{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.14?urlpath=lab/tree/spectrum_fitting_with_sherpa.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[spectrum_fitting_with_sherpa.ipynb](../_static/notebooks/spectrum_fitting_with_sherpa.ipynb) |\n", "[spectrum_fitting_with_sherpa.py](../_static/notebooks/spectrum_fitting_with_sherpa.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting gammapy spectra with sherpa\n", "\n", "Once we have exported the spectral files (PHA, ARF, RMF and BKG) in the OGIP format, it becomes possible to fit them later with gammapy or with any existing OGIP compliant tool such as XSpec or sherpa.\n", "\n", "We show here how to do so with sherpa using the high-level user interface. For a general view on how to use stand-alone sherpa, see https://sherpa.readthedocs.io" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load data stack\n", "\n", "- We first need to import the user interface and load the data with [load_data](http://cxc.harvard.edu/sherpa/ahelp/load_data.html).\n", "- One can load files one by one, or more simply load them all at once through a [DataStack](http://cxc.harvard.edu/sherpa/ahelp/datastack.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: imaging routines will not be available, \n", "failed to import sherpa.image.ds9_backend due to \n", "'RuntimeErr: DS9Win unusable: Could not find ds9 on your PATH'\n", "WARNING: failed to import sherpa.astro.xspec; XSPEC models will not be available\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/adonath/software/anaconda3/envs/gammapy-dev/lib/python3.7/importlib/_bootstrap.py:219: RuntimeWarning: Unable to load the ciao_version module to determine version number- defaulting 'group' version to 0.0.0\n", " return f(*args, **kwds)\n" ] } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "import glob # to list files\n", "from os.path import expandvars\n", "from sherpa.astro.datastack import DataStack\n", "import sherpa.astro.datastack as sh" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'4.11.0'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import sherpa\n", "\n", "sherpa.__version__" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "read ARF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/arf_obs23559.fits\n", "read RMF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/rmf_obs23559.fits\n", "read background file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/bkg_obs23559.fits\n", "read ARF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/arf_obs23523.fits\n", "read RMF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/rmf_obs23523.fits\n", "read background file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/bkg_obs23523.fits\n", "read ARF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/arf_obs23592.fits\n", "read RMF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/rmf_obs23592.fits\n", "read background file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/bkg_obs23592.fits\n", "read ARF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/arf_obs23526.fits\n", "read RMF file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/rmf_obs23526.fits\n", "read background file /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/bkg_obs23526.fits\n", "1: /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/pha_obs23559.fits OBS_ID: 23559 MJD_OBS: N/A\n", "2: /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/pha_obs23523.fits OBS_ID: 23523 MJD_OBS: N/A\n", "3: /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/pha_obs23592.fits OBS_ID: 23592 MJD_OBS: N/A\n", "4: /Users/adonath/data/gammapy-data/joint-crab/spectra/hess/pha_obs23526.fits OBS_ID: 23526 MJD_OBS: N/A\n" ] } ], "source": [ "ds = DataStack()\n", "ANALYSIS_DIR = expandvars(\"$GAMMAPY_DATA/joint-crab/spectra/hess/\")\n", "filenames = glob.glob(ANALYSIS_DIR + \"pha_obs*.fits\")\n", "for filename in filenames:\n", " sh.load_data(ds, filename)\n", "\n", "# see what is stored\n", "ds.show_stack()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define source model\n", "\n", "We can now use sherpa models. We need to remember that they were designed for X-ray astronomy and energy is written in keV. \n", "\n", "Here we start with a simple PL." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "powlaw1d.p1\n", " Param Type Value Min Max Units\n", " ----- ---- ----- --- --- -----\n", " p1.gamma thawed 2 -10 10 \n", " p1.ref frozen 1e+09 -3.40282e+38 3.40282e+38 \n", " p1.ampl thawed 1e-20 0 3.40282e+38 \n" ] } ], "source": [ "# Define the source model\n", "ds.set_source(\"powlaw1d.p1\")\n", "\n", "# Change reference energy of the model\n", "p1.ref = 1e9 # 1 TeV = 1e9 keV\n", "p1.gamma = 2.0\n", "p1.ampl = 1e-20 # in cm**-2 s**-1 keV**-1\n", "\n", "# View parameters\n", "print(p1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit and error estimation\n", "\n", "We need to set the correct statistic: [WSTAT](http://cxc.harvard.edu/sherpa/ahelp/wstat.html). We use functions [set_stat](http://cxc.harvard.edu/sherpa/ahelp/set_stat.html) to define the fit statistic, [notice](http://cxc.harvard.edu/sherpa/ahelp/notice.html) to set the energy range, and [fit](http://cxc.harvard.edu/sherpa/ahelp/fit.html)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Datasets = 1, 2, 3, 4\n", "Method = levmar\n", "Statistic = wstat\n", "Initial fit statistic = 687.716\n", "Final fit statistic = 158.732 at function evaluation 195\n", "Data points = 128\n", "Degrees of freedom = 126\n", "Probability [Q-value] = 0.0257379\n", "Reduced statistic = 1.25977\n", "Change in statistic = 528.985\n", " p1.gamma 2.61709 +/- 0 \n", " p1.ampl 4.33145e-20 +/- 1.9118e-21 \n", "WARNING: parameter value p1.ampl is at its minimum boundary 0.0\n" ] } ], "source": [ "### Define the statistic\n", "sh.set_stat(\"wstat\")\n", "\n", "### Define the fit range\n", "ds.notice(0.6e9, 20e9)\n", "\n", "### Do the fit\n", "ds.fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Results plot\n", "\n", "Note that sherpa does not provide flux points. It also only provides plot for each individual spectrum." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: The displayed errorbars have been supplied with the data or calculated using chi2xspecvar; the errors are not used in fits with wstat\n", "WARNING: The displayed errorbars have been supplied with the data or calculated using chi2xspecvar; the errors are not used in fits with wstat\n", "WARNING: The displayed errorbars have been supplied with the data or calculated using chi2xspecvar; the errors are not used in fits with wstat\n", "WARNING: The displayed errorbars have been supplied with the data or calculated using chi2xspecvar; the errors are not used in fits with wstat\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sh.get_data_plot_prefs()[\"xlog\"] = True\n", "sh.get_data_plot_prefs()[\"ylog\"] = True\n", "ds.plot_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Errors and confidence contours\n", "\n", "We use [conf](http://cxc.harvard.edu/sherpa/ahelp/conf.html) and [reg_proj](http://cxc.harvard.edu/sherpa/ahelp/reg_proj.html) functions." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p1.ampl lower bound:\t-2.00854e-21\n", "p1.gamma lower bound:\t-0.0625337\n", "p1.ampl upper bound:\t2.0723e-21\n", "p1.gamma upper bound:\t0.0637839\n", "Datasets = 1, 2, 3, 4\n", "Confidence Method = confidence\n", "Iterative Fit Method = None\n", "Fitting Method = levmar\n", "Statistic = wstat\n", "confidence 1-sigma (68.2689%) bounds:\n", " Param Best-Fit Lower Bound Upper Bound\n", " ----- -------- ----------- -----------\n", " p1.gamma 2.61709 -0.0625337 0.0637839\n", " p1.ampl 4.33145e-20 -2.00854e-21 2.0723e-21\n" ] } ], "source": [ "# Compute confidence intervals\n", "ds.conf()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Compute confidence contours for amplitude and index\n", "sh.reg_unc(p1.gamma, p1.ampl)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "- Change the energy range of the fit to be only 2 to 10 TeV\n", "- Fit the built-in Sherpa exponential cutoff powerlaw model\n", "- Define your own spectral model class (e.g. powerlaw again to practice) and fit it" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }