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@smutch
Created September 2, 2013 05:08
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ipn: Convert and investigate Chiara's ascii photometric tables.
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{
"metadata": {
"gist_id": "6409364",
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The aim here is to take Chiara's photometric tables and then convert them into a unified format (probably in hdf5) that has all of the required metadata etc."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext gist\n",
"%pylab inline\n",
"import h5py as h5\n",
"import pandas as pd\n",
"from glob import glob\n",
"import re\n",
"from scipy.interpolate import interp1d\n",
"from astroML.plotting import hist\n",
"plt.rcParams['figure.figsize'] = (8, 6)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The gist extension is already loaded. To reload it, use:\n",
" %reload_ext gist\n",
"Populating the interactive namespace from numpy and matplotlib"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets read in one of the ascii files and take a look:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bands = (\"U\", \"Bub\", \"Bbv\", \"V\", \"Rc\", \"Ic\", \"J\", \"H\", \"K\", \"u\", \"g\", \"r\", \"i\", \"z\")\n",
"ages = pd.read_csv(\"conroy_agesMyr.dat\", skiprows=1, names=('age',), header=None)\n",
"data = pd.read_csv(\"magsVega_salp_Z0.002.c09\", sep=' ', names=bands, header=None)\n",
"data = data.join(ages, how='right')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 232
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.set_option(\"display.max_columns\", data.columns.size+3)\n",
"data[:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>U</th>\n",
" <th>Bub</th>\n",
" <th>Bbv</th>\n",
" <th>V</th>\n",
" <th>Rc</th>\n",
" <th>Ic</th>\n",
" <th>J</th>\n",
" <th>H</th>\n",
" <th>K</th>\n",
" <th>u</th>\n",
" <th>g</th>\n",
" <th>r</th>\n",
" <th>i</th>\n",
" <th>z</th>\n",
" <th>age</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 0.291</td>\n",
" <td> 1.236</td>\n",
" <td> 1.225</td>\n",
" <td> 1.381</td>\n",
" <td> 1.517</td>\n",
" <td> 1.673</td>\n",
" <td> 1.898</td>\n",
" <td> 1.972</td>\n",
" <td> 1.876</td>\n",
" <td> 0.086</td>\n",
" <td> 1.312</td>\n",
" <td> 1.364</td>\n",
" <td> 1.701</td>\n",
" <td> 1.665</td>\n",
" <td> 0.316228</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 0.302</td>\n",
" <td> 1.248</td>\n",
" <td> 1.236</td>\n",
" <td> 1.394</td>\n",
" <td> 1.530</td>\n",
" <td> 1.686</td>\n",
" <td> 1.913</td>\n",
" <td> 1.987</td>\n",
" <td> 1.892</td>\n",
" <td> 0.097</td>\n",
" <td> 1.324</td>\n",
" <td> 1.379</td>\n",
" <td> 1.713</td>\n",
" <td> 1.679</td>\n",
" <td> 0.334966</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 0.312</td>\n",
" <td> 1.260</td>\n",
" <td> 1.248</td>\n",
" <td> 1.408</td>\n",
" <td> 1.544</td>\n",
" <td> 1.700</td>\n",
" <td> 1.927</td>\n",
" <td> 2.001</td>\n",
" <td> 1.908</td>\n",
" <td> 0.108</td>\n",
" <td> 1.337</td>\n",
" <td> 1.393</td>\n",
" <td> 1.726</td>\n",
" <td> 1.694</td>\n",
" <td> 0.354814</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 0.309</td>\n",
" <td> 1.257</td>\n",
" <td> 1.245</td>\n",
" <td> 1.405</td>\n",
" <td> 1.541</td>\n",
" <td> 1.697</td>\n",
" <td> 1.925</td>\n",
" <td> 1.999</td>\n",
" <td> 1.906</td>\n",
" <td> 0.105</td>\n",
" <td> 1.334</td>\n",
" <td> 1.390</td>\n",
" <td> 1.723</td>\n",
" <td> 1.691</td>\n",
" <td> 0.375837</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 0.306</td>\n",
" <td> 1.254</td>\n",
" <td> 1.242</td>\n",
" <td> 1.402</td>\n",
" <td> 1.538</td>\n",
" <td> 1.694</td>\n",
" <td> 1.922</td>\n",
" <td> 1.996</td>\n",
" <td> 1.903</td>\n",
" <td> 0.102</td>\n",
" <td> 1.331</td>\n",
" <td> 1.387</td>\n",
" <td> 1.720</td>\n",
" <td> 1.688</td>\n",
" <td> 0.398107</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td> 0.307</td>\n",
" <td> 1.255</td>\n",
" <td> 1.244</td>\n",
" <td> 1.404</td>\n",
" <td> 1.540</td>\n",
" <td> 1.695</td>\n",
" <td> 1.924</td>\n",
" <td> 1.999</td>\n",
" <td> 1.906</td>\n",
" <td> 0.103</td>\n",
" <td> 1.332</td>\n",
" <td> 1.389</td>\n",
" <td> 1.722</td>\n",
" <td> 1.690</td>\n",
" <td> 0.421696</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td> 0.308</td>\n",
" <td> 1.256</td>\n",
" <td> 1.245</td>\n",
" <td> 1.405</td>\n",
" <td> 1.542</td>\n",
" <td> 1.697</td>\n",
" <td> 1.926</td>\n",
" <td> 2.001</td>\n",
" <td> 1.909</td>\n",
" <td> 0.103</td>\n",
" <td> 1.333</td>\n",
" <td> 1.391</td>\n",
" <td> 1.723</td>\n",
" <td> 1.692</td>\n",
" <td> 0.446684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td> 0.305</td>\n",
" <td> 1.254</td>\n",
" <td> 1.242</td>\n",
" <td> 1.403</td>\n",
" <td> 1.539</td>\n",
" <td> 1.694</td>\n",
" <td> 1.924</td>\n",
" <td> 1.999</td>\n",
" <td> 1.906</td>\n",
" <td> 0.100</td>\n",
" <td> 1.331</td>\n",
" <td> 1.388</td>\n",
" <td> 1.720</td>\n",
" <td> 1.690</td>\n",
" <td> 0.473151</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td> 0.302</td>\n",
" <td> 1.251</td>\n",
" <td> 1.239</td>\n",
" <td> 1.401</td>\n",
" <td> 1.537</td>\n",
" <td> 1.692</td>\n",
" <td> 1.921</td>\n",
" <td> 1.996</td>\n",
" <td> 1.904</td>\n",
" <td> 0.098</td>\n",
" <td> 1.328</td>\n",
" <td> 1.386</td>\n",
" <td> 1.717</td>\n",
" <td> 1.687</td>\n",
" <td> 0.501187</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td> 0.298</td>\n",
" <td> 1.246</td>\n",
" <td> 1.234</td>\n",
" <td> 1.396</td>\n",
" <td> 1.532</td>\n",
" <td> 1.687</td>\n",
" <td> 1.917</td>\n",
" <td> 1.992</td>\n",
" <td> 1.900</td>\n",
" <td> 0.093</td>\n",
" <td> 1.323</td>\n",
" <td> 1.381</td>\n",
" <td> 1.713</td>\n",
" <td> 1.683</td>\n",
" <td> 0.530884</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 233,
"text": [
" U Bub Bbv V Rc Ic J H K u \\\n",
"0 0.291 1.236 1.225 1.381 1.517 1.673 1.898 1.972 1.876 0.086 \n",
"1 0.302 1.248 1.236 1.394 1.530 1.686 1.913 1.987 1.892 0.097 \n",
"2 0.312 1.260 1.248 1.408 1.544 1.700 1.927 2.001 1.908 0.108 \n",
"3 0.309 1.257 1.245 1.405 1.541 1.697 1.925 1.999 1.906 0.105 \n",
"4 0.306 1.254 1.242 1.402 1.538 1.694 1.922 1.996 1.903 0.102 \n",
"5 0.307 1.255 1.244 1.404 1.540 1.695 1.924 1.999 1.906 0.103 \n",
"6 0.308 1.256 1.245 1.405 1.542 1.697 1.926 2.001 1.909 0.103 \n",
"7 0.305 1.254 1.242 1.403 1.539 1.694 1.924 1.999 1.906 0.100 \n",
"8 0.302 1.251 1.239 1.401 1.537 1.692 1.921 1.996 1.904 0.098 \n",
"9 0.298 1.246 1.234 1.396 1.532 1.687 1.917 1.992 1.900 0.093 \n",
"\n",
" g r i z age \n",
"0 1.312 1.364 1.701 1.665 0.316228 \n",
"1 1.324 1.379 1.713 1.679 0.334966 \n",
"2 1.337 1.393 1.726 1.694 0.354814 \n",
"3 1.334 1.390 1.723 1.691 0.375837 \n",
"4 1.331 1.387 1.720 1.688 0.398107 \n",
"5 1.332 1.389 1.722 1.690 0.421696 \n",
"6 1.333 1.391 1.723 1.692 0.446684 \n",
"7 1.331 1.388 1.720 1.690 0.473151 \n",
"8 1.328 1.386 1.717 1.687 0.501187 \n",
"9 1.323 1.381 1.713 1.683 0.530884 "
]
}
],
"prompt_number": 233
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = data.plot(x='age', logx=True)\n",
"ax.set_xlabel(\"Age (Myr)\")\n",
"ax.set_ylabel(\"Abs. Mag\")\n",
"leg = ax.get_legend()\n",
"leg.set_bbox_to_anchor((1.2,1.0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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6PMxcm8OBchtBBi3TL0uhd+035L58B6rbTkDXS4m47V0MUUmNup6iqqw7Ws07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opTFTxxahHH9E3hmc06y5qtifrGCy4tVEn4gb3DTCn5b10Zfymdz/rORgBGJES4pY/BxORKHMIK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\n",
"text": [
"<matplotlib.figure.Figure at 0x10ddfd110>"
]
}
],
"prompt_number": 234
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok - now let's read in all of the files so we can combine them how we want."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fnames = glob(\"magsVega_salp_*.c09\")\n",
"metal_vals = [float(re.search('Z0\\.[0-9]+', f).group()[1:]) for f in fnames]\n",
"phototabs = pd.DataFrame()\n",
"for val, f in zip(metal_vals, fnames):\n",
" temp = pd.read_csv(f, sep=' ', names=bands, header=None, )\n",
" temp[\"metallicity\"] = pd.Series(np.repeat(val, len(temp.index)), name=\"metallicity\")\n",
" temp = temp.join(ages)\n",
" phototabs = phototabs.append(temp)\n",
"cols = phototabs.columns.tolist()\n",
"cols = ['metallicity',]+cols[:12]+cols[13:]\n",
"phototabs = phototabs[cols]\n",
"metallicities = phototabs.groupby('metallicity')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 235
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"phototabs[:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>metallicity</th>\n",
" <th>Bbv</th>\n",
" <th>Bub</th>\n",
" <th>H</th>\n",
" <th>Ic</th>\n",
" <th>J</th>\n",
" <th>K</th>\n",
" <th>Rc</th>\n",
" <th>U</th>\n",
" <th>V</th>\n",
" <th>age</th>\n",
" <th>g</th>\n",
" <th>i</th>\n",
" <th>r</th>\n",
" <th>u</th>\n",
" <th>z</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.300</td>\n",
" <td> 1.310</td>\n",
" <td> 1.972</td>\n",
" <td> 1.732</td>\n",
" <td> 1.922</td>\n",
" <td> 1.864</td>\n",
" <td> 1.576</td>\n",
" <td> 0.364</td>\n",
" <td> 1.452</td>\n",
" <td> 0.316228</td>\n",
" <td> 1.381</td>\n",
" <td> 1.759</td>\n",
" <td> 1.429</td>\n",
" <td> 0.156</td>\n",
" <td> 1.707</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.298</td>\n",
" <td> 1.307</td>\n",
" <td> 1.970</td>\n",
" <td> 1.729</td>\n",
" <td> 1.919</td>\n",
" <td> 1.861</td>\n",
" <td> 1.573</td>\n",
" <td> 0.362</td>\n",
" <td> 1.449</td>\n",
" <td> 0.334966</td>\n",
" <td> 1.378</td>\n",
" <td> 1.756</td>\n",
" <td> 1.426</td>\n",
" <td> 0.153</td>\n",
" <td> 1.704</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.295</td>\n",
" <td> 1.304</td>\n",
" <td> 1.967</td>\n",
" <td> 1.726</td>\n",
" <td> 1.917</td>\n",
" <td> 1.858</td>\n",
" <td> 1.570</td>\n",
" <td> 0.359</td>\n",
" <td> 1.445</td>\n",
" <td> 0.354814</td>\n",
" <td> 1.375</td>\n",
" <td> 1.753</td>\n",
" <td> 1.422</td>\n",
" <td> 0.150</td>\n",
" <td> 1.700</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.292</td>\n",
" <td> 1.302</td>\n",
" <td> 1.965</td>\n",
" <td> 1.724</td>\n",
" <td> 1.914</td>\n",
" <td> 1.856</td>\n",
" <td> 1.567</td>\n",
" <td> 0.356</td>\n",
" <td> 1.443</td>\n",
" <td> 0.375837</td>\n",
" <td> 1.373</td>\n",
" <td> 1.751</td>\n",
" <td> 1.419</td>\n",
" <td> 0.148</td>\n",
" <td> 1.698</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.290</td>\n",
" <td> 1.299</td>\n",
" <td> 1.963</td>\n",
" <td> 1.721</td>\n",
" <td> 1.912</td>\n",
" <td> 1.853</td>\n",
" <td> 1.565</td>\n",
" <td> 0.354</td>\n",
" <td> 1.440</td>\n",
" <td> 0.398107</td>\n",
" <td> 1.370</td>\n",
" <td> 1.749</td>\n",
" <td> 1.417</td>\n",
" <td> 0.146</td>\n",
" <td> 1.695</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.288</td>\n",
" <td> 1.298</td>\n",
" <td> 1.962</td>\n",
" <td> 1.720</td>\n",
" <td> 1.910</td>\n",
" <td> 1.852</td>\n",
" <td> 1.563</td>\n",
" <td> 0.353</td>\n",
" <td> 1.438</td>\n",
" <td> 0.421696</td>\n",
" <td> 1.369</td>\n",
" <td> 1.747</td>\n",
" <td> 1.414</td>\n",
" <td> 0.144</td>\n",
" <td> 1.694</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.287</td>\n",
" <td> 1.296</td>\n",
" <td> 1.961</td>\n",
" <td> 1.718</td>\n",
" <td> 1.909</td>\n",
" <td> 1.851</td>\n",
" <td> 1.561</td>\n",
" <td> 0.351</td>\n",
" <td> 1.436</td>\n",
" <td> 0.446684</td>\n",
" <td> 1.367</td>\n",
" <td> 1.746</td>\n",
" <td> 1.412</td>\n",
" <td> 0.143</td>\n",
" <td> 1.692</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.283</td>\n",
" <td> 1.293</td>\n",
" <td> 1.957</td>\n",
" <td> 1.715</td>\n",
" <td> 1.906</td>\n",
" <td> 1.847</td>\n",
" <td> 1.558</td>\n",
" <td> 0.348</td>\n",
" <td> 1.432</td>\n",
" <td> 0.473151</td>\n",
" <td> 1.364</td>\n",
" <td> 1.743</td>\n",
" <td> 1.408</td>\n",
" <td> 0.140</td>\n",
" <td> 1.688</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.280</td>\n",
" <td> 1.289</td>\n",
" <td> 1.954</td>\n",
" <td> 1.711</td>\n",
" <td> 1.902</td>\n",
" <td> 1.844</td>\n",
" <td> 1.554</td>\n",
" <td> 0.345</td>\n",
" <td> 1.428</td>\n",
" <td> 0.501187</td>\n",
" <td> 1.360</td>\n",
" <td> 1.740</td>\n",
" <td> 1.404</td>\n",
" <td> 0.136</td>\n",
" <td> 1.684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td> 0.0002</td>\n",
" <td> 1.277</td>\n",
" <td> 1.287</td>\n",
" <td> 1.952</td>\n",
" <td> 1.709</td>\n",
" <td> 1.899</td>\n",
" <td> 1.841</td>\n",
" <td> 1.551</td>\n",
" <td> 0.342</td>\n",
" <td> 1.425</td>\n",
" <td> 0.530884</td>\n",
" <td> 1.358</td>\n",
" <td> 1.737</td>\n",
" <td> 1.400</td>\n",
" <td> 0.134</td>\n",
" <td> 1.681</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 236,
"text": [
" metallicity Bbv Bub H Ic J K Rc U V \\\n",
"0 0.0002 1.300 1.310 1.972 1.732 1.922 1.864 1.576 0.364 1.452 \n",
"1 0.0002 1.298 1.307 1.970 1.729 1.919 1.861 1.573 0.362 1.449 \n",
"2 0.0002 1.295 1.304 1.967 1.726 1.917 1.858 1.570 0.359 1.445 \n",
"3 0.0002 1.292 1.302 1.965 1.724 1.914 1.856 1.567 0.356 1.443 \n",
"4 0.0002 1.290 1.299 1.963 1.721 1.912 1.853 1.565 0.354 1.440 \n",
"5 0.0002 1.288 1.298 1.962 1.720 1.910 1.852 1.563 0.353 1.438 \n",
"6 0.0002 1.287 1.296 1.961 1.718 1.909 1.851 1.561 0.351 1.436 \n",
"7 0.0002 1.283 1.293 1.957 1.715 1.906 1.847 1.558 0.348 1.432 \n",
"8 0.0002 1.280 1.289 1.954 1.711 1.902 1.844 1.554 0.345 1.428 \n",
"9 0.0002 1.277 1.287 1.952 1.709 1.899 1.841 1.551 0.342 1.425 \n",
"\n",
" age g i r u z \n",
"0 0.316228 1.381 1.759 1.429 0.156 1.707 \n",
"1 0.334966 1.378 1.756 1.426 0.153 1.704 \n",
"2 0.354814 1.375 1.753 1.422 0.150 1.700 \n",
"3 0.375837 1.373 1.751 1.419 0.148 1.698 \n",
"4 0.398107 1.370 1.749 1.417 0.146 1.695 \n",
"5 0.421696 1.369 1.747 1.414 0.144 1.694 \n",
"6 0.446684 1.367 1.746 1.412 0.143 1.692 \n",
"7 0.473151 1.364 1.743 1.408 0.140 1.688 \n",
"8 0.501187 1.360 1.740 1.404 0.136 1.684 \n",
"9 0.530884 1.358 1.737 1.400 0.134 1.681 "
]
}
],
"prompt_number": 236
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Save the tables into an hdf5 file...\n",
"\n",
"Remember - we are going to want to select by band, therefore we want to create groups which are bands and then datasets which are metallicity values."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"with h5.File(\"vega.hdf5\", \"w\") as fout:\n",
" for b in bands:\n",
" group_out = fout.create_group(\"%s\"%b)\n",
" for name, g in metallicities:\n",
" group_out.create_dataset(\"%.04f\"%name, data=g[b], dtype='f4')\n",
" fout.create_dataset(\"age\", data=ages.values[:,0], dtype='f4')\n",
" fout[\"age\"].attrs[\"units\"] = \"Myr\""
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 237
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Comparing the tables and units\n",
"\n",
"I wrote a conversion script to automate the conversion to hdf5 of all of the conroy09 tables Chiara provided, as well as the original BVRIK Vega mags which were used by Croton+ 2006. Now let's compare them, sort out units etc.\n",
"\n",
"First off - let's just consider the Salpeter Vega Conroy09 and BC03 tables..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def add_to_dict(name, item, ds=None, ages=None):\n",
" if isinstance(item, h5.Dataset) and name!='age':\n",
" band, metal = name.split('/')\n",
" temp = pd.DataFrame(item[:], columns=[band,], dtype='f4')\n",
" temp['metallicity'] = metal\n",
" temp['age'] = ages\n",
" if band in ds:\n",
" ds[band] = pd.concat([ds[band], temp])\n",
" else:\n",
" ds[band] = temp.copy()\n",
"\n",
"def read_datasets(fname):\n",
" ds = {}\n",
" with h5.File(fname, \"r\") as fin:\n",
" ages = pd.Series(fin['age'][:], name='age', dtype='f4')\n",
" save_ds = lambda name, item : add_to_dict(name, item, ds=ds, ages=ages)\n",
" fin.visititems(save_ds)\n",
" data = pd.concat(list(ds.itervalues()), axis=1).T.drop_duplicates().T\n",
" for c in data.columns:\n",
" data[c] = data[c].astype('f8') # no idea why this is nesessary\n",
" return data\n",
"\n",
"bc03 = read_datasets(\"bc03/salpeter/vega.hdf5\")\n",
"conroy09 = read_datasets(\"conroy09/salpeter/vega.hdf5\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 238
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print np.intersect1d(conroy09.groupby('metallicity').groups.keys(), bc03.groupby('metallicity').groups.keys())"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.0004]\n"
]
}
],
"prompt_number": 239
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(1,2, figsize=(16,6))\n",
"for i, tab in enumerate([bc03, conroy09]):\n",
" grouped = tab.groupby('metallicity').get_group(0.0004).copy()\n",
" grouped = grouped.drop('metallicity', axis=1)\n",
" ax = axes[i]\n",
" grouped.plot(x='age', ax=ax)\n",
" ax.set_ylabel(\"Abs. Mag\")\n",
" ax.set_xlabel(\"Age\")\n",
" leg = ax.legend()\n",
" leg.set_bbox_to_anchor((1.1,1.0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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/EotJM6rK2WDsc1iy9/sCcm47q7wYlYjgsJjk/9MEkIAthBCCvf/8cwDmfuM6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\niSxjpam6LCq1LjNN1S58Vgi4LCVCeqp9JgYnhpbNF0Vxmbtc3KYLZy0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e3qBwUZ1CXdUg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\nl0fjql6RRBtc33kZq6pG2s7jAPQbGtNm1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bP/uiOHjZllmA06Fk3rQ2q/6BZf017n4uu0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\niGyAAzYRERERERGRDfwf1ZZpmPoE3M4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1106e9b10>"
]
}
],
"prompt_number": 240
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok - so the units are definitely different!\n",
"\n",
"Here is what I think the units are:\n",
"\n",
"| | BC03 | Conroy09 |\n",
"| --:| ---- | -------- |\n",
"| burst mass | 1e11 ${\\rm M_{\\odot}}$ | 1 ${\\rm M_{\\odot}}$ |\n",
"| age | $\\log_{10}$(1 Gyr) | 1 Myr |\n",
"\n",
"I have no idea what the hubble constants assumed are. I presume that I just need to pick a value and be consistent... (?)\n",
"\n",
"Lets convert everything to a burst mass of 1e6 ${\\rm M_{\\odot}}$ and ages in 1 Myr units."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bc03['age'] = (10.**bc03['age'])*1.e-6\n",
"fac = 1.e6/1.e11\n",
"for c in bc03.columns:\n",
" if c not in ('age', 'metallicity'):\n",
" bc03[c] -= 2.5*np.log10(fac)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 241
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fac = 1.e6\n",
"for c in conroy09.columns:\n",
" if c not in ('age', 'metallicity'):\n",
" conroy09[c] -= 2.5*np.log10(fac)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 242
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"labels = ('bc03', 'conroy09')\n",
"for i, tab in enumerate([bc03, conroy09]):\n",
" grouped = tab.groupby('metallicity').get_group(0.0004)\n",
" ax = grouped.plot(x='age', y='K', logx=True, label=labels[i])\n",
"ax.set_xlim(1e-1,1e5)\n",
"ax.set_ylabel(\"Abs. Mag\")\n",
"ax.set_xlabel(\"Age\")\n",
"ax.text(0.05,0.95,\"Z=0.0004\",transform=ax.transAxes)\n",
"ax.legend(loc='lower right')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 243,
"text": [
"<matplotlib.legend.Legend at 0x11142a6d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ya/B3d+HhyVH1HaIGBno0WDajzEh2eT5ZFSbyqkz1y8T42+9nppU6vl8hOoLV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\nABAREXVA/w9Hgx2xsjlNrAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x11142ad10>"
]
}
],
"prompt_number": 243
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's interpolate the conroy tables to Z=0.02:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vals = np.array([0.019, 0.024])\n",
"m0 = conroy09[conroy09['metallicity'] == vals[0]].sort('age')['K']\n",
"m1 = conroy09[conroy09['metallicity'] == vals[1]].sort('age')['K']\n",
"new = np.zeros(m0.index.shape)\n",
"for i in xrange(m0.index.size):\n",
" new[i] = interp1d(vals, [m0.values[i], m1.values[i]])(0.02)\n",
"ages = conroy09.groupby('metallicity').get_group(vals[0])['age']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 244
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = bc03.groupby('metallicity').get_group(0.02).plot(x='age', y='K', logx=True, label='bc03')\n",
"ax.text(0.05,0.95,\"Z=0.02\",transform=ax.transAxes)\n",
"ax.plot(ages, new, label='conroy09')\n",
"ax.set_xlim(1e-1,1e5)\n",
"ax.set_ylabel(\"Abs. Mag\")\n",
"ax.set_xlabel(\"Age\")\n",
"ax.legend(loc='lower right')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 245,
"text": [
"<matplotlib.legend.Legend at 0x110727710>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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JCsV3aF98E/rhNSAeOxenxj5FIVq8g/k65mw8Rna5/pzbBSm1TFr3A+bftqIA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\n",
"text": [
"<matplotlib.figure.Figure at 0x10f3b0a90>"
]
}
],
"prompt_number": 245
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Last check is that the bands match up (as much as I can tell anyway)..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"comp_list = (('Bbv', 'Bbv'), (\"I\", \"Ic\"), (\"Rc\", \"Rc\"))\n",
"for band in comp_list:\n",
" fig, ax = plt.subplots(1,1)\n",
" for i, tab in enumerate([bc03, conroy09]):\n",
" grouped = tab.groupby('metallicity').get_group(0.0004)\n",
" grouped.plot(x='age', y=band[i], ax=ax, logx=True)\n",
" ax.set_ylabel(\"Abs. Mag\")\n",
" ax.set_xlabel(\"Age\")\n",
" ax.set_xlim(1e-1,1e5)\n",
" ax.text(0.05,0.95,band[0],transform=ax.transAxes)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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m9K4DrB82CuNUKolNmpM6bSITbo7QwV9qhIsO4a9fvz7jx4/n4MGDfPzxxxw6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\nICIiEoRUAIiIiAQhFQAiIiJB6P8B5W8WEp+WCJMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x110cdce90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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h2gazEoB/z/2PiIhg7969lJSUoNPpUKsl0xZCWF99QTFbr32I6v0pOHfpTL8v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\n6yteyvvOnagAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x111703f90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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XrrHrExE5pt3/9zVrr70Xo9ZK1IQL6f3aLFJNftz26VaySmroFODFrFGx+HhY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\nAwAREVEA+n8krYlAvtVRMQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10f2be850>"
]
}
],
"prompt_number": 250
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well - they look as close as the K band anyway!... :)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Comparison of results\n",
"\n",
"I have implemented the new hdf5 mag table format in Meraxes. The `SSPModel`, `MagSystem`, `IMF` and `MagBands` can now alll be specified in the input file. Here are the results of a comparison between the bc03 and conroy09 B,V,R,I,K mags with a Salpeter IMF and Vega zero-point. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"with h5.File(\"mags.hdf5\", \"r\") as fin:\n",
" bc03 = fin['bc03'][:]\n",
" c09 = fin['c09'][:]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bands = [\"B\", \"V\", \"R\", \"I\", \"K\"]\n",
"\n",
"fig, axes = plt.subplots(2,3, figsize=(14,10))\n",
"axes = axes.ravel()\n",
"for i, b in enumerate(bands):\n",
" ax = axes[i]\n",
" vals, bins, _ = hist(bc03['Mag'][:,i], ax=ax, bins='knuth', histtype='step', label=\"bc03\", lw=2)\n",
" vals, bins, _ = hist(c09['Mag'][:,i], ax=ax, bins=bins, histtype='step', label=\"c09\", lw=2)\n",
" ax.set_yscale('log')\n",
" ax.set_ylabel(r\"N$_{\\rm gal}$\")\n",
" ax.set_xlabel(r\"M$_{\\rm\"+b+r\"}$\")\n",
" ax.legend(loc='upper right')\n",
"plt.tight_layout()\n",
"axes[-1].set_visible(False)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -159049.499929\n",
" Iterations: 20\n",
" Function evaluations: 55\n",
"Optimization terminated successfully."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" Current function value: -152336.190270\n",
" Iterations: 18\n",
" Function evaluations: 51\n",
"Optimization terminated successfully."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" Current function value: -151978.016831\n",
" Iterations: 18\n",
" Function evaluations: 49\n",
"Optimization terminated successfully."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" Current function value: -151701.805967\n",
" Iterations: 18\n",
" Function evaluations: 50\n",
"Optimization terminated successfully."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" Current function value: -150935.103490\n",
" Iterations: 18\n",
" Function evaluations: 50\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ZGRm1flWE1ErhLPSbzryK5lDr9vS7dxhRbZui83bNWRsaNYxkx8nlzlM+gAev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\nAAAAGEJTDgAAAACAIf8PTpcVPnufx74AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x108c43ed0>"
]
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"axes = plt.GridSpec(2,1, height_ratios=(3,1), hspace=0)\n",
"fig = plt.figure()\n",
"ax = plt.subplot(axes[0])\n",
"vals_bc03, bins, _ = hist(bc03['Mag'][:,0], ax=ax, bins='knuth', histtype='step', label=\"bc03\", lw=2)\n",
"vals_c09, bins, _ = hist(c09['Mag'][:,0], ax=ax, bins=bins, histtype='step', label=\"c09\", lw=2)\n",
"ax.legend(loc=\"upper right\")\n",
"ax.set_yscale('log')\n",
"ax.set_xlim((-25,-5))\n",
"ax.set_ylabel(r\"N$_{\\rm gal}$\")\n",
"ax.set_xlabel(r\"M$_{\\rm B}$\")\n",
"plt.setp(ax.get_xticklabels(), visible=False)\n",
"plt.setp(ax.get_yticklabels()[1], visible=False)\n",
"ax = plt.subplot(axes[1])\n",
"ax.axis((-25,-5,-2, 1))\n",
"bin_centers = bins[:-1]+(bins[1]-bins[0])/2.\n",
"ax.plot(bin_centers, (vals_bc03-vals_c09)/vals_bc03, 'k-')\n",
"ax.axhline(0, color='k', ls='--', alpha=0.5)\n",
"ax.set_ylabel(\"fractional difference\")\n",
"ax.set_xlabel(r\"M$_{\\rm B}$\")\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -159049.499929\n",
" Iterations: 20\n",
" Function evaluations: 55\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qOlFSjxY4UFDDoUJHEmDSay98kBCizRRFQdHr8Bk6kNgXVlJ3Kp9Gs43NWZUc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\n+RdCCCHEszEMGIyMjAQKZoxAronAokWL8v2gQgghhMidoWvg6tWrwCs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JyfkbnRCiyNu2\nbRtJSUnY29vnWvbq1askJyfj4+NTCJEJIfIi10Tg22+/JTAwEJ1OR+/evZkxYwZ2dnaFEZsQoghS\nqVRGg4Otra2xtrbOUiaz8PBwEhMTWb9+PdOmTZMJh4QoQkyaYrhPnz78+uuvkggIIfKsb9++9O3b\nV1mLJCAggNGjR9O0adMXG5gQAjBxQqFFixZJEiCEMFnm640KFSpw+vTpFxiNECIzk+YREEIIU2zf\nvp1///0XOzs7Ll68qExJ3K9fvxccmRDCwKSuASGEEEK8XGTZQCGEEOIVJomAEEII8QqTREAIIYR4\nhUkiIIQQQrzCJBEQQgghXmGSCAghhBCvMEkEhBBCiFeYJAJCCCHEK0wSASGEEOIV9n+fJhJvSwNN\nhwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1093f6cd0>"
]
}
],
"prompt_number": 49
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like a success to me. The models are similar enough to make me think I haven't messed up, but different enough that I believe different SSP models are being used..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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