{
 "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": 2,
   "metadata": {},
   "outputs": [],
   "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": [
    "Next we will define a function to grab the BNS waveform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# from https://github.com/wield/wield-control/blob/main/src/wield/control/AAA/test/test_AAA_present.py\n",
    "def gen_waveform(**params):\n",
    "    \"\"\"Generate frequency-domain inspiral waveform\n",
    "\n",
    "    Returns a tuple of (freq, h_plus^tilde, h_cross^tilde).\n",
    "\n",
    "    The waveform is generated with the lalsimulation\n",
    "    SimInspiralChooseFDWaveform() function.  Keyword arguments are\n",
    "    used to update the default waveform parameters (see DEFAULT_PARAMS\n",
    "    macro).  The mass parameters ('m1' and 'm2') should be specified\n",
    "    in solar masses and the 'distance' parameter should be specified\n",
    "    in parsecs**.  Waveform approximants may be given as string names\n",
    "    (see `lalsimulation` documentation for more info).\n",
    "\n",
    "    For example, to generate a 20/20 Msolar BBH waveform:\n",
    "\n",
    "    >>> hp,hc = waveform.gen_waveform('m1'=20, 'm2'=20)\n",
    "\n",
    "    **NOTE: The requirement that masses be specified in solar masses\n",
    "    and distances in parsecs is different than that of the underlying\n",
    "    lalsimulation method which expects mass and distance parameters to\n",
    "    be in SI units.\n",
    "\n",
    "    \"\"\"\n",
    "    import lalsimulation\n",
    "    from inspiral_range import waveform\n",
    "    from inspiral_range import const\n",
    "\n",
    "    iparams = dict(waveform.DEFAULT_PARAMS)\n",
    "    iparams.update(**params)\n",
    "\n",
    "    # convert to SI units\n",
    "    iparams[\"distance\"] *= const.PC_SI\n",
    "    iparams[\"m1\"] *= const.MSUN_SI\n",
    "    iparams[\"m2\"] *= const.MSUN_SI\n",
    "    iparams[\"approximant\"] = lalsimulation.SimInspiralGetApproximantFromString(\n",
    "        iparams[\"approximant\"]\n",
    "    )\n",
    "\n",
    "    m = iparams[\"m1\"] + iparams[\"m2\"]\n",
    "\n",
    "    # calculate delta F based on frequency of inner-most stable\n",
    "    # circular orbit (\"fisco\")\n",
    "    fisco = (const.c ** 3) / (const.G * (6 ** 1.5) * 2 * np.pi * m)\n",
    "    df = 2 ** (np.max([np.floor(np.log(fisco / 4096) / np.log(2)), -6]))\n",
    "\n",
    "    # FIXME: are these limits reasonable?\n",
    "    if iparams[\"deltaF\"] is None:\n",
    "        iparams[\"deltaF\"] = df\n",
    "    # iparams['f_min'] = 0.1\n",
    "    # iparams['f_max'] = 10000\n",
    "\n",
    "    hp, hc = lalsimulation.SimInspiralChooseFDWaveform(**iparams)\n",
    "    \n",
    "    freq = hp.f0 + np.arange(len(hp.data.data)) * hp.deltaF\n",
    "\n",
    "    print(\"f0\", hp.f0)\n",
    "    select = abs(hp.data.data) > 0\n",
    "\n",
    "    return freq[select], hp.data.data[select], hc.data.data[select]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we will define the parameters of our BNS model and plot its PSD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "f0 0.0\n",
      "F_Hz max 14501.800000000001\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "params = dict()\n",
    "params[\"m1\"] = 1.4\n",
    "params[\"m2\"] = 1.4\n",
    "# rest of params from first BNS detection see https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.119.161101\n",
    "params[\"f_min\"] = 0.01\n",
    "params[\"f_max\"] = 1000000\n",
    "params[\"deltaF\"] = 0.01\n",
    "params[\"distance\"] = 1e6\n",
    "F_Hz, hp, hc = gen_waveform(**params) # assuming that this is giving an ASD I.M. Jan 2024\n",
    "\n",
    "BNS_intrp = interpolate.interp1d(F_Hz, abs(hp)**2) ## we add interpolation to put all of our data with the same FQ spacing\n",
    "\n",
    "print(\"F_Hz max\", max(F_Hz))\n",
    "\n",
    "plt.loglog(F_Hz, abs(hp)**2, label = \"hp\")\n",
    "plt.loglog(F_Hz, abs(hc)**2, linestyle = \":\", label = \"hc\")\n",
    "plt.title(str(params[\"m1\"]) +\"/\"+str(params[\"m1\"])+ \"Solarmass BNS Spec\")\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Power spectral density [strain^2/Hz^2]\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chirpmass: \t 2.423423336413827e+30  kg\n",
      "\t\t 1.2187707886145691  solar masses\n"
     ]
    }
   ],
   "source": [
    "# # compare the waveform with part of equation 3 from https://arxiv.org/abs/1709.08079\n",
    "m1 = (params[\"m1\"] * 1.988416e30) * kg\n",
    "m2 = (params[\"m2\"] * 1.988416e30) * kg\n",
    "chirp_mass = (m1*m2)**(3/5)/(m1+m2)**(1/5)\n",
    "print('chirpmass: \\t', chirp_mass, ' kg\\n\\t\\t', chirp_mass/1.988416e30, ' solar masses')\n",
    "\n",
    "\n",
    "# N = kg* m/(s**2)\n",
    "# c = c * m/s\n",
    "# G = G * N * m**2 / (kg**2)\n",
    "# F_Hz = F_Hz * Hz\n",
    "# eq3 = ((5/24)**0.5 * c * ( G * chirp_mass * (c**-3))**(5/6)* 1/(np.pi**(2/3)))**2 * F_Hz**(-7/3)\n",
    "# m2Mpc = 1/3.086e22\n",
    "# eq3_Mpc = eq3 * m2Mpc\n",
    "\n",
    "# print(\"eq3[0]\", eq3[0])\n",
    "# print(\"eq3_Mpc[0]\", eq3_Mpc[0])\n",
    "\n",
    "# print(\"BNS hp[0]\", abs(hp[0])**2)\n",
    "\n",
    "# plt.loglog(F_Hz, eq3_Mpc, label=\"eq3\")\n",
    "# plt.loglog(F_Hz, abs(hp)**2, label=\"BNS Strain from LAL Simulation\")\n",
    "# plt.title(str(params[\"m1\"]) +\"/\"+str(params[\"m1\"])+ \"Solarmass BNS Spec\")\n",
    "# plt.xlabel(\"Frequency [Hz]\")\n",
    "# plt.ylabel(\"Power spectral density [strain^2/Hz^2]\")\n",
    "# plt.legend()\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting the LIGO Sensitivity Curve\n",
    "\n",
    "Now I must multiply this by the GWINC curve to get our final FOM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Power Spectral Density [strain/hz]')"
      ]
     },
     "execution_count": 6,
     "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_bug = np.logspace(np.log10(min(F_Hz)), np.log10(max(F_Hz)-1), 10000)\n",
    "budget = gwinc.load_budget('aLIGO', freq=F_bug)\n",
    "trace = budget.run(freq=F_bug)\n",
    "\n",
    "plt.title(\"ALIGO BUDGET\")\n",
    "plt.loglog(F_bug, trace.psd)\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Power Spectral Density [strain/hz]\")\n",
    "# plt.xlim([6, max(F_Hz)])\n",
    "# plt.ylim([1e-20, 1e-17])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eq3:  4.8671221455438923e+92  Mpc\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/mg/zt3ys6wx6dv2lp4fp2v08nn80000gn/T/ipykernel_49986/2399436929.py:2: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.\n",
      "  I7 = np.trapz(F_bug**(-7/3)/trace.psd, F_bug)\n"
     ]
    }
   ],
   "source": [
    "prefactor = (2*(5/96)**0.5 * c * ( G * chirp_mass * (c**3))**(5/6) * 1/(np.pi**(-2/3))* 2 / 2.26)**2 \n",
    "I7 = np.trapz(F_bug**(-7/3)/trace.psd, F_bug)\n",
    "eq3 = prefactor * I7**0.5\n",
    "print(\"eq3: \", eq3/3.086e22, ' Mpc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from inspiral_range import inspiral_range as ir\n",
    "from inspiral_range import waveform\n",
    "from inspiral_range import const\n",
    "\n",
    "DETECTION_SNR = 8.0\n",
    "def ian_sensemon_range(freq, m1=1.4, m2=1.4, horizon=False, integrate=False, detection_snr=DETECTION_SNR):\n",
    "    \"\"\"Detector inspiral range from closed form expression\n",
    "\n",
    "    Masses `m1` and `m2` should be specified in solar masses (default:\n",
    "    m1=m2=1.4).  If the `horizon` keyword is specified the \"horizon\"\n",
    "    range will be returned, which differs from the angle-averaged\n",
    "    range by ~2.26.\n",
    "\n",
    "    @returns distance in Mpc as a float\n",
    "\n",
    "    \"\"\"\n",
    "    if horizon:\n",
    "        theta = 4\n",
    "    else:\n",
    "        theta = 1.77\n",
    "    theta /= 1e6 * const.PC_SI\n",
    "    M_chirp = waveform.M_chirp(m1, m2) * const.MSUN_SI\n",
    "\n",
    "    i73 = freq ** (-7/3)\n",
    "    val = theta / detection_snr \\\n",
    "        * waveform.habs_nsp_prefactor(M_chirp) \\\n",
    "        * np.sqrt(i73) / 2\n",
    "\n",
    "    return val\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "range:  194.97356835627136\n",
      "relative difference:  15.834426262915697\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "irdata = ian_sensemon_range(F_bug, integrate=False, horizon=True)**2\n",
    "\n",
    "range_ir = ir.sensemon_range(F_bug, psd=trace.psd, m1=1.4, m2=1.4, horizon=False, integrate=True, detection_snr=DETECTION_SNR)\n",
    "print(\"range: \", range_ir)\n",
    "\n",
    "#np.savetxt('FBNS_Current_range.txt', [range])\n",
    "\n",
    "BNS_PSD = BNS_intrp(F_bug)\n",
    "IR_interp = interpolate.interp1d(F_bug, irdata)\n",
    "\n",
    "midpoint = len(F_bug)//2\n",
    "print('relative difference: ', BNS_PSD[midpoint]/irdata[midpoint])\n",
    "\n",
    "\n",
    "plt.loglog(F_bug, BNS_PSD)\n",
    "plt.loglog(F_bug, irdata)\n",
    "plt.scatter(F_bug[midpoint], BNS_PSD[midpoint])\n",
    "plt.scatter(F_bug[midpoint], irdata[midpoint])\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Power spectral density\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choose which inspiral waveform PSD to use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#BNS_PSD = BNS_intrp(F_bug) # us the custom inspiral equatin from LAL\n",
    "BNS_PSD = IR_interp(F_bug) # use the inspiral range aproximation and calibration "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I will put the BNS waveform in the Fq space of the GWINC curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BNS_PSD [2.45847170e-35 2.45034599e-35 2.44224714e-35 ... 1.03982336e-49\n",
      " 1.03638655e-49 1.03296110e-49]\n",
      "irdata [2.45847170e-35 2.45034599e-35 2.44224714e-35 ... 1.03982336e-49\n",
      " 1.03638655e-49 1.03296110e-49]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Power spectral density')"
      ]
     },
     "execution_count": 11,
     "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": [
    "print(\"BNS_PSD\", BNS_PSD)\n",
    "print(\"irdata\", irdata)\n",
    "plt.loglog(F_bug, BNS_PSD)\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Power spectral density\")"
   ]
  },
  {
   "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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'PSD of FOM for BNS Signal')"
      ]
     },
     "execution_count": 12,
     "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": [
    "Div_PSD = BNS_PSD / (trace.psd)**2 # divide the BNS PSD by the aLIGO noise psd squared. this will give a PSD of LIGO's sensitivity to a BNS signal\n",
    "#Div_PSD = Div_PSD * 4000**2 # to put it in units of displacement\n",
    "F_Div = F_bug\n",
    "plt.loglog(F_Div, Div_PSD)\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Power spectral density\")\n",
    "plt.title(\"PSD of FOM for BNS Signal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fitting the Data to a Transfer Function\n",
    "\n",
    "First we will Define a function to reduce the number of points to fit to"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# edited from https://git.ligo.org/wield/wield-ligo-mcculler/-/blob/main/src/wield/LIGO/mcculler/filter_cavity/test_FC1_SUSPOINT_fits.py\n",
    "def reduce(F_Hz, PSD):\n",
    "    F_groups = np.logspace(-2, 4, 50) # originally 200 length\n",
    "    F_groups = np.geomspace(min(F_Hz), max(F_Hz), 50) # originally 200 length\n",
    "    \n",
    "    idx_groups = np.searchsorted(F_Hz, F_groups)\n",
    "    idx_pairs = list(zip(idx_groups[:-1], idx_groups[1:]))\n",
    "\n",
    "    lPSDs_min = []\n",
    "    lPSDs_max = []\n",
    "    lPSDs_med = []\n",
    "    lPSDs_mean = []\n",
    "    lF_Hz = []\n",
    "    for idx1, idx2 in idx_pairs:\n",
    "        if idx1 == idx2:\n",
    "            continue\n",
    "        lPSDs_max.append(\n",
    "            np.nanmax(PSD[idx1:idx2])\n",
    "        )\n",
    "        lPSDs_med.append(\n",
    "            np.nanmedian(PSD[idx1:idx2])\n",
    "        )\n",
    "        lPSDs_min.append(\n",
    "            np.nanmin(PSD[idx1:idx2])\n",
    "        )\n",
    "        lPSDs_mean.append(\n",
    "            np.nanmean(PSD[idx1:idx2])\n",
    "        )\n",
    "        lF_Hz.append(np.mean(F_Hz[idx1:idx2]))\n",
    "\n",
    "    return np.asarray(lF_Hz), np.asarray(lPSDs_min), np.asarray(lPSDs_med), np.asarray(lPSDs_max), np.asarray(lPSDs_mean)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will reduce the LIGO sensitivity curve and its reduced form"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x16ca8e8c0>"
      ]
     },
     "execution_count": 14,
     "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_FOM_dwn, PSD_min, PSD_med, PSD_max, PSD_mean = reduce(F_bug, Div_PSD)\n",
    "FOM_PSD = PSD_mean\n",
    "# The current form of FOM_PSD is the ASD\n",
    "FOM_ASD = FOM_PSD**0.5\n",
    "\n",
    "plt.loglog(F_bug, Div_PSD**0.5, label = 'FOM ASD')\n",
    "plt.loglog(F_FOM_dwn, FOM_ASD, label = 'Downsampled FOM ASD')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will define some functions to work with these transfer functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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",
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/slycot/exceptions.py:241: SlycotResultWarning: \n",
      "The selected order 44 is greater\n",
      "than `nsmin`, the sum of the order of the\n",
      "0-unstable part and the order of a minimal\n",
      "realization of the 0-stable part of the given\n",
      "system. The resulting `nr`  is set to `nsmin` = 33\n",
      "  warn(globals()[warning](fmessage, iwarn, info))\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x14f5f00a0>"
      ]
     },
     "execution_count": 15,
     "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": [
    "def FBNSsimpSS(gain=1, return_name=False, lo_ord=4):\n",
    "    if return_name:\n",
    "        name = \"FOM BNS Simple\"\n",
    "        return name\n",
    "    F_Fq_lo = 10 * 2 * np.pi\n",
    "    F_Fq_hi = 120 * 2 * np.pi\n",
    "    hp_order = lo_ord\n",
    "    lp_order = 2\n",
    "    F_p = []\n",
    "    F_z = []\n",
    "    for ord in range(hp_order):\n",
    "        F_p.append(-F_Fq_lo + 0*1j*F_Fq_lo)\n",
    "        F_p.append(-F_Fq_lo - 0*1j*F_Fq_lo)\n",
    "        F_z.append(0)\n",
    "        F_z.append(0)\n",
    "\n",
    "    for ord in range(lp_order):\n",
    "        F_p.append(-F_Fq_hi)\n",
    "    F_k = 1\n",
    "    c_zpk = cheby2(8, 170, 1.25*2*np.pi, btype='high', analog=True, output='zpk')\n",
    "    F_z.extend(c_zpk[0])\n",
    "    F_p.extend(c_zpk[1])\n",
    "    F_k *= c_zpk[2]\n",
    "\n",
    "    ian_lfq = -0.7\n",
    "    ian_lfq2 = 2\n",
    "    ian_lfq3 = 0.5\n",
    "    F_z.append(0)\n",
    "    F_p.append(ian_lfq)\n",
    "    F_z.append(0)\n",
    "    F_p.append(ian_lfq)\n",
    "\n",
    "    F_z.append(ian_lfq3)\n",
    "    F_z.append(ian_lfq3)\n",
    "    F_p.append(ian_lfq2)\n",
    "    F_p.append(ian_lfq2)\n",
    "    \n",
    "    F_p = F_p\n",
    "    F_z = F_z\n",
    "\n",
    "    #F_mod = ws_tf2ss(F_z, F_p, F_k)\n",
    "    #F_mod = ssutil.normalize_gain(F_mod) * gain \n",
    "    #F_iod = {\"FBNS.in\": 0, \"FBNS.out\": 0}\n",
    "    F_mod = SISO.zpk(F_z, F_p, F_k, angular=True, fiducial_rtol=1e-5, fiducial_atol=1e-10)\n",
    "    F_mod = F_mod * F_mod\n",
    "    F_mod = F_mod.asSS\n",
    "    F_mod = F_mod / abs(F_mod.asSS.Linf_norm()[0]) \n",
    "\n",
    "\n",
    "    F_mod = F_mod * gain\n",
    "    F_mod.balance_and_truncate()\n",
    "\n",
    "    #F = ssutil.wieldSS(F_mod, F_iod)\n",
    "    \n",
    "    return F_mod.mimo(\"FBNS.in\", \"FBNS.out\")\n",
    "\n",
    "plt.loglog(F_bug, Div_PSD**0.5, label = 'FOM ASD')\n",
    "plt.loglog(F_FOM_dwn, FOM_ASD, label = 'Downsampled FOM ASD')\n",
    "mag, phase, omega = control.bode(FBNSsimpSS(gain=4 * 100**2).mod, Hz=False, plot=False, omega=F_FOM_dwn*2*np.pi, label = \"BNS Simple\")\n",
    "#plt.loglog(omega/(2*np.pi), mag, label=\"BNS Simple\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.signal import cheby2\n",
    "from wield.control import SISO\n",
    "\n",
    "def FBNSsimpSS(gain=1, return_name=False, lo_ord=4, return_scale=False):\n",
    "    if return_name:\n",
    "        name = \"FOM BNS Simple\"\n",
    "        return name\n",
    "    \n",
    "    F_Fq_lo = 40 * 2 * np.pi\n",
    "    # aggressive version\n",
    "    # F_Fq_lo = 30 * 2 * np.pi\n",
    "    F_Fq_hi = 300 * 2 * np.pi\n",
    "    hp_order = 1 #lo_ord\n",
    "    lp_order = 2\n",
    "    F_p = []\n",
    "    F_z = []\n",
    "    for ord in range(hp_order):\n",
    "        F_p.append(-F_Fq_lo + 0*1j*F_Fq_lo)\n",
    "        F_p.append(-F_Fq_lo - 0*1j*F_Fq_lo)\n",
    "        F_z.append(0)\n",
    "        F_z.append(0)\n",
    "    for ord in range(lp_order):\n",
    "        F_p.append(-F_Fq_hi)\n",
    "    F_k = gain * 1.5e19\n",
    "    c_zpk = cheby2(8, 160, 4*2*np.pi, btype='high', analog=True, output='zpk')\n",
    "    # aggressive version\n",
    "    # c_zpk = cheby2(8, 120, 4*2*np.pi, btype='high', analog=True, output='zpk')\n",
    "    F_z.extend(c_zpk[0])\n",
    "    F_p.extend(c_zpk[1])\n",
    "    F_k *= c_zpk[2]\n",
    "    \n",
    "    F = SISO.zpk(F_z, F_p, F_k)\n",
    "    return F*F\n",
    "sys_FBNS_simp = FBNSsimpSS()\n",
    "\n",
    "zpk_dict = {\n",
    "            'z' : [str(zero) for zero in np.asarray(tuple(sys_FBNS_simp.z)).tolist()],\n",
    "            'p' : [str(pole) for pole in np.asarray(tuple(sys_FBNS_simp.p)).tolist()],\n",
    "            'k' : float(sys_FBNS_simp.k)\n",
    "            }\n",
    "\n",
    "save('FBNSsimp_FOM.yml', zpk_dict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x3262ada50>"
      ]
     },
     "execution_count": 17,
     "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": [
    "with open('BNS_FOM_handfit.yml', 'r') as file:\n",
    "    filt_dict = yaml.safe_load(file)\n",
    "p_hand = np.array(filt_dict['p'], dtype=np.complex128)\n",
    "z_hand = np.array(filt_dict['z'], dtype=np.complex128)\n",
    "k_hand = np.float64(filt_dict['k'])\n",
    "\n",
    "hand_zpk = SISO.zpk(z_hand, p_hand, k_hand)\n",
    "hand_xfr = hand_zpk.fresponse(f=F_FOM_dwn)\n",
    "BNSsimp_xfr = sys_FBNS_simp.fresponse(f=F_FOM_dwn)\n",
    "\n",
    "plt.loglog(F_bug, Div_PSD**0.5, label = 'FOM ASD')\n",
    "plt.loglog(F_FOM_dwn, FOM_ASD, label = 'Downsampled FOM ASD')\n",
    "plt.loglog(F_FOM_dwn, hand_xfr.mag, label = 'Handfit ASD')\n",
    "plt.loglog(F_FOM_dwn, BNSsimp_xfr.mag, label = 'BNSSimp ASD')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x3265c1300>"
      ]
     },
     "execution_count": 18,
     "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": [
    "# Divide the FOM ASD by the hand fit to get the reduced ASD\n",
    "reduced_ASD = FOM_ASD/hand_xfr.mag\n",
    "\n",
    "plt.loglog(F_FOM_dwn, reduced_ASD, label = 'reduced ASD')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we form a guess of the TF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "#results = tfAAA(F_Hz=F_FOM_dwn, xfer=FOM_ASD)\n",
    "results = tfAAA(F_Hz=F_FOM_dwn, xfer=reduced_ASD)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we play with the poles and zeros to get a good fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2π·[-0.3958406743523140, -0.3958406743523140, -0.3958406743523140,\n",
      " -0.3958406743523140, -0.3958406743523140, -0.3958406743523140,\n",
      " -0.3958406743523140, -0.3958406743523140, -0.3958406743523140,\n",
      " -0.3958406743523140, -0.3958406743523140, -0.3958406743523140,\n",
      " -0.3958406743523140, -0.3958406743523140, -0.3958406743523140,\n",
      " -0.3958406743523140, -0.3958406743523140, -0.3958406743523140,\n",
      " -0.01203291268450893, -0.01203291245508902, -2.972731813094795e-10,\n",
      " -0.04867452063486528, -0.04867452070907659, -1.998523750481311,\n",
      " -1.998523750486431, -2665.214389252330, -2665.214389239281,\n",
      " -92.39465985988777     ± 57.24588444085094j,\n",
      " -92.39465986028216     ± 57.24588444036313j,\n",
      " -3.274971594925781e-14 ± 9.399266058512616j,\n",
      " -2.736440429942560e-13 ± 1.357591960953234j,\n",
      " -0.01049742774282587   ± 0.2673257560166767j,\n",
      " -0.01049742774343546   ± 0.2673257560021555j,\n",
      " -1.092192520377326e-12 ± 0.3543630287392169j,\n",
      " -0.2711283246749082    ± 2.729288190523091j,\n",
      " -0.2711283246761620    ± 2.729288190522066j,\n",
      " -13.03329719065969     ± 14.32232176510654j,\n",
      " -13.03329719064406     ± 14.32232176511557j]\n"
     ]
    }
   ],
   "source": [
    "#print(\"poles\", results.poles)\n",
    "#print(\"zeros\", results.zeros)\n",
    "#print(\"gain\", results.gain)\n",
    "\n",
    "all_z = results.zeros\n",
    "all_p = results.poles\n",
    "k = results.gain\n",
    "\n",
    "for i in range(0, len(all_z)):\n",
    "    if all_z[i] >= 0:\n",
    "        all_z[i] = -all_z[i]\n",
    "        \n",
    "for i in range(0, len(all_p)):\n",
    "    if all_p[i] >= 0:\n",
    "        all_p[i] = -all_p[i]\n",
    "\n",
    "AAA_zpk = SISO.zpk(all_z, all_p, k, angular=False, fiducial_rtol=1e-5, fiducial_atol=1e-10)\n",
    "recalibrated_zpk =  hand_zpk * AAA_zpk \n",
    "# recalibrated_zpk =  AAA_zpk \n",
    "print(recalibrated_zpk.zeros)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x3307ee1d0>"
      ]
     },
     "execution_count": 21,
     "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": [
    "plt.loglog(F_FOM_dwn, reduced_ASD, label = 'Reduced ASD')\n",
    "plt.loglog(F_bug, AAA_zpk.fresponse(f=F_bug).mag, label = 'AAA Fit', linestyle = '--')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 states have been removed from the model\n",
      "0 states have been removed from the model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/control/xferfcn.py:1047: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  den[j, :maxindex+1] = poly(poles[j])\n",
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/control/xferfcn.py:1077: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  num[i, j, maxindex+1-len(numpoly):maxindex+1] = numpoly\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# Get the ZPK and the minreal ZPK for all poles and zeros\n",
    "B_res_all = control.zpk(all_z, all_p, k)\n",
    "B_res_all_minreal = control.minreal(B_res_all)\n",
    "minreal_all_z, minreal_all_p, minreal_all_k = signal.tf2zpk(B_res_all_minreal.num[0][0], B_res_all_minreal.den[0][0])\n",
    "\n",
    "# Get only the real poles and zeros\n",
    "z = [lz for lz in all_z if lz.real < 0]\n",
    "p = [lp for lp in all_p if lp.real < 0]\n",
    "\n",
    "# Get the ZPK for the real poles and zeros and the minreal ZPK for only the real poles and zeros\n",
    "B_res = control.zpk(z, p, k)\n",
    "B_res_minreal = control.minreal(B_res)\n",
    "minreal_z, minreal_p, minreal_k = signal.tf2zpk(B_res_minreal.num[0][0], B_res_minreal.den[0][0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will plot our guess and our othe tfs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x330b8f790>"
      ]
     },
     "execution_count": 23,
     "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": [
    "_, TF_all = scipy.signal.freqs_zpk(all_z, all_p, k, worN = F_Hz)\n",
    "_, TF_minreal = scipy.signal.freqs_zpk(minreal_all_z, minreal_all_p, minreal_all_k, worN = F_Hz)\n",
    "\n",
    "recalibrated_zpk_xfr = recalibrated_zpk.fresponse(f=F_Hz)\n",
    "\n",
    "plt.loglog(F_bug, Div_PSD**0.5, label = 'Full FOM ASD')\n",
    "plt.loglog(F_FOM_dwn, hand_xfr.mag, label = 'Handfit ASD')\n",
    "plt.loglog(F_Hz, recalibrated_zpk_xfr.mag, label = 'Recalibrated AAA')\n",
    "plt.loglog(F_FOM_dwn, FOM_ASD, label = 'Downsampled FOM ASD')\n",
    "#plt.loglog(F_Hz, abs(TF_all), label = 'ALL ZPK Fit Bary. (order {})'.format(results.order))\n",
    "#plt.loglog(F_Hz, abs(TF_minreal), label = 'Minreal ALL ZPK Fit Bary.', linestyle = '--')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we fit for the poles and zeros"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.395840674352314), np.float64(-0.012032912684508928), np.float64(-0.01203291245508902), np.float64(-2.972731813094795e-10), np.float64(-0.048674520634865284), np.float64(-0.048674520709076595), np.float64(-1.9985237504813107), np.float64(-1.9985237504864306), np.float64(-2665.21438925233), np.float64(-2665.2143892392814), np.complex128(-92.39465985988777+57.245884440850936j), np.complex128(-92.39465985988777-57.245884440850936j), np.complex128(-92.39465986028216+57.24588444036313j), np.complex128(-92.39465986028216-57.24588444036313j), np.complex128(-3.274971594925781e-14+9.399266058512616j), np.complex128(-3.274971594925781e-14-9.399266058512616j), np.complex128(-2.73644042994256e-13+1.357591960953234j), np.complex128(-2.73644042994256e-13-1.357591960953234j), np.complex128(-0.010497427742825865+0.26732575601667674j), np.complex128(-0.010497427742825865-0.26732575601667674j), np.complex128(-0.010497427743435463+0.26732575600215547j), np.complex128(-0.010497427743435463-0.26732575600215547j), np.complex128(-1.0921925203773264e-12+0.35436302873921693j), np.complex128(-1.0921925203773264e-12-0.35436302873921693j), np.complex128(-0.2711283246749082+2.7292881905230915j), np.complex128(-0.2711283246749082-2.7292881905230915j), np.complex128(-0.271128324676162+2.729288190522066j), np.complex128(-0.271128324676162-2.729288190522066j), np.complex128(-13.033297190659693+14.322321765106544j), np.complex128(-13.033297190659693-14.322321765106544j), np.complex128(-13.033297190644062+14.322321765115568j), np.complex128(-13.033297190644062-14.322321765115568j))\n",
      "(np.float64(-200.0), np.float64(-200.0), np.float64(-1999.9999999999998), np.float64(-0.02007827991778461), np.float64(-0.020078279659776748), np.float64(-2.580708621122238e-10), np.float64(-15.278039002751779), np.float64(-15.27803900294391), np.float64(-37.5875499182891), np.float64(-37.58754992011324), np.float64(-1270.3160778915844), np.float64(-1270.3160778760625), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-86.35143298229573+19.216867768387107j), np.complex128(-86.35143298229573-19.216867768387107j), np.complex128(-86.35143298333351+19.216867758926814j), np.complex128(-86.35143298333351-19.216867758926814j), np.complex128(-7.184546295609813e-13+9.719862477185815j), np.complex128(-7.184546295609813e-13-9.719862477185815j), np.complex128(-1.835561875225273e-13+1.2313225699476558j), np.complex128(-1.835561875225273e-13-1.2313225699476558j), np.complex128(-1.0967543329481134e-12+0.2850867195563693j), np.complex128(-1.0967543329481134e-12-0.2850867195563693j), np.complex128(-0.03919349729548207+0.08045695915767265j), np.complex128(-0.03919349729548207-0.08045695915767265j), np.complex128(-0.03919349729706598+0.0804569591557125j), np.complex128(-0.03919349729706598-0.0804569591557125j), np.complex128(-1.0663904270747737e-12+0.5688213957405965j), np.complex128(-1.0663904270747737e-12-0.5688213957405965j), np.complex128(-1.078838929878826e-12+0.6261479514724254j), np.complex128(-1.078838929878826e-12-0.6261479514724254j), np.complex128(-1.0344028607168105+6.179659433092568j), np.complex128(-1.0344028607168105-6.179659433092568j), np.complex128(-1.0344028607159552+6.179659433094185j), np.complex128(-1.0344028607159552-6.179659433094185j))\n",
      "TEE_LOGFILE None\n",
      "A [-2.00000000e+02 +0.j         -2.00000000e+02 +0.j\n",
      " -2.00000000e+03 +0.j         -2.00782799e-02 +0.j\n",
      " -2.00782797e-02 +0.j         -2.58070862e-10 +0.j\n",
      " -1.52780390e+01 +0.j         -1.52780390e+01 +0.j\n",
      " -3.75875499e+01 +0.j         -3.75875499e+01 +0.j\n",
      " -1.27031608e+03 +0.j         -1.27031608e+03 +0.j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.63514330e+01+19.21686777j -8.63514330e+01-19.21686777j\n",
      " -8.63514330e+01+19.21686776j -8.63514330e+01-19.21686776j\n",
      " -7.18454630e-13 +9.71986248j -7.18454630e-13 -9.71986248j\n",
      " -1.83556188e-13 +1.23132257j -1.83556188e-13 -1.23132257j\n",
      " -1.09675433e-12 +0.28508672j -1.09675433e-12 -0.28508672j\n",
      " -3.91934973e-02 +0.08045696j -3.91934973e-02 -0.08045696j\n",
      " -3.91934973e-02 +0.08045696j -3.91934973e-02 -0.08045696j\n",
      " -1.06639043e-12 +0.5688214j  -1.06639043e-12 -0.5688214j\n",
      " -1.07883893e-12 +0.62614795j -1.07883893e-12 -0.62614795j\n",
      " -1.03440286e+00 +6.17965943j -1.03440286e+00 -6.17965943j\n",
      " -1.03440286e+00 +6.17965943j -1.03440286e+00 -6.17965943j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j\n",
      " -8.48230016e+00 +0.84823002j -8.48230016e+00 -0.84823002j]\n",
      "B [-1.52780392e+01+0.00000000e+00j -1.52780388e+01+0.00000000e+00j\n",
      " -2.00782797e-02+0.00000000e+00j -3.90376294e-03+0.00000000e+00j\n",
      " -2.00000000e+03+0.00000000e+00j -2.00782799e-02+0.00000000e+00j\n",
      " -1.27031608e+03+1.52587891e-05j -1.27031608e+03-1.52587891e-05j\n",
      " -3.75875499e+01+4.76837158e-07j -3.75875499e+01-4.76837158e-07j\n",
      " -2.00000000e+02+3.81469727e-06j -2.00000000e+02-3.81469727e-06j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -1.03440286e+00+6.17965943e+00j -1.03440286e+00-6.17965943e+00j\n",
      " -1.03440286e+00+6.17965943e+00j -1.03440286e+00-6.17965943e+00j\n",
      " -4.68916991e-04+6.26147951e-01j -4.68916991e-04-6.26147951e-01j\n",
      " -4.25985610e-04+5.68821396e-01j -4.25985610e-04-5.68821396e-01j\n",
      " -3.91934973e-02+8.04569592e-02j -3.91934973e-02-8.04569592e-02j\n",
      " -3.91934973e-02+8.04569592e-02j -3.91934973e-02-8.04569592e-02j\n",
      " -8.88613204e-03+2.85086720e-01j -8.88613204e-03-2.85086720e-01j\n",
      " -8.88881768e-02+1.23132257e+00j -8.88881768e-02-1.23132257e+00j\n",
      " -2.85282769e+00+9.71986248e+00j -2.85282769e+00-9.71986248e+00j\n",
      " -8.63514330e+01+1.92168678e+01j -8.63514330e+01-1.92168678e+01j\n",
      " -8.63514330e+01+1.92168678e+01j -8.63514330e+01-1.92168678e+01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/wield/iirrational/fitters_ZPK/codings_s/cplx_sos_NL.py:176: RuntimeWarning: divide by zero encountered in scalar divide\n",
      "  V_D_c1 = -pD_c1 * c1 / disc * V_D\n",
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/wield/iirrational/fitters_ZPK/codings_s/cplx_sos_NL.py:176: RuntimeWarning: invalid value encountered in scalar multiply\n",
      "  V_D_c1 = -pD_c1 * c1 / disc * V_D\n",
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/wield/iirrational/fitters_ZPK/codings_s/cplx_sos_NL.py:177: RuntimeWarning: divide by zero encountered in scalar divide\n",
      "  V_D_c2 = -pD_c2 / (2 * disc) * V_D\n",
      "/Users/Ian/miniconda3/envs/controls/lib/python3.10/site-packages/wield/iirrational/fitters_ZPK/codings_s/cplx_sos_NL.py:177: RuntimeWarning: invalid value encountered in scalar multiply\n",
      "  V_D_c2 = -pD_c2 / (2 * disc) * V_D\n",
      "3W   0.23  Fitter_checkpoint improvement succeed, None\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------:Q-ranked order reduction:\n",
      "4P   0.32    order reduced annealing\n",
      "5P   0.56  zero flipping, maxzp 44, residuals=-1.49e-01, -4.21e-01, reldeg=-3\n",
      "2A  15.32  Baseline fit residuals: -4.21e-01, at order 44\n",
      "BASELINE:  44\n",
      "------------:investigations:\n",
      "2I  15.32    max(z, p)       ChiSq.\n",
      "                   order    avg. res.    med. res.    max. res.\n",
      "             -----------  -----------  -----------  -----------\n",
      "                      52    -0.148973    0.0208649      5.13889\n",
      "C [-1.52780392e+01+0.00000000e+00j -1.52780388e+01+0.00000000e+00j\n",
      " -2.00782797e-02+0.00000000e+00j -3.90376294e-03+0.00000000e+00j\n",
      " -2.00000000e+03+0.00000000e+00j -2.00782799e-02+0.00000000e+00j\n",
      " -1.27031608e+03+1.52587891e-05j -1.27031608e+03-1.52587891e-05j\n",
      " -3.75875499e+01+4.76837158e-07j -3.75875499e+01-4.76837158e-07j\n",
      " -2.00000000e+02+3.81469727e-06j -2.00000000e+02-3.81469727e-06j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j\n",
      " -1.03440286e+00+6.17965943e+00j -1.03440286e+00-6.17965943e+00j\n",
      " -1.03440286e+00+6.17965943e+00j -1.03440286e+00-6.17965943e+00j\n",
      " -4.68916991e-04+6.26147951e-01j -4.68916991e-04-6.26147951e-01j\n",
      " -4.25985610e-04+5.68821396e-01j -4.25985610e-04-5.68821396e-01j\n",
      " -3.91934973e-02+8.04569592e-02j -3.91934973e-02-8.04569592e-02j\n",
      " -3.91934973e-02+8.04569592e-02j -3.91934973e-02-8.04569592e-02j\n",
      " -8.88613204e-03+2.85086720e-01j -8.88613204e-03-2.85086720e-01j\n",
      " -8.88881768e-02+1.23132257e+00j -8.88881768e-02-1.23132257e+00j\n",
      " -2.85282769e+00+9.71986248e+00j -2.85282769e+00-9.71986248e+00j\n",
      " -8.63514330e+01+1.92168678e+01j -8.63514330e+01-1.92168678e+01j\n",
      " -8.63514330e+01+1.92168678e+01j -8.63514330e+01-1.92168678e+01j\n",
      " -8.48230016e+00+8.48230016e-01j -8.48230016e+00-8.48230016e-01j]\n",
      "(np.float64(-200.0), np.float64(-200.0), np.float64(-1999.9999999999998), np.float64(-0.02007827991778461), np.float64(-0.020078279659776748), np.float64(-2.580708621122238e-10), np.float64(-15.278039002751779), np.float64(-15.27803900294391), np.float64(-37.5875499182891), np.float64(-37.58754992011324), np.float64(-1270.3160778915844), np.float64(-1270.3160778760625), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-8.482300164692441+0.8482300164692441j), np.complex128(-8.482300164692441-0.8482300164692441j), np.complex128(-86.35143298229573+19.216867768387107j), np.complex128(-86.35143298229573-19.216867768387107j), np.complex128(-86.35143298333351+19.216867758926814j), np.complex128(-86.35143298333351-19.216867758926814j), np.complex128(-7.184546295609813e-13+9.719862477185815j), np.complex128(-7.184546295609813e-13-9.719862477185815j), np.complex128(-1.835561875225273e-13+1.2313225699476558j), np.complex128(-1.835561875225273e-13-1.2313225699476558j), np.complex128(-1.0967543329481134e-12+0.2850867195563693j), np.complex128(-1.0967543329481134e-12-0.2850867195563693j), np.complex128(-0.03919349729548207+0.08045695915767265j), np.complex128(-0.03919349729548207-0.08045695915767265j), np.complex128(-0.03919349729706598+0.0804569591557125j), np.complex128(-0.03919349729706598-0.0804569591557125j), np.complex128(-1.0663904270747737e-12+0.5688213957405965j), np.complex128(-1.0663904270747737e-12-0.5688213957405965j), np.complex128(-1.078838929878826e-12+0.6261479514724254j), np.complex128(-1.078838929878826e-12-0.6261479514724254j), np.complex128(-1.0344028607168105+6.179659433092568j), np.complex128(-1.0344028607168105-6.179659433092568j), np.complex128(-1.0344028607159552+6.179659433094185j), np.complex128(-1.0344028607159552-6.179659433094185j))\n"
     ]
    }
   ],
   "source": [
    "snr = np.ones_like(F_FOM_dwn)\n",
    "snr[:-1] = (F_FOM_dwn[1:] - F_FOM_dwn[:-1])**-0.001\n",
    "from wield.iirrational import fitters_ZPK\n",
    "\n",
    "all_z = (np.array(recalibrated_zpk.zeros))\n",
    "all_p = (np.array(recalibrated_zpk.poles))\n",
    "k = float(recalibrated_zpk.k)\n",
    "\n",
    "z_iir = tuple(np.array(all_z) / (np.pi * 2))\n",
    "p_iir = tuple(np.array(all_p) / (np.pi * 2))\n",
    "print(z_iir)\n",
    "print(p_iir)\n",
    "\n",
    "iir_results = data2filter(\n",
    "    F_Hz=F_FOM_dwn,\n",
    "    xfer=FOM_ASD,\n",
    "    #xfer=reduced_ASD,\n",
    "    mode='reduce',\n",
    "    zeros=z_iir, \n",
    "    poles=p_iir,\n",
    "    gain=k * (2*np.pi)**(len(z_iir) - len(p_iir)),\n",
    "    SNR_phase_rel=0,\n",
    "    SNR=snr,\n",
    "    #relative_degree=-4,\n",
    "    # resavg_RthreshOrdDn=1.01,\n",
    "    baseline_only=True,\n",
    "    #coding_map=fitters_ZPK.codings_s.coding_maps.RI\n",
    "    # trust_SNR = True,\n",
    ")\n",
    "print(\"C\", iir_results.fit_aid._fitters[0].fitter.poles.fullplane)\n",
    "print(tuple(np.array(all_p) / (np.pi * 2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Bunch(\n",
       "     checkpoint_idx = -1,\n",
       "     fitter = <wield.iirrational.fitters_ZPK.MRF.MultiReprFilterS at 0x337c8e710>,\n",
       "     log_idx = 0,\n",
       "     valid = True,\n",
       "     ),\n",
       " Bunch(\n",
       "     checkpoint_idx = -1,\n",
       "     fitter = <wield.iirrational.fitters_ZPK.MRF.MultiReprFilterS at 0x337cd2e00>,\n",
       "     log_idx = 1,\n",
       "     valid = True,\n",
       "     ),\n",
       " Bunch(\n",
       "     checkpoint_idx = -1,\n",
       "     fitter = <wield.iirrational.fitters_ZPK.MRF.MultiReprFilterS at 0x337cd2d10>,\n",
       "     log_idx = 12,\n",
       "     valid = True,\n",
       "     ),\n",
       " Bunch(\n",
       "     checkpoint_idx = -1,\n",
       "     fitter = <wield.iirrational.fitters_ZPK.MRF.MultiReprFilterS at 0x337cd1cc0>,\n",
       "     log_idx = 14,\n",
       "     valid = True,\n",
       "     )]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iir_results.fit_aid._fitters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And plot the result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x337d060b0>"
      ]
     },
     "execution_count": 26,
     "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": [
    "#_, TF_all = scipy.signal.freqs_zpk(all_z, all_p, k, worN = F_Hz)\n",
    "#_, TF_minreal = scipy.signal.freqs_zpk(minreal_all_z, minreal_all_p, minreal_all_k, worN = F_Hz)\n",
    "\n",
    "\n",
    "plt.loglog(F_bug, Div_PSD**0.5, label = \"Full FOM ASD\")\n",
    "plt.loglog(F_FOM_dwn, FOM_ASD, label = \"Downsampled FOM ASD\")\n",
    "plt.loglog(F_FOM_dwn, hand_xfr.mag, label = 'Handfit ASD')\n",
    "plt.loglog(F_Hz, recalibrated_zpk_xfr.mag, label = 'Recalibrated AAA')\n",
    "plt.loglog(F_FOM_dwn, reduced_ASD, label = \"reduced ASD\")\n",
    "#plt.loglog(F_Hz, abs(TF_all), label = 'ALL ZPK Fit Bary. (order {})'.format(results.order))\n",
    "#plt.loglog(F_Hz, abs(TF_minreal), label = 'Minreal ALL ZPK Fit Bary.', linestyle = '--')\n",
    "plt.loglog(F_Hz, np.abs(iir_results.fitter.xfer_eval(F_Hz)), label = \"data2filter Fit FOM\", ls='--', linewidth=4)\n",
    "plt.grid()\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-8.40033252e-01-1.89162563e+00j,  8.80201515e-01-3.31859995e+00j,\n",
       "        3.63020982e+00-3.82718193e+00j, ...,\n",
       "       -6.28908229e+17-5.70991599e+19j, -6.28906692e+17-5.70990405e+19j,\n",
       "       -6.28905155e+17-5.70989212e+19j], shape=(1450180,))"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iir_results.fitter.xfer_eval(F_Hz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': 10, 'b': 8, 'd': 6, 'c': 4}\n",
      "{'a': 10, 'b': 8}\n",
      "{'d': 6, 'c': 4}\n"
     ]
    }
   ],
   "source": [
    "# Python code to merge dict using a single \n",
    "# expression\n",
    "def Merge(dict1, dict2):\n",
    "\tres = {**dict1, **dict2}\n",
    "\treturn res\n",
    "\t\n",
    "# Driver code\n",
    "dict1 = {'a': 10, 'b': 8}\n",
    "dict2 = {'d': 6, 'c': 4}\n",
    "dict3 = Merge(dict1, dict2)\n",
    "print(dict3)\n",
    "print(dict1)\n",
    "print(dict2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x3308a9360>"
      ]
     },
     "execution_count": 29,
     "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": [
    "# Hand Fit the DARM**2 ZPK\n",
    "shift_sq = 0.9\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, [-250]*2 +[-600]*1 + [-5000]*0)\n",
    "# k_hand_sq = 9e39\n",
    "k_hand_sq = 3e32\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",
    "#plt.loglog(F_bug, Div_PSD**0.5, label = \"Full FOM ASD\")\n",
    "plt.loglog(F_FOM_dwn, FOM_ASD, label = \"Downsampled FOM ASD\")\n",
    "#plt.loglog(F_Hz, abs(TF_all), label = 'ALL ZPK Fit Bary. (order {})'.format(results.order))\n",
    "plt.loglog(F_Hz, np.abs(iir_results.fitter.xfer_eval(F_Hz)), label = \"data2filter Fit FOM\")\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_bug)\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 = 'Hand fit to DARM**2 ZPK')\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"ASD\")\n",
    "\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "\n",
    "#plt.savefig('FOM_BNS_fit.pdf', bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we calculate what this spectrum will look like from this FOM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x337fc1690>"
      ]
     },
     "execution_count": 30,
     "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": [
    "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",
    "det_PSD_from_FOM = (BNS_PSD/fr_hand.mag**2)**0.5\n",
    "plt.loglog(F_bug, 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='black')\n",
    "plt.loglog(F_bug, det_PSD_from_FOM**0.5*L_arm , label = 'Detector Spectrum from FOM', color='dodgerblue')\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"DARM [m/rtHz]\")\n",
    "\n",
    "# plt.xlim([6, 10000])\n",
    "# plt.ylim([1e-20, 1e-15])\n",
    "\n",
    "\n",
    "plt.grid()\n",
    "plt.legend()"
   ]
  },
  {
   "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": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 940x680 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out_p = iir_results.fitter.poles.fullplane\n",
    "out_z = iir_results.fitter.zeros.fullplane\n",
    "out_k = iir_results.fitter.gain\n",
    "\n",
    "# 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",
    "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.yml', zpk_dict)\n",
    "#save('BNS_FOM_from_DARM.yml', zpk_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now it is saved. To open it use the following code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.float64'>\n",
      "49\n",
      "52\n",
      "-4.251712073985204e+34\n",
      "[-1.71933238e+04+0.00000000e+00j -1.63099239e+04+0.00000000e+00j\n",
      " -1.29728162e+01+0.00000000e+00j -1.21499286e+01+0.00000000e+00j\n",
      " -7.55661313e-02+0.00000000e+00j -2.45521103e-02+0.00000000e+00j\n",
      " -2.48600198e+00+0.00000000e+00j -7.56379407e-02+0.00000000e+00j\n",
      " -2.48612066e+00+0.00000000e+00j -3.05765107e-01+6.60016416e-03j\n",
      " -3.05765107e-01-6.60016416e-03j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -8.18777546e+01+8.99816240e+01j\n",
      " -8.18777546e+01-8.99816240e+01j -8.18777546e+01+8.99816240e+01j\n",
      " -8.18777546e+01-8.99816240e+01j -1.70409949e+00+1.71472024e+01j\n",
      " -1.70409949e+00-1.71472024e+01j -1.70409949e+00+1.71472024e+01j\n",
      " -1.70409949e+00-1.71472024e+01j -6.93961076e-02+2.22637834e+00j\n",
      " -6.93961076e-02-2.22637834e+00j -4.93047846e-01+1.67948889e+00j\n",
      " -4.93047846e-01-1.67948889e+00j -4.93047846e-01+1.67948889e+00j\n",
      " -4.93047846e-01-1.67948889e+00j -6.17306356e-01+8.52973777e+00j\n",
      " -6.17306356e-01-8.52973777e+00j -1.73319977e+01+5.90518075e+01j\n",
      " -1.73319977e+01-5.90518075e+01j -5.80500799e+02+3.59639192e+02j\n",
      " -5.80500799e+02-3.59639192e+02j -5.80500799e+02+3.59639192e+02j\n",
      " -5.80500799e+02-3.59639192e+02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j -2.48486669e+00+9.73721622e-02j\n",
      " -2.48486669e+00-9.73721622e-02j]\n",
      "[-1.26170405e-01  +0.j         -2.45290808e-02  +0.j\n",
      " -1.25665297e+04  +0.j         -1.26168860e-01  +0.j\n",
      " -8.03659898e+03+194.91460286j -8.03659898e+03-194.91460286j\n",
      " -2.37959049e+02  +6.39812641j -2.37959049e+02  -6.39812641j\n",
      " -9.60236922e+01  +2.28395724j -9.60236922e+01  -2.28395724j\n",
      " -1.25627968e+03 +33.14285309j -1.25627968e+03 -33.14285309j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -6.49816520e+00 +38.83046579j -6.49816520e+00 -38.83046579j\n",
      " -6.49816520e+00 +38.83046579j -6.49816520e+00 -38.83046579j\n",
      " -3.00420896e-03  +3.93445773j -3.00420896e-03  -3.93445773j\n",
      " -1.63422797e-02  +3.57437107j -1.63422797e-02  -3.57437107j\n",
      " -2.46292757e-01  +0.50549057j -2.46292757e-01  -0.50549057j\n",
      " -2.46292757e-01  +0.50549057j -2.46292757e-01  -0.50549057j\n",
      " -5.61460029e-02  +1.7916299j  -5.61460029e-02  -1.7916299j\n",
      " -5.58553553e-01  +7.73696394j -5.58553553e-01  -7.73696394j\n",
      " -1.79345808e+01 +61.07755352j -1.79345808e+01 -61.07755352j\n",
      " -5.42617896e+02+121.0808547j  -5.42617896e+02-121.0808547j\n",
      " -5.42617896e+02+121.08085476j -5.42617896e+02-121.08085476j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j\n",
      " -5.32893506e+01  +5.46624111j -5.32893506e+01  -5.46624111j]\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",
    "\n",
    "print(k)\n",
    "print(z)\n",
    "print(p)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "This File has the sole purpose of creating the ASC DHARD Y Model that is then exported to the buzz repository.\n",
    "\"\"\"\n",
    "\n",
    "import os\n",
    "import contextlib\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import control\n",
    "\n",
    "import pytest\n",
    "import scipy\n",
    "from scipy.signal import cheby2\n",
    "from scipy import signal\n",
    "\n",
    "from wield.bunch import Bunch\n",
    "#from wield.control import MIMO\n",
    "from wield.control import SISO\n",
    "from wield.control.ss_bare.ss import BareStateSpace as RawStateSpace\n",
    "from wield.control.ss_bare.ssprint import print_dense_nonzero\n",
    "from wield.utilities.file_io import load, load_ls, save\n",
    "from wield.utilities.mpl import mplfigB\n",
    "\n",
    "from wield.pytest.fixtures import ( \n",
    "    tpath_join,\n",
    "    plot,\n",
    "    dprint,\n",
    "    tpath,\n",
    "    tpath_preclear,\n",
    "    fpath_join,\n",
    "    test_trigger,\n",
    ")\n",
    "\n",
    "from icecream import ic\n",
    "from buzz import ssutil\n",
    "\n",
    "import scipy.optimize\n",
    "from wield.control import SISO\n",
    "\n",
    "\n",
    "def bode(\n",
    "    sys,\n",
    "    axB=None,\n",
    "    F_Hz=None,\n",
    "    omega_limits=None,\n",
    "    include_zp = True,\n",
    "    label=None,\n",
    "    **kwargs\n",
    "):\n",
    "    \"\"\"\n",
    "    sys should be a wield.control.SISO object\n",
    "    \"\"\"\n",
    "    if axB is None:\n",
    "        axB = mplfigB(Nrows = 2)\n",
    "\n",
    "    if include_zp:\n",
    "        z, p = sys._zp\n",
    "        z = z[z.imag > 0]\n",
    "        p = p[p.imag > 0]\n",
    "        F_include = np.sort(np.concatenate(\n",
    "            [\n",
    "                z.imag,\n",
    "                p.imag,\n",
    "                z.imag - abs(z.real) - 1e-6,\n",
    "                z.imag + abs(z.real) + 1e-6,\n",
    "                p.imag - abs(p.real) - 1e-6,\n",
    "                p.imag + abs(p.real) + 1e-6,\n",
    "            ]\n",
    "        )) / (2 * np.pi)\n",
    "        F_include = F_include[F_include > 0]\n",
    "\n",
    "        if omega_limits is None:\n",
    "            omega_limits = (\n",
    "                (F_include[0] + 1e-6) / 3,\n",
    "                F_include[-1] * 3\n",
    "            )\n",
    "\n",
    "    if F_Hz is None:\n",
    "        F_Hz = np.geomspace(omega_limits[0], omega_limits[1], 1000)\n",
    "\n",
    "    if include_zp:\n",
    "        print(\"F_include\", F_include)\n",
    "        F_Hz = np.sort(np.concatenate([F_Hz, F_include]))\n",
    "\n",
    "    fr = sys.fresponse(f=F_Hz)\n",
    "    axB.ax0.loglog(*fr.fplot_mag, label=label, **kwargs)\n",
    "    if hasattr(axB, 'ax1'):\n",
    "        axB.ax1.semilogx(*fr.fplot_deg225, label=label, **kwargs)\n",
    "    return axB\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 940x680 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "FBNS_mod = SISO.zpk(z,p,k, convention='IIRrational')#.asSS\n",
    "# FBNS_iod = {'F1.in':0, 'F1.out':0}\n",
    "# FBNS = ssutil.makeSys(FBNS_mod, FBNS_iod)\n",
    "# omega_lim = [min(F_Hz), max(F_Hz)]\n",
    "\n",
    "#control.bode(FBNS.mod, Hz=True, wrap_phase=True, omega_limits=omega_lim)\n",
    "\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 = FBNS_mod.fresponse(f=plotting_omega)\n",
    "axB.ax0.loglog(*fr.fplot_mag, label='test')\n",
    "axB.ax1.semilogx(*fr.fplot_deg225, label='test')\n",
    "\n",
    "# tol_list = range(10, 16)\n",
    "# for tol in tol_list:\n",
    "#     FBNS_tmp = ssutil.balance_sys_gain(FBNS, nr=tol)\n",
    "#     nstates_tmp = FBNS.A.shape[0]\n",
    "#     K_zpk_tmp = SISO.SISOStateSpace(BareStateSpace(FBNS_tmp.A, FBNS_tmp.B, FBNS_tmp.C, FBNS_tmp.D, None)).asZPK\n",
    "#     control.bode(FBNS.mod, Hz=True, wrap_phase=True, omega_limits=omega_lim, label='sts: {}, tol: {}'.format(nstates_tmp, tol))\n",
    "\n",
    "plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n",
    "plt.savefig('postsave.png', dpi=300, bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  }
 ],
 "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
}
