pyradex 0.2

Installation procedure for the f2py-wrapped version

You need to have gfortran and f2py on your path. If you’ve successfully built numpy from source, you should have both.

All you need to do is:

$ python setup.py install

This will call a procedure install_radex that downloads the latest version of RADEX from the radex homepage, patches the source, and builds a file radex.so, which is a python shared object that can be imported.

Using the f2py-wrapped version

The direct wrapper of the fortran code uses a class Radex as its underlying structure. This class is useful for direct manipulation of RADEX inputs and direct access to its outputs.

Example: .. code-block:: python

import pyradex import numpy as np Rlvg = pyradex.Radex(collider_densities={‘oH2’:900,’pH2’:100}, column=1e16, species=’co’,method=’lvg’) Rlvg.run_radex() print Rlvg.level_population[:3],Rlvg.tex[:3],Rlvg.tau[:3],Rlvg.tex[:3]*(1-np.exp(-Rlvg.tau[:3])) Rslab = pyradex.Radex(collider_densities={‘oH2’:900,’pH2’:100}, column=1e16, species=’co’,method=’slab’) Rslab.run_radex() print Rslab.level_population[:3],Rslab.tex[:3],Rslab.tau[:3],Rslab.tex[:3]*(1-np.exp(-Rslab.tau[:3])) Rsphere = pyradex.Radex(collider_densities={‘oH2’:900,’pH2’:100}, column=1e16, species=’co’,method=’sphere’) Rsphere.run_radex() print Rsphere.level_population[:3],Rsphere.tex[:3],Rsphere.tau[:3],Rsphere.tex[:3]*(1-np.exp(-Rsphere.tau[:3]))

Result:

[ 0.21720238  0.45362191  0.27314034] [ 15.27471017  10.86732113   8.30670325] [ 0.93769234  2.74275176  2.01021824] [  9.29419812  10.16754271   7.19394197]
[ 0.17957399  0.39486278  0.31297916] [ 17.80769375  14.88651187  11.44840706] [ 0.68134195  1.96024231  2.03949857] [  8.79811204  12.79012934   9.95903882]
[ 0.23532836  0.4805592   0.24340073] [ 14.38256087   9.28920338   7.50189024] [ 1.06765592  3.16666395  1.84556901] [ 9.43764227  8.89771958  6.31707599]

Note that because of how RADEX was written, i.e. with common blocks, the values stored in each of these objects is identical! You cannot have two independent copies of the RADEX class ever.

Recommended installation procedure for the command-line version

1. make radex as normal, but create two executables: radex_sphere, radex_lvg, and radex_slab by building with one of these three lines commented out each time:

   c      parameter (method = 1)  ! uniform sphere
         parameter (method = 2)  ! expanding sphere (LVG)
   c      parameter (method = 3)  ! plane parallel slab (shock)

2. Copy these to your system path

3. python setup.py install to install pyradex

Simple example

Using some trivial defaults:

In [1]: import pyradex

In [2]: T = pyradex.radex(collider_densities={'H2':1000})
WARNING: Assumed thermal o/p ratio since only H2 was given but collider file has o- and p- H2 [pyradex.core]

In [3]: T.pprint(show_units=True)
J_up J_low E_UP   FREQ      WAVE    T_EX    TAU      T_R   POP_UP POP_LOW FLUX_Kkms    FLUX_Inu
            K     GHz        um      K                K                    K km / s erg / (cm2 s)
---- ----- ---- -------- --------- ----- --------- ------- ------ ------- --------- -------------
   1     0  5.5 115.2712 2600.7576 5.044 0.0004447 0.00086 0.4709    0.47 0.0009155     1.806e-11

In [4]: T.meta
Out[4]:
{'Column density [cm-2]': '1.000E+12',
 'Density of H2  [cm-3]': '1.000E+03',
 'Density of oH2 [cm-3]': '3.509E-04',
 'Density of pH2 [cm-3]': '1.000E+03',
 'Geometry': 'Uniform sphere',
 'Line width     [km/s]': '1.000',
 'Molecular data file': '/Users/adam/repos/Radex/data/co.dat',
 'Radex version': '20nov08',
 'T(background)     [K]': '2.730',
 'T(kin)            [K]': '10.000'}

Timing information

i.e., how fast is it?:

%timeit T = pyradex.radex(collider_densities={'H2':1000})
1 loops, best of 3: 149 ms per loop


for n in 10**np.arange(6):
   %timeit T = pyradex.radex(collider_densities={'H2':n})

10 loops, best of 3: 149 ms per loop
10 loops, best of 3: 150 ms per loop
10 loops, best of 3: 149 ms per loop
10 loops, best of 3: 151 ms per loop
10 loops, best of 3: 150 ms per loop
10 loops, best of 3: 149 ms per loop

for n in 10**np.arange(12,18):
   ....:     %timeit T = pyradex.radex(collider_densities={'H2':1000}, column_density=n)

10 loops, best of 3: 149 ms per loop
10 loops, best of 3: 149 ms per loop
10 loops, best of 3: 149 ms per loop
10 loops, best of 3: 150 ms per loop
10 loops, best of 3: 152 ms per loop
10 loops, best of 3: 157 ms per loop

These results indicate that, even in highly optically thick cases where more iterations are required, the execution time is dominated by the python overheads.

If you redo these tests comparing the fortran wrapper to the “naive” version, the difference is enormous. The following tests can be seen in timing.py:

Python:  0.892609834671
Fortran:  0.0151958465576
py/fortran:  58.7403822016
Python:  0.902825832367
Fortran:  0.0102920532227
py/fortran:  87.7206727205
Python:  0.876524925232
Fortran:  0.0730140209198
py/fortran:  12.0048850096
Python:  0.836034059525
Fortran:  0.0925290584564
py/fortran:  9.03536762906
Python:  0.880390882492
Fortran:  0.0725519657135
py/fortran:  12.1346248008
Python:  0.96048283577
Fortran:  0.0753719806671
py/fortran:  12.7432346512

Making Grids

Is more efficient with the other script, but you can still do it…

for n in 10**np.arange(12,18):
    T = pyradex.radex(collider_densities={'H2':1000}, column_density=n)
    T.pprint()

Row# Line# E_UP   FREQ      WAVE    T_EX    TAU      T_R   POP_UP POP_LOW FLUX_Kkms  FLUX_Inu
---- ----- ---- -------- --------- ----- --------- ------- ------ ------- --------- ---------
   1     0  5.5 115.2712 2600.7576 5.044 0.0004447 0.00086 0.4709    0.47 0.0009155 1.806e-11
Row# Line# E_UP   FREQ      WAVE    T_EX   TAU      T_R    POP_UP POP_LOW FLUX_Kkms  FLUX_Inu
---- ----- ---- -------- --------- ----- -------- -------- ------ ------- --------- ---------
   1     0  5.5 115.2712 2600.7576 5.047 0.004444 0.008589  0.471  0.4698  0.009143 1.803e-10
Row# Line# E_UP   FREQ      WAVE    T_EX   TAU     T_R   POP_UP POP_LOW FLUX_Kkms  FLUX_Inu
---- ----- ---- -------- --------- ----- ------- ------- ------ ------- --------- ---------
   1     0  5.5 115.2712 2600.7576 5.075 0.04415 0.08473 0.4721  0.4681    0.0902 1.779e-09
Row# Line# E_UP   FREQ      WAVE    T_EX  TAU    T_R   POP_UP POP_LOW FLUX_Kkms  FLUX_Inu
---- ----- ---- -------- --------- ----- ------ ------ ------ ------- --------- ---------
   1     0  5.5 115.2712 2600.7576 5.336 0.4152 0.7475 0.4817  0.4527    0.7957 1.569e-08
Row# Line# E_UP   FREQ      WAVE    T_EX  TAU  T_R  POP_UP POP_LOW FLUX_Kkms  FLUX_Inu
---- ----- ---- -------- --------- ----- ----- ---- ------ ------- --------- ---------
   1     0  5.5 115.2712 2600.7576 6.929 2.927 3.49 0.5057  0.3745     3.715 7.327e-08
Row# Line# E_UP   FREQ      WAVE    T_EX  TAU  T_R  POP_UP POP_LOW FLUX_Kkms  FLUX_Inu
---- ----- ---- -------- --------- ----- ----- ---- ------ ------- --------- ---------
   1     0  5.5 115.2712 2600.7576 9.294 18.09 5.96 0.4696  0.2839     6.345 1.252e-07

If you want to create a grid with the directly wrapped version, do loops with constant temperature: every time you load a new temperature, RADEX must read in the molecular data file and interpolate across the collision rate values, which may be a substantial overhead.