- {
- “cells”: [
- {
“cell_type”: “markdown”, “id”: “615f67de”, “metadata”: {
- “papermill”: {
“duration”: 0.00828, “end_time”: “2021-08-17T08:15:11.530973”, “exception”: false, “start_time”: “2021-08-17T08:15:11.522693”, “status”: “completed”
}, “tags”: []
}, “source”: [
“# Disk on sphere”
]
}, {
“cell_type”: “code”, “execution_count”: 1, “id”: “ac0bf221”, “metadata”: {
- “execution”: {
“iopub.execute_input”: “2021-08-17T08:15:11.561221Z”, “iopub.status.busy”: “2021-08-17T08:15:11.560203Z”, “iopub.status.idle”: “2021-08-17T08:15:14.549786Z”, “shell.execute_reply”: “2021-08-17T08:15:14.550459Z”
}, “nbsphinx”: “hidden”, “papermill”: {
“duration”: 3.012376, “end_time”: “2021-08-17T08:15:14.550965”, “exception”: false, “start_time”: “2021-08-17T08:15:11.538589”, “status”: “completed”
}, “tags”: []
}, “outputs”: [], “source”: [
“%%capturen”, “n”, “import numpy as npn”, “n”, “import matplotlib.pyplot as pltn”, “n”, “import warningsn”, “warnings.simplefilter("ignore")n”, “n”, “from astromodels.functions.function import _known_functionsn”, “n”, “import healpy as hpn”, “n”, “n”, “from astropy.coordinates import ICRS, Galacticn”, “n”, “n”, “from jupyterthemes import jtplotn”, “jtplot.style(context="talk", fscale=1, ticks=False, grid=False)n”, “%matplotlib inlinen”, “n”, “n”, “n”
]
}, {
“cell_type”: “code”, “execution_count”: 2, “id”: “c5a5d048”, “metadata”: {
- “execution”: {
“iopub.execute_input”: “2021-08-17T08:15:14.571793Z”, “iopub.status.busy”: “2021-08-17T08:15:14.570781Z”, “iopub.status.idle”: “2021-08-17T08:15:14.578451Z”, “shell.execute_reply”: “2021-08-17T08:15:14.579293Z”
}, “nbsphinx”: “hidden”, “papermill”: {
“duration”: 0.021211, “end_time”: “2021-08-17T08:15:14.579625”, “exception”: false, “start_time”: “2021-08-17T08:15:14.558414”, “status”: “completed”
}, “tags”: [
“parameters”
]
}, “outputs”: [], “source”: [
“func_name = "Latitude_galactic_diffuse"n”
]
}, {
“cell_type”: “code”, “execution_count”: 3, “id”: “9485d349”, “metadata”: {
- “execution”: {
“iopub.execute_input”: “2021-08-17T08:15:14.600974Z”, “iopub.status.busy”: “2021-08-17T08:15:14.599897Z”, “iopub.status.idle”: “2021-08-17T08:15:14.604387Z”, “shell.execute_reply”: “2021-08-17T08:15:14.605216Z”
}, “papermill”: {
“duration”: 0.0185, “end_time”: “2021-08-17T08:15:14.605546”, “exception”: false, “start_time”: “2021-08-17T08:15:14.587046”, “status”: “completed”
}, “tags”: [
“injected-parameters”
]
}, “outputs”: [], “source”: [
“# Parametersn”, “func_name = "Disk_on_sphere"n”
]
}, {
“cell_type”: “code”, “execution_count”: 4, “id”: “f31fd156”, “metadata”: {
- “execution”: {
“iopub.execute_input”: “2021-08-17T08:15:14.634985Z”, “iopub.status.busy”: “2021-08-17T08:15:14.633112Z”, “iopub.status.idle”: “2021-08-17T08:15:14.647229Z”, “shell.execute_reply”: “2021-08-17T08:15:14.648043Z”
}, “lines_to_next_cell”: 0, “nbsphinx”: “hidden”, “papermill”: {
“duration”: 0.035499, “end_time”: “2021-08-17T08:15:14.648369”, “exception”: false, “start_time”: “2021-08-17T08:15:14.612870”, “status”: “completed”
}, “tags”: []
}, “outputs”: [], “source”: [
“func = _known_functions[func_name]()n”, “n”, “NSIDE = 2**7n”, “NPIX = hp.nside2npix(NSIDE)n”, “n”, “ra, dec = hp.pix2ang(nside=NSIDE, ipix=np.arange(NPIX), lonlat=True)n”
]
}, {
“cell_type”: “markdown”, “id”: “afe7eab1”, “metadata”: {
“lines_to_next_cell”: 0, “papermill”: {
“duration”: 0.007706, “end_time”: “2021-08-17T08:15:14.663928”, “exception”: false, “start_time”: “2021-08-17T08:15:14.656222”, “status”: “completed”
}, “tags”: []
}, “source”: [
“## Description”
]
}, {
“cell_type”: “code”, “execution_count”: 5, “id”: “97a5eaf3”, “metadata”: {
- “execution”: {
“iopub.execute_input”: “2021-08-17T08:15:14.693791Z”, “iopub.status.busy”: “2021-08-17T08:15:14.692175Z”, “iopub.status.idle”: “2021-08-17T08:15:14.699865Z”, “shell.execute_reply”: “2021-08-17T08:15:14.700664Z”
}, “papermill”: {
“duration”: 0.028599, “end_time”: “2021-08-17T08:15:14.700991”, “exception”: false, “start_time”: “2021-08-17T08:15:14.672392”, “status”: “completed”
}, “tags”: []
}, “outputs”: [
- {
- “data”: {
- “text/html”: [
“<ul>n”, “n”, “<li>description: A bidimensional disk/tophat function on a sphere (in spherical coordinates)</li>n”, “n”, “<li>formula: $$ f(\vec{x}) = \left(\frac{180}{\pi}\right)^2 \frac{1}{\pi~({\rm radius})^2} ~\left\{\begin{matrix} 1 & {\rm if}& {\rm | \vec{x} - \vec{x}_0| \le {\rm radius}} \\ 0 & {\rm if}& {\rm | \vec{x} - \vec{x}_0| > {\rm radius}} \end{matrix}\right. $$</li>n”, “n”, “<li>parameters: n”, “<ul>n”, “n”, “<li>lon0: n”, “<ul>n”, “n”, “<li>value: 0.0</li>n”, “n”, “<li>desc: Longitude of the center of the source</li>n”, “n”, “<li>min_value: 0.0</li>n”, “n”, “<li>max_value: 360.0</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 0.1</li>n”, “n”, “<li>free: True</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “<li>lat0: n”, “<ul>n”, “n”, “<li>value: 0.0</li>n”, “n”, “<li>desc: Latitude of the center of the source</li>n”, “n”, “<li>min_value: -90.0</li>n”, “n”, “<li>max_value: 90.0</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 0.1</li>n”, “n”, “<li>free: True</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “<li>radius: n”, “<ul>n”, “n”, “<li>value: 15.0</li>n”, “n”, “<li>desc: Radius of the disk</li>n”, “n”, “<li>min_value: 0.0</li>n”, “n”, “<li>max_value: 20.0</li>n”, “n”, “<li>unit: </li>n”, “n”, “<li>is_normalization: False</li>n”, “n”, “<li>delta: 1.5</li>n”, “n”, “<li>free: True</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “</ul>n”, “n”, “</li>n”, “n”, “</ul>n”
], “text/plain”: [
” * description: A bidimensional disk/tophat function on a sphere (in spherical coordinates)n”, ” * formula: $$ f(\vec{x}) = \left(\frac{180}{\pi}\right)^2 \frac{1}{\pi~({\rm radius})^2}n”, ” * ~\left\{\begin{matrix} 1 & {\rm if}& {\rm | \vec{x} - \vec{x}_0| \le {\rm radius}}n”, ” * \\ 0 & {\rm if}& {\rm | \vec{x} - \vec{x}_0| > {\rm radius}} \end{matrix}\right.n”, ” * $$n”, ” * parameters:n”, ” * lon0:n”, ” * value: 0.0n”, ” * desc: Longitude of the center of the sourcen”, ” * min_value: 0.0n”, ” * max_value: 360.0n”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 0.1n”, ” * free: truen”, ” * lat0:n”, ” * value: 0.0n”, ” * desc: Latitude of the center of the sourcen”, ” * min_value: -90.0n”, ” * max_value: 90.0n”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 0.1n”, ” * free: truen”, ” * radius:n”, ” * value: 15.0n”, ” * desc: Radius of the diskn”, ” * min_value: 0.0n”, ” * max_value: 20.0n”, ” * unit: ‘’n”, ” * is_normalization: falsen”, ” * delta: 1.5n”, ” * free: true”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“func.display()”
]
}, {
“cell_type”: “markdown”, “id”: “d73a8d3c”, “metadata”: {
“lines_to_next_cell”: 0, “papermill”: {
“duration”: 0.008366, “end_time”: “2021-08-17T08:15:14.717767”, “exception”: false, “start_time”: “2021-08-17T08:15:14.709401”, “status”: “completed”
}, “tags”: []
}, “source”: [
“## Shapen”, “n”, “The shape of the function on the sky.”
]
}, {
“cell_type”: “code”, “execution_count”: 6, “id”: “0dc1011c”, “metadata”: {
- “execution”: {
“iopub.execute_input”: “2021-08-17T08:15:14.746036Z”, “iopub.status.busy”: “2021-08-17T08:15:14.744789Z”, “iopub.status.idle”: “2021-08-17T08:15:15.241467Z”, “shell.execute_reply”: “2021-08-17T08:15:15.242259Z”
}, “papermill”: {
“duration”: 0.516377, “end_time”: “2021-08-17T08:15:15.242669”, “exception”: false, “start_time”: “2021-08-17T08:15:14.726292”, “status”: “completed”
}, “tags”: [
“nbsphinx-thumbnail”
]
}, “outputs”: [
- {
“name”: “stderr”, “output_type”: “stream”, “text”: [
“0.0 180.0 -180.0 180.0n”
]
}, {
- “data”: {
“image/png”: “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n”, “text/plain”: [
“<Figure size 612x388.8 with 2 Axes>”
]
}, “metadata”: {
“needs_background”: “light”
}, “output_type”: “display_data”
}
], “source”: [
“n”, “n”, “m=func(ra, dec)n”, “hp.mollview(m, title=func_name, cmap="magma")n”, “hp.graticule(color="grey", lw=2)n”, “n”, “n”
]
}
], “metadata”: {
- “jupytext”: {
“formats”: “ipynb,md”
}, “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”: “3.7.11”
}, “papermill”: {
“default_parameters”: {}, “duration”: 6.524451, “end_time”: “2021-08-17T08:15:16.825022”, “environment_variables”: {}, “exception”: null, “input_path”: “Disk_on_sphere.ipynb”, “output_path”: “../docs/notebooks/Disk_on_sphere.ipynb”, “parameters”: {
“func_name”: “Disk_on_sphere”
}, “start_time”: “2021-08-17T08:15:10.300571”, “version”: “2.3.3”
}
}, “nbformat”: 4, “nbformat_minor”: 5
}