{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Running and Plotting Coeval Cubes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The aim of this tutorial is to introduce you to how `21cmFAST` does the most basic operations: producing single coeval cubes, and visually verifying them. It is a great place to get started with `21cmFAST`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:11.054977Z", "start_time": "2020-02-29T22:10:10.248058Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import os\n", "# We change the default level of the logger so that\n", "# we can see what's happening with caching.\n", "import logging, sys, os\n", "logger = logging.getLogger('21cmFAST')\n", "logger.setLevel(logging.INFO)\n", "\n", "import py21cmfast as p21c\n", "\n", "# For plotting the cubes, we use the plotting submodule:\n", "from py21cmfast import plotting\n", "\n", "# For interacting with the cache\n", "from py21cmfast import cache_tools\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:11.059890Z", "start_time": "2020-02-29T22:10:11.056796Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using 21cmFAST version 3.0.2\n" ] } ], "source": [ "print(f\"Using 21cmFAST version {p21c.__version__}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clear the cache so that we get the same results for the notebook every time (don't worry about this for now). Also, set the default output directory to `_cache/`:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:11.367976Z", "start_time": "2020-02-29T22:10:11.062517Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-10-02 09:51:10,651 | INFO | Removed 0 files from cache.\n" ] } ], "source": [ "if not os.path.exists('_cache'):\n", " os.mkdir('_cache')\n", " \n", "p21c.config['direc'] = '_cache'\n", "cache_tools.clear_cache(direc=\"_cache\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Usage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest (and typically most efficient) way to produce a coeval cube is simply to use the `run_coeval` method. This consistently performs all steps of the calculation, re-using any data that it can without re-computation or increased memory overhead." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:27.413255Z", "start_time": "2020-02-29T22:10:11.369635Z" } }, "outputs": [], "source": [ "coeval8, coeval9, coeval10 = p21c.run_coeval(\n", " redshift = [8.0, 9.0, 10.0],\n", " user_params = {\"HII_DIM\": 100, \"BOX_LEN\": 100, \"USE_INTERPOLATION_TABLES\": True},\n", " cosmo_params = p21c.CosmoParams(SIGMA_8=0.8),\n", " astro_params = p21c.AstroParams({\"HII_EFF_FACTOR\":20.0}),\n", " random_seed=12345\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a number of possible inputs for `run_coeval`, which you can check out either in the [API reference](../reference/py21cmfast.html) or by calling `help(p21c.run_coeval)`. Notably, the `redshift` must be given: it can be a single number, or a list of numbers, defining the redshift at which the output coeval cubes will be defined. \n", "\n", "Other params we've given here are `user_params`, `cosmo_params` and `astro_params`. These are all used for defining input parameters into the backend C code (there's also another possible input of this kind; `flag_options`). These can be given either as a dictionary (as `user_params` has been), or directly as a relevant object (like `cosmo_params` and `astro_params`). If creating the object directly, the parameters can be passed individually or via a single dictionary. So there's a lot of flexibility there! Nevertheless we *encourage* you to use the basic dictionary. The other ways of passing the information are there so we can use pre-defined objects later on. For more information about these \"input structs\", see the [API docs](../reference/_autosummary/py21cmfast.inputs.html).\n", "\n", "We've also given a `direc` option: this is the directory in which to search for cached data (and also where cached data should be written). Throughout this notebook we're going to set this directly to the `_cache` folder, which allows us to manage it directly. By default, the cache location is set in the global configuration in `~/.21cmfast/config.yml`. You'll learn more about caching further on in this tutorial. \n", "\n", "Finally, we've given a random seed. This sets all the random phases for the simulation, and ensures that we can exactly reproduce the same results on every run. \n", "\n", "The output of `run_coeval` is a list of `Coeval` instances, one for each input redshift (it's just a single object if a single redshift was passed, not a list). They store *everything* related to that simulation, so that it can be completely compared to other simulations. \n", "\n", "For example, the input parameters:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:27.418017Z", "start_time": "2020-02-29T22:10:27.414590Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Random Seed: 12345\n", "Redshift: 8.0\n", "UserParams(BOX_LEN:100, DIM:300, HII_DIM:100, HMF:1, POWER_SPECTRUM:0, USE_FFTW_WISDOM:False, USE_RELATIVE_VELOCITIES:False)\n" ] } ], "source": [ "print(\"Random Seed: \", coeval8.random_seed)\n", "print(\"Redshift: \", coeval8.redshift)\n", "print(coeval8.user_params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is where the utility of being able to pass a *class instance* for the parameters arises: we could run another iteration of coeval cubes, with the same user parameters, simply by doing `p21c.run_coeval(user_params=coeval8.user_params, ...)`.\n", "\n", "Also in the `Coeval` instance are the various outputs from the different steps of the computation. You'll see more about what these steps are further on in the tutorial. But for now, we show that various boxes are available:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:27.431340Z", "start_time": "2020-02-29T22:10:27.419347Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(300, 300, 300)\n", "(100, 100, 100)\n" ] } ], "source": [ "print(coeval8.hires_density.shape)\n", "print(coeval8.brightness_temp.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Along with these, full instances of the output from each step are available as attributes that end with \"struct\". These instances themselves contain the `numpy` arrays of the data cubes, and some other attributes that make them easier to work with:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:27.440514Z", "start_time": "2020-02-29T22:10:27.433056Z" } }, "outputs": [ { "data": { "text/plain": [ "17.622644" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coeval8.brightness_temp_struct.global_Tb" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, each of the components of the cube are cached to disk (in our `_cache/` folder) as we run it. However, the `Coeval` cube itself is _not_ written to disk by default. Writing it to disk incurs some redundancy, since that data probably already exists in the cache directory in seperate files. \n", "\n", "Let's save to disk. The save method by default writes in the current directory (not the cache!):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:27.644169Z", "start_time": "2020-02-29T22:10:27.442997Z" } }, "outputs": [], "source": [ "filename = coeval8.save(direc='_cache')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The filename of the saved file is returned:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:27.652399Z", "start_time": "2020-02-29T22:10:27.647474Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coeval_z8.0_a3c7dea665420ae9c872ba2fab1b3d7d_r12345.h5\n" ] } ], "source": [ "print(os.path.basename(filename))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Such files can be read in:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:28.655553Z", "start_time": "2020-02-29T22:10:27.654557Z" } }, "outputs": [], "source": [ "new_coeval8 = p21c.Coeval.read(filename, direc='.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some convenient plotting functions exist in the `plotting` module. These can work directly on `Coeval` objects, or any of the output structs (as we'll see further on in the tutorial). By default the `coeval_sliceplot` function will plot the `brightness_temp`, using the standard traditional colormap:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:29.863171Z", "start_time": "2020-02-29T22:10:28.657079Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,3, figsize=(14,4))\n", "for i, (coeval, redshift) in enumerate(zip([coeval8, coeval9, coeval10], [8,9,10])):\n", " plotting.coeval_sliceplot(coeval, ax=ax[i], fig=fig);\n", " plt.title(\"z = %s\"%redshift)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any 3D field can be plotted, by setting the `kind` argument. For example, we could alternatively have plotted the dark matter density cubes perturbed to each redshift:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:30.842329Z", "start_time": "2020-02-29T22:10:29.864621Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,3, figsize=(14,4))\n", "for i, (coeval, redshift) in enumerate(zip([coeval8, coeval9, coeval10], [8,9,10])):\n", " plotting.coeval_sliceplot(coeval, kind='density', ax=ax[i], fig=fig);\n", " plt.title(\"z = %s\"%redshift)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see more options for the plotting routines, see the [API Documentation](../reference/_autosummary/py21cmfast.plotting.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Coeval` instances are not cached themselves -- they are containers for data that is itself cached (i.e. each of the `_struct` attributes of `Coeval`). See the [api docs](../reference/_autosummary/py21cmfast.outputs.html) for more detailed information on these. \n", "\n", "You can see the filename of each of these structs (or the filename it would have if it were cached -- you can opt to *not* write out any given dataset):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:30.849484Z", "start_time": "2020-02-29T22:10:30.844024Z" } }, "outputs": [ { "data": { "text/plain": [ "'InitialConditions_6f0eb48c62c36acef23416d5d0fbcf3b_r12345.h5'" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coeval8.init_struct.filename" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also write the struct anywhere you'd like on the filesystem. This will not be able to be automatically used as a cache, but it could be useful for sharing files with colleagues." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:31.199972Z", "start_time": "2020-02-29T22:10:30.851552Z" } }, "outputs": [], "source": [ "coeval8.init_struct.save(fname='my_init_struct.h5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This brief example covers most of the basic usage of `21cmFAST` (at least with `Coeval` objects -- there are also `Lightcone` objects for which there is a separate tutorial). \n", "\n", "For the rest of the tutorial, we'll cover a more advanced usage, in which each step of the calculation is done independently." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced Step-by-Step Usage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most users most of the time will want to use the high-level `run_coeval` function from the previous section. However, there are several independent steps when computing the brightness temperature field, and these can be performed one-by-one, adding any other effects between them if desired. This means that the new `21cmFAST` is much more flexible. In this section, we'll go through in more detail how to use the lower-level methods.\n", "\n", "Each step in the chain will receive a number of input-parameter classes which define how the calculation should run. These are the `user_params`, `cosmo_params`, `astro_params` and `flag_options` that we saw in the previous section.\n", "\n", "Conversely, each step is performed by running a function which will return a single object. Every major function returns an object of the same fundamental class (an ``OutputStruct``) which has various methods for reading/writing the data, and ensuring that it's in the right state to receive/pass to and from C.\n", "These are the objects stored as `init_box_struct` etc. in the `Coeval` class.\n", "\n", "As we move through each step, we'll outline some extra details, hints and tips about using these inputs and outputs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Initial Conditions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step is to get the initial conditions, which defines the *cosmological* density field before any redshift evolution is applied." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:41.882249Z", "start_time": "2020-02-29T22:10:31.202726Z" } }, "outputs": [], "source": [ "initial_conditions = p21c.initial_conditions(\n", " user_params = {\"HII_DIM\": 100, \"BOX_LEN\": 100},\n", " cosmo_params = p21c.CosmoParams(SIGMA_8=0.8),\n", " random_seed=54321\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've already come across all these parameters as inputs to the `run_coeval` function. Indeed, most of the steps have very similar interfaces, and are able to take a random seed and parameters for where to look for the cache. We use a different seed than in the previous section so that all our boxes are \"fresh\" (we'll show how the caching works in a later section).\n", "\n", "These initial conditions have 100 cells per side, and a box length of 100 Mpc. Note again that they can either be passed as a dictionary containing the input parameters, or an actual instance of the class. While the former is the suggested way, one benefit of the latter is that it can be queried for the relevant parameters (by using ``help`` or a post-fixed ``?``), or even queried for defaults:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:41.887141Z", "start_time": "2020-02-29T22:10:41.883585Z" } }, "outputs": [ { "data": { "text/plain": [ "{'SIGMA_8': 0.8102,\n", " 'hlittle': 0.6766,\n", " 'OMm': 0.30964144154550644,\n", " 'OMb': 0.04897468161869667,\n", " 'POWER_INDEX': 0.9665}" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p21c.CosmoParams._defaults_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(these defaults correspond to the Planck15 cosmology contained in Astropy)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So what is in the ``initial_conditions`` object? It is what we call an ``OutputStruct``, and we have seen it before, as the `init_box_struct` attribute of `Coeval`. It contains a number of arrays specifying the density and velocity fields of our initial conditions, as well as the defining parameters. For example, we can easily show the cosmology parameters that are used (note the non-default $\\sigma_8$ that we passed):" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:42.368956Z", "start_time": "2020-02-29T22:10:41.888436Z" } }, "outputs": [ { "data": { "text/plain": [ "CosmoParams(OMb:0.04897468161869667, OMm:0.30964144154550644, POWER_INDEX:0.9665, SIGMA_8:0.8, hlittle:0.6766)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conditions.cosmo_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A handy tip is that the ``CosmoParams`` class also has a reference to a corresponding Astropy cosmology, which can be used more broadly:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:42.528736Z", "start_time": "2020-02-29T22:10:42.374015Z" } }, "outputs": [ { "data": { "text/plain": [ "FlatLambdaCDM(name=\"Planck15\", H0=67.7 km / (Mpc s), Om0=0.31, Tcmb0=2.725 K, Neff=3.05, m_nu=[0. 0. 0.06] eV, Ob0=0.049)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conditions.cosmo_params.cosmo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Merely printing the initial conditions object gives a useful representation of its dependent parameters:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:42.821922Z", "start_time": "2020-02-29T22:10:42.535714Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "InitialConditions(UserParams(BOX_LEN:100, DIM:300, HII_DIM:100, HMF:1, POWER_SPECTRUM:0, USE_FFTW_WISDOM:False, USE_RELATIVE_VELOCITIES:False);\n", "\tCosmoParams(OMb:0.04897468161869667, OMm:0.30964144154550644, POWER_INDEX:0.9665, SIGMA_8:0.8, hlittle:0.6766);\n", "\trandom_seed:54321)\n" ] } ], "source": [ "print(initial_conditions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(side-note: the string representation of the object is used to uniquely define it in order to save it to the cache... which we'll explore soon!).\n", "\n", "To see which arrays are defined in the object, access the ``fieldnames`` (this is true for *all* `OutputStruct` objects):" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:42.840338Z", "start_time": "2020-02-29T22:10:42.828276Z" } }, "outputs": [ { "data": { "text/plain": [ "['lowres_density',\n", " 'lowres_vx',\n", " 'lowres_vy',\n", " 'lowres_vz',\n", " 'lowres_vx_2LPT',\n", " 'lowres_vy_2LPT',\n", " 'lowres_vz_2LPT',\n", " 'hires_density',\n", " 'lowres_vcb',\n", " 'hires_vcb']" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conditions.fieldnames" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `coeval_sliceplot` function also works on `OutputStruct` objects (as well as the `Coeval` object as we've already seen). It takes the object, and a specific field name. By default, the field it plots is the _first_ field in `fieldnames` (for any `OutputStruct`)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:43.078040Z", "start_time": "2020-02-29T22:10:42.845666Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.coeval_sliceplot(initial_conditions, \"hires_density\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perturbed Field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After obtaining the initial conditions, we need to *perturb* the field to a given redshift (i.e. the redshift we care about). This step clearly requires the results of the previous step, which we can easily just pass in. Let's do that:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:43.461429Z", "start_time": "2020-02-29T22:10:43.079489Z" } }, "outputs": [], "source": [ "perturbed_field = p21c.perturb_field(\n", " redshift = 8.0,\n", " init_boxes = initial_conditions\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we didn't need to pass in any input parameters, because they are all contained in the `initial_conditions` object itself. The random seed is also taken from this object.\n", "\n", "Again, the output is an `OutputStruct`, so we can view its fields:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:43.467710Z", "start_time": "2020-02-29T22:10:43.464305Z" } }, "outputs": [ { "data": { "text/plain": [ "['density', 'velocity']" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "perturbed_field.fieldnames" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This time, it has only density and velocity (the velocity direction is chosen without loss of generality). Let's view the perturbed density field:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:43.658615Z", "start_time": "2020-02-29T22:10:43.469373Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.coeval_sliceplot(perturbed_field, \"density\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is clear here that the density used is the *low*-res density, but the overall structure of the field looks very similar." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ionization Field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we need to ionize the box. This is where things get a little more tricky. In the simplest case (which, let's be clear, is what we're going to do here) the ionization occurs at the *saturated limit*, which means we can safely ignore the contribution of the spin temperature. This means we can directly calculate the ionization on the density/velocity fields that we already have. A few more parameters are needed here, and so two more \"input parameter dictionaries\" are available, ``astro_params`` and ``flag_options``. Again, a reminder that their parameters can be viewed by using eg. `help(p21c.AstroParams)`, or by looking at the [API docs](../reference/_autosummary/py21cmfast.inputs.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For now, let's leave everything as default. In that case, we can just do:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:44.909517Z", "start_time": "2020-02-29T22:10:43.659834Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-02-29 15:10:43,902 | INFO | Existing init_boxes found and read in (seed=54321).\n" ] } ], "source": [ "ionized_field = p21c.ionize_box(\n", " perturbed_field = perturbed_field\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy! All the information required by ``ionize_box`` was given directly by the ``perturbed_field`` object. If we had _also_ passed a redshift explicitly, this redshift would be checked against that from the ``perturbed_field`` and an error raised if they were incompatible:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see the fieldnames:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:44.914928Z", "start_time": "2020-02-29T22:10:44.911001Z" } }, "outputs": [ { "data": { "text/plain": [ "['first_box', 'xH_box', 'Gamma12_box', 'z_re_box', 'dNrec_box']" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ionized_field.fieldnames" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the ``first_box`` field is actually just a flag to tell the C code whether this has been *evolved* or not. Here, it hasn't been, it's the \"first box\" of an evolutionary chain. Let's plot the neutral fraction:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:45.120787Z", "start_time": "2020-02-29T22:10:44.916354Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.coeval_sliceplot(ionized_field, \"xH_box\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Brightness Temperature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use what we have to get the brightness temperature:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:45.153348Z", "start_time": "2020-02-29T22:10:45.122062Z" } }, "outputs": [], "source": [ "brightness_temp = p21c.brightness_temperature(ionized_box=ionized_field, perturbed_field=perturbed_field)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This has only a single field, ``brightness_temp``:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:45.355868Z", "start_time": "2020-02-29T22:10:45.155043Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.coeval_sliceplot(brightness_temp);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And there you have it -- you've computed each of the four steps (there's actually another, `spin_temperature`, that you require if you don't assume the saturated limit) individually. \n", "\n", "However, some problems quickly arise. What if you want the `perturb_field`, but don't care about the initial conditions? We know how to get the full `Coeval` object in one go, but it would seem that the sub-boxes have to _each_ be computed as the input to the next. \n", "\n", "A perhaps more interesting problem is that some quantities require *evolution*: i.e. a whole bunch of simulations at a string of redshifts must be performed in order to obtain the current redshift. This is true when not in the saturated limit, for example. That means you'd have to manually compute each redshift in turn, and pass it to the computation at the next redshift. While this is definitely possible, it becomes difficult to set up manually when all you care about is the box at the final redshift.\n", "\n", "`py21cmfast` solves this by making each of the functions recursive: if `perturb_field` is not passed the `init_boxes` that it needs, it will go and compute them, based on the parameters that you've passed it. If the previous `spin_temp` box required for the current redshift is not passed -- it will be computed (and if it doesn't have a previous `spin_temp` *it* will be computed, and so on).\n", "\n", "That's all good, but what if you now want to compute another `perturb_field`, with the same fundamental parameters (but at a different redshift)? Since you didn't ever see the `init_boxes`, they'll have to be computed all over again. That's where the automatic caching comes in, which is where we turn now..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using the Automatic Cache" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To solve all this, ``21cmFAST`` uses an on-disk caching mechanism, where all boxes are saved in HDF5 format in a default location. The cache allows for reading in previously-calculated boxes automatically if they match the parameters that are input. The functions used at every step (in the previous section) will try to use a cached box instead of calculating a new one, unless its explicitly asked *not* to. \n", "\n", "Thus, we could do this:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:45.559944Z", "start_time": "2020-02-29T22:10:45.357189Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-02-29 15:10:45,367 | INFO | Existing z=8.0 perturb_field boxes found and read in (seed=12345).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "perturbed_field = p21c.perturb_field(\n", " redshift = 8.0,\n", " user_params = {\"HII_DIM\": 100, \"BOX_LEN\": 100},\n", " cosmo_params = p21c.CosmoParams(SIGMA_8=0.8),\n", ")\n", "plotting.coeval_sliceplot(perturbed_field, \"density\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that here we pass exactly the same parameters as were used in the previous section. It gives a message that the full box was found in the cache and immediately returns. However, if we change the redshift:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:46.331135Z", "start_time": "2020-02-29T22:10:45.561345Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-02-29 15:10:45,748 | INFO | Existing init_boxes found and read in (seed=12345).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "perturbed_field = p21c.perturb_field(\n", " redshift = 7.0,\n", " user_params = {\"HII_DIM\": 100, \"BOX_LEN\": 100},\n", " cosmo_params = p21c.CosmoParams(SIGMA_8=0.8),\n", ")\n", "plotting.coeval_sliceplot(perturbed_field, \"density\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now it finds the initial conditions, but it must compute the perturbed field at the new redshift. If we had changed the initial parameters as well, it would have to calculate everything:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:47.697138Z", "start_time": "2020-02-29T22:10:46.332331Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "perturbed_field = p21c.perturb_field(\n", " redshift = 8.0,\n", " user_params = {\"HII_DIM\": 50, \"BOX_LEN\": 100},\n", " cosmo_params = p21c.CosmoParams(SIGMA_8=0.8),\n", ")\n", "\n", "plotting.coeval_sliceplot(perturbed_field, \"density\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows that we don't need to perform the *previous* step to do any of the steps, they will be calculated automatically.\n", "\n", "Now, let's get an ionized box, but this time we won't assume the saturated limit, so we need to use the spin temperature. We can do this directly in the ``ionize_box`` function, but let's do it explicitly. We will use the auto-generation of the initial conditions and perturbed field. However, the spin temperature is an *evolved* field, i.e. to compute the field at $z$, we need to know the field at $z+\\Delta z$. This continues up to some redshift, labelled ``z_heat_max``, above which the spin temperature can be defined directly from the perturbed field. \n", "\n", "Thus, one option is to pass to the function a *previous* spin temperature box, to evolve to *this* redshift. However, we don't have a previous spin temperature box yet. Of course, the function itself will go and calculate that box if it's not given (or read it from cache if it's been calculated before!). When it tries to do that, it will go to the one before, and so on until it reaches ``z_heat_max``, at which point it will calculate it directly. \n", "\n", "To facilitate this recursive progression up the redshift ladder, there is a parameter, ``z_step_factor``, which is a multiplicate factor that determines the previous redshift at each step. \n", "\n", "We can also pass the dependent boxes explicitly, which provides the parameters necessary.\n", "\n", "**WARNING: THIS IS THE MOST TIME-CONSUMING STEP OF THE CALCULATION!**" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:12:50.956807Z", "start_time": "2020-02-29T22:11:38.320762Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-02-29 15:11:38,347 | INFO | Existing init_boxes found and read in (seed=521414794440).\n" ] } ], "source": [ "spin_temp = p21c.spin_temperature(\n", " perturbed_field = perturbed_field,\n", " zprime_step_factor=1.05,\n", ")" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:12:53.928243Z", "start_time": "2020-02-29T22:12:53.712484Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.coeval_sliceplot(spin_temp, \"Ts_box\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's note here that each of the functions accepts a few of the same arguments that modifies how the boxes are cached. There is a ``write`` argument, which if set to ``False``, will disable writing that box to cache (and it is passed through the recursive heirarchy). There is also ``regenerate``, which if ``True``, forces this box and all its predecessors to be re-calculated even if they exist in the cache. Then there is ``direc``, which we have seen before.\n", "\n", "Finally note that by default, ``random_seed`` is set to ``None``. If this is the case, then any cached dataset matching all other parameters will be read in, and the ``random_seed`` will be set based on the file read in. If it is set to an integer number, then the cached dataset must also match the seed. If it is ``None``, and no matching dataset is found, a random seed will be autogenerated." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now if we calculate the ionized box, ensuring that it uses the spin temperature, then it will also need to be evolved. However, due to the fact that we cached each of the spin temperature steps, these should be read in accordingly:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:12:59.214838Z", "start_time": "2020-02-29T22:12:55.760472Z" }, "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-02-29 15:12:55,794 | INFO | Existing init_boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,814 | INFO | Existing z=34.2811622461279 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,827 | INFO | Existing z=34.2811622461279 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,865 | INFO | Existing z=32.60110690107419 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,880 | INFO | Existing z=32.60110690107419 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,906 | INFO | Existing z=31.00105419149923 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,919 | INFO | Existing z=31.00105419149923 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,948 | INFO | Existing z=29.4771944680945 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,963 | INFO | Existing z=29.4771944680945 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:55,991 | INFO | Existing z=28.02589949342333 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,005 | INFO | Existing z=28.02589949342333 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,033 | INFO | Existing z=26.643713803260315 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,051 | INFO | Existing z=26.643713803260315 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,079 | INFO | Existing z=25.32734647929554 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,094 | INFO | Existing z=25.32734647929554 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,127 | INFO | Existing z=24.073663313614798 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,141 | INFO | Existing z=24.073663313614798 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,168 | INFO | Existing z=22.879679346299806 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,182 | INFO | Existing z=22.879679346299806 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,205 | INFO | Existing z=21.742551758380767 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,219 | INFO | Existing z=21.742551758380767 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,403 | INFO | Existing z=20.659573103219778 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,418 | INFO | Existing z=20.659573103219778 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,620 | INFO | Existing z=19.62816486020931 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,635 | INFO | Existing z=19.62816486020931 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,784 | INFO | Existing z=18.645871295437438 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,793 | INFO | Existing z=18.645871295437438 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,931 | INFO | Existing z=17.71035361470232 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:56,941 | INFO | Existing z=17.71035361470232 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,085 | INFO | Existing z=16.81938439495459 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,095 | INFO | Existing z=16.81938439495459 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,243 | INFO | Existing z=15.970842280909132 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,254 | INFO | Existing z=15.970842280909132 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,399 | INFO | Existing z=15.162706934199171 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,408 | INFO | Existing z=15.162706934199171 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,544 | INFO | Existing z=14.393054223046828 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,554 | INFO | Existing z=14.393054223046828 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,691 | INFO | Existing z=13.66005164099698 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,700 | INFO | Existing z=13.66005164099698 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,832 | INFO | Existing z=12.961953943806646 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,840 | INFO | Existing z=12.961953943806646 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,970 | INFO | Existing z=12.297098994101567 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:57,978 | INFO | Existing z=12.297098994101567 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,106 | INFO | Existing z=11.663903803906255 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,114 | INFO | Existing z=11.663903803906255 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,244 | INFO | Existing z=11.060860765625003 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,254 | INFO | Existing z=11.060860765625003 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,394 | INFO | Existing z=10.486534062500002 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,402 | INFO | Existing z=10.486534062500002 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,529 | INFO | Existing z=9.939556250000003 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,538 | INFO | Existing z=9.939556250000003 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,674 | INFO | Existing z=9.418625000000002 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,682 | INFO | Existing z=9.418625000000002 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,810 | INFO | Existing z=8.922500000000001 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,819 | INFO | Existing z=8.922500000000001 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,947 | INFO | Existing z=8.450000000000001 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:58,956 | INFO | Existing z=8.450000000000001 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:12:59,086 | INFO | Existing z=8.0 perturb_field boxes found and read in (seed=521414794440).\n" ] } ], "source": [ "ionized_box = p21c.ionize_box(\n", " spin_temp = spin_temp,\n", " zprime_step_factor=1.05,\n", ")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:13:02.551178Z", "start_time": "2020-02-29T22:13:02.342852Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " plotting.coeval_sliceplot(ionized_box, \"xH_box\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great! So again, we can just get the brightness temp:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:13:03.853019Z", "start_time": "2020-02-29T22:13:03.815626Z" } }, "outputs": [], "source": [ "brightness_temp = p21c.brightness_temperature(\n", " ionized_box = ionized_box,\n", " perturbed_field = perturbed_field,\n", " spin_temp = spin_temp\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now lets plot our brightness temperature, which has been evolved from high redshift with spin temperature fluctuations:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:13:05.570514Z", "start_time": "2020-02-29T22:13:05.307722Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plotting.coeval_sliceplot(brightness_temp);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also check what the result would have been if we had limited the maximum redshift of heating. Note that this *recalculates* all previous spin temperature and ionized boxes, because they depend on both ``z_heat_max`` and ``zprime_step_factor``." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:13:52.943512Z", "start_time": "2020-02-29T22:13:08.799693Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2020-02-29 15:13:08,824 | INFO | Existing init_boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:08,840 | INFO | Existing z=19.62816486020931 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:11,438 | INFO | Existing z=18.645871295437438 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:11,447 | INFO | Existing z=19.62816486020931 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:14,041 | INFO | Existing z=17.71035361470232 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:14,050 | INFO | Existing z=18.645871295437438 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:16,667 | INFO | Existing z=16.81938439495459 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:16,675 | INFO | Existing z=17.71035361470232 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:19,213 | INFO | Existing z=15.970842280909132 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:19,222 | INFO | Existing z=16.81938439495459 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:21,756 | INFO | Existing z=15.162706934199171 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:21,764 | INFO | Existing z=15.970842280909132 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:24,409 | INFO | Existing z=14.393054223046828 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:24,417 | INFO | Existing z=15.162706934199171 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:26,938 | INFO | Existing z=13.66005164099698 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:26,947 | INFO | Existing z=14.393054223046828 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:29,504 | INFO | Existing z=12.961953943806646 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:29,517 | INFO | Existing z=13.66005164099698 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:32,163 | INFO | Existing z=12.297098994101567 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:32,171 | INFO | Existing z=12.961953943806646 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:34,704 | INFO | Existing z=11.663903803906255 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:34,712 | INFO | Existing z=12.297098994101567 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:37,257 | INFO | Existing z=11.060860765625003 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:37,266 | INFO | Existing z=11.663903803906255 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:39,809 | INFO | Existing z=10.486534062500002 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:39,817 | INFO | Existing z=11.060860765625003 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:42,378 | INFO | Existing z=9.939556250000003 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:42,387 | INFO | Existing z=10.486534062500002 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:44,941 | INFO | Existing z=9.418625000000002 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:44,950 | INFO | Existing z=9.939556250000003 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:47,518 | INFO | Existing z=8.922500000000001 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:47,528 | INFO | Existing z=9.418625000000002 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:50,077 | INFO | Existing z=8.450000000000001 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:50,086 | INFO | Existing z=8.922500000000001 spin_temp boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:52,626 | INFO | Existing z=8.0 perturb_field boxes found and read in (seed=521414794440).\n", "2020-02-29 15:13:52,762 | INFO | Existing brightness_temp box found and read in (seed=521414794440).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ionized_box = p21c.ionize_box(\n", " spin_temp = spin_temp,\n", " zprime_step_factor=1.05,\n", " z_heat_max = 20.0\n", ")\n", "\n", "brightness_temp = p21c.brightness_temperature(\n", " ionized_box = ionized_box,\n", " perturbed_field = perturbed_field,\n", " spin_temp = spin_temp\n", ")\n", "\n", "plotting.coeval_sliceplot(brightness_temp);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, it's very similar!" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:21cmfast]", "language": "python", "name": "conda-env-21cmfast-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }