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doc/source/fhelp/ctbutterfly.html
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| 1 | +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> | ||
| 2 | +<html lang="en"><head> | ||
| 3 | +<meta content="text/html; charset=ISO-8859-1" http-equiv="content-type"><title>ctbutterfly</title> | ||
| 4 | + | ||
| 5 | +<link rel="stylesheet" type="text/css" media="screen,print" href="ctools.css"> | ||
| 6 | +<meta content="Michael Mayer" name="author"> | ||
| 7 | +<meta content="Spectral butterfly (confidence band) computation tools" name="description"> | ||
| 8 | +</head> | ||
| 9 | +<body> | ||
| 10 | +<p class="Header">ctbutterfly</p> | ||
| 11 | +<p class="Body">Butterfly calculation tool.</p> | ||
| 12 | +<br> | ||
| 13 | +<p class="Title">Synopsis</p> | ||
| 14 | +<p style="padding-top: 0pt; text-align: left;" class="Body">Calculates | ||
| 15 | +the confidence band of a spectral model, taking into account the | ||
| 16 | +covariance matrix of a likelihood fit. | ||
| 17 | +</p> | ||
| 18 | +<br> | ||
| 19 | +<p class="Title">Links</p> | ||
| 20 | +<ul class="Body"> | ||
| 21 | +<li><a href="ftools_usage.html">Basic FTOOL | ||
| 22 | +Parameter Usage</a></li> | ||
| 23 | +</ul> | ||
| 24 | +<p style="padding-top: 0pt; text-align: left;" class="Body"></p> | ||
| 25 | +<br> | ||
| 26 | +<p class="Title">General parameters</p> | ||
| 27 | +<table id="table1" class="Body" border="0" cellpadding="0" cellspacing="0" width="600"> | ||
| 28 | +<tbody> | ||
| 29 | +<tr> | ||
| 30 | +<td width="50"> </td> | ||
| 31 | +<td colspan="2"><span class="irafpar"><strong>infile | ||
| 32 | +[file]</strong></span></td> | ||
| 33 | +</tr> | ||
| 34 | +<tr> | ||
| 35 | +<td width="50"> </td> | ||
| 36 | +<td width="25"> </td> | ||
| 37 | +<td width="525">XML or fits file that defines the observation</td> | ||
| 38 | +</tr> | ||
| 39 | +<tr> | ||
| 40 | +<td width="50"> </td> | ||
| 41 | +<td> </td> | ||
| 42 | +<td width="525"> </td> | ||
| 43 | +</tr> | ||
| 44 | +<tr> | ||
| 45 | +<td width="50"> </td> | ||
| 46 | +<td colspan="2"><span class="irafpar"><strong>srcmdl | ||
| 47 | +[file]</strong></span></td> | ||
| 48 | +</tr> | ||
| 49 | +<tr> | ||
| 50 | +<td width="50"> </td> | ||
| 51 | +<td width="25"> </td> | ||
| 52 | +<td width="525">Model XML file containing the source and background definitions</td> | ||
| 53 | +</tr> | ||
| 54 | +<tr> | ||
| 55 | +<td width="50"> </td> | ||
| 56 | +<td> </td> | ||
| 57 | +<td width="525"> </td> | ||
| 58 | +</tr> | ||
| 59 | +<td width="50"> </td> | ||
| 60 | +<td colspan="2"><span class="irafpar"><strong>srcname | ||
| 61 | + [file]</strong></span></td> | ||
| 62 | +</tr> | ||
| 63 | +<tr> | ||
| 64 | + <td width="50"> </td> | ||
| 65 | + <td width="25"> </td> | ||
| 66 | + <td width="525">Name of model for which butterfly should be computed</td> | ||
| 67 | +</tr> | ||
| 68 | +<tr> | ||
| 69 | + <td width="50"> </td> | ||
| 70 | + <td> </td> | ||
| 71 | + <td width="525"> </td> | ||
| 72 | +</tr> | ||
| 73 | +<tr> | ||
| 74 | + <td width="50"> </td> | ||
| 75 | + <td colspan="2"><span class="irafpar"><strong>caldb | ||
| 76 | + [string]</strong></span></td> | ||
| 77 | +</tr> | ||
| 78 | +<tr> | ||
| 79 | + <td width="50"> </td> | ||
| 80 | + <td width="25"> </td> | ||
| 81 | + <td width="525">Calibration database repository.</td> | ||
| 82 | +</tr> | ||
| 83 | +<tr> | ||
| 84 | + <td width="50"> </td> | ||
| 85 | + <td> </td> | ||
| 86 | + <td width="525"> </td> | ||
| 87 | +</tr> | ||
| 88 | +<tr> | ||
| 89 | + <td width="50"> </td> | ||
| 90 | + <td colspan="2"><span class="irafpar"><strong>irf | ||
| 91 | + [string]</strong></span></td> | ||
| 92 | +</tr> | ||
| 93 | +<tr> | ||
| 94 | + <td width="50"> </td> | ||
| 95 | + <td width="25"> </td> | ||
| 96 | + <td width="525">Instrumental response function that | ||
| 97 | + should be used for event generation.</td> | ||
| 98 | +</tr> | ||
| 99 | +<tr> | ||
| 100 | + <td width="50"> </td> | ||
| 101 | + <td> </td> | ||
| 102 | + <td width="525"> </td> | ||
| 103 | +</tr> | ||
| 104 | +<tr> | ||
| 105 | + <td width="50"> </td> | ||
| 106 | + <td colspan="2"><span class="irafpar"><strong>outfile | ||
| 107 | + [file]</strong></span></td> | ||
| 108 | +</tr> | ||
| 109 | +<tr> | ||
| 110 | + <td width="50"> </td> | ||
| 111 | + <td width="25"> </td> | ||
| 112 | + <td width="525">Output butterfly file name</td> | ||
| 113 | +</tr> | ||
| 114 | +<tr> | ||
| 115 | + <td width="50"> </td> | ||
| 116 | + <td> </td> | ||
| 117 | + <td width="525"> </td> | ||
| 118 | +</tr> | ||
| 119 | +<tr> | ||
| 120 | + <td width="50"> </td> | ||
| 121 | + <td colspan="2"><span class="irafpar"><strong>(matrix = "NONE") | ||
| 122 | + [file]</strong></span></td> | ||
| 123 | +</tr> | ||
| 124 | +<tr> | ||
| 125 | + <td width="50"> </td> | ||
| 126 | + <td width="25"> </td> | ||
| 127 | + <td width="525">Input covariance matrix file (not used)</td> | ||
| 128 | +</tr> | ||
| 129 | +<tr> | ||
| 130 | + <td width="50"> </td> | ||
| 131 | + <td> </td> | ||
| 132 | + <td width="525"> </td> | ||
| 133 | +</tr> | ||
| 134 | +<td width="50"> </td> | ||
| 135 | +<td colspan="2"><span class="irafpar"><strong>emin | ||
| 136 | + [double]</strong></span></td> | ||
| 137 | +</tr> | ||
| 138 | +<tr> | ||
| 139 | + <td width="50"> </td> | ||
| 140 | + <td width="25"> </td> | ||
| 141 | + <td width="525">Minimum energy of butterfly (in | ||
| 142 | + TeV).</td> | ||
| 143 | +</tr> | ||
| 144 | +<tr> | ||
| 145 | + <td width="50"> </td> | ||
| 146 | + <td> </td> | ||
| 147 | + <td width="525"> </td> | ||
| 148 | +</tr> | ||
| 149 | +<tr> | ||
| 150 | + <td width="50"> </td> | ||
| 151 | + <td colspan="2"><span class="irafpar"><strong>emax | ||
| 152 | + [double]</strong></span></td> | ||
| 153 | +</tr> | ||
| 154 | +<tr> | ||
| 155 | + <td width="50"> </td> | ||
| 156 | + <td width="25"> </td> | ||
| 157 | + <td width="525">Maximum energy of butterfly (in | ||
| 158 | + TeV).</td> | ||
| 159 | +</tr> | ||
| 160 | +<tr> | ||
| 161 | + <td width="50"> </td> | ||
| 162 | + <td> </td> | ||
| 163 | + <td width="525"> </td> | ||
| 164 | +</tr> | ||
| 165 | +<tr> | ||
| 166 | + <td width="50"> </td> | ||
| 167 | + <td colspan="2"><span class="irafpar"><strong>(ebinalg | ||
| 168 | + = "LOG") <FILE|LIN|LOG> | ||
| 169 | + [string]</strong></span></td> | ||
| 170 | +</tr> | ||
| 171 | +<tr> | ||
| 172 | + <td width="50"> </td> | ||
| 173 | + <td width="25"> </td> | ||
| 174 | + <td width="525">Butterfly binning algorithm</td> | ||
| 175 | +</tr> | ||
| 176 | +<tr> | ||
| 177 | + <td width="50"> </td> | ||
| 178 | + <td> </td> | ||
| 179 | + <td width="525"> </td> | ||
| 180 | +</tr> | ||
| 181 | +<tr> | ||
| 182 | + <td width="50"> </td> | ||
| 183 | + <td colspan="2"><span class="irafpar"><strong>(enumbins | ||
| 184 | + = 100) | ||
| 185 | + [string]</strong></span></td> | ||
| 186 | +</tr> | ||
| 187 | +<tr> | ||
| 188 | + <td width="50"> </td> | ||
| 189 | + <td width="25"> </td> | ||
| 190 | + <td width="525">Number of energy bins of butterfly</td> | ||
| 191 | +</tr> | ||
| 192 | +<tr> | ||
| 193 | + <td width="50"> </td> | ||
| 194 | + <td> </td> | ||
| 195 | + <td width="525"> </td> | ||
| 196 | +</tr> | ||
| 197 | +<tr> | ||
| 198 | + <td width="50"> </td> | ||
| 199 | + <td colspan="2"><span class="irafpar"><strong>(ebinfile | ||
| 200 | + = "NONE") | ||
| 201 | + [string]</strong></span></td> | ||
| 202 | +</tr> | ||
| 203 | +<tr> | ||
| 204 | + <td width="50"> </td> | ||
| 205 | + <td width="25"> </td> | ||
| 206 | + <td width="525">File for energy binning algorithm</td> | ||
| 207 | +</tr> | ||
| 208 | +<tr> | ||
| 209 | + <td width="50"> </td> | ||
| 210 | + <td> </td> | ||
| 211 | + <td width="525"> </td> | ||
| 212 | +</tr> | ||
| 213 | +</tbody> | ||
| 214 | +</table> | ||
| 215 | +<p class="Title">Standard parameters</p> | ||
| 216 | +<table id="table1" class="Body" border="0" cellpadding="0" cellspacing="0" width="600"> | ||
| 217 | +<tbody> | ||
| 218 | +<tr> | ||
| 219 | +<td width="50"> </td> | ||
| 220 | +<td colspan="2"><span class="irafpar"><strong>(chatter | ||
| 221 | += 2) [integer]</strong></span></td> | ||
| 222 | +</tr> | ||
| 223 | +<tr> | ||
| 224 | +<td width="50"> </td> | ||
| 225 | +<td width="25"> </td> | ||
| 226 | +<td width="525">Verbosity of the executable:<br> | ||
| 227 | +<code>chatter = 0</code>: no information will be | ||
| 228 | +logged<br> | ||
| 229 | +<code>chatter = 1</code>: only errors will be logged<br> | ||
| 230 | +<code>chatter = 2</code>: errors and actions will be | ||
| 231 | +logged<br> | ||
| 232 | +<code>chatter = 3</code>: report about the task | ||
| 233 | +execution<br> | ||
| 234 | +<code>chatter = 4</code>: detailed report about the | ||
| 235 | +task execution</td> | ||
| 236 | +</tr> | ||
| 237 | +<tr> | ||
| 238 | +<td width="50"> </td> | ||
| 239 | +<td> </td> | ||
| 240 | +<td width="525"> </td> | ||
| 241 | +</tr> | ||
| 242 | +<tr> | ||
| 243 | +<td width="50"> </td> | ||
| 244 | +<td colspan="2"><span class="irafpar"><strong>(clobber | ||
| 245 | += yes) [boolean]</strong></span></td> | ||
| 246 | +</tr> | ||
| 247 | +<tr> | ||
| 248 | +<td width="50"> </td> | ||
| 249 | +<td width="25"> </td> | ||
| 250 | +<td width="525">Specifies whether an existing output | ||
| 251 | +event list should be overwritten.</td> | ||
| 252 | +</tr> | ||
| 253 | +<tr> | ||
| 254 | +<td width="50"> </td> | ||
| 255 | +<td> </td> | ||
| 256 | +<td width="525"> </td> | ||
| 257 | +</tr> | ||
| 258 | +<tr> | ||
| 259 | +<td width="50"> </td> | ||
| 260 | +<td colspan="2"><span class="irafpar"><strong>(debug | ||
| 261 | += no) [boolean]</strong></span></td> | ||
| 262 | +</tr> | ||
| 263 | +<tr> | ||
| 264 | +<td width="50"> </td> | ||
| 265 | +<td width="25"> </td> | ||
| 266 | +<td width="525">Enables debug mode. In debug mode | ||
| 267 | +the executable will dump any log file output in the console.</td> | ||
| 268 | +</tr> | ||
| 269 | +<tr> | ||
| 270 | +<td width="50"> </td> | ||
| 271 | +<td> </td> | ||
| 272 | +<td width="525"> </td> | ||
| 273 | +</tr> | ||
| 274 | +<tr> | ||
| 275 | +<td width="50"> </td> | ||
| 276 | +<td colspan="2"><span class="irafpar"><strong>(mode | ||
| 277 | += ql) [string]</strong></span></td> | ||
| 278 | +</tr> | ||
| 279 | +<tr> | ||
| 280 | +<td width="50"> </td> | ||
| 281 | +<td width="25"> </td> | ||
| 282 | +<td width="525">Mode of automatic parameters.</td> | ||
| 283 | +</tr> | ||
| 284 | +<tr> | ||
| 285 | +<td width="50"> </td> | ||
| 286 | +<td> </td> | ||
| 287 | +<td width="525"> </td> | ||
| 288 | +</tr> | ||
| 289 | +</tbody> | ||
| 290 | +</table> | ||
| 291 | +<br> | ||
| 292 | +<p class="Title">Related FTOOLS</p> | ||
| 293 | +<br> | ||
| 294 | +<hr size="1"> | ||
| 295 | +<p class="Body">Last updated by: Michael | ||
| 296 | +Mayer 30 October | ||
| 297 | +2014 | ||
| 298 | +</p> | ||
| 299 | +<br> | ||
| 300 | +</body></html> | ||
| 0 | \ No newline at end of file | 301 | \ No newline at end of file |
doc/source/tools_reference.rst
| @@ -14,6 +14,7 @@ ctools | @@ -14,6 +14,7 @@ ctools | ||
| 14 | * `ctobssim <fhelp/ctobssim.html>`__ --- Observation simulator. | 14 | * `ctobssim <fhelp/ctobssim.html>`__ --- Observation simulator. |
| 15 | * `ctselect <fhelp/ctselect.html>`__ --- Performs sub-selections of event data which are needed for unbinned maximum likelihood analysis. | 15 | * `ctselect <fhelp/ctselect.html>`__ --- Performs sub-selections of event data which are needed for unbinned maximum likelihood analysis. |
| 16 | * `ctskymap <fhelp/ctskymap.html>`__ --- Computes sky map from CTA data. | 16 | * `ctskymap <fhelp/ctskymap.html>`__ --- Computes sky map from CTA data. |
| 17 | +* `ctbutterfly <fhelp/ctbutterfly.html>`__ --- Computes a butterfly from a spectral model. | ||
| 17 | 18 | ||
| 18 | cscripts | 19 | cscripts |
| 19 | -------- | 20 | -------- |
doc/source/user_manual/getting_started/butterfly.jpg
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58.9 KB
doc/source/user_manual/getting_started/quickstart.rst
| @@ -19,6 +19,8 @@ The example consists of the following analysis steps: | @@ -19,6 +19,8 @@ The example consists of the following analysis steps: | ||
| 19 | 19 | ||
| 20 | - :ref:`sec_unbinned_cta` | 20 | - :ref:`sec_unbinned_cta` |
| 21 | 21 | ||
| 22 | +- :ref:`sec_butterfly_cta` | ||
| 23 | + | ||
| 22 | 24 | ||
| 23 | .. _sec_simulating_cta: | 25 | .. _sec_simulating_cta: |
| 24 | 26 | ||
| @@ -638,3 +640,64 @@ the same events for both analyses. | @@ -638,3 +640,64 @@ the same events for both analyses. | ||
| 638 | 2014-01-09T21:47:54: +==============+ | 640 | 2014-01-09T21:47:54: +==============+ |
| 639 | 2014-01-09T21:47:54: | 641 | 2014-01-09T21:47:54: |
| 640 | 2014-01-09T21:47:54: Application "ctlike" terminated after 6 wall clock seconds, consuming 0.163384 seconds of CPU time. | 642 | 2014-01-09T21:47:54: Application "ctlike" terminated after 6 wall clock seconds, consuming 0.163384 seconds of CPU time. |
| 643 | + | ||
| 644 | + | ||
| 645 | + .. _sec_butterfly_cta: | ||
| 646 | + | ||
| 647 | +Calculate and visualise butterfly | ||
| 648 | +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
| 649 | + | ||
| 650 | +To visualise the analysis results retrieved above, one can calculate the | ||
| 651 | +confidence band of the spectral fit. The tool ctbutterfly takes the optimised | ||
| 652 | +source model as input. It takes the covariance matrix from the fit to conduct a | ||
| 653 | +Gaussian error propagation for each energy value. It will write the | ||
| 654 | +butterfly information into an ASCII file. | ||
| 655 | +The following example shows how to compute such a butterfly from the command | ||
| 656 | +line. | ||
| 657 | + | ||
| 658 | +.. code-block:: bash | ||
| 659 | + | ||
| 660 | + $ ctbutterfly | ||
| 661 | + Input event list, cube or observation definition file [$CTOOLS/test/data/crab_events.fits.gz] | ||
| 662 | + Calibration database [share/caldb/data/cta/dummy//cta_dummy_irf] share/caldb/data/cta/dummy/bcf/ | ||
| 663 | + Instrument response function [cta_dummy_irf] | ||
| 664 | + Source model [$CTOOLS/test/data/crab.xml] | ||
| 665 | + Source of interest [CrabNebula] Crab | ||
| 666 | + Start value for first energy bin in TeV [0.1] | ||
| 667 | + Stop value for last energy bin in TeV [100.] | ||
| 668 | + Output ascii file [butterfly.txt] | ||
| 669 | + | ||
| 670 | +Below some lines of the ``ctbutterfly.log``: | ||
| 671 | + | ||
| 672 | +.. code-block:: xml | ||
| 673 | + | ||
| 674 | + 2014-10-30T17:51:39: +===========================+ | ||
| 675 | + 2014-10-30T17:51:39: | Compute covariance matrix | | ||
| 676 | + 2014-10-30T17:51:39: +===========================+ | ||
| 677 | + 2014-10-30T17:51:39: | ||
| 678 | + 2014-10-30T17:51:39: +====================+ | ||
| 679 | + 2014-10-30T17:51:39: | Generate butterfly | | ||
| 680 | + 2014-10-30T17:51:39: +====================+ | ||
| 681 | + 2014-10-30T17:51:39: | ||
| 682 | + 2014-10-30T17:51:39: +========================+ | ||
| 683 | + 2014-10-30T17:51:39: | Save Butterfly to file | | ||
| 684 | + 2014-10-30T17:51:39: +========================+ | ||
| 685 | + 2014-10-30T17:51:39: | ||
| 686 | + 2014-10-30T17:51:39: Application "ctbutterfly" terminated after 15 wall clock seconds, consuming 0.051253 seconds of CPU time. | ||
| 687 | + | ||
| 688 | +Now that you have computed the confidence band of the spectral fit and | ||
| 689 | +that you will have an ASCII file named ``butterfly.txt'' on disk you can | ||
| 690 | +visualise the butterfly using the script ``show_butterfly.py'' that is | ||
| 691 | +in the ctools ``example'' folder. You will need matplotlib on your system | ||
| 692 | +to make this work. To launch the script, type: | ||
| 693 | + | ||
| 694 | +.. code-block:: bash | ||
| 695 | + python $CTOOLS/examples/python/show_butterfly.py butterfly.txt | ||
| 696 | + | ||
| 697 | +This will result in a canvas which should look like the following: | ||
| 698 | + | ||
| 699 | +.. figure:: butterfly.jpg | ||
| 700 | + :width: 60% | ||
| 701 | + | ||
| 702 | + *Confidence band of the fit* | ||
| 703 | + | ||
| 641 | \ No newline at end of file | 704 | \ No newline at end of file |
examples/Makefile.am
| @@ -7,7 +7,8 @@ scripts = README \ | @@ -7,7 +7,8 @@ scripts = README \ | ||
| 7 | make_ts_distributions.py \ | 7 | make_ts_distributions.py \ |
| 8 | make_unbinned_analysis.py \ | 8 | make_unbinned_analysis.py \ |
| 9 | show_pull_histogram.py \ | 9 | show_pull_histogram.py \ |
| 10 | - show_ts_distribution.py | 10 | + show_ts_distribution.py \ |
| 11 | + show_butterfly | ||
| 11 | 12 | ||
| 12 | # Set directories | 13 | # Set directories |
| 13 | scriptsdir = $(datadir)/examples/python | 14 | scriptsdir = $(datadir)/examples/python |
examples/show_butterfly.py
0 → 100644
| 1 | +#! /usr/bin/env python | ||
| 2 | +# ========================================================================== | ||
| 3 | +# This script shows how to plot a butterfly created with ctbutterfly | ||
| 4 | +# | ||
| 5 | +# Copyright (C) 2014 Michael Mayer | ||
| 6 | +# | ||
| 7 | +# This program is free software: you can redistribute it and/or modify | ||
| 8 | +# it under the terms of the GNU General Public License as published by | ||
| 9 | +# the Free Software Foundation, either version 3 of the License, or | ||
| 10 | +# (at your option) any later version. | ||
| 11 | +# | ||
| 12 | +# This program is distributed in the hope that it will be useful, | ||
| 13 | +# but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 14 | +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
| 15 | +# GNU General Public License for more details. | ||
| 16 | +# | ||
| 17 | +# You should have received a copy of the GNU General Public License | ||
| 18 | +# along with this program. If not, see <http://www.gnu.org/licenses/>. | ||
| 19 | +# | ||
| 20 | +# ========================================================================== | ||
| 21 | + | ||
| 22 | +import gammalib | ||
| 23 | +import sys | ||
| 24 | +try: | ||
| 25 | + import matplotlib.pyplot as plt | ||
| 26 | +except: | ||
| 27 | + sys.exit("This script needs matplotlib") | ||
| 28 | + | ||
| 29 | +# =============== # | ||
| 30 | +# Script entry # | ||
| 31 | +# =============== # | ||
| 32 | +if __name__ == "__main__": | ||
| 33 | + | ||
| 34 | + # check for given butterfly file | ||
| 35 | + if not len(sys.argv) == 2: | ||
| 36 | + sys.exit("Usage: show_butterfly.py butterfly.txt") | ||
| 37 | + | ||
| 38 | + # Read given butterfly file | ||
| 39 | + filename = sys.argv[1] | ||
| 40 | + csv = gammalib.GCsv(filename) | ||
| 41 | + | ||
| 42 | + # initialise arrays to be filled | ||
| 43 | + butterfly_x = [] | ||
| 44 | + butterfly_y = [] | ||
| 45 | + | ||
| 46 | + line_x = [] | ||
| 47 | + line_y = [] | ||
| 48 | + | ||
| 49 | + # loop over rows of the file | ||
| 50 | + nrows = csv.nrows() | ||
| 51 | + for row in range(nrows): | ||
| 52 | + # Compute upper edge of confidence band | ||
| 53 | + butterfly_x.append(csv.real(row,0)) | ||
| 54 | + butterfly_y.append(csv.real(row,1)+csv.real(row,2)) | ||
| 55 | + | ||
| 56 | + # Set line values | ||
| 57 | + line_x.append(csv.real(row,0)) | ||
| 58 | + line_y.append(csv.real(row,1)) | ||
| 59 | + | ||
| 60 | + # Loop over the rows backwards to compute the lower edge | ||
| 61 | + # of the confidence band | ||
| 62 | + for row in range(nrows): | ||
| 63 | + index = nrows - 1 - row | ||
| 64 | + | ||
| 65 | + butterfly_x.append(csv.real(index,0)) | ||
| 66 | + butterfly_y.append(csv.real(index,1)-csv.real(index,2)) | ||
| 67 | + | ||
| 68 | + # plot the butterfly and spectral line | ||
| 69 | + plt.figure() | ||
| 70 | + plt.loglog() | ||
| 71 | + plt.grid() | ||
| 72 | + plt.plot(line_x,line_y,color='black',ls='-') | ||
| 73 | + plt.fill(butterfly_x,butterfly_y,color='green',alpha=0.5) | ||
| 74 | + plt.xlabel("Energy [MeV]") | ||
| 75 | + plt.ylabel(r"dN/dE [MeV$^{-1}$ s$^{-1}$ cm$^{-2}$]") | ||
| 76 | + plt.show() | ||
| 0 | \ No newline at end of file | 77 | \ No newline at end of file |