{ "cells": [ { "cell_type": "markdown", "id": "d0f09228", "metadata": {}, "source": [ "# Using float32\n", "Many modern GPUs have specialized hardware units optimized for float32 operations. Leveraging the floating-point precision of 32-bit may fully exploit the hardware acceleration and gain better performance and memory-efficiency. \n", "However, we need to scale responses and PSDs to avoid the underflow.\n", "A factor of `PC_SI / (MRSUN_SI * MTSUN_SI)` is multiplied to responses, and the square of this factor is multiplied to PSDs." ] }, { "cell_type": "code", "execution_count": 1, "id": "75ddb496", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Taichi] version 1.7.4, llvm 15.0.4, commit b4b956fd, linux, python 3.10.19\n", "[Taichi] Starting on arch=x64\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[I 02/06/26 22:34:50.713 221985] [shell.py:_shell_pop_print@23] Graphical python shell detected, using wrapped sys.stdout\n", "/tmp/ipykernel_221985/995760217.py:11: UserWarning: Wswiglal-redir-stdio:\n", "\n", "SWIGLAL standard output/error redirection is enabled in IPython.\n", "This may lead to performance penalties. To disable locally, use:\n", "\n", "with lal.no_swig_redirect_standard_output_error():\n", " ...\n", "\n", "To disable globally, use:\n", "\n", "lal.swig_redirect_standard_output_error(False)\n", "\n", "Note however that this will likely lead to error messages from\n", "LAL functions being either misdirected or lost when called from\n", "Jupyter notebooks.\n", "\n", "To suppress this warning, use:\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "import lal\n", "\n", " import lal\n" ] } ], "source": [ "import taichi as ti\n", "ti.init(\n", " arch=ti.cpu,\n", " default_fp=ti.f32,\n", " cpu_max_num_threads=1,\n", " offline_cache=False,\n", ")\n", " \n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import lal\n", "import bilby\n", "\n", "from pespace.detector.antenna import InterferometerAntenna, FDResponseModelMarset2018\n", "from pespace.detector.orbit import available_orbit_models\n", "from pespace.detector.noise import available_noise_models\n", "from pespace.detector.tdi import TDIChannelData, FDMichelsonConstantEqualArm\n", "from tiwave.waveforms import IMRPhenomXAS\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "90fa2009", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'total_mass': 3000000.0,\n", " 'mass_ratio': 0.6,\n", " 'chi_1': 0.75,\n", " 'chi_2': 0.62,\n", " 'luminosity_distance': 56000.0,\n", " 'inclination': 0.4,\n", " 'reference_phase': 1.3,\n", " 'ecliptic_longitude': 1.375,\n", " 'ecliptic_latitude': -1.2108,\n", " 'polarization': 2.659,\n", " 'coalescence_time': 0.0,\n", " 'mass_1': 1875000.0,\n", " 'mass_2': 1125000.0,\n", " 'chirp_mass': 1256226.717491785,\n", " 'symmetric_mass_ratio': np.float64(0.234375)}" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tdi_gen = \"2.0\"\n", "tdi_chan = (\"A\", \"E\", \"T\")\n", "dt = 5.0\n", "f_min = 1e-5\n", "f_max = 0.5*(1/dt)\n", "f_ref = f_min\n", "t_start = 0.0\n", "num_tsamples = 2**np.ceil(np.log2(7*lal.DAYJUL_SI/dt))\n", "duration = num_tsamples * dt\n", "params = dict(\n", " total_mass=3e6,\n", " mass_ratio=0.6,\n", " chi_1=0.75,\n", " chi_2=0.62,\n", " luminosity_distance=56000.0,\n", " inclination=0.4,\n", " reference_phase=1.3,\n", " ecliptic_longitude=1.375,\n", " ecliptic_latitude=-1.2108,\n", " polarization=2.659,\n", " coalescence_time=0.0,\n", ")\n", "params = bilby.gw.conversion.generate_mass_parameters(params)\n", "params" ] }, { "cell_type": "code", "execution_count": 3, "id": "ee8cfce8", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/nrui/disk_ext/workspace/tiwave/tiwave/waveforms/base_waveform.py:69: UserWarning: check_parameters is disable, make sure all parameters passed in are valid.\n", " warnings.warn(\n" ] } ], "source": [ "tdi_data = TDIChannelData(scaling=True)\n", "tdi_data.set_fd_data_from_zero(\n", " channels=tdi_chan, \n", " duration=duration, \n", " delta_time=dt,\n", " start_time=t_start,\n", " minimum_frequency=f_min,\n", " maximum_frequency=f_max,\n", " )\n", "tdi_data.set_fd_noise_power_density_from_model(available_noise_models[\"LISA_SciRDv1\"], tdi_generation=tdi_gen)\n", "noise = tdi_data.get_fd_noise_realization()\n", "tdi_data.add_into_fd_data(noise)\n", "lisa = InterferometerAntenna(\n", " name=\"lisa\",\n", " tdi_data=tdi_data,\n", " orbit_model=available_orbit_models['LISA_analytic'],\n", " response_model=FDResponseModelMarset2018(),\n", " tdi_combination=FDMichelsonConstantEqualArm(generation=tdi_gen, orthogonal=True),\n", ")\n", "wf = IMRPhenomXAS(\n", " tdi_data.frequency_samples, \n", " f_ref, \n", " scaling=True, \n", " )\n", "wf.update_waveform(params)\n", "lisa.inject_signal(\n", " wf.waveform_container,\n", " params[\"ecliptic_longitude\"],\n", " params[\"ecliptic_latitude\"],\n", " params[\"polarization\"],\n", " params[\"coalescence_time\"],\n", ")\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "6f74095a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freqs_np = tdi_data.data_info.frequency_samples_array\n", "obs_data_np = lisa.tdi_data.fd_data_numpy\n", "tdi_resp_np = lisa.tdi_response_numpy\n", "\n", "tab20_colors = plt.cm.tab20.colors\n", "fig, ax = plt.subplots()\n", "line_data_A, = ax.loglog(freqs_np, np.abs(obs_data_np['A']), color=tab20_colors[1], label='data A')\n", "line_data_E, = ax.loglog(freqs_np, np.abs(obs_data_np['E']), color=tab20_colors[3], label='data E')\n", "line_data_T, = ax.loglog(freqs_np, np.abs(obs_data_np['T']), color=tab20_colors[5], label='data T')\n", "\n", "line_resp_A, = ax.loglog(freqs_np, np.abs(tdi_resp_np['A']), color=tab20_colors[0], linestyle='dashed', label='response A')\n", "line_resp_E, = ax.loglog(freqs_np, np.abs(tdi_resp_np['E']), color=tab20_colors[2], linestyle='dashed', label='response E')\n", "line_resp_T, = ax.loglog(freqs_np, np.abs(tdi_resp_np['T']), color=tab20_colors[4], linestyle='dashed', label='response T')\n", "\n", "ax.set_xlim(f_min, f_max)\n", "ax.set_xlabel('Frequency (Hz)')\n", "ax.set_ylabel('Amplitude (rescaled)')\n", "\n", "legend1 = ax.legend(\n", " handles=[line_data_A, line_data_E, line_data_T],\n", " loc='upper center',\n", " bbox_to_anchor=(0.12, 1.0),\n", ")\n", "\n", "legend2 = ax.legend(\n", " handles=[line_resp_A, line_resp_E, line_resp_T],\n", " loc='upper center',\n", " bbox_to_anchor=(0.36, 1.0),\n", ")\n", "\n", "ax.add_artist(legend1)\n" ] } ], "metadata": { "kernelspec": { "display_name": "pespace", "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": "3.10.19" } }, "nbformat": 4, "nbformat_minor": 5 }