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Master_thesis / raremodel-nb.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\sa_li\\.conda\\envs\\rmd\\lib\\site-packages\\zfit\\util\\execution.py:57: UserWarning: Not running on Linux. Determining available cpus for thread can failand be overestimated. Workaround (only if too many cpus are used):`zfit.run.set_n_cpu(your_cpu_number)`\n",
      "  warnings.warn(\"Not running on Linux. Determining available cpus for thread can fail\"\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "WARNING: The TensorFlow contrib module will not be included in TensorFlow 2.0.\n",
      "For more information, please see:\n",
      "  * https://github.com/tensorflow/community/blob/master/rfcs/20180907-contrib-sunset.md\n",
      "  * https://github.com/tensorflow/addons\n",
      "If you depend on functionality not listed there, please file an issue.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "\n",
    "# os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"-1\"\n",
    "\n",
    "import numpy as np\n",
    "from pdg_const import pdg\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import pickle as pkl\n",
    "import sys\n",
    "import time\n",
    "from helperfunctions import display_time, prepare_plot\n",
    "import cmath as c\n",
    "import scipy.integrate as integrate\n",
    "from scipy.optimize import fminbound\n",
    "from array import array as arr\n",
    "import collections\n",
    "from itertools import compress\n",
    "import tensorflow as tf\n",
    "import zfit\n",
    "from zfit import ztf\n",
    "from IPython.display import clear_output\n",
    "import os\n",
    "import tensorflow_probability as tfp\n",
    "tfd = tfp.distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# chunksize = 10000\n",
    "# zfit.run.chunking.active = True\n",
    "# zfit.run.chunking.max_n_points = chunksize"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Build model and graphs\n",
    "## Create graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def formfactor( q2, subscript): #returns real value\n",
    "    #check if subscript is viable\n",
    "\n",
    "    if subscript != \"0\" and subscript != \"+\" and subscript != \"T\":\n",
    "        raise ValueError('Wrong subscript entered, choose either 0, + or T')\n",
    "\n",
    "    #get constants\n",
    "\n",
    "    mK = ztf.constant(pdg['Ks_M'])\n",
    "    mbstar0 = ztf.constant(pdg[\"mbstar0\"])\n",
    "    mbstar = ztf.constant(pdg[\"mbstar\"])\n",
    "    b0 = ztf.constant(pdg[\"b0\"])\n",
    "    bplus = ztf.constant(pdg[\"bplus\"])\n",
    "    bT = ztf.constant(pdg[\"bT\"])\n",
    "\n",
    "    mmu = ztf.constant(pdg['muon_M'])\n",
    "    mb = ztf.constant(pdg['bquark_M'])\n",
    "    ms = ztf.constant(pdg['squark_M'])\n",
    "    mB = ztf.constant(pdg['Bplus_M'])\n",
    "\n",
    "    #N comes from derivation in paper\n",
    "\n",
    "    N = 3\n",
    "\n",
    "    #some helperfunctions\n",
    "\n",
    "    tpos = (mB - mK)**2\n",
    "    tzero = (mB + mK)*(ztf.sqrt(mB)-ztf.sqrt(mK))**2\n",
    "\n",
    "    z_oben = ztf.sqrt(tpos - q2) - ztf.sqrt(tpos - tzero)\n",
    "    z_unten = ztf.sqrt(tpos - q2) + ztf.sqrt(tpos - tzero)\n",
    "    z = tf.divide(z_oben, z_unten)\n",
    "\n",
    "    #calculate f0\n",
    "\n",
    "    if subscript == \"0\":\n",
    "        prefactor = 1/(1 - q2/(mbstar0**2))\n",
    "        _sum = 0\n",
    "\n",
    "        for i in range(N):\n",
    "            _sum += b0[i]*(tf.pow(z,i))\n",
    "\n",
    "        return tf.complex(prefactor * _sum, ztf.constant(0.0))\n",
    "\n",
    "    #calculate f+ or fT\n",
    "\n",
    "    else:\n",
    "        prefactor = 1/(1 - q2/(mbstar**2))\n",
    "        _sum = 0\n",
    "\n",
    "        if subscript == \"T\":\n",
    "            b = bT\n",
    "        else:\n",
    "            b = bplus\n",
    "\n",
    "        for i in range(N):\n",
    "            _sum += b[i] * (tf.pow(z, i) - ((-1)**(i-N)) * (i/N) * tf.pow(z, N))\n",
    "\n",
    "        return tf.complex(prefactor * _sum, ztf.constant(0.0))\n",
    "\n",
    "def resonance(q, _mass, width, phase, scale):\n",
    "\n",
    "    q2 = tf.pow(q, 2)\n",
    "\n",
    "    mmu = ztf.constant(pdg['muon_M'])\n",
    "\n",
    "    p = 0.5 * ztf.sqrt(q2 - 4*(mmu**2))\n",
    "\n",
    "    p0 =  0.5 * ztf.sqrt(_mass**2 - 4*mmu**2)\n",
    "\n",
    "    gamma_j = tf.divide(p, q) * _mass * width / p0\n",
    "\n",
    "    #Calculate the resonance\n",
    "\n",
    "    _top = tf.complex(_mass * width, ztf.constant(0.0))\n",
    "\n",
    "    _bottom = tf.complex(_mass**2 - q2, -_mass*gamma_j)\n",
    "\n",
    "    com = _top/_bottom\n",
    "\n",
    "    #Rotate by the phase\n",
    "\n",
    "    r = ztf.to_complex(scale*tf.abs(com))\n",
    "\n",
    "    _phase = tf.angle(com)\n",
    "\n",
    "    _phase += phase\n",
    "\n",
    "    com = r * tf.exp(tf.complex(ztf.constant(0.0), _phase))\n",
    "\n",
    "    return com\n",
    "\n",
    "def bifur_gauss(q, mean, sigma_L, sigma_R, scale):\n",
    "\n",
    "    _exp = tf.where(q < mean, ztf.exp(- tf.pow((q-mean),2) / (2 * sigma_L**2)), ztf.exp(- tf.pow((q-mean),2) / (2 * sigma_R**2)))\n",
    "\n",
    "    #Scale so the total area under curve is 1 and the top of the cusp is continuous\n",
    "\n",
    "    dgamma = scale*_exp/(ztf.sqrt(2*np.pi))*2*(sigma_L*sigma_R)/(sigma_L+sigma_R)\n",
    "\n",
    "    com = ztf.complex(dgamma, ztf.constant(0.0))\n",
    "\n",
    "    return com\n",
    "\n",
    "def axiv_nonres(q):\n",
    "\n",
    "    GF = ztf.constant(pdg['GF'])\n",
    "    alpha_ew = ztf.constant(pdg['alpha_ew'])\n",
    "    Vtb = ztf.constant(pdg['Vtb'])\n",
    "    Vts = ztf.constant(pdg['Vts'])\n",
    "    C10eff = ztf.constant(pdg['C10eff'])\n",
    "\n",
    "    mmu = ztf.constant(pdg['muon_M'])\n",
    "    mb = ztf.constant(pdg['bquark_M'])\n",
    "    ms = ztf.constant(pdg['squark_M'])\n",
    "    mK = ztf.constant(pdg['Ks_M'])\n",
    "    mB = ztf.constant(pdg['Bplus_M'])\n",
    "\n",
    "    q2 = tf.pow(q, 2)\n",
    "\n",
    "    #Some helperfunctions\n",
    "\n",
    "    beta = ztf.sqrt(tf.abs(1. - 4. * mmu**2. / q2))\n",
    "\n",
    "    kabs = ztf.sqrt(mB**2. +tf.pow(q2, 2)/mB**2. + mK**4./mB**2. - 2. * (mB**2. * mK**2. + mK**2. * q2 + mB**2. * q2) / mB**2.)\n",
    "\n",
    "    #prefactor in front of whole bracket\n",
    "\n",
    "    prefactor1 = GF**2. *alpha_ew**2. * (tf.abs(Vtb*Vts))**2. * kabs * beta / (128. * np.pi**5.)\n",
    "\n",
    "    #left term in bracket\n",
    "\n",
    "    bracket_left = 2./3. * kabs**2. * beta**2. *tf.abs(tf.complex(C10eff, ztf.constant(0.0))*formfactor(q2, \"+\"))**2.\n",
    "\n",
    "    #middle term in bracket\n",
    "\n",
    "    _top = 4. * mmu**2. * (mB**2. - mK**2.) * (mB**2. - mK**2.)\n",
    "\n",
    "    _under = q2 * mB**2.\n",
    "\n",
    "    bracket_middle = _top/_under *tf.pow(tf.abs(tf.complex(C10eff, ztf.constant(0.0)) * formfactor(q2, \"0\")), 2)\n",
    "\n",
    "    #Note sqrt(q2) comes from derivation as we use q2 and plot q\n",
    "\n",
    "    return prefactor1 * (bracket_left + bracket_middle) * 2 *ztf.sqrt(q2)\n",
    "\n",
    "def vec(q, funcs):\n",
    "    \n",
    "    q2 = tf.pow(q, 2)\n",
    "\n",
    "    GF = ztf.constant(pdg['GF'])\n",
    "    alpha_ew = ztf.constant(pdg['alpha_ew'])\n",
    "    Vtb = ztf.constant(pdg['Vtb'])\n",
    "    Vts = ztf.constant(pdg['Vts'])\n",
    "    C7eff = ztf.constant(pdg['C7eff'])\n",
    "\n",
    "    mmu = ztf.constant(pdg['muon_M'])\n",
    "    mb = ztf.constant(pdg['bquark_M'])\n",
    "    ms = ztf.constant(pdg['squark_M'])\n",
    "    mK = ztf.constant(pdg['Ks_M'])\n",
    "    mB = ztf.constant(pdg['Bplus_M'])\n",
    "\n",
    "    #Some helperfunctions\n",
    "\n",
    "    beta = ztf.sqrt(tf.abs(1. - 4. * mmu**2. / q2))\n",
    "\n",
    "    kabs = ztf.sqrt(mB**2. + tf.pow(q2, 2)/mB**2. + mK**4./mB**2. - 2 * (mB**2 * mK**2 + mK**2 * q2 + mB**2 * q2) / mB**2)\n",
    "\n",
    "    #prefactor in front of whole bracket\n",
    "\n",
    "    prefactor1 = GF**2. *alpha_ew**2. * (tf.abs(Vtb*Vts))**2 * kabs * beta / (128. * np.pi**5.)\n",
    "\n",
    "    #right term in bracket\n",
    "\n",
    "    prefactor2 = kabs**2 * (1. - 1./3. * beta**2)\n",
    "\n",
    "    abs_bracket = tf.abs(c9eff(q, funcs) * formfactor(q2, \"+\") + tf.complex(2.0 * C7eff * (mb + ms)/(mB + mK), ztf.constant(0.0)) * formfactor(q2, \"T\"))**2\n",
    "\n",
    "    bracket_right = prefactor2 * abs_bracket\n",
    "\n",
    "    #Note sqrt(q2) comes from derivation as we use q2 and plot q\n",
    "\n",
    "    return prefactor1 * bracket_right * 2 * ztf.sqrt(q2)\n",
    "\n",
    "def c9eff(q, funcs):\n",
    "\n",
    "    C9eff_nr = tf.complex(ztf.constant(pdg['C9eff']), ztf.constant(0.0))\n",
    "\n",
    "    c9 = C9eff_nr\n",
    "\n",
    "    c9 = c9 + funcs\n",
    "\n",
    "    return c9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def G(y):\n",
    "    \n",
    "    def inner_rect_bracket(q):\n",
    "        return tf.log(ztf.to_complex((1+tf.sqrt(q))/(1-tf.sqrt(q)))-tf.complex(ztf.constant(0), -1*ztf.constant(np.pi)))    \n",
    "    \n",
    "    def inner_right(q):\n",
    "        return ztf.to_complex(2 * tf.atan(1/tf.sqrt(-q)))\n",
    "    \n",
    "    big_bracket = tf.where(y > ztf.const(0.0), inner_rect_bracket(y), inner_right(y))\n",
    "    \n",
    "    return ztf.to_complex(tf.sqrt(tf.abs(y))) * big_bracket\n",
    "\n",
    "def h_S(m, q):\n",
    "    \n",
    "    return ztf.to_complex(2) - G(ztf.to_complex(1) - 4*tf.pow(m, 2) / ztf.to_complex(tf.pow(q, 2)))\n",
    "\n",
    "def h_P(m, q):\n",
    "    \n",
    "    return ztf.to_complex(2/3) + (ztf.to_complex(1) - 4*tf.pow(m, 2) / ztf.to_complex(tf.pow(q, 2))) * h_S(m,q)\n",
    "\n",
    "def two_p_ccbar(mD, m_D_bar, m_D_star, q):\n",
    "    \n",
    "    \n",
    "    #Load constants\n",
    "    nu_D_bar = ztf.to_complex(pdg[\"nu_D_bar\"])\n",
    "    nu_D = ztf.to_complex(pdg[\"nu_D\"])\n",
    "    nu_D_star = ztf.to_complex(pdg[\"nu_D_star\"])\n",
    "    \n",
    "    phase_D_bar = ztf.to_complex(pdg[\"phase_D_bar\"])\n",
    "    phase_D = ztf.to_complex(pdg[\"phase_D\"])\n",
    "    phase_D_star = ztf.to_complex(pdg[\"phase_D_star\"])\n",
    "    \n",
    "    #Calculation\n",
    "    left_part =  nu_D_bar * tf.exp(tf.complex(ztf.constant(0.0), phase_D_bar)) * h_S(m_D_bar, q) \n",
    "    \n",
    "    right_part_D = nu_D * tf.exp(tf.complex(ztf.constant(0.0), phase_D)) * h_P(m_D, q) \n",
    "    \n",
    "    right_part_D_star = nu_D_star * tf.exp(tf.complex(ztf.constant(0.0), phase_D_star)) * h_P(m_D_star, q) \n",
    "\n",
    "    return left_part + right_part_D + right_part_D_star"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## C_q,qbar constraint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# r = rho_scale * rho_width/rho_mass * np.cos(rho_phase)*(1-np.tan(rho_phase)*rho_width/rho_mass)\n",
    "# o = omega_scale*np.cos(omega_phase)*omega_width/omega_mass\n",
    "# p = phi_scale*np.cos(phi_phase)*phi_width/phi_mass\n",
    "\n",
    "# # phi_s = np.linspace(-500, 5000, 100000)\n",
    "\n",
    "# # p_ = phi_s*np.cos(phi_phase)*phi_width/phi_mass\n",
    "\n",
    "# # p_y = r+o+p_\n",
    "\n",
    "# # plt.plot(phi_s, p_y)\n",
    "\n",
    "# print(r + o + p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class total_pdf(zfit.pdf.ZPDF):\n",
    "    _N_OBS = 1  # dimension, can be omitted\n",
    "    _PARAMS = ['rho_mass', 'rho_scale', 'rho_phase', 'rho_width',\n",
    "               'jpsi_mass', 'jpsi_scale', 'jpsi_phase', 'jpsi_width',\n",
    "               'psi2s_mass', 'psi2s_scale', 'psi2s_phase', 'psi2s_width',\n",
    "               'p3770_mass', 'p3770_scale', 'p3770_phase', 'p3770_width',\n",
    "               'p4040_mass', 'p4040_scale', 'p4040_phase', 'p4040_width',\n",
    "               'p4160_mass', 'p4160_scale', 'p4160_phase', 'p4160_width',\n",
    "               'p4415_mass', 'p4415_scale', 'p4415_phase', 'p4415_width',\n",
    "               'omega_mass', 'omega_scale', 'omega_phase', 'omega_width',\n",
    "               'phi_mass', 'phi_scale', 'phi_phase', 'phi_width']  # the name of the parameters\n",
    "\n",
    "    def _unnormalized_pdf(self, x):\n",
    "        \n",
    "        x = x.unstack_x()\n",
    "        \n",
    "        def rho_res(q):\n",
    "            return resonance(q, _mass = self.params['rho_mass'], scale = self.params['rho_scale'],\n",
    "                             phase = self.params['rho_phase'], width = self.params['rho_width'])\n",
    "    \n",
    "        def omega_res(q):\n",
    "            return resonance(q, _mass = self.params['omega_mass'], scale = self.params['omega_scale'],\n",
    "                             phase = self.params['omega_phase'], width = self.params['omega_width'])\n",
    "        \n",
    "        def phi_res(q):\n",
    "            return resonance(q, _mass = self.params['phi_mass'], scale = self.params['phi_scale'],\n",
    "                             phase = self.params['phi_phase'], width = self.params['phi_width'])\n",
    "\n",
    "        def jpsi_res(q):\n",
    "            return resonance(q, _mass = self.params['jpsi_mass'], scale = self.params['jpsi_scale'],\n",
    "                             phase = self.params['jpsi_phase'], width = self.params['jpsi_width'])\n",
    "\n",
    "        def psi2s_res(q):\n",
    "            return resonance(q, _mass = self.params['psi2s_mass'], scale = self.params['psi2s_scale'],\n",
    "                             phase = self.params['psi2s_phase'], width = self.params['psi2s_width'])\n",
    "        \n",
    "        def p3770_res(q):\n",
    "            return resonance(q, _mass = self.params['p3770_mass'], scale = self.params['p3770_scale'],\n",
    "                             phase = self.params['p3770_phase'], width = self.params['p3770_width'])\n",
    "        \n",
    "        def p4040_res(q):\n",
    "            return resonance(q, _mass = self.params['p4040_mass'], scale = self.params['p4040_scale'],\n",
    "                             phase = self.params['p4040_phase'], width = self.params['p4040_width'])\n",
    "        \n",
    "        def p4160_res(q):\n",
    "            return resonance(q, _mass = self.params['p4160_mass'], scale = self.params['p4160_scale'],\n",
    "                             phase = self.params['p4160_phase'], width = self.params['p4160_width'])\n",
    "        \n",
    "        def p4415_res(q):\n",
    "            return resonance(q, _mass = self.params['p4415_mass'], scale = self.params['p4415_scale'],\n",
    "                             phase = self.params['p4415_phase'], width = self.params['p4415_width'])\n",
    "               \n",
    "\n",
    "        funcs = rho_res(x) + omega_res(x) + phi_res(x) + jpsi_res(x) + psi2s_res(x) + p3770_res(x) + p4040_res(x)+ p4160_res(x) + p4415_res(x)\n",
    "\n",
    "        vec_f = vec(x, funcs)\n",
    "\n",
    "        axiv_nr = axiv_nonres(x)\n",
    "\n",
    "        tot = vec_f + axiv_nr\n",
    "\n",
    "        return tot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_min = 2*pdg['muon_M']\n",
    "x_max = (pdg[\"Bplus_M\"]-pdg[\"Ks_M\"]-0.1)\n",
    "\n",
    "obs = zfit.Space('q', limits = (x_min, x_max))\n",
    "\n",
    "# with open(r\"./data/slim_points/slim_points_toy_0_range({0}-{1}).pkl\".format(int(x_min), int(x_max)), \"rb\") as input_file:\n",
    "#     part_set = pkl.load(input_file)\n",
    "\n",
    "# x_part = part_set['x_part']\n",
    "\n",
    "# x_part = x_part.astype('float64')\n",
    "\n",
    "# data = zfit.data.Data.from_numpy(array=x_part, obs=obs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From C:\\Users\\sa_li\\.conda\\envs\\rmd\\lib\\site-packages\\tensorflow\\python\\ops\\resource_variable_ops.py:435: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.\n",
      "Instructions for updating:\n",
      "Colocations handled automatically by placer.\n"
     ]
    }
   ],
   "source": [
    "#rho\n",
    "\n",
    "rho_mass, rho_width, rho_phase, rho_scale = pdg[\"rho\"]\n",
    "\n",
    "rho_m = zfit.Parameter(\"rho_m\", ztf.constant(rho_mass), floating = False) #lower_limit = rho_mass - rho_width,\n",
    "#                        upper_limit = rho_mass + rho_width)\n",
    "rho_w = zfit.Parameter(\"rho_w\", ztf.constant(rho_width), floating = False)\n",
    "rho_p = zfit.Parameter(\"rho_p\", ztf.constant(rho_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "rho_s = zfit.Parameter(\"rho_s\", ztf.constant(rho_scale), floating = False)\n",
    "\n",
    "#omega\n",
    "\n",
    "omega_mass, omega_width, omega_phase, omega_scale = pdg[\"omega\"]\n",
    "\n",
    "omega_m = zfit.Parameter(\"omega_m\", ztf.constant(omega_mass), floating = False)\n",
    "omega_w = zfit.Parameter(\"omega_w\", ztf.constant(omega_width), floating = False)\n",
    "omega_p = zfit.Parameter(\"omega_p\", ztf.constant(omega_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "omega_s = zfit.Parameter(\"omega_s\", ztf.constant(omega_scale), floating = False)\n",
    "\n",
    "\n",
    "#phi\n",
    "\n",
    "phi_mass, phi_width, phi_phase, phi_scale = pdg[\"phi\"]\n",
    "\n",
    "phi_m = zfit.Parameter(\"phi_m\", ztf.constant(phi_mass), floating = False)\n",
    "phi_w = zfit.Parameter(\"phi_w\", ztf.constant(phi_width), floating = False)\n",
    "phi_p = zfit.Parameter(\"phi_p\", ztf.constant(phi_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "phi_s = zfit.Parameter(\"phi_s\", ztf.constant(phi_scale), floating = False)\n",
    "\n",
    "#jpsi\n",
    "\n",
    "jpsi_mass, jpsi_width, jpsi_phase, jpsi_scale = pdg[\"jpsi\"]\n",
    "# jpsi_scale *= pdg[\"factor_jpsi\"]\n",
    "\n",
    "jpsi_m = zfit.Parameter(\"jpsi_m\", ztf.constant(jpsi_mass), floating = False)\n",
    "jpsi_w = zfit.Parameter(\"jpsi_w\", ztf.constant(jpsi_width), floating = False)\n",
    "jpsi_p = zfit.Parameter(\"jpsi_p\", ztf.constant(jpsi_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "jpsi_s = zfit.Parameter(\"jpsi_s\", ztf.constant(jpsi_scale), floating = False)\n",
    "\n",
    "#psi2s\n",
    "\n",
    "psi2s_mass, psi2s_width, psi2s_phase, psi2s_scale = pdg[\"psi2s\"]\n",
    "\n",
    "psi2s_m = zfit.Parameter(\"psi2s_m\", ztf.constant(psi2s_mass), floating = False)\n",
    "psi2s_w = zfit.Parameter(\"psi2s_w\", ztf.constant(psi2s_width), floating = False)\n",
    "psi2s_p = zfit.Parameter(\"psi2s_p\", ztf.constant(psi2s_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "psi2s_s = zfit.Parameter(\"psi2s_s\", ztf.constant(psi2s_scale), floating = False)\n",
    "\n",
    "#psi(3770)\n",
    "\n",
    "p3770_mass, p3770_width, p3770_phase, p3770_scale = pdg[\"p3770\"]\n",
    "\n",
    "p3770_m = zfit.Parameter(\"p3770_m\", ztf.constant(p3770_mass), floating = False)\n",
    "p3770_w = zfit.Parameter(\"p3770_w\", ztf.constant(p3770_width), floating = False)\n",
    "p3770_p = zfit.Parameter(\"p3770_p\", ztf.constant(p3770_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "p3770_s = zfit.Parameter(\"p3770_s\", ztf.constant(p3770_scale), floating = False)\n",
    "\n",
    "#psi(4040)\n",
    "\n",
    "p4040_mass, p4040_width, p4040_phase, p4040_scale = pdg[\"p4040\"]\n",
    "\n",
    "p4040_m = zfit.Parameter(\"p4040_m\", ztf.constant(p4040_mass), floating = False)\n",
    "p4040_w = zfit.Parameter(\"p4040_w\", ztf.constant(p4040_width), floating = False)\n",
    "p4040_p = zfit.Parameter(\"p4040_p\", ztf.constant(p4040_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "p4040_s = zfit.Parameter(\"p4040_s\", ztf.constant(p4040_scale), floating = False)\n",
    "\n",
    "#psi(4160)\n",
    "\n",
    "p4160_mass, p4160_width, p4160_phase, p4160_scale = pdg[\"p4160\"]\n",
    "\n",
    "p4160_m = zfit.Parameter(\"p4160_m\", ztf.constant(p4160_mass), floating = False)\n",
    "p4160_w = zfit.Parameter(\"p4160_w\", ztf.constant(p4160_width), floating = False)\n",
    "p4160_p = zfit.Parameter(\"p4160_p\", ztf.constant(p4160_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "p4160_s = zfit.Parameter(\"p4160_s\", ztf.constant(p4160_scale), floating = False)\n",
    "\n",
    "#psi(4415)\n",
    "\n",
    "p4415_mass, p4415_width, p4415_phase, p4415_scale = pdg[\"p4415\"]\n",
    "\n",
    "p4415_m = zfit.Parameter(\"p4415_m\", ztf.constant(p4415_mass), floating = False)\n",
    "p4415_w = zfit.Parameter(\"p4415_w\", ztf.constant(p4415_width), floating = False)\n",
    "p4415_p = zfit.Parameter(\"p4415_p\", ztf.constant(p4415_phase), lower_limit=-2*np.pi, upper_limit=2*np.pi)\n",
    "p4415_s = zfit.Parameter(\"p4415_s\", ztf.constant(p4415_scale), floating = False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "total_f = total_pdf(obs=obs, jpsi_mass = jpsi_m, jpsi_scale = jpsi_s, jpsi_phase = jpsi_p, jpsi_width = jpsi_w,\n",
    "                    psi2s_mass = psi2s_m, psi2s_scale = psi2s_s, psi2s_phase = psi2s_p, psi2s_width = psi2s_w,\n",
    "                    p3770_mass = p3770_m, p3770_scale = p3770_s, p3770_phase = p3770_p, p3770_width = p3770_w,\n",
    "                    p4040_mass = p4040_m, p4040_scale = p4040_s, p4040_phase = p4040_p, p4040_width = p4040_w,\n",
    "                    p4160_mass = p4160_m, p4160_scale = p4160_s, p4160_phase = p4160_p, p4160_width = p4160_w,\n",
    "                    p4415_mass = p4415_m, p4415_scale = p4415_s, p4415_phase = p4415_p, p4415_width = p4415_w,\n",
    "                    rho_mass = rho_m, rho_scale = rho_s, rho_phase = rho_p, rho_width = rho_w,\n",
    "                    omega_mass = omega_m, omega_scale = omega_s, omega_phase = omega_p, omega_width = omega_w,\n",
    "                    phi_mass = phi_m, phi_scale = phi_s, phi_phase = phi_p, phi_width = phi_w) \n",
    "    \n",
    "# print(total_pdf.obs)\n",
    "\n",
    "# print(calcs_test)\n",
    "\n",
    "# for param in total_f.get_dependents():\n",
    "#     print(zfit.run(param))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test if graphs actually work and compute values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def total_test_tf(xq):\n",
    "\n",
    "#     def jpsi_res(q):\n",
    "#         return resonance(q, jpsi_m, jpsi_s, jpsi_p, jpsi_w)\n",
    "\n",
    "#     def psi2s_res(q):\n",
    "#         return resonance(q, psi2s_m, psi2s_s, psi2s_p, psi2s_w)\n",
    "\n",
    "#     def cusp(q):\n",
    "#         return bifur_gauss(q, cusp_m, sig_L, sig_R, cusp_s)\n",
    "\n",
    "#     funcs = jpsi_res(xq) + psi2s_res(xq) + cusp(xq)\n",
    "\n",
    "#     vec_f = vec(xq, funcs)\n",
    "\n",
    "#     axiv_nr = axiv_nonres(xq)\n",
    "\n",
    "#     tot = vec_f + axiv_nr\n",
    "    \n",
    "#     return tot\n",
    "\n",
    "def jpsi_res(q):\n",
    "    return resonance(q, jpsi_m, jpsi_s, jpsi_p, jpsi_w)\n",
    "\n",
    "# calcs = zfit.run(total_test_tf(x_part))\n",
    "\n",
    "test_q = np.linspace(x_min, x_max, 200000)\n",
    "\n",
    "probs = total_f.pdf(test_q)\n",
    "\n",
    "calcs_test = zfit.run(probs)\n",
    "res_y = zfit.run(jpsi_res(test_q))\n",
    "f0_y = zfit.run(formfactor(test_q,\"0\"))\n",
    "fplus_y = zfit.run(formfactor(test_q,\"+\"))\n",
    "fT_y = zfit.run(formfactor(test_q,\"T\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "# plt.plot(x_part, calcs, '.')\n",
    "plt.plot(test_q, calcs_test, label = 'pdf')\n",
    "# plt.plot(test_q, f0_y, label = '0')\n",
    "# plt.plot(test_q, fT_y, label = 'T')\n",
    "# plt.plot(test_q, fplus_y, label = '+')\n",
    "# plt.plot(test_q, res_y, label = 'res')\n",
    "plt.legend()\n",
    "plt.ylim(0.0, 6e-6)\n",
    "# plt.yscale('log')\n",
    "# plt.xlim(770, 785)\n",
    "plt.savefig('test.png')\n",
    "# print(jpsi_width)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "# probs = mixture.prob(test_q)\n",
    "# probs_np = zfit.run(probs)\n",
    "# probs_np *= np.max(calcs_test) / np.max(probs_np)\n",
    "# plt.figure()\n",
    "# plt.semilogy(test_q, probs_np,label=\"importance sampling\")\n",
    "# plt.semilogy(test_q, calcs_test, label = 'pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 0.213/(0.00133+0.213+0.015)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adjust scaling of different parts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "total_f.update_integration_options(draws_per_dim=200000, mc_sampler=None)\n",
    "# inte = total_f.integrate(limits = (1000, 1040), norm_range=False)\n",
    "# inte_fl = zfit.run(inte)\n",
    "# print(inte_fl)\n",
    "# # print(pdg[\"jpsi_BR\"]/pdg[\"NR_BR\"], inte_fl*pdg[\"psi2s_auc\"]/pdg[\"NR_auc\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # print(\"jpsi:\", inte_fl)\n",
    "# # print(\"Increase am by factor:\", np.sqrt(pdg[\"jpsi_BR\"]/pdg[\"NR_BR\"]*pdg[\"NR_auc\"]/inte_fl))\n",
    "# # print(\"New amp:\", pdg[\"jpsi\"][3]*np.sqrt(pdg[\"jpsi_BR\"]/pdg[\"NR_BR\"]*pdg[\"NR_auc\"]/inte_fl))\n",
    "\n",
    "# # print(\"psi2s:\", inte_fl)\n",
    "# # print(\"Increase am by factor:\", np.sqrt(pdg[\"psi2s_BR\"]/pdg[\"NR_BR\"]*pdg[\"NR_auc\"]/inte_fl))\n",
    "# # print(\"New amp:\", pdg[\"psi2s\"][3]*np.sqrt(pdg[\"psi2s_BR\"]/pdg[\"NR_BR\"]*pdg[\"NR_auc\"]/inte_fl))\n",
    "\n",
    "# name = \"phi\"\n",
    "\n",
    "# print(name+\":\", inte_fl)\n",
    "# print(\"Increase am by factor:\", np.sqrt(pdg[name+\"_BR\"]/pdg[\"NR_BR\"]*pdg[\"NR_auc\"]/inte_fl))\n",
    "# print(\"New amp:\", pdg[name][3]*np.sqrt(pdg[name+\"_BR\"]/pdg[\"NR_BR\"]*pdg[\"NR_auc\"]/inte_fl))\n",
    "\n",
    "\n",
    "# # print(x_min)\n",
    "# # print(x_max)\n",
    "# # # total_f.update_integration_options(draws_per_dim=2000000, mc_sampler=None)\n",
    "# # total_f.update_integration_options(mc_sampler=lambda dim, num_results,\n",
    "# #                                     dtype: tf.random_uniform(maxval=1., shape=(num_results, dim), dtype=dtype),\n",
    "# #                                    draws_per_dim=1000000)\n",
    "# # # _ = []\n",
    "\n",
    "# # # for i in range(10):\n",
    "\n",
    "# # #     inte = total_f.integrate(limits = (x_min, x_max))\n",
    "# # #     inte_fl = zfit.run(inte)\n",
    "# # #     print(inte_fl)\n",
    "# # #     _.append(inte_fl)\n",
    "\n",
    "# # # print(\"mean:\", np.mean(_))\n",
    "\n",
    "# # _ = time.time()\n",
    "\n",
    "# # inte = total_f.integrate(limits = (x_min, x_max))\n",
    "# # inte_fl = zfit.run(inte)\n",
    "# # print(inte_fl)\n",
    "# # print(\"Time taken: {}\".format(display_time(int(time.time() - _))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampling\n",
    "## Toys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "    \n",
    "# print(list_of_borders[:9])\n",
    "# print(list_of_borders[-9:])\n",
    "\n",
    "\n",
    "class UniformSampleAndWeights(zfit.util.execution.SessionHolderMixin):\n",
    "    def __call__(self, limits, dtype, n_to_produce):\n",
    "        # n_to_produce = tf.cast(n_to_produce, dtype=tf.int32)\n",
    "        low, high = limits.limit1d\n",
    "        low = tf.cast(low, dtype=dtype)\n",
    "        high = tf.cast(high, dtype=dtype)\n",
    "#         uniform = tfd.Uniform(low=low, high=high)\n",
    "#         uniformjpsi = tfd.Uniform(low=tf.constant(3080, dtype=dtype), high=tf.constant(3112, dtype=dtype))\n",
    "#         uniformpsi2s = tfd.Uniform(low=tf.constant(3670, dtype=dtype), high=tf.constant(3702, dtype=dtype))\n",
    "\n",
    "#         list_of_borders = []\n",
    "#         _p = []\n",
    "#         splits = 10\n",
    "\n",
    "#         _ = np.linspace(x_min, x_max, splits)\n",
    "\n",
    "#         for i in range(splits):\n",
    "#             list_of_borders.append(tf.constant(_[i], dtype=dtype))\n",
    "#             _p.append(tf.constant(1/splits, dtype=dtype))\n",
    "    \n",
    "#         mixture = tfd.MixtureSameFamily(mixture_distribution=tfd.Categorical(probs=_p[:(splits-1)]),\n",
    "#                                         components_distribution=tfd.Uniform(low=list_of_borders[:(splits-1)], \n",
    "#                                                                             high=list_of_borders[-(splits-1):]))\n",
    "        mixture = tfd.MixtureSameFamily(mixture_distribution=tfd.Categorical(probs=[tf.constant(0.05, dtype=dtype),\n",
    "                                                                                    tf.constant(0.93, dtype=dtype),\n",
    "                                                                                    tf.constant(0.05, dtype=dtype),\n",
    "                                                                                    tf.constant(0.065, dtype=dtype),\n",
    "                                                                                    tf.constant(0.04, dtype=dtype),\n",
    "                                                                                    tf.constant(0.05, dtype=dtype)]),\n",
    "                                        components_distribution=tfd.Uniform(low=[tf.constant(x_min, dtype=dtype), \n",
    "                                                                                 tf.constant(3090, dtype=dtype),\n",
    "                                                                                 tf.constant(3681, dtype=dtype), \n",
    "                                                                                 tf.constant(3070, dtype=dtype),\n",
    "                                                                                 tf.constant(1000, dtype=dtype),\n",
    "                                                                                 tf.constant(3660, dtype=dtype)], \n",
    "                                                                            high=[tf.constant(x_max, dtype=dtype),\n",
    "                                                                                  tf.constant(3102, dtype=dtype), \n",
    "                                                                                  tf.constant(3691, dtype=dtype),\n",
    "                                                                                  tf.constant(3110, dtype=dtype),\n",
    "                                                                                  tf.constant(1040, dtype=dtype),\n",
    "                                                                                  tf.constant(3710, dtype=dtype)]))\n",
    "#         dtype = tf.float64\n",
    "#         mixture = tfd.MixtureSameFamily(mixture_distribution=tfd.Categorical(probs=[tf.constant(0.04, dtype=dtype),\n",
    "#                                                                                     tf.constant(0.90, dtype=dtype),\n",
    "#                                                                                     tf.constant(0.02, dtype=dtype),\n",
    "#                                                                                     tf.constant(0.07, dtype=dtype),\n",
    "#                                                                                     tf.constant(0.02, dtype=dtype)]),\n",
    "#                                         components_distribution=tfd.Uniform(low=[tf.constant(x_min, dtype=dtype), \n",
    "#                                                                                  tf.constant(3089, dtype=dtype),\n",
    "#                                                                                  tf.constant(3103, dtype=dtype), \n",
    "#                                                                                  tf.constant(3681, dtype=dtype),\n",
    "#                                                                                  tf.constant(3691, dtype=dtype)], \n",
    "#                                                                             high=[tf.constant(3089, dtype=dtype),\n",
    "#                                                                                   tf.constant(3103, dtype=dtype), \n",
    "#                                                                                   tf.constant(3681, dtype=dtype),\n",
    "#                                                                                   tf.constant(3691, dtype=dtype), \n",
    "#                                                                                   tf.constant(x_max, dtype=dtype)]))\n",
    "#         mixture = tfd.Uniform(tf.constant(x_min, dtype=dtype), tf.constant(x_max, dtype=dtype))\n",
    "#         sample = tf.random.uniform((n_to_produce, 1), dtype=dtype)\n",
    "        sample = mixture.sample((n_to_produce, 1))\n",
    "#         sample = tf.random.uniform((n_to_produce, 1), dtype=dtype)\n",
    "        weights = mixture.prob(sample)[:,0]\n",
    "#         weights = tf.broadcast_to(tf.constant(1., dtype=dtype), shape=(n_to_produce,))\n",
    "        # sample = tf.expand_dims(sample, axis=-1)\n",
    "#         print(sample, weights)\n",
    "        \n",
    "#         weights = tf.ones(shape=(n_to_produce,), dtype=dtype)\n",
    "        weights_max = None\n",
    "        thresholds = tf.random_uniform(shape=(n_to_produce,), dtype=dtype)\n",
    "        return sample, thresholds, weights, weights_max, n_to_produce"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "total_f._sample_and_weights = UniformSampleAndWeights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 0.00133/(0.00133+0.213+0.015)*(x_max-3750)/(x_max-x_min)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# zfit.settings.set_verbosity(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6/6 of Toy 1/1\n",
      "Time taken: 1 min, 22 s\n",
      "Projected time left: \n"
     ]
    }
   ],
   "source": [
    "# zfit.run.numeric_checks = False   \n",
    "\n",
    "nr_of_toys = 1\n",
    "nevents = int(pdg[\"number_of_decays\"])\n",
    "nevents = pdg[\"number_of_decays\"]\n",
    "event_stack = 1000000\n",
    "# zfit.settings.set_verbosity(10)\n",
    "calls = int(nevents/event_stack + 1)\n",
    "\n",
    "total_samp = []\n",
    "\n",
    "start = time.time()\n",
    "\n",
    "sampler = total_f.create_sampler(n=event_stack)\n",
    "\n",
    "for toy in range(nr_of_toys):\n",
    "    \n",
    "    dirName = 'data/zfit_toys/toy_{0}'.format(toy)\n",
    "    \n",
    "    if not os.path.exists(dirName):\n",
    "        os.mkdir(dirName)\n",
    "        print(\"Directory \" , dirName ,  \" Created \")\n",
    "\n",
    "    for call in range(calls):\n",
    "\n",
    "        sampler.resample(n=event_stack)\n",
    "        s = sampler.unstack_x()\n",
    "        sam = zfit.run(s)\n",
    "        clear_output(wait=True)\n",
    "\n",
    "        c = call + 1\n",
    "        \n",
    "        print(\"{0}/{1} of Toy {2}/{3}\".format(c, calls, toy+1, nr_of_toys))\n",
    "        print(\"Time taken: {}\".format(display_time(int(time.time() - start))))\n",
    "        print(\"Projected time left: {}\".format(display_time(int((time.time() - start)/(c+calls*(toy))*((nr_of_toys-toy)*calls-c)))))\n",
    "\n",
    "        with open(\"data/zfit_toys/toy_{0}/{1}.pkl\".format(toy, call), \"wb\") as f:\n",
    "            pkl.dump(sam, f, pkl.HIGHEST_PROTOCOL)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "# with open(r\"data/zfit_toys/toy_0/0.pkl\", \"rb\") as input_file:\n",
    "#     sam = pkl.load(input_file)\n",
    "# print(sam[:10])\n",
    "\n",
    "# with open(r\"data/zfit_toys/toy_0/1.pkl\", \"rb\") as input_file:\n",
    "#     sam2 = pkl.load(input_file)\n",
    "# print(sam2[:10])\n",
    "\n",
    "# print(np.sum(sam-sam2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time to generate full toy: 82 s\n",
      "(5404696,)\n"
     ]
    }
   ],
   "source": [
    "print(\"Time to generate full toy: {} s\".format(int(time.time()-start)))\n",
    "\n",
    "total_samp = []\n",
    "\n",
    "for call in range(calls):\n",
    "    with open(r\"data/zfit_toys/toy_0/{}.pkl\".format(call), \"rb\") as input_file:\n",
    "        sam = pkl.load(input_file)\n",
    "        total_samp = np.append(total_samp, sam)\n",
    "\n",
    "total_samp = total_samp.astype('float64')\n",
    "\n",
    "data2 = zfit.data.Data.from_numpy(array=total_samp[:int(nevents)], obs=obs)\n",
    "\n",
    "data3 = zfit.data.Data.from_numpy(array=total_samp, obs=obs)\n",
    "\n",
    "print(total_samp[:nevents].shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5404696,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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9joOyVB2d2k10EXBzMX0z8MEOvY4kqQRlhEEC342ITRGxpig7MjN3AxT3Rxz4pIhYExHjETE+OTlZQjM06NrdknBLRJpeGV86OyMzn4qII4CNEfGzZp6UmeuAdQBjY2NZQjskSS1qe8sgM58q7vcC9wCnAXsiYjFAcb+33deRWuUWhTS7tsIgIg6JiAVT08D7ga3ABmB1UW018O12Xkf9r5XfGJ5pWfX3ktrX7m6iI4F7ImJqWd/MzP8TEQ8D34qIS4F/Bv6gzdeRKsEA0qBqa8sgM5/MzJOL2+9m5tVF+b7MPDszlxX3T5fTXKl5DtzqtX76H/QbyOor/fTmkvqJYaCWdWJgbnQ8YLbXmelxf3dAvdJv/2uGgbpqLgO3pO4xDNRRDvBSfzAMVIpBGvQHaV2kZhkGFeRgJKnbDANVggEo9ZZhoJaU/W3iuT5ueEjlMgwkSYaByjOXawb5yV6qFsNATSnzQnONlt2L50rd0C//o4aBGpppX73f6pUGj2EwZDo9cJexi8hLVGvQ9MP/smEwhOZy3R9Jw8Ew6BAHWftA6ieGgWY9l99BXRp8hoHewMFfGj6GgSSp9d9AjoijgVuAfwe8AqzLzP8REVcBlwGTRdUvZOZ97Ta0n/TDJ+tutrEf+kMadu1sGbwE/HlmngicDlwREcuLx76emSuK28AFQT8MbvXfB+iH9krqrZa3DDJzN7C7mN4fEduAo8pqmCSpe0o5ZhARo8ApwENF0aciYktE3BgRC8t4jWHRyqf4mbYAerVV4NaI1F/aDoOIOBS4C/h0Zv4KuA44DlhBbcvhq9M8b01EjEfE+OTkZKMqqoB2foxeUv9oKwwiYh61ILg1M+8GyMw9mflyZr4CXA+c1ui5mbkuM8cyc2xkZKSdZlRKK4Nn2QNqq1sXnbwYnaRqazkMIiKAG4Btmfm1uvLFddUuBra23rz+5sAqqV+0s2VwBvBR4L0Rsbm4XQB8OSIei4gtwHuAPyujoVVRlQG+Ku2QNBjaOZvoH4Bo8NBAnkq665oLm6rXyrIlqdeG9hvIVRiEywiPZr9LUIX1lVRdQxsG3eSBWUlVZxj0wGxXCZ2tXivLlqSZGAYzmGlgbXbQ7cTg7IAvqWyGQZ1Wd+d0MhjKvL6QISL1VpXfg4ZBRbhLSFIvGQaSpOEIg3Y+QfvpW9IwGIowmE67A71BIWlQDHUYzKTTF5QzSKThVNXvHQ1VGDR7fn8rdTr5x/UXy6T+V/X378CGwUwDf/1jjQbaufzRqv4HlqRmDGwYgAO1JDVroMOgnsEgSdMbqDCo0m8AS9JMqjY2DVQYSJJa0/KP21RV1dJWkvqBWwaSJMNAktTBMIiI8yJie0TsiIi1nXodcNeQJLWrI2EQEQcB/xM4H1gOXBIRyzvxWpKk9nVqy+A0YEdmPpmZ/w+4HbioQ68FuHUgSe3o1NlERwG/qJufAN5ZXyEi1gBritnnImIf8C8dak+/eSv2xRT7osZ+eM3A9EX8ZVtPfytwTDkt6VwYRIOyfN1M5jpg3atPiBjPzLEOtaev2BevsS9q7IfX2Bc1RT+MlrW8Tu0mmgCOrptfAjzVodeSJLWpU2HwMLAsIpZGxJuAVcCGDr2WJKlNHdlNlJkvRcSngL8DDgJuzMzHZ3naulkeHyb2xWvsixr74TX2RU2p/RCZOXstSdJA8xvIkiTDQJJUkTDo5qUreiUiboyIvRGxta7s8IjYGBFPFPcLi/KIiGuL/tgSEafWPWd1Uf+JiFjdi3VpR0QcHRHfi4htEfF4RPxpUT5UfRER8yPixxHxaNEP/7UoXxoRDxXrdEdxAgYR8eZifkfx+Gjdsj5flG+PiHN7s0bti4iDIuKRiPibYn4o+yIidkXEYxGxOSLGi7LOvz8ys6c3ageYdwLHAm8CHgWW97pdHVjPs4BTga11ZV8G1hbTa4G/LKYvAP6W2vc1TgceKsoPB54s7hcW0wt7vW5z7IfFwKnF9ALg59QuWTJUfVGsz6HF9DzgoWL9vgWsKsq/AVxeTP8J8I1iehVwRzG9vHjPvBlYWryXDur1+rXYJ58Bvgn8TTE/lH0B7ALeekBZx98fVdgy6PqlK3ohMx8Anj6g+CLg5mL6ZuCDdeW3ZM2DwGERsRg4F9iYmU9n5r8CG4HzOt/68mTm7sz8STG9H9hG7RvrQ9UXxfo8V8zOK24JvBe4syg/sB+m+udO4OyIiKL89sz8TWb+I7CD2nuqr0TEEuBC4H8X88GQ9sU0Ov7+qEIYNLp0xVE9aku3HZmZu6E2SAJHFOXT9clA9VWxeX8KtU/FQ9cXxW6RzcBeam/WncAzmflSUaV+nV5d3+LxZ4FFDEA/FP478J+AV4r5RQxvXyTw3YjYFLXL9kAX3h9V+KWzWS9dMYSm65OB6auIOBS4C/h0Zv6q9sGucdUGZQPRF5n5MrAiIg4D7gFObFStuB/YfoiIDwB7M3NTRLx7qrhB1YHvi8IZmflURBwBbIyIn81Qt7S+qMKWwTBfumJPsUlHcb+3KJ+uTwairyJiHrUguDUz7y6Kh7IvADLzGeD71Pb5HhYRUx/S6tfp1fUtHv9tarsdB6EfzgBWRsQuaruJ30ttS2EY+4LMfKq430vtQ8JpdOH9UYUwGOZLV2wApo7yrwa+XVf+seJMgdOBZ4tNw78D3h8RC4uzCd5flPWNYt/uDcC2zPxa3UND1RcRMVJsERAR/xY4h9rxk+8Bv19UO7Afpvrn94H/m7UjhRuAVcUZNkuBZcCPu7MW5cjMz2fmkqxddG0VtXX7I4awLyLikIhYMDVN7f96K914f/T6yHndEfGfU9tnemWv29OhdbwN2A28SC21L6W2n/N+4Ini/vCiblD7caCdwGPAWN1y/pjagbEdwCd6vV4t9MN/oLa5ugXYXNwuGLa+AN4OPFL0w1bgL4ryY6kNYDuAvwbeXJTPL+Z3FI8fW7esK4v+2Q6c3+t1a7Nf3s1rZxMNXV8U6/xocXt8ajzsxvvDy1FIkiqxm0iS1GOGgSTJMJAkGQaSJAwDSRKGgSQJw0CSBPx/Vnu3Jq1jkDcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "\n",
    "bins = int((x_max-x_min)/7)\n",
    "\n",
    "# calcs = zfit.run(total_test_tf(samp))\n",
    "print(total_samp[:nevents].shape)\n",
    "\n",
    "plt.hist(total_samp[:nevents], bins = bins, range = (x_min,x_max), label = 'data')\n",
    "# plt.plot(test_q, calcs_test*nevents , label = 'pdf')\n",
    "\n",
    "# plt.plot(sam, calcs, '.')\n",
    "# plt.plot(test_q, calcs_test)\n",
    "# plt.yscale('log')\n",
    "plt.ylim(0, 200)\n",
    "# plt.xlim(3080, 3110)\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.savefig('test2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sampler = total_f.create_sampler(n=nevents)\n",
    "# nll = zfit.loss.UnbinnedNLL(model=total_f, data=sampler, fit_range = (x_min, x_max))\n",
    "\n",
    "# # for param in pdf.get_dependents():\n",
    "# #     param.set_value(initial_value)\n",
    "\n",
    "# sampler.resample(n=nevents)\n",
    "\n",
    "# # Randomise initial values\n",
    "# # for param in pdf.get_dependents():\n",
    "# #     param.set_value(random value here)\n",
    "\n",
    "# # Minimise the NLL\n",
    "# minimizer = zfit.minimize.MinuitMinimizer(verbosity = 10)\n",
    "# minimum = minimizer.minimize(nll)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# jpsi_width"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.hist(sample, weights=1 / prob(sample))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6628998341322463\n",
      "6.258685216704922\n",
      "2.249780125960397\n",
      "-4.790281653148225\n",
      "-0.546187997552245\n",
      "-4.053408742543857\n",
      "3.3921906479017068\n",
      "1.380997849250071\n",
      "0.5628459148842957\n",
      "------------------------------------------------------------------\n",
      "| FCN = -7.175E+05              |     Ncalls=253 (253 total)     |\n",
      "| EDM = 2.21E-05 (Goal: 5E-06)  |            up = 0.5            |\n",
      "------------------------------------------------------------------\n",
      "|  Valid Min.   | Valid Param.  | Above EDM | Reached call limit |\n",
      "------------------------------------------------------------------\n",
      "|     True      |     True      |   False   |       False        |\n",
      "------------------------------------------------------------------\n",
      "| Hesse failed  |   Has cov.    | Accurate  | Pos. def. | Forced |\n",
      "------------------------------------------------------------------\n",
      "|     False     |     True      |   True    |   True    | False  |\n",
      "------------------------------------------------------------------\n",
      "Function minimum: -717521.3025826928\n",
      "---------------------------------------------------------------------------------------------\n",
      "|   | Name    |   Value   | Hesse Err | Minos Err- | Minos Err+ | Limit-  | Limit+  | Fixed |\n",
      "---------------------------------------------------------------------------------------------\n",
      "| 0 | jpsi_p  |   1.486   |   0.016   |            |            |-6.28319 | 6.28319 |       |\n",
      "| 1 | p3770_p |   2.55    |   0.09    |            |            |-6.28319 | 6.28319 |       |\n",
      "| 2 | psi2s_p |   1.344   |   0.027   |            |            |-6.28319 | 6.28319 |       |\n",
      "| 3 | omega_p |   -5.80   |    0.22   |            |            |-6.28319 | 6.28319 |       |\n",
      "| 4 | p4040_p |   -3.37   |    0.16   |            |            |-6.28319 | 6.28319 |       |\n",
      "| 5 | rho_p   |   -0.19   |    0.30   |            |            |-6.28319 | 6.28319 |       |\n",
      "| 6 | phi_p   |   -5.59   |    0.15   |            |            |-6.28319 | 6.28319 |       |\n",
      "| 7 | p4160_p |   4.04    |   0.08    |            |            |-6.28319 | 6.28319 |       |\n",
      "| 8 | p4415_p |   -3.13   |    0.13   |            |            |-6.28319 | 6.28319 |       |\n",
      "---------------------------------------------------------------------------------------------\n",
      "-------------------------------------------------------------------------------------\n",
      "|         |  jpsi_p p3770_p psi2s_p omega_p p4040_p   rho_p   phi_p p4160_p p4415_p |\n",
      "-------------------------------------------------------------------------------------\n",
      "|  jpsi_p |   1.000  -0.133   0.219   0.015  -0.176  -0.110   0.023  -0.065  -0.143 |\n",
      "| p3770_p |  -0.133   1.000  -0.527  -0.007   0.014   0.005  -0.011   0.001   0.014 |\n",
      "| psi2s_p |   0.219  -0.527   1.000   0.016  -0.312  -0.060   0.025  -0.006  -0.140 |\n",
      "| omega_p |   0.015  -0.007   0.016   1.000  -0.007  -0.255   0.034  -0.011  -0.012 |\n",
      "| p4040_p |  -0.176   0.014  -0.312  -0.007   1.000   0.001  -0.011  -0.381  -0.104 |\n",
      "|   rho_p |  -0.110   0.005  -0.060  -0.255   0.001   1.000  -0.246   0.026   0.017 |\n",
      "|   phi_p |   0.023  -0.011   0.025   0.034  -0.011  -0.246   1.000  -0.018  -0.018 |\n",
      "| p4160_p |  -0.065   0.001  -0.006  -0.011  -0.381   0.026  -0.018   1.000   0.164 |\n",
      "| p4415_p |  -0.143   0.014  -0.140  -0.012  -0.104   0.017  -0.018   0.164   1.000 |\n",
      "-------------------------------------------------------------------------------------\n",
      "Hesse errors: OrderedDict([(<zfit.Parameter 'jpsi_p' floating=True>, {'error': 0.015523017204917444}), (<zfit.Parameter 'p3770_p' floating=True>, {'error': 0.0949040578205631}), (<zfit.Parameter 'psi2s_p' floating=True>, {'error': 0.027368429790692872}), (<zfit.Parameter 'omega_p' floating=True>, {'error': 0.21984151021717713}), (<zfit.Parameter 'p4040_p' floating=True>, {'error': 0.1583791551448439}), (<zfit.Parameter 'rho_p' floating=True>, {'error': 0.2962129131334841}), (<zfit.Parameter 'phi_p' floating=True>, {'error': 0.15237884170408078}), (<zfit.Parameter 'p4160_p' floating=True>, {'error': 0.08086187469444539}), (<zfit.Parameter 'p4415_p' floating=True>, {'error': 0.12776706213127875})])\n"
     ]
    }
   ],
   "source": [
    "start = time.time()\n",
    "\n",
    "for param in total_f.get_dependents():\n",
    "    param.randomize()\n",
    "    \n",
    "# for param in total_f.get_dependents():\n",
    "#     print(zfit.run(param))\n",
    "    \n",
    "nll = zfit.loss.UnbinnedNLL(model=total_f, data=data2, fit_range = (x_min, x_max))\n",
    "\n",
    "minimizer = zfit.minimize.MinuitMinimizer(verbosity = 5)\n",
    "# minimizer._use_tfgrad = False\n",
    "result = minimizer.minimize(nll)\n",
    "\n",
    "# param_errors = result.error()\n",
    "\n",
    "# for var, errors in param_errors.items():\n",
    "#     print('{}: ^{{+{}}}_{{{}}}'.format(var.name, errors['upper'], errors['lower']))\n",
    "\n",
    "print(\"Function minimum:\", result.fmin)\n",
    "# print(\"Results:\", result.params)\n",
    "print(\"Hesse errors:\", result.hesse())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time taken for fitting: 2 min, 6 s\n"
     ]
    }
   ],
   "source": [
    "print(\"Time taken for fitting: {}\".format(display_time(int(time.time()-start))))\n",
    "\n",
    "# probs = total_f.pdf(test_q)\n",
    "\n",
    "calcs_test = zfit.run(probs)\n",
    "res_y = zfit.run(jpsi_res(test_q))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "# plt.plot(x_part, calcs, '.')\n",
    "plt.plot(test_q, calcs_test, label = 'pdf')\n",
    "# plt.plot(test_q, res_y, label = 'res')\n",
    "plt.legend()\n",
    "plt.ylim(0.0, 10e-6)\n",
    "# plt.yscale('log')\n",
    "# plt.xlim(3080, 3110)\n",
    "plt.savefig('test3.png')\n",
    "# print(jpsi_width)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "# _tot = 4.37e-7+6.02e-5+4.97e-6\n",
    "# _probs = []\n",
    "# _probs.append(6.02e-5/_tot)\n",
    "# _probs.append(4.97e-6/_tot)\n",
    "# _probs.append(4.37e-7/_tot)\n",
    "# print(_probs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "# dtype = 'float64'\n",
    "# # mixture = tfd.Uniform(tf.constant(x_min, dtype=dtype), tf.constant(x_max, dtype=dtype))\n",
    "# mixture = tfd.MixtureSameFamily(mixture_distribution=tfd.Categorical(probs=[tf.constant(0.007, dtype=dtype),\n",
    "#                                                                             tf.constant(0.917, dtype=dtype),\n",
    "#                                                                             tf.constant(0.076, dtype=dtype)]),\n",
    "#                                 components_distribution=tfd.Uniform(low=[tf.constant(x_min, dtype=dtype), \n",
    "#                                                                          tf.constant(3080, dtype=dtype),\n",
    "#                                                                          tf.constant(3670, dtype=dtype)], \n",
    "#                                                                     high=[tf.constant(x_max, dtype=dtype),\n",
    "#                                                                           tf.constant(3112, dtype=dtype), \n",
    "#                                                                           tf.constant(3702, dtype=dtype)]))\n",
    "# # for i in range(10):\n",
    "# #     print(zfit.run(mixture.prob(mixture.sample((10, 1)))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "# print((zfit.run(jpsi_p)%(2*np.pi))/np.pi)\n",
    "# print((zfit.run(psi2s_p)%(2*np.pi))/np.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "        def jpsi_res(q):\n",
    "            return resonance(q, _mass = jpsi_mass, scale = jpsi_scale,\n",
    "                             phase = jpsi_phase, width = jpsi_width)\n",
    "\n",
    "        def psi2s_res(q):\n",
    "            return resonance(q, _mass = psi2s_mass, scale = psi2s_scale,\n",
    "                             phase = psi2s_phase, width = psi2s_width)\n",
    "        \n",
    "        def p3770_res(q):\n",
    "            return resonance(q, _mass = p3770_mass, scale = p3770_scale,\n",
    "                             phase = p3770_phase, width = p3770_width)\n",
    "        \n",
    "        def p4040_res(q):\n",
    "            return resonance(q, _mass = p4040_mass, scale = p4040_scale,\n",
    "                             phase = p4040_phase, width = p4040_width)\n",
    "        \n",
    "        def p4160_res(q):\n",
    "            return resonance(q, _mass = p4160_mass, scale = p4160_scale,\n",
    "                             phase = p4160_phase, width = p4160_width)\n",
    "        \n",
    "        def p4415_res(q):\n",
    "            return resonance(q, _mass = p4415_mass, scale = p4415_scale,\n",
    "                             phase = p4415_phase, width = p4415_width)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.404870995999285"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_0 = jpsi_scale*np.cos(jpsi_phase)*jpsi_width/jpsi_mass**3 + psi2s_scale*np.cos(psi2s_phase)*psi2s_width/psi2s_mass**3\n",
    "_1 = p3770_scale*np.cos(p3770_phase)*p3770_width/p3770_mass**3 + p4040_scale*np.cos(p4040_phase)*p4040_width/p4040_mass**3\n",
    "_2 = p4160_scale*np.cos(p4160_phase)*p4160_width/p4160_mass**3 + p4415_scale*np.cos(p4415_phase)*p4415_width/p4415_mass**3\n",
    "\n",
    "R = (0.1/(1300**2) - ((_0 + _1 + _2)))\n",
    "\n",
    "R*10*2010**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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