maxim-mbed.ipynb 8.79 MB
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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook tries to recreate the SpO2 algorithm from https://www.maximintegrated.com/en/design/reference-design-center/system-board/6300.html using data collected with a card10 badge\n",
    "\n",
    "It tries to plot as many graphs as possible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy\n",
    "import pandas\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The dataset collected with the card10 badge contains red and infrared data at 100 samples per second\n",
    "lines = open('spo2-data-88-100').readlines()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_with_dc = [(int(x[0]), int(x[1])) for x in [y.strip().split(',') for y in lines]]\n",
    "data_red_with_dc = numpy.array([x[0] for x in data_with_dc])\n",
    "data_ir_with_dc = numpy.array([x[1] for x in data_with_dc])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
54
       "[<matplotlib.lines.Line2D at 0x7fc3e7e73c50>]"
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      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "# Let's plot the data to get a feel for it.\n",
    "plt.plot(data_red_with_dc, color='red')\n",
    "plt.plot(data_ir_with_dc, color='darkred')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The algorithm processes data in chunks of 500 samples. We will define the required functions and call them on some section of the dataset to get a feel for the operations. At the ende we will run them on the whole dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
102
       "[<matplotlib.lines.Line2D at 0x7fc3e7a805c0>]"
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      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "ir_slice = data_ir_with_dc[7000:7500]\n",
    "red_slice = data_red_with_dc[7000:7500]\n",
    "ir_slice = data_ir_with_dc[0:500]\n",
    "red_slice = data_red_with_dc[0:500]\n",
    "plt.plot(red_slice, color='red')\n",
    "plt.plot(ir_slice, color='darkred')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dc_removal(data):\n",
    "    return data - sum(data) / len(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
149
       "[<matplotlib.lines.Line2D at 0x7fc3e7af2240>]"
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      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "an_x_1 = dc_removal(ir_slice)\n",
    "plt.plot(an_x_1, color='darkred')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "496\n"
     ]
    },
    {
     "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": [
    "def moving_average(data, MEAN_FILTER_SIZE=4):\n",
    "    ret = numpy.zeros(len(data) - MEAN_FILTER_SIZE)\n",
    "    for i in range(len(ret)):\n",
    "        ret[i] = sum(data[i:i+MEAN_FILTER_SIZE])/MEAN_FILTER_SIZE\n",
    "    return ret\n",
    "\n",
    "an_x_2 = moving_average(an_x_1)\n",
    "plt.plot(an_x_2, color='darkred')\n",
    "print(len(an_x_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "495\n"
     ]
    },
    {
     "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": [
    "def diff(data):\n",
    "    ret = numpy.zeros(len(data) - 1)\n",
    "    for i in range(len(ret)):\n",
    "        ret[i] = data[i+1] - data[i]\n",
    "    return ret\n",
    "\n",
    "an_dx_1 = diff(an_x_2)\n",
    "plt.plot(an_dx_1, color='darkred')\n",
    "print(len(an_dx_1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "493\n"
     ]
    },
    {
     "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": [
    "an_dx_2 = moving_average(an_dx_1, 2)\n",
    "plt.plot(an_dx_2, color='darkred')\n",
    "print(len(an_dx_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.08 0.54 1.   0.54 0.08]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
294
       "[<matplotlib.lines.Line2D at 0x7fc3e7926e48>]"
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      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "HW = numpy.hamming(5)\n",
    "print(HW)\n",
    "an_dx_3 = numpy.convolve(-an_dx_2, HW) / sum(HW)\n",
    "plt.plot(an_dx_3, color='darkred')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
329
       "[<matplotlib.lines.Line2D at 0x7fc3e50bd240>]"
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      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "# Original code:\n",
    "#n_th1=0; // threshold calculation\n",
    "#for ( k=0 ; k<BUFFER_SIZE-HAMMING_SIZE ;k++){\n",
    "#    n_th1 += ((an_dx[k]>0)? an_dx[k] : ((int32_t)0-an_dx[k])) ;\n",
    "#}\n",
    "#n_th1= n_th1/ ( BUFFER_SIZE-HAMMING_SIZE);\n",
    "\n",
    "n_th1_1 = sum(abs(an_dx_3))/ len(an_dx_3)\n",
    "x = numpy.zeros(len(an_dx_3)) + n_th1_1\n",
    "\n",
    "plt.plot(an_dx_3, color='darkred')\n",
    "plt.plot(x, color='green')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[68, 159, 251, 266, 343, 436]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
379
       "[<matplotlib.lines.Line2D at 0x7fc3e50a3cf8>]"
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      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "def maxim_peaks_above_min_height(pn_x, n_min_height):\n",
    "    i = 1\n",
    "    n_width = 0\n",
    "    pn_locs = []\n",
    "    \n",
    "    while i < len(pn_x) - 1:\n",
    "        if pn_x[i] > n_min_height and pn_x[i] > pn_x[i-1]:\n",
    "            n_width = 1\n",
    "            while i + n_width < len(pn_x) and pn_x[i] == pn_x[i + n_width]:\n",
    "                n_width += 1\n",
    "            if pn_x[i] > pn_x[i + n_width] and len(pn_locs) < 15:\n",
    "                pn_locs.append(i)\n",
    "                i += n_width + 1\n",
    "            else:\n",
    "                i += n_width\n",
    "        else:\n",
    "            i += 1\n",
    "    \n",
    "    return pn_locs\n",
    "\n",
    "# n_min_height = n_th1, n_min_distance = 8, n_max_num = 5\n",
    "pn_locs_1 = maxim_peaks_above_min_height(an_dx_3, n_th1_1)\n",
    "print(pn_locs_1)\n",
    "x = numpy.zeros(len(an_dx_3))\n",
    "x[pn_locs_1] = 100\n",
    "\n",
    "plt.plot(an_dx_3, color='darkred')\n",
    "plt.plot(x, color='green')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def maxim_sort_indices_descend(pn_x, pn_indx):\n",
    "    pn_indx = pn_indx[:]\n",
    "    for i in range(1, len(pn_indx)):\n",
    "        n_temp = pn_indx[i]\n",
    "        j = i\n",
    "        while j > 0 and pn_x[n_temp] > pn_x[pn_indx[j-1]]:\n",
    "            pn_indx[j] = pn_indx[j-1]\n",
    "            j-=1\n",
    "        pn_indx[j] = n_temp\n",
    "    return pn_indx\n",
    "\n",
    "#print(maxim_sort_indices_descend(an_dx_3, pn_locs))\n",
    "#print(an_dx_3[maxim_sort_indices_descend(an_dx_3, pn_locs)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def maxim_remove_close_peaks(pn_locs, pn_x, n_min_distance):\n",
    "    print(pn_locs)\n",
    "    pn_locs = maxim_sort_indices_descend(pn_x, pn_locs)\n",
    "    print(pn_locs)\n",
    "    pn_npks = len(pn_locs)\n",
    "    \n",
    "    i = -1\n",
    "    while i < pn_npks:\n",
    "        n_old_npks = pn_npks\n",
    "        pn_npks = i + 1\n",
    "        \n",
    "        for j in range(i+1, n_old_npks):\n",
    "            n_dist = pn_locs[j] - (-1 if i == -1 else pn_locs[i])\n",
    "            if n_dist > n_min_distance or n_dist < -n_min_distance:\n",
    "                pn_locs[pn_npks] = pn_locs[j]\n",
    "                pn_npks += 1\n",
    "        i += 1\n",
    "    \n",
    "    pn_locs = pn_locs[:pn_npks]\n",
    "    pn_locs.sort()\n",
    "    return pn_locs\n",
    "\n",
    "#print(maxim_remove_close_peaks(pn_locs, an_dx_3, 8))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30.0\n",
      "[68, 159, 251, 266, 343, 436]\n",
      "[343, 159, 251, 68, 436, 266]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
500
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      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "def maxim_find_peaks(pn_x, n_min_height, n_min_distance, n_max_num):\n",
    "    pn_locs = maxim_peaks_above_min_height(pn_x, n_min_height)\n",
    "    pn_locs = maxim_remove_close_peaks(pn_locs, pn_x, n_min_distance)\n",
    "    pn_locs = pn_locs[:n_max_num]\n",
    "\n",
    "    \n",
    "    return pn_locs\n",
    "\n",
    "min_dist = 100/(200/60) # 100 sps and max 200 bpm\n",
    "\n",
    "print(min_dist)\n",
    "an_dx_peak_locs_1 = maxim_find_peaks(an_dx_3, n_th1_1, min_dist, 5)\n",
    "\n",
    "x = numpy.zeros(len(an_dx_3))\n",
    "x[an_dx_peak_locs_1] = 100\n",
    "plt.plot(an_dx_3, color='darkred')\n",
    "plt.plot(x, color='green')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "65.21739130434783 bpm\n"
     ]
    }
   ],
   "source": [
    "def compute_bpm(an_dx_peak_locs):\n",
    "    n_peak_interval_sum = 0\n",
    "    if len(an_dx_peak_locs) >= 2:\n",
    "        for k in range(1, len(an_dx_peak_locs)):\n",
    "            n_peak_interval_sum += an_dx_peak_locs[k] - an_dx_peak_locs[k - 1]\n",
    "        n_peak_interval_sum = n_peak_interval_sum / (len(an_dx_peak_locs) - 1)\n",
    "        pn_heart_rate = 6000 / n_peak_interval_sum\n",
    "        return pn_heart_rate\n",
    "    return None\n",
    "\n",
    "print(compute_bpm(an_dx_peak_locs_1), \"bpm\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
575
       "[<matplotlib.lines.Line2D at 0x7fc3e5009518>]"
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     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "# Original code adds half the length of the hamming window\n",
    "# likely not needed as numpy.convole already shifts the data\n",
    "an_ir_valley_locs_1 = numpy.array(an_dx_peak_locs_1) #+ (len(HW) // 2)\n",
    "x = numpy.zeros(len(an_dx_3))\n",
    "x[an_ir_valley_locs_1] = max(an_dx_3)\n",
    "plt.plot(an_dx_3[100:200], color='darkred')\n",
    "plt.plot(x[100:200], color='green')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 68 159 251 343 436]\n",
      "[76, 168, 259, 352, 444]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
621
       "[<matplotlib.lines.Line2D at 0x7fc3e7aa42e8>]"
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     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Fe0sL466/3lPnVhR1hw/HqlumwAr3ak+ws3xh5aMQkaHAJGCF8f0R4AagCjjHaFYAeMewOGjUBas/6KceIF8p5Y4UdxjID9CvObisF0444YRwRAqJ/ClTAFjz5JO0Njay8W9/AyC9oIBL33jDkxuiN3CkpVHjFSLECjdn2caNJKSkdFqN7Y3H9eRjUVhBPm+2zptH7oQJHRZeBrMo+hJWu5bhYmf5Qh7MFpF04DXgLrc1oZT6hVKqEFgA3BGdLrowrA2/l0Ip9Tel1FSl1NTc3NyIn9v90K996imPkgD47urVDIziugl/OHzGKMzO7kWL2PzCCwyYOjXoOE6gMQorPXyVu3a5xqxuuKFDfaoxVuHPotCD2fbBztcwJEUhIg5cSmKBUup1P00WAFca5WKg0GvbYKMuWP1gP/UARwzXFMZf/1NHokxCcjLXfPZZp3r3L8XexJGW1uFlauabUynFv6+9FmdhIRf+4x9B28Y7HMQnJVna9VRshHvxHp8AV8BD0K4nM9+rmuCEMutJgOeBbUqpJ73qR3o1uxTYbpTfBm4wZj9NB6oM99EHwPkikm0MYp8PfGBsqxaR6ca5bgDe8jqWe3bUjV71vU7BzJkkZmR4vp9kTH3sbaw066mupISmqiom/OAHZA0f3mV734F6MLd8vhxeuRJHenqnmV0JSUkk5+T4VRTuQWwrydld7C6jneULZYxiBvBdYJOIrDfqfg7cIiKjgXZgH3Crse09YDZQBNQDNwEopcpF5DfAKqPdw0op93LV24B/ACnAIuMD8BiwUERuMc7xrW7IGBFEhBGXXcbWefM46/HHmXznnTHphyM9ndbGRtrb2oiLjzf1zVm5axfQOVJsIBzp6ZZ2PZWuW0f+pEl+XWxpAwZQF2SMwkpydhe7y2hn+bpUFEqppYC/yXvvBWivgNsDbPs78Hc/9auBk/3UHwPO7aqPvcX5zz5L/uTJnHzTTcQ7HDHpg/egb5KXhWNGKoqKADolKQpEos+MLrDWw1dbUsKg6dP9bkvNz6c+iOvJSnJq/GPna6hXZodBQnIyU+68M6Yv6ESfKKtmvjnLt29H4uPJGDIkpPZWdz3Vl5Z6Bq59SRswoM8PZttdRjvLpxWFxfCdRmrWm7O9rY0dL79M4VlnhWx9+XM9WYWW+npaams9A9e+BFIUfQmz3quartGKwmL4Lkwz68O387XXqN63jwm33tp1YwPfgXowr3y+uGM5BVIUqfn5tNTV0VJf36FeD2bbBzvLpxWFxfBdb2DWm3Pt3LnkjBnDyCuuCHkf36m/YF75fOlKUbjdlYECOlpFzp5gdxntLJ9WFBbDCjGRWurrObxqFSMuuyysYIm+4UnAOg9fV4qiqwx+VpFTExg7X0OtKCyGFVxPJStX0t7aSsHMmWHt58/1ZBXc4TkCKYpEm8Sy6glmvFc1oaEVhcWwwmD2gY8/RuLiKDjjjLD2c7uevKP0mlE+f1Tt24fExZHuE6bejbYo7C+jneXTisJi+L5wzHhz7nn/fQZMmxYwpHggHOnpqPZ22rzyNphRPn9U791L+uDBAWd4dWVRWEXOnmB3Ge0sn1YUFsPsFkVzTQ1HVq9myHnnhb2vv1DjZpPPl6q9e3kqI4OiN98kM8h6EW1R2F9GO8unFYXFcKSkgIgpfd1tzc3sef99VHt7t5I5+Ysga/aHb9c779BcU0NzTQ0ZQ4cGbOeWLdBgvdnl1HSNna9hWPkoNLFH4uI6TCM10835yvnnc/DTTwEYOG1a2PtbYUaXL01VVZ5ysFAlXVkUfQEz3aua8NAWhQXxDnVhloevtamJQ198AcBJN94Y9vgEQEJqKoBlouO2NTez7Z//9Hwf/a3AMSsDjVHoBXf2wc7yaYvCgiR6hbowy815bMsW2ltb+ebChYy++upuHcNfljuzyOePpQ8+SPmOHQBM/+Uv6TdmTMC2CYbLUI9R2Bc7y6cVhQXxFzwv1uxYuBCAvEmTun0MKymK1qYmNjzzDADXLl3a5ZiMiHRQ8L6YVU5N6Nj5GmrXkwXxXsFshpuzev9+Vv7+94y55pqQc0/4w0qKomzDBpprarjk1VdDHrgPtvLcrHJGErvLaGf5tKKwIGYao2isqOC5YcMAOP3Xv0bEX+qS0PCnKMzK4dWrARgQRs70YBZFXyDW96qm+2hFYUHMNEaxdf58VHs7GUOGkDN6dI+OZSWL4siaNaTk5uIsLOy6sYE/i0IPZtsHO8unFYUFMZPraefrr5M9ciQ3bd3aI2sCrKUoaouLyRw2LCyZ+/oYhd1ltLN8WlFYELMMZh9Zt46Dn37KSd/7Hg5jamtPSEhOds0MsoCiaCgrI6V//7D28WdRuDGrnJrQsfM11IrCgjhM4npa95e/4EhPZ+Jtt0XkeCLSSQma9eGrP3qU1NzcsPbxl8FPD2bbBzvLpxWFBXGkpdHa0EB7W1vMbs6m6mp2LFzI6G99i+SsrIgd1yzWUld0x6LQg9mx7oGmu2hFYUHcq3xb6+tj9vCtmTuXltpaJt1+e0SP60hLo9UrXagZXy4t9fW0NjRExPWkB7Ptg53l04rCgngP+sbq5tz/4YcMOv108idPjuhxreB6qi8rAwjb9eS2KJQfocwoZ1eU79zJB9//PrWHDtHa2NhleyvKGA52lk8rCgviLxx3b1O1Zw/Zo0ZF/LhWUBQNR48CdMuiaG9tpa252VNn5TGKVX/4A5uef56/FhTw4oQJse5OzLHiNQwVrSgsSKJXJNJY3Jxtzc3UFBcHDavdXaygKI5t3QpA+uDBYe2XGCSCrBnlDEZbSwu73nnH82OhYudOVHt70H2sJmO42Fk+rSgsSKxdT9X794NSZPaCojAjOxYuxDl4MPlhxrUygyUYKYrefJP60lLO/uMfOfuJJwBX0qpg2PlFane0orAg3i+ccB4+pRQf/+QnFC9b1qPzV+3eDRAdiyI11fQWhTuDn8SF9/j4y0lhxcFspRQrH3uMzOHDGTZ7NklGSPnGioou9uuN3sUOO8unFYUF6W5MpIajR1kzdy4LZ83q0fl3v/ce8UlJYf+iDgWzu56UUjSWl5Oalxf2vnZxPRW9+SZH1q7l9F/9irj4eM/06KbKyhj3LLZY6RqGi1YUFqS7YxTu3AltTU3dPnd7ayvbX3qJ4RddRFJmZrePEwizK4qWujramptJ7tcv7H2D5QQ3m5zBWP3EE2SPGsW4668HIMlQFI1dKAorydgd7CyfzkdhQRxeKUPDuTkrdu7s0XkPfv45ez/4gPojRxh73XU9OlYgzD5G0VheDkBKTk7Y+zr8ZPCzIuU7djDqqquIS3C9PtzZDJv6uOvJzmhFYUHcrqfmmpqQH773briBrfPne763NTcTn5gY0r71R49SsWMHL515JuBKWTps9uzwOh0ijrQ0zxTS+MRE071c3IoiuTuKwrhu3gsKrTZG0dbcTMPRo6QNHOip0xaFCzvLp11PFsSRlkZCaip1hw+HdHO21Nd3UBIAh1etCvl8C2fN4l8zZwLgLCzkykWLcKSkhNXnUPEdfzHbwxcJReHPojCbnIGoO3wYgPRBgzx1SSGOUVhFxu5iZ/m0orAgIkLm0KFU790bUvuS5cs95ZGXX05CamonxRGMo5s2ecpz9u6l0LAsooHZFUXDsWNA9xRFQhDXk9nkDETtoUMAHS2KjAwQ6XLWk92xyjXsDl0qChEpFJGPRWSriGwRkTuN+sdFZLuIbBSRN0Qky6hPFJEXRGSTiGwQkbO9jvWJiOwQkfXGJ8+oTxKRl0WkSERWiMhQr30eMOp3iMgFEZbfsmQMGULV3r1d3pxKKZY9/LBrn6FDmfnoo4y64gq2v/xySGEXGoxf0G7CnRIaLmZXFKXr1gGQ0p3BbLdsfmJZmU3OQNSVlAAdLQqJiyM5K8tjbQXCKjJ2FzvLF8pT3wrco5QaB0wHbheRccBi4GSl1HhgJ/CA0f7/ASilTgHOA54QEe/zXK+Ummh8So26W4AKpdQI4L+B3wMY57kGOAm4EPgfEYnvvrj2IcOwKLq6OetKSjj46ad87Xe/Y86ePfQbM4ZxN9xAU2Ulu959N+i+rU1NPO31QswZOzYSXQ+KmdOh1hQXs+J3vwO6aVH4ybdhNWqKiwFI97IowBXOxB3aJBB2fpHanS4VhVKqRCm11ijXANuAAqXUf5RSrUaz5YA7nsE4YInRvhSoBKZ2cZpLgReN8qvAueJKHXYp8JJSqkkptQcoAqaFKpydyRgyhMaKCprr6oO2qzLcU7lesXhOmDWL9EGD2DpvXtB9dyxc6CkXzJzJtz76qPsdDhHfX91merkc/PRTAGb85jeul36YiIhrQaGFB7OPbdlCUmYmqfn5HepTcnNpMIIlBsIqMnYXO8sXlh/BcAlNAlb4bLoZWGSUNwCXiEiCiAwDpgDeiYVfMNxOD8rxPJIFwAEAQ/lUAf286w0OGnW+/ZojIqtFZHVZFzerXUgzHtTGiuADiO5xDO9wG3Hx8Yz+9rfZ8/77tDQ0BNz32JYtnvKAU0/t9CsyGpjZ9XTws89IdDo57YEHum4cAEdaGq0WHKNY9vDDfPXmm5Rt2EDuhAmdUsBqi8Le8oWsKEQkHXgNuEspVe1V/wtc7qkFRtXfcb3QVwNzgWVAm7HtesMl9TXj892eCgCglPqbUmqqUmpqbpihn62Ke+56sPg6bS0tHN28GXBZIN6cMGsW7S0tlKzw1fnHqdy9G4mPR+LiorZuwhczK4qSlSsZeNppxMV33/uZ4BOixI2Z5PSltamJZb/+NW9dfjllGzd2sE7dpObmesKv240ja9ey+NZb+3TQw5AUhYg4cCmJBUqp173qvwdcjEsBKHBZBEqpnxhjEJcCWbjGMFBKFRt/a4D/47gbqRjD6hCRBCATOOZdbzDYqOvzuOPrNNUEDjD3rxkzPD5135zWBTNmALDwnHOoPnCg077gCiU+5NxzuaetjQFTu/IeRgazKorWpiaObt5M/pQpPTqOIy3NcoPZZRs2eMotdXUUnHFGpzZui8Jfrg03ZpYxGPOnTGHDs896xmcCYVX5QiGUWU8CPA9sU0o96VV/IfAz4BKlVL1XfaqIpBnl84BWpdRWwxXV36h34FIwm43d3gZuNMpXAUsMxfM2cI0xK2oYMBJY2SOJbUJXFkVjRQWHV60iITmZM//wB7/7j7vhBgD+dsIJrP/rXzu1qdq9m8zhwyPY664x62D2sS1baG9pIa+HiZrMvvLcHweMsRk3J15ySac2Kbm5tLe00Fxd3WmbGyu+SJu9rlVtF4rCzoRiUczA5SKa5TWtdTbwF8AJLDbq3G+aPGCtiGwD7uO4eykJ+EBENgLrcVkGzxnbngf6iUgRcDdwP4BSaguwENgKvA/crpRyu7H6NJ6wCdX+LYrDq1cDcPk77zDtpz/12+asxx/3lNc+9ZSnXLV3L38UobG8nH7jxkWqyyHhURRGPCSzvFzcLrqeWla+0XHNPpjdWFHBsoce8nw/9ac/7WSdwvEkTsHcT2aVMRjea4hqDh4M2taK8oVKlyE8lFJLAfGz6b0A7fcCo/3U1+Ea2Pa3TyNwdYBtjwCPdNXPvoZ7emYg19ORNWsAgrpKvFN5lm/bRuXu3WQNH86BTz7x1I+55poI9DZ0fBelmeXhO/j556QPGkTmsGE9Oo4jLc2zFsEbs8jpy6Hly2mtr+dbS5aQlJVF3sSJftslZWQA/iPjujGrjMEoXb/eU67tw4pCr8y2KAkpKcQnJgZ0PVUWFZGan++xPPzhO3NlxaOPuvbdtQuAb8ybF3Ze6J4SFx9PQkqKJ8KqGR4+pRQHP/2Ugq99rdP/LFx8B7PNPkZRsmIFEhfHgFNPJX/SpIDym9Vl2FPKNmwgMSOD+KSkPj1GoYMCWhQRISk7m6oAFoXbOuiKW3bupL21lXevvZb6Utf6x/IdO8gaMYKTvhuRSWlh4+3HN8PDV7ZxI7WHDjH0/PN7fCzfwWw3ZpDTl/a2Nna9/Tb9TjrJE9o+EB5L0I9sbswoY1eUbdhA3oQJ1BQXa4tCY02Ss7NpDqQodu0i68QTuzxG9siR9Bs7ltTcXM+slbING8gZ3cl72GuYbcB3z3suL+vwiy7q8bHMJlswXj77bCdsPb8AACAASURBVErXrWPqPfd02dY9btFqI0Wh2ttd04EnTiQ1L6/LdSJ2RisKC5M+aBD1R491qm9rbqbmwIGwZiyl9O9P3ZEjvHHJJVTs3MnIyy+PZFfDwpGebqrB7KObN5MxZIhnkWNPsMpgdvWBAxQvXcq4736Xk4zZccEIxfVkNhm7onLXLlrq6sibMKHPLyjUisLCZI0YQa2fgdFjW7eCUmFZBSn9+1O1eze7330X5+DBjIuR2wnM53qq3LWLrBEjInIsR1oabU1NtLd1nLxnBjm9OfTllwBM/vGPQxqXCcX1ZCWKv/iCF4wZfwNPP52Ufv08kYMDYbZrGEm0orAwWSeeSFNVled7U1UVZZs2eWYtDfKzMCoQ7umNAFctXhxyUqNo4EhLM5VFUVlUFJIbLxQSfFw0Zh3MPrJmDfGJiX5XYfsjlOx9ZpMxGFsXLKC9tZWp995L/3Hj+rxFoQezLYzr5fWx5/urF17oyT2R0q9fp7AdwfBWFDmjRkWsj90hMT2dGmO1eKwfvqaqKhqOHYuoRQGuF2qi0+mpj7WcvtQePEj64MHEOxwhtfeXvc8Xs8kYjIqdOxkwbRpnG2uNUvr3p7WhgZb6er/rSMBa8oWLtigsTP+TT0Z5LXHxTlB03rPPhjWV052HO2fMmKjnnOiyLyYa8C3fvh2InPL0l5PCjNQeOhRWEMj4pCRXCHUbKQpv1607/0hX7ie7ohWFhckZPZq8iZM61c/6858ZdeWVYR2r8KyzGHzWWVzRRY6K3sCRlmaadRRlGzcC0H/8+Igcz9dFY8bB7IOff86BTz7pkMWuK0SkSwVvJhmD0VJfT82BA2R7/ThwW9yNQRSFVeTrDtr1ZHEKzz7HFRDF4Obt27s1tTVz6FCu8VqRHUsc6emmGcwu27iRRKeTzDDceMEI5KKJtZzevGSkug1HUYBLCQZzPVmF/R+73Lne4VqS3RZFkHEKM13DSKMtCouT62NRhDMuYVYSjemxSqmYP3wlK1eSO358xNxxgUKUxFpOVx8UL59zjud7XEJ4vyMTfJIydT5+t7vWq3z12mskZWZywqxZnjp3yJzGysD5X6wiX3fQisLiJOd0zN3cncxrZiMxMxPV3h40blBvULV3L4dXrmT4xRdH7JhmDnVRWVTUIc5XsPAv/rCL66lk5UoGn3lmh5l/yVlZADQFURR2RisKi2OVhy8ckjIzAdeMo1jKt2/xYgBGXnFFxI7pO5htpjGKQ16TIaY/+CCn/uxnYe3vm+bVFzPI2BVtzc1U7NhB/1NO6VCfFIKisIJ83UWPUVgc75vze5s3B25oIdwPZWNlJUoN7qJ1dChZuZJP7r2X+KQksiM0NRYCrzcww0vGPWtuxsMPc9rPfx52Jr+ELsYozCBjMFoaGtizaBHtra30P/nkDtscaWlIfHyfVRTaorAR/U86KdZdiAhuM785hhbFgtNOo7m6mtS8vIhOFw40PTbWL5mdr73G+v/5H04491xOf/DBbqV7NdO05nBob2ujfOdOPrj5Zt42Zgvm+ySoEhGSs7L67BiFtigsjh1vTrfrqbGyEhXFIZeagwdJysoKGhm1/siRiJ4zUKrXWF/Ht6+6CoDcHkwDtqrrafUTT/DZffd5vs+eP9/vzMGkrCxtUWisiR1vzlD8wT2lvbWVZwsLecrpZPd7x3Nw7fvwQ54yFBXAqKv95tPqNgkpKcQlJJhqULTea8rn0Asu6PZxrOp68l6oevOOHYz7znf8tutKUdgZrSgsjlkfvp7gURRRdD25g94BvH7RRSz+4Q9pqqriy4cf9uR9vnbpUi743/+N6HlFhOR+/TwLt8wwmF22YQMAF7/8MsN6oCgsO+vJy7WYPXJkwGbaotBoTIRn1lNlZdQevj3vvw9AP2NcZ8Nf/8rLZ5/NoS+/5IRzz+WmrVspmDEjKtON/UUijeVLpnTdOgBO8FpD0R26cj2ZlcqiIgC+/swzQcPeJPXhMQqtKCyOHW/OhORk4pOSompRHFmzhtwJE7j8nXc8daXr16OUYvb8+fQbOzY6J4YOkUjNMEZxeNUqMoYM6XHaW0daGq319agAwpjxXlXt7VQWFTH5xz9m4q23Bm2blJmpLQqNNbHrzel+KKMhn1KK0nXryJs0iaxhw/j2J59w66FDTLn7bq757LOwguF1B7NZFIdXrWLAqaf2+DieEOoNDX63m/FePbplCy11deRPmdJl20SnM+giUDPKFym0orA4dr05E51OmmtqonLsupIS6ktLyZ/kCn9SeNZZpA8cyDlPPEFBGDk8uksouQ16i/qyMqr27GHAtGk9Ppaji+RFZrxXD37+OQAFX/tal20T09NprqkJaDHZGa0oLI5d71m3ooiGfEcMn3zepM6Rd3sD92C2Uirmg9mHV68GiIhF0VVOCjPeqyUrVpA2cCCZQ4d22dbhdKLa2y1lMUUKrSg0piSaisI9eBtq9rZIk9K/P+2trTRXV8d8jOLwqlUgwoAQXC9dEUqWO7NxbOtW+p90Uki5W9zrbZoDuJ+0otCYFrvenA7DHxxp+RorKlj/9NNkjRhBUkZGZA8eIu5ge41eYzCxuo5lGzaQPXJkh2x73aWrvNlmu1eVUpRv305OiBMX3P+jlgAuUbPJF0m0orA4dr05/VkUkZB1+0svUXf4MKfdf3/PD9ZN3NN/zWBRVO/dS+bw4RE5ltVcTzUHD9JSWxvyDDeHtig0VsWuN6e/wexIyFqxcycJqamcfNNNPT9YN0k0LJmmqqqY9cFN1d69ZA4bFpFjdeV6Mtu96l5o6BsAMBBuiyJakyzMjFYUFsdsD1+kOD7D5HhdJGQt37GDnFGjYpoX3O3yirVF0VRdTWN5eUgDuaHgL+BhpK9fJClZuRKJjyfPJwBgIDyuJ21RaDTmwD1G0d7WHtHjlu/Y0SEXcixINIHrqb21lQ9uuQWAjAgpCs86igCKwmwcXrmS/iefTKKh4LrC43rSYxQaq2HXm9Pz662h0VPXU1l3vPoqVbt3UzBjRs8O1EOSvFxPsVIUa/70J3a++ipZI0ZEbO2IP9eTmS2Ksg0bwpoi3ZXryWzyRRIdZtzi2PXm9CiKunrA9QLqqaxr584lZ8wYJt52Ww971zM8YxQxtCi2zp/PwOnTud4rOGJPsZLrqaG8nLrDh8PK4eKeHqtdTxrLYdeb06MoIuTGqC0pofiLLxh7/fXEJcT295EjLQ2Ji6M5RoPZNcXFlG3YwOhIh1D343ryxkz3avm2bQD0Gzcu5H30YLZGYzI8U0hrAsfWCYdjW7cCUDBzZkSO1xNEhMSMjJhZFO7ZPpEI2+FNvMNBXEJCQNeTmThmKIpQ11AAxCcmEudw6Omx/hCRQhH5WES2isgWEbnTqH9cRLaLyEYReUNEsoz6RBF5QUQ2icgGETnb61hTjPoiEXlKjOWQIpIjIotF5Cvjb7ZRL0a7IuM8oU1P6EPY9eZMHzQIgPqjx4Pn9UTW6v37Acg44YQe9StSJGZkxGwwu2zjRgByTzkl4sd2pKVZwvVUvX8/EhdHRmFhWPsFi0EWS/nqy8ooWbEiascPxaJoBe5RSo0DpgO3i8g4YDFwslJqPLATeMBo//8AlFKnAOcBT4iI+zzPGNtHGp8Ljfr7gY+UUiOBj4zvAN/wajvH2F/jhZkevkjiNB7gutIyT12PFMW+fSCCc/DgnnYtIiRlZsZsMPvQl1/iPOEEj9UWSRJSUy0xmF136BCp+flhuyEd6emmHKP47P77WTB9OksffDAqx+9SUSilSpRSa41yDbANKFBK/Ucp1Wo0Ww64n8BxwBKjfSlQCUwVkYFAhlJquXKFX5wHXGbscynwolF+0ad+nnKxHMgyjqMxMNPDF0lS+vcnPimJhrLIKIqa/ftJHziQ+MTECPSu5yQZFkVvU7Z5M7vefpux110XleO7c1L4w0z3au2hQx6rNRyiGdW4JxzdtAmA4RddFJXjhzVGISJDgUmAr41zM7DIKG8ALhGRBBEZBkwBCoEC4KDXPgeNOoB8pVSJUT4M5BvlAuBAgH28+zVHRFaLyOoyrxdLX8BMD18kEePXf30ELYqMIUMi0LPIEKsxij1GfvApd90VleP7Zrkzq0VRW1zcPUVhLAT1R6zkU0pRWVTE+DlzGDR9elTOEbKiEJF04DXgLqVUtVf9L3C5pxYYVX/H9UJfDcwFlgFtoZ7HsDbC+pcrpf6mlJqqlJqa28MsXRrz4CwspK4s9LwNzXV11Bw86Hdb9f79OE0yPgEu11NzDFxPxUuXkj1qFGn5+V037gbBXE9moicWhdlcT/VlZTRWVJAzZkzUzhGSohARBy4lsUAp9bpX/feAi4HrjRc8SqlWpdRPlFITlVKXAlm4xjCKOe6ewigXG+UjbpeS8bfUqC/GZY3420eDeR/ESJA1YgTV+48blEpBw7FjvP7Nb1K5e3eHtvVHj/KXrCyeHz2606wU1d5OzYEDfd6iaKqu5sCnnzI4hCQ93cXX9WRGi6KloYGGo0dJL+jknOgShwktik9/+lOAqCbdCmXWkwDPA9uUUk961V8I/Ay4RClV71WfKiJpRvk8oFUptdVwLVWLyHTjmDcAbxm7vQ3caJRv9Km/wZj9NB2o8nJRaTDPwxcNck85hSavh1Ip2PHKK+x+910+ueeeDm23LVhAe2srrfX1lCxf3mFbfWkpbU1NppnxBL0/6+nDO+7gz5mZNFdXM6GL3NA9wQquJ/caiu78Ak90Ok03PXbff/7DuO98h4GnnRa1c4RiUcwAvgvMEpH1xmc28BfACSw26v5qtM8D1orINuA+Y183twH/CxQBuzg+rvEYcJ6IfAV83fgO8B6w22j/nLG/xguzPHzRoL/P9E2lXDN2AI6sXeupL92wgU9/+lNyRo9G4uJ45bzzWPj1r3u2e6bGmsiiSMrMpLWhAaUiG8sqEOuffhqAnNGjGTB1atTO4+t68sYs96pnevD48WHv60hPD5iPIhY019RQd/hwWAsHu0OXc8OUUksBf+mf3gvQfi8wOsC21UCnmL5KqWPAuX7qFXB7V33sy5jl4YsGrgf5+K2nFBQbOY5rDhygraWFuPh45k2cCMAZDz/MmiefpGTFCvZ/9BHVBw6QUVjomhqLedZQwPF4T+2tbUBcVK+jd47npKys6J0I87ueSlatYtfbb5OQkkLWiBFh728mi6Jk1SqK3ngDgKyRI6N6Lh3rSWNaUvr1I2vEKJc9iSs+T9WePWQOH07V7t3UlZSg2l2/yIdffDGjr76anFGj+L/TT6e1sZFd77zDxB/+kC0vvkhSVla3XgzRIrGDonBE9SVTX1rqKc966qnonYjgriczsMBYjT74zDOJi48Pe/9Ep5O2pibaWlqIdzg6bOu1mWsffMCKRx7hoPGjCSA7yopCh/CwOGZ7ECNN/rTjfte1f/4LACMuvRRwZShzh+aYdt99iAh5EydyV0MD2aNGsfJ3v+OTu+9m97//zdS77/ZENzUD7sVuba2uCYHRvI7Ve/cCcPk77zAwwmE7fHGkpZl2wV1jRYWnPOS887p1jMQgocZ7S76P77yzg5IAoh46XysKixPrhy/aDL/4m57y6iefJDEjg5GXXw64FEWZsdDIN53liEsvpebgQdbMnUvexIlM/8Uveq/TIdDRoojudazasweIXN6JYDjS0mhraqK91bUW10yKwh3fyXnCCUy6vXse7WCBAXtLPndejA51KSlRPadWFBYn1g9ftEn2CjOhEC54/nlP6solP/4xKx55hPwpU0jp16/DftPuv98TzbRg5syYZrTzh6+iiCZVhkURqUx2wQiWVzrW96p7ttO3lywhOTu7W8dwxDiCrGpv9yg8N6c98ECA1pHDXE+PJmxi/fBFm47yCSdefDFJWVn0GzeO+iNHyB0/nm++8kqn/VJycjjzMdfkuXSTxHfyxj2w3tbUBETf9ZTSv7/HbRJNfNOFmsmi2Pnaa6Tm5fXIsvLIFyOL4ti2bbTW15NgWBBnPPQQMx95JOrn1YPZGlPj/fDNmvsnEpKTAbh26VIOfv45J158cUBrYfycObQ1NcU8UZE/UvPySMrMpKUhuoqisaKC3YsW9YrbCTq7ZmKtHNzUHDzInkWLOOOhh7o1iO0m1q6nQ8uWAXDRggW8fdVVjP7WtzCCcEcVrSgsjlkexGjhLd/Y7xxfkpOcnc2ISy4Jum9CUhKn3ntvtLrWI0SE7NGjad3mSvUarev44W23UbN/P6n9+0fnBD745pU2i0Wxf8kSAEZcdlkXLYMTS0WhlGLfhx+S0r8/Iy67jHvaou+2dKMVhcXpS4rCbrLmjBlDy7roWhTuNSQneC1AjCZmdT3t//hjUvr163EOjlgqinmTJlG2YQNT7r67V6wIb/QYhcWx28szGHaTdcCUKbS3tET1HHEJCfQ/+WRm/va3UT2PGzNMH/VHxY4d9B8/vseTGmKVDrX20CHKNmwg0elkxkMP9eq5QSsKjcmxm3LwZtCMGbhXnh/duo2mKOSnqC8tJWfs2E6Lw6KF50Xqx6KIJdX790ckhIt7tlpvKsLWpiYWnH46AFcvXuz5H/cmWlFYHLM8iNHCLK6LaJA3YQLEuQZWD3z6Kc8MHEipkc86UtSXlpKalxfRYwbDjGMUbS0t1B46FJEQLglJSa682b2oKIrefJMaI15Z3qRJ0TlJF2hFYXHs9vL0xQwvmmgRl5BAQmoa4Foj0lpfzyvndgp51m3amptprKiIWu4Jf5hxjKL20CFQKmKxvhKdTr/ZCaMh36LvfY9FN95I+qBB/KiqKmYZGrWisDh2e3n6YoYXTTRJSHOvbXC5oLzDTPSUeiPbY69aFMYiRzNZFO5f4+487D0lUDrUSMvX0tDAlhdfRLW3c9lbb3kCScYCrSgsjh1fnoGwo6zuFcKF55zjKbc2Nkbk2BU7dwKRe0GGgsTFBUzuE6vrd+DTTwHod9JJETleb+XNdsfouvDvf49qaPhQ0IpCY2rsqBy8iXMkAZB14kjOf+45VHs7pevXR+TYe95/nziHI6oZ7fzhnS401tdPKcW2BQsYfOaZOLuR0c4fvWVReEKvDBsW2QN3A60oLE6sH8RoYwbXRTTxznA3+KyzQIS9H3wQkWMf+PhjBp1xRq/Pkkn0sihiff3KNmygfPt2xl53XcSO2WuKwgjmqBWFpsfY8eXpTaxfNNHGW1Gk9u/PwNNOY9Xjj3cK/Bb+cRUVO3d6Aij2Jt7JfWJ9/ba8+CJxCQmMuuqqiB0zMSOjVxRF+bZtJCQnkzZgQGQP3A20orA4dnx5ehPrF0208c2Z/fWnn6alro6vXn+9R8dtLC+nqaqKrBNP7GEPw8dhAotCKUVzTQ2b/v53Rl19dafowj0h0emMelDAtpYWdixcyLBvfMMUkY91CA+LY8eXZyD6gqz5kyeTkpvrCb3RXSqLXGkBs2OQ1S/R6aTu8OFO9b11/dqam/lTWhrOwkKaq6uZctddET1+bwxml65fT31pKaOvuSaq5wmV2KsqjSYIdlcOvhYFQMaQIT1WFBWGosg0kUXRW2x87jnaW1up2rOH/MmTI57Vz60olI9wkZTVrej7R2imVk/RisLi9BXXjG/ZLkRLURz68kscaWlRz6XsD+9f3L19/b546CE+uuMOz/f8KEwrdTidqPb2DrnBIcKKYtcuADKHD4/cQXuAVhQWp6+8SH3LdsGfosgcOpTqffs6/WINh/1LljD4zDN7LcaTN4Gmx0b7+rU1N7P6iScY9o1vMMSIlhuNXNKBkhdFWlGkFxREPcVpqGhFYXHs+PIMRF+R1Tl4MK2NjTSWl3dr/4qiIsq3bfO8LHsbR3o6zbW1UXXN+KN46VJaamuZ+MMfEp/kWp8SqbAd3iR5BQaMlkzl27fHZCJCILSisBF2fJHaUSZv/FkUaQMHAvgdEA6F7f/6F4gw+lvf6mn3ukWi0wlK0VJf36vXb8u8eTjS0iicNYvhF18MEJXpwYFCjUdK1sbKSg6vWkXBzJmROWAE0IrC4vQV14xv2S74VRTGvPm6kpJuHM9rJXKMcoW7c1K0+Pzijub1W/rgg2x58UVGXX01iWlpTPjBD/jh4cP0Gzs24ufyVhSRlm/3okW8fNZZqLY2hs+e3fMDRgitKCxOX3mR+pbtQjCLojaAoqgvK2P5o4/6DfVxdMsWynfsYOy110a8r6ESzRdpIIrefJM4h8OToElEohY11xEl+WoPHeKdq6+mcvduTvv5zxlk5KAwA3odhcXpKy9S37Jd8Kco0oO4nt699lq2v/QS4PLJX/neex22l65dCxjhQGKEd04KlXW8PlrXr7GigqObNzPzt7+NWDynYERDETbX1LB38WJa6uq4Yd068iZO7GEvI4tWFBbHji/PQPQVWR3p6SSkpvp1PbnjQA087TT2L1lCc01Nh1hOx7ZtI87hiOlAaFJmJoArY1+UFUXxsmX8a8YMoPeUo0dRVFdHRKbm2lqeMgbIE51O+vcwr3c00K4nG2HHF6kdZfLGn0UhImSdeCLFS5d2mjnU1tLC5Dvv5GuPPkpbUxMHP/+8w/ZjW7eSPWpUTKbFunGHS2+qqIjI9WtpaAi4bes//+kpFxgKI9pEejC7fPt2T3nAtGnExcd3u2/RQisKi9NXXDO+ZbvgT1EATLztNg6vWsXSX/7SU9dcW0tLbS1pAwcy8PTTiU9M5MAnn9DS0MC6p5+mraWFso0b6TduXC9K0JmkLJcZ0VhZ2e3r99Ubb3Dgs8/Y/I9/8KfUVKqN5EOBuGH9ekSkO90Nm0Rv11oE7k/vAJDDL7qoJ12LGtr1ZHH6yovUt2wXAimK8d//PnsWLWLV448z7b77SMrI8IxZpA8ciCMlhQHTprH2T39i1eOPG8dQVO/dy+Qf/ag3ReiEt0WR3M3r99YVVwDHc0TvWbSICT/4Qad29aWl5IwZ48o/3kt4J2eKxP1Z7qUoIhnlNpJoi8Li9JUXqW/ZLgRSFHEJCUz72c9ob2lh/TPP0NrU5FEU7umz+VOm0Nbc7NlniaEgYj1bJtHpBJFuWxTe7rbSdesAAuboaCgr69VUr26Ox3s6Xted+7P4iy/Yu3gxWSNG8IMDB8joxWyE4aAVhcWx48szEH1JVoCB06eTP3Uqn99/Px/cfDO1hw4Bx6fP5o4f32mflH79yJs8uVf76YvExZGUmUlTZWWH+lCvn++K9OxRozi8Zo3ftvVlZaTk5narnz3Bn6IIl93vvce/Zs7kyOrVZI0YEbN1L6GgFYWNsOOL1I4yeRPIogCIi4/nqg8+ICU3lz3vv8/W+fNJzs72zGhyLyYbfOaZnDBrFgC3lZaSYISviCXJ2dlhD2a7LYna4mJP3djrruPkm2+mZv9+GisqOu3TUFZGagwVhTfh3qsbnn3WU84cMiQS3YoaXSoKESkUkY9FZKuIbBGRO436x0Vku4hsFJE3RCTLqHeIyIsisklEtonIA17H2mvUrxeR1V71OSKyWES+Mv5mG/UiIk+JSJFxntj+VDIhfcU141u2C8EUBUBKTg5n//GPNJaXs/vdd5ly9904UlMBGHDqqUy+804ufOEFLn/3XX5UWWmKJDfgGtAOx/W09Z//ZG5KCnWlpcctpwEDOPP3v/esKTj4+efsfu89j0Jpb2uj4dixmFkUPVl5vvzRR9n19tue7xlWVxRAK3CPUmocMB24XUTGAYuBk5VS44GdgFshXA0kKaVOAaYAPxCRoV7HO0cpNVEp5R3/937gI6XUSOAj4zvAN4CRxmcO8Ez4ItqbvvIi9S3bha4UBcCw2bMZdPrpDL/oIqb97Gee+riEBGbNnUvW8OE4UlI86xfMQFJWVieLIqiiWLCAtqYmlv/2t7x/000AXPfllzgHD/bkk3jz0kt5/aKLPFOCG8rKQKmorcAORmJGBk0+6yhCuT+VUtSVlrJm7lwACs85B4C4xMRodDNidKkolFIlSqm1RrkG2AYUKKX+o5RqNZotB9wONgWkiUgCkAI0A9VdnOZS4EWj/CJwmVf9POViOZAlIgNDE61v0FdepL5luxCKokjt35/rli3jinffJd7kLxQ3ydnZYVkUcQmuCZjr/vxn6g4fJnPYMJzGwG5ydjbj58zxtN23eDGAZ8psNCLEdkV3B7NXPPooz+Tn01BWxuz585l2331A7CcgdEVYdqphGUwCVvhsuhlYZJRfBeqAEmA/8EellHt0SgH/EZE1IjLHa/98pZR7GephwP0ToQA44NXuoFHn2685IrJaRFaXlZWFI5JGo4kCSVlZnQazg1Hjs07imwsXdlh4Nuupp/jBwYMMOuMMdrz8MrWHDrHi0UcBcMZQUYSLO/zKuO98hxMvuYRhF1zAjyorKTjjjEh3MaKErChEJB14DbhLKVXtVf8LXO6pBUbVNKANGAQMA+4REXeapplKqcm4XEq3i8iZvudRLgdkWL8dlVJ/U0pNVUpNzY2BvzKW9JVf3L5luxCKRWFFkrOzaQzD9VS9bx+jrr7a89130WBCUhLOggJO/9WvqPjqK/5aUEDRW28BsbEokjIzaa6qor39uFBdXcPqAwc4unkzZ/3xj8yeP9+T18JMLsNAhKQoRMSBS0ksUEq97lX/PeBi4Hp1fPLzdcD7SqkWpVQp8AUwFUApVWz8LQXewKVUAI64XUrG31Kjvhjwnlg82KjTGPSVF6lv2S7YVVEkZWXRWl9Pa3OLpy6QjP++/nqaqqoYcOqpZI8ahcTHewbsfRl2wQV+z9XbJOfk0NbcTHPd8XSoXV3DQ8uWAXCCMS5hJUKZ9STA88A2pdSTXvUXAj8DLlFKeSeP3Q/MMtqk4RoA3y4iaSLi9Ko/H9hs7PM2cKNRvhF4y6v+BmP203SgystFpaHvvEh9y3bBzooCoLHq+PCkPxk/e+ABtv3f/xGfmMiYb3+bG9at4/Yu3MeXvPYaQy+80LPQrrdCd3jjXn3ecMzXAwAACaBJREFUWHHcvdbVNSxZvpyElBRTBv3rilBCeMwAvgtsEhF3APyfA08BScBi40ItV0rdCjwNvCAiWwABXlBKbTTcT28YbROA/1NKvW8c7zFgoYjcAuwD3Km53gNmA0VAPXBTT4S1I33lRepbtgt2VRTuF2lzdQ3QD+gsY1N1NSsfewxwxWpyu5ACWRNuRl1xBaOuuILm2toOK9N7kyS3oiivwD1sGuwaqvZ29rz/PgOmTYtpwMbu0qWiUEotxfXC9+U9P3UopWpxTZH1rd8N+A3IopQ6Bpzrp14Bt3fVR41GYy7cFkWgAd/V//3fnsHoKxct6lYmOndwvliQkpMDuAIfhsL+JUso376d6b/4RTS7FTXMsTpH0236yi9u37JdsK1FYSiKpurjisJbxjVz59Jw9Chg/qmh/vBYFJVVnrpg17Bk5UoARlx2WeBGJkZHj7U4feVF6lu2C3ZVFO4Xqa+iaGtupqm6moayMobNns2EOXMsMevHl2S3RVF+PKxIsGtYsXMn6QUFMbWCeoJWFBanr7xIfct2wa6KItmTk6LjL+55kyZxbOtWAIZ94xuMuPTSmPSvp7jHYBpCtCjKd+wge9SoaHcramjXk8Wx2wsmGH1JVquTNmAAKbm5rHzsd5668q+KPEoCIHPYsFh0LSIkOp1IfHyHWU+BaKqqonzbNnK0otCYATu+SO0okzd2tSgkLo6Bp52G8poH89Xrr3dokzV8uO9ulkFEXBFyK7ueHrvkrrtoqatj7PXX91LvIo9WFBanr7hmfMt2wa6KAmDW3Lk40jM832uKiznxkks83zOGDo1BryKHS1EEdz3VHjrE1vnzmXTHHQz+2td6sXeRRSsKi9NXXqS+ZbtgZ0WRdeKJnPuXpz3fU/MGMPXuuz3fHSkpsehWxEjKzu5ywV3Zpk2otjZGGqldrYoezLY4feVF6lu2C3ZWFAD9xp3kKY+44krSB/X+KupokZyTQ9Xh4CvPaw64Ypo6TZriNFS0RaHRaHqFnFGjSI1B7oho4c7i54+KoiKaa2rY9PzzIEJ6Qaeg15ZCWxQWp6/84vYt2wW7WxS+1y/R6QRgipcLyqokZ2f7jWVV9PbbvHnppTgHD6bm4EEAS4bt8EYrCovTV16kvmW70NcUhYhwr02ETc7JocmPoti/ZAmAR0nYAe16sjh95UXqW7YLfU1R2Ink7GzavYRyF49u3tyh3Snf/35vdisqaEVhcez8IELfkc+OsoG9r58rjMfxwXmloL21lZLlyz11w2bP5oLnnotB7yKLVhQajUbTDQb5SV9atnEjLXV1njEYdxY7q6PHKCyOnX+xQd+Rz46ygb2vX86oUQw6Yya4EtdRV1rG5w88AMCUu+6i4IwzKJg5M4Y9jBxaUVgcOz+I0Hfks6NsYP/r1+/kUzyKYtc777C34T/kTZpERmEhGRZfO+GNdj1ZHLs/iH1FPjvKBva/flkjjwf6a2loBOCC//3fWHUnamhFYXHs/iD2FfnsKBvY//pljxjpKSuEy995h/zJk2PYo+igFYVGo9F0k2yvFK6pubkMOe+8GPYmeoiymZqfOnWqWr16ddj7ffABWHGx6KFD4I50PGIEJCbGtj+RpqzM9QEYMgTS0mLbn0jjTs+QkgIWTs8QkLo62LfPVc7NdX3sRHMzFBW5ypnOVgoKYzvse8st3X+PicgapdRUf9v0YLZBRgaMGxfrXoTPuHFQUABHj0JTU6x7Ex3y8qChAWpqum5rNU4+2aUA9+yJdU+ixznnuBT8kSOx7kl0GD/iGI6qr2grOC3WXSFaobS0ojA4/XR45ZVY90Kj0ViPfsbHvugxCo1Go9EERSsKjUaj0QRFKwqNRqPRBEUrCo1Go9EERSsKjUaj0QRFKwqNRqPRBEUrCo1Go9EERSsKjUaj0QTFdiE8RKQM2NfN3fsDRyPYHSugZe4baJn7Bj2ReYhSym+QFdspip4gIqsDxTqxK1rmvoGWuW8QLZm160mj0Wg0QdGKQqPRaDRB0YqiI3+LdQdigJa5b6Bl7htERWY9RqHRaDSaoGiLQqPRaDRB0YpCo9FoNEHRisJARC4UkR0iUiQi98e6P5FCRP4uIqUistmrLkdEFovIV8bfbKNeROQp43+wUUQsmSVeRApF5GMR2SoiW0TkTqPetnKLSLKIrBSRDYbM/2XUDxORFYZsL4tIolGfZHwvMrYPjWX/u4uIxIvIOhF51/hua3kBRGSviGwSkfUistqoi+q9rRUFrpsNeBr4BjAOuFZELJgY1S//AC70qbsf+EgpNRL4yPgOLvlHGp85wDO91MdI0wrco5QaB0wHbjeup53lbgJmKaUmABOBC0VkOvB74L+VUiOACuAWo/0tQIVR/99GOytyJ7DN67vd5XVzjlJqoteaieje20qpPv8BTgc+8Pr+APBArPsVQfmGApu9vu8ABhrlgcAOo/wscK2/dlb+AG8B5/UVuYFUYC1wGq5VuglGvec+Bz4ATjfKCUY7iXXfw5RzsPFSnAW8C4id5fWSey/Q36cuqve2tihcFAAHvL4fNOrsSr5SqsQoHwbcKdlt938wXAyTgBXYXG7DDbMeKAUWA7uASqVUq9HEWy6PzMb2KqyX+Hku8DOg3fjeD3vL60YB/xGRNSIyx6iL6r2d0N2eauyBUkqJiC3nSItIOvAacJdSqlpEPNvsKLdSqg2YKCJZwBvAmBh3KWqIyMVAqVJqjYicHev+9DIzlVLFIpIHLBaR7d4bo3Fva4vCRTFQ6PV9sFFnV46IyEAA42+pUW+b/4OIOHApiQVKqdeNatvLDaCUqgQ+xuV6yRIR9w9Cb7k8MhvbM4FjvdzVnjADuERE9gIv4XI//Qn7yutBKVVs/C3F9YNgGlG+t7WicLEKGGnMmEgErgHejnGfosnbwI1G+UZcPnx3/Q3GTInpQJWXOWsZxGU6PA9sU0o96bXJtnKLSK5hSSAiKbjGZLbhUhhXGc18ZXb/L64ClijDiW0FlFIPKKUGK6WG4npelyilrsem8roRkTQRcbrLwPnAZqJ9b8d6YMYsH2A2sBOXX/cXse5PBOX6F1ACtODyT96Cyzf7EfAV8CGQY7QVXLO/dgGbgKmx7n83ZZ6Jy4+7EVhvfGbbWW5gPLDOkHkz8CujfjiwEigCXgGSjPpk43uRsX14rGXogexnA+/2BXkN+TYYny3ud1W0720dwkOj0Wg0QdGuJ41Go9EERSsKjUaj0QRFKwqNRqPRBEUrCo1Go9EERSsKjUaj0QRFKwqNRqPRBEUrCo1Go9EE5f8Dt94qZx1cSesAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "an_x_1 = ir_slice\n",
    "an_y_1 = red_slice\n",
    "\n",
    "def compute_exact_ir_valleys(an_ir_valley_locs, an_x):\n",
    "    an_exact_ir_valley_locs = []\n",
    "    for k in range(0, len(an_ir_valley_locs)):\n",
    "        m = an_ir_valley_locs[k]\n",
    "        n_c_min = 2**24\n",
    "\n",
    "        if m + 10 < len(an_x) and m - 10 > 0:\n",
    "            for i in range(m-10, m+10):\n",
    "                if an_x[i] < n_c_min:\n",
    "                    n_c_min = an_x[i]\n",
    "                    if len(an_exact_ir_valley_locs) > k:\n",
    "                        an_exact_ir_valley_locs[k] = i\n",
    "                    else:\n",
    "                        an_exact_ir_valley_locs.append(i)\n",
    "    return an_exact_ir_valley_locs\n",
    "\n",
    "print(an_ir_valley_locs_1)\n",
    "x = numpy.zeros(len(an_x_1)) + min(an_x_1)\n",
    "x[an_ir_valley_locs_1] += max(an_x_1) - min(an_x_1)\n",
    "plt.plot(an_x_1[00:500], color='darkred')\n",
    "#plt.plot(x[00:500], color='green')\n",
    "\n",
    "\n",
    "an_exact_ir_valley_locs_1 = compute_exact_ir_valleys(an_ir_valley_locs_1, an_x_1)\n",
    "\n",
    "print(an_exact_ir_valley_locs_1)\n",
    "x = numpy.zeros(len(an_x_1)) + min(an_x_1)\n",
    "x[an_exact_ir_valley_locs_1] += max(an_x_1) - min(an_x_1)\n",
    "plt.plot(x[00:500], color='blue')\n",
    "\n",
    "# Not sure what they are trying to do here. They found the peaks in the\n",
    "# derivative and are now trying to find \"valleys\" around sections with\n",
    "# maximum slope. Not acutally hitting the real valleys."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "an_x_2 = moving_average(an_x_1)\n",
    "an_y_2 = moving_average(an_y_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "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"
    },
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7fc3e7967400>]"
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      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "def compute_an_ratio(an_exact_ir_valley_locs, an_x, an_y):\n",
    "    peaks_x = []\n",
    "    an_ratio = []\n",
    "\n",
    "    for k in range(len(an_exact_ir_valley_locs)-1):\n",
    "        n_y_dc_max = -1\n",
    "        n_x_dc_max = -1\n",
    "        if an_exact_ir_valley_locs[k + 1] - an_exact_ir_valley_locs[k] > 10:\n",
    "            \n",
    "            # Find value and location of DC peak\n",
    "            for i in range(an_exact_ir_valley_locs[k], an_exact_ir_valley_locs[k+1]):\n",
    "                if an_x[i] > n_x_dc_max:\n",
    "                    n_x_dc_max = an_x[i]\n",
    "                    n_x_dc_max_idx = i\n",
    "                if an_y[i] > n_y_dc_max:\n",
    "                    n_y_dc_max = an_y[i]\n",
    "                    n_y_dc_max_idx = i\n",
    "\n",
    "            # Calculate AC component of red signal\n",
    "            n_y_ac = (an_y[an_exact_ir_valley_locs[k+1]] - an_y[an_exact_ir_valley_locs[k]]) * (n_y_dc_max_idx - an_exact_ir_valley_locs[k])\n",
    "            n_y_ac = an_y[an_exact_ir_valley_locs[k]] + n_y_ac / (an_exact_ir_valley_locs[k+1] - an_exact_ir_valley_locs[k])\n",
    "            n_y_ac = an_y[n_y_dc_max_idx] - n_y_ac\n",
    "            \n",
    "            a = an_exact_ir_valley_locs[k]\n",
    "            b = n_x_dc_max_idx\n",
    "            c = an_exact_ir_valley_locs[k+1]\n",
    "            # Calculate AC component of ir signal\n",
    "            n_x_ac = (an_x[c] - an_x[a]) * (b - a) / (c - a)\n",
    "            n_x_ac = an_x[a] + n_x_ac\n",
    "            n_x_ac = an_x[b] - n_x_ac\n",
    "            \n",
762
763
    "            #print(int(n_x_ac), int(an_x[n_x_dc_max_idx]))\n",
    "            #print(int(max(an_x[a:c]) - min(an_x[a:c])), int(an_x[n_x_dc_max_idx]))\n",
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    "\n",
    "            n_nume = int(n_y_ac * n_x_dc_max) >> 7;\n",
    "            n_denom = int(n_x_ac * n_y_dc_max) >> 7;\n",
    "\n",
    "            if n_denom > 0 and len(an_ratio) < 5 and not n_nume == 0:\n",
    "                an_ratio.append(n_nume / n_denom)\n",
    "\n",
    "            peaks_x.append(n_x_dc_max_idx)\n",
    "        \n",
    "    return (an_ratio, peaks_x)\n",
    "\n",
    "\n",
    "plt.plot(an_x_2[:], color='darkred')\n",
    "x = numpy.zeros(len(an_x_2)) + min(an_x_2)\n",
    "x[an_exact_ir_valley_locs_1] += max(an_x_2) - min(an_x_2)\n",
    "plt.plot(x[:], color='blue')\n",
    "plt.show()\n",
    "\n",
    "an_ratio_1, peaks_x_1 = compute_an_ratio(an_exact_ir_valley_locs_1, an_x_2, an_y_2)\n",
    "x = numpy.zeros(len(an_x_2)) + min(an_x_2)\n",
    "x[peaks_x_1] += max(an_x_2) - min(an_x_2)\n",
    "plt.plot(an_x_2[:], color='darkred')\n",
    "plt.plot(x[:], color='green')\n",
    "#x = numpy.zeros(len(an_x_2)) + min(an_x_2)\n",
    "#x[an_exact_ir_valley_locs_1] += max(an_x_2) - min(an_x_2)\n",
    "#plt.plot(x[:], color='blue')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.40492324546625513, 0.42086700451992876, 0.45800740916884647, 0.4608099882507821]\n"
     ]
    }
   ],
   "source": [
    "an_ratio_2 = an_ratio_1[:]\n",
    "an_ratio_2.sort()\n",
    "print(an_ratio_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4394372068443876\n"
     ]
    }
   ],
   "source": [
    "def compute_n_ratio_average(an_ratio):\n",
    "    if len(an_ratio) == 0:\n",
    "        return 0\n",
    "    n_middle_idx = len(an_ratio) // 2\n",
    "    if n_middle_idx > 1:\n",
    "        n_ratio_average = (an_ratio[n_middle_idx - 1] + an_ratio[n_middle_idx])/2\n",
    "    else:\n",
    "        n_ratio_average = an_ratio[n_middle_idx]\n",
    "    return n_ratio_average\n",
    "\n",
    "n_ratio_average_1 = compute_n_ratio_average(an_ratio_2)\n",
    "print(n_ratio_average_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99.48236302886512\n"
     ]
    }
   ],
   "source": [
    "def compute_spo2_from_ratio(n_ratio_average):\n",
    "    if n_ratio_average > 0.02 and n_ratio_average < 1.84:\n",
    "        ratioAverage = n_ratio_average\n",
    "        return -45.060 * ratioAverage * ratioAverage + 30.354 * ratioAverage + 94.845\n",
    "    return 0\n",
    "print(compute_spo2_from_ratio(n_ratio_average_1))"
   ]
  },
  {
   "cell_type": "code",
863
   "execution_count": 25,
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   "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"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[68, 159, 251, 266, 343, 436]\n",
      "[343, 159, 251, 68, 436, 266]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "65.2 bpm\n",
      "[76, 168, 259, 352, 444]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R = 0.439\n",
      "99.5 %\n"
     ]
    }
   ],
   "source": [
    "def compute_spo2(data_ir, data_red):\n",
    "    an_x = dc_removal(data_ir)\n",
    "    an_x = moving_average(an_x)\n",
    "    an_dx = diff(an_x)\n",
    "    an_dx = moving_average(an_dx, 2)\n",
    "    HW = numpy.hamming(5)\n",
    "    an_dx = numpy.convolve(-an_dx, HW) / sum(HW)\n",
    "    n_th1 = sum(abs(an_dx))/ len(an_dx) * 1.0\n",
    "    \n",
    "    x = numpy.zeros(len(an_dx)) + n_th1\n",
    "    plt.plot(an_dx, color='darkred')\n",
    "    plt.plot(x, color='green')\n",
    "    plt.show()\n",
    "\n",
    "    pn_locs = maxim_peaks_above_min_height(an_dx, n_th1)\n",
    "    \n",
    "    min_dist = 100/(200/60) # 100 sps and max 200 bpm\n",
    "    an_dx_peak_locs = maxim_find_peaks(an_dx, n_th1, 100/(200/60), 5)\n",
    "    \n",
    "    x = numpy.zeros(len(an_dx))\n",
    "    x[an_dx_peak_locs] = 100\n",
    "    plt.plot(an_dx, color='darkred')\n",
    "    plt.plot(x, color='green')\n",
    "    plt.show()\n",
    "\n",
    "    hr = compute_bpm(an_dx_peak_locs)\n",
    "    if hr:\n",
    "        print(f'{hr:.1f} bpm')\n",
    "    an_ir_valley_locs = numpy.array(an_dx_peak_locs) #+ (len(HW) // 2)\n",
    "\n",
    "    an_x = data_ir\n",
    "    an_y = data_red\n",
    "    an_exact_ir_valley_locs = compute_exact_ir_valleys(an_ir_valley_locs, an_x)\n",
    "    print(an_exact_ir_valley_locs)\n",
    "    \n",
    "    an_x = numpy.concatenate((moving_average(an_x), an_x[-4:]))\n",
    "    an_y = numpy.concatenate((moving_average(an_y), an_y[-4:]))\n",
    "\n",
    "    x = numpy.zeros(len(an_x))\n",
    "    x[an_exact_ir_valley_locs] = max(an_x) - min(an_x)\n",
    "    x += min(an_x)\n",
    "    plt.plot(an_x, color='darkred')\n",
    "    plt.plot(x, color='green')\n",
    "    plt.show()\n",
    "    \n",
    "    an_ratio, _ = compute_an_ratio(an_exact_ir_valley_locs, an_x, an_y)\n",
    "    #print(an_ratio)\n",
    "    an_ratio.sort()\n",
    "    n_ratio_average = compute_n_ratio_average(an_ratio)\n",
    "    print(f'R = {n_ratio_average:.3f}')\n",
    "    return compute_spo2_from_ratio(n_ratio_average), hr\n",
    "\n",
    "\n",
    "spo2, hr = compute_spo2(ir_slice, red_slice)\n",
    "print(f'{spo2:.1f} %')"
   ]
  },
  {
   "cell_type": "code",
987
   "execution_count": 26,
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   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[68, 159, 251, 266, 343, 436]\n",
      "[343, 159, 251, 68, 436, 266]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "65.2 bpm\n",
      "[76, 168, 259, 352, 444]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R = 0.439\n",
1054
      "100\n"
1055
1056
1057
1058
     ]
    },
    {
     "data": {
1059
      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "[59, 151, 166, 243, 336, 431]\n",
      "[243, 59, 431, 151, 336, 166]\n"
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     ]
    },
    {
     "data": {
1079
      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "64.5 bpm\n",
      "[68, 159, 252, 344, 440]\n"
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     ]
    },
    {
     "data": {
1099
      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "R = 0.447\n",
      "200\n"
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     ]
    },
    {
     "data": {
1119
      "image/png": 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\n",
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1122
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1125
1126
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
1133
1134
      "[51, 66, 143, 236, 331, 430]\n",
      "[143, 331, 51, 236, 430, 66]\n"
1135
1136
1137
1138
     ]
    },
    {
     "data": {
1139
      "image/png": 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