{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "developed-still",
   "metadata": {},
   "source": [
    "As a research of bird behavior I am tracking birds with accelerometers using the https://uva-bits.nl system. To study the birds energy usage I want to create a machine learning model. To train this model I need some artificial data. \n",
    "\n",
    "# Real data set\n",
    "\n",
    "The https://github.com/NLeSC/eEcology-Annotation-UI/raw/master/demo/tracker.json was derived from the uva-bits database of tracker 355 on 2010-06-28."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "understanding-repair",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Float64Index: 40 entries, 0.0 to 1.95\n",
      "Data columns (total 3 columns):\n",
      " #   Column  Non-Null Count  Dtype  \n",
      "---  ------  --------------  -----  \n",
      " 0   x       40 non-null     float64\n",
      " 1   y       40 non-null     float64\n",
      " 2   z       40 non-null     float64\n",
      "dtypes: float64(3)\n",
      "memory usage: 1.2 KB\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "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": [
    "import json\n",
    "import urllib.request\n",
    "import pandas as pd\n",
    "\n",
    "with urllib.request.urlopen('https://github.com/NLeSC/eEcology-Annotation-UI/raw/master/demo/tracker.json') as f:\n",
    "    data = json.load(f)\n",
    "\n",
    "frame = 34\n",
    "df = pd.DataFrame({\n",
    "    'x': data[frame]['x_acceleration'],\n",
    "    'y': data[frame]['y_acceleration'], \n",
    "    'z': data[frame]['z_acceleration']}, \n",
    "    index=data[frame]['time_acceleration']\n",
    ")\n",
    "df.info()\n",
    "df.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "natural-administration",
   "metadata": {},
   "source": [
    "# Let us recreate this with sequgen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "collective-chase",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sequgen.deterministic.sine import sine\n",
    "from sequgen.deterministic.constant import constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "extended-victoria",
   "metadata": {},
   "outputs": [],
   "source": [
    "t_predict = np.linspace(0, 2, 40) # 2 seconds of 20Hz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "authentic-brief",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = sine(t_predict, wavelength=2/6, amplitude=0.25, phase_shift=0.25) + \\\n",
    "    sine(t_predict, wavelength=2/6, amplitude=0.1, phase_shift=0.1) + \\\n",
    "    constant(t_predict, -0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "cloudy-singles",
   "metadata": {},
   "outputs": [],
   "source": [
    "z = sine(t_predict, \n",
    "         wavelength=2/6, # 6 flaps in 2 seconds\n",
    "         amplitude=1, \n",
    "         phase_shift=0.05) + constant(t_predict, 1) # add Earths gravity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "significant-soundtrack",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = sine(t_predict, wavelength=2/6, amplitude=0.25, phase_shift=0.05) + \\\n",
    "    sine(t_predict, wavelength=2/6, amplitude=0.1, phase_shift=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "patent-illness",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 83,
     "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": [
    "pd.DataFrame({'x':x, 'y':y, 'z': z}, index=t_predict).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "alien-breed",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}