{
"cells": [
{
"cell_type": "markdown",
"id": "47c34537",
"metadata": {},
"source": [
"Tristan Hoellinger
\n",
"Institut d'Astrophysique de Paris\n",
"tristan.hoellinger@iap.fr"
]
},
{
"cell_type": "markdown",
"id": "b31e6021",
"metadata": {},
"source": [
"# Fit the P3M limiter from existing simulation data\n",
"\n",
"## Set up the environment and parameters"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "0f8c355d",
"metadata": {},
"outputs": [],
"source": [
"# pyright: reportWildcardImportFromLibrary=false\n",
"from wip3m import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "31d95b9b",
"metadata": {},
"outputs": [],
"source": [
"workdir = ROOT_PATH + \"results/\"\n",
"output_path = OUTPUT_PATH"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "03aa3f4e",
"metadata": {},
"outputs": [],
"source": [
"# Automatic reloading of modules\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"from os.path import isfile, join\n",
"from pathlib import Path\n",
"import numpy as np\n",
"import json\n",
"\n",
"from pysbmy.timestepping import P3MTimeStepping\n",
"\n",
"from wip3m.plot_utils import * # type: ignore"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "57436422",
"metadata": {},
"outputs": [],
"source": [
"run_id = \"COLAr3/cola_2_07_05_L1024_N1024_Np512\"\n",
"# run_id = \"COLAr3/cola_L512_N1024_Np512\"\n",
"wd = workdir + run_id + \"/\"\n",
"simdir = output_path + run_id + \"/\"\n",
"outdir = simdir + \"plots/\"\n",
"\n",
"OutputTimestepsLog_list = [\n",
" simdir + \"colap3m1_timestep_log.txt\",\n",
" simdir + \"colap3m2_timestep_log.txt\",\n",
"]\n",
"TSpath_list = [\n",
" wd + f\"p3m1_relax2_0_ts_p3m.h5\",\n",
" wd + f\"p3m2_relax0_7_ts_p3m.h5\",\n",
" # wd + f\"p3m2_relax1_0_ts_p3m.h5\",\n",
"]\n",
"\n",
"# run_id = \"notebook8\"\n",
"# wd = workdir + run_id + \"/\"\n",
"# simdir = output_path + run_id + \"/\"\n",
"# OutputTimestepsLog_list = [\n",
"# simdir + \"timesteps_log_sim0.txt\",\n",
"# simdir + \"timesteps_log_sim1.txt\",\n",
"# simdir + \"timesteps_log_sim2.txt\",\n",
"# ]\n",
"# SimParams_list = [\n",
"# simdir + f\"sim_params_p3m_sim0.json\",\n",
"# simdir + f\"sim_params_p3m_sim1.json\",\n",
"# simdir + f\"sim_params_p3m_sim2.json\",\n",
"# ]\n",
"# TSpath_list = [\n",
"# wd + f\"sim0_ts_p3m.h5\",\n",
"# wd + f\"sim1_ts_p3m.h5\",\n",
"# wd + f\"sim2_ts_p3m.h5\",\n",
"# ]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7126d1c8",
"metadata": {},
"outputs": [],
"source": [
"N_sim_fit = len(OutputTimestepsLog_list)\n",
"all_sim_params_p3m = []\n",
"\n",
"# Load simulation parameters from JSON files\n",
"# fac_hubble_list = []\n",
"# fac_bend_list = []\n",
"# da_early_list = []\n",
"# for sim_idx in range(N_sim_fit):\n",
"# sim_params_path = SimParams_list[sim_idx]\n",
"# if not isfile(sim_params_path):\n",
"# raise FileNotFoundError(f\"Simulation parameters file not found: {sim_params_path}\")\n",
"# with open(sim_params_path, \"r\") as f:\n",
"# params = json.load(f)\n",
"# print(f\"Loaded simulation parameters for sim_idx=={sim_idx}: {len(params)} keys\")\n",
"# all_sim_params_p3m.append(params)\n",
"# fac_hubble = all_sim_params_p3m[sim_idx][\"fac_H_custom\"]\n",
"# fac_bend = all_sim_params_p3m[sim_idx][\"fac_bend\"]\n",
"# da_early = all_sim_params_p3m[sim_idx][\"da_max_early_custom\"]\n",
"\n",
"# Alternatively, let the user specify the parameters directly:\n",
"fac_hubble_list = [0.02, 0.02]\n",
"fac_bend_list = [0.3125/2, 0.3125]\n",
"da_early_list = [0.0013, 0.0013]\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "69dcd0c5",
"metadata": {},
"outputs": [],
"source": [
"aa = []\n",
"da_p3m_list = []\n",
"for sim_idx in range(N_sim_fit):\n",
" OutputTimestepsLog = OutputTimestepsLog_list[sim_idx][:-4] + \"_custom.txt\"\n",
" a, _, _, _, _, da_p3m, _, _, _ = np.loadtxt(\n",
" OutputTimestepsLog, delimiter=\",\", unpack=True, skiprows=0\n",
" )\n",
" aa.append(a)\n",
" da_p3m_list.append(da_p3m)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "701572ce",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation 0: Coefficients: [-4.41928363 0.24380666 1.92034984 1.21626721 0.81694801 0.20590599]\n",
"Coefficients saved to /home/hoellinger/wip3m/results/COLAr3/cola_2_07_05_L1024_N1024_Np512/coeffs_p3m_sim0.json\n",
"Simulation 1: Coefficients: [-4.40335594 0.26813626 2.11941734 1.40650529 0.86356166 0.20573432]\n",
"Coefficients saved to /home/hoellinger/wip3m/results/COLAr3/cola_2_07_05_L1024_N1024_Np512/coeffs_p3m_sim1.json\n"
]
}
],
"source": [
"# For each sim_idx, fit the P3M time step distribution and plot the results\n",
"amin_fit=1e-1\n",
"amin_plot=5e-2\n",
"deg_fit = 5 # Degree of the polynomial fit for the P3M limiter\n",
"\n",
"coeffs_list = [] # List to store the coefficients of each polynomial fit\n",
"for sim_idx in range(N_sim_fit):\n",
" # Fit the P3M time step distribution\n",
" a = aa[sim_idx]\n",
" da_p3m = da_p3m_list[sim_idx]\n",
" coeffs = fit_p3m(a, da_p3m, degree=deg_fit, amin=amin_fit)\n",
" coeffs_list.append(coeffs)\n",
"\n",
"fig = plt.figure(figsize=(6, 3.5))\n",
"gs = GridSpec(2, 1, height_ratios=[3, 1], hspace=0.05)\n",
"ax1 = fig.add_subplot(gs[0])\n",
"ax2 = fig.add_subplot(gs[1], sharex=ax1)\n",
"\n",
"for sim_idx in range(N_sim_fit):\n",
" a = aa[sim_idx]\n",
" da_p3m = da_p3m_list[sim_idx]\n",
" coeffs = coeffs_list[sim_idx]\n",
" mask = a > amin_plot # Filter out values below amin_plot\n",
" a = a[mask]\n",
" da_p3m = da_p3m[mask]\n",
" ratio = da_p3m / a\n",
" a_dense = np.logspace(np.log10(a.min()), np.log10(a.max()), 500)\n",
" fit_vals = evaluate_polynomial_log(coeffs, a_dense)\n",
" fit_interp = evaluate_polynomial_log(coeffs, a)\n",
" residuals = np.log(ratio / fit_interp)\n",
"\n",
" # P3M limiter and fit\n",
" if sim_idx == 0:\n",
" ax1.plot(a, ratio, \".\", alpha=0.7, color=f\"C{sim_idx}\", label=r\"$\\Delta t \\propto x_s/\\sqrt{\\langle v^2 \\rangle}$\")\n",
" ax1.plot(a_dense, fit_vals, \"-\", lw=1.8, color=f\"C{sim_idx}\", label=rf\"Fit for $a > {amin_fit}$\")\n",
" else:\n",
" ax1.plot(a, ratio, \".\", alpha=0.7, color=f\"C{sim_idx}\")\n",
" ax1.plot(a_dense, fit_vals, \"-\", lw=1.8, color=f\"C{sim_idx}\")\n",
" ax1.set_yscale(\"log\")\n",
" ax1.set_xscale(\"log\")\n",
" ax1.set_ylabel(r\"$\\Delta a/a$\")\n",
" ax1.legend(loc=\"upper right\", frameon=False)\n",
" ax1.tick_params(which=\"both\", direction=\"in\", top=True, right=True)\n",
" ax1.grid(True, which=\"major\", ls=\":\", lw=0.5)\n",
"\n",
" # Residuals\n",
" ax2.plot(a, residuals, \"o\", color=\"grey\", alpha=0.6, markersize=3)\n",
" \n",
"ax2.axhline(0.0, color=\"black\", lw=1, ls=\"--\")\n",
"ax2.set_ylabel(\"res\", labelpad=2)\n",
"ax2.set_xlabel(r\"Scale factor $a$\")\n",
"ax2.set_xscale(\"log\")\n",
"ax2.set_yscale(\"symlog\")\n",
"\n",
"ax2.tick_params(which=\"both\", direction=\"in\", top=True, right=True)\n",
"ax2.grid(True, which=\"major\", ls=\":\", lw=0.5)\n",
"ax1.tick_params(labelbottom=False)\n",
"ax2.yaxis.set_major_formatter(plt.FuncFormatter(lambda y, _: f\"{y:.3g}\"))\n",
"plt.show()\n",
"\n",
"for sim_idx, coeffs in enumerate(coeffs_list):\n",
" print(f\"Simulation {sim_idx}: Coefficients: {coeffs}\")\n",
" coeffs_path = wd + f\"coeffs_p3m_sim{sim_idx}.json\"\n",
" with open(coeffs_path, \"w\") as f:\n",
" json.dump(coeffs.tolist(), f)\n",
" print(f\"Coefficients saved to {coeffs_path}\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c1c096bb",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[05:03:35|\u001b[38;5;113mSTATUS \u001b[00m]|Read custom timestepping configuration in '/home/hoellinger/wip3m/results/COLAr3/cola_2_07_05_L1024_N1024_Np512/p3m1_relax2_0_ts_p3m.h5'...\n",
"[05:03:35|\u001b[38;5;113mSTATUS \u001b[00m]|Read custom timestepping configuration in '/home/hoellinger/wip3m/results/COLAr3/cola_2_07_05_L1024_N1024_Np512/p3m1_relax2_0_ts_p3m.h5' done.\n",
"[05:03:35|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(wip3m.plot_utils)\u001b[00m Plotting timestep limiters from /data70/hoellinger/WIP3M/COLAr3/cola_2_07_05_L1024_N1024_Np512/colap3m1_timestep_log.txt and /data70/hoellinger/WIP3M/COLAr3/cola_2_07_05_L1024_N1024_Np512/colap3m1_timestep_log_custom.txt...\n"
]
},
{
"ename": "ValueError",
"evalue": "not enough values to unpack (expected 10, got 9)",
"output_type": "error",
"traceback": [
"\u001b[31m---------------------------------------------------------------------------\u001b[39m",
"\u001b[31mValueError\u001b[39m Traceback (most recent call last)",
"\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[8]\u001b[39m\u001b[32m, line 7\u001b[39m\n\u001b[32m 5\u001b[39m nsteps = TS.nsteps\n\u001b[32m 6\u001b[39m OutputTimestepsLog = OutputTimestepsLog_list[sim_idx]\n\u001b[32m----> \u001b[39m\u001b[32m7\u001b[39m \u001b[43mplot_custom_timestepping_diagnostics\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m 8\u001b[39m \u001b[43m \u001b[49m\u001b[43mlog_path\u001b[49m\u001b[43m=\u001b[49m\u001b[43mOutputTimestepsLog\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 9\u001b[39m \u001b[43m \u001b[49m\u001b[43maiDrift\u001b[49m\u001b[43m=\u001b[49m\u001b[43maiDrift\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 10\u001b[39m \u001b[43m \u001b[49m\u001b[43mTimeStepDistribution\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m3\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 11\u001b[39m \u001b[43m \u001b[49m\u001b[43mnsteps\u001b[49m\u001b[43m=\u001b[49m\u001b[43mnsteps\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 12\u001b[39m \u001b[43m \u001b[49m\u001b[43mymin\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m3e-3\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 13\u001b[39m \u001b[43m \u001b[49m\u001b[43mymax\u001b[49m\u001b[43m=\u001b[49m\u001b[32;43m0.5\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m 14\u001b[39m \u001b[43m \u001b[49m\u001b[43mfac_hubble\u001b[49m\u001b[43m=\u001b[49m\u001b[43mfac_hubble_list\u001b[49m\u001b[43m[\u001b[49m\u001b[43msim_idx\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 15\u001b[39m \u001b[43m \u001b[49m\u001b[43mfac_bend\u001b[49m\u001b[43m=\u001b[49m\u001b[43mfac_bend_list\u001b[49m\u001b[43m[\u001b[49m\u001b[43msim_idx\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 16\u001b[39m \u001b[43m \u001b[49m\u001b[43mda_max_early\u001b[49m\u001b[43m=\u001b[49m\u001b[43mda_early_list\u001b[49m\u001b[43m[\u001b[49m\u001b[43msim_idx\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 17\u001b[39m \u001b[43m \u001b[49m\u001b[43mda_max_late\u001b[49m\u001b[43m=\u001b[49m\u001b[43mDEFAULT_DA_MAX_LATE_CUSTOM\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 18\u001b[39m \u001b[43m \u001b[49m\u001b[43mshow\u001b[49m\u001b[43m=\u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m,\u001b[49m\n\u001b[32m 19\u001b[39m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 20\u001b[39m fit_interp = evaluate_polynomial_log(coeffs_list[sim_idx], aa[sim_idx])\n\u001b[32m 21\u001b[39m plt.plot(aa[sim_idx], fit_interp, label=\u001b[33mr\u001b[39m\u001b[33m\"\u001b[39m\u001b[33m$\u001b[39m\u001b[33m\\\u001b[39m\u001b[33mDelta t \u001b[39m\u001b[33m\\\u001b[39m\u001b[33mpropto x_s/\u001b[39m\u001b[33m\\\u001b[39m\u001b[33msqrt\u001b[39m\u001b[33m{\u001b[39m\u001b[33m\\\u001b[39m\u001b[33mlangle v^2 \u001b[39m\u001b[33m\\\u001b[39m\u001b[33mrangle}$\u001b[39m\u001b[33m\"\u001b[39m, color=\u001b[33m\"\u001b[39m\u001b[33mblack\u001b[39m\u001b[33m\"\u001b[39m, alpha=\u001b[32m0.7\u001b[39m, zorder=\u001b[32m10\u001b[39m)\n",
"\u001b[36mFile \u001b[39m\u001b[32m~/wip3m/src/build/__editable__.wip3m-0.1.0-py3-none-any/wip3m/plot_utils.py:492\u001b[39m, in \u001b[36mplot_custom_timestepping_diagnostics\u001b[39m\u001b[34m(log_path, aiDrift, TimeStepDistribution, nsteps, fac_hubble, fac_bend, fac_p3m_fit, da_max_early, da_max_late, ymin, ymax, save_path, show)\u001b[39m\n\u001b[32m 490\u001b[39m logger.info(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33mPlotting timestep limiters from \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mlog_path\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m and \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mlog_path_custom\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m...\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m 491\u001b[39m INDENT()\n\u001b[32m--> \u001b[39m\u001b[32m492\u001b[39m a, da, da_max, da_dyn, da_bend, da_p3m, da_p3m_fit, da_hubble, da_hubble_lenient, da_late = np.loadtxt(log_path_custom, delimiter=\u001b[33m\"\u001b[39m\u001b[33m,\u001b[39m\u001b[33m\"\u001b[39m, unpack=\u001b[38;5;28;01mTrue\u001b[39;00m, skiprows=\u001b[32m0\u001b[39m)\n\u001b[32m 494\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m aiDrift \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 495\u001b[39m \u001b[38;5;28;01massert\u001b[39;00m np.allclose(a, aiDrift), \u001b[33m\"\u001b[39m\u001b[33maiDrift does not match the time steps in the log file.\u001b[39m\u001b[33m\"\u001b[39m\n",
"\u001b[31mValueError\u001b[39m: not enough values to unpack (expected 10, got 9)"
]
}
],
"source": [
"for sim_idx in range(N_sim_fit):\n",
" TSpath = TSpath_list[sim_idx]\n",
" TS = P3MTimeStepping.read(TSpath)\n",
" aiDrift = TS.aiDrift\n",
" nsteps = TS.nsteps\n",
" OutputTimestepsLog = OutputTimestepsLog_list[sim_idx]\n",
" plot_custom_timestepping_diagnostics(\n",
" log_path=OutputTimestepsLog,\n",
" aiDrift=aiDrift,\n",
" TimeStepDistribution=3,\n",
" nsteps=nsteps,\n",
" ymin=3e-3,\n",
" ymax=0.5,\n",
" fac_hubble=fac_hubble_list[sim_idx],\n",
" fac_bend=fac_bend_list[sim_idx],\n",
" da_max_early=da_early_list[sim_idx],\n",
" da_max_late=DEFAULT_DA_MAX_LATE_CUSTOM,\n",
" show=False,\n",
" )\n",
" fit_interp = evaluate_polynomial_log(coeffs_list[sim_idx], aa[sim_idx])\n",
" plt.plot(aa[sim_idx], fit_interp, label=r\"$\\Delta t \\propto x_s/\\sqrt{\\langle v^2 \\rangle}$\", color=\"black\", alpha=0.7, zorder=10)\n",
" plt.title(f\"Simulation {sim_idx}\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f225b2f9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "85b01324",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "dadb9198",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "p3m",
"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",
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"nbformat": 4,
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