diff --git a/.travis.yml b/.travis.yml index cbbfb78..dcda5f4 100644 --- a/.travis.yml +++ b/.travis.yml @@ -27,7 +27,7 @@ env: # The following versions are the 'default' for tests, unless # overridden underneath. They are defined here in order to save having # to repeat them for all configurations. - - PYTHON_VERSION=3.6 + - PYTHON_VERSION=3.7 - NUMPY_VERSION=stable - ASTROPY_VERSION=stable - MAIN_CMD='python setup.py' @@ -53,9 +53,7 @@ env: matrix: # Make sure that egg_info works without dependencies - - PYTHON_VERSION=2.7 SETUP_CMD='egg_info' - - PYTHON_VERSION=3.5 SETUP_CMD='egg_info' - - PYTHON_VERSION=3.6 SETUP_CMD='egg_info' + - SETUP_CMD='egg_info' matrix: @@ -76,25 +74,13 @@ matrix: - os: linux env: SETUP_CMD='build_docs -w' - # Now try Astropy dev and LTS vesions with the latest 3.x and 2.7. + # Now try Astropy dev and LTS vesions with the latest 3.x. - os: linux env: ASTROPY_VERSION=development EVENT_TYPE='pull_request push cron' - - os: linux - env: PYTHON_VERSION=2.7 ASTROPY_VERSION=lts - os: linux env: ASTROPY_VERSION=lts - # Try various python and numpy combinations. Since we can assume that - # the Numpy developers have taken care of testing Numpy with different - # versions of Python, we can vary Python and Numpy versions at the same - # time. - - - os: linux - env: PYTHON_VERSION=3.5 NUMPY_VERSION=1.13 - - os: linux - env: PYTHON_VERSION=3.5 NUMPY_VERSION=1.14 - # Try numpy pre-release - os: linux env: NUMPY_VERSION=prerelease diff --git a/astropy_helpers b/astropy_helpers index fd80be7..14ca346 160000 --- a/astropy_helpers +++ b/astropy_helpers @@ -1 +1 @@ -Subproject commit fd80be7cf8698e2350a919ef7fc89871db0ba580 +Subproject commit 14ca346b0da3e92e65bdc398cc8f726cbd7be57d diff --git a/docs/nb/SimulatingeBOSS.ipynb b/docs/nb/SimulatingeBOSS.ipynb new file mode 100644 index 0000000..c1e9e00 --- /dev/null +++ b/docs/nb/SimulatingeBOSS.ipynb @@ -0,0 +1,318 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simulating the eBOSS Instrument" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This notebook goes through how to simulate eBOSS spectra given a model spectrum. The model spectrum to be simulated is specified in the config file under `source/table/path`. In this example, we are simulating a 22.4 magnitude quasar spectrum at z=1.5. This corresponds to source files `{DESIMODEL}/data/spectra/spec-qso-z1.5-rmag22.24.dat` and `/sdss/spec-qso.dat` in DESI and eBOSS modes, respectively." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import os\n", + "import specsim.simulator\n", + "\n", + "from astropy.io import fits\n", + "from astropy.table import Table" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Compare specsim output in DESI and eBOSS modes\n", + "\n", + "##### Initialize each simulator" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/belaabolfathi/anaconda3/lib/python3.5/site-packages/speclite/filters.py:1466: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " values_no_units = values_no_units[values_slice]\n", + "/Users/belaabolfathi/anaconda3/lib/python3.5/site-packages/speclite/filters.py:1466: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " values_no_units = values_no_units[values_slice]\n" + ] + } + ], + "source": [ + "desi = specsim.simulator.Simulator('desi', num_fibers=1, camera_output=True)\n", + "eboss = specsim.simulator.Simulator('eboss', num_fibers=1, camera_output=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Get simulated output for each camera" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/belaabolfathi/desi/code/specsim/specsim/simulator.py:590: RuntimeWarning: divide by zero encountered in true_divide\n", + " source_flux_to_photons * camera.throughput.reshape(-1, 1)))\n", + "/Users/belaabolfathi/desi/code/specsim/specsim/simulator.py:594: RuntimeWarning: invalid value encountered in multiply\n", + " output['flux_calibration'] * output['num_source_electrons'])\n" + ] + } + ], + "source": [ + "def get_camera_output(simulator, seed=123, eboss=False):\n", + " gen = np.random.RandomState(seed)\n", + " # Simulate the response of the spectrograph\n", + " simulator.simulate()\n", + " # Generate a random realization of the instrumental noise\n", + " simulator.generate_random_noise(gen)\n", + " \n", + " if eboss:\n", + " return(simulator._eboss_camera_output)\n", + "\n", + " else:\n", + " return(simulator.camera_output)\n", + " \n", + "desi_g, desi_r, desi_z = get_camera_output(desi)\n", + "eboss_b, eboss_r = get_camera_output(eboss, eboss=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's look at the source models for each config mode:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Load the model spectra\n", + "# DESI\n", + "qso_desi_path = os.path.join(os.getenv('DESIMODEL'), 'data/spectra/spec-qso-z1.5-rmag22.24.dat')\n", + "qso_desi_model = Table.read(qso_desi_path, format='ascii')\n", + "wlen_desi, flux_desi = qso_desi_model['WAVELENGTH'], qso_desi_model['FLUX']\n", + "\n", + "# eBOSS\n", + "qso_eboss_path = os.path.join(os.getenv('SDSS'), 'spec-qso.dat')\n", + "qso_eboss_model = Table.read(qso_eboss_path, format='ascii')\n", + "wlen_eboss, flux_eboss = qso_eboss_model['WAVELENGTH'], qso_eboss_model['FLUX']" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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WrFNIioFHgTUEK5EcbmZFkZ3uvtjd1yYwvpSTk2MMLS1MzQRGK42uICi1BFVg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\nAUlEQVQrhISEqAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fs = 14\n", + "\n", + "fig, axs = plt.subplots(1,2, figsize=(15,5), sharey=True)\n", + "axs = axs.ravel()\n", + "axs[0].plot(np.log10(qso_desi_model['WAVELENGTH']), qso_desi_model['FLUX'])\n", + "axs[1].plot(np.log10(qso_eboss_model['WAVELENGTH']), qso_eboss_model['FLUX'])\n", + "\n", + "axs[0].set_title('DESI (model)', fontsize=fs)\n", + "axs[1].set_title('eBOSS (model)', fontsize=fs)\n", + "axs[0].set_xlabel('Wavelength [log10($\\AA$)]', fontsize=fs)\n", + "axs[1].set_xlabel('Wavelength [log10($\\AA$)]', fontsize=fs)\n", + "axs[0].set_ylabel('Flux density [erg/cm2/s/$\\AA$]', fontsize=fs)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now plot the simulated outputs (exclude first and last values in eBOSS output which are not properly handled):" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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1Jhhmo781pM1r9RUYIiIiIiIiIpL8lO0UERERERERkRav1a5C0rNnTx88eHCiwxAREZEG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fs = 14\n", + "\n", + "fig, axs = plt.subplots(1,2, figsize=(15,5), sharey=True)\n", + "axs = axs.ravel()\n", + "axs[0].plot(np.log10(desi_g['wavelength']), desi_g['observed_flux'], c='g', label='g camera')\n", + "axs[0].plot(np.log10(desi_r['wavelength']), desi_r['observed_flux'], c='r', label='r camera')\n", + "axs[0].plot(np.log10(desi_z['wavelength']), desi_z['observed_flux'], c='k', label='z camera')\n", + "axs[1].plot(eboss_b['wavelength'][1:-1], eboss_b['observed_flux'][1:-1], c='b', label='b camera')\n", + "axs[1].plot(eboss_r['wavelength'][1:-1], eboss_r['observed_flux'][1:-1], c='r', label='r camera')\n", + "\n", + "axs[0].set_title('DESI (simulated)', fontsize=fs)\n", + "axs[1].set_title('eBOSS (simulated)', fontsize=fs)\n", + "axs[0].set_xlabel('Wavelength [log10($\\AA$)]', fontsize=fs)\n", + "axs[1].set_xlabel('Wavelength [log10($\\AA$)]', fontsize=fs)\n", + "axs[0].set_ylabel('Flux density [erg/cm2/s/$\\AA$]', fontsize=fs)\n", + "axs[0].legend()\n", + "axs[1].legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Plot DESI and eBOSS simulated inverse variance" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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2UAUkEyjL+Xk7xtVjTZs2jYULF1JaWgpAeXk527dvb3JOaWkpxcXFjBw5kmnT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zPwsFy8qoG/GUKXS/zj2XGoNNm6Zo/IuLSQ7kcBgHN2JOiYl0j0XGv6iI7mdVFRAdDVxzjeEU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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fs = 14\n", + "\n", + "fig, ax1 = plt.subplots(figsize=(12,7))\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(qso_desi_model['WAVELENGTH'], qso_desi_model['FLUX'], 'g', label='Model flux') # 1e-17 erg/s/cm2/A\n", + "ax1.plot(desi_g['wavelength'], desi_g['flux_inverse_variance'] * 1e-34, 'b.-', ms=1, lw=0.1, \n", + " label='DESI-g') # 1e34 A2 cm4 s2 / erg2\n", + "ax1.plot(desi_r['wavelength'], desi_r['flux_inverse_variance'] * 1e-34, 'r.-', ms=1, lw=0.1, \n", + " label='DESI-r') # 1e34 A2 cm4 s2 / erg2\n", + "ax1.plot(desi_z['wavelength'], desi_z['flux_inverse_variance'] * 1e-34, 'y.-', ms=1, lw=0.1, \n", + " label='DESI-z') # 1e34 A2 cm4 s2 / erg2\n", + "ax1.plot(eboss_b['wavelength'], eboss_b['flux_inverse_variance'] * 1e-34, 'c', label='eBOSS-b')\n", + "ax1.plot(eboss_r['wavelength'], eboss_r['flux_inverse_variance'] * 1e-34, 'm', label='eBOSS-r')\n", + "\n", + "ax1.legend(loc=2)\n", + "ax1.set_xlabel('Wavelength [Å]', fontsize=fs)\n", + "ax1.set_ylabel('Camera Inverse Variance [10-34 Å2 cm4 s2 / erg2]', fontsize=fs)\n", + "ax2.set_ylabel('Model Flux [10-17 erg/s/cm2/Å]', color='g', fontsize=fs)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [default]", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/docs/nb/eBOSSConfigData.ipynb b/docs/nb/eBOSSConfigData.ipynb new file mode 100644 index 0000000..237e82d --- /dev/null +++ b/docs/nb/eBOSSConfigData.ipynb @@ -0,0 +1,1239 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Generate instrument data for Specsim eBOSS configuration " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import bossdata\n", + "import os\n", + "import fitsio\n", + "import speclite.filters\n", + "\n", + "import astropy.units as u\n", + "import pandas as pd\n", + "\n", + "from astropy.io import fits\n", + "from astropy.table import Table, vstack" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Refer to http://bossdata.readthedocs.io/en/latest/index.html to learn more about the bossdata package." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.3.2dev\n" + ] + } + ], + "source": [ + "print(bossdata.__version__)\n", + "\n", + "finder = bossdata.path.Finder()\n", + "mirror = bossdata.remote.Manager()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "desimodel_path = os.path.join(os.getenv('DESIMODEL'), 'data')\n", + "sdss_path = os.getenv('SDSS')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Access spCFrame files to get data for specpsf:\n", + "\n", + "* Wavelength\n", + "* Row width/pixel size\n", + "* Wavelength dispersion/FWHM resolution\n", + "* Spatial resolution/n_eff" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def get_cframe_hdulist(plate, mjd, band, fiber, sequence_number=0):\n", + " \n", + " \"\"\"Prepare plan path to access spCFrame data for a specific spectrograph camera.\n", + " \n", + " The spCFrame files contain the flux-calibrated spectra for a single CCD.\n", + " For more information see: https://data.sdss.org/datamodel/files/BOSS_SPECTRO_REDUX/RUN2D/PLATE4/spCFrame.html.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " plate: int\n", + " Plate number for the observation.\n", + " mjd: int\n", + " MJD for the observation.\n", + " band: str\n", + " Specifies which camera to use. Must be 'blue' or 'red'.\n", + " fiber: int\n", + " Fiber number indicating which spectrograph to use. Must be in the range 1-1000.\n", + " sequence_number: int\n", + " Science exposure sequence number, counting from zero.\n", + " \n", + " \n", + " Returns\n", + " -------\n", + " \n", + " :class: `astropy.io.fits.HDUList`\n", + " FITS data files associated with individual exposures.\n", + " \"\"\"\n", + "\n", + " plan_path = finder.get_plate_plan_path(plate=plate, mjd=mjd, combined=True)\n", + " local_plan_path = local_plan_path = mirror.get(plan_path)\n", + " Plan = bossdata.plate.Plan(local_plan_path)\n", + " exp_name = Plan.get_exposure_name(sequence_number=sequence_number, band=band, fiber=fiber, ftype='spCFrame')\n", + " local_fits = mirror.get(os.path.join(plan_path.strip(os.path.basename(plan_path)), exp_name))\n", + " \n", + " return(fits.open(local_fits))\n", + "\n", + "def get_all_cframe_data(plate, mjd, sequence_number=0):\n", + " \n", + " '''Access cFrame data for each one of the four spectrograph cameras.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " plate: int\n", + " Plate number for the observation.\n", + " mjd: int\n", + " MJD for the observation.\n", + " sequence_number: int\n", + " Science exposure sequence number, counting from zero.\n", + " \n", + " \n", + " Returns\n", + " -------\n", + " \n", + " :class: `astropy.io.fits.HDUList`\n", + " FITS data files associated with individual exposures for all four spectrograph cameras.\n", + " '''\n", + " \n", + " b1_hdulist = get_cframe_hdulist(plate=plate, mjd=mjd, band='blue', fiber=30, sequence_number=sequence_number)\n", + " b2_hdulist = get_cframe_hdulist(plate=plate, mjd=mjd, band='blue', fiber=600, sequence_number=sequence_number)\n", + " r1_hdulist = get_cframe_hdulist(plate=plate, mjd=mjd, band='red', fiber=30, sequence_number=sequence_number)\n", + " r2_hdulist = get_cframe_hdulist(plate=plate, mjd=mjd, band='red', fiber=600, sequence_number=sequence_number)\n", + " \n", + " return b1_hdulist, b2_hdulist, r1_hdulist, r2_hdulist\n", + "\n", + "\n", + "def get_neff(plate, mjd):\n", + " \n", + " \"\"\"Get profile width data for all fibers for a given PLATE, MJD, and for all\n", + " four spectrograph cameras.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " \n", + " Returns\n", + " -------\n", + " \n", + " \"\"\"\n", + " \n", + " remote_plate_spec_path = finder.get_plate_spec_path(plate=plate, mjd=mjd)\n", + " plate_spec_path = mirror.get(remote_plate_spec_path)\n", + " PlateFile = bossdata.plate.PlateFile(plate_spec_path) \n", + " \n", + " exp_nameb1 = PlateFile.exposures.get_exposure_name(exposure_index=1, camera='b1', \n", + " ftype='spFlat')\n", + " exp_nameb2 = PlateFile.exposures.get_exposure_name(exposure_index=1, camera='b2', \n", + " ftype='spFlat')\n", + " exp_namer1 = PlateFile.exposures.get_exposure_name(exposure_index=1, camera='r1', \n", + " ftype='spFlat')\n", + " exp_namer2 = PlateFile.exposures.get_exposure_name(exposure_index=1, camera='r2', \n", + " ftype='spFlat')\n", + "\n", + " remote_plate_path_b1 = finder.get_plate_path(plate=plate, filename=exp_nameb1)\n", + " remote_plate_path_b2 = finder.get_plate_path(plate=plate, filename=exp_nameb2)\n", + " remote_plate_path_r1 = finder.get_plate_path(plate=plate, filename=exp_namer1)\n", + " remote_plate_path_r2 = finder.get_plate_path(plate=plate, filename=exp_namer2)\n", + " \n", + " plate_path_b1 = mirror.get(remote_plate_path_b1)\n", + " plate_path_b2 = mirror.get(remote_plate_path_b2)\n", + " plate_path_r1 = mirror.get(remote_plate_path_r1)\n", + " plate_path_r2 = mirror.get(remote_plate_path_r2)\n", + "\n", + " hdulist_b1 = fitsio.FITS(plate_path_b1, mode=fitsio.READONLY)\n", + " hdulist_b2 = fitsio.FITS(plate_path_b2, mode=fitsio.READONLY)\n", + " hdulist_r1 = fitsio.FITS(plate_path_r1, mode=fitsio.READONLY)\n", + " hdulist_r2 = fitsio.FITS(plate_path_r2, mode=fitsio.READONLY)\n", + " \n", + " TraceSet_b1 = bossdata.plate.TraceSet(hdulist_b1[3])\n", + " TraceSet_b2 = bossdata.plate.TraceSet(hdulist_b2[3])\n", + " TraceSet_r1 = bossdata.plate.TraceSet(hdulist_r1[3])\n", + " TraceSet_r2 = bossdata.plate.TraceSet(hdulist_r2[3])\n", + "\n", + " return TraceSet_b1, TraceSet_b2, TraceSet_r1, TraceSet_r2\n", + "\n", + "def combine(plate, mjd, fwhm=True):\n", + " \n", + " \"\"\"Combine all specpsf data for a given PLATE, MJD.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " plate: list or np.array\n", + " Plate numbers for the observations.\n", + " mjd: list or np.array\n", + " MJDs for the observations.\n", + " fwhm: \n", + " Specify whether to calculate rms or fwhm resolution.\n", + " \n", + " Returns\n", + " -------\n", + " \n", + " The wavelength, resolution, row width and spatial resolution data for all fibers on all four spectrograph \n", + " cameras on the specified plates. All have shape (len(plate),500,4128), except for the blue camera spatial\n", + " resolution array, which has shape (len(plate,500,4112)).\n", + " \n", + " \"\"\"\n", + " \n", + " fwhm = np.sqrt(8*np.log(2))\n", + " coef = 2*np.sqrt(np.pi)\n", + " \n", + " \n", + " # Profile width data (note: length is different for blue and red cameras)\n", + " b1neff = np.empty((len(plate), 500, 4112), dtype=float)\n", + " b2neff = np.empty((len(plate), 500, 4112), dtype=float)\n", + " r1neff = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r2neff = np.empty((len(plate), 500, 4128), dtype=float) \n", + "\n", + " # Wavelength data\n", + " b1wlen = np.empty((len(plate), 500, 4128), dtype=float)\n", + " b2wlen = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r1wlen = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r2wlen = np.empty((len(plate), 500, 4128), dtype=float)\n", + "\n", + " # Wavelength dispersion data\n", + " b1res = np.empty((len(plate), 500, 4128), dtype=float)\n", + " b2res = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r1res = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r2res = np.empty((len(plate), 500, 4128), dtype=float)\n", + "\n", + " # Row width data\n", + " b1width = np.empty((len(plate), 500, 4128), dtype=float)\n", + " b2width = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r1width = np.empty((len(plate), 500, 4128), dtype=float)\n", + " r2width = np.empty((len(plate), 500, 4128), dtype=float)\n", + " \n", + " \n", + " \n", + " for i in range(len(plate)):\n", + " \n", + " b1TraceSet, b2TraceSet, r1TraceSet, r2TraceSet = get_neff(plate=plate[i], mjd=mjd[i])\n", + "\n", + " b1neff[i] = b1TraceSet.get_y()\n", + " b2neff[i] = b2TraceSet.get_y()\n", + " r1neff[i] = r1TraceSet.get_y()\n", + " r2neff[i] = r2TraceSet.get_y()\n", + " \n", + " b1, b2, r1, r2 = get_all_cframe_data(plate=plate[i], mjd=mjd[i])\n", + " \n", + " b1wlen[i] = 10**b1[3].data\n", + " b2wlen[i] = 10**b2[3].data\n", + " r1wlen[i] = 10**r1[3].data\n", + " r2wlen[i] = 10**r2[3].data\n", + " \n", + " b1width[i] = np.gradient(b1wlen[i], axis=1)\n", + " b2width[i] = np.gradient(b2wlen[i], axis=1)\n", + " r1width[i] = np.gradient(r1wlen[i], axis=1)\n", + " r2width[i] = np.gradient(r2wlen[i], axis=1)\n", + "\n", + " b1res[i] = b1[4].data*0.0001*np.log(10)*b1wlen[i]\n", + " b2res[i] = b2[4].data*0.0001*np.log(10)*b2wlen[i]\n", + " r1res[i] = r1[4].data*0.0001*np.log(10)*r1wlen[i]\n", + " r2res[i] = r2[4].data*0.0001*np.log(10)*r2wlen[i]\n", + " \n", + " if fwhm:\n", + " \n", + " b1res[i] = b1res[i]*fwhm\n", + " b2res[i] = b2res[i]*fwhm\n", + " r1res[i] = r1res[i]*fwhm\n", + " r2res[i] = r2res[i]*fwhm\n", + " \n", + " \n", + " return(b1wlen, b2wlen, r1wlen, r2wlen, b1res, b2res, r1res, r2res, \n", + " b1width, b2width, r1width, r2width, coef*b1neff, coef*b2neff, coef*r1neff, coef*r2neff)\n", + "\n", + "\n", + "def define_canon_grid(bwlen, rwlen, n_out, lo_trim=None, hi_trim=None):\n", + " \n", + " \"\"\"Define a canonical wavelength grid based on the minimum and maximum wavlength range \n", + " of all fibers on a plate.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " bwlen: numpy.ndarray\n", + " An ndarray of shape (len(plate),1000,4128) of all fibers on b1 and b2 cameras. \n", + " rwlen: numpy.ndarray\n", + " An ndarray of shape (len(plate),1000,4128) of all 1000 fibers on r1 and r2 cameras.\n", + " n_out: int\n", + " The number of samples to generate for the canonical grid.\n", + " lo_trim: int\n", + " Lower index at which to trim the data. \n", + " hi_trim: int\n", + " Upper index at which to trim the data. \n", + " \n", + " Returns\n", + " -------\n", + " \n", + " Numpy arrays for the blue and red canonical wavelength grids.\n", + " \n", + " \"\"\"\n", + " \n", + " b_canon = np.linspace(np.max(bwlen[:,:,0]), np.min(bwlen[:,:,-1]), n_out)\n", + " r_canon = np.linspace(np.max(rwlen[:,:,0]), np.min(rwlen[:,:,-1]), n_out)\n", + " \n", + " if lo_trim:\n", + " b_canon = b_canon[lo_trim:]\n", + " r_canon = r_canon[lo_trim:]\n", + " \n", + " if hi_trim:\n", + " b_canon = b_canon[:hi_trim]\n", + " r_canon = r_canon[:hi_trim]\n", + " \n", + " return(b_canon, r_canon)\n", + "\n", + "def summarize(b_grid, r_grid, b_wlen, r_wlen, b_data, r_data, summary=np.median):\n", + " \n", + " \"\"\"Interpolate data over canonical grid and return the median over all fibers\n", + " on all plates.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " b_grid: np.array\n", + " The blue canonical wavelength grid.\n", + " r_grid: \n", + " The red canonical wavelength grid.\n", + " bwlen: numpy.ndarray\n", + " An ndarray of shape (len(plate),1000,4128) of all fibers on b1 and b2 cameras. \n", + " rwlen: numpy.ndarray\n", + " An ndarray of shape (len(plate),1000,4128) of all 1000 fibers on r1 and r2 cameras.\n", + " b_data: \n", + " An ndarray of blue camera data of shape (len(plate),1000,4128), except for the blue spatial \n", + " resolution array, which has shape (len(plate,500,4112)), to be interpolated over the blue canonical grid.\n", + " r_data: \n", + " An ndarray of red camera data of shape (len(plate),1000,4128) to be interpolated over the red canonical grid.\n", + " summary: \n", + " Statistic to use to calculate a single output for the camera data. \n", + " Returns\n", + " -------\n", + " \n", + " Numpy arrays of the camera data interpolated over the canonical grids. \n", + " \n", + " \"\"\"\n", + " \n", + " assert b_wlen.shape == b_data.shape\n", + " assert r_wlen.shape == r_data.shape\n", + " \n", + " n_out = len(b_canon) # red and blue have different lengths\n", + " num_plates = b_data.shape[0]\n", + " \n", + " b_interp = np.empty((num_plates, 1000, n_out), dtype=float)\n", + " r_interp = np.empty((num_plates, 1000, n_out), dtype=float)\n", + " \n", + " for plate in range(num_plates):\n", + " for fiber in range(1000):\n", + " b_interp[plate, fiber] = np.interp(x=b_grid, xp=b_wlen[plate][fiber], fp=b_data[plate][fiber])\n", + " r_interp[plate, fiber] = np.interp(x=r_grid, xp=r_wlen[plate][fiber], fp=r_data[plate][fiber])\n", + " \n", + " return(summary(b_interp, axis=(0,1)), summary(r_interp, axis=(0,1)))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "plate = [7027, 6963, 7301, 6759, 6002, 6178, 6626, 6882, 7389, 7453, \n", + " 7517, 6472, 6660, 6877, 6970, 6122, 7456, 7377, 7454, 7564]\n", + " \n", + "mjd = [56448, 56724, 56746, 56416, 56104, 56213, 56330, 56541, 56769, \n", + " 56749, 56772, 56362, 56370, 56544, 56444, 56246, 56727, 56741, 56751, 56804]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Generate config data using 20 different plate-mjds" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Get data for all plate-mjds\n", + "b1wlen, b2wlen, r1wlen, r2wlen, b1res, b2res, r1res, r2res, b1width, b2width, r1width, r2width, b1neff, b2neff, r1neff, r2neff = combine(plate, mjd, fwhm=True)\n", + "\n", + "# Combine data for blue and red cameras\n", + "bwlen = np.concatenate((b1wlen, b2wlen), axis=1)\n", + "rwlen = np.concatenate((r1wlen, r2wlen), axis=1)\n", + "bres = np.concatenate((b1res, b2res), axis=1)\n", + "rres = np.concatenate((r1res, r2res), axis=1)\n", + "bwidth = np.concatenate((b1width, b2width), axis=1)\n", + "rwidth = np.concatenate((r1width, r2width), axis=1)\n", + "bneff = np.concatenate((b1neff, b2neff), axis=1)\n", + "rneff = np.concatenate((r1neff, r2neff), axis=1)\n", + "\n", + "# Create canonical wavelength grid\n", + "n_out = bneff.shape[2]\n", + "b_canon, r_canon = define_canon_grid(bwlen, rwlen, n_out, lo_trim=60, hi_trim=-80)\n", + "\n", + "# Take the median\n", + "bres_int, rres_int = summarize(b_canon, r_canon, bwlen, rwlen, bres, rres)\n", + "bwid_int, rwid_int = summarize(b_canon, r_canon, bwlen, rwlen, bwidth, rwidth)\n", + "bneff_int, rneff_int = summarize(b_canon, r_canon, bwlen[:,:,:n_out], rwlen, bneff, rneff)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Compare to DESI instrument" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "desi_hdulist = fitsio.FITS(os.path.join(desimodel_path, 'specpsf/psf-quicksim.fits'), mode=fitsio.READONLY)\n", + "\n", + "quicksim_b, quicksim_r, quicksim_z = desi_hdulist[1].read(), desi_hdulist[2].read(), desi_hdulist[3].read()\n", + "\n", + "desi_bwlen = quicksim_b['wavelength']\n", + "desi_rwlen = quicksim_r['wavelength']\n", + "desi_zwlen = quicksim_z['wavelength']\n", + "\n", + "desi_bres = quicksim_b['fwhm_wave']\n", + "desi_rres = quicksim_r['fwhm_wave']\n", + "desi_zres = quicksim_z['fwhm_wave']\n", + "\n", + "desi_bwidth = quicksim_b['angstroms_per_row']\n", + "desi_rwidth = quicksim_r['angstroms_per_row']\n", + "desi_zwidth = quicksim_z['angstroms_per_row']\n", + "\n", + "desi_bneff = quicksim_b['fwhm_spatial']\n", + "desi_rneff = quicksim_r['fwhm_spatial']\n", + "desi_zneff = quicksim_z['fwhm_spatial']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Canonical wavelength grid" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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PPJGvWA4cOED37t158MEHueqqq7zP8vf3p2rVqgXzwsaYoik1Fd59F15+GQIC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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,6))\n", + "plt.plot(np.arange(0,len(desi_bwlen)), desi_bwlen, '--b', lw=1, label='DESI b')\n", + "plt.plot(np.arange(0,len(desi_rwlen)), desi_rwlen, '--r', lw=1, label='DESI r')\n", + "plt.plot(np.arange(0,len(desi_zwlen)), desi_zwlen, '--k', lw=1, label='DESI z')\n", + "plt.plot(b_canon, 'b', label='eBOSS b', lw=1)\n", + "plt.plot(r_canon, 'r', label='eBOSS r', lw=1)\n", + "plt.xlabel('Pixel', fontsize=14)\n", + "plt.ylabel('Wavelength (Angstrom)', fontsize=14)\n", + "plt.title('20 plates', fontsize=18)\n", + "plt.xlim(0,4850)\n", + "plt.legend(loc=2, fontsize=14)\n", + "plt.xticks(fontsize=14)\n", + "plt.yticks(fontsize=14)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Wavelength dispersion\n", + "#### eBOSS" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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XX4XLL4dWreDSS5NOIyIiIhvso49g+nTo3j3pJFlTWo95h+inAZcBqcPWfwdm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\n1LcSERFZa2pjnrKCgqhON2QIvPhiJJv77RedxvXvr1L0TN9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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14,5))\n", + "\n", + "ax1.plot(b_canon, bres_int, 'b')\n", + "ax2.plot(r_canon, rres_int, 'r')\n", + "\n", + "ax1.set_title('Blue side (20 plates)', fontsize=14)\n", + "ax1.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax1.set_ylabel('FWHM Resolution (Angstrom)', fontsize=14)\n", + "ax2.set_title('Red Side (20 plates)', fontsize=14)\n", + "ax2.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### DESI" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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cMehnAhdI2keSqhnQUFLo4g6eRcjMbCPNzTB6dNpeuzbfWMzMhojOzk4A1q5d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\nrEdxFzkQiYr6yJGZj4k2gTfTuDtS1p4APurunwKmAb+N7jS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EqXIukmTFihVJFfaR6T57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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(14,5))\n", + "\n", + "\n", + "ax1.scatter(desi_bwlen, desi_bres, s=1, c='b')\n", + "ax2.scatter(desi_rwlen, desi_rres, s=1, c='r')\n", + "ax3.scatter(desi_zwlen, desi_zres, s=1, c='k')\n", + "\n", + "ax1.set_title('Resolution (g)', fontsize=16)\n", + "ax1.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax1.set_ylabel('FWHM Resolution (Angstrom)', fontsize=14)\n", + "ax2.set_title('Resolution (r)', fontsize=16)\n", + "ax2.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax3.set_title('Resolution (z)', fontsize=16)\n", + "ax3.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Row width \n", + "#### eBOSS" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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88UckOS1bxvqgN9wA//tfzCevostwKWNatYLnnotCce3bw6WXxnysJ56IeYyS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\nfSRp2+w7eUDBttqrpq6fJ4ENlHpg70Qqz4zNrrmmrtGmRQ30ipfHAGw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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14,5))\n", + "\n", + "ax1.plot(b_canon, bwid_int, 'b')\n", + "ax2.plot(r_canon, rwid_int, 'r')\n", + "\n", + "ax1.set_title('Blue side (20 plates)', fontsize=14)\n", + "ax1.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax1.set_ylabel('Row width (Angstrom/Pixel)', fontsize=14)\n", + "ax2.set_title('Red Side (20 plates)', fontsize=14)\n", + "ax2.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### DESI" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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ylrdoTbqIpEUF+iCampK/h+7ZAyNGqHmciBSw6urkm2NtrUbSRUSAnp6euCLd3Zk+fTpb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\n5e8C49LH3wT+W/r4r4Bvpo/HAUvSx4OBh4D3AUcDTwB7V8E+K25XPey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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(14,5))\n", + "\n", + "\n", + "ax1.scatter(desi_bwlen, desi_bwidth, s=1, c='b')\n", + "ax2.scatter(desi_rwlen, desi_rwidth, s=1, c='r')\n", + "ax3.scatter(desi_zwlen, desi_zwidth, s=1, c='k')\n", + "\n", + "ax1.set_title('Row width (g)', fontsize=16)\n", + "ax1.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax1.set_ylabel('Row width (Angstrom/Pixel)', fontsize=14)\n", + "ax2.set_title('Row width (r)', fontsize=16)\n", + "ax2.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax3.set_title('Row width (z)', fontsize=16)\n", + "ax3.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Spatial resolution\n", + "\n", + "#### eBOSS" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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HOOqopNPknVgNc3d/PMc5RERE1tmUKdCiBdSqFeaVq1EuIiKSB+bNg7ZtoWlT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\nTkSKo8S8Avnvf2M092efjaZfBX3Rq1ePadr22COaMXftGsm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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14,5))\n", + "\n", + "ax1.plot(b_canon, bneff_int, 'b')\n", + "ax2.plot(r_canon, rneff_int, 'r')\n", + "\n", + "ax1.set_title('Blue side (20 plates)', fontsize=14)\n", + "ax1.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax1.set_ylabel('Spatial Resolution (Angstrom)', fontsize=14)\n", + "ax2.set_title('Red Side (20 plates)', fontsize=14)\n", + "ax2.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### DESI" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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wDDDQ3Veb2beAKwhyhcx2938vW/AiEm/JJKxfH7S3bo02FhER6VChHfQrgVFA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\n9pvIsbousn/OvzMzGxWWvWpm34ijLpFYTjOzVWa23cy2mdngpB+nalV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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2, ax3) = plt.subplots(1,3, figsize=(14,5))\n", + "\n", + "\n", + "ax1.scatter(desi_bwlen, desi_bneff, s=1, c='b')\n", + "ax2.scatter(desi_rwlen, desi_rneff, s=1, c='r')\n", + "ax3.scatter(desi_zwlen, desi_zneff, s=1, c='k')\n", + "\n", + "ax1.set_title('n_eff (g)', fontsize=16)\n", + "ax1.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax1.set_ylabel('n_eff (Angstrom)', fontsize=14)\n", + "ax2.set_title('n_eff (r)', fontsize=16)\n", + "ax2.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "ax3.set_title('n_eff (z)', fontsize=16)\n", + "ax3.set_xlabel('Wavelength (Angstrom)', fontsize=14)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Keep from writing over existing config FITS files:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "write = False" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Write specpsf data" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "blue = Table([b_canon*u.Angstrom, bres_int*u.Angstrom, bwid_int*u.Angstrom/u.pix, \n", + " bneff_int*u.pix], names=('wavelength', 'fwhm_wave', 'angstroms_per_row', \n", + " 'neff_spatial'))\n", + "red = Table([r_canon*u.Angstrom, rres_int*u.Angstrom, rwid_int*u.Angstrom/u.pix, \n", + " rneff_int*u.pix], names=('wavelength', 'fwhm_wave', 'angstroms_per_row', \n", + " 'neff_spatial'))\n", + "if write:\n", + " blue.write(os.path.join(sdss_path, 'eboss-blue.fits'), overwrite=True)\n", + " red.write(os.path.join(sdss_path, 'eboss-red.fits'), overwrite=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Adjust additional config data to be within the interpolation range" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def fit_and_pad(data, col1, col2, ni=None, nf=None, col1_min=2980, col1_max=10100, fit_order_i=1, fit_order_f=1):\n", + " \n", + " '''Fits a polynomial of order fit_order if ni/nf are specified, otherwise \n", + " just pads with lowest/highest value in col2.\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " data: Config data to be adjusted to be within eBOSS interpolation grid. \n", + " \n", + " col1: Name of column over which interpolation is done (i.e. wavelength).\n", + " \n", + " col2: Name of column/feature of interest to be adjusted.\n", + " \n", + " ni: Beginning/initial index range over which to approximate col2 using a \n", + " polynomial of order fit_order_i. \n", + " \n", + " nf: End/final index range over which to approximate col2 using a polynomial \n", + " of order fit_order_f.\n", + " \n", + " col1_min: Lowest index at which to start padding.\n", + " \n", + " col1_max: Highest index at which to end padding.\n", + " \n", + " fit_order_i: Order of polynomial to fit to data in ni index range. \n", + " \n", + " fit_order_f: Order of polynomial to fit to data in nf index range.\n", + " \n", + " \n", + " Returns\n", + " -------\n", + " \n", + " An astropy table with updated wavelength range and feature data with \n", + " either constant padding (data[col2][0] or data[col2][-1]) or padding based on \n", + " fit order. \n", + " ''' \n", + " \n", + " assert(data[col1][0] > col1_min)\n", + " assert(data[col1][-1] < col1_max)\n", + " \n", + " wlen_diff = np.diff(data[col1])\n", + " nz_idx = np.nonzero(wlen_diff)[0][0]\n", + " dwlen = wlen_diff[nz_idx]\n", + " col1_beg = np.arange(col1_min, data[col1][0], dwlen)\n", + " col1_end = np.arange(data[col1][-1], col1_max, dwlen)\n", + " \n", + " if ni:\n", + " col1_beg = np.arange(col1_min, data[col1][ni[0]], dwlen)\n", + " func_beg = np.poly1d(np.polyfit(data[col1][ni[0]:ni[1]], data[col2][ni[0]:ni[1]], fit_order_i))\n", + " col2_beg = func_beg(col1_beg)\n", + " else:\n", + " col2_beg = np.full(len(col1_beg), data[col2][0])\n", + " \n", + " if nf:\n", + " col1_end = np.arange(data[col1][nf[1]], col1_max, dwlen)\n", + " func_end = np.poly1d(np.polyfit(data[col1][nf[0]:nf[1]], data[col2][nf[0]:nf[1]], fit_order_f))\n", + " col2_end = func_end(col1_end)\n", + " else:\n", + " col2_end = np.full(len(col1_end), data[col2][-1])\n", + " \n", + " ## Set negative values to zero\n", + " neg = col2_beg < 0.0\n", + " col2_beg[neg] = 0.0\n", + " \n", + " pad_beg = Table([col1_beg, col2_beg], names=(col1, col2))\n", + " pad_end = Table([col1_end, col2_end], names=(col1, col2))\n", + " \n", + " new_data = vstack([pad_beg, data])\n", + " new_data = vstack([new_data, pad_end])\n", + "\n", + " return(new_data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Adjust sky data" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "desi_sky = Table.read(os.path.join(desimodel_path, 'spectra/spec-sky.dat'), format='ascii')\n", + "eboss_sky = fit_and_pad(desi_sky, 'WAVELENGTH', 'FLUX')\n", + "\n", + "if write:\n", + " eboss_sky.write(os.path.join(sdss_path, 'eboss-spec-sky.dat'), format='ascii', overwrite=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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dvhLjHk7uVssUYE3peTRbCe9rXNmt9aXvmPyh86kfMOTo/MUjy4q+z17ddSMi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\nYFdX3QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(eboss_sky['WAVELENGTH'], eboss_sky['FLUX'])\n", + "plt.plot(desi_sky['WAVELENGTH'], desi_sky['FLUX'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Adjust extinction data" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "extinction = Table.read(os.path.join(desimodel_path, 'spectra/ZenithExtinction-KPNO.dat'), format='ascii')\n", + "eboss_extinction = fit_and_pad(extinction, 'WAVELENGTH', 'EXTINCTION', ni=[0,3000], fit_order_i=2)\n", + "\n", + "if write:\n", + " eboss_extinction.write(os.path.join(sdss_path, 'eboss-KPNO-extinction.dat'), format='ascii', overwrite=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(eboss_extinction['WAVELENGTH'], eboss_extinction['EXTINCTION'])\n", + "plt.plot(extinction['WAVELENGTH'], extinction['EXTINCTION'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Adjust throughput data\n", + "\n", + "Using data from Smee et al. paper (see Fig. 28 of https://arxiv.org/abs/1208.2233)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "boss_throughput_curves = pd.read_excel(os.path.join(sdss_path, 'throughputs_for_BOSS_paper_revA.xlsx'), \n", + " sheetname='BOSS')" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "other_losses = 0.85 * 0.96 * 0.83\n", + "\n", + "throughput_wlen = boss_throughput_curves['Wavelength']\n", + "blue_thru = boss_throughput_curves['Telescope'] * boss_throughput_curves['Collimator'] * boss_throughput_curves['Dichroic R'] * boss_throughput_curves['Blue grism'] * boss_throughput_curves['Blue camera'] * boss_throughput_curves['e2v CCD'] * other_losses\n", + "red_thru = boss_throughput_curves['Telescope'] * boss_throughput_curves['Collimator'] * boss_throughput_curves['Dichroic T'] * boss_throughput_curves['Red grism'] * boss_throughput_curves['Red camera'] * boss_throughput_curves['LBL CCD'] * other_losses" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8,5))\n", + "plt.plot(throughput_wlen * 10, blue_thru, c='b', ls=':')\n", + "plt.plot(throughput_wlen * 10, red_thru, c='r', ls=':')\n", + "plt.xlabel('Wavelength (Angstrom)')\n", + "plt.ylabel('Throughput')\n", + "plt.xlim(3000,11000)\n", + "plt.ylim(0,1)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "eboss_thru_b = Table([throughput_wlen * 10, blue_thru], names=('wavelength', 'throughput'))\n", + "eboss_thru_r = Table([throughput_wlen * 10, red_thru], names=('wavelength', 'throughput'))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "## Don't want nan values in the throughput table\n", + "eboss_thru_b[:65] = eboss_thru_b[65]\n", + "eboss_thru_r[-50:] = eboss_thru_r[-51]" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/belaabolfathi/anaconda3/lib/python3.5/site-packages/ipykernel/__main__.py:62: RuntimeWarning: invalid value encountered in less\n" + ] + } + ], + "source": [ + "max_b_wlen = eboss_thru_b['wavelength'][-1] + 1\n", + "max_r_wlen = eboss_thru_r['wavelength'][-1] + 1\n", + "new_eboss_thru_b = fit_and_pad(eboss_thru_b, 'wavelength', 'throughput', ni=[0,100], col1_max=max_b_wlen, \n", + " fit_order_i=2)\n", + "## Error message from nan values in col2_beg < 0.0 for r-camera\n", + "new_eboss_thru_r = fit_and_pad(eboss_thru_r, 'wavelength', 'throughput', col1_max=max_r_wlen)\n", + "\n", + "if write:\n", + " new_eboss_thru_b.write(os.path.join(sdss_path, 'eboss-thru-b.fits'), overwrite=True)\n", + " new_eboss_thru_r.write(os.path.join(sdss_path, 'eboss-thru-r.fits'), overwrite=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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oSmdyvg76NVh2bwaNHQEW/do6nEMciE48rwKUMvfr2JyG5jf+ZXWUkAvot0JE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\nZB61fPrw0Rivg52N2oJHhV/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HaWmpKSvTGY6UUqo/RGSVMaa0r/W0R65SSsURLfpKKRVH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\nAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(eboss_thru_b['wavelength'], eboss_thru_b['throughput'])\n", + "plt.plot(eboss_thru_r['wavelength'], eboss_thru_r['throughput'])\n", + "plt.plot(new_eboss_thru_b['wavelength'], new_eboss_thru_b['throughput'])\n", + "plt.plot(new_eboss_thru_r['wavelength'], new_eboss_thru_r['throughput'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Source" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "qso = Table.read(os.path.join(desimodel_path, 'spectra/spec-qso-z1.5-rmag22.24.dat'), format='ascii')\n", + "new_qso = fit_and_pad(qso, 'WAVELENGTH', 'FLUX', ni=[0,50], nf=[-100,-1], fit_order_i=1, fit_order_f=0)\n", + "\n", + "if write:\n", + " new_qso.write(os.path.join(sdss_path, 'spec-qso.dat'), format='ascii', overwrite=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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8+T0+Wvk+xbu2dqr9TSvqe+blV9Rfxx/wbm+derSAI6UHO9W2SEcouUuvM2rS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\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(new_qso['WAVELENGTH'], new_qso['FLUX'])\n", + "plt.plot(qso['WAVELENGTH'], qso['FLUX'])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [default]", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/specsim/atmosphere.py b/specsim/atmosphere.py index 4259854..0c1176f 100644 --- a/specsim/atmosphere.py +++ b/specsim/atmosphere.py @@ -672,12 +672,12 @@ def plot_lunar_brightness(moon_zenith, moon_azimuth, moon_phase, # Add labels. xy, coords = (1., 0.), 'axes fraction' plt.annotate('$k_V$ = {0:.3f}'.format(vband_extinction), - xy, xy, coords, coords, + xy, xycoords=coords, horizontalalignment='right', verticalalignment='top', size='x-large', color='k') xy, coords = (0., 0.), 'axes fraction' plt.annotate('$\\phi$ = {0:.1f}%'.format(100. * moon_phase), - xy, xy, coords, coords, + xy, xycoords=coords, horizontalalignment='left', verticalalignment='top', size='x-large', color='k') diff --git a/specsim/camera.py b/specsim/camera.py index f5a143d..c459447 100644 --- a/specsim/camera.py +++ b/specsim/camera.py @@ -87,8 +87,9 @@ def __init__(self, name, wavelength, throughput, row_size, # The arrays defining the CCD properties must all have identical # wavelength coverage. + ccd_nonzero = np.where(np.logical_and(self._row_size > 0, self.throughput != 0))[0] ccd_nonzero = np.where(self._row_size > 0)[0] - ccd_start, ccd_stop = ccd_nonzero[0], ccd_nonzero[-1] + 1 + ccd_start, ccd_stop = ccd_nonzero[0], ccd_nonzero[-1] + 1 if (np.any(self._fwhm_resolution[:ccd_start] != 0) or np.any(self._fwhm_resolution[ccd_stop:] != 0)): raise RuntimeError('Resolution extends beyond CCD coverage.') @@ -332,6 +333,180 @@ def get_output_resolution_matrix(self): # Convert to DIA format and return. return R.todia() + def centers_to_edges(self, centers, kind='cubic'): + """Calculate bin edges from bin centers. + Edges are calculated with interpolation (or extrapolation on the edges) + from integer to half-integer indices. + Parameters + ---------- + centers : array + 1D array of N increasing center values with at least 2 values. + kind : str or int + Passed to :func:`scipy.interpolate.interp1d`. When N < 4, + 'linear' is always used. + Returns + ------- + array + 1D array of N+1 increasing bin edge values. + """ + centers = np.asarray(centers) + if len(centers.shape) != 1: + raise ValueError('Expected 1D array of centers.') + if len(centers) < 2: + raise ValueError('Need at least 2 centers.') + elif len(centers) < 4: + kind = 'linear' + if not np.all(np.diff(centers) > 0): + raise ValueError('Expected increasing center values.') + + center_idx = np.arange(len(centers)) + interpolator = scipy.interpolate.interp1d( + center_idx, centers, fill_value='extrapolate', copy=False, + assume_sorted=True, kind=kind) + + edge_idx = np.arange(len(centers) + 1.) - 0.5 + return interpolator(edge_idx) + + def resample_binned(self, edges_out, edges_in, hist_in, axis=-1, zero_pad=True): + """Flux conserving linear resampler of binned data. + Parameters + ---------- + edges_out : array + 1D array of M >= 2 output bin edges, in increasing order. + edges_in : array + 1D array of N >= 2 input bin edges, in increasing order. + hist_in : array + Array with N-1 input bin values indexed by the specified axis. + axis : int + Axis of hist_in used to index input histogram values. + zero_pad : bool + When True, allow the output edges to extend beyond the input + edges and assume that the input histogram is zero outside of + its extent. When False, raises a ValueError if extrapolation + would be required. + Returns + ------- + array + 1D array of M-1 resampled bin values. + """ + # Check input 1D arrays. + edges_out = np.asarray(edges_out) + edges_in = np.asarray(edges_in) + if edges_out.ndim != 1: + raise ValueError('Expected 1D edges_out.') + if edges_in.ndim != 1: + raise ValueError('Expected 1D edges_in.') + if len(edges_out) < 2: + raise ValueError('Need at least one output bin.') + if len(edges_in) < 2: + raise ValueError('Need at least one input bin.') + binsize_out = np.diff(edges_out) + if np.any(binsize_out <= 0): + raise ValueError('Expecting increasing edges_out.') + binsize_in = np.diff(edges_in) + if np.any(binsize_in <= 0): + raise ValueError('Expecting increasing edges_in.') + if not zero_pad and ((edges_out[0] < edges_in[0]) or + (edges_out[-1] > edges_in[-1])): + raise ValueError( + 'Ouput bins extend beyond input bins but zero_pad is False.') + if (edges_out[0] >= edges_in[-1]) or (edges_out[-1] <= edges_in[0]): + raise ValueError('Input and output bins do not overlap.') + # Check input histogram(s) and put index in axis 0. Note that we + # use moveaxis instead of rollaxis since it is easier to invert. + hist_in = np.asarray(hist_in) + hist_in_rolled = np.moveaxis(hist_in, axis, 0) + if len(hist_in_rolled) != len(edges_in) - 1: + raise ValueError( + 'Unexpected length of hist_in along axis {}.'.format(axis)) + # Align output edges to input edges. + idx = np.searchsorted(edges_in, edges_out) + # Loop over output bins. + nin = len(edges_in) - 1 + nout = len(edges_out) - 1 + hist_out_rolled_shape = (nout,) + hist_in_rolled.shape[1:] + hist_out_rolled = np.zeros(hist_out_rolled_shape) + hi = idx[0] + for i in range(nout): + lo = hi + hi = idx[i + 1] + if (lo > nin) or (hi == 0): + # This bin does not overlap the input. + continue + if lo == hi: + # Output bin is fully embedded within an input bin: + # give it a linear share. + hist_out_rolled[i] = ( + binsize_out[i] / binsize_in[lo - 1] * hist_in_rolled[lo - 1]) + continue + # Calculate fraction of first input bin overlapping this output bin. + if lo > 0: + hist_out_rolled[i] += ( + hist_in_rolled[lo - 1] / binsize_in[lo - 1] * ( + edges_in[lo] - edges_out[i])) + # Calculate fraction of last input bin overlaping this output bin. + if hi <= nin: + hist_out_rolled[i] += ( + hist_in_rolled[hi - 1] / binsize_in[hi - 1] * ( + edges_out[i + 1] - edges_in[hi - 1])) + # Add input bins fully contained within this output bin. + if hi > lo + 1: + hist_out_rolled[i] += np.sum(hist_in_rolled[lo:hi - 1], axis=0) + # Return our unrolled output histogram. + return np.moveaxis(hist_out_rolled, axis, 0) + + def eboss_wave_out(self, x_in): + return(10 ** np.arange(np.log10(x_in[0]), np.log10(x_in[-1]), 0.0001)) + + def downsample_to_eboss(self, x_out, x_in, y_in, axis=0, zero_pad=True): + """Flux conserving linear resampling of density samples. + By "density" we mean that the integral of y(x) is the conserved flux. + This function is just a wrapper around :func:`resample_binned` that: + - Estimates input bin edges. + - Multiplies each density y(x[i]) by the bin width to obtain bin contents. + - Resamples the binned data. + - Divides output bin values by output bin widths to obtain densities. + The special case of a single output sample location is handled with linear + interpolation of the input densities, so is not really flux conserving but + probably what you want in this case. + Parameters + ---------- + x_out : array + 1D array of M >= 1 output sample locations. + x_in : array + 1D array of N >= 2 input sample locations. + y_in : array + Array of N input sample densities indexed by the specified axis. + axis : int + Axis of y_in used to index input density values. + zero_pad : bool + When True, allow the output edges to extend beyond the input + edges and assume that the input histogram is zero outside of + its extent. When False, raises a ValueError if extrapolation + would be required. + Returns + ------- + array + 1D array of M output densities. + """ + x_in = np.asarray(x_in) + x_out = np.asarray(x_out) + y_in = np.asarray(y_in) + if len(x_out.shape) == 0 or len(x_out) == 1: + # Resampling to a single value. + if not zero_pad and ((x_out < np.min(x_in)) or (x_out > np.max(x_in))): + raise ValueError( + 'Cannot resample outside range when zero_pad is False.') + # Linearly interpolate x_out in (x_in, y_in). + return np.interp(x_out, x_in, y_in, left=0., right=0.) + edges_out = self.centers_to_edges(x_out) + edges_in = self.centers_to_edges(x_in) + dx_shape = np.ones(y_in.ndim, int) + dx_shape[axis] = -1 + hist_in = y_in * np.diff(edges_in).reshape(dx_shape) + hist_out = self.resample_binned(edges_out, edges_in, hist_in, axis, zero_pad) + return hist_out / np.diff(edges_out).reshape(dx_shape) + def downsample(self, data, method=np.sum): """Downsample data tabulated on the simulation grid to output pixels. """ diff --git a/specsim/data/config/desi.yaml b/specsim/data/config/desi.yaml index 11485a2..0e8304f 100644 --- a/specsim/data/config/desi.yaml +++ b/specsim/data/config/desi.yaml @@ -121,7 +121,7 @@ instrument: fiberloss: # Method for calculating fiberloss fractions. # Either galsim or table or fastsim. - method: fastsim + method: table # Number of wavelengths where fiberloss should be calculated # and interpolated. Ignored unless method is galsim. num_wlen: 11 @@ -149,7 +149,7 @@ instrument: # and used by specsim/fastfiberacceptance.py # Comment out this line to disable the "fastsim" mode (e.g., if # this file is not available or describes a different config). - fast_fiber_acceptance_path: throughput/galsim-fiber-acceptance.fits + #fast_fiber_acceptance_path: throughput/galsim-fiber-acceptance.fits blur: # Read RMS blur values tabulated as a function of field angle and # wavelength, and derived from ray tracing simulations. For details, diff --git a/specsim/data/config/eboss.yaml b/specsim/data/config/eboss.yaml new file mode 100644 index 0000000..8ee83e8 --- /dev/null +++ b/specsim/data/config/eboss.yaml @@ -0,0 +1,338 @@ +name: eBOSS QuickSim + +# The base path is pre-pended to all non-absolute path values below. +# {...} will be expanded using environment variables. +base_path: + +# Be verbose during the simulation? +verbose: no + +# Specify the wavelength grid to use for simulation. For comparison, the +# table below summarizes the ranges of non-zero throughput in each camera, +# wavelengths that can disperse into CCDs (with a 5-sigma cut), and the +# extents of each CCD's active pixels covered by all fibers (as defined by +# cameras.*.ccd.table below). Note that individual fibers will generally have +# slightly more coverage, so we are simulating the worst-case coverage of +# all fibers. +# +# Range b(min) b(max) r(min) r(max) z(min) z(max) +# Angstrom Angstrom Angstrom Angstrom Angstrom Angstrom +# ---------- -------- -------- -------- -------- -------- -------- +# Throughput 3533.000 5998.000 5564.000 7805.000 7360.000 9913.000 +# Simulation 3550.000 ................................... 9850.000 +# Response 3565.400 5952.600 5621.700 7744.300 7431.000 9838.000 +# CCD 3569.000 5949.000 5625.000 7741.000 7435.000 9834.000 +wavelength_grid: + unit: Angstrom + min: 3000.0 + max: 10050.0 + step: 0.1 + +# The atmosphere configuration is interpreted and validated by the +# specsim.atmosphere module. +atmosphere: + # Sky emission surface brightness. + sky: + table: + # The .dat extension is not automatically recognized as ascii. + format: ascii + columns: + wavelength: { index: 0, unit: Angstrom } + surface_brightness: + index: 1 + # Note the factor of 1e-17 in the units! + unit: 1e-17 erg / (Angstrom arcsec2 cm2 s) + paths: + # Each path defines a possible condition. + dark: sdss/eboss-spec-sky.dat + # Specify the current condition. + condition: dark + # Atmospheric seeing (only used when instrument.fiberloss.method = galsim) + seeing: + # The seeing is assumed to scale with wavelength as + # fwhm(wlen) = fwhm_ref * (wlen / wlen_ref) ** -0.2 + fwhm_ref: 1.1 arcsec + wlen_ref: 6355 Angstrom + # The seeing PSF is modeled as a Moffat profile. + moffat_beta: 3.5 + # Surface brightness of scattered moonlight. + moon: + # Un-normalized spectrum of scattered moonlight. + # We use the Wehrli 1985 extraterrestial solar spectrum here. + # Seee http://rredc.nrel.gov/solar/spectra/am0/ for details. + table: + columns: + wavelength: { index: 1, unit: Angstrom } + flux: + index: 2 + # The actual units are W / (m2 micron) but we lie here + # (by a factor of 10) since the input normalization does + # not matter and old versions of speclite.filters do + # not interpret the actual units correctly. + unit: erg / (cm2 s Angstrom) + path: sdss/solarspec.txt + format: ascii.basic + constants: + # Phase of the moon from 0 (full) to 1 (new). + moon_phase: 0.5 + # Zenith angles of the moon. An angle > 90 (below the horizon) + # will zero the scattered moon contribution. + moon_zenith: 100 deg + # Separation angle between the observation and moon. + separation_angle: 60 deg + # Zenith extinction coefficients. + extinction: + table: + format: ascii + columns: + wavelength: { index: 0, unit: Angstrom } + extinction_coefficient: { index: 1 } + path: sdss/eboss-KPNO-extinction.dat + # Should extinction be applied to the sky emission? + extinct_emission: yes + # Airmass to use when the pointing is not calculated from the source + # and observation parameters. The focal_x and focal_y parameters of + # source.location.constants must be set in order for the airmass + # specified here to be used. + airmass: 1.0 + +# The instrument configuration is interpreted and validated by the +# specsim.instrument module. +instrument: + # See DESI documents 334, 336, 347 for details. + name: eBOSS + constants: + primary_mirror_diameter: 2.5 m + obscuration_diameter: 0.625 m + support_width: 0.025 m + fiber_diameter: 120.0 um + # Note that the true eBOSS field radius is 325.0 mm, but is set + # to 414.0 mm in order to be compatible with other DESI software + # products. + field_radius: 414.0 mm # 325.0 mm + plate_scale: + constants: + value: 60.45 um / arcsec + fiberloss: + # Method for calculating fiberloss fractions. + # Either galsim or table or fastsim. + method: table + # Number of wavelengths where fiberloss should be calculated + # and interpolated. Ignored unless method is galsim. + num_wlen: 11 + # Number of pixels used to subdivide the fiber diameter for + # numerical convolution and integration calculations with galsim. + num_pixels: 16 + # Table of pre-tabulated fiberloss fractions vs wavelength for + # different source types. Ignored unless method is table. + table: + format: ascii + paths: + # Each path corresponds to a different source type. + qso: sdss/eboss-fiberloss-qso.dat + #elg: throughput/fiberloss-elg.dat + #lrg: throughput/fiberloss-lrg.dat + #star: throughput/fiberloss-star.dat + #sky: throughput/fiberloss-sky.dat + #perfect: throughput/fiberloss-perfect.dat + columns: + wavelength: { index: 0, unit: Angstrom } + fiber_acceptance: { index: 1 } + # Fits file of precomputed galsim fiber acceptances. + # Ignored unless method is fastsim. + # The fits file is created with specsim/fitgalsim.py + # and used by specsim/fastfiberacceptance.py + # Comment out this line to disable the "fastsim" mode (e.g., if + # this file is not available or describes a different config). + #fast_fiber_acceptance_path: throughput/galsim-fiber-acceptance.fits + blur: + # Read RMS blur values tabulated as a function of field angle and + # wavelength, and derived from ray tracing simulations. For details, + # see $DESIMODEL/doc/nb/DESI-0347_Throughput.ipynb. + path: sdss/DESI-0347_blur.ecsv + # The ECSV format is not auto-detected so we specify it explicitly. + format: ascii.ecsv + offset: + # Read radial centroid offsets tabulated as a function of field angle + # and wavelength, and derived from ray tracing simulations. For + # details, see $DESIMODEL/doc/nb/DESI-0347_Throughput.ipynb. + path: sdss/DESI-0347_offset.ecsv + # The ECSV format is not auto-detected so we specify it explicitly. + format: ascii.ecsv + # + # static/stable achromatic but correlated centroid offsets from a FITS file + # this is to emulate any systematic residual of the plate maker + # in particular the effect of the corrector lens + # polishing errors (see DESI-1071) + # DESI-0347_static_offset_*.fits is the worst case scenario where + # we cannot correct for this during commissionning + # Uncomment any one of these lines to select a different random set. + # If all lines are commented out, this effect is ignored. + #static: throughput/DESI-0347_static_offset_1.fits + #static: throughput/DESI-0347_static_offset_2.fits + #static: throughput/DESI-0347_static_offset_3.fits + # + # random achromatic and uncorrelated offsets with 1D rms = sigma1d + # ( per axis, i.e. sqrt(mean(dx**2+dy**2))=sqrt(2)*sigma1d ) + # this is to emulate an uncorrelated positionner, astrometric, ... errors + # see lateral error in DESI-347 which is the throughput budget spreadsheet + # + # in DESI-347-v11 the quadratic sum of all lateral error terms except + # 'Band-limited chromatic shift microns' (already included in radial centroid offsets) + # and 'FVC corrector optics figure error' (a static term) + # is 7.38 um = 5.22 * sqrt(2) um + sigma1d: 5.22 um + # Random offsets are generated independently for each fiber of each exposure, + # but reproducibly according to this seed. + seed: 123 + cameras: + b: + constants: + # These values are copied from desimodel/data/desi.yaml + read_noise: 2.0 electron/pixel**2 + # We treat "pixel" as a linear unit, so we need pixel**2 here. + dark_current: 2.1 electron/(hour pixel**2) + gain: 1.02 electron/adu + # Clip the resolution matrix at this number of sigmas. + num_sigmas_clip: 0 + # Output pixels are used to report simulation results but are + # not the physical pixels. The output pixel size must be a + # multiple of wavelength_grid.step. + output_pixel_size: 0.5 Angstrom + ccd: + table: + path: sdss/eboss-blue.fits + extrapolated_value: 0.0 + columns: + wavelength: { name: wavelength } + row_size: + name: angstroms_per_row + # The file uses Angstrom / row but "row" is not + # recognized by astropy.units so we replace it with + # the linear "pixel" unit. + unit: Angstrom / pixel + override_unit: yes + fwhm_resolution: { name: fwhm_wave } + neff_spatial: { name: neff_spatial } + throughput: + table: + path: sdss/eboss-thru-b.fits + extrapolated_value: 0.0 + columns: + wavelength: { name: wavelength, unit: Angstrom } + throughput: { name: throughput } + r: + constants: + # These values are copied from desimodel/data/desi.yaml + read_noise: 2.875 electron/pixel**2 + # We treat "pixel" as a linear unit, so we need pixel**2 here. + dark_current: 4.25 electron/(hour pixel**2) + gain: 1.66 electron/adu + # Clip the resolution matrix at this number of sigmas. + num_sigmas_clip: 0 + # Output pixels are used to report simulation results but are + # not the physical pixels. The output pixel size must be a + # multiple of wavelength_grid.step. + output_pixel_size: 0.5 Angstrom + ccd: + table: + path: sdss/eboss-red.fits + extrapolated_value: 0.0 + columns: + wavelength: { name: wavelength } + row_size: + name: angstroms_per_row + # The file uses Angstrom / row but "row" is not + # recognized by astropy.units so we replace it with + # the linear "pixel" unit. + unit: Angstrom / pixel + override_unit: yes + fwhm_resolution: { name: fwhm_wave } + neff_spatial: { name: neff_spatial } + throughput: + table: + path: sdss/eboss-thru-r.fits + extrapolated_value: 0.0 + columns: + wavelength: { name: wavelength, unit: Angstrom } + throughput: { name: throughput } + +# The source configuration is interpreted and validated by the +# specsim.source module. +source: + name: 22.4 mag quasar spectrum at z=1.5 + # The type is only used when instrument.fiberloss.method is 'table'. + type: qso + table: + format: ascii + path: sdss/spec-qso.dat + columns: + wavelength: { index: 0, unit: Angstrom } + flux: + index: 1 + # Note the factor of 1e-17 in the units! + unit: 1e-17 erg / (Angstrom cm2 s) + # Transverse profile of the source on the sky, used to calculate the + # fiberloss fraction when instrument.fiberloss.method = galsim (but + # ignored otherwise). + profile: + # The sum of disk + bulge fractions must be <= 1. If it is < 1, + # the remainder is point-like, i.e., star or QSO. + disk_fraction: 0.0 + bulge_fraction: 0.0 + disk_shape: + half_light_radius: 0.8 arcsec + position_angle: 45 deg + minor_major_axis_ratio: 0.5 + bulge_shape: + half_light_radius: 1.2 arcsec + position_angle: 60 deg + minor_major_axis_ratio: 0.8 + # Location of the source on the sky. A source will not be visible if + # it lies out the observation field of view. + location: + # If focal-plane (x,y) coordinates are not specified, they will be + # calculated from the sky coordinates and observing conditions + # and the corresponding airmass will be used for the atmosphere model. + constants: + # Comment out these lines to have (x,y) and the airmass + # calculated automatically for this source and observation. + focal_x: -70.7 mm + focal_y: +70.7 mm + # Sky coordinates are optional (and ignored) when focal-plane (x,y) + # are specified. + sky: { coordinates: 0h 0d, frame: icrs } + # Set these parameters to apply a redshift transformation. + z_in: + z_out: + # Set these parameters to normalize in a specified filter. + filter_name: + ab_magnitude_out: + +# The observation configuration is interpreted and validated by the +# specsim.observation module. +observation: + observatory: KPNO + constants: + exposure_time: 900.84 s + # Atmospheric pressure at the telescope (not at sea level) used + # to calculate atmospheric refraction. Leave commented out to use a + # nominal value calculated for the observatory elevation. + #pressure: 79 kPa + # Air temperature at the telescope used to calculate atmospheric + # refraction (but only has a small effect). + temperature: 15 deg_C + # Relative humidity (0-1) at the telescope used to calculate atmospheric + # refraction (but only has a small effect). + relative_humidity: 0. + exposure_start: + timestamp: + when: 55000.5 + format: mjd + # This optional parameter adjusts the timestamp by +/-12h to + # achieve the specified hour angle for the boresight (ra, dec). + #adjust_to_hour_angle: -0.5h + pointing: + sky: + coordinates: 0h 0d + frame: icrs diff --git a/specsim/data/sdss/DESI-0347_blur.ecsv b/specsim/data/sdss/DESI-0347_blur.ecsv new file mode 100644 index 0000000..b5f059a --- /dev/null +++ b/specsim/data/sdss/DESI-0347_blur.ecsv @@ -0,0 +1,51 @@ +# %ECSV 0.9 +# --- +# datatype: +# - {name: wavelength, unit: Angstrom, datatype: float64, format: '{:.1f}', description: Wavelength} +# - {name: r=0.00 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.00 deg.} +# - {name: r=0.15 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.15 deg.} +# - {name: r=0.30 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.30 deg.} +# - {name: r=0.45 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.45 deg.} +# - {name: r=0.60 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.60 deg.} +# - {name: r=0.75 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.75 deg.} +# - {name: r=0.90 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=0.90 deg.} +# - {name: r=1.05 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=1.05 deg.} +# - {name: r=1.20 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=1.20 deg.} +# - {name: r=1.35 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=1.35 deg.} +# - {name: r=1.50 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=1.50 deg.} +# - {name: r=1.60 deg, unit: micron, datatype: float64, format: '{:.4f}', description: RMS +# spot size at field angle r=1.60 deg.} +# meta: !!omap +# - {description: 'RMS spot size as a function of wavelength and field angle derived +# from DESI-0347-v10. Chromatic contributions are based on a text file prepared +# by Mike Sholl that is also plotted in the geometric_blur tab of the throughput +# spreadsheet in DESI-0347-v13. Achromatic contributions are taken from cells B14:B26 +# added in quadrature.'} +# schema: astropy-2.0 +wavelength "r=0.00 deg" "r=0.15 deg" "r=0.30 deg" "r=0.45 deg" "r=0.60 deg" "r=0.75 deg" "r=0.90 deg" "r=1.05 deg" "r=1.20 deg" "r=1.35 deg" "r=1.50 deg" "r=1.60 deg" +3550.0 22.2382 21.1992 18.6282 15.8778 14.1541 13.3888 12.7107 11.5403 10.6502 13.7516 22.0155 18.5668 +3675.0 19.7553 18.8828 16.8174 14.8212 13.7409 13.2433 12.6088 11.5626 10.9942 14.0983 21.4343 17.3332 +3800.0 17.3294 16.6242 15.0591 13.7928 13.3336 13.0987 12.5073 11.5849 11.3495 14.4488 20.8554 16.1216 +4125.0 13.3050 13.0069 12.5862 12.7242 13.1364 13.0252 12.2314 11.3356 11.5534 14.7021 19.6593 13.9597 +4500.0 11.2597 11.3307 11.8020 12.7310 13.3735 13.0292 11.8854 10.8724 11.2734 14.4503 18.6897 12.9109 +5000.0 10.6156 10.9578 11.9609 13.1684 13.6709 12.9401 11.4253 10.2334 10.5173 13.4942 17.4685 12.5725 +5500.0 10.7381 11.1642 12.2823 13.4478 13.7510 12.8034 11.2258 10.1164 10.2231 12.6951 16.4496 12.4714 +6000.0 10.8905 11.3486 12.4935 13.5993 13.7931 12.8201 11.4525 10.6877 10.7444 12.5635 15.8727 12.5733 +6500.0 11.0196 11.4983 12.6593 13.7303 13.8818 12.9860 11.9417 11.6026 11.7224 12.9629 15.6984 12.8904 +7000.0 11.1455 11.6429 12.8228 13.8752 14.0097 13.2105 12.4778 12.5270 12.7642 13.5880 15.7620 13.3307 +7500.0 11.2951 11.8101 13.0083 14.0429 14.1526 13.4161 12.9218 13.2835 13.6560 14.2119 15.9106 13.8005 +8000.0 11.5022 12.0316 13.2406 14.2443 14.3000 13.5636 13.2120 13.8070 14.3165 14.7175 16.0466 14.2449 +8500.0 11.8079 12.3455 13.5500 14.5000 14.4602 13.6476 13.3360 14.0899 14.7320 15.0615 16.1229 14.6464 +9400.0 12.4468 12.9834 14.1555 14.9988 14.7728 13.7444 13.3212 14.1608 14.9560 15.2924 16.1664 15.1979 +9850.0 12.7747 13.3094 14.4626 15.2506 14.9301 13.7929 13.3138 14.1963 15.0685 15.4083 16.1882 15.4764 diff --git a/specsim/data/sdss/DESI-0347_offset.ecsv b/specsim/data/sdss/DESI-0347_offset.ecsv new file mode 100644 index 0000000..69b7f45 --- /dev/null +++ b/specsim/data/sdss/DESI-0347_offset.ecsv @@ -0,0 +1,51 @@ +# %ECSV 0.9 +# --- +# datatype: +# - {name: wavelength, unit: Angstrom, datatype: float64, format: '{:.1f}', description: Center +# of wavelength band} +# - {name: r=0.00 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.00 deg.} +# - {name: r=0.15 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.15 deg.} +# - {name: r=0.30 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.30 deg.} +# - {name: r=0.45 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.45 deg.} +# - {name: r=0.60 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.60 deg.} +# - {name: r=0.75 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.75 deg.} +# - {name: r=0.90 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=0.90 deg.} +# - {name: r=1.05 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=1.05 deg.} +# - {name: r=1.20 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=1.20 deg.} +# - {name: r=1.35 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=1.35 deg.} +# - {name: r=1.50 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=1.50 deg.} +# - {name: r=1.60 deg, unit: micron, datatype: float64, format: '{:.4f}', description: Radial +# centroid offset at field angle r=1.60 deg.} +# meta: !!omap +# - {description: 'Radial centroid offset as a function of wavelength and field angle +# derived from DESI-0347-v10. Values are based on a text file prepared by Mike Sholl +# that is also plotted in the geometric_blur tab of the throughput spreadsheet in +# DESI-0347-v10. Values are derived from ray tracing of the ideal optics and do +# not include the random achromatic errors in cells B43:B72 of the throughput sheet.'} +wavelength "r=0.00 deg" "r=0.15 deg" "r=0.30 deg" "r=0.45 deg" "r=0.60 deg" "r=0.75 deg" "r=0.90 deg" "r=1.05 deg" "r=1.20 deg" "r=1.35 deg" "r=1.50 deg" "r=1.60 deg" +3550.0 -0.0000 -6.8780 -12.6879 -16.4800 -17.5370 -15.4780 -10.3850 -2.9980 4.9010 9.6610 3.9220 -10.1910 +3675.0 -0.0000 -6.0190 -11.0867 -14.3560 -15.1860 -13.2310 -8.5540 -1.7960 5.4870 10.0970 5.5870 -6.5080 +3800.0 0.0000 -5.1600 -9.4855 -12.2320 -12.8350 -10.9840 -6.7230 -0.5940 6.0730 10.5330 7.2520 -2.8250 +4125.0 -0.0000 -3.4122 -6.2499 -7.9990 -8.2640 -6.8200 -3.6770 0.8290 5.8440 9.5920 8.4770 2.4710 +4500.0 0.0000 -1.9561 -3.5813 -4.5770 -4.7130 -3.8460 -1.9640 0.7720 3.9250 6.5720 6.8380 4.1590 +5000.0 -0.0000 -0.5098 -0.9577 -1.2850 -1.4430 -1.3900 -1.0970 -0.5490 0.2480 1.2620 2.4100 2.9210 +5500.0 -0.0000 0.4864 0.8341 0.9220 0.6600 0.0140 -0.9880 -2.2110 -3.3630 -3.8550 -2.5130 0.0100 +6000.0 0.0000 1.2761 2.2580 2.6850 2.3610 1.1850 -0.8140 -3.4190 -6.1180 -7.8640 -6.5530 -2.6350 +6500.0 0.0000 1.9770 3.5357 4.3040 3.9970 2.4640 -0.2700 -3.9250 -7.8220 -10.5590 -9.3130 -4.3430 +7000.0 0.0000 2.6496 4.7785 5.9230 5.7250 3.9930 0.7450 -3.6880 -8.4930 -11.9820 -10.7550 -4.9320 +7500.0 0.0000 3.3256 6.0442 7.6140 7.6170 5.8220 2.2460 -2.7410 -8.2140 -12.2500 -10.9680 -4.4080 +8000.0 -0.0000 4.0228 7.3637 9.4140 9.7020 7.9650 4.2160 -1.1410 -7.0860 -11.4920 -10.0710 -2.8440 +8500.0 -0.0000 4.7508 8.7536 11.3400 11.9910 10.4180 6.6260 1.0520 -5.2010 -9.8310 -8.1870 -0.3310 +9400.0 -0.0000 5.7424 10.6619 14.0220 15.2540 14.0320 10.3610 4.7090 -1.7250 -6.4410 -4.3860 4.2420 +9850.0 -0.0000 6.2382 11.6161 15.3630 16.8855 15.8390 12.2285 6.5375 0.0130 -4.7460 -2.4855 6.5285 diff --git a/specsim/data/sdss/eboss-KPNO-extinction.dat b/specsim/data/sdss/eboss-KPNO-extinction.dat new file mode 100644 index 0000000..a40dd59 --- /dev/null +++ b/specsim/data/sdss/eboss-KPNO-extinction.dat @@ -0,0 +1,71205 @@ +# ------------ ------------- +WAVELENGTH EXTINCTION +2980.0 1.0397968932870771 +2980.1 1.0396922713821395 +2980.2 1.0395876571502285 +2980.2999999999997 1.0394830505913468 +2980.3999999999996 1.0393784517054927 +2980.4999999999995 1.039273860492667 +2980.5999999999995 1.0391692769528698 +2980.6999999999994 1.0390647010861 +2980.7999999999993 1.0389601328923588 +2980.899999999999 1.0388555723716477 +2980.999999999999 1.038751019523965 +2981.099999999999 1.0386464743493091 +2981.199999999999 1.0385419368476816 +2981.299999999999 1.0384374070190825 +2981.3999999999987 1.038332884863511 +2981.4999999999986 1.0382283703809687 +2981.5999999999985 1.0381238635714558 +2981.6999999999985 1.0380193644349696 +2981.7999999999984 1.0379148729715135 +2981.8999999999983 1.0378103891810841 +2981.999999999998 1.0377059130636832 +2982.099999999998 1.0376014446193107 +2982.199999999998 1.0374969838479666 +2982.299999999998 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blur +# Lateral positioner offset=0.2 arcsec +# +# QSO, treating as a point-source +# +# Wavelength FiberAcceptance +col1 col2 +2980.0 0.51099 +2980.1 0.51099 +2980.2 0.51099 +2980.2999999999997 0.51099 +2980.3999999999996 0.51099 +2980.4999999999995 0.51099 +2980.5999999999995 0.51099 +2980.6999999999994 0.51099 +2980.7999999999993 0.51099 +2980.899999999999 0.51099 +2980.999999999999 0.51099 +2981.099999999999 0.51099 +2981.199999999999 0.51099 +2981.299999999999 0.51099 +2981.3999999999987 0.51099 +2981.4999999999986 0.51099 +2981.5999999999985 0.51099 +2981.6999999999985 0.51099 +2981.7999999999984 0.51099 +2981.8999999999983 0.51099 +2981.999999999998 0.51099 +2982.099999999998 0.51099 +2982.199999999998 0.51099 +2982.299999999998 0.51099 +2982.399999999998 0.51099 +2982.4999999999977 0.51099 +2982.5999999999976 0.51099 +2982.6999999999975 0.51099 +2982.7999999999975 0.51099 +2982.8999999999974 0.51099 +2982.9999999999973 0.51099 +2983.099999999997 0.51099 +2983.199999999997 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self._eboss_camera_output = [] + for camera in self.instrument.cameras: + meta = dict( + name=camera.name, num_fibers=self.num_fibers, + pixel_size=camera.output_pixel_size) + table = astropy.table.Table(meta=meta) + output_wlen = camera.eboss_wave_out(camera.output_wavelength.value) + column_args['length'] = len(output_wlen) + table.add_column(astropy.table.Column( + name='wavelength', data=output_wlen)) + table.add_column(astropy.table.Column( + name='num_source_electrons', **column_args)) + table.add_column(astropy.table.Column( + name='num_sky_electrons', **column_args)) + table.add_column(astropy.table.Column( + name='num_dark_electrons', **column_args)) + table.add_column(astropy.table.Column( + name='read_noise_electrons', **column_args)) + table.add_column(astropy.table.Column( + name='random_noise_electrons', **column_args)) + table.add_column(astropy.table.Column( + name='variance_electrons', **column_args)) + table.add_column(astropy.table.Column( + name='flux_calibration', **column_args)) + table.add_column(astropy.table.Column( + name='observed_flux', unit=flux_unit, **column_args)) + table.add_column(astropy.table.Column( + name='flux_inverse_variance', unit=flux_unit ** -2, + **column_args)) + # Add bytes used in this table to our running total. + #for name in table.colnames: + # d = table[name].data + # self.table_bytes += np.prod(d.shape) * d.dtype.itemsize + + self._eboss_camera_output.append(table) + if self.verbose: print('Allocated {0:.1f}Mb of table data.' .format(self.table_bytes / (2. ** 20))) @@ -562,6 +601,46 @@ def simulate(self, sky_positions=None, focal_positions=None, # Zero our random noise realization column. output['random_noise_electrons'][:] = 0. + if self.instrument.name.lower() == 'eboss': + + shape = (self.num_fibers,) + column_args = dict(dtype=float, length=len(output['wavelength']), shape=shape) + flux_unit = u.erg / (u.cm**2 * u.s * u.Angstrom) + + # Loop over cameras to calculate their individual responses + # with resolution applied and downsampling to output pixels. + for output, camera in zip(self._eboss_camera_output, self.instrument.cameras): + + if camera.name == 'b': + cam_idx = 0 + elif camera.name == 'r': + cam_idx = 1 + + # Returns bin centers of downsampled wavelength grid + wave_in = self.camera_output[cam_idx]['wavelength'] + + output['num_source_electrons'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['num_source_electrons']) + output['num_sky_electrons'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['num_sky_electrons']) + output['num_dark_electrons'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['num_dark_electrons']) + output['read_noise_electrons'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['read_noise_electrons']) + #output['random_noise_electrons'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + #self.camera_output[cam_idx]['random_noise_electrons']) + output['variance_electrons'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['variance_electrons']) + output['flux_calibration'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['flux_calibration']) + output['observed_flux'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['observed_flux']) + output['flux_inverse_variance'] = camera.downsample_to_eboss(output['wavelength'], wave_in, + self.camera_output[cam_idx]['flux_inverse_variance']) + + # Zero our random noise realization column. + output['random_noise_electrons'][:] = 0. + def generate_random_noise(self, random_state=None, use_poisson=True): """Generate a random noise realization for the most recent simulation. @@ -608,6 +687,19 @@ def generate_random_noise(self, random_state=None, use_poisson=True): else : output['random_noise_electrons'] = random_state.normal(scale=np.sqrt( mean_electrons + output['read_noise_electrons']**2)) + if self.instrument.name.lower() == 'eboss': + for output in self._eboss_camera_output: + mean_electrons = ( + output['num_source_electrons'] + + output['num_sky_electrons'] + output['num_dark_electrons']) + if use_poisson : + output['random_noise_electrons'] = ( + random_state.poisson(mean_electrons) - mean_electrons + + random_state.normal(scale=output['read_noise_electrons'])) + else : + output['random_noise_electrons'] = random_state.normal(scale=np.sqrt( mean_electrons + output['read_noise_electrons']**2)) + + def save(self, filename, clobber=True): """Save results of the last simulation to a FITS file.