Commit f8f5bf0c86be20b332f10b408aa893e34348dca3
1 parent
86da4f6c
Add shell model visualization.
Showing
1 changed file
with
132 additions
and
0 deletions
inst/cta/test/test_shell.py
0 → 100755
| 1 | +#! /usr/bin/env python | |
| 2 | +# ========================================================================== | |
| 3 | +# This script shows the shell model radial distribution. | |
| 4 | +# | |
| 5 | +# Copyright (C) 2014 Juergen Knoedlseder | |
| 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 | +import gammalib | |
| 22 | +import math | |
| 23 | +# Check if matplotlib is available | |
| 24 | +try: | |
| 25 | + import matplotlib.pyplot as plt | |
| 26 | + has_matplotlib = True | |
| 27 | +except ImportError: | |
| 28 | + print("Matplotlib is not (correctly) installed on your system.") | |
| 29 | + has_matplotlib = False | |
| 30 | + | |
| 31 | + | |
| 32 | +# ================ # | |
| 33 | +# Compute function # | |
| 34 | +# ================ # | |
| 35 | +def function(theta, radius=0.30, width=0.10): | |
| 36 | + """ | |
| 37 | + """ | |
| 38 | + # Initialise | |
| 39 | + value = 0.0 | |
| 40 | + sin_theta = math.sin(theta*gammalib.deg2rad) | |
| 41 | + sin_theta2 = sin_theta*sin_theta | |
| 42 | + sin_theta_in = math.sin(radius*gammalib.deg2rad) | |
| 43 | + sin_theta2_in = sin_theta_in*sin_theta_in | |
| 44 | + sin_theta_out = math.sin((radius+width)*gammalib.deg2rad) | |
| 45 | + sin_theta2_out = sin_theta_out*sin_theta_out | |
| 46 | + | |
| 47 | + # Compute function value | |
| 48 | + if (sin_theta2 < sin_theta2_out): | |
| 49 | + value = math.sqrt(sin_theta2_out - sin_theta2) | |
| 50 | + if (sin_theta2 < sin_theta2_in): | |
| 51 | + value -= math.sqrt(sin_theta2_in - sin_theta2) | |
| 52 | + | |
| 53 | + # Return value | |
| 54 | + return value | |
| 55 | + | |
| 56 | + | |
| 57 | +# ============= # | |
| 58 | +# Show function # | |
| 59 | +# ============= # | |
| 60 | +def show(theta_max=0.5, theta_bins=100): | |
| 61 | + """ | |
| 62 | + """ | |
| 63 | + | |
| 64 | + # Continue only if matplotlib is available | |
| 65 | + if has_matplotlib: | |
| 66 | + | |
| 67 | + # Create figure | |
| 68 | + plt.figure(1) | |
| 69 | + plt.title("Shell function") | |
| 70 | + | |
| 71 | + # Create theta axis | |
| 72 | + theta = [] | |
| 73 | + dtheta = theta_max/theta_bins | |
| 74 | + for i in range(theta_bins): | |
| 75 | + theta.append((i)*dtheta) | |
| 76 | + | |
| 77 | + # Get function | |
| 78 | + value = [] | |
| 79 | + for i in range(theta_bins): | |
| 80 | + value.append(function(theta[i])) | |
| 81 | + | |
| 82 | + # Plot function | |
| 83 | + plt.plot(theta, value, 'r-') | |
| 84 | + | |
| 85 | + # Set axes | |
| 86 | + plt.xlabel("Theta angle (degrees)") | |
| 87 | + plt.ylabel("Function") | |
| 88 | + | |
| 89 | + # Create figure | |
| 90 | + plt.figure(2) | |
| 91 | + plt.title("MC function") | |
| 92 | + | |
| 93 | + # Get functions | |
| 94 | + value = [] | |
| 95 | + envelope = [] | |
| 96 | + for i in range(theta_bins): | |
| 97 | + value.append(function(theta[i])*math.sin(theta[i]*gammalib.deg2rad)) | |
| 98 | + envelope.append(math.sin(0.4*gammalib.deg2rad)*math.sin(0.4*gammalib.deg2rad)) | |
| 99 | + | |
| 100 | + # Plot function | |
| 101 | + plt.plot(theta, value, 'r-') | |
| 102 | + plt.plot(theta, envelope, 'b-') | |
| 103 | + | |
| 104 | + # Set axes | |
| 105 | + plt.xlabel("Theta angle (degrees)") | |
| 106 | + plt.ylabel("Function*sin(theta)") | |
| 107 | + | |
| 108 | + # Notify | |
| 109 | + print("PLEASE CLOSE WINDOW TO CONTINUE ...") | |
| 110 | + | |
| 111 | + # Show plot | |
| 112 | + plt.show() | |
| 113 | + | |
| 114 | + # Return | |
| 115 | + return | |
| 116 | + | |
| 117 | + | |
| 118 | +#==========================# | |
| 119 | +# Main routine entry point # | |
| 120 | +#==========================# | |
| 121 | +if __name__ == '__main__': | |
| 122 | + """ | |
| 123 | + Show Shell function profile | |
| 124 | + """ | |
| 125 | + # Dump header | |
| 126 | + print("") | |
| 127 | + print("*******************************") | |
| 128 | + print("* Show Shell function profile *") | |
| 129 | + print("*******************************") | |
| 130 | + | |
| 131 | + # Show | |
| 132 | + show() | ... | ... |