{ "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/v0.11?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" ] } ], "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": [ "'4.10.2'" ] }, "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-datasets/joint-crab/spectra/hess/arf_obs23559.fits\n", "read RMF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/rmf_obs23559.fits\n", "read background file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/bkg_obs23559.fits\n", "read ARF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/arf_obs23523.fits\n", "read RMF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/rmf_obs23523.fits\n", "read background file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/bkg_obs23523.fits\n", "read ARF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/arf_obs23592.fits\n", "read RMF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/rmf_obs23592.fits\n", "read background file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/bkg_obs23592.fits\n", "read ARF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/arf_obs23526.fits\n", "read RMF file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/rmf_obs23526.fits\n", "read background file /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/bkg_obs23526.fits\n", "1: /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/pha_obs23559.fits OBS_ID: 23559 MJD_OBS: N/A\n", "2: /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/pha_obs23523.fits OBS_ID: 23523 MJD_OBS: N/A\n", "3: /Users/adonath/data/gammapy-datasets/joint-crab/spectra/hess/pha_obs23592.fits OBS_ID: 23592 MJD_OBS: N/A\n", "4: /Users/adonath/data/gammapy-datasets/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": 9, "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": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }