{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The pyshtools class interface\n", "\n", "*pyshtools* defines three major classes that simplify access to the underlying SHTOOLS functions:\n", "\n", "* **SHCoeffs:** Spherical harmonic coefficients\n", "* **SHGrid:** Gridded data on the sphere\n", "* **SHWindows:** Multitaper windowing functions\n", "\n", "The underlying data are stored in internal subclasses in different formats (such as kind = 'real' or 'complex' and grid = 'DH' or 'GLQ'). In this tutorial, we will demonstrate several aspects related to the SHCoeffs and SHGrid classes." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import print_function # only necessary if using Python 2.x\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pyshtools" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "pyshtools.utils.figstyle(rel_width=0.75)\n", "%config InlineBackend.figure_format = 'retina' # if you are not using a retina display, comment this line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot a single spherical harmonic function\n", "\n", "The spherical harmonic coefficient class SHCoeffs can be initialized directly from a *numpy* array that holds the spherical harmonic coefficient data. Spherical harmonic coefficients are stored as a *numpy* array of dimension (2, lmax+1, lmax+1), where the first column corresponds to the cosine [0] and sine [1] components, the second column\n", "corresponds to the spherical harmonic degree l, and the third column corresponds to the angular order m. We will first create a *numpy* array of coefficients that are equal to zero, with the exception of the l=5, m=2 harmonic." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "lmax = 200\n", "coeffs = np.zeros((2, lmax+1, lmax+1))\n", "coeffs[0, 5, 2] = 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To initialize a new class instance, we make use of the constructor method from_array():" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "coeffs_l5m2 = pyshtools.SHCoeffs.from_array(coeffs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When initializing a new class instance, the default is to assume that the input coefficients are 4$\\pi$ normalized excluding the Condon-Shortley phase. This normalization convention can be overridden by setting the optional parameter normalization, which takes values of '4pi', 'ortho', 'schmidt', or 'unnorm', along with the parameter csphase, which can be 1 (to exclude the Condon-Shortley phase) or -1 (to include it). The SHCoeffs class contains many methods, and here we use plot_spectrum() to plot the power spectrum: " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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