{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# HEALPix in Megapixels\n", "\n", "How many megapixels is a HEALPix map?" ], "id": "1db0147e-279b-4989-8af0-ba92387ae49e" }, { "cell_type": "code", "execution_count": 1, "metadata": { "outputId": "3c7f621d-dd7f-41b2-c1a9-f83f6ddffdc2" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Collecting healpy\n", " Downloading healpy-1.16.6-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (24.5 MB)\n", " ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 24.5/24.5 MB 16.1 MB/s eta 0:00:00\n", "Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (from healpy) (3.7.1)\n", "Requirement already satisfied: numpy>=1.19 in /usr/local/lib/python3.10/dist-packages (from healpy) (1.25.2)\n", "Requirement already satisfied: astropy in /usr/local/lib/python3.10/dist-packages (from healpy) (5.3.4)\n", "Requirement already satisfied: scipy in /usr/local/lib/python3.10/dist-packages (from healpy) (1.11.4)\n", "Requirement already satisfied: pyerfa>=2.0 in /usr/local/lib/python3.10/dist-packages (from astropy->healpy) (2.0.1.4)\n", "Requirement already satisfied: PyYAML>=3.13 in /usr/local/lib/python3.10/dist-packages (from astropy->healpy) (6.0.1)\n", "Requirement already satisfied: packaging>=19.0 in /usr/local/lib/python3.10/dist-packages (from astropy->healpy) (24.0)\n", "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (1.2.1)\n", "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (0.12.1)\n", "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (4.51.0)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (1.4.5)\n", "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (9.4.0)\n", "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (3.1.2)\n", "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib->healpy) (2.8.2)\n", "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib->healpy) (1.16.0)\n", "Installing collected packages: healpy\n", "Successfully installed healpy-1.16.6" ] } ], "source": [ "!pip install healpy" ], "id": "cell-2" }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import healpy as hp" ], "id": "cell-3" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "megapixels = []\n", "for nside_power in range(8, 15):\n", " nside = 2**nside_power\n", " megapixels.append((nside, hp.nside2npix(nside)/1e6))" ], "id": "cell-4" }, { "cell_type": "code", "execution_count": 11, "metadata": { "outputId": "8b97dac5-fd44-48da-8956-3d6c4f479c10" }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "[(256, 0.786432),\n", " (512, 3.145728),\n", " (1024, 12.582912),\n", " (2048, 50.331648),\n", " (4096, 201.326592),\n", " (8192, 805.306368),\n", " (16384, 3221.225472)]" ] } } ], "source": [ "megapixels" ], "id": "cell-5" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3", "language": "python" }, "language_info": { "name": "python" } } }