{ "cells": [ { "cell_type": "markdown", "id": "612b368e", "metadata": {}, "source": [ "# Multimodel Example\n", "\n", "This notebook shows a concrete `multi_transit` setup where two atmospheric regions are described in separate TauREx parameter files and combined into a single weighted transmission spectrum. The example mirrors a east-west style configuration: a hotter east side terminator, and a more cloudy west side terminator." ] }, { "cell_type": "markdown", "id": "70140737", "metadata": {}, "source": [ "## Data Note\n", "\n", "The example below uses the opacity files prepared in the setup notebook together with checked-in parameter files under `examples/parfiles`. To keep the example runnable in a lightweight local setup, the regional models use absorption-only contributions.\n", "\n", "The notebook changes into the project root before loading the main file so that the repo-relative paths inside the `.par` files resolve consistently." ] }, { "cell_type": "code", "execution_count": 1, "id": "490800ab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Project root: taurex3\n", "Day-side file: examples/parfiles/multimodel_east.par\n", "Night-side file: examples/parfiles/multimodel_west.par\n", "Main multimodel file: examples/parfiles/multimodel_main.par\n" ] } ], "source": [ "from pathlib import Path\n", "import os\n", "import sys\n", "import numpy as np\n", "\n", "for candidate in (Path.cwd(), *Path.cwd().parents):\n", " if (candidate / '_shared.py').exists():\n", " sys.path.insert(0, str(candidate))\n", " break\n", " nested = candidate / 'examples' / 'notebooks'\n", " if (nested / '_shared.py').exists():\n", " sys.path.insert(0, str(nested))\n", " break\n", "\n", "from _shared import PROJECT_ROOT, ensure_opacity_data\n", "\n", "ensure_opacity_data(download=False)\n", "os.chdir(PROJECT_ROOT)\n", "\n", "project_root = Path.cwd()\n", "parfile_dir = project_root / 'examples' / 'parfiles'\n", "day_path = parfile_dir / 'multimodel_east.par'\n", "night_path = parfile_dir / 'multimodel_west.par'\n", "main_path = parfile_dir / 'multimodel_main.par'\n", "\n", "print(f'Project root: {project_root.name}')\n", "print(f'Day-side file: {day_path.relative_to(project_root)}')\n", "print(f'Night-side file: {night_path.relative_to(project_root)}')\n", "print(f'Main multimodel file: {main_path.relative_to(project_root)}')" ] }, { "cell_type": "code", "execution_count": 2, "id": "0a792123-da9f-4752-85c3-11d4914cec4f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "PosixPath('/home/quent/Software/taurex3')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PROJECT_ROOT" ] }, { "cell_type": "markdown", "id": "1b6ca5dd", "metadata": {}, "source": [ "## How the parameter files are split\n", "\n", "This example uses three checked-in `.par` files to create a forward model with limb asymetry.\n", "\n", "- `examples/parfiles/multimodel_main.par` is the entry point. It defines the shared global paths, star, planet, a default atmosphere block, and the `multi_transit` model itself.\n", "- `examples/parfiles/multimodel_east.par` defines the hotter, east terminator region.\n", "- `examples/parfiles/multimodel_weast.par` defines the cooler, west terminator region.\n", "\n", "Only the main file is printed below, because that is the file a user would normally start from. The regional files are linked through the `parfiles` entry inside that main file. More background on TauREx input files is in `08_parameter_files.ipynb` and in the input-file docs at `docs/user/taurex/inputfile.rst`." ] }, { "cell_type": "code", "execution_count": 3, "id": "067ca6ea", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Main parameter file: examples/parfiles/multimodel_main.par\n", "\n", "[Global]\n", "xsec_path = examples/tmp/xsec\n", "cia_path = examples/tmp/cia\n", "\n", "[Chemistry]\n", "chemistry_type = taurex\n", "fill_gases = H2,He\n", "ratio = 0.1756\n", "\n", " [[H2O]]\n", " gas_type = constant\n", " mix_ratio = 1e-3\n", "\n", " [[CO2]]\n", " gas_type = constant\n", " mix_ratio = 1e-2\n", "\n", "[Temperature]\n", "profile_type = isothermal\n", "T = 1800\n", "\n", "[Pressure]\n", "profile_type = Simple\n", "atm_min_pressure = 1e-5\n", "atm_max_pressure = 1e5\n", "nlayers = 80\n", "\n", "[Planet]\n", "planet_type = Simple\n", "planet_mass = 0.74\n", "planet_radius = 1.38\n", "\n", "[Star]\n", "star_type = blackbody\n", "temperature = 6117\n", "radius = 1.16\n", "\n", "[Model]\n", "model_type = multi_transit\n", "parfiles = examples/parfiles/multimodel_east.par,examples/parfiles/multimodel_west.par\n", "fractions = 0.65,\n", "\n", "[Observation]\n", "observed_spectrum = examples/parfiles/multimodel_observation.dat\n", "\n", "[Optimizer]\n", "optimizer = nestle\n", "num_live_points = 300\n", "method = multi\n", "\n", "[Fitting]\n", "\n", "fr_1:fit = True\n", "fr_1:bounds = 0.0, 1.0\n", "\n", "planet_radius:fit = True\n", "planet_radius:bounds = 1.0, 1.6\n", "\n", "m1_H2O:fit = True\n", "m1_H2O:bounds = 1e-12, 1e-1\n", "m2_H2O:fit = True\n", "m2_H2O:bounds = 1e-12, 1e-1\n", "\n", "m1_T:fit = True\n", "m1_T:bounds = 1000, 2500\n", "m2_T:fit = True\n", "m2_T:bounds = 1000, 2500\n", "\n", "m2_clouds_pressure:fit = True\n", "m2_clouds_pressure:bounds = 1e3,1e-2\n", "\n", "\n", "Companion regional files:\n", " - examples/parfiles/multimodel_east.par\n", " - examples/parfiles/multimodel_west.par\n" ] } ], "source": [ "print(f'Main parameter file: {main_path.relative_to(project_root)}\\n')\n", "print(main_path.read_text())\n", "\n", "print('\\nCompanion regional files:')\n", "print(f' - {day_path.relative_to(project_root)}')\n", "print(f' - {night_path.relative_to(project_root)}')" ] }, { "cell_type": "markdown", "id": "9a3ae200", "metadata": {}, "source": [ "## What TauREx is doing here\n", "\n", "`multimodel_main.par` is the only file passed directly to `ParameterParser`. TauREx reads that main file first, sees `model_type = multi_transit`, and then follows the `parfiles` entry to load the east-side and west-side region files.\n", "\n", "The main file supplies the shared context for the run: global data paths, star, planet, and a default atmospheric setup. The regional files then override the parts that differ between regions, here mainly the temperature and clouds for the west side of the terminator. The `fractions` entry in the main file sets how strongly each regional spectrum contributes to the final combined spectrum. For retrievals, provide only `N-1` fraction values so TauREx can infer the last region automatically and keep the combined weights normalized." ] }, { "cell_type": "code", "execution_count": 4, "id": "94eee0ba", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Numba not installed, using numpy instead\n", "Top-level model: MultiParameterTransitModel\n", "Internal multimodel: MultiTransitModel\n", "Number of regions: 2\n", "Fractions: [0.65, 0.35]\n", "First fitting parameters: ['fr_1', 'planet_mass', 'planet_radius', 'planet_distance', 'planet_sma', 'distance', 'm1_T', 'm2_T']\n" ] } ], "source": [ "from taurex.parameter import ParameterParser\n", "\n", "parser = ParameterParser()\n", "parser.read(str(main_path))\n", "parser.setup_globals()\n", "model = parser.generate_appropriate_model()\n", "model.build()\n", "\n", "internal_model = model._multimodel\n", "\n", "print('Top-level model:', type(model).__name__)\n", "print('Internal multimodel:', type(internal_model).__name__)\n", "print('Number of regions:', len(internal_model._sub_models))\n", "print('Fractions:', internal_model._fractions)\n", "print('First fitting parameters:', list(model.fittingParameters)[:8])" ] }, { "cell_type": "code", "execution_count": 5, "id": "c9732b29", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "combined_grid, combined_flux, _, _ = model.model()\n", "combined_wavelength = 10000 / combined_grid\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4.5))\n", "for index, sub_model in enumerate(internal_model._sub_models, start=1):\n", " region_grid, region_flux, _, _ = sub_model.model(wngrid=combined_grid, cutoff_grid=False)\n", " ax.plot(10000 / region_grid, region_flux, label=f'Region {index}', alpha=0.7)\n", "\n", "ax.plot(combined_wavelength, combined_flux, color='black', linewidth=2.2, label='Weighted composite')\n", "ax.set_xlabel('Wavelength [micron]')\n", "ax.set_ylabel('Transit depth')\n", "ax.set_title('Concrete multi_transit example')\n", "ax.legend()\n", "ax.grid(alpha=0.25)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "50cfa24d-8334-4eee-89bc-a94fbc3b9c6c", "metadata": {}, "source": [ "## Adding some binning to prepare a retrieval\n", "\n", "This section is to prepare a future tutorial.\n", "\n", "The full high-res spectrum is now binned down to the arbitrary $\\lambda = [1.2, 7.8]$ grid at $\\mathcal{R} = 20$ to get ready for a retrieval example with the parfiles.\n", "\n", "The last cell saves the spectrum in a text file (it is already there, so saving is disabled)!" ] }, { "cell_type": "code", "execution_count": 6, "id": "8b704593-7f42-45f1-b6ed-cc8137fb1d85", "metadata": {}, "outputs": [], "source": [ "from taurex.binning import FluxBinner\n", "from taurex.util.util import create_grid_res\n", "np.random.seed(0)\n", "\n", "grid = create_grid_res(20, 1.2, 7.8)\n", "binner = FluxBinner(grid[:,0], grid[:,1])\n", "\n", "observation_wl, observation_sp, _, _ = binner.bindown(combined_wavelength[::-1], combined_flux[::-1])\n", "fake_error = 150 * 1e-6 \n", "observation_sp_rand = np.random.normal(observation_sp, fake_error) # add manually 150ppm error" ] }, { "cell_type": "code", "execution_count": 9, "id": "d2d7479a-52de-4bf3-98d0-aeafab399eb0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 4.5))\n", "ax.plot(observation_wl, observation_sp, color='black', label='Binned Spectrum')\n", "ax.errorbar(observation_wl, observation_sp_rand, yerr=fake_error, fmt = '.', label='Simulated Observations')\n", "\n", "ax.set_xscale('log')\n", "ax.set_xlabel('Wavelength [micron]')\n", "ax.set_ylabel('Transit depth')\n", "ax.set_title('Simulated observation')\n", "ax.set_xticks([2, 3, 4, 6], ['2', '3','4', '6'])\n", "ax.legend()\n", "ax.grid(alpha=0.25)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "656a1140-d534-4b73-8661-a8bb1ca2de0b", "metadata": {}, "outputs": [], "source": [ "observation_path = parfile_dir / 'multimodel_observation.dat'\n", "\n", "saved_spectrum = np.zeros((len(observation_wl), 3))\n", "saved_spectrum[:,0] = observation_wl\n", "saved_spectrum[:,1] = observation_sp_rand\n", "saved_spectrum[:,2] = fake_error\n", "#np.savetxt(observation_path, saved_spectrum) ## Disabled since file already there." ] }, { "cell_type": "code", "execution_count": null, "id": "94a40d38-d5ae-4a11-aaa8-c243535174b1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }