{ "cells": [ { "cell_type": "code", "execution_count": null, "id": "ebb96089", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/wassim/micromamba/envs/fg/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n" ] } ], "source": [ "# Setup and Data Loading\n", "import jax\n", "from furax_cs import (\n", " load_cmb_map,\n", " save_cmb_map,\n", " save_to_cache,\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "id": "ec54be4f", "metadata": {}, "outputs": [], "source": [ "# Configure JAX\n", "jax.config.update(\"jax_enable_x64\", True)\n", "\n", "r_tensor_to_scalar_ratio = 4\n", "# Load CMB and foreground data\n", "nside = 64\n", "npixels = 12 * nside**2\n", "noise_id = 0\n", "noise_ratio = 1.0\n", "tag = f\"cr{r_tensor_to_scalar_ratio}d0s0\"\n", "mask_name = \"ALL\"" ] }, { "cell_type": "code", "execution_count": 7, "id": "1a59c4e4", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/wassim/micromamba/envs/fg/lib/python3.11/pty.py:89: RuntimeWarning: os.fork() was called. os.fork() is incompatible with multithreaded code, and JAX is multithreaded, so this will likely lead to a deadlock.\n", " pid, fd = os.forkpty()\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[INFO] Detected custom r tag: cr4\n", "[INFO] Generating custom CMB with r=0.004\n", "[INFO] generating with r_value 0.004\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/wassim/Projects/CMB/furax-compsep-paper/src/furax_cs/data/instruments.py:41: UserWarning: A JAX array is being set as static! This can result in unexpected behavior and is usually a mistake to do.\n", " return FGBusterInstrument(frequency, depth_i, depth_p)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[INFO] Added custom CMB with r=0.004 to maps.\n", "✓ Generated and saved freq_maps for nside 64.\n", "[INFO] Generating CMB map for nside 64, sky cr4d0s0\n", "[INFO] generating with r_value 0.004\n", "✓ Generated and saved freq_maps for nside 64 and for tag cr4.\n", "[INFO] Loaded freq_maps for nside 64 from cache.\n", "CMB map shape: (3, 49152)\n" ] } ], "source": [ "# Generate and load CMB data\n", "!rm -rf freq_maps_cache/\n", "save_to_cache(nside, sky=tag)\n", "save_cmb_map(nside, sky=tag)\n", "cmb_map = load_cmb_map(nside, sky=tag)\n", "print(f\"CMB map shape: {cmb_map.shape}\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "yrlyufr1szm", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input r = 0.003, Estimated r = 0.003373 +0.000280 -0.000260\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Direct r estimation on true CMB (no component separation)\n", "# This isolates whether the problem is in r estimation or in comp-sep residuals\n", "\n", "import healpy as hp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from furax_cs.r_analysis.r_estimate import _get_camb_templates, estimate_r\n", "\n", "# 1. Compute BB spectrum of true CMB\n", "cmb_iqu = np.array([cmb_map[0], np.array(cmb_map[1]), np.array(cmb_map[2])])\n", "cl_all = hp.anafast(cmb_iqu)\n", "ell_range, cl_bb_r1, cl_bb_lens = _get_camb_templates(nside)\n", "cl_bb_true = cl_all[2][ell_range] # BB component\n", "\n", "# 2. Estimate r directly (no noise, fullsky)\n", "r_best, sigma_neg, sigma_pos, r_grid, L_vals, _, _, _, cl_obs = estimate_r(\n", " cl_bb_true,\n", " nside,\n", " cl_noise=np.zeros_like(ell_range, dtype=float),\n", " f_sky=1.0,\n", " is_cl_obs=True,\n", " max_point=0.01,\n", ")\n", "print(f\"Input r = 0.003, Estimated r = {r_best:.6f} +{sigma_pos:.6f} -{sigma_neg:.6f}\")\n", "\n", "# 3. Plot spectra comparison\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", "# Left: spectra\n", "ax = axes[0]\n", "ax.plot(\n", " ell_range,\n", " ell_range * (ell_range + 1) * cl_bb_true / (2 * np.pi),\n", " label=\"True CMB BB (anafast)\",\n", " alpha=0.7,\n", ")\n", "ax.plot(\n", " ell_range,\n", " ell_range * (ell_range + 1) * (r_best * cl_bb_r1 + cl_bb_lens) / (2 * np.pi),\n", " label=f\"Fit: r={r_best:.4f}\",\n", " ls=\"--\",\n", ")\n", "ax.plot(\n", " ell_range,\n", " ell_range * (ell_range + 1) * (0.003 * cl_bb_r1 + cl_bb_lens) / (2 * np.pi),\n", " label=\"Theory: r=0.003\",\n", " ls=\":\",\n", ")\n", "ax.plot(\n", " ell_range,\n", " ell_range * (ell_range + 1) * cl_bb_lens / (2 * np.pi),\n", " label=\"Lensing only\",\n", " ls=\"-.\",\n", " alpha=0.5,\n", ")\n", "ax.set_xlabel(r\"$\\ell$\")\n", "ax.set_ylabel(r\"$\\ell(\\ell+1)C_\\ell^{BB}/(2\\pi)$ [$\\mu K^2$]\")\n", "ax.set_title(\"BB Power Spectra\")\n", "ax.legend()\n", "ax.set_yscale(\"log\")\n", "\n", "# Right: likelihood\n", "ax = axes[1]\n", "ax.plot(r_grid, L_vals / L_vals.max())\n", "ax.axvline(r_best, color=\"r\", ls=\"--\", label=f\"r_best = {r_best:.4f}\")\n", "ax.axvline(0.003, color=\"g\", ls=\":\", label=\"r_true = 0.003\")\n", "ax.fill_betweenx([0, 1], r_best - sigma_neg, r_best + sigma_pos, alpha=0.2, color=\"r\")\n", "ax.set_xlabel(\"r\")\n", "ax.set_ylabel(\"Normalized likelihood\")\n", "ax.set_title(\"Likelihood\")\n", "ax.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "ww3h35yyebd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[INFO] Generating CMB map for nside 64, sky c1d0s0\n", "✓ Generated and saved freq_maps for nside 64 and for tag c1.\n", "[INFO] Loaded freq_maps for nside 64 from cache.\n", "Input r = 0, Estimated r = -0.000030 +0.000020 -0.000000\n" ] } ], "source": [ "# Control test: r=0 should give r_best close to 0\n", "save_cmb_map(nside, sky=\"c1d0s0\")\n", "cmb_map_r0 = load_cmb_map(nside, sky=\"c1d0s0\")\n", "cmb_iqu_r0 = np.array([np.zeros(12 * nside**2), np.array(cmb_map_r0[1]), np.array(cmb_map_r0[2])])\n", "cl_bb_r0 = hp.anafast(cmb_iqu_r0)[2][ell_range]\n", "\n", "r_best_0, sn, sp, rg, Lv, _, _, _, _ = estimate_r(\n", " cl_bb_r0, nside, np.zeros_like(ell_range, dtype=float), 1.0, is_cl_obs=True, max_point=0.01\n", ")\n", "print(f\"Input r = 0, Estimated r = {r_best_0:.6f} +{sp:.6f} -{sn:.6f}\")" ] } ], "metadata": { "kernelspec": { "display_name": "fg", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }