{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced Spectrum List Patterns and Workarounds\n", "\n", "`muler` is built on specutils, which has many spectrum list operations, but not everything we'd ideally want. In this notebook, we introduce a few workarounds to deal with common patterns." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%config Completer.use_jedi = False" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from muler.igrins import IGRINSSpectrum, IGRINSSpectrumList\n", "from specutils import Spectrum1D, SpectrumList\n", "import numpy as np\n", "import matplotlib.pyplot as pltf\n", "import astropy.units as u\n", "%matplotlib inline\n", "%config InlineBackend.figure_format='retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simply tell the IGRINS Spectrum where your file is located." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "path = 'https://github.com/OttoStruve/muler_example_data/raw/main/IGRINS/01_IGRINS_test_data/'\n", "filename1='SDCH_20201202_0059.spec_a0v.fits'\n", "full_path = path + filename1" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "ename": "Exception", "evalue": "Neither .variance.fits or .sn.fits exists in the same path as the spectrum file to get the uncertainity. Please provide one of these files in the same directory as your spectrum file.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mException\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[3], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m spec_list \u001b[38;5;241m=\u001b[39m \u001b[43mIGRINSSpectrumList\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mread\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfull_path\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241m.\u001b[39mnormalize()\n", "File \u001b[0;32m~/anaconda3/lib/python3.10/muler/igrins.py:434\u001b[0m, in \u001b[0;36mIGRINSSpectrumList.read\u001b[0;34m(file, precache_hdus, wavefile)\u001b[0m\n\u001b[1;32m 432\u001b[0m hdus \u001b[38;5;241m=\u001b[39m fits\u001b[38;5;241m.\u001b[39mopen(file, memmap\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m)\n\u001b[1;32m 433\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrtell\u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m file: \u001b[38;5;66;03m#Default, if no rtell file is used\u001b[39;00m\n\u001b[0;32m--> 434\u001b[0m uncertainty_filepath \u001b[38;5;241m=\u001b[39m \u001b[43mgetUncertainityFilepath\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 435\u001b[0m uncertainity_hdus \u001b[38;5;241m=\u001b[39m fits\u001b[38;5;241m.\u001b[39mopen(uncertainty_filepath, memmap\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m) \n\u001b[1;32m 436\u001b[0m cached_hdus \u001b[38;5;241m=\u001b[39m [hdus, uncertainity_hdus] \n", "File \u001b[0;32m~/anaconda3/lib/python3.10/muler/igrins.py:84\u001b[0m, in \u001b[0;36mgetUncertainityFilepath\u001b[0;34m(filepath)\u001b[0m\n\u001b[1;32m 82\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m path_base \u001b[38;5;241m+\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124m.sn.fits\u001b[39m\u001b[38;5;124m'\u001b[39m\n\u001b[1;32m 83\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m---> 84\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mException\u001b[39;00m(\n\u001b[1;32m 85\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mNeither .variance.fits or .sn.fits exists in the same path as the spectrum file to get the uncertainity. Please provide one of these files in the same directory as your spectrum file.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 86\u001b[0m )\n", "\u001b[0;31mException\u001b[0m: Neither .variance.fits or .sn.fits exists in the same path as the spectrum file to get the uncertainity. Please provide one of these files in the same directory as your spectrum file." ] } ], "source": [ "spec_list = IGRINSSpectrumList.read(full_path).normalize()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'spec_list' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mspec_list\u001b[49m\u001b[38;5;241m.\u001b[39mremove_nans()\u001b[38;5;241m.\u001b[39mtrim_edges()\u001b[38;5;241m.\u001b[39mnormalize(order_index\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m15\u001b[39m)\u001b[38;5;241m.\u001b[39mplot(color\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, ylo\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m, yhi\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1.5\u001b[39m);\n", "\u001b[0;31mNameError\u001b[0m: name 'spec_list' is not defined" ] } ], "source": [ "spec_list.remove_nans().trim_edges().normalize(order_index=15).plot(color=None, ylo=0, yhi=1.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Unifying H and K bands into a single `IGRINSSpectrumList`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "filename2 = 'SDCK_20201202_0059.spec_a0v.fits'\n", "spec_list2 = IGRINSSpectrumList.read(path+filename2).normalize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `extend()` method works **in-place**, overriding the first argument! We have to copy the `spec_list` if we want to keep it pristine:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import copy" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "full_H_and_K_spectrum = copy.deepcopy(spec_list)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "full_H_and_K_spectrum.extend(spec_list2)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(28, 26, 54)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(spec_list), len(spec_list2), len(full_H_and_K_spectrum)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 268, "width": 1452 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "full_H_and_K_spectrum.remove_nans().trim_edges().flatten().plot(color=None, ylo=0.8, yhi=1.2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Workarounds\n", "\n", "Here we introduce workarounds to three friction points.\n", "\n", "\n", "### Issue 1: Slicing a `IGRINSSpectrumList`\n", "\n", "First, we want to be able to index into the `IGRINSSpectrumList` in the same way you would with a regular old Python List, and still *get back* an `IGRINSSpectrumList`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "muler.igrins.IGRINSSpectrumList" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(spec_list)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "sublist = spec_list[4:7]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "list" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(sublist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No! We want this sublist to be an `IGRINSSpectrumList`" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "sublist_IGRINS = IGRINSSpectrumList(sublist)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "muler.igrins.IGRINSSpectrumList" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(sublist_IGRINS)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yay! This workaround achieved our goal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Issue 2: Create an `IGRINSSpectrum` from a bare (`flux`, `wavelength`) array\n", "\n", "Often we have already preprocessed a spectrum and have it in-hand as a pair of wavelength coordinates and flux values. We wish to turn this most elemental format of a spectrum into a `IGRINSSpectrum`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "import astropy.units as u" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "whole_spectrum = spec_list.remove_nans().trim_edges().normalize().stitch()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "39651" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(whole_spectrum.flux.value)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "wavelength = whole_spectrum.wavelength.value\n", "flux = whole_spectrum.flux.value" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we \"round-trip\" this pair of coordinates and flux values back into an `IGRINSSpectrum`?" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "roundtrip_spec = IGRINSSpectrum(spectral_axis=wavelength*u.Angstrom, \n", " flux=flux*u.dimensionless_unscaled, )" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "muler.igrins.IGRINSSpectrum" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(roundtrip_spec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some methods will work out-of-the-box:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ ", spectral_axis=)>" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "roundtrip_spec.normalize() # works fine!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But others do not!" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "output = whole_spectrum.barycentric_correct() # works fine!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Watch out! This next line will not work!" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "force = False\n", "\n", "if force:\n", " roundtrip_spec.barycentric_correct() # Oops! Will not work!" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }