mirror of
https://github.com/hoellin/selfisys_examples.git
synced 2025-06-07 08:01:12 +00:00
287 lines
740 KiB
Text
287 lines
740 KiB
Text
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"This notebook is part of the SelfiSys project and is licensed under the GNU General Public License v3.0 or later (GPL-3.0-or-later). See the accompanying LICENSE file or visit [GNU GPL](https://www.gnu.org/licenses/gpl-3.0.en.html) for details.\n",
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"\n",
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"Tristan Hoellinger<br/>\n",
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"Institut d'Astrophysique de Paris</br>\n",
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"tristan.hoellinger@iap.fr\n",
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"\n",
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"# Investigate the binning and interpolation strategy\n",
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"\n",
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"Validate the interpolation strategy for representing power spectra."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Set up the environment and parameters"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"from selfisys.global_parameters import *\n",
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"\n",
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"wd = Path(OUTPUT_PATH) / \"expl_notebooks/interpolation/\""
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"%load_ext autoreload\n",
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"%autoreload 2\n",
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"\n",
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"from pathlib import Path\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"from selfisys.setup_model import *\n",
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"from selfisys.utils.tools import get_k_max\n",
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"from selfisys.utils.plot_params import *\n",
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"from selfisys.utils.plot_examples import *\n",
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"\n",
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"# Configure plotting aesthetics for consistent visualisation\n",
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"setup_plotting()\n",
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"\n",
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"modeldir = Path(wd) / \"model\"\n",
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"modeldir.mkdir(parents=True, exist_ok=True)\n",
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"(Path(wd) / \"Figures\").mkdir(parents=True, exist_ok=True)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"size = 512\n",
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"L = 3600\n",
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"Pinit = 50\n",
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"S = 64"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Compute a power spectrum and plot it"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"k_max = 0.774\n"
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]
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}
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],
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"source": [
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"k_max = get_k_max(L, size) # k_max in h/Mpc\n",
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"print(f\"k_max = {k_max}\")\n",
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"# Cosmo at the expansion point:\n",
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"params_planck = params_planck_kmax_missing.copy()\n",
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"params_planck[\"k_max\"] = k_max\n",
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"# Cosmo for BBKS spectrum with fiducial cosmology (for normalisation):\n",
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"params_BBKS = params_BBKS_kmax_missing.copy()\n",
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"params_BBKS[\"k_max\"] = k_max\n",
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"# Groundtruth cosmology:\n",
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"params_cosmo_obs = params_cosmo_obs_kmax_missing.copy()\n",
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"params_cosmo_obs[\"k_max\"] = k_max"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[20:59:12|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(selfisys.setup_model)\u001b[00m Computing Fourier grid...\n",
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"[20:59:12|\u001b[38;5;113mSTATUS \u001b[00m]|Setting up Fourier grid...\n",
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"[20:59:19|\u001b[38;5;113mSTATUS \u001b[00m]|Setting up Fourier grid done.\n",
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"[20:59:19|\u001b[38;5;113mSTATUS \u001b[00m]|Write Fourier grid in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/G_sim.h5'...\n",
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"[20:59:19|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mL0=3600, L1=3600, L2=3600\u001b[00m\n",
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"[20:59:19|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mN0=512, N1=512, N2=512, N2_HC=257, N_HC=67371008, NUM_MODES=140945\u001b[00m\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Write Fourier grid in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/G_sim.h5' done.\n",
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"[20:59:20|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(selfisys.setup_model)\u001b[00m Computing Fourier grid done.\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Setting up Fourier grid...\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Setting up Fourier grid done.\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Write Fourier grid in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/G_ss.h5'...\n",
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"[20:59:20|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mL0=3600, L1=3600, L2=3600\u001b[00m\n",
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"[20:59:20|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mN0=512, N1=512, N2=512, N2_HC=257, N_HC=67371008, NUM_MODES=37\u001b[00m\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Write Fourier grid in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/G_ss.h5' done.\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing normalization of the power spectrum...\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing normalization of the power spectrum done.\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing power spectrum...\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing power spectrum done.\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing normalization of the power spectrum...\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing normalization of the power spectrum done.\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing power spectrum...\n",
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"[20:59:20\u001b[00m|\u001b[38;5;113mSTATUS \u001b[00m]|Computing power spectrum done.\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Write power spectrum in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/P_ss_obj.h5'...\n",
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"[20:59:20|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mL0=3600, L1=3600, L2=3600\u001b[00m\n",
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"[20:59:20|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mN0=512, N1=512, N2=512, N2_HC=257, N_HC=67371008, NUM_MODES=37\u001b[00m\n",
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Write power spectrum in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/P_ss_obj.h5' done.\n"
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]
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}
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],
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"source": [
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"params = setup_model(\n",
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" workdir=modeldir,\n",
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" params_planck=params_planck,\n",
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" params_P0=params_BBKS,\n",
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" size=size,\n",
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" L=L,\n",
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" S=S,\n",
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" Pinit=Pinit,\n",
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" force=True,\n",
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")\n",
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"(\n",
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" size,\n",
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" L,\n",
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" P,\n",
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" S,\n",
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" G_sim_path,\n",
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" G_ss_path,\n",
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" Pbins_bnd,\n",
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" Pbins,\n",
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" k_s,\n",
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" P_ss_obj_path,\n",
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" P_0,\n",
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" planck_Pk,\n",
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") = params"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[20:59:20|\u001b[38;5;113mSTATUS \u001b[00m]|Setting up Fourier grid...\n",
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"[20:59:28|\u001b[38;5;113mSTATUS \u001b[00m]|Setting up Fourier grid done.\n",
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"[20:59:28|\u001b[38;5;113mSTATUS \u001b[00m]|Read Fourier grid in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/G_sim.h5'...\n",
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"[20:59:28|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mL0=3600.0, L1=3600.0, L2=3600.0\u001b[00m\n",
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"[20:59:28|\u001b[38;5;246mDIAGNOSTIC\u001b[00m]==|\u001b[38;5;246mN0=512, N1=512, N2=512, N2_HC=257, N_HC=67371008, NUM_MODES=140945\u001b[00m\n",
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"[20:59:28|\u001b[38;5;113mSTATUS \u001b[00m]|Read Fourier grid in data file '/Users/hoellinger/SELFI/expl_notebooks/interpolation/model/G_sim.h5' done.\n"
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]
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}
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],
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"source": [
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"from pysbmy.power import PowerSpectrum, FourierGrid\n",
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"\n",
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"true_P = PowerSpectrum(L, L, L, size, size, size, params_planck)\n",
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"G_sim = FourierGrid.read(G_sim_path)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[20:59:29|\u001b[1;36mINFO \u001b[00m]|Figure saved to: /Users/hoellinger/SELFI/expl_notebooks/interpolation/Figures/summary.pdf\n"
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]
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},
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{
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"data": {
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|
|
"text/plain": [
|
|
"<Figure size 4500x1500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
|
],
|
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"source": [
|
|
"plot_power_spectrum(\n",
|
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" G_sim,\n",
|
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" true_P,\n",
|
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" k_s,\n",
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" planck_Pk,\n",
|
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" Pbins,\n",
|
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" Pbins_bnd,\n",
|
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" size,\n",
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" L,\n",
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" wd,\n",
|
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" \"Power spectrum with Planck 2018 cosmological parameters\",\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[20:59:30|\u001b[1;36mINFO \u001b[00m]|Figure saved to: /Users/hoellinger/SELFI/expl_notebooks/interpolation/Figures/summary_relerr.pdf\n",
|
|
"[20:59:30|\u001b[1;36mINFO \u001b[00m]|Max relative error over all support points: 0.663%\n",
|
|
"[20:59:30|\u001b[1;36mINFO \u001b[00m]|Max relative error up to 1D Nyquist frequency: 0.134%\n",
|
|
"[20:59:30|\u001b[1;36mINFO \u001b[00m]|Max relative error up to k = 2e-1: 0.069%\n"
|
|
]
|
|
},
|
|
{
|
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"data": {
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|
|
"text/plain": [
|
|
"<Figure size 4500x1500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"relative_error_analysis(G_sim, true_P, k_s, planck_Pk, Pbins, Pbins_bnd, size, L, wd)"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "simbel",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
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"name": "ipython",
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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}
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},
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}
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