{ "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/v0.8?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": [ "'4.10.0'" ] }, "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/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/arf_obs23559.fits\n", "read RMF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/rmf_obs23559.fits\n", "read background file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/bkg_obs23559.fits\n", "read ARF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/arf_obs23523.fits\n", "read RMF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/rmf_obs23523.fits\n", "read background file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/bkg_obs23523.fits\n", "read ARF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/arf_obs23592.fits\n", "read RMF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/rmf_obs23592.fits\n", "read background file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/bkg_obs23592.fits\n", "read ARF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/arf_obs23526.fits\n", "read RMF file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/rmf_obs23526.fits\n", "read background file /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/bkg_obs23526.fits\n", "1: /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/pha_obs23559.fits OBS_ID: 23559 MJD_OBS: N/A\n", "2: /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/pha_obs23523.fits OBS_ID: 23523 MJD_OBS: N/A\n", "3: /Users/jer/git/gammapy-extra/datasets/joint-crab/spectra/hess/pha_obs23592.fits OBS_ID: 23592 MJD_OBS: N/A\n", "4: /Users/jer/git/gammapy-extra/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 = 641.651\n", "Final fit statistic = 135.43 at function evaluation 193\n", "Data points = 112\n", "Degrees of freedom = 110\n", "Probability [Q-value] = 0.0503069\n", "Reduced statistic = 1.23118\n", "Change in statistic = 506.222\n", " p1.gamma 2.6166 \n", " p1.ampl 4.34008e-20 \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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4xmZ2kJnVifaX4wltOSZE47cn1PzPcfdxaeXmmdlAM2sSld0FOKug7HJYZ38rxTa+npJq8oUdOP6PcErwTcK1iBsILXw/icZvQWiotoxw3W+Iu0+KDqy9gJ0Ijbd+Au4h/HovysHAp2a2jNBQpk+UWEq63eMkwoH3syjGsYRfq+uJDrwHsO7tKyMIPxQ+At6P5rWKwr/M1wgtTOda6NBge2BZWsI7O1rOuYRT2o8SDmwQNpwXCddZZhNWWlkvD5RXaeb9DOEUcUHDrSOjU+sFHiA0hnmouBm5+1OEX9qjLZyy/ISQeCG0et+YcF3QCTvxqRZq1BBqQpdbOAV4YRGzeDBahu8I631qwYhi1kl9wjoZSTiDUKCk7+Xx6O8CM3vP3ZdGy/AY4Xs6jvArv0B594l15kPYXy8g1GJ+JtRizyxiG/6Duy8gnGm5gJBMLwZ6uvtPhU1fgtuBo81soZndUcQ0FxLaVkyL4ryeoo81Ra63FI8QzvL8DHQinEqH9Y8DDQn77sKozAWEsyvFlhOtvwOBPoTvdm4Uc8EPk0KXJ7qUcQ3wVrRtdi1iGa8kNJhbTKixP5kyrrgfZ+tx9+mERpF3Rcs5k9AOgCjefxO2o7mE2u3fo3FlPZa+HpX9KnCTu5fYsZK7f0ZoAzSFkJx2IJzmLsl9hOPHZMJ+sILQcLE08RS1XH8GdiEcR5alvArO2G3L2juQ3iK0azg9GpdPaDdV0PDuHOAIdy+4V/4CwiW/e239y5JE8y64w+Bhwl1HdxaMjKbfg9JJ399K2sbXY+v/gEsZafYC4TaZxNw/aaFGOZfQCGJxNKwd8B9CY4XSXMtNLa8LYRm7FDNND0LDl/RTnoVNezHhUsHFxUxzPaEh08lFTZMEZnYFobHYCcVMsxnhtHGLghpV0pRmnVRlhW3DZnYaofHWvvFFVrnM7DPC9dDPSjHtSEIDp8srPbAyiPMYW8SxtC3RHTRpNWmpokqqyU8CJmYhjrLYkFDjW5wybHvg67Im+BT/Sn1j4dTpIdGpmoJrxU+VsqyvWbdWiJltbWY7ppy+6VeG8hLLwmnk8wmtlhOZ4CNfk7ZOctC/0t5vRzhY56TolPuDpUnwCTeJ+I6xhR1LJccUW5OvCszsfMLpx3Pc/fGSpi9lmRsQTg9tTbiu9TzhdqhyJTIL11gfJbQInUdo7f/vCvwoyYriavIWrgv/SDhldHB0bVMSwMyeJlwiOCYHkmBGJLUmnzSVVZO3cOdFYWcEH44abEolqfJJXkRERAqXE0+hExERkfUpyYuIiOSonH1Gb5yaNWvmbdu2jTsMEZEqZcaMGT+5e/O448glSvKVoG3btkyfPj3uMEREqhQzS+9+WSpIp+tFRERylJK8iIhIjlKSFxERyVFK8iIiIjlKST6DzKyXmQ1fvFi9RIqISPyU5DPI3ce5+4BGjYp7sJ6IiEh2KMmLiIjkKCX5hOk9bAq9h02JOwwREckBSvIiIiI5Skm+ClOtX0REiqMkL+vRjwcRkdygJJ8wS1es5LtFy5kxe2HcoYiISBWnJJ8gM2Yv5Iu5S5mzcDnH3zM1tkSvHxoiIrlBST5Bps5awBoP/69ctYapsxYUO31lJOOk/NAQEZGKU5JPkK7tmpJn4f/8mnl0bde0yGkrKxmX9YeGiIgkl5J8gnRq04StWzSgdZO6jOrflU5tmhQ5bWUl47L80BARkWSrGXcAsq4GdfJpUCe/2AQPIRnXYA1rMPJrZC4ZF/zQWLJiFbf36VhiHCIiklxK8lXR6lV0+vJmHqs1nqlrtqFr3ud0ehZou3t4tdkNGm5S7uJL+0NDRESSTUk+jZm1Ay4DGrn70dGwesAQ4HdgkruPii3AXxbA2FPhf68zv34vvqu7H5123gW+fhM+eQJm3B+ma9ohJPu2e0Db3aBhy9hCFhGReORUkjez+4CewDx33z5l+MHA7UAN4B53/3dRZbj7LKCfmY1NGXwkMNbdx5nZGCCeJP/9BzDmRFj2Ixw+hPvfbReG79YNdjsX1qyGuR+FhP/1m/Dp0/DeA2GaDdvBVofAPn+HWvViCV9ERLIrp5I8MBK4C3iwYICZ1QAGAwcAc4BpZvYsIeFfl/b509x9XiHltgY+jv5fneGY1zFmYLfCR3w4GsadBxs0g9PGQ6ud4d20XunyakDLjuHV/Zwo6X8MX7/JjNefpeOUweR9NQGOvg822bHsMYiISJWSU0ne3SebWdu0wV2AmVENHTMbDRzu7tcRav2lMYeQ6D8g23ckrF4JL/0D3rkb2uwOx4yE+s1L99m8GtByJ2i5Ezd83IntfvuAf/5+O9yzHxxwFew6EMwqNXwREYlPdbiFrhXwbcr7OdGwQplZUzMbCnQ0s0ujwU8CR5nZ3cC4Ij43wMymm9n0+fPnZybyZfPhwSNCgu96Jpz09DoJfszAbmWqdX9aeycY9Ba03w/G/w0e6Q2//JSZWEVEJHFyqiZfhMKqql7UxO6+ABiUNuwX4NTiZuLuw4HhAJ07dy6y/FL7bka4/v7rAvjzcPhT7woXCUC9ptD3UXh3BLx0Ody9Gxw5DNrtnZnyRUQkMapDTX4OsGnK+9bA95UxIzPrZWbDFy9eXLGC3h8F9/UAqwGnTchIgl+nC1wz2HUAnP4q1GkYzha8ckW4NCAiIjmjOiT5acAWZra5mdUC+gDPVsaM3H2cuw9o1KhR+QpY9Ts8fwE8cyZs1hUGTArX1CuoyC5wW+wQ5rHzSfDmrXDfQfDz/yo8PxERSYacSvJm9igwBdjKzOaYWT93XwWcDUwAPgcec/dP44yzSAu/hg8eCS3jT3gynFrPgGK7wK1VDw67A455ABbMhKF7wMdjCy9IRESqlJy6Ju/ufYsY/gLwQmXP38x6Ab06dOhQvgKabwlnT4dGRbYLLJeC/ujXeDH90W93RLgt74nT4Yl+MPNV6PFvqFPOsxIiIhK7nKrJx63Cp+sh4wkeyvDgm8abwSnPw15/g49Gw5Bu8NVLGY9HRESyQ0m+mmhQJ59WjeuW3B99jZqhV7x+r0DthvDIMfDkAPj15+wEKiIiGaMkL4Vr3QkGvh5q9Z88AYO7wKdPgVf87kAREckOJfkMytgtdElRs3ao1Q+YBA1bweOnwJgTYOncmAMTEZHSUJLPoIxck0+iFjtA/1dh/yvgPy+HWv37o/6o1fceNoXew6YUW4SIiGSfkryUTo2asPtf4Yy3oPk24V7+h4+CRd+W/FkREYlFTt1CJ0XL2JPlmm0Bp74I0+4JveQN6cqBdU7m5Q0OzUz5IiKSMarJZ1DOXZMvSl5e6Bb3zCnQujP9lgzmygUXwA8fxR2ZiIikUJLPoJy9Jl+UJm3gxKcZ3OgCWqz+HobvBS9cDMsXxR2ZiIigJC8VZcbzeXvz51rDmLHlX2HaCLhrF/hwtG63ExGJmZK8VEjBw29mLVrD8Z/twoye40PPeU8NhPsPgR+T+ZgAEZHqQEk+g6rNNfkU6z38ZklT6Pcy9LoD5n8RHngz4TJYsSTeQEVEqiEl+QyqdtfkWfvwG0h5+E1eHnQ6Gc6ZATufCFMGh1P4H4/VKXwRkSxSkpcKKfbhNxtsCL1uDx3pNGgRnm73QC+Y/2V8AYuIVCNK8lJhJT78pnUnOP01OPRmmPsR3L0bTLwWVq7IaBzqeU9EZF1K8pIdeTVgl/6c3nAYb9TaHV6/HobuDl+/GXdkJdKPBxGpqpTkJauW1GjMXU3+Bic8Aat/h5GHwjNn61G2IiKVQEk+g6pj6/py67A/nDkVdjsPPngkPPRGDfNERDJKST6DqmPr+gqptQEc8H/hUbaNNg0N80YdDQtnxx2ZiEhOUJKX+G2yI/R/BQ6+Hr6ZCkO6wtt3wupVZSpm6YqVfLdoOTNmL8xoeJVVrohIZVOSlwobM7BbxZ9yl1cDug6Cs96BdnvDS5fDiH3gu/dK9fGCnvfmLFzO8fdMzVhCrqxyRUSyQUlesqrEWnGj1tDnETj2IX6eN4c1I/YNDfOW/lhsuev1vDdrQUbiraxyRUSyQUlesqbUtWIz2PYwzm8+gufrHRkednPnzjD5Jli5vNCPFNrzXgZUVrkiItmgJC9ZU9Za8fK8ejzc8PS1p/Bfuwru6gKfPLFeK/xie96rgMoqV0QkG5TkJWvKXStu2h76jIKTx0GdRjD2NLjvIJgzY53JSux5r5wqq1wRkcqmJJ9Buk++eBWuFW++Jwx8HQ67E37+H9yzLzw5ABZ/V+ZY1IudiFQHSvIZpPvkS1bhWnFeDdj5JDj3Pdj9fPj0abizE0y8ltprMtsXvohIVackL4lVbEv82g1g/3/B2dNgq4Ph9eu5bX4/9v51AqxZnf1gRUQSSEleEqnULfGbtIFjRsJpE1hQoxlnLL41POXuqwnqIldEqj0leUmkMt+fvllXLm96G7c2/jus/g0eORZG9lyvcV55ZKSzHxGRGNSMOwCRwhS0xF/jpW+JP2ZQd6A7rD4fZoyESf8OjfO2PQL2+2dopS8iUo2oJi+JVKGW+DXyocvpcN4HsNff4D8vhafcvXARLJsPqD96EakelOQlsSrcEr92A9jn73DuB6FF/rR74Y6dmPH0neqPXkSqBSV5yX0NNoaet4ae89rvw9Tp74KHFvjqj15EcpmuyUtWxdqArdkW0PthurZ7i/wn5rMKyGcNXet8C3SILy4RkUqimnwGqce7qqHTLrvRvsWG7Fp/PqMaj6DThCNg9PHw86y4QxMRySgl+QxSj3dVR4O6+axuvi2dzh8L+/4D/jsRBu8KL/0DViyJOzwRkYxQkpfqLb8u7Hlh6CZ3h2Pg7TvCY21njFTPeSJS5SnJiwA0aAFHDIEBk6BpBxh3HgzbE/43Oe7I/qCH6ohIWSnJi6Rq2RFOfTF0lbtiCTzQK1yvX/DfuCMTESkzJXmRdGaw3Z/Dw2/2+yfMmhR1pnMx/PJT3NGJiJSakrxIUfLrwB4XwDkzoOOJMO0euH0nmHwT/P5r3NGJiJQoUUnezD4zs8vMTJ2MS3IeDNOgBfS6Dc6cApvvCa9dFRrnvfegGueJSKIlKskDfYH6wEtm9o6Z/cXMWsYdlAgAzbeCvo/AqeOhUWt49hw91lZEEi1RSd7dP3T3S929PXAe0AaYamavmdnpMYcnOaRCZwnadIN+L8OxD659rO0DveC7ij/Wtjh6qI6IlFWiknwqd5/q7n8FTgKaAHfFHJLIWmaw7eFw1rtwyE0w73MYsS88fmql9Jw3Y/ZCPVRHRMoskUnezHYxs1vMbDZwJTAcaBVzWCLrK3is7bnvw54Xw1fj4a4uMOEyWJ65RDx11gLWRFcE9FAdESmtRCV5M7vWzP4L3A18D+zm7nu5+93urnuXJLnqNIR9L2NgkxG8VntfmDIY7tgZ3hkOq1dWuPiu7ZqSZ+H//Jp5dG3XtMJlikjuS1SSB34Derh7Z3e/yd3nxB2QSFksqtGUYY3/CoPegBbbw4sXwZBu8OX4CjXO69SmCVu3aEDrJnUZ1b8rndo0yWDUIpKrEpXk3f1Kd//KzDYws3+Y2QgAM9vCzHrGHZ9IqbXYAU56FvqOBhwe7Q0PHg5zPy53kQ3q5NOqcV0leBEptUQl+RT3E2r1Bc2f5wBXZ2PGZtbOzO41s7HFDRMpkRls1QPOnAo9boC5H8HQPcKtd0t/jDs6EakGkprk27v7DcBKAHdfDlhJHzKz+8xsnpl9kjb8YDP70sxmmtklxZXh7rPcvV9Jw0RKrUY+7DowNM7reiZ88GjoTGfyjbByedzRiUgOS2qS/93M6gIOEPWA91spPjcSODh1gJnVAAYDPYBtgb5mtq2Z7WBmz6W9NsroUoikqtsEDr4WznoH2u0Nr10Nd3aGz8fFHZmI5KikJvl/AeOBTc1sFPAqcHFJH3L3ycDPaYO7ADOj2vjvwGjgcHf/2N17pr3mlTdgMxtgZtPNbPr8+fPLW4xUB03bQ59RcMrzIfGPOSE86W7JD3FHJiI5JpFJ3t1fBo4ETgEeBTq7+6RyFtcK+Dbl/RyKuefezJqa2VCgo5ldWtSwQmIeHt0V0Ll58+blDFWqlba7w4CJsP8VMPOV8KS7affCmjVxR5YxvYdNofewKXGHIVJtJTLJm9n/ufsCd38HlJ/ZAAAc8UlEQVTe3Z8Dfo5q9OUqrpBhRd7LFM13kLu3d/frihomUpgydz1bIx92/yuc8Ta03AmePx9GHgLzv6rcQFMoEYvkrkQmeWCzlFp0beBp4D/lLGsOsGnK+9aEjnYyzsx6mdnwxYsXV0bxknAV6nq2aftwy93hg0MXuUN3g9dvgFW/V17AIpLzkprkTwV2iBL9OGCiu19RzrKmAVuY2eZmVgvoAzybmTDX5e7j3H1Ao0aNKqN4SbgKdz1rBh1PgLOnwTa9YOI1MGxP+PZdIEGP3hWRKiNRSd7MdjaznYGOwO1Ab0IN/vVoeEmffxSYAmxlZnPMrJ+7rwLOBiYAnwOPufunlbYQUm1lrOvZ+hvB0ffBcY/Bb0vh3gPh+QthxZLMBVsBOr0vUnXUjDuANDenvV9IuO3tZsJ19H2L+7C79y1i+AvAC5kIsDhm1gvo1aFDh8qelSRQQdezS1as4vY+HSveM92WB8FZU8Otdu8Mgy9fgENuhK0OCbV+EZESJC3JXwZMca9AJ98xcvdxwLjOnTufHncsEo8GdfJpUCc/c13P1m4APa6H7Y+GcefC6ONgi4PCsA03z8w8RCRnJep0PeHZ8TPMbLSZnWJmLeIOSCQRNt0FBk6GA6+G2W/B4F1h0r9h5Yq4IytWme82EJGMSlSSj25T2xm4AmgCjDSzKdEjaPeMeq8TqZ5q5EP3c0LDvK0PhUnXwZBd4auX4o6sUBW620BEMiJRSb6Au3/h7re6+8GE6/BvAscA78QbWfF0C51kRcOWcMz9cNIzUKMWPHJM6DFv0TflKq6yatsVvttARCoskUnezLqaWQP44+E0bwAPu3vneCMrnm6hk6xqtzcMeiv0mPff1+CuLjD5JlhVmsc8BJVZ287Y3QYiUm6JTPLA3cCylPe/RMNEckqFb0erWSv0mHfWu7DFAfDaVXB395D0S6Eya9sFdxu0blKXUf27Zq4xooiUWlKTvKW2sHf3NSTvTgCR5Gi8KfR+CI5/AnwNPPRneOxkWFJ8547lqW2X5fR+gzr5tGpcVwleJCZJTfKzzOxcM8uPXucBs+IOqiS6Ji+x22J/OGMK7HMZfDUe7toFpgyB1asKnbystW01phOpWpKa5AcB3YHvCH3P7woMiDWiUtA1eUmE/Dqw18Vw5lTYrBtMuBRG7A1zphc6eVlq22pMJ1K1JDLJu/s8d+/j7hu5+8buflxFnvUuUi1tuDkc/zgc+yD88hPcsz8891dYXv7atxrTiVQtiUzyZralmb1qZp9E73c0s8vjjkukyjGDbQ8P99Z3PQNmjAyn8D8cA+XoWFKN6USqlkQmeWAEcCmwEsDdPyI8PS7RdE1ekmK9Vvu1G8DB18GASdC4DTw1AB7oVa7n1qsxnUjVkdQkv4G7v5s2rPCWQwmia/KSeJv8Cfq9DD1vhbkfwd3d6b10JPle+nvrRaTqSGqS/8nM2hOePIeZHQ38EG9IIjkiLw86nwZnz4Dtj+LIZaO5ef5AmPV63JGJSIYlNcmfBQwDtjaz74C/AGfEG5JIjqnfHI4cxpUbXs9qasCDh8G4vyTmufUiUnGJ7GDG3WcB+5tZPSDP3ZfGHZNIaYwZ2C3uEMrss9p/4uLmQ3h485dhymCY+Qocdge037fCZVfF70MklySyJm9m55lZQ+BX4FYze8/MDow7LpFMS8qjWFdabTjoGuj3EtSsE3rMe/ZcWKFGpCJVWSKTPHCauy8BDgQ2Ak4F/h1vSCVT63opi0T2HrdpFxj0Bux2Hrz/EAzpBv95Je6oKqzCzwgQqaKSmuSj7jY4BLjf3T9MGZZYal0vZZHY3uPy68IB/xda4deqD6OOgmfOguWL4o5MRMooqUl+hpm9REjyE6LHzq6JOSaRjEp873GtO8PAybD7+fDBo6FW/9VLcUclImWQqIZ3ZlbT3VcB/YCdgFnu/quZNSWcshfJGQW9xy1ZsYrb+3SMrXOZYhvH5deB/f8F2/QKtflHjuGMuvvzYMOB2QtQRMotaTX5qWb2NOFhND+7+yIAd18Q9XonklOqTO9xrXYOveXteRF7LH+NW+YPgE+eKFfXuCKSPYlK8u7eGTgvenubmU0zs1vN7EAzqx1nbCLVXs3asO/lXNrsThbUaAZjT4NHesOib+OOTESKkKgkD+Dus919qLsfQXjc7Dhgf+ANM3s+3uhEqobKvDXvhrNPoP0lU+Gg6+DrN2HwrjD1blizOuPzEpGKSVyST+XuK4H3gYfdvQtV4JnyInHLyq15NWpCtzPhrKnQpjuMvyQ8ynbux5mfl4iUWyKTvJlNMrOGZrYh8CFwv5nd4u7fxR1bcXSfvCRBVm/Na7xZeGb9UffC4m9h2F7w8r9g5fLKm2c5JKXTIZFsS2SSBxpFneEcSbhPvhPhlH2i6T55SYKs35pnBjscDWe9Czv1hbduC7fb/Xdi5c63lBLZ6ZBIliQ1ydc0s02AY4Hn4g5GpCopuDWvdZO6jOrfNXst9zfYEA4fDCePA8uDh46ApwbBL/F28pPYTodEsiCpSf5KYAIw092nmVk74D8xxyRSZcR6a97me8IZb8MeF8LHj8PgLvDp09mPI5L4TodEKlFSk/wP7r6ju58JfzyV7paYYxKR0sqvA/v9I/SY16g1PH4yPHYSLJuf9VBiO7MhkgBJTfJ3lnKYiCTZxttB/1dhv3/Bly+GWv3HY7PeiU6V6XRIJMOS1q1tN8K98c3N7PyUUQ2BGvFEJSIVUqMm7HE+bHUIPHMmPNEPPn0KDr0FGmwcd3QiOS1pNflaQH3Cj48GKa8lwNExxiUiFbXR1nDaS+EJd/95OdTqP3pMXeOKVKJE1eTd/XXgdTMb6e6z445HRDKsRs3wrPote4QH3jx5OnzyJPS8FRpuEnd0IjknaTX5ArXNbLiZvWRmrxW84g5KRDKk+ZZw2ng48BqYNRGG7AofPKJavUiGJaomn+JxYChwD1BlOsQ2s15Arw4dOsQdikjy5dWA7mfDVlGt/ukzwq12RwyBes3ijk4kJyS1Jr/K3e9293fdfUbBK+6gSqIe70TKoWl7OOUFOPjfMGsSDN0Dvnkn7qhEckJSk/w4MzvTzDYxsw0LXnEHJSKVJC8Pup4B/V+GmrVg5CEwZYhO34tUUFJP158c/b0oZZgD7WKIRUSyoPewKQCMGfA6PH0mTLgUvpkSusqt0zDm6ESqpkQmeXffPO4YRCQmdRtDn1Hw9p3wyhXw46dw7IPQYvu4IxOpchKZ5M3spMKGu/uD2Y5FRGJgBrudC607w+Onwj37hc5zOh4fd2QiVUpSr8nvkvLaA7gCOCzOgEQkBm26w6A3YNMuobe8Z85K3LPqRZIskTV5dz8n9b2ZNQIeiikcEYlT/Y3gxKdh0nUw+Ub4/kM49gF6j50HwJiB3WIOUCS5klqTT/crsEXcQYhITPJqwL6Xw/FjYckcGL43XZa/GXdUIomXyJq8mY0jtKaH8GCabYDH4otIRBJhiwNg4Bvw+Mlc8N3VTPptf/hlONTTM+JFCpPIJA/clPL/KmC2u8+JKxgRSZDGm8Kp43ny1nM47JfH4a7OcNC18Kc+ocFeIXRKX6qrRJ6ujx5U8wXhCXRNgN/jjUhEEqVmLcY0PIVLmg2GZlvA04PgwcNgwX/jjkwkURKZ5M3sWOBd4BjgWOAdM9OjZkVkHd/mt4VTx4fb677/EIZ0g9dvhFWqF4hAQpM8cBmwi7uf7O4nAV2Af8Qck4gkUV4e7NIPzn4Xtj4EJl4Nw/aA2VPijkwkdklN8nnuPi/l/QKSG6uIJEGDFnDMSDjucfj9V7j/YBh3HixfGHdkIrFJasO78WY2AXg0et8beCFbMzezdoSzCY3c/eho2BHAocBGwGB3fylb8UjuUoOwSrDlgdB2Kky8FqbeDV+8AAdfB9sfVWTDPJFclajasZl1MLPd3P0iYBiwI/AnYAowvJRl3Gdm88zsk7ThB5vZl2Y208wuKa4Md5/l7v3Shj3t7qcDpxB+dIhIUtWqBwddAwMmQqNW8EQ/GH0c/PJT3JGJZFWikjxwG7AUwN2fdPfz3f2vhFr8baUsYyRwcOoAM6sBDAZ6ANsCfc1sWzPbwcyeS3ttVEL5l0dliUjSbfIn6P8qHHgNzHwF7u4e/mZI72FT/nh6nkgSJS3Jt3X3j9IHuvt0oG1pCnD3ycDPaYO7ADOjGvrvwGjgcHf/2N17pr3mrVcoYMH1wIvu/l4h4weY2XQzmz5//vzShCoi2ZBXA7qfDadPhLobwsNHwYuXwMoVcUcmUumSluTrFDOubgXKbQV8m/J+TjSsUGbW1MyGAh3N7NJo8DnA/sDRZjYo/TPuPtzdO7t75+bNm1cgVJHqaemKlXy3aDkzZldSQ7kW24fT910Gwjt3w4h9wmNsRXJY0pL8NDM7PX2gmfUDZlSg3MJa23ghw8II9wXuPsjd27v7ddGwO9y9UzR8aAViEZE0M2Yv5Iu5S5mzcDnH3zO18hJ9fl045IbQB/4vP8HwfULjvDVrKmd+IjFLWpL/C3CqmU0ys5uj1+tAf+C8CpQ7B9g05X1r4PsKlFcoM+tlZsMXL16c6aJFctrUWQtYE/3sXrlqDVNnLajcGW5xAJzxNrTfB8ZfAqOOhqVzK3eeIjFIVJJ39x/dvTtwJfB19LrS3bu5e0X2wGnAFma2uZnVAvoAz1Y03nTuPs7dBzRq1CjTRYuUyZiB3arU7Xld2zUlLzrfll8zj67tsvDAmfrNoe9oOPRmmP1WaJT3Rdbu1BXJikQl+QLuPtHd74xer5Xls2b2KOGWu63MbI6Z9XP3VcDZwATgc+Axd9fFOJGE6NSmCVu3aEDrJnUZ1b8rndo0KfEzGbmGbwa79IeBk6FhSxjdF577a+hMRyQHJDLJV4S793X3Tdw9391bu/u90fAX3H3L6Dr7NZUxb52uFym/BnXyadW4bqkSfMav4TffKtxq1/0cmH4fDN9LjfIkJ+Rcko+TTteLZEelXMOvWRsOvBpOegZWLIYR+8KMkeBFttEVSTwleRGpcir1Gn67vWHQm7BZt9D3/RP9YMWSzJUvkkVK8hmk0/Ui2VGea/hlUn8jOOFJ2Pcf8OlT4fT99x9kdh4iWaAkn0E6XS+SPWW5hl8ueXmw54VwyvOhd7x7D4B3huv0vVQpSvIiIsVp0z2cvm+3D7x4EYw5QY+vlSpDSV5EpCT1moZ76g+8Gr4aD8P2hDnT445KpERK8hmka/IiVV+RT5bLywu32J02IXSKfd9B9Fz2BObqEleSS0k+g3RNXqQaaN0ZBk2GrXpw4tIRXLTwClimJ09KMinJi4iUVd0mcOxDXFn3b7z1Sytm3NEXvpoQd1Qi66kZdwAiIlXRjG8W8cCiP7HGd2TI0lWMevgyOnUZH67b16oXd3gigGryIiLlsrbXPWMl+UxtfRpMvz80yvuuIk/GFskcJfkMUsM7kepjvV73DuoLJz8b3VN/ILx+I6xeFW+QUu0pyWeQGt6JVB+F9rq3+Z5wxluw7REw8Wq4vwf8PCvuULOmyDsTJDZK8iIi5VRor3t1G8PR98KR98D8L2HoHvD+w+CuJChZpyQvIlIZdjwm1OpbdoRnzoLHTqTBGl3Kk+xSkhcRqSyNN4WTnoUDroIvx3Pj/EHstGJa3FFJNaIkLyJSmfLyYLdzYcBEluY14tKF/wiPsP1tabEf06l9yQQl+QxS63oRKVKLHbi02R08U+8YmPEA3L0bzH477qgkxynJZ5Ba14tIcVZZLR5p2A9OfRHM4P5DYMJl4bY7kUqgJC8ikm1tusGgt6DzqTDlLhi+F3z/ftxRSQ5SkhcRiUPt+tDzVjjhCVixGO7ZHyZdD6tXlrkoXb+XoijJi4jEqcP+cOYU2O5ImHQt3HtAuL9eJAOU5EVE4la3CRw1Ao55ABbOhqF7cMiyJ/WseqkwPYVORCQptjsCNusG487j5K+G0/G3afDLWKjXLGOzKDitP2Zgt4yVKcmlmnwG6RY6EamwBhtD30cZ1ug8tv79Exi2F8zRU+2kfJTkM0i30IlIRpjx2gY9+GezW0JnOvcdBNPuBfe4I5MqRkleRCSh/pe/BQx4HdrtDc+fD0+fAb//mtUY1HK/alOSFxFJsg02hOMeg70vhQ9Hh9b31ejxtVIxSvIiIkmXlwd7XwLHj4XFc2DY3vDli3FHtZ6lK1by3aLlzJi9MO5QJKIkLyJSVWyxPwycDBu2hUf7wKtXwZrVcUcFwIzZC/li7lLmLFzO8fdMVaJPCCV5EZGqpEkbOO0l6HgivHETPHxUIp5TP3XWAtZE7QJXrlrD1FkL4g1IACV5EZGqJ78OHH4XHHYnzH6b6346h/a/x9tLXtd2TcmzKLyaeXRt1zTWeCRQkhcRqap2Pgn6TcAx/m/BBTD5Jli9KpZQOrVpwtYtGtC6SV1G9e9KpzZNYolD1qUkLyJSlbXsyCXN7uLdOrvBa1fB/T1gwX9jCaVBnXxaNa6rBJ8gSvIiIlXcL3kNuL3JpXDUvfDTlzB0D5h+nzrPESX5TFK3tiISqx2OhjOmwKZd4Lm/wiPHwtIf445KYqQkn0Hq1lZEYteoFZzwJPS4Af43GYZ0hc+eiTsqiYmSvIhIrsnLg10HwsA3oPFm8NhJ8NQgWKGzjNWNkryISK5qviX0fwX2+ht89BjcvRvb/fZh3FFJFinJi4jkshr5sM/fod/LULM2//z5b5y4ZBisXBF3ZJIFSvIiItVB604w8A3Gb9CLnr88BcP3gu8/iDsqqWRK8iIi1UWtDbi/0Vlcu+HV4fr8PfvB6zfG1oGOVD4leRGRaubD2p3hjLdh28Nh4tVw30Hw08y4w5JKoCQvIlIdbbAhHH1f6EBnwUwYuju8O0Id6OQYJXkRkepsh6PhzCnQpju8cCE8fCQs+T7uqCRDlORFRKq7hi3hhCfg0Jvhm6kwpBt8PDbuqCQDlORFRATMYJf+MOhNaNoBnugHj59KvTVL445MKkBJXkRE1mraHk6bAPtcDp8/y03zB6oDnSpMSV5ERNZVoybsdRH0f5XlVo/Lfr4UpgxWo7wqSEk+jZm1M7N7zWxsyrBtzGyomY01szPijE9EJGta7sRlzW5jRu2uMOHv8OQA+P3XuKOSMsipJG9m95nZPDP7JG34wWb2pZnNNLNLiivD3We5e7+0YZ+7+yDgWKBz5iMXEUmm5Xn1uKXJ5eH0/cePw30HwsLZcYclpZRTSR4YCRycOsDMagCDgR7AtkBfM9vWzHYws+fSXhsVVbCZHQa8CbxaeeGLiCSPW144fX/cmJDgh+8NsybFHZaUQk4leXefDPycNrgLMDOqof8OjAYOd/eP3b1n2mteMWU/6+7dgeMrbwlERBJsy4Pg9IlQfyN46M/w9l26Tp9wOZXki9AK+Dbl/ZxoWKHMrKmZDQU6mtml0bC9zewOMxsGvFDE5waY2XQzmz5//vwMhi8ikiDNOoTH1251CLx0GTx5uq7TJ1jNuAPIAitkWJE/Pd19ATAobdgkYFJxM3H34cBwgM6dO+unrYjkrtoN4NiH4M1b4LWrYf4X0PvhuKOSQlSHmvwcYNOU960B9dkoIlIReXmw54Vw3GOw8BsYvjc7/PZe3FFJmuqQ5KcBW5jZ5mZWC+gDPFsZMzKzXmY2fPHixZVRvIhI8mx5IAyYCPU35u8/X07PZU/oOn2C5FSSN7NHgSnAVmY2x8z6ufsq4GxgAvA58Ji7f1oZ83f3ce4+oFGjRpVRvIhIMjVtD/1f4d063Wm/8su4o5EUOXVN3t37FjH8BYpoMCciIhlQuwG3Nr6MmqykuxXWFErikFM1+bjpdL2IVGtmrLJacUchKZTkM0in60VEJEmU5EVERHKUknwG6XS9iIgkiZJ8Bul0vYiIJImSvIiISI5SkhcREclRSvIZpGvyIiKSJObqfjDjzGw+MLsUkzYCyvqLoKyfKcv0pZm2GfBTGeafC8qznipTNuLJ9DwqWp72laqhouu5jbs3z1QwAri7XjG9gOGV/ZmyTF+aaYHpcX9vVWE9VfV4Mj2PipanfaVqvJK2r+jlOl0fs3FZ+ExZpi9PPNVB0r6XbMST6XlUtDztK1WDvpeE0el6KRMzm+7uneOOQyTptK9IEqgmL2U1PO4ARKoI7SsSO9XkRUREcpRq8iIiIjlKSV5ERCRHKcmLiIjkKCV5qRAz29bMHjOzu83s6LjjEUkSM2tnZvea2diUYfXM7AEzG2Fmx8cZn+Q+JXlZj5ndZ2bzzOyTtOEHm9mXZjbTzC6JBvcA7nT3M4CTsh6sSJaVZf9w91nu3i+tiCOBse5+OnBYlsKWakpJXgozEjg4dYCZ1QAGE5L6tkBfM9sWeAjoY2Y3Ak2zHKdIHEZS+v2jMK2Bb6P/V1dSjCKAkrwUwt0nAz+nDe4CzIxqJr8Do4HD3X2eu58FXEL166dbqqGy7B9FFDGHkOhBx2CpZNrApLRasbb2AeFA1crM2prZcOBB4MZYIhOJX1H7R1MzGwp0NLNLo3FPAkeZ2d2oG1ipZDXjDkCqDCtkmLv718CALMcikjRF7R8LgEFpA38BTs1KVFLtqSYvpTUH2DTlfWvg+5hiEUka7R+SSEryUlrTgC3MbHMzqwX0AZ6NOSaRpND+IYmkJC/rMbNHgSnAVmY2x8z6ufsq4GxgAvA58Ji7fxpnnCJx0P4hVYkeUCMiIpKjVJMXERHJUUryIiIiOUpJXkREJEcpyYuIiOQoJXkREZEcpSQvIiKSo5TkRbLMzFab2Qcpr0tK/lR2mNlYM2sX/b+sDJ+bZGYHpQ37i5kNMbPmZjY+07GKSMnUd71I9i13950yWaCZ1Yw6ZKlIGdsBNdx9Vjk+/iihl7cJKcP6ABe5+3wz+8HMdnP3tyoSo4iUjWryIglhZl+b2ZVm9p6ZfWxmW0fD65nZfWY2zczeN7PDo+GnmNnjZjYOeMnM8qKa86dm9pyZvWBmR5vZfmb2VMp8DjCzJwsJ4XjgmULiamZmU8zs0Oj9RVEsH5nZldFkY4GeZlY7mqYt0BJ4Mxr/dFS+iGSRkrxI9tVNO13fO2XcT+6+M3A3cGE07DLgNXffBdgHuNHM6kXjugEnu/u+wJFAW2AHoH80DuA1YBszax69PxW4v5C4dgNmpA4ws42B54F/uvvzZnYgsAXh+ek7AZ3MbM/oaWvvAgdHH+0DjPG1XWpOB/Yo5fcjIhmi0/Ui2Vfc6fqCGvYMQtIGOBA4zMwKkn4dYLPo/5fd/efo/92Bx919DTDXzCZCeN6pmT0EnGBm9xOS/0mFzHsTYH7K+3zgVeAsd389JZYDgfej9/UJSX8ya0/ZPxP9PS2lrHmEmr2IZJGSvEiy/Bb9Xc3a/dOAo9z9y9QJzWxX4JfUQcWUez8wDlhB+CFQ2PX75YQfEAVWEX5sHAQUJHkDrnP3YYV8/mngFjPbGajr7u+ljKsTlS8iWaTT9SLJNwE4x8wMwMw6FjHdm8BR0bX5jYG9C0a4+/eE55tfDows4vOfAx1S3juhNr51yh0AE4DTzKx+FEsrM9somscyYBJwH6FWn2pL4JOSFlREMks1eZHsq2tmH6S8H+/uxd1GdxVwG/BRlOi/BnoWMt0TwH6EZPoV8A6wOGX8KKC5u39WxHyeJ/wweKVggLuvNrM+wDgzW+LuQ8xsG2BK9JtjGXAC4XQ8hOT+JOF0fap9ovJFJIv0qFmRHGJm9d19mZk1JTSE283d50bj7gLed/d7i/hsXWBi9JnVGY5rMnC4uy/MZLkiUjwleZEcYmaTgMZALeAGdx8ZDZ9BuH5/gLv/VsznDwI+d/dvMhhTc8IPh6czVaaIlI6SvIiISI5SwzsREZEcpSQvIiKSo5TkRUREcpSSvIiISI5SkhcREclRSvIiIiI56v8BZCH5vwO4ZxsAAAAASUVORK5CYII=\n", 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\n", 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\n", 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" ] }, "metadata": {}, "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-2.08218e-21\n", "p1.gamma lower bound:\t-0.0643092\n", "p1.ampl upper bound:\t2.14828e-21\n", "p1.gamma upper bound:\t0.0655594\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 2.6166 -0.0643092 0.0655594\n", " p1.ampl 4.34008e-20 -2.08218e-21 2.14828e-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": {}, "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 }