{ "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 an interpolated summation (that is additionally parallelised on the GPU). This class is [InterpolatedModeSum](https://bhptoolkit.org/FastEMRIWaveforms/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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", 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" ] }, "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", "m1 = 1e6 # primary mass (solar masses)\n", "m2 = 1e1 # secondary mass (solar masses)\n", "p0 = 12.0 # initial (dimensionless) semi-latus rectum\n", "e0 = 0.4 # initial eccentricity\n", "theta = np.pi / 5.0 # CHECK\n", "phi = np.pi / 3.0 # CHECK\n", "T = 0.001 # observing time (years)\n", "dt = 10.0 # time sampling interval (seconds)\n", "Tsec = T * YRSID_SI # observing time (converted to seconds)\n", "\n", "traj = EMRIInspiral(func=SchwarzEccFlux)\n", "amp = RomanAmplitude()\n", "interpolate_mode_sum = InterpolatedModeSum()\n", "ylm_gen = GetYlms(include_minus_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(m1, m2, 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", "# get amplitudes\n", "teuk_modes = amp(a, p, e, x, amp.l_arr, amp.m_arr, amp.k_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", "ks = amp.k_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", ") # amp.num_m0 gives number of modes with m == 0, amp.num_m_1_up gives number of modes with m > 0\n", "\n", "ylmkeep = np.concatenate([keep_modes, temp2])\n", "ylms_in = ylms[ylmkeep]\n", "teuk_modes_in = teuk_modes\n", "\n", "# perform 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,\n", " ls,\n", " ms,\n", " ks,\n", " ns,\n", " dt=dt,\n", " T=T,\n", ")\n", "\n", "plt.plot(waveform1.real, label=\"Real\")\n", "plt.plot(waveform1.imag, label=\"Imag\")\n", "plt.legend(loc=\"lower left\")" ] }, { "attachments": {}, "cell_type": "markdown", "id": "77201255-e041-4db1-b069-21ed7581337e", "metadata": {}, "source": [ "### Direct summation\n", "\n", "For the direct mode summation, [DirectModeSum](https://bhptoolkit.org/FastEMRIWaveforms/user/sum.html#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": [], "source": [ "from few.summation.interpolatedmodesum import CubicSplineInterpolant\n", "from few.summation.directmodesum import DirectModeSum\n", "from few.utils.utility import get_mismatch\n", "\n", "# full time grid\n", "t_new = np.arange(t[0], t[-1], dt)\n", "\n", "# interpolate amplitudes onto full time grid\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", "# notice the new shape is (ninterps, length) just like the inital input to the spline\n", "temp = spline(t_new).T\n", "teuk_modes_in = temp[:, : teuk_modes.shape[1]] + temp[:, teuk_modes.shape[1] :] * 1j\n", "\n", "# interpolate phase arrays onto full time grid\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", "Phi_phi_in, Phi_theta_in, Phi_r_in = spline2(t_new)\n", "\n", "# perform mode summation directly\n", "direct_mode_sum = DirectModeSum()\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.l_arr[: teuk_modes.shape[1]],\n", " amp.m_arr[: teuk_modes.shape[1]],\n", " amp.k_arr[: teuk_modes.shape[1]],\n", " amp.n_arr[: teuk_modes.shape[1]],\n", " dt=dt,\n", " T=T,\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "f61311d3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# comparison plot: direct vs interpolated summation\n", "plt.plot(t_new, waveform1.real, label=\"Interpolated summation\")\n", "plt.plot(t_new, waveform2.real, '--', label=\"Direct summation\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 5, "id": "39a6e8d3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mismatch: -2.220446049250313e-16\n" ] } ], "source": [ "# compute the mismatch between the direct and interpolated mode sum waveforms:\n", "print(\"Mismatch:\", get_mismatch(waveform1, waveform2))" ] } ], "metadata": { "kernelspec": { "display_name": "few-env", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }