{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "2a9e764d-deb1-43aa-93d3-3951c0ff0667", "metadata": {}, "source": [ "# Mode Summation" ] }, { "attachments": {}, "cell_type": "markdown", "id": "f40f5754-a775-430b-8a6e-09b27252279a", "metadata": {}, "source": [ "Mode summation is the bottleneck of this calculation. We handle this in two ways: interpolation for fast waveforms and direct summation for slow waveforms. They both have the same interface and produce the same product. They take Teukolsky modes and phases and combine that information to create the waveform. " ] }, { "attachments": {}, "cell_type": "markdown", "id": "31acfe73-7fd0-415a-9cf5-871d1213680c", "metadata": {}, "source": [ "### Interpolated summation\n", "\n", "To maximize efficiency we use the cubic spline discussed above to accelerate the computation with interpolation and parallelized summation (on the GPU or OpenMP). This class is [InterpolatedModeSum](https://bhptoolkit.org/FastEMRIWaveforms/html/user/sum.html#few.summation.interpolatedmodesum.InterpolatedModeSum). " ] }, { "cell_type": "code", "execution_count": 1, "id": "d07ab00f", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import few\n", "\n", "# tune few configuration\n", "cfg_set = few.get_config_setter(reset=True)\n", "\n", "# Uncomment if you want to force CPU or GPU usage\n", "# Leave commented to let FEW automatically select the best available hardware\n", "# - To force CPU usage:\n", "# cfg_set.enable_backends(\"cpu\")\n", "# - To force GPU usage with CUDA 12.x\n", "# cfg_set.enable_backends(\"cuda12x\", \"cpu\")\n", "# - To force GPU usage with CUDA 11.x\n", "# cfg_set.enable_backends(\"cuda11x\", \"cpu\")\n", "\n", "cfg_set.set_log_level(\"info\");" ] }, { "cell_type": "code", "execution_count": 2, "id": "83439f10-616e-4712-929c-a37256b9e18e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from few.trajectory.inspiral import EMRIInspiral\n", "from few.trajectory.ode import SchwarzEccFlux\n", "from few.amplitude.romannet import RomanAmplitude\n", "from few.summation.interpolatedmodesum import InterpolatedModeSum\n", "from few.utils.ylm import GetYlms\n", "from few.utils.constants import YRSID_SI\n", "\n", "M = 1e6\n", "mu = 1e1\n", "p0 = 12.0\n", "e0 = 0.4\n", "theta = np.pi / 5.0\n", "phi = np.pi / 3.0\n", "T = 0.001\n", "dt = 10.0\n", "Tsec = T * YRSID_SI\n", "\n", "traj = EMRIInspiral(func=SchwarzEccFlux)\n", "amp = RomanAmplitude()\n", "interpolate_mode_sum = InterpolatedModeSum()\n", "ylm_gen = GetYlms(assume_positive_m=False)\n", "\n", "# very simplified waveform example\n", "\n", "# Schwarzschild\n", "a = 0.0\n", "xI0 = 1.0\n", "\n", "# get trajectory\n", "(t, p, e, x, Phi_phi, Phi_theta, Phi_r) = traj(M, mu, a, p0, e0, xI0, T=T, dt=dt)\n", "\n", "ylms = ylm_gen(amp.unique_l, amp.unique_m, theta, phi).copy()[amp.inverse_lm]\n", "\n", "# amplitudes\n", "teuk_modes = amp(a, p, e, x, amp.l_arr, amp.m_arr, amp.n_arr)\n", "\n", "# need to prepare arrays for sum with all modes due to +/- m setup\n", "ls = amp.l_arr[: teuk_modes.shape[1]]\n", "ms = amp.m_arr[: teuk_modes.shape[1]]\n", "ns = amp.n_arr[: teuk_modes.shape[1]]\n", "\n", "keep_modes = np.arange(teuk_modes.shape[1])\n", "temp2 = keep_modes * (keep_modes < amp.num_m0) + (keep_modes + amp.num_m_1_up) * (\n", " keep_modes >= amp.num_m0\n", ")\n", "\n", "ylmkeep = np.concatenate([keep_modes, temp2])\n", "ylms_in = ylms[ylmkeep]\n", "teuk_modes_in = teuk_modes\n", "\n", "# summation\n", "waveform1 = interpolate_mode_sum(\n", " t,\n", " teuk_modes_in,\n", " ylms_in,\n", " traj.integrator_spline_t,\n", " traj.integrator_spline_phase_coeff[:, [0, 2]],\n", " amp.m_arr,\n", " amp.n_arr,\n", " dt=dt,\n", " T=T,\n", ")\n", "\n", "plt.plot(waveform1.real)\n", "plt.plot(waveform1.imag)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "77201255-e041-4db1-b069-21ed7581337e", "metadata": {}, "source": [ "### Direct summation\n", "\n", "For the direct mode summation, [DirectModeSum](https://mikekatz04.github.io/FastEMRIWaveforms/html/user/sum.html?highlight=interpolated%20mode%20sum#few.summation.directmodesum.DirectModeSum), we are summing up all modes at each time step directly. So, no interpolation. However, in this example, we will use interpolation up front because we need amplitude and phase arrays at all time steps for the direct mode sum because the direct mode sum will not fill in time steps like the interpolated mode sum. " ] }, { "cell_type": "code", "execution_count": 3, "id": "e1c9e6ea-44ba-4249-b4ac-c104c3ce7be6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mismatch: 2.220446049250313e-16\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from few.summation.interpolatedmodesum import CubicSplineInterpolant\n", "from few.summation.directmodesum import DirectModeSum\n", "from few.utils.utility import get_mismatch\n", "\n", "interp_in = np.zeros((teuk_modes.shape[1] * 2, teuk_modes.shape[0]))\n", "\n", "interp_in[: teuk_modes.shape[1], :] = teuk_modes.T.real\n", "interp_in[teuk_modes.shape[1] :, :] = teuk_modes.T.imag\n", "\n", "spline = CubicSplineInterpolant(t, interp_in)\n", "\n", "# get new values\n", "t_new = np.arange(t[0], t[-1], dt)\n", "\n", "interp_in2 = np.zeros((3, teuk_modes.shape[0]))\n", "interp_in2[0] = Phi_phi\n", "interp_in2[1] = Phi_theta\n", "interp_in2[2] = Phi_r\n", "\n", "spline2 = CubicSplineInterpolant(t, interp_in2)\n", "\n", "Phi_phi_in, Phi_theta_in, Phi_r_in = spline2(t_new)\n", "\n", "# notice the new shape is (ninterps, length) just like the inital input to the spline\n", "temp = spline(t_new).T\n", "\n", "\n", "teuk_modes_in = temp[:, : teuk_modes.shape[1]] + temp[:, teuk_modes.shape[1] :] * 1j\n", "\n", "direct_mode_sum = DirectModeSum()\n", "\n", "waveform2 = direct_mode_sum(\n", " t,\n", " teuk_modes_in,\n", " ylms_in,\n", " t,\n", " [Phi_phi_in, Phi_theta_in, Phi_r_in],\n", " amp.m_arr[: teuk_modes.shape[1]],\n", " amp.n_arr[: teuk_modes.shape[1]],\n", " dt=dt,\n", " T=T,\n", ")\n", "plt.plot(t_new, waveform1.real)\n", "plt.plot(t_new, waveform2.real)\n", "\n", "print(\"Mismatch:\", get_mismatch(waveform1, waveform2))" ] } ], "metadata": { "kernelspec": { "display_name": "few-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 }