
data = np.column_stack([self.radius,
self.radius_err,
self.potential])
- header = "radius[cm] radius_err[cm] potential[???]"
+ header = "radius[kpc] radius_err[kpc] potential[???]"
else:
raise ValueError("unknown profile name: %s" % profile)
np.savetxt(outfile, data, header=header)
@@ -692,37 +707,11 @@ def main():
help="config for mass and potential profiles " +
"calculation (default: mass_potential.conf)")
args = parser.parse_args()
-
config = ConfigObj(args.config)
- redshift = config.as_float("redshift")
- pixel = ChandraPixel(z=redshift)
-
ne_profile = np.loadtxt(config["ne_profile"])
-
cf_profile = np.loadtxt(config["cf_profile"])
- cf_unit = "pixel"
- try:
- cf_unit = config["cf_unit"]
- except KeyError:
- pass
- if cf_unit == "pixel":
- conv_factor = pixel.get_length().to(au.cm).value
- else:
- conv_factor = au.Unit(cf_unit).to(au.cm)
- cf_profile[:, 0] *= conv_factor
-
t_profile = np.loadtxt(config["t_profile"])
- t_unit = "pixel"
- try:
- t_unit = config["t_unit"]
- except KeyError:
- pass
- if t_unit == "pixel":
- conv_factor = pixel.get_length().to(au.cm).value
- else:
- conv_factor = au.Unit(t_unit).to(au.cm)
- t_profile[:, 0] *= conv_factor
density_profile = DensityProfile(density=ne_profile,
density_type="electron")