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@wtbarnes
Last active January 27, 2024 02:53
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Notebook showing some comparisons between CHIANTI IDL and fiasco for free-free and free-bound calculation
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{
"cells": [
{
"cell_type": "markdown",
"id": "8340d3e9-338b-4821-8b7b-9ff611113b15",
"metadata": {},
"source": [
"# Comparing Contribution Functions: `fiasco` versus CHIANTI IDL"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "85101b8b",
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-17T19:44:14.264362Z",
"start_time": "2023-01-17T19:44:11.285833Z"
}
},
"outputs": [],
"source": [
"import astropy.units as u\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import os\n",
"import hissw\n",
"\n",
"from astropy.utils.data import get_pkg_data_path\n",
"from astropy.visualization import quantity_support\n",
"\n",
"from fiasco import Ion"
]
},
{
"cell_type": "markdown",
"id": "664a8c8b-5f6e-472a-80fa-3ee3a789e01d",
"metadata": {},
"source": [
"First, setup a function that can run the contribution function in IDL for some sensible set of inputs."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "fd269154-e67d-4f4f-a97f-51691ee0817d",
"metadata": {},
"outputs": [],
"source": [
"def compute_g_of_t_idl(Z, iz, wavelength, density, index=None):\n",
" hissw.log.setLevel('DEBUG')\n",
" # setup idl environment\n",
" chianti_root = '/Users/wtbarnes/Documents/projects/chianti/database/CHIANTI_v8.0.7/'\n",
" ascii_dbase_root = os.path.join(chianti_root, 'dbase/')\n",
" idl_executable = '/Applications/harris/idl'\n",
" idl_codebase_root = os.path.join(chianti_root, 'idl/')\n",
" abundance_file = os.path.join(ascii_dbase_root, 'abundance/sun_coronal_1992_feldman_ext.abund')\n",
" ioneq_file = os.path.join(ascii_dbase_root, 'ioneq/chianti.ioneq')\n",
" extra_paths = [d for d, _, _ in os.walk(idl_codebase_root)]\n",
" header = f'''\n",
" defsysv,'!xuvtop','{ascii_dbase_root}'\n",
" defsysv,'!abund_file','{abundance_file}'\n",
" defsysv,'!ioneq_file','{ioneq_file}'\n",
" '''\n",
" #extra_paths += [get_pkg_data_path('ssw_gen_functions', package='fiasco.tests.idl')]\n",
" extra_paths += [d for d,_,_ in os.walk('/Users/wtbarnes/ssw/gen')]\n",
" env = hissw.Environment(\n",
" idl_only=True,\n",
" idl_home=idl_executable,\n",
" header=header,\n",
" extra_paths=extra_paths,\n",
" )\n",
" # setup inputs\n",
" wave_window = 1 * u.angstrom\n",
" args = {\n",
" 'Z': Z,\n",
" 'iz': iz,\n",
" 'wave_min': wavelength - wave_window,\n",
" 'wave_max': wavelength + wave_window,\n",
" 'index': index,\n",
" 'density': density,\n",
" 'abundance_file': abundance_file,\n",
" 'ioneq_file': ioneq_file, \n",
" }\n",
" # setup script to compute g_of_t\n",
" idl_script = \"\"\"\n",
" abund_file = '{{ abundance_file }}'\n",
" ioneq_file = '{{ ioneq_file }}'\n",
" density = {{ density | to_unit('cm-3') | log10 | force_double_precision }}\n",
" wave_min = {{ wave_min | to_unit('angstrom') | force_double_precision }}\n",
" wave_max = {{ wave_max | to_unit('angstrom') | force_double_precision }}\n",
" contribution_function = g_of_t({{ Z }},$\n",
" {{ iz }},$\n",
" dens=density,$\n",
" abund_file=abund_file,$\n",
" ioneq_file=ioneq_file,$\n",
" {% if index %}index={{ index }},/quiet,${% endif %}\n",
" wrange=[wave_min, wave_max])\n",
" read_ioneq,ioneq_file,temperature,ioneq,ref\n",
" \"\"\"\n",
" res = env.run(idl_script, args=args, save_vars=['temperature','contribution_function'])\n",
" Te = 10**res['temperature']*u.K\n",
" goft = res['contribution_function'] * u.Unit('erg cm3 s-1')\n",
" return Te, goft"
]
},
{
"cell_type": "markdown",
"id": "4ea785d5-f5a0-4bd8-ae68-a9c691160953",
"metadata": {},
"source": [
"Do the same for fiasco"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "a0e29e59",
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-17T19:45:36.084859Z",
"start_time": "2023-01-17T19:45:03.314572Z"
}
},
"outputs": [],
"source": [
"def compute_g_of_t_fiasco(temperature, Z, iz, wavelength, density):\n",
" ion = Ion((Z,iz), temperature, abundance_filename='sun_coronal_1992_feldman_ext', ioneq_filename='chianti')\n",
" contribution_func = ion.contribution_function(density)\n",
" transitions = ion.transitions.wavelength[~ion.transitions.is_twophoton]\n",
" idx = np.argmin(np.abs(transitions - wavelength))\n",
" print(f'Wavelength selected {transitions[idx]}')\n",
" return contribution_func[:, 0, idx]"
]
},
{
"cell_type": "markdown",
"id": "8cd47ba0-e118-4c04-9c86-933bb0bbce51",
"metadata": {},
"source": [
"And a function to compare the two outputs"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "525e0bda-43fa-4540-a972-6470fcb00b4a",
"metadata": {},
"outputs": [],
"source": [
"def plot_comparison(temperature, goft_idl, goft_fiasco, thresh = 1e-10):\n",
" # Highlight region where value of goft is within some value of the peak\n",
" i_goft = np.where(goft_idl>=goft_idl.max()*thresh)\n",
" t_thresh_min, t_thresh_max = temperature[i_goft[0][[0,-1]]]\n",
" \n",
" plt.figure(figsize=(15,5))\n",
" plt.subplot(131)\n",
" with quantity_support():\n",
" plt.plot(temperature, goft_fiasco, label='fiasco')\n",
" plt.plot(temperature, goft_idl, color='k', marker='o', ls='--', markevery=2, label='IDL')\n",
" plt.axvspan(temperature[0], t_thresh_min, color='r', alpha=0.25)\n",
" plt.axvspan(t_thresh_max, temperature[-1], color='r', alpha=0.25)\n",
" plt.xscale('log')\n",
" plt.yscale('log')\n",
" plt.title('g_of_t')\n",
" #plt.xlim(temperature[[0,-1]].value)\n",
" plt.xlim(1e5, 1e8)\n",
" plt.ylim(goft_fiasco.max().value*np.array([thresh,1.1]))\n",
" plt.legend()\n",
" plt.subplot(132)\n",
" with quantity_support():\n",
" plt.plot(temperature, (goft_fiasco/goft_idl).decompose())\n",
" plt.axvspan(temperature[0], t_thresh_min, color='r', alpha=0.25)\n",
" plt.axvspan(t_thresh_max, temperature[-1], color='r', alpha=0.25)\n",
" plt.axhline(y=1, color='k', ls=':')\n",
" plt.xscale('log')\n",
" plt.title('fiasco / IDL')\n",
" plt.xlim(temperature[[0,-1]].value)\n",
" plt.ylim(1-.05, 1+.05)\n",
" plt.subplot(133)\n",
" with quantity_support():\n",
" plt.plot(temperature, ((goft_fiasco - goft_idl)/goft_idl).decompose())\n",
" plt.axvspan(temperature[0], t_thresh_min, color='r', alpha=0.25)\n",
" plt.axvspan(t_thresh_max, temperature[-1], color='r', alpha=0.25)\n",
" plt.axhline(y=0, color='k', ls=':')\n",
" plt.xscale('log')\n",
" plt.title('(fiasco - IDL)/IDL')\n",
" #plt.ylim(-1e-2,1e-2)\n",
" plt.xlim(temperature[[0,-1]].value)\n",
" plt.ylim(-.05,.05)"
]
},
{
"cell_type": "markdown",
"id": "7e434095-3ec1-4c2b-aa51-d5ab50633289",
"metadata": {},
"source": [
"Set the density we are going to use."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "ac9b3e58",
"metadata": {
"ExecuteTime": {
"end_time": "2023-01-17T19:44:14.270256Z",
"start_time": "2023-01-17T19:44:14.266973Z"
}
},
"outputs": [],
"source": [
"density = 1e+10 * u.cm**(-3)"
]
},
{
"cell_type": "markdown",
"id": "75228073-9550-4610-be36-79eb791c1b4f",
"metadata": {},
"source": [
"Do all of these and make the comparison"
]
},
{
"cell_type": "markdown",
"id": "9dc4d90a-6984-440b-a09b-aeabbbf47898",
"metadata": {},
"source": [
"## Case 1: Ca XV 200.972 Å"
]
},
{
"cell_type": "code",
"execution_count": 83,
"id": "1911919f-e738-4f73-aa7e-ef1ad9d0f5c7",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"IDL 8.9.0 (darwin x86_64 m64).\n",
"(c) 2023, L3Harris Geospatial Solutions, Inc.\n",
"\n",
"Licensed for use by: ASA - Goddard Space Flight Center - Code 600, Science &\n",
" Exploration Directorate, Greenbelt - Greason\n",
"License: 234362\n",
"A new version is available: IDL 9.0\n",
"https://www.nv5geospatialsoftware.com/Product-Downloads/\n",
" \n",
"% Compiled module: HISSW_PROCEDURE.\n",
"% Compiled module: G_OF_T.\n",
"% Compiled module: READ_IONEQ.\n",
"% Compiled module: TRIM.\n",
"% Compiled module: READ_ABUND.\n",
"% Compiled module: EMISS_CALC.\n",
"% Compiled module: ZION2FILENAME.\n",
"% Compiled module: CONCAT_DIR.\n",
"% Compiled module: GET_LOGENV.\n",
"% Compiled module: OS_FAMILY.\n",
"% Compiled module: HAVE_TAG.\n",
"% Compiled module: GREP.\n",
"% Compiled module: APPEND_ARR.\n",
"% Compiled module: EXIST.\n",
"% Compiled module: SETUP_ION.\n",
"% Compiled module: ION2FILENAME.\n",
"% Compiled module: READ_IONREC.\n",
"% Compiled module: READ_WGFA2.\n",
"% Compiled module: READ_SPLUPS.\n",
"% Compiled module: READ_ELVLC.\n",
"% Compiled module: CONVERTNAME.\n",
"% Compiled module: STR_SEP.\n",
"% Compiled module: ZION2SPECTROSCOPIC.\n",
"% Compiled module: GET_UNIQ.\n",
"% Compiled module: SSW_UNIQ.\n",
"% Compiled module: DEFAULT.\n",
"% Compiled module: DATATYPE.\n",
"% Compiled module: CONVERT_CONFIG.\n",
"% Compiled module: REPSTR.\n",
"% Compiled module: STR_INDEX.\n",
"% Compiled module: VALID_NUM.\n",
"% Compiled module: READ_SCUPS.\n",
"% Compiled module: STRPAD.\n",
"% Compiled module: PROTON_DENS.\n",
"% Loaded DLM: LAPACK.\n",
"% Compiled module: POP_SOLVER.\n",
"% Compiled module: TAG_EXIST.\n",
"% Compiled module: ION2SPECTROSCOPIC.\n",
"% Compiled module: FILE_EXIST.\n",
"% Compiled module: IS_BLANK.\n",
"% Compiled module: IS_STRING.\n",
"% Compiled module: FILE_TEST2.\n",
"% Compiled module: IS_WINDOWS.\n",
"% Compiled module: DESCALE_ALL.\n",
"% Compiled module: DESCALE_SCUPS.\n",
"% Compiled module: MATRIX_SOLVER.\n",
"% Program caused arithmetic error: Floating underflow\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wavelength selected 200.9719 Angstrom\n"
]
},
{
"data": {
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"text/plain": [
"<Figure size 1500x500 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Z = 20\n",
"iz = 15\n",
"wavelength = 200.972*u.Angstrom\n",
"index = 297 # I got this by running the GUI selector once\n",
"temperature,goft_idl = compute_g_of_t_idl(Z, iz, wavelength, density, index=index)\n",
"goft_fiasco = compute_g_of_t_fiasco(temperature, Z, iz, wavelength, density)\n",
"plot_comparison(temperature, goft_idl, goft_fiasco, thresh=1e-10)"
]
},
{
"cell_type": "markdown",
"id": "bb2e6229-fb92-4784-87c8-8ecb56fb6e99",
"metadata": {},
"source": [
"## Case 2: Fe IX 197.862 Å"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "de98bd28-295e-4ddc-9ba1-1a958ad51f6f",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"IDL 8.9.0 (darwin x86_64 m64).\n",
"(c) 2023, L3Harris Geospatial Solutions, Inc.\n",
"\n",
"Licensed for use by: ASA - Goddard Space Flight Center - Code 600, Science &\n",
" Exploration Directorate, Greenbelt - Greason\n",
"License: 234362\n",
"A new version is available: IDL 9.0\n",
"https://www.nv5geospatialsoftware.com/Product-Downloads/\n",
" \n",
"% Compiled module: HISSW_PROCEDURE.\n",
"% Compiled module: G_OF_T.\n",
"% Compiled module: READ_IONEQ.\n",
"% Compiled module: TRIM.\n",
"% Compiled module: READ_ABUND.\n",
"% Compiled module: EMISS_CALC.\n",
"% Compiled module: ZION2FILENAME.\n",
"% Compiled module: CONCAT_DIR.\n",
"% Compiled module: GET_LOGENV.\n",
"% Compiled module: OS_FAMILY.\n",
"% Compiled module: HAVE_TAG.\n",
"% Compiled module: GREP.\n",
"% Compiled module: APPEND_ARR.\n",
"% Compiled module: EXIST.\n",
"% Compiled module: SETUP_ION.\n",
"% Compiled module: ION2FILENAME.\n",
"% Compiled module: READ_IONREC.\n",
"% Compiled module: READ_WGFA2.\n",
"% Compiled module: READ_SPLUPS.\n",
"% Compiled module: READ_ELVLC.\n",
"% Compiled module: CONVERTNAME.\n",
"% Compiled module: STR_SEP.\n",
"% Compiled module: ZION2SPECTROSCOPIC.\n",
"% Compiled module: GET_UNIQ.\n",
"% Compiled module: SSW_UNIQ.\n",
"% Compiled module: DEFAULT.\n",
"% Compiled module: DATATYPE.\n",
"% Compiled module: CONVERT_CONFIG.\n",
"% Compiled module: REPSTR.\n",
"% Compiled module: STR_INDEX.\n",
"% Compiled module: VALID_NUM.\n",
"% Compiled module: DELVARX.\n",
"% Compiled module: SINCE_VERSION.\n",
"% Compiled module: DELVARX2.\n",
"% Compiled module: DESTROY.\n",
"% Compiled module: READ_SCUPS.\n",
"% Compiled module: STRPAD.\n",
"% Compiled module: PROTON_DENS.\n",
"% Loaded DLM: LAPACK.\n",
"% Compiled module: POP_SOLVER.\n",
"% Compiled module: TAG_EXIST.\n",
"% Compiled module: ION2SPECTROSCOPIC.\n",
"% Compiled module: FILE_EXIST.\n",
"% Compiled module: IS_BLANK.\n",
"% Compiled module: IS_STRING.\n",
"% Compiled module: FILE_TEST2.\n",
"% Compiled module: IS_WINDOWS.\n",
"% Compiled module: DESCALE_ALL.\n",
"% Compiled module: DESCALE_SCUPS.\n",
"% Compiled module: MATRIX_SOLVER.\n",
"% Program caused arithmetic error: Floating underflow\n",
"% Program caused arithmetic error: Floating illegal operand\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wavelength selected 197.8663 Angstrom\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1500x500 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Z = 26\n",
"iz = 14\n",
"wavelength = 197.862*u.Angstrom\n",
"index = 27964\n",
"temperature,goft_idl = compute_g_of_t_idl(Z, iz, wavelength, density, index=index)\n",
"goft_fiasco = compute_g_of_t_fiasco(temperature, Z, iz, wavelength, density)\n",
"plot_comparison(temperature, goft_idl, goft_fiasco, thresh=1e-10)"
]
},
{
"cell_type": "markdown",
"id": "2140a5c0-9609-44b7-b636-fca6f945d09c",
"metadata": {},
"source": [
"## Case 3: Fe XI 188.497 Å"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "aa7271b6-0148-4678-93a2-8b3f72ebd58a",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"IDL 8.9.0 (darwin x86_64 m64).\n",
"(c) 2023, L3Harris Geospatial Solutions, Inc.\n",
"\n",
"Licensed for use by: ASA - Goddard Space Flight Center - Code 600, Science &\n",
" Exploration Directorate, Greenbelt - Greason\n",
"License: 234362\n",
"A new version is available: IDL 9.0\n",
"https://www.nv5geospatialsoftware.com/Product-Downloads/\n",
" \n",
"% Compiled module: HISSW_PROCEDURE.\n",
"% Compiled module: G_OF_T.\n",
"% Compiled module: READ_IONEQ.\n",
"% Compiled module: TRIM.\n",
"% Compiled module: READ_ABUND.\n",
"% Compiled module: EMISS_CALC.\n",
"% Compiled module: ZION2FILENAME.\n",
"% Compiled module: CONCAT_DIR.\n",
"% Compiled module: GET_LOGENV.\n",
"% Compiled module: OS_FAMILY.\n",
"% Compiled module: HAVE_TAG.\n",
"% Compiled module: GREP.\n",
"% Compiled module: APPEND_ARR.\n",
"% Compiled module: EXIST.\n",
"% Compiled module: SETUP_ION.\n",
"% Compiled module: ION2FILENAME.\n",
"% Compiled module: READ_IONREC.\n",
"% Compiled module: READ_WGFA2.\n",
"% Compiled module: READ_SPLUPS.\n",
"% Compiled module: READ_ELVLC.\n",
"% Compiled module: CONVERTNAME.\n",
"% Compiled module: STR_SEP.\n",
"% Compiled module: ZION2SPECTROSCOPIC.\n",
"% Compiled module: GET_UNIQ.\n",
"% Compiled module: SSW_UNIQ.\n",
"% Compiled module: DEFAULT.\n",
"% Compiled module: DATATYPE.\n",
"% Compiled module: CONVERT_CONFIG.\n",
"% Compiled module: REPSTR.\n",
"% Compiled module: STR_INDEX.\n",
"% Compiled module: VALID_NUM.\n",
"% Compiled module: READ_SCUPS.\n",
"% Compiled module: STRPAD.\n",
"% Compiled module: PROTON_DENS.\n",
"% Loaded DLM: LAPACK.\n",
"% Compiled module: POP_SOLVER.\n",
"% Compiled module: TAG_EXIST.\n",
"% Compiled module: ION2SPECTROSCOPIC.\n",
"% Compiled module: FILE_EXIST.\n",
"% Compiled module: IS_BLANK.\n",
"% Compiled module: IS_STRING.\n",
"% Compiled module: FILE_TEST2.\n",
"% Compiled module: IS_WINDOWS.\n",
"% Compiled module: DESCALE_ALL.\n",
"% Compiled module: DESCALE_SCUPS.\n",
"% Compiled module: MATRIX_SOLVER.\n",
"% Program caused arithmetic error: Floating underflow\n",
"% Program caused arithmetic error: Floating illegal operand\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wavelength selected 188.496 Angstrom\n"
]
},
{
"data": {
"image/png": 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