{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fitting Data and Making FOMs\n",
    "\n",
    "Here I will go through an example of how to fit data to a transfer function. Later this TF will be used to make a full system model.\n",
    "\n",
    "First imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Ian/Desktop/Research/GQuEST/2024/buzz/src/buzz/ssutil.py:1420: SyntaxWarning: assertion is always true, perhaps remove parentheses?\n",
      "  assert(orig_pole_zero_diff == new_pole_zero_diff, \"The number diffrence between the number of poles and zeros must be the same for the new P system as the old P system.\\n There is some problem with the movement of the poles and zeros in the P system.\")\n",
      "/Users/Ian/Desktop/Research/GQuEST/2024/buzz/src/buzz/ssutil.py:1436: SyntaxWarning: assertion is always true, perhaps remove parentheses?\n",
      "  assert(len(P_new_zeros) == len(P_new_poles), \"P_new_zeros and P_new_poles must have the same length\")\n",
      "/Users/Ian/Desktop/Research/GQuEST/2024/buzz/src/buzz/ssutil.py:1486: SyntaxWarning: assertion is always true, perhaps remove parentheses?\n",
      "  assert(iodutil.getNamespace(F1)!='F3', 'The namespace of F1 is F3. This will cause a conflict with the F3 system')\n",
      "/Users/Ian/Desktop/Research/GQuEST/2024/buzz/src/buzz/ssutil.py:1487: SyntaxWarning: assertion is always true, perhaps remove parentheses?\n",
      "  assert(iodutil.getNamespace(F2)!='F3', 'The namespace of F2 is F3. This will cause a conflict with the F3 system')\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import control\n",
    "import scipy.signal as signal\n",
    "from scipy import interpolate\n",
    "import scipy.linalg\n",
    "from scipy.stats import gmean\n",
    "import gwinc\n",
    "import yaml\n",
    "from wield.iirrational.v2 import data2filter\n",
    "from wield.control.AAA import tfAAA\n",
    "from wield.utilities.file_io import load, save\n",
    "from wield.control.ss_bare.ss import BareStateSpace\n",
    "from scipy.signal import cheby2\n",
    "from wield.control import SISO\n",
    "from buzz import ssutil\n",
    "from physunits import m, s, kg, Hz\n",
    "from scipy.constants import c, G"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting the LIGO Sensitivity Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Power Spectral Density [strain/hz]')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f_Hz = np.geomspace(1e-2, 1e4, 2000)\n",
    "budget = gwinc.load_budget('aLIGO', freq=f_Hz)\n",
    "trace_PSD = budget.run(freq=f_Hz).psd\n",
    "\n",
    "plt.title(\"ALIGO BUDGET\")\n",
    "plt.loglog(f_Hz, trace_PSD)\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Power Spectral Density [strain/hz]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lastly for this step we will combine the twu curves to make a FOM. we divide the BNS PSD by the LIGO Noise spectrum without the controls noise. From the paper:\n",
    "$$\\mathrm{SNR}^2 = 4\\int_{0}^{\\infty} \\frac{\\left |h_\\mathrm{gw}(f)\\right |^2}{S_h(f)} df$$\n",
    "\n",
    "where $S_h(f)$ is the noise spectrum of the detector. This can be written as:\n",
    "\n",
    "$$ S_h(f) = S_{\\mathrm{det}}(f) + |C(f)|^2 S_{\\mathrm{p}}(f)$$\n",
    "\n",
    "where $S_{\\mathrm{det}}(f)$ is the detector noise spectrum without controls noise, $S_{\\mathrm{p}}(f)$ is the control noise spectrum, and $C(f)$ is the coupling function from the controls noise in the control loop to DARM. By using the taylor series of A/(B+x) to linearize the integral. i.e.:\n",
    "\n",
    "$$\\frac{A}{B+x}=\\frac{A}{B} - \\frac{Ax}{B^2} + \\frac{Ax^2}{B^3} - \\frac{Ax^3}{B^4} + \\frac{Ax^4}{B^5} - \\frac{Ax^5}{B^6} + O(x^6)$$\n",
    "\n",
    "taking the first two terms of the taylor series and applying it to the SNR equation we get:\n",
    "\n",
    "$$\\mathrm{SNR}^2 = 4\\int_{0}^{\\infty} \\frac{\\left | h_{\\mathrm{signal}}(f)\\right |^2}{S_{\\mathrm{det}}(f)} \\ df - 4\\int_{0}^{\\infty} \\frac{\\left |C\\right |^2\\left | h_{\\mathrm{signal}}(f)\\right |^2 }{S_{\\mathrm{det}}(f)^2}  S_{\\mathrm{p}}(f) \\ df$$\n",
    "\n",
    "To get range we need to use the $\\mathrm{SNR}$ not the $\\mathrm{SNR}^2$ so we take the square root of the above equation which has a different linearization. as $A \\rightarrow \\infty$ \n",
    "\n",
    "$$\\sqrt{A+B} = \\sqrt{A} \\sqrt{1+\\frac{B}{A}} = \\sqrt{A} (1+\\frac{B}{2 \\sqrt{A}})$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Frequency [Hz]')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from inspiral_range import inspiral_range as ir\n",
    "linearization_PSD = trace_PSD**2\n",
    "FOM_intgrand = ir.sensemon_range(f_Hz, psd=linearization_PSD, m1=1.4, m2=1.4, horizon=False, integrate=False, detection_snr=8)**2\n",
    "\n",
    "f_Hz = np.geomspace(1e-2, 1e4, 2000)\n",
    "budget = gwinc.load_budget('aLIGO', freq=f_Hz)\n",
    "trace_PSD = budget.run(freq=f_Hz).psd\n",
    "\n",
    "plt.title(\"ALIGO BUDGET\")\n",
    "plt.loglog(f_Hz, FOM_intgrand)\n",
    "plt.xlabel(\"Frequency [Hz]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.547336892714717e+25\n",
      "4.547336892714716e+25\n"
     ]
    }
   ],
   "source": [
    "print(ir.sensemon_range(f_Hz, psd=linearization_PSD, m1=1.4, m2=1.4, horizon=False, integrate=True, detection_snr=8))\n",
    "FOM_intgrand = ir.sensemon_range(f_Hz, psd=linearization_PSD, m1=1.4, m2=1.4, horizon=False, integrate=False, detection_snr=8)**2\n",
    "print(np.trapezoid(FOM_intgrand, f_Hz)**0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/wield/control/SISO/zpk.py:164: NumericalWarning: StateSpace is large (>50 states), using reduced response fiducial auditing heuristics. TODO to make this smarter\n",
      "  warnings.warn(f\"StateSpace is large (>{self.N_MAX_FID} states), using reduced response fiducial auditing heuristics. TODO to make this smarter\", util.NumericalWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Hand Fit the DARM**2 ZPK\n",
    "shift_sq = 0.8\n",
    "z_hand_sq = np.array([-0.07]*18) * 2 * np.pi * shift_sq\n",
    "mp_sq = -0.75 -0.075j\n",
    "mul_sq = 9\n",
    "p_hand_sq = np.array([mp_sq]*mul_sq + [np.real(mp_sq)-np.imag(mp_sq)*1j]*mul_sq)*2 * 2 * np.pi * shift_sq\n",
    "p_hand_sq = np.append(p_hand_sq, np.array([-150]*1 +[-300]*1 +[-700]*1 + [-7500]*1))\n",
    "k_hand_sq = 1e36\n",
    "\n",
    "##making steeper roll off\n",
    "mp_sq = mp_sq * 2.25\n",
    "p_hand_sq = np.append(p_hand_sq, np.array([mp_sq]*8 +[np.real(mp_sq)-np.imag(mp_sq)*1j]*8+ [-1]*8)* 2 * np.pi * shift_sq)\n",
    "z_hand_sq = np.append(z_hand_sq, np.array([-1]*24)* 2 * np.pi * shift_sq)\n",
    "\n",
    "#k_hand_sq = k_hand_sq *1e9\n",
    "\n",
    "import matplotlib\n",
    "plt.rcdefaults()\n",
    "matplotlib.rc('font',**{'family':'serif','serif':['Times'], 'size':16})\n",
    "matplotlib.rc('text', usetex=True)\n",
    "matplotlib.rc('lines', **{'ls':'-'})\n",
    "\n",
    "plt.style.use('dark_background')\n",
    "\n",
    "#plt.loglog(F_bug, Div_PSD**0.5, label = \"Full FOM ASD\")\n",
    "plt.loglog(f_Hz, FOM_intgrand**0.5, label = \"Downsampled FOM from ASD\", color='red')\n",
    "#plt.loglog(F_Hz, abs(TF_all), label = 'ALL ZPK Fit Bary. (order {})'.format(results.order))\n",
    "fq_plot = np.logspace(-2, 5, 10000)\n",
    "\n",
    "\n",
    "hand_sys = SISO.zpk(z_hand_sq, p_hand_sq, k_hand_sq, convention='IIRrational')\n",
    "#fr_hand = hand_sys.fresponse(f=fq_plot)\n",
    "fr_hand = hand_sys.fresponse(f=f_Hz)\n",
    "\n",
    "#plt.loglog(-np.real(p_hand_sq), np.array([1e27]*len(p_hand_sq)), color='black', linestyle='', marker='o')\n",
    "#plt.loglog(-np.real(z_hand_sq), np.array([1e27]*len(z_hand_sq)), color='r', linestyle='', marker='x')\n",
    "plt.loglog(*fr_hand.fplot_mag, label = 'BNS FOM', color='dodgerblue')\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"ASD\")\n",
    "plt.xlim(1e-2, 1e3)\n",
    "\n",
    "grayrgb = 200 /1.5\n",
    "plt.grid(True, which='both', color=[grayrgb/255,grayrgb/255,grayrgb/255], linestyle='-', linewidth=0.5, alpha=0.5)\n",
    "plt.legend(fontsize=12)\n",
    "\n",
    "plt.savefig('plots/FOM_BNS_fit.pdf', bbox_inches='tight')\n",
    "plt.savefig('plots/FOM_BNS_fit.svg', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we calculate what this spectrum will look like from this FOM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "LLO_O4_DARM = np.loadtxt('O4_data/L1_darm_measured.txt').T\n",
    "LLO_O4_DARM_known = np.loadtxt('O4_data/L1_darm_known_measured.txt').T\n",
    "LLO_O4_SUS_damping = np.loadtxt('O4_data/L1_sus_damping.txt').T\n",
    "\n",
    "L_arm = 3995\n",
    "\n",
    "BNS_range_inv = ir.sensemon_range(f_Hz, psd=np.ones_like(f_Hz), m1=1.4, m2=1.4, horizon=False, integrate=False, detection_snr=8)**2\n",
    "det_PSD_from_FOM = ((BNS_range_inv)/fr_hand.mag**2)**0.5\n",
    "plt.loglog(f_Hz, trace_PSD**0.5*L_arm , label = 'Detector Spectrum from GWINC', color='green')\n",
    "# plt.loglog(LLO_O4_DARM[0], LLO_O4_DARM[1]*L_arm , label = 'Measured DARM LLO O4', color='red')\n",
    "plt.loglog(LLO_O4_SUS_damping[0], LLO_O4_SUS_damping[1]*L_arm , label = 'SUS Damping', color='orange')\n",
    "plt.loglog(LLO_O4_DARM_known[0], LLO_O4_DARM_known[1]*L_arm , label = 'Measured Known noises LLO O4', color='white')\n",
    "plt.loglog(f_Hz, det_PSD_from_FOM**0.5*L_arm , label = 'FOM Optimization Spectra', color='dodgerblue')\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"DARM [m/rtHz]\")\n",
    "\n",
    "plt.ylim([3e-21, 1e-16])\n",
    "plt.xlim([9e0, 3e1])\n",
    "\n",
    "grayrgb = 200 /1.5\n",
    "plt.grid(True, which='both', color=[grayrgb/255,grayrgb/255,grayrgb/255], linestyle='-', linewidth=0.5, alpha=0.5)\n",
    "plt.legend(loc='upper right', fontsize=12)\n",
    "\n",
    "plt.savefig('plots/FOM_spectra.pdf', bbox_inches='tight')\n",
    "plt.savefig('plots/FOM_spectra.svg', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will save our result so it can be loaded by the make full system example file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 940x680 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out_z = z_hand_sq\n",
    "out_p = p_hand_sq\n",
    "out_k = k_hand_sq\n",
    "\n",
    "pre_save_sys = SISO.zpk(out_z, out_p, out_k, convention='IIRrational')\n",
    "from wield.utilities.mpl import mplfigB\n",
    "plotting_omega = np.logspace(-2, 4, 1000)\n",
    "plt.close()\n",
    "axB = mplfigB(Nrows = 2)\n",
    "fr = pre_save_sys.fresponse(f=plotting_omega)\n",
    "axB.ax0.loglog(*fr.fplot_mag, label='test')\n",
    "axB.ax1.semilogx(*fr.fplot_deg225, label='test')\n",
    "\n",
    "\n",
    "sys_save = SISO.zpk(out_z, out_p, out_k, convention='IIRrational')\n",
    "assert(ssutil.isStable(sys_save))\n",
    "zpk_dict = {\n",
    "            'z' : [str(zero) for zero in np.asarray(tuple(sys_save.z)).tolist()],\n",
    "            'p' : [str(pole) for pole in np.asarray(tuple(sys_save.p)).tolist()],\n",
    "            'k' : float(sys_save.k)\n",
    "            }\n",
    "\n",
    "#save('BNS_FOM_IR.yml', zpk_dict) #Uncomment to save the ZPK"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now it is saved. To open it use the following code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.float64'>\n",
      "49\n",
      "52\n"
     ]
    }
   ],
   "source": [
    "with open('BNS_FOM.yml', 'r') as file:\n",
    "    filt_dict = yaml.safe_load(file)\n",
    "p = np.array(filt_dict['p'], dtype=np.complex128)\n",
    "z = np.array(filt_dict['z'], dtype=np.complex128)\n",
    "k = np.float64(filt_dict['k'])\n",
    "print(type(k))\n",
    "print(len(z))\n",
    "print(len(p))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "controls",
   "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": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
