Example.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:47.386403700Z",
     "start_time": "2024-09-02T16:53:47.349187400Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Default units:\n",
      "angular = degree\n",
      "distance = yard\n",
      "velocity = fps\n",
      "pressure = inHg\n",
      "temperature = fahrenheit\n",
      "diameter = inch\n",
      "length = inch\n",
      "weight = grain\n",
      "adjustment = mil\n",
      "drop = inch\n",
      "energy = foot-pound\n",
      "ogw = pound\n",
      "sight_height = inch\n",
      "target_height = inch\n",
      "twist = inch\n"
     ]
    }
   ],
   "source": [
    "# Uncomment pyximport to compile instead of running pure python\n",
    "#import pyximport; pyximport.install(language_level=3)\n",
    "\n",
    "import copy\n",
    "import math\n",
    "import pandas\n",
    "from matplotlib import pyplot as plt\n",
    "from py_ballisticcalc import TableG7, TableG1\n",
    "from py_ballisticcalc import Ammo, Atmo, Wind\n",
    "from py_ballisticcalc import Weapon, Shot, Calculator\n",
    "from py_ballisticcalc import PreferredUnits, set_global_use_powder_sensitivity\n",
    "from py_ballisticcalc.drag_model import *\n",
    "from py_ballisticcalc.unit import *\n",
    "\n",
    "print(\"Default units:\\n\"+str(PreferredUnits))  # Print default units"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple Zero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:47.444508500Z",
     "start_time": "2024-09-02T16:53:47.388402900Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Barrel elevation for 100.0yd zero: 1.334mil\n"
     ]
    }
   ],
   "source": [
    "# Establish 100-yard zero for a standard .308, G7 BC=0.22, muzzle velocity 2600fps\n",
    "zero = Shot(weapon=Weapon(sight_height=2), ammo=Ammo(DragModel(0.22, TableG7), mv=Velocity.FPS(2600)))\n",
    "calc = Calculator()\n",
    "zero_distance = Distance.Yard(100)\n",
    "zero_elevation = calc.set_weapon_zero(zero, zero_distance)\n",
    "print(f'Barrel elevation for {zero_distance} zero: {zero_elevation << PreferredUnits.adjustment}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Trajectory with Danger Space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:47.855528400Z",
     "start_time": "2024-09-02T16:53:47.416857700Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "300.0yd\n",
      "Danger space at 300.0yd for 19.7inch tall target ranges from 217.1yd to 355.8yd\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot trajectory out to 1000 yards\n",
    "shot_result = calc.fire(zero, trajectory_range=500, extra_data=True)\n",
    "ax = shot_result.plot()\n",
    "# Find danger space for a half-meter tall target at 300 yards\n",
    "danger_space = shot_result.danger_space(Distance.Yard(300), Distance.Meter(.5))\n",
    "print(danger_space)\n",
    "danger_space.overlay(ax)  # Highlight danger space on the plot\n",
    "plt.show()\n",
    "# fig = ax.get_figure()\n",
    "# fig.patch.set_alpha(0.0)  # Transparent figure background\n",
    "# ax.patch.set_alpha(0.0)   # Transparent axes background\n",
    "# fig.savefig('./demo.png', transparent=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Print Range Card"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:47.951392200Z",
     "start_time": "2024-09-02T16:53:47.845022900Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "              time     velocity       mach  target_drop     drop_adj  \\\ndistance                                                               \n0.0 yd     0.000 s  2600.0 ft/s  2.33 mach    -2.0 inch    0.000 mil   \n100.0 yd   0.120 s  2398.1 ft/s  2.15 mach    -0.0 inch   -0.000 mil   \n200.0 yd   0.251 s  2205.5 ft/s  1.98 mach    -4.1 inch   -0.574 mil   \n300.0 yd   0.393 s  2022.3 ft/s  1.81 mach   -15.3 inch   -1.441 mil   \n400.0 yd   0.548 s  1847.5 ft/s  1.65 mach   -35.0 inch   -2.478 mil   \n500.0 yd   0.718 s  1680.1 ft/s  1.50 mach   -65.0 inch   -3.678 mil   \n600.0 yd   0.906 s  1519.5 ft/s  1.36 mach  -107.3 inch   -5.061 mil   \n700.0 yd   1.114 s  1366.0 ft/s  1.22 mach  -164.8 inch   -6.660 mil   \n800.0 yd   1.347 s  1221.3 ft/s  1.09 mach  -240.9 inch   -8.521 mil   \n900.0 yd   1.607 s  1093.2 ft/s  0.98 mach  -340.5 inch  -10.705 mil   \n1000.0 yd  1.891 s  1029.8 ft/s  0.92 mach  -469.0 inch  -13.268 mil   \n\n             windage windage_adj      angle   drag  \ndistance                                            \n0.0 yd      0.0 inch   0.000 mil   0.0750 °  0.000  \n100.0 yd    0.4 inch   0.119 mil  -0.0137 °  0.658  \n200.0 yd    1.7 inch   0.247 mil  -0.1183 °  0.626  \n300.0 yd    4.1 inch   0.386 mil  -0.2424 °  0.596  \n400.0 yd    7.6 inch   0.537 mil  -0.3905 °  0.570  \n500.0 yd   12.4 inch   0.703 mil  -0.5688 °  0.547  \n600.0 yd   18.8 inch   0.886 mil  -0.7856 °  0.524  \n700.0 yd   27.0 inch   1.090 mil  -1.0523 °  0.499  \n800.0 yd   37.3 inch   1.318 mil  -1.3842 °  0.465  \n900.0 yd   50.0 inch   1.572 mil  -1.8006 °  0.326  \n1000.0 yd  64.8 inch   1.835 mil  -2.2954 °  0.159  ",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>time</th>\n      <th>velocity</th>\n      <th>mach</th>\n      <th>target_drop</th>\n      <th>drop_adj</th>\n      <th>windage</th>\n      <th>windage_adj</th>\n      <th>angle</th>\n      <th>drag</th>\n    </tr>\n    <tr>\n      <th>distance</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0.0 yd</th>\n      <td>0.000 s</td>\n      <td>2600.0 ft/s</td>\n      <td>2.33 mach</td>\n      <td>-2.0 inch</td>\n      <td>0.000 mil</td>\n      <td>0.0 inch</td>\n      <td>0.000 mil</td>\n      <td>0.0750 °</td>\n      <td>0.000</td>\n    </tr>\n    <tr>\n      <th>100.0 yd</th>\n      <td>0.120 s</td>\n      <td>2398.1 ft/s</td>\n      <td>2.15 mach</td>\n      <td>-0.0 inch</td>\n      <td>-0.000 mil</td>\n      <td>0.4 inch</td>\n      <td>0.119 mil</td>\n      <td>-0.0137 °</td>\n      <td>0.658</td>\n    </tr>\n    <tr>\n      <th>200.0 yd</th>\n      <td>0.251 s</td>\n      <td>2205.5 ft/s</td>\n      <td>1.98 mach</td>\n      <td>-4.1 inch</td>\n      <td>-0.574 mil</td>\n      <td>1.7 inch</td>\n      <td>0.247 mil</td>\n      <td>-0.1183 °</td>\n      <td>0.626</td>\n    </tr>\n    <tr>\n      <th>300.0 yd</th>\n      <td>0.393 s</td>\n      <td>2022.3 ft/s</td>\n      <td>1.81 mach</td>\n      <td>-15.3 inch</td>\n      <td>-1.441 mil</td>\n      <td>4.1 inch</td>\n      <td>0.386 mil</td>\n      <td>-0.2424 °</td>\n      <td>0.596</td>\n    </tr>\n    <tr>\n      <th>400.0 yd</th>\n      <td>0.548 s</td>\n      <td>1847.5 ft/s</td>\n      <td>1.65 mach</td>\n      <td>-35.0 inch</td>\n      <td>-2.478 mil</td>\n      <td>7.6 inch</td>\n      <td>0.537 mil</td>\n      <td>-0.3905 °</td>\n      <td>0.570</td>\n    </tr>\n    <tr>\n      <th>500.0 yd</th>\n      <td>0.718 s</td>\n      <td>1680.1 ft/s</td>\n      <td>1.50 mach</td>\n      <td>-65.0 inch</td>\n      <td>-3.678 mil</td>\n      <td>12.4 inch</td>\n      <td>0.703 mil</td>\n      <td>-0.5688 °</td>\n      <td>0.547</td>\n    </tr>\n    <tr>\n      <th>600.0 yd</th>\n      <td>0.906 s</td>\n      <td>1519.5 ft/s</td>\n      <td>1.36 mach</td>\n      <td>-107.3 inch</td>\n      <td>-5.061 mil</td>\n      <td>18.8 inch</td>\n      <td>0.886 mil</td>\n      <td>-0.7856 °</td>\n      <td>0.524</td>\n    </tr>\n    <tr>\n      <th>700.0 yd</th>\n      <td>1.114 s</td>\n      <td>1366.0 ft/s</td>\n      <td>1.22 mach</td>\n      <td>-164.8 inch</td>\n      <td>-6.660 mil</td>\n      <td>27.0 inch</td>\n      <td>1.090 mil</td>\n      <td>-1.0523 °</td>\n      <td>0.499</td>\n    </tr>\n    <tr>\n      <th>800.0 yd</th>\n      <td>1.347 s</td>\n      <td>1221.3 ft/s</td>\n      <td>1.09 mach</td>\n      <td>-240.9 inch</td>\n      <td>-8.521 mil</td>\n      <td>37.3 inch</td>\n      <td>1.318 mil</td>\n      <td>-1.3842 °</td>\n      <td>0.465</td>\n    </tr>\n    <tr>\n      <th>900.0 yd</th>\n      <td>1.607 s</td>\n      <td>1093.2 ft/s</td>\n      <td>0.98 mach</td>\n      <td>-340.5 inch</td>\n      <td>-10.705 mil</td>\n      <td>50.0 inch</td>\n      <td>1.572 mil</td>\n      <td>-1.8006 °</td>\n      <td>0.326</td>\n    </tr>\n    <tr>\n      <th>1000.0 yd</th>\n      <td>1.891 s</td>\n      <td>1029.8 ft/s</td>\n      <td>0.92 mach</td>\n      <td>-469.0 inch</td>\n      <td>-13.268 mil</td>\n      <td>64.8 inch</td>\n      <td>1.835 mil</td>\n      <td>-2.2954 °</td>\n      <td>0.159</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Range card for this zero with 5mph cross-wind from left to right\n",
    "zero.winds = [Wind(Velocity.MPH(5), Angular.OClock(3))]\n",
    "range_card = calc.fire(zero, trajectory_range=1000)\n",
    "# for p in range_card: print(p.formatted())\n",
    "range_card.dataframe().to_clipboard()\n",
    "range_card.dataframe(True).drop(['height', 'look_distance', 'density_factor', 'energy', 'ogw', 'flag'], axis=1).set_index('distance')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Firing Solutions\n",
    "\n",
    "## Different Distance, from Range Card\n",
    "\n",
    "First approach here shows getting firing solution by looking up the adjustment in the Range Card:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:48.059308300Z",
     "start_time": "2024-09-02T16:53:47.949393Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Zero trajectory hits -65.0inch at 500.0yd\n",
      "Sight adjustment to hit 500.0yd target is -3.678mil\n",
      "After adjustment: drop at 500.0yd is -0.0inch\n"
     ]
    }
   ],
   "source": [
    "# Now shooter is sighting a target at look-distance 500 yard (zero.look-angle):\n",
    "new_target_distance = Distance.Yard(500)\n",
    "# Get row for this distance from the range card\n",
    "new_target = range_card.get_at_distance(new_target_distance)\n",
    "print(f'Zero trajectory hits {new_target.target_drop << PreferredUnits.drop}'\n",
    "      f' at {(new_target.distance << PreferredUnits.distance)}')\n",
    "\n",
    "# Shooter looks up adjustment to hit new target:\n",
    "hold = new_target.drop_adj  # << Firing solution\n",
    "\n",
    "print(f'Sight adjustment to hit {(new_target.distance << PreferredUnits.distance)} target'\n",
    "      f' is {(hold << PreferredUnits.adjustment)}')\n",
    "# Shooter dials that hold value for a 500-yard shot.  Verification:\n",
    "range_card.shot.relative_angle = Angular(-hold.unit_value, hold.units)\n",
    "adjusted_result = calc.fire(range_card.shot, trajectory_range=1000)\n",
    "trajectory_adjusted = adjusted_result.get_at_distance(new_target_distance)\n",
    "print(f'After adjustment: drop at {trajectory_adjusted.distance << PreferredUnits.distance}'\n",
    "      f' is {trajectory_adjusted.target_drop << PreferredUnits.drop}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Different Look Angle\n",
    "\n",
    "Second approach here shows solving for barrel elevation to hit new target, then adjusting by the difference between that and the zero barrel elevation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:48.353800900Z",
     "start_time": "2024-09-02T16:53:48.040660600Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "To hit target at look-distance of 500.0yd sighted at a 25.84° look-angle, barrel elevation=4.553mil\n",
      "Current zero has barrel elevated 1.334mil so hold for new shot is 3.219mil\n",
      "(Horizontal component of distance to this target is 450.0yd)\n"
     ]
    },
    {
     "data": {
      "text/plain": "             time     velocity       mach target_drop    drop_adj    windage  \\\ndistance                                                                       \n0.0 yd    0.000 s  2600.0 ft/s  2.33 mach   -1.8 inch   0.000 mil   0.0 inch   \n50.0 yd   0.066 s  2485.7 ft/s  2.23 mach    6.4 inch   3.234 mil   0.1 inch   \n100.0 yd  0.134 s  2374.5 ft/s  2.13 mach   13.0 inch   3.293 mil   0.5 inch   \n150.0 yd  0.206 s  2266.4 ft/s  2.03 mach   17.8 inch   3.021 mil   1.2 inch   \n200.0 yd  0.282 s  2161.5 ft/s  1.94 mach   20.8 inch   2.646 mil   2.2 inch   \n250.0 yd  0.361 s  2059.7 ft/s  1.85 mach   21.7 inch   2.210 mil   3.5 inch   \n300.0 yd  0.444 s  1960.8 ft/s  1.76 mach   20.4 inch   1.727 mil   5.1 inch   \n350.0 yd  0.531 s  1864.5 ft/s  1.67 mach   16.5 inch   1.199 mil   7.1 inch   \n400.0 yd  0.622 s  1770.7 ft/s  1.59 mach    9.8 inch   0.626 mil   9.5 inch   \n450.0 yd  0.719 s  1679.2 ft/s  1.51 mach    0.1 inch   0.007 mil  12.4 inch   \n500.0 yd  0.820 s  1589.9 ft/s  1.43 mach  -13.0 inch  -0.663 mil  15.7 inch   \n\n         windage_adj look_distance      angle density_factor  \ndistance                                                      \n0.0 yd     0.000 mil        0.0 yd  26.0961 °      4.548e-05  \n50.0 yd    0.072 mil       55.6 yd  26.0533 °     -2.144e-03  \n100.0 yd   0.148 mil      111.1 yd  26.0065 °     -4.285e-03  \n150.0 yd   0.226 mil      166.7 yd  25.9551 °     -6.416e-03  \n200.0 yd   0.308 mil      222.2 yd  25.8986 °     -8.538e-03  \n250.0 yd   0.394 mil      277.8 yd  25.8365 °     -1.065e-02  \n300.0 yd   0.483 mil      333.3 yd  25.7680 °     -1.275e-02  \n350.0 yd   0.576 mil      388.9 yd  25.6923 °     -1.484e-02  \n400.0 yd   0.675 mil      444.4 yd  25.6086 °     -1.692e-02  \n450.0 yd   0.778 mil      500.0 yd  25.5155 °     -1.898e-02  \n500.0 yd   0.886 mil      555.5 yd  25.4119 °     -2.104e-02  ",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>time</th>\n      <th>velocity</th>\n      <th>mach</th>\n      <th>target_drop</th>\n      <th>drop_adj</th>\n      <th>windage</th>\n      <th>windage_adj</th>\n      <th>look_distance</th>\n      <th>angle</th>\n      <th>density_factor</th>\n    </tr>\n    <tr>\n      <th>distance</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0.0 yd</th>\n      <td>0.000 s</td>\n      <td>2600.0 ft/s</td>\n      <td>2.33 mach</td>\n      <td>-1.8 inch</td>\n      <td>0.000 mil</td>\n      <td>0.0 inch</td>\n      <td>0.000 mil</td>\n      <td>0.0 yd</td>\n      <td>26.0961 °</td>\n      <td>4.548e-05</td>\n    </tr>\n    <tr>\n      <th>50.0 yd</th>\n      <td>0.066 s</td>\n      <td>2485.7 ft/s</td>\n      <td>2.23 mach</td>\n      <td>6.4 inch</td>\n      <td>3.234 mil</td>\n      <td>0.1 inch</td>\n      <td>0.072 mil</td>\n      <td>55.6 yd</td>\n      <td>26.0533 °</td>\n      <td>-2.144e-03</td>\n    </tr>\n    <tr>\n      <th>100.0 yd</th>\n      <td>0.134 s</td>\n      <td>2374.5 ft/s</td>\n      <td>2.13 mach</td>\n      <td>13.0 inch</td>\n      <td>3.293 mil</td>\n      <td>0.5 inch</td>\n      <td>0.148 mil</td>\n      <td>111.1 yd</td>\n      <td>26.0065 °</td>\n      <td>-4.285e-03</td>\n    </tr>\n    <tr>\n      <th>150.0 yd</th>\n      <td>0.206 s</td>\n      <td>2266.4 ft/s</td>\n      <td>2.03 mach</td>\n      <td>17.8 inch</td>\n      <td>3.021 mil</td>\n      <td>1.2 inch</td>\n      <td>0.226 mil</td>\n      <td>166.7 yd</td>\n      <td>25.9551 °</td>\n      <td>-6.416e-03</td>\n    </tr>\n    <tr>\n      <th>200.0 yd</th>\n      <td>0.282 s</td>\n      <td>2161.5 ft/s</td>\n      <td>1.94 mach</td>\n      <td>20.8 inch</td>\n      <td>2.646 mil</td>\n      <td>2.2 inch</td>\n      <td>0.308 mil</td>\n      <td>222.2 yd</td>\n      <td>25.8986 °</td>\n      <td>-8.538e-03</td>\n    </tr>\n    <tr>\n      <th>250.0 yd</th>\n      <td>0.361 s</td>\n      <td>2059.7 ft/s</td>\n      <td>1.85 mach</td>\n      <td>21.7 inch</td>\n      <td>2.210 mil</td>\n      <td>3.5 inch</td>\n      <td>0.394 mil</td>\n      <td>277.8 yd</td>\n      <td>25.8365 °</td>\n      <td>-1.065e-02</td>\n    </tr>\n    <tr>\n      <th>300.0 yd</th>\n      <td>0.444 s</td>\n      <td>1960.8 ft/s</td>\n      <td>1.76 mach</td>\n      <td>20.4 inch</td>\n      <td>1.727 mil</td>\n      <td>5.1 inch</td>\n      <td>0.483 mil</td>\n      <td>333.3 yd</td>\n      <td>25.7680 °</td>\n      <td>-1.275e-02</td>\n    </tr>\n    <tr>\n      <th>350.0 yd</th>\n      <td>0.531 s</td>\n      <td>1864.5 ft/s</td>\n      <td>1.67 mach</td>\n      <td>16.5 inch</td>\n      <td>1.199 mil</td>\n      <td>7.1 inch</td>\n      <td>0.576 mil</td>\n      <td>388.9 yd</td>\n      <td>25.6923 °</td>\n      <td>-1.484e-02</td>\n    </tr>\n    <tr>\n      <th>400.0 yd</th>\n      <td>0.622 s</td>\n      <td>1770.7 ft/s</td>\n      <td>1.59 mach</td>\n      <td>9.8 inch</td>\n      <td>0.626 mil</td>\n      <td>9.5 inch</td>\n      <td>0.675 mil</td>\n      <td>444.4 yd</td>\n      <td>25.6086 °</td>\n      <td>-1.692e-02</td>\n    </tr>\n    <tr>\n      <th>450.0 yd</th>\n      <td>0.719 s</td>\n      <td>1679.2 ft/s</td>\n      <td>1.51 mach</td>\n      <td>0.1 inch</td>\n      <td>0.007 mil</td>\n      <td>12.4 inch</td>\n      <td>0.778 mil</td>\n      <td>500.0 yd</td>\n      <td>25.5155 °</td>\n      <td>-1.898e-02</td>\n    </tr>\n    <tr>\n      <th>500.0 yd</th>\n      <td>0.820 s</td>\n      <td>1589.9 ft/s</td>\n      <td>1.43 mach</td>\n      <td>-13.0 inch</td>\n      <td>-0.663 mil</td>\n      <td>15.7 inch</td>\n      <td>0.886 mil</td>\n      <td>555.5 yd</td>\n      <td>25.4119 °</td>\n      <td>-2.104e-02</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate elevation for a new shot at a different look-angle\n",
    "new_shot = copy.copy(zero)  # Copy the zero properties; NB: Not a deepcopy!\n",
    "new_shot.look_angle = Angular.Degree(25.84)\n",
    "new_elevation = calc.barrel_elevation_for_target(shot=new_shot, target_distance=new_target_distance)\n",
    "# Firing solution:\n",
    "hold = Angular.Mil((new_elevation >> Angular.Mil) - (zero.weapon.zero_elevation >> Angular.Mil))\n",
    "\n",
    "print(f'To hit target at look-distance of {new_target_distance << PreferredUnits.distance}'\n",
    "      f' sighted at a {new_shot.look_angle << PreferredUnits.angular} look-angle,' \n",
    "      f' barrel elevation={new_elevation << PreferredUnits.adjustment}')\n",
    "print(f'Current zero has barrel elevated {zero.weapon.zero_elevation << PreferredUnits.adjustment}'\n",
    "      f' so hold for new shot is {hold << PreferredUnits.adjustment}')      \n",
    "horizontal = Distance(math.cos(new_shot.look_angle >> Angular.Radian)\n",
    "                      * new_target_distance.unit_value, new_target_distance.units)\n",
    "print(f'(Horizontal component of distance to this target is {horizontal})')\n",
    "\n",
    "# Plot this shot\n",
    "new_shot.relative_angle = hold\n",
    "card = calc.fire(new_shot, trajectory_range=500)\n",
    "card.dataframe(True).drop(['height', 'energy', 'ogw', 'drag', 'flag'], axis=1).set_index('distance')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Complex example\n",
    "\n",
    "Now we'll switch to metric units and:\n",
    "* Define a standard .50BMG\n",
    "* Enable and define Ammo model of powder temperature sensitivity.\n",
    "* Zeroed for a distance of 500 meters, in a 5°C atmosphere at altitude 1000ft ASL."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:48.473032Z",
     "start_time": "2024-09-02T16:53:48.352804500Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Barrel elevation for 500.0m zero: 4.694mil\n",
      "Muzzle velocity at zero temperature 41.0°F is 829.0m/s\n"
     ]
    }
   ],
   "source": [
    "PreferredUnits.distance = Unit.Meter\n",
    "PreferredUnits.velocity = Unit.MPS\n",
    "PreferredUnits.drop = Unit.Meter\n",
    "PreferredUnits.sight_height = Unit.Centimeter\n",
    "\n",
    "set_global_use_powder_sensitivity(True)\n",
    "\n",
    "# Standard .50BMG\n",
    "dm = DragModel(0.62, TableG1, 661, 0.51, 2.3)\n",
    "ammo=Ammo(dm, 850, Temperature.Celsius(15))\n",
    "ammo.calc_powder_sens(820, Temperature.Celsius(0))\n",
    "weapon = Weapon(sight_height=9, twist=15)\n",
    "atmo = Atmo(altitude=Distance.Foot(1000), temperature=Unit.Celsius(5), humidity=.5)\n",
    "zero = Shot(weapon=weapon, ammo=ammo, atmo=atmo)\n",
    "zero_distance = Distance.Meter(500)\n",
    "calc = Calculator()\n",
    "zero_elevation = calc.set_weapon_zero(zero, zero_distance)\n",
    "print(f'Barrel elevation for {zero_distance} zero: {zero_elevation << PreferredUnits.adjustment}')\n",
    "print(f'Muzzle velocity at zero temperature {atmo.temperature} is {ammo.get_velocity_for_temp(atmo.temperature) << PreferredUnits.velocity}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:50.057193700Z",
     "start_time": "2024-09-02T16:53:48.519744400Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "To hit target at look-distance of 700.0m sighted at a 30.0° look-angle, barrel elevation=6.1mil\n",
      "\t(horizontal distance to this target is 606.2m)\n",
      "Current zero has barrel elevated 4.694mil so hold for new shot is 1.406mil\n",
      "700.0m\n",
      "Danger space at 700.0m for 4.0m tall target at 30.0° look-angle ranges from 445.9m to 824.5m\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Firing solution for 700m target at 30°\n",
    "new_shot = copy.copy(zero)  # Copy the zero properties; NB: Not a deepcopy!\n",
    "new_shot.look_angle = Angular.Degree(30)\n",
    "new_target_distance = Distance.Meter(700)\n",
    "new_elevation = calc.barrel_elevation_for_target(shot=new_shot, target_distance=new_target_distance)\n",
    "horizontal = Distance(math.cos(new_shot.look_angle >> Angular.Radian)\n",
    "                      * new_target_distance.unit_value, new_target_distance.units)\n",
    "print(f'To hit target at look-distance of {new_target_distance << PreferredUnits.distance}'\n",
    "      f' sighted at a {new_shot.look_angle << PreferredUnits.angular} look-angle,' \n",
    "      f' barrel elevation={new_elevation << PreferredUnits.adjustment}'\n",
    "      f'\\n\\t(horizontal distance to this target is {horizontal})')\n",
    "\n",
    "# Firing solution:\n",
    "hold = Angular.Mil((new_elevation >> Angular.Mil) - (zero.weapon.zero_elevation >> Angular.Mil))\n",
    "print(f'Current zero has barrel elevated {zero.weapon.zero_elevation << PreferredUnits.adjustment}'\n",
    "      f' so hold for new shot is {hold << PreferredUnits.adjustment}')      \n",
    "\n",
    "# Plot this shot\n",
    "new_shot.relative_angle = hold\n",
    "adjusted_result = calc.fire(new_shot, trajectory_range=1500, extra_data=True)\n",
    "ax = adjusted_result.plot()\n",
    "# Find danger space for a 4-meter tall target\n",
    "danger_space = adjusted_result.danger_space(at_range=new_target_distance,\n",
    "                                        target_height=Distance.Meter(4),\n",
    "                                        look_angle=new_shot.look_angle)\n",
    "print(danger_space)\n",
    "# Highlight danger space on the plot\n",
    "danger_space.overlay(ax, 'Danger Space\\n(4m Target)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiple Winds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:50.975358200Z",
     "start_time": "2024-09-02T16:53:50.055193800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_shot.winds = [Wind(Velocity.MPS(4), Angular.OClock(9), until_distance=Distance.Meter(400)),\n",
    "                  Wind(Velocity.MPS(4), Angular.OClock(3), until_distance=Distance.Meter(800)),\n",
    "                  Wind(Velocity.MPS(4), Angular.OClock(9), until_distance=Distance.Meter(1200)),]\n",
    "wind_result = calc.fire(new_shot, trajectory_range=1500, extra_data=True)\n",
    "ax = wind_result.dataframe().plot(x='windage', y='distance', ylabel=f'Distance ({PreferredUnits.distance.key}s)', xlabel=f'Windage ({PreferredUnits.distance.key}s)', label='Deflection with winds')\n",
    "no_wind = adjusted_result.dataframe()\n",
    "ax.plot(no_wind.windage, no_wind.distance, label='No wind (spin drift only)')\n",
    "plt.legend(loc=\"upper center\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Drag Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:51.043366900Z",
     "start_time": "2024-09-02T16:53:50.973353300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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CdHT0HY/39/eHm5sbLlyoexkClUoFJyenWhuJk3EZDHOfAQKAMUE+6OzjhJLKanz2+3mhwyEisiiCjhLW1tbo0aMH4uLiTPv0ej3i4uLQu3fv+76OXq9HZWXlHV/PyMhAQUEBvL29HypeMn/mtBDqvcjlMvxjREcAwHeHruJqQZnAERERWQ7BvyZHRkZi9erVWLt2LVJTUzFjxgyUlZUhIiICADBlyhRERUWZjo+OjsZvv/2GS5cuITU1FZ988gnWrVuHZ599FgBQWlqKN954A4cOHcKVK1cQFxeHsWPHIiAgAOHh4YK8R2o6xhogcy6CvlWfADf0b+eOKp0BH+/kEhlERE1FKXQAEyZMQF5eHubNm4fs7GwEBwcjNjbWVBidlpYGufzmYFZWVoaZM2ciIyMDtra26NChA7777jtMmDABAKBQKHD8+HGsXbsWRUVF8PHxwdChQ/H+++9DpVIJ8h6p6RhngMRwC8zo7WEdsO98HrYfz8Lf+hUh2NdZ6JCIiCRPZmA//ttoNBqo1WoUFxezHkhkdp/NRcQ3R9C1uRo/v9xX6HDu29wfj+Gn5Az08nPFxpcegUxm/rfwiIjMTX3Gb/F8TSa6D8ZO0Oa2EOq9zB3aDjZWchy+UohtxzKFDoeISPKYAJGkiK0GyMjH2RazBtY0R/zwl1SUVlYLHBERkbSJa5QgugdTDZCZ9wGqy/T+/mjVzA65JZVYFsfH4omIGpP4RgmiuxDDUhh3YmOlwILRnQEAMfsv43xOicARERFJl/hGCaK7MPUBElkNkNFjHTwQ1tET1XoD5m87BT6jQETUOJgAkaRoq8U7A2Q0f3QnqJRyHLxYgF9OZAkdDhGRJIl3lCCqgxj7AP2Vr6sdZgxsAwD4YHsqylgQTUTU4MQ7ShDVQaxPgf3V3we0ga9rzWrxS/93TuhwiIgkR9yjBNFfmG6BiWAtsLuxsVLgX2O6AABiDlzByWvFAkdERCQtTIBIUqpE/BTYXz3WwQMjA72h0xvwj80noNOzIJqIqKGIf5QguoUUaoBuNX9UJzjaKHE8oxjrEq4IHQ4RkWRIY5QgukEqNUBGHk42eGtYBwDAxzvPIqv4usARERFJgzRGCaIbxNwI8U6e6dUS3Vs6o0yrw/ytp4QOh4hIEqQzShDhlsVQRV4EfSu5XIboJwKhlMuw63QOdp7KFjokIiLRYwJEkiK1GiCj9l6OeLG/PwBg3taTKCrXChwREZG4SWuUIIsntRqgW70yuC383eyRo6nEe7wVRkT0UKQ3SpBFk2INkJGNlQL/NyEYCrkMPx/LxNaUa0KHREQkWtIbJciiiX0x1HsJ8nXGK4PaAgDe23ISmUV8KoyI6EEwASJJMdUAKaX70Z71WBsE+TpDU1GNN/57DHo2SCQiqjfpjhJkkaqqa5IBqRVB30qpkOP/ng6CjZUcBy4UYM3BK0KHREQkOtIdJcgiSbkG6Fb+7g54Z2QnAMDC2DM4m10icEREROIi7VGCLI6pBkjCt8CMng1tiYHt3aGt1mPW+mSUa6uFDomISDSkP0qQRZF6EfStZDIZFo8PgoejChdyS/HeFj4aT0R0v5gAkaQY+wBJuQboVm4OKiyb1A1yGfBTcgb+czRd6JCIiETBMkYJshjaasuoAbrVI/7NEDmkHQDgva0ncS6H9UBERPdiOaMEWYQqCymC/quZAwPQr60bKqr0mPk964GIiO7FskYJkrybfYCkXwN0K7lchv+bEGyqB3p3y0kYDOwPRER0J0yASFKkvBbYvdxaD7Qp+RrWH04TOiQiIrNleaMESZql9AG6k0f8m+GN8A4AgH9uO42U9CJhAyIiMlOWOUqQJBkMBoutAbrV3wf4I7yzJ7Q6PWZ+l4SC0kqhQyIiMjuWO0qQ5FTrDTCWvVjKY/B1kclk+Hh8EPzd7JFZXIFXNvwBHdcLIyKqxXJHCZIc4+wPAFhZWBH0XznZWGHVcz1ga6XAgQsF+GTXWaFDIiIyK0yASDKMC6ECln0LzKidpyM+eioQAPB5/EX8cjxL4IiIiMwHRwmSDO0tM0BKuWXPABmNCfLB831aAwBe+zEFiZcKBI6IiMg8MAEiyTD1AFLIIZMxATJ6Z2RHDO3kCW21HtO/PcpO0UREYAJEEmJJC6HWh0Iuw7JJ3dCjlQs0FdWYFnMY2cUVQodFRCQoJkAkGaYESMmP9V/ZWCnw1ZQQ+LvXPBk27ZvD0FRUCR0WEZFgOFKQZGirLbcL9P1wsbfG2ohecHdU4Ux2CV789iiua3VCh0VEJAiOFCQZt9YAUd18Xe2wJqInHFRKHLpUiBfXHUVFFZMgIrI8HClIMlgDdH86+6ixJqIn7KwV2Hc+Hy+tS0JlNZMgIrIsTIBIMrSmleD5sb6XED9XfDOtJ2ytFNhzLg8zv0uGtlp/7xOJiCSCIwVJhiWvBP8gQv2b4eupIVAp5Yg7k4tZ65NrddMmIpIyjhQkGVXVXAi1vh4NcMNXU0NgrZTjt9M5+Pu6JNYEEZFF4EhBksEi6AfTr607vnyuh2kmKOKbIyitrBY6LCKiRsWRgiRDa+oDxCLo+hrY3gNrn+8Fe2sFEi4VYPJXiSgq1wodFhFRo2ECRJLBGqCH84h/M6yf/gic7axwLL0IE788hNwSdowmImniSEGScfMxeH6sH1SQrzM2vtgbHjeaJT61MgHnuXYYEUkQRwqSDNYANYz2Xo74z997o6WrHdIKy/HE5wcRfzZX6LCIiBqUWYwUK1asgJ+fH2xsbBAaGorDhw/f8dhNmzYhJCQEzs7OsLe3R3BwMNatW1frGIPBgHnz5sHb2xu2trYICwvD+fPnG/ttkMC01WyE2FBaNbPHlll90MvPFSWV1Xh+zRGsOXAZBoNB6NCIiBqE4AnQxo0bERkZifnz5yM5ORlBQUEIDw9Hbm7d3zhdXV3xzjvvICEhAcePH0dERAQiIiKwc+dO0zGLFi3CsmXLsGrVKiQmJsLe3h7h4eGoqGA9g5SxBqhhudpbY93femF8jxbQG4AFP5/Gu1tOslcQEUmCzCDwV7rQ0FD07NkTy5cvBwDo9Xr4+vri5Zdfxttvv31f1+jevTtGjhyJ999/HwaDAT4+Ppg7dy5ef/11AEBxcTE8PT2xZs0aTJw48Z7X02g0UKvVKC4uhpOT04O/OWpSy+LOY8lv5/BMaEv8+/GuQocjGQaDAav3XUL0r2dgMAC9/FyxfHI3eDjaCB0aEVEt9Rm/Bf2qrNVqkZSUhLCwMNM+uVyOsLAwJCQk3PN8g8GAuLg4nD17Fv379wcAXL58GdnZ2bWuqVarERoaesdrVlZWQqPR1NpIfFgD1DhkMhle7N8GX00JgaNKicNXCjFq2X4cvVIodGhERA9M0JEiPz8fOp0Onp6etfZ7enoiOzv7jucVFxfDwcEB1tbWGDlyJD777DMMGTIEAEzn1eea0dHRUKvVps3X1/dh3hYJxNgHSClnDVBjGNzRE1tn90FbDwfkllRi4peHWBdERKIlyq/Kjo6OSElJwZEjR/Dhhx8iMjIS8fHxD3y9qKgoFBcXm7b09PSGC5aaTFX1jRogLobaaPzdHbBlVh+MCvRGtd6ABT+fxpyNKShj52giEhmlkD/czc0NCoUCOTk5tfbn5OTAy8vrjufJ5XIEBAQAAIKDg5Gamoro6GgMHDjQdF5OTg68vb1rXTM4OLjO66lUKqhUqod8NyS0av2Np8A4A9So7FVKfDapG4J9nRH96xlsTcnEqUwNVk7ujraejkKHR0R0XwT9qmxtbY0ePXogLi7OtE+v1yMuLg69e/e+7+vo9XpUVlYCAFq3bg0vL69a19RoNEhMTKzXNUl82Aix6chkMvytnz9+mP4IPJ1UuJBbijHLD2BTcobQoRER3RfBR4rIyEisXr0aa9euRWpqKmbMmIGysjJEREQAAKZMmYKoqCjT8dHR0fjtt99w6dIlpKam4pNPPsG6devw7LPPAqj5h3nOnDn44IMPsG3bNpw4cQJTpkyBj48Pxo0bJ8RbpCZifAxeyQSoyfRq7YpfXumHvgFuuF6lQ+SPx/D2T8e5ojwRmT1Bb4EBwIQJE5CXl4d58+YhOzsbwcHBiI2NNRUxp6WlQS6/OaCVlZVh5syZyMjIgK2tLTp06IDvvvsOEyZMMB3z5ptvoqysDC+++CKKiorQt29fxMbGwsaGj+1KWbWOjRCF4Oagwtrne+Gz38/j07jz2HAkHccyivH55O5o7WYvdHhERHUSvA+QOWIfIHGatT4ZvxzPwoLRnTCtT2uhw7FI+8/nY87GP5BfqoWDSomPngzEyEDve59IRNQARNMHiKghGWeAeAtMOH3buuGXV/qhV2tXlFZWY9b6ZCzYdgqV1bwlRkTmhSMFSYaxBoiNEIXl6WSD9X8LxYyBbQAAaw5ewdNfHEJm0XWBIyMiuokjBUlGlWkGiDVAQlMq5HhrWAfETAuBs50VjqUXYdRn+3HwQr7QoRERAWACRBJSzafAzM6gDp74eXZfdPZxQmGZFs9+nYhVey6yezQRCY4jBUkGGyGaJ19XO/w041HTqvILfz2DGd8lo6SiSujQiMiCMQEiydByBshs2VgpsOipQHz4eBdYKWSIPZWNUZ/tx7H0IqFDIyILxZGCJIN9gMybTCbD5NBW+PGl3mjubIurBeV4cuVBrN57CXo9b4kRUdNiAkSSYawB4lIY5q1bSxfseLUfRnT1QrXegA93pOL5tUeQX1opdGhEZEE4UpBkVN2oAVKyBsjsqW2tsOKZ7vj3412hUsoRfzYPIz7dh8RLBUKHRkQWggkQSQafAhMXmUyGZ0JbYtvsvmjr4YDckkpMWn0In8df4C0xImp0HClIMqpYAyRK7b0csXV2HzzRvTn0BmBR7Fm8sPYI/izTCh0aEUkYEyCSjCrWAImWnbUSn4wPwqInA6FSyrH7bB5GLtuHpKuFQodGRBLFkYIkw9QHiDNAoiSTyfB0T19sntkHrd3skVlcgae/OIQVuy9Ax1tiRNTAmACRZJhqgOT8WItZJx8nbJvdB2ODfaDTG/DxzrOYEpOIXE2F0KERkYRwpCDJ0HItMMlwtLHC0gnB+PipQNhaKXDgQgGGf7oPu8/mCh0aEUkEEyCSDGMjRK4GLw0ymQzjQ3zx88t90dHbCQVlWkR8cwQf/nIa2mq90OERkchxpCBJ0OsNMJaJ8DF4aQnwcMDmmY9iau9WAIDV+y7jqVUHcSW/TODIiEjMOFKQJBibIAK8BSZFNlYK/HNsF3z5XA8421nheEYxRi7bhy1/XBM6NCISKSZAJAnGAmgAsGIRtGQN7eyFHa/0Qy8/V5RpdZizMQWRG1O4sjwR1RtHCpIEYxNEgDNAUufjbIv100Px6uC2kMuATX9cw/BP9+HoFfYMIqL7xwSIJKHqlhkgrgUmfUqFHK8NaYcfX+qNFi62yPjzOp7+IgGf7DpbKxkmIroTJkAkCbc2QZTJmABZihA/V/z6aj/TMhqf/X4BT608iMsskCaie2ACRJLAJoiWy9HGCkueDsbyZ7rByUaJYxnFGPHpPvxwOA0GAztIE1HdOFqQJLAJIo0K9MHO1/rj0TbNcL1Kh6hNJ/DiuiQUclFVIqoDEyCShGouhEoAvNW2+O6FUPxjRAdYKWT47XQOwpfuxd5zeUKHRkRmhqMFSYKx8JULoZJcLsOL/dtgy6w+aOvhgLySSkyJOYzoX1NZIE1EJkyASBKq9awBoto6+6jx88t98dwjNR2kv9hzCU+tSkBaQbnAkRGROeBoQZJQzRkgqoONlQLvj+uCVc92rymQTi/CyGX7sO1YptChEZHAmACRJNwsguZHmm43rIs3drzaDz1auaCkshqv/PAHO0gTWTiOFiQJLIKme2nhYoeNLz6ClwcFsIM0ETEBImm4tREi0Z0oFXLMHdqeHaSJiAkQSUOVqREiEyC6N3aQJiLl/R64bdu2+77omDFjHigYogdVxRogqidjB+lBHTzwj00nTB2k543uhIk9fbmkCpHE3XcCNG7cuFp/l8lktdrM3/qPhU6ne/jIiOrhZg0QBy2qn1GBPujRygVzfzyGgxcLELXpBH4/k4uPngyEq7210OERUSO576/Ler3etO3atQvBwcH49ddfUVRUhKKiIuzYsQPdu3dHbGxsY8ZLVKebjRA5A0T1d6cO0gcu5AsdGhE1kvueAbrVnDlzsGrVKvTt29e0Lzw8HHZ2dnjxxReRmpraYAES3Q82QqSHZewg3SfADa9uSMGF3FI8+3UiZg5sgzlh7ZhcE0nMA/0XffHiRTg7O9+2X61W48qVKw8ZElH9sREiNZTOPmr8PLsvJvVqCYMBWLH7IiZ8kYD0QnaQJpKSB0qAevbsicjISOTk5Jj25eTk4I033kCvXr0aLDii+6U1PgXGb+nUAGytFYh+oitWPNMdjjZKJKcVYcSyfdh+nB2kiaTigUaLmJgYZGVloWXLlggICEBAQABatmyJa9eu4euvv27oGInuyTQDxMfgqQGNDPTGjlf6IdjXGSUV1Zi9/g9E/sgO0kRS8EA1QAEBATh+/Dh+++03nDlzBgDQsWNHDBkypEGDI7pfxhog1mlQQ/N1tcN//t4by+LOY8XuC9iUfA2HLxdi6YRghPi5Ch0eET2geo0Wv//+Ozp16gSNRgOZTIahQ4filVdewSuvvIJevXqhc+fO2LdvX2PFSnRHN/sAcQaIGp7VjQ7SG9lBmkgy6pUALV26FNOnT4eTk9Ntr6nVarz00ktYsmRJgwVHdL/4GDw1hZ5+rtjx1w7SqxLYQZpIhOo1Whw7dgzDhg274+tDhw5FUlLSQwdFVF/VXAqDmojTjQ7Sy5/pBicbJY6lF2HEp/vww+G0Ws1hici81SsBysnJgZWV1R1fVyqVyMvLe+igiOqrik+BURMbFeiD2Dn90du/Ga5X6RC16QReWpeEwjKt0KER0X2o12jRvHlznDx58o6vHz9+HN7e3g8dFFF9GVeDt2YNEDUhH2dbfP+3UEQNr+kgvet0DoZ/uhcJFwuEDo2I7qFeCdCIESPw3nvvoaKi4rbXrl+/jvnz52PUqFENFhzR/eIMEAlFLpfhpQFtsGVWH7Rxt0eOphLPfHUIS3adNbVnICLzU6/R4t1330VhYSHatWuHRYsWYevWrdi6dSs++ugjtG/fHoWFhXjnnXcaK1aiO+JTYCS0zj5q/PxyXzwd0gIGA7Ds9wuYtPoQMouuCx0aEdWhXn2APD09cfDgQcyYMQNRUVGmgj+ZTIbw8HCsWLECnp6ejRIo0d3cbITIGSASjp21EoueCkKfADe8s/kkjlz5E8OW7sW/n+iKUYE+QodHRLeo92jRqlUr7NixA/n5+UhMTMShQ4eQn5+PHTt2oHXr1g8UxIoVK+Dn5wcbGxuEhobi8OHDdzx29erV6NevH1xcXODi4oKwsLDbjp82bRpkMlmt7W5Pr5H4VZkaIXIGiIQ3Nrg5fnmlL4JaqKFhB2kis/TAX5ddXFzQs2dP9OrVCy4uLg8cwMaNGxEZGYn58+cjOTkZQUFBCA8PR25ubp3Hx8fHY9KkSdi9ezcSEhLg6+uLoUOH4tq1a7WOGzZsGLKyskzbDz/88MAxkvmrNt0C4wwQmYdWzezx3xmPYvZjAZDLgE3J1zBi2T4cvVIodGhEhIdIgBrKkiVLMH36dERERKBTp05YtWoV7OzsEBMTU+fx33//PWbOnIng4GB06NABX331FfR6PeLi4modp1Kp4OXlZdoeJkkj82csguYMEJkTK4Ucr4ff7CCdXsgO0kTmQtAESKvVIikpCWFhYaZ9crkcYWFhSEhIuK9rlJeXo6qqCq6utdfkiY+Ph4eHB9q3b48ZM2agoODOj6VWVlZCo9HU2khcTEXQrAEiM1RnB+mVB9lBmkhAgo4W+fn50Ol0txVOe3p6Ijs7+76u8dZbb8HHx6dWEjVs2DB8++23iIuLw0cffYQ9e/Zg+PDh0Ol0dV4jOjoaarXatPn6+j74myJBmDpBcwaIzNRtHaQzijFy2T5sYAdpIkE80Grw5mLhwoXYsGED4uPjYWNjY9o/ceJE05+7du2KwMBAtGnTBvHx8Rg8ePBt14mKikJkZKTp7xqNhkmQyNxshMgZIDJvowJ90L2lCyJ/TMGhS4V4e9MJ7D6bi4VPBMLF3lro8IgshqCjhZubGxQKBXJycmrtz8nJgZeX113PXbx4MRYuXIhdu3YhMDDwrsf6+/vDzc0NFy5cqPN1lUoFJyenWhuJCxshkpj4ONti/d8eMXWQ3nkqByOW7cPhyyyQJmoqgo4W1tbW6NGjR60CZmNBc+/eve943qJFi/D+++8jNjYWISEh9/w5GRkZKCgo4DIdEsZGiCQ2xg7Sm2f2QWs3e2QVV2DilwlY+r9z0Ol5S4yosQn+dTkyMhKrV6/G2rVrkZqaihkzZqCsrAwREREAgClTpiAqKsp0/EcffYT33nsPMTEx8PPzQ3Z2NrKzs1FaWgoAKC0txRtvvIFDhw7hypUriIuLw9ixYxEQEIDw8HBB3iM1PmMNEBshkth0aV7TQdpYIL30f+fxzOpDyCpmB2mixiT4aDFhwgQsXrwY8+bNQ3BwMFJSUhAbG2sqjE5LS0NWVpbp+JUrV0Kr1eKpp56Ct7e3aVu8eDEAQKFQ4Pjx4xgzZgzatWuHF154AT169MC+ffugUqkEeY/U+Kr0nAEi8XJQKbHk6WD834Qg2FsrkHi5EMOW7sMvx7PufTIRPRCZgY8f3Eaj0UCtVqO4uJj1QCLRf9FupBWW46cZj6JHK/Z8IvG6nF+GVzf8geMZxQCAJ7u3wIIxneBoYyVwZETmrz7jt+AzQEQNwVgDxEaIJHat3ezx0y0dpH9KzsCIZfuQdJUF0kQNiQkQSYLpKTDWAJEEGDtIb3ixN5o713SQHr8qAZ/FnWeBNFED4WhBkmDsA8QZIJKSXq1d8eucfni8W02B9Ce/ncPkrw4hu7hC6NCIRI8JEElCNfsAkUQ52Vjh/yYE45PxQbCzVuDQpUIM/3Qvfj+Tc++TieiOOFqQJLAGiKTuyR4tsP3lvujs44Q/y6vw/Jqj+NfPp1FZXfcSP0R0d0yASBJuJkD8SJN0+bs7YNPMR/F8n9YAgJgDl/EkF1UleiAcLUj09HoDjHWhSjlngEjaVEoF5o3uhK+nhsDFzgonr2kwatk+bErOEDo0IlFhAkSiZ2yCCLAGiCzH4I6e+PXV/ght7YoyrQ6RPx5D5MYUlFZWCx0akShwtCDRMxZAA1wNniyLl9oG66c/gsgh7SCXAZv+uIaRy/YhJb1I6NCIzB5HCxI9Y/0PwKUwyPIo5DK8MrgtNr5U0zPoakE5nlp5EJ/HX2DPIKK7YAJEold1ywwQa4DIUvX0c8WOV/thZKA3qvUGLIo9i2e/SmTPIKI7YAJEomdsgqiUyyCTMQEiy6W2tcLySd2w6KlA2FkrkHCpAMM+3Yudp7KFDo3I7DABItG72QSRyQ+RTCbD0yG+2P5yX3RtrkZReRVeWpeEf2w+geta9gwiMmICRKLHHkBEt/N3d8BPMx7FSwP8AQDrE9Mwevl+nM7UCBwZkXngiEGiZ6wBYgJEVJu1Uo6o4R3x3Quh8HBU4UJuKcatOICv91+GwcACabJsHDFI9IwzQCyAJqpb37ZuiJ3TH2EdPaHV6fH+9tOIWHMEeSWVQodGJBgmQCR61XrOABHdi6u9NVZP6YH3x3WBSilH/Nk8DP90L3afzRU6NCJBcMQg0as2zgCxCJrormQyGZ57pBV+frkvOng5Ir9Ui4hvjuCfP59CRRULpMmyMAEi0dOyCJqoXtp5OmLLrD6Y9qgfAOCbA1fw+OcHcT6nRNjAiJoQRwwSPdNj8KwBIrpvNlYKLBjTGTHTQtDM3hqpWRqMXr4f3ydeZYE0WQQmQCR6xkaInAEiqr9BHTzx65x+6NfWDRVVeryz+SReWpeEglIWSJO0ccQg0atiI0Sih+LhaIO1Eb3w7siOsFLIsOt0DsKX7kNcao7QoRE1GiZAJHrV7ANE9NDkchn+1s8fW2b1QTtPB+SXVuKFtUcRtek4yiqrhQ6PqMFxxCDRu9kJmjNARA+rs48a22b3xd/6toZMBvxwOB3DP92HpKuFQodG1KCYAJHo3WyEyI8zUUOwsVLg3VGd8P3fQuGjtkFaYTnGr0rAotgz0FbrhQ6PqEFwxCDRu9kIkTNARA3p0TZuiH2tP57o3hx6A/B5/EWMW3EA5/i4PEkAEyASvWrOABE1GicbKyx5OhgrJ3eHi50VTmdpMOqz/fhq3yXo9XxcnsSLIwaJntZYBK3kx5mosQzv6o2dc/rjsfbu0Fbr8cEvqZjwZQIu55cJHRrRA+GIQaJnnAGyYiNEokbl4WSDmGk98e/Hu8LeWoEjV/7E8E/34uv9lzkbRKLDBIhEz1gDxD5ARI1PJpPhmdCWiJ3TH30CmqGiqmZ1ec4GkdgwASLRMz0Fxj5ARE3G19UO370Qig8f78LZIBIljhgkeqZGiLwFRtSkZDIZJoe24mwQiRITIBK9Kq4GTySou80G6TgbRGaKIwaJ3s21wPhxJhLKnWaDnlh5EKcyi4UOj+g2HDFI9G6uBs9bYERCu3U2yFGlxLH0IoxZfgD/3pGKci3XFCPzwQSIRM80A8RGiERmwTgb9L+5AzCyqzd0egO+3HsJQ5bsxe4zuUKHRwSACRBJwM2nwDgDRGROPJ1ssGJyd3w9NQTNnW1xreg6ItYcwaz1ycgtqRA6PLJwTIBI9IyNEK1ZA0RklgZ39MSu1/pjer/WkMuAX45nYfAne/B94lU+Mk+C4YhBolfFRohEZs9epcQ7Izth2+y+CGyhRklFNd7ZfBLjv0jA6UyN0OGRBWICRKJXzUaIRKLRpbkam2f2wfzRnWBvrUDS1T8x6rN9WLDtFDQVVUKHRxaEIwaJHhshEomLQi5DRJ/WNUXSgd7QG4A1B69g0OI92JScAYOBt8Wo8TEBItHTshEikSh5q22x4pnuWPdCL/i72SO/tBKRPx7DhC8O4Uw2b4tR4+KIQaJXrWMNEJGY9Wvrjl/n9MObw9rD1kqBw1cKMXLZfvzr59Mo4W0xaiRMgEj0bjZC5MeZSKxUSgVmDgzA/+YOwIiuXtDpDYg5cBmDPtmDLX9c420xanAcMUj0bjZC5AwQkdg1d7bF55N74Nvne6G1mz3ySioxZ2MKnlh5EElX/xQ6PJIQJkAketrqGzNASn6ciaSifzt3xM7phzfC28POWoE/0orw5MqDmL0+GemF5UKHRxLAEYNEz7i+kL21UuBIiKghqZQKzHosAPGvD8SEEF/IZMD2G00Uo39N5WPz9FCYAJHolWl1AAB7lULgSIioMXg42eCjpwLxy8v90CegGbQ6Pb7YcwkDP47HukNXTb3AiOrDLBKgFStWwM/PDzY2NggNDcXhw4fveOzq1avRr18/uLi4wMXFBWFhYbcdbzAYMG/ePHh7e8PW1hZhYWE4f/58Y78NEkh5JWeAiCxBJx8nfPdCKGKmhaCNuz0Ky7R4b8tJDPt0H3afyWWhNNWL4AnQxo0bERkZifnz5yM5ORlBQUEIDw9Hbm7dKwbHx8dj0qRJ2L17NxISEuDr64uhQ4fi2rVrpmMWLVqEZcuWYdWqVUhMTIS9vT3Cw8NRUcHF96RGrzfcMgPEBIhI6mQyGQZ18ETsnP7419jOcLGzwoXcUkSsOYJnv07EyWvFQodIIiEzCJwyh4aGomfPnli+fDkAQK/Xw9fXFy+//DLefvvte56v0+ng4uKC5cuXY8qUKTAYDPDx8cHcuXPx+uuvAwCKi4vh6emJNWvWYOLEife8pkajgVqtRnFxMZycnB7uDVKjKqusRuf5OwEAp/8VDjvOAhFZlOLrVVix+wLWHLhiaor6eLfmmDu0HVq42AkcHTW1+ozfgs4AabVaJCUlISwszLRPLpcjLCwMCQkJ93WN8vJyVFVVwdXVFQBw+fJlZGdn17qmWq1GaGjoHa9ZWVkJjUZTayNxKLtx+0smA2ytWANEZGnUtlb4x4iOiJs7AGODfQAAm/+4hkGf7EH0jlQUX2ehNNVN0AQoPz8fOp0Onp6etfZ7enoiOzv7vq7x1ltvwcfHx5TwGM+rzzWjo6OhVqtNm6+vb33fCgnEdPvLWgmZjH2AiCyVr6sdPp3YDdtm98Ej/q7QVuvxxd5LGPDxbny17xIqq3VCh0hmRvAaoIexcOFCbNiwAZs3b4aNjc0DXycqKgrFxcWmLT09vQGjpMZknAGys+bsDxEBgS2c8cP0RxAzLQRtPRxQVF6FD35JRdiSPdh2LBN6PQulqYagCZCbmxsUCgVycnJq7c/JyYGXl9ddz128eDEWLlyIXbt2ITAw0LTfeF59rqlSqeDk5FRrI3EwJkAOLIAmohuMhdK/vtoPC5/oCg9HFdILr+OVH/7AqM/284kxAiBwAmRtbY0ePXogLi7OtE+v1yMuLg69e/e+43mLFi3C+++/j9jYWISEhNR6rXXr1vDy8qp1TY1Gg8TExLtek8Sp/MYtMDv2ACKiv1Aq5JjYqyXi3xiI18LawUGlxOksDSLWHMH4VQlIvFQgdIgkIMFvgUVGRmL16tVYu3YtUlNTMWPGDJSVlSEiIgIAMGXKFERFRZmO/+ijj/Dee+8hJiYGfn5+yM7ORnZ2NkpLSwHUZP5z5szBBx98gG3btuHEiROYMmUKfHx8MG7cOCHeIjWiUvYAIqJ7sLNW4tWwttj75mN4sb8/VEo5jl79ExO+PIQpMYdxIoOPzlsiwUeNCRMmIC8vD/PmzUN2djaCg4MRGxtrKmJOS0uDXH4zT1u5ciW0Wi2eeuqpWteZP38+FixYAAB48803UVZWhhdffBFFRUXo27cvYmNjH6pOiMyTaRkM3gIjontwtbfGP0Z0xPN9WuOz389j45F07D2Xh73n8jC8ixcih7RDW09HocOkJiJ4HyBzxD5A4vH1/st4f/tpjA7ywWeTugkdDhGJSFpBOZb+7xw2p1yDwQDIZcC4bs3x8qC2aO1mL3R49ABE0weI6GHdXAaDNUBEVD8tm9lhyYRg7JzTH+GdPaE3AJuSr2HwJ/F45Yc/cDa7ROgQqRExASJRM/YBYgdoInpQ7Twd8cVzIdg6qw/COnpAbwC2HctE+NK9ePHbozieUSR0iNQImACRqN18DJ4zQET0cIJ8nfHV1J745ZW+GNnVGzIZsOt0DsYsP4CpMYdx9Eqh0CFSA+LXZhK1shtF0HYsgiaiBtLZR40Vk7vjQm4JPt99EVuPZWLPuTzsOZeHR/xd8fKgtni0TTN2nxc5zgCRqBlngPgUGBE1tAAPRyyZEIzdcwdiUq+WsFLIcOhSISZ/lYjHPz+IuNQcNlQUMSZAJGrlprXAeAuMiBpHy2Z2iH6iK/a88RimPeoHlVKOlPQivLD2KEYs248dJ7K4xIYIMQEiUeMMEBE1FR9nWywY0xn73xqElwb4w95agdQsDWZ+n4yhS/diU3IGqnV6ocOk+8QEiEStrPLmavBERE3B3VGFqOEdceDtQXh1cFs42ShxIbcUkT8ew6BP9uCHw2lcfV4EmACRqN0sguYtMCJqWs521nhtSDsceHsQ3hzWHq721kgrLEfUphMYsCgeX+y5iOLrVUKHSXfABIhEjavBE5HQHG2sMHNgAPa/9RjeG9UJnk4qZGsqEP3rGfSOjsOCbaeQVlAudJj0F0yASNRuNkLkDBARCcvOWokX+rbG3jcfw6KnAtHe0xHlWh3WHLyCAYt34+/rknDkSiGfHDMT/NpMolWl00NbXVNwyBkgIjIXKqUCT4f4YnyPFth/IR9f7buMPefyEHsqG7GnshHUQo0X+vljeBcvWCk4DyEUjhokWuWVN4sMuRQGEZkbmUyGfm3d0a+tO87nlCDmwGX8lHwNxzKK8coPf8BHbYOpj/phYq+WUNtaCR2uxWHqSaJlLIC2VshhreRHmYjMV1tPR0Q/EYiDbw/Ca2Ht4OZgjcxi1gkJiaMGiZaxAJpPgBGRWLg5qPBqWFvsf2sQ64QExvsGJFplWvYAIiJxsrFinZDQOHKQaN3sAs0ZICISp/upE3omtCUm9GwJd0eV0OFKCtNKEi3TLTDOABGRBNypTmjxrnN4dGEcZq9PxqFLBbw91kA4cpBoGRdC5SPwRCQlxjqhlwb4Y8eJLKw7dBV/pBVh+/EsbD+ehbYeDnj2kVZ4vHtzONnw6bEHxZGDRKvUNAPEW2BEJD02Vgo80b0FnujeAievFeP7xKvY8kcmzueWYv62U/go9gzGBjfHs4+0RGcftdDhig5vgZFolWu5DAYRWYYuzdWIfiIQie8Mxj/HdEaAhwPKtTr8cDgNI5ftxxOfH8Cm5AxUVHER1vvFkYNEq/RGI0Q+Bk9ElsLJxgpTH/XDlN6tkHi5EOsOXcXOk9lITitCcloR3t9+Gk+H+GJyaCu0bGYndLhmjQkQiVa58SkwFkETkYWRyWR4xL8ZHvFvhtySCvx4JB3rE9OQWVyBL/Zewpf7LqF/W3c890grPNbBAwq5TOiQzQ5HDhItUx8g3gIjIgvm4WiD2YPa4u8D2mD32TysO3QVe8/lYc+NrbmzLSb18sX4EF94OtkIHa7Z4MhBolXGImgiIhOlQo4hnTwxpJMnruSXYf3hNPx4NB3Xiq5j8a5zWPLbOfRv547xPXwR1skDKqVl/9vJBIhEi0XQRER183Ozxz9GdETkkHbYcSILPxxOw5ErfyL+bB7iz+bB2c4KY4N8MD7EF519nCCTWd4tMo4cJFqmx+CZABER1enWR+kv55fhv0np+CnpGrI1FVibcBVrE66ig5cjxof4YlywD5o5WE63aZmBLSVvo9FooFarUVxcDCcnJ6HDoTsYs3w/jmcUI2ZaCAZ18BQ6HCIiUdDpDdh/IR//OZqOXadzoK3WAwCsFDIM6uCB8T18MbC9O5QiXIOsPuM3vzqTaHEpDCKi+lPIZRjQzh0D2rmjqFyLn49l4j9JGTieUYydp3Kw81QO3BxUeKJ7c4zv0QJtPR2FDrlRcOQg0Sqr5GrwREQPw9nOGs/19sNzvf1wJluD/x7NwOY/riG/tBJf7r2EL/deQrCvM8aHtMDoIB9JLb3BW2B14C0wcei6YCdKKqrx+9wB8Hd3EDocIiJJqNLp8fuZXPznaAZ2n82FTl+TJqiUcgzr4oVx3Zqjb4AbrMzwFhlvgZHkGQwG0y0w9gEiImo4Vgo5wjt7IbyzF/JKKrHlj2v4T1I6zuWUYmtKJramZKKZvTVGBnpjbLAPurd0EeVTZBw5SJQqqvS48aWEfYCIiBqJu6MK0/v742/9WuN4RjE2JWdg+/EsFJRp8W3CVXybcBUtXGwxNtgHY4Obo52I6oV4C6wOvAVm/jL+LEffj3bDWiHH2Q+GifLbBxGRGFXr9Nh/IR/bUjKx81S2qSs/AHT0dsLYYB+MDvJBc2fbJo+Nt8BI8nJLKgHUfDth8kNE1HSUCjkGtvfAwPYeuK7V4X+pOdiakok953KRmqVBapYGC389g16tXTE22AcjunjDxd5a6LBvwwSIRClXczMBIiIiYdhaKzA6qGbGp6hcix0nsrE15RoSLxfi8I1twbZTGNDOHWOCmyOso4fZtC4xjyiI6imvpAIA4MEEiIjILDjbWeOZ0JZ4JrQlMouu4+djNQXTp7M0+F9qLv6Xmgs7awXCO3thTLCP4E+SMQEiUTLeAvNwYgJERGRufJxt8dKANnhpQBuczympeXrs2DWkF17H5j+uYfMf1zAmyAfLJnUTLEYmQCRKxltgHo42AkdCRER309bTEa+Ht8fcoe3wR3oRtv5xDduPZyGsk7BLGDEBIlHK5S0wIiJRkclk6N7SBd1buuC9UZ0g9CPoTIBIlPJKeQuMiEiszGGhVeEjIHoAvAVGREQPgwkQiY5Ob0C+cQaIt8CIiOgBMAEi0Skoq4TeAMhlQDMHJkBERFR/TIBIdIy3v5o5qKCQsws0ERHVHxMgEp28Et7+IiKih8MEiESHj8ATEdHDYgJEosMnwIiI6GEJngCtWLECfn5+sLGxQWhoKA4fPnzHY0+dOoUnn3wSfn5+kMlkWLp06W3HLFiwADKZrNbWoUOHRnwH1NS4DAYRET0sQROgjRs3IjIyEvPnz0dycjKCgoIQHh6O3NzcOo8vLy+Hv78/Fi5cCC8vrztet3PnzsjKyjJt+/fvb6y3QALgLTAiInpYgiZAS5YswfTp0xEREYFOnTph1apVsLOzQ0xMTJ3H9+zZEx9//DEmTpwIlerOg59SqYSXl5dpc3Nza6y3QAIwzgC58xYYERE9IMESIK1Wi6SkJISFhd0MRi5HWFgYEhISHura58+fh4+PD/z9/TF58mSkpaXd9fjKykpoNJpaG5kvUw0Qb4EREdEDEiwBys/Ph06ng6dn7dVgPT09kZ2d/cDXDQ0NxZo1axAbG4uVK1fi8uXL6NevH0pKSu54TnR0NNRqtWnz9fV94J9PjctgMPAxeCIiemiCF0E3tOHDh2P8+PEIDAxEeHg4duzYgaKiIvz44493PCcqKgrFxcWmLT09vQkjpvoovl4FrU4PAHBnAkRERA9IsNXg3dzcoFAokJOTU2t/Tk7OXQuc68vZ2Rnt2rXDhQsX7niMSqW6a00RmQ9j/Y+znRVUSoXA0RARkVgJNgNkbW2NHj16IC4uzrRPr9cjLi4OvXv3brCfU1paiosXL8Lb27vBrknCudkDiAkrERE9OMFmgAAgMjISU6dORUhICHr16oWlS5eirKwMERERAIApU6agefPmiI6OBlBTOH369GnTn69du4aUlBQ4ODggICAAAPD6669j9OjRaNWqFTIzMzF//nwoFApMmjRJmDdJDepcTk0tV0tXe4EjISIiMRM0AZowYQLy8vIwb948ZGdnIzg4GLGxsabC6LS0NMjlNyepMjMz0a1bN9PfFy9ejMWLF2PAgAGIj48HAGRkZGDSpEkoKCiAu7s7+vbti0OHDsHd3b1J3xs1jpPXigEAXZurBY6EiIjETGYwGAxCB2FuNBoN1Go1iouL4eTkJHQ4dIshS/bgfG4pvp4agsEdPe99AhERWYz6jN+SewqMpKtcW42LeaUAOANEREQPhwkQicbpTA30hpoCaA8ndoEmIqIHxwSIROME63+IiKiBMAEi0TAmQF2YABER0UNiAkSiwSfAiIiooTABIlEo11bjQu6NAugWTICIiOjhMAEiUUjNqimAdndUwZMF0ERE9JCYAJEonMjg7S8iImo4TIBIFA5dKgQABLVwFjYQIiKSBCZAZPYqqnTYez4PADCog4fA0RARkRQwASKzd/BiPsq1OnirbdClOZcmISKih8cEiMzeb6dzAABhHT0hk8kEjoaIiKSACRCZNb3egP+l5gIAhnTi4qdERNQwmACRWUvJKEJeSSUcVUo84t9M6HCIiEgimACRWTPe/hrQ3h3WSn5ciYioYXBEIbNVrdPj52OZAHj7i4iIGhYTIDJbPx/PRMaf19HM3hpDO3kJHQ4REUkIEyAyS3q9AZ/vvggAeL5va9haKwSOiIiIpIQJEJmlXadzcD63FI4qJZ7r3UrocIiISGKYAJHZ0esNWLH7AgBgyqOt4GRjJXBEREQkNUyAyOws/d85nLhWDFsrBZ7v01rocIiISIKYAJFZ2XkqG8t+r5n9+fDxLmjmoBI4IiIikiImQGQ2kq4WYu6PxwAAEX388ET3FgJHREREUqUUOgAiANiUnIG3fzoBrU6PR/xd8Y8RHYUOiYiIJIwJEAkqt6QCH8eexX+SMgAA4Z098X8TgmGl4OQkERE1HiZAJIjs4gp8n3gVMfsvo0yrAwDMHNgGrw9tD7mcK74TEVHjYgJETeK6VofL+WVIvFyAfefzsedcHnR6AwAg2NcZ80Z3QveWLgJHSUREloIJUBP65XgWfjyaDmulvGZT3NiUcljd+F9rpRwqpRx21grYq5RwuLHZWStqHWMll6Nar0eVzgBttR5anQ46/b1jkMtguo6VouZnyf4y4aLXA1qdDtpqA7Q6Pap0eijkMlOs1go55DIZtDo9tNU1r1dW61F8vQp/lmlRUKbFn+Va5GgqkF5YjrTC68gvrbwtll6tXTHtUT8M6+zFWR8iImpSTICa0JWCMuw5lyd0GIJxtFEi2NcZvds0w+AOnmjv5Sh0SEREZKGYADWhwR094OGoujFro7sxu2JAZfXNmRRttR6V1TqUa3UoraxGWWU1Sit1uK6tvjHTYzzWAKVcVmv2SHkfsyg6gwFVt1xHq9PDYKh9jFwmqzVLZaWQQWe4MdN042fr9IbaM1lKOdS2VnC1t4aLnTVc7a3QzEEFXxc7tHSt2dR27OhMRETmgQlQE+rg5YQOXk5Ch0FERGTx+KwxERERWRwmQERERGRxmAARERGRxWECRERERBaHCRARERFZHCZAREREZHGYABEREZHFYQJEREREFocJEBEREVkcJkBERERkcZgAERERkcVhAkREREQWhwkQERERWRwmQERERGRxlEIHYI4MBgMAQKPRCBwJERER3S/juG0cx++GCVAdSkpKAAC+vr4CR0JERET1VVJSArVafddjZIb7SZMsjF6vR2ZmJhwdHSGTyRr02hqNBr6+vkhPT4eTk1ODXptu4u+5afD33DT4e24a/D03jcb8PRsMBpSUlMDHxwdy+d2rfDgDVAe5XI4WLVo06s9wcnLif2BNgL/npsHfc9Pg77lp8PfcNBrr93yvmR8jFkETERGRxWECRERERBaHCVATU6lUmD9/PlQqldChSBp/z02Dv+emwd9z0+DvuWmYy++ZRdBERERkcTgDRERERBaHCRARERFZHCZAREREZHGYABEREZHFYQLUhFasWAE/Pz/Y2NggNDQUhw8fFjokydm7dy9Gjx4NHx8fyGQybNmyReiQJCk6Oho9e/aEo6MjPDw8MG7cOJw9e1bosCRn5cqVCAwMNDWM6927N3799Vehw5K8hQsXQiaTYc6cOUKHIikLFiyATCartXXo0EGweJgANZGNGzciMjIS8+fPR3JyMoKCghAeHo7c3FyhQ5OUsrIyBAUFYcWKFUKHIml79uzBrFmzcOjQIfz222+oqqrC0KFDUVZWJnRoktKiRQssXLgQSUlJOHr0KAYNGoSxY8fi1KlTQocmWUeOHMEXX3yBwMBAoUORpM6dOyMrK8u07d+/X7BY+Bh8EwkNDUXPnj2xfPlyADXrjfn6+uLll1/G22+/LXB00iSTybB582aMGzdO6FAkLy8vDx4eHtizZw/69+8vdDiS5urqio8//hgvvPCC0KFITmlpKbp3747PP/8cH3zwAYKDg7F06VKhw5KMBQsWYMuWLUhJSRE6FACcAWoSWq0WSUlJCAsLM+2Ty+UICwtDQkKCgJERNYzi4mIANYMzNQ6dTocNGzagrKwMvXv3FjocSZo1axZGjhxZ699qaljnz5+Hj48P/P39MXnyZKSlpQkWCxdDbQL5+fnQ6XTw9PSstd/T0xNnzpwRKCqihqHX6zFnzhz06dMHXbp0ETocyTlx4gR69+6NiooKODg4YPPmzejUqZPQYUnOhg0bkJycjCNHjggdimSFhoZizZo1aN++PbKysvDPf/4T/fr1w8mTJ+Ho6Njk8TABIqKHMmvWLJw8eVLQe/lS1r59e6SkpKC4uBj//e9/MXXqVOzZs4dJUANKT0/Hq6++it9++w02NjZChyNZw4cPN/05MDAQoaGhaNWqFX788UdBbukyAWoCbm5uUCgUyMnJqbU/JycHXl5eAkVF9PBmz56N7du3Y+/evWjRooXQ4UiStbU1AgICAAA9evTAkSNH8Omnn+KLL74QODLpSEpKQm5uLrp3727ap9PpsHfvXixfvhyVlZVQKBQCRihNzs7OaNeuHS5cuCDIz2cNUBOwtrZGjx49EBcXZ9qn1+sRFxfHe/kkSgaDAbNnz8bmzZvx+++/o3Xr1kKHZDH0ej0qKyuFDkNSBg8ejBMnTiAlJcW0hYSEYPLkyUhJSWHy00hKS0tx8eJFeHt7C/LzOQPURCIjIzF16lSEhISgV69eWLp0KcrKyhARESF0aJJSWlpa69vE5cuXkZKSAldXV7Rs2VLAyKRl1qxZWL9+PbZu3QpHR0dkZ2cDANRqNWxtbQWOTjqioqIwfPhwtGzZEiUlJVi/fj3i4+Oxc+dOoUOTFEdHx9vq1+zt7dGsWTPWtTWg119/HaNHj0arVq2QmZmJ+fPnQ6FQYNKkSYLEwwSoiUyYMAF5eXmYN28esrOzERwcjNjY2NsKo+nhHD16FI899pjp75GRkQCAqVOnYs2aNQJFJT0rV64EAAwcOLDW/m+++QbTpk1r+oAkKjc3F1OmTEFWVhbUajUCAwOxc+dODBkyROjQiOotIyMDkyZNQkFBAdzd3dG3b18cOnQI7u7ugsTDPkBERERkcVgDRERERBaHCRARERFZHCZAREREZHGYABEREZHFYQJEREREFocJEBEREVkcJkBERERkcZgAERERkcVhAkREdAcLFixAcHCw0GEQUSNgAkREojJt2jTIZDL8/e9/v+21WbNmQSaTcTkOIronJkBEJDq+vr7YsGEDrl+/btpXUVGB9evXc9FbIrovTICISHS6d+8OX19fbNq0ybRv06ZNaNmyJbp162baFxsbi759+8LZ2RnNmjXDqFGjcPHixVrXMi7Q6OrqCnt7e4SEhCAxMbHWMevWrYOfnx/UajUmTpyIkpKSxn2DRNTomAARkSg9//zz+Oabb0x/j4mJQURERK1jysrKEBkZiaNHjyIuLg5yuRyPP/449Ho9AKC0tBQDBgzAtWvXsG3bNhw7dgxvvvmm6XUAuHjxIrZs2YLt27dj+/bt2LNnDxYuXNg0b5KIGo1S6ACIiB7Es88+i6ioKFy9ehUAcODAAWzYsAHx8fGmY5588sla58TExMDd3R2nT59Gly5dsH79euTl5eHIkSNwdXUFAAQEBNQ6R6/XY82aNXB0dAQAPPfcc4iLi8OHH37YiO+OiBobEyAiEiV3d3eMHDkSa9asgcFgwMiRI+Hm5lbrmPPnz2PevHlITExEfn6+aWYnLS0NXbp0QUpKCrp162ZKfuri5+dnSn4AwNvbG7m5uY3zpoioyTABIiLRev755zF79mwAwIoVK257ffTo0WjVqhVWr14NHx8f6PV6dOnSBVqtFgBga2t7z59hZWVV6+8ymazWLTIiEifWABGRaA0bNgxarRZVVVUIDw+v9VpBQQHOnj2Ld999F4MHD0bHjh3x559/1jomMDAQKSkpKCwsbMqwicgMMAEiItFSKBRITU3F6dOnoVAoar3m4uKCZs2a4csvv8SFCxfw+++/IzIystYxkyZNgpeXF8aNG4cDBw7g0qVL+Omnn5CQkNCUb4OIBMAEiIhEzcnJCU5OTrftl8vl2LBhA5KSktClSxe89tpr+Pjjj2sdY21tjV27dsHDwwMjRoxA165dsXDhwtuSKSKSHpnBYDAIHQQRERFRU+IMEBEREVkcJkBERERkcZgAERERkcVhAkREREQWhwkQERERWRwmQERERGRxmAARERGRxWECRERERBaHCRARERFZHCZAREREZHGYABEREZHF+X+r3OC2UkB5jAAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pandas.DataFrame(TableG7)\n",
    "ax = df.plot(x='Mach', y='CD', ylabel='Cd', legend=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiple-BC\n",
    "In the old days, even a G7 projectile like the 168gr .308 OTM was quoted with a G1 BC.  Then Sierra offered a multiple-BC model.  Later, Litz published a multiple-BC G7 model.  Here's how they compare."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:51.151898600Z",
     "start_time": "2024-09-02T16:53:51.040359600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Single G1 BC\n",
    "dm1 = DragModelMultiBC([BCPoint(.462, Mach=1)], TableG1, weight=168, diameter=.308)\n",
    "# Sierra's G1 BC: 0.462 above 2600 fps, 0.447 above 2100 fps, 0.424 above 1600 fps, and .405 below that.\n",
    "dm2 = DragModelMultiBC([BCPoint(.462, V=Velocity.FPS(2600)), BCPoint(.462-(.462-.447)/2, V=Velocity.FPS(2350)), BCPoint(.424-(.424-.405)/2, V=Velocity.FPS(1850)), BCPoint(.405, V=Velocity.FPS(1600))],\n",
    "                       TableG1, weight=168, diameter=.308)\n",
    "# Single G7 BC\n",
    "dm3 = DragModelMultiBC([BCPoint(.224, Mach=1)], TableG7, weight=168, diameter=.308)\n",
    "# Litz's G7 multi-BC:\n",
    "dm4 = DragModelMultiBC([BCPoint(.211, V=Velocity.FPS(1500)), BCPoint(.214, V=Velocity.FPS(2000)), BCPoint(.222, V=Velocity.FPS(2500)), BCPoint(.226, V=Velocity.FPS(3000))],\n",
    "                       TableG7, weight=168, diameter=.308)\n",
    "ax = pandas.DataFrame(dm1.drag_table).plot(x='Mach', y='CD', ylabel='Drag Coefficient', label='G1 Single BC (Baseline)')\n",
    "pandas.DataFrame(dm2.drag_table).plot(x='Mach', y='CD', label='G1 Multiple BC (Sierra)', linestyle='dashed', linewidth=2, ax=ax)\n",
    "pandas.DataFrame(dm3.drag_table).plot(x='Mach', y='CD', label='G7 Single BC', linestyle='dashdot', ax=ax)\n",
    "pandas.DataFrame(dm4.drag_table).plot(x='Mach', y='CD', label='G7 Multiple BC (Litz)', linestyle='dotted', linewidth=3, ax=ax)\n",
    "ax.spines[['right', 'top']].set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:51.504495700Z",
     "start_time": "2024-09-02T16:53:51.154900600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "              time     velocity       mach  target_drop   drag\ndistance                                                      \n500.0 yd   0.606 s  2043.3 ft/s  1.83 mach   -63.5 inch  0.569\n1000.0 yd  1.527 s  1317.8 ft/s  1.18 mach  -349.2 inch  0.376",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>time</th>\n      <th>velocity</th>\n      <th>mach</th>\n      <th>target_drop</th>\n      <th>drag</th>\n    </tr>\n    <tr>\n      <th>distance</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>500.0 yd</th>\n      <td>0.606 s</td>\n      <td>2043.3 ft/s</td>\n      <td>1.83 mach</td>\n      <td>-63.5 inch</td>\n      <td>0.569</td>\n    </tr>\n    <tr>\n      <th>1000.0 yd</th>\n      <td>1.527 s</td>\n      <td>1317.8 ft/s</td>\n      <td>1.18 mach</td>\n      <td>-349.2 inch</td>\n      <td>0.376</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "              time     velocity       mach  target_drop   drag\ndistance                                                      \n500.0 yd   0.607 s  2027.6 ft/s  1.82 mach   -63.6 inch  0.611\n1000.0 yd  1.562 s  1239.6 ft/s  1.11 mach  -358.0 inch  0.380",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>time</th>\n      <th>velocity</th>\n      <th>mach</th>\n      <th>target_drop</th>\n      <th>drag</th>\n    </tr>\n    <tr>\n      <th>distance</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>500.0 yd</th>\n      <td>0.607 s</td>\n      <td>2027.6 ft/s</td>\n      <td>1.82 mach</td>\n      <td>-63.6 inch</td>\n      <td>0.611</td>\n    </tr>\n    <tr>\n      <th>1000.0 yd</th>\n      <td>1.562 s</td>\n      <td>1239.6 ft/s</td>\n      <td>1.11 mach</td>\n      <td>-358.0 inch</td>\n      <td>0.380</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
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    },
    {
     "data": {
      "text/plain": "              time     velocity       mach  target_drop   drag\ndistance                                                      \n500.0 yd   0.611 s  2014.6 ft/s  1.80 mach   -64.1 inch  0.584\n1000.0 yd  1.564 s  1227.8 ft/s  1.10 mach  -359.6 inch  0.459",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>time</th>\n      <th>velocity</th>\n      <th>mach</th>\n      <th>target_drop</th>\n      <th>drag</th>\n    </tr>\n    <tr>\n      <th>distance</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>500.0 yd</th>\n      <td>0.611 s</td>\n      <td>2014.6 ft/s</td>\n      <td>1.80 mach</td>\n      <td>-64.1 inch</td>\n      <td>0.584</td>\n    </tr>\n    <tr>\n      <th>1000.0 yd</th>\n      <td>1.564 s</td>\n      <td>1227.8 ft/s</td>\n      <td>1.10 mach</td>\n      <td>-359.6 inch</td>\n      <td>0.459</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/plain": "              time     velocity       mach  target_drop   drag\ndistance                                                      \n500.0 yd   0.611 s  2001.8 ft/s  1.79 mach   -64.1 inch  0.609\n1000.0 yd  1.587 s  1179.0 ft/s  1.06 mach  -365.5 inch  0.472",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>time</th>\n      <th>velocity</th>\n      <th>mach</th>\n      <th>target_drop</th>\n      <th>drag</th>\n    </tr>\n    <tr>\n      <th>distance</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>500.0 yd</th>\n      <td>0.611 s</td>\n      <td>2001.8 ft/s</td>\n      <td>1.79 mach</td>\n      <td>-64.1 inch</td>\n      <td>0.609</td>\n    </tr>\n    <tr>\n      <th>1000.0 yd</th>\n      <td>1.587 s</td>\n      <td>1179.0 ft/s</td>\n      <td>1.06 mach</td>\n      <td>-365.5 inch</td>\n      <td>0.472</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PreferredUnits.distance = Unit.Yard\n",
    "PreferredUnits.velocity = Unit.FPS\n",
    "PreferredUnits.drop = Unit.Inch\n",
    "\n",
    "for dm in [dm1, dm2, dm3, dm4]:\n",
    "    zero = Shot(weapon=Weapon(sight_height=2), ammo=Ammo(dm, mv=Velocity.FPS(3000)))\n",
    "    calc = Calculator()\n",
    "    shot_result = calc.fire(zero, trajectory_range=1000, trajectory_step=500)\n",
    "    display(shot_result.dataframe(True)[['distance', 'time', 'velocity', 'mach', 'target_drop', 'drag']].set_index('distance')[1:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Working With Units"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-02T16:53:51.533058300Z",
     "start_time": "2024-09-02T16:53:51.456841200Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Default distance unit: Foot\n",
      "\tInstantiated from float (5): 5.0ft\n",
      "\tInstantiated from Distance.Line(200): 1.67ft\n",
      "100 meters: 100.0m\n",
      "100 meters in yard: 109.4yd\n",
      "100 meters, value in km: 0.1  (value type is <class 'float'>)\n",
      "100 meters in raw value: 3937.0078740157483  (raw type is <class 'float'>)\n",
      "Comparison: 100.0m == 100.0cm: False\n",
      "Comparison: 100.0m > .1*100.0m: True\n"
     ]
    }
   ],
   "source": [
    "PreferredUnits.distance = Unit.Foot\n",
    "print(f'Default distance unit: {PreferredUnits.distance.name}')\n",
    "# Can create value in default unit with either float or another unit of same type\n",
    "print(f'\\tInstantiated from float (5): {PreferredUnits.distance(5)}')\n",
    "print(f'\\tInstantiated from Distance.Line(200): {PreferredUnits.distance(Distance.Line(200))}')\n",
    "\n",
    "# Ways to define value in units\n",
    "# 1. old syntax\n",
    "unit_in_meter = Distance(100, Distance.Meter)\n",
    "# 2. short syntax by Unit type class\n",
    "unit_in_meter = Distance.Meter(100)\n",
    "# 3. by Unit enum class\n",
    "unit_in_meter = Unit.Meter(100)\n",
    "print(f'100 meters: {unit_in_meter}')\n",
    "# >>> 100 meters: 100.0m\n",
    "\n",
    "# Convert unit\n",
    "# 1. by .convert()\n",
    "unit_in_yards = unit_in_meter.convert(Distance.Yard)\n",
    "# 2. using shift syntax\n",
    "unit_in_yards = unit_in_meter << Distance.Yard  # '<<=' operator also supports\n",
    "print(f'100 meters in {unit_in_yards.units.key}: {unit_in_yards}')\n",
    "# >>> 100 meters in yard: 109.4yd\n",
    "\n",
    "# Get value in specified units (as float)\n",
    "# 1. by .get_in()\n",
    "value_in_km = unit_in_yards.get_in(Distance.Kilometer)\n",
    "# 2. by shift syntax\n",
    "value_in_km = unit_in_yards >> Distance.Kilometer  # '>>=' operator also supports\n",
    "print(f'100 meters, value in km: {value_in_km}  (value type is {type(value_in_km)})')\n",
    "# >>> 100 meters, value in km: 0.1  (value type is <class 'float'>)\n",
    "\n",
    "# Getting unit raw value (a float)\n",
    "rvalue = Distance.Meter(100).raw_value\n",
    "rvalue = float(Distance.Meter(100))\n",
    "print(f'100 meters in raw value: {rvalue}  (raw type is {type(rvalue)})')\n",
    "# >>> 100 meters in raw value: 3937.0078740157483  (raw type is <class 'float'>)\n",
    "\n",
    "# Comparison operators supported: < > <= >= == !=\n",
    "print(f'Comparison: {unit_in_meter} == {Distance.Centimeter(100)}: {unit_in_meter == Distance.Centimeter(100)}')  # >>> False, compare two units by raw value\n",
    "print(f'Comparison: {unit_in_meter} > .1*{unit_in_meter}: {unit_in_meter > .1*unit_in_meter.raw_value}')  # >>> True, compare unit with float by raw value"
   ]
  }
 ],
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   "codemirror_mode": {
    "name": "ipython",
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