Example.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.165195500Z",
     "start_time": "2024-04-06T19:27:22.645134600Z"
    }
   },
   "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"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\Code\\py-ballisticcalc\\py_ballisticcalc\\trajectory_calc.py:664: UserWarning: Library running in pure python mode. For better performance install 'py_ballisticcalc.exts' binary package\n",
      "  warnings.warn(\"Library running in pure python mode. \"\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 logging\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",
    "from py_ballisticcalc.trajectory_calc import *\n",
    "from py_ballisticcalc.logger import logger\n",
    "\n",
    "logger.setLevel(logging.WARNING)\n",
    "print(\"Default units:\\n\"+str(PreferredUnits))  # Print default units"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple Zero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.176090100Z",
     "start_time": "2024-04-06T19:27:24.162195500Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Barrel elevation for 100.0yd zero: 1.335mil\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": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.493398400Z",
     "start_time": "2024-04-06T19:27:24.173573100Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Danger space at 300.1yd for 19.7inch tall target ranges from 217.2yd to 355.7yd\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot trajectory out to 500 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()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Print Range Card"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.609375Z",
     "start_time": "2024-04-06T19:27:24.507952400Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</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>0.0751 °</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100.1 yd</th>\n",
       "      <td>0.120 s</td>\n",
       "      <td>2397.9 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>-0.0138 °</td>\n",
       "      <td>0.658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200.1 yd</th>\n",
       "      <td>0.251 s</td>\n",
       "      <td>2205.3 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>-0.1184 °</td>\n",
       "      <td>0.626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>300.1 yd</th>\n",
       "      <td>0.393 s</td>\n",
       "      <td>2022.1 ft/s</td>\n",
       "      <td>1.81 mach</td>\n",
       "      <td>-15.3 inch</td>\n",
       "      <td>-1.442 mil</td>\n",
       "      <td>4.1 inch</td>\n",
       "      <td>0.386 mil</td>\n",
       "      <td>-0.2425 °</td>\n",
       "      <td>0.596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400.1 yd</th>\n",
       "      <td>0.548 s</td>\n",
       "      <td>1847.4 ft/s</td>\n",
       "      <td>1.65 mach</td>\n",
       "      <td>-35.0 inch</td>\n",
       "      <td>-2.479 mil</td>\n",
       "      <td>7.6 inch</td>\n",
       "      <td>0.538 mil</td>\n",
       "      <td>-0.3906 °</td>\n",
       "      <td>0.570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500.0 yd</th>\n",
       "      <td>0.718 s</td>\n",
       "      <td>1679.9 ft/s</td>\n",
       "      <td>1.50 mach</td>\n",
       "      <td>-65.0 inch</td>\n",
       "      <td>-3.679 mil</td>\n",
       "      <td>12.4 inch</td>\n",
       "      <td>0.704 mil</td>\n",
       "      <td>-0.5690 °</td>\n",
       "      <td>0.547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600.0 yd</th>\n",
       "      <td>0.906 s</td>\n",
       "      <td>1519.4 ft/s</td>\n",
       "      <td>1.36 mach</td>\n",
       "      <td>-107.3 inch</td>\n",
       "      <td>-5.062 mil</td>\n",
       "      <td>18.8 inch</td>\n",
       "      <td>0.887 mil</td>\n",
       "      <td>-0.7858 °</td>\n",
       "      <td>0.524</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>700.0 yd</th>\n",
       "      <td>1.114 s</td>\n",
       "      <td>1365.9 ft/s</td>\n",
       "      <td>1.22 mach</td>\n",
       "      <td>-164.8 inch</td>\n",
       "      <td>-6.661 mil</td>\n",
       "      <td>27.0 inch</td>\n",
       "      <td>1.090 mil</td>\n",
       "      <td>-1.0524 °</td>\n",
       "      <td>0.499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800.1 yd</th>\n",
       "      <td>1.347 s</td>\n",
       "      <td>1221.1 ft/s</td>\n",
       "      <td>1.09 mach</td>\n",
       "      <td>-241.0 inch</td>\n",
       "      <td>-8.524 mil</td>\n",
       "      <td>37.3 inch</td>\n",
       "      <td>1.318 mil</td>\n",
       "      <td>-1.3846 °</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>-340.6 inch</td>\n",
       "      <td>-10.708 mil</td>\n",
       "      <td>50.0 inch</td>\n",
       "      <td>1.573 mil</td>\n",
       "      <td>-1.8009 °</td>\n",
       "      <td>0.325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000.0 yd</th>\n",
       "      <td>1.891 s</td>\n",
       "      <td>1029.7 ft/s</td>\n",
       "      <td>0.92 mach</td>\n",
       "      <td>-469.1 inch</td>\n",
       "      <td>-13.272 mil</td>\n",
       "      <td>64.9 inch</td>\n",
       "      <td>1.835 mil</td>\n",
       "      <td>-2.2959 °</td>\n",
       "      <td>0.159</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              time     velocity       mach  target_drop     drop_adj  \\\n",
       "distance                                                               \n",
       "0.0 yd     0.000 s  2600.0 ft/s  2.33 mach    -2.0 inch    0.000 mil   \n",
       "100.1 yd   0.120 s  2397.9 ft/s  2.15 mach     0.0 inch    0.000 mil   \n",
       "200.1 yd   0.251 s  2205.3 ft/s  1.98 mach    -4.1 inch   -0.574 mil   \n",
       "300.1 yd   0.393 s  2022.1 ft/s  1.81 mach   -15.3 inch   -1.442 mil   \n",
       "400.1 yd   0.548 s  1847.4 ft/s  1.65 mach   -35.0 inch   -2.479 mil   \n",
       "500.0 yd   0.718 s  1679.9 ft/s  1.50 mach   -65.0 inch   -3.679 mil   \n",
       "600.0 yd   0.906 s  1519.4 ft/s  1.36 mach  -107.3 inch   -5.062 mil   \n",
       "700.0 yd   1.114 s  1365.9 ft/s  1.22 mach  -164.8 inch   -6.661 mil   \n",
       "800.1 yd   1.347 s  1221.1 ft/s  1.09 mach  -241.0 inch   -8.524 mil   \n",
       "900.0 yd   1.607 s  1093.2 ft/s  0.98 mach  -340.6 inch  -10.708 mil   \n",
       "1000.0 yd  1.891 s  1029.7 ft/s  0.92 mach  -469.1 inch  -13.272 mil   \n",
       "\n",
       "             windage windage_adj      angle   drag  \n",
       "distance                                            \n",
       "0.0 yd      0.0 inch   0.000 mil   0.0751 °  0.000  \n",
       "100.1 yd    0.4 inch   0.119 mil  -0.0138 °  0.658  \n",
       "200.1 yd    1.7 inch   0.247 mil  -0.1184 °  0.626  \n",
       "300.1 yd    4.1 inch   0.386 mil  -0.2425 °  0.596  \n",
       "400.1 yd    7.6 inch   0.538 mil  -0.3906 °  0.570  \n",
       "500.0 yd   12.4 inch   0.704 mil  -0.5690 °  0.547  \n",
       "600.0 yd   18.8 inch   0.887 mil  -0.7858 °  0.524  \n",
       "700.0 yd   27.0 inch   1.090 mil  -1.0524 °  0.499  \n",
       "800.1 yd   37.3 inch   1.318 mil  -1.3846 °  0.465  \n",
       "900.0 yd   50.0 inch   1.573 mil  -1.8009 °  0.325  \n",
       "1000.0 yd  64.9 inch   1.835 mil  -2.2959 °  0.159  "
      ]
     },
     "execution_count": 4,
     "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": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.645331Z",
     "start_time": "2024-04-06T19:27:24.531599200Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Zero trajectory hits -65.0inch at 500.0yd\n",
      "Sight adjustment to hit 500.0yd target is -3.679mil\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": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.960674300Z",
     "start_time": "2024-04-06T19:27:24.559402700Z"
    }
   },
   "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=4.416mil\n",
      "Current zero has barrel elevated 1.335mil so hold for new shot is 3.081mil\n",
      "(Horizontal component of distance to this target is 450.0yd)\n"
     ]
    },
    {
     "data": {
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       "<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>26.0884 °</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>6.1 inch</td>\n",
       "      <td>3.127 mil</td>\n",
       "      <td>0.1 inch</td>\n",
       "      <td>0.072 mil</td>\n",
       "      <td>55.6 yd</td>\n",
       "      <td>26.0456 °</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>2374.4 ft/s</td>\n",
       "      <td>2.13 mach</td>\n",
       "      <td>12.5 inch</td>\n",
       "      <td>3.186 mil</td>\n",
       "      <td>0.5 inch</td>\n",
       "      <td>0.148 mil</td>\n",
       "      <td>111.1 yd</td>\n",
       "      <td>25.9987 °</td>\n",
       "      <td>-4.285e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150.1 yd</th>\n",
       "      <td>0.206 s</td>\n",
       "      <td>2266.2 ft/s</td>\n",
       "      <td>2.03 mach</td>\n",
       "      <td>17.2 inch</td>\n",
       "      <td>2.914 mil</td>\n",
       "      <td>1.2 inch</td>\n",
       "      <td>0.226 mil</td>\n",
       "      <td>166.7 yd</td>\n",
       "      <td>25.9473 °</td>\n",
       "      <td>-6.417e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200.0 yd</th>\n",
       "      <td>0.282 s</td>\n",
       "      <td>2161.4 ft/s</td>\n",
       "      <td>1.94 mach</td>\n",
       "      <td>20.0 inch</td>\n",
       "      <td>2.539 mil</td>\n",
       "      <td>2.2 inch</td>\n",
       "      <td>0.308 mil</td>\n",
       "      <td>222.3 yd</td>\n",
       "      <td>25.8908 °</td>\n",
       "      <td>-8.538e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>250.1 yd</th>\n",
       "      <td>0.361 s</td>\n",
       "      <td>2059.6 ft/s</td>\n",
       "      <td>1.85 mach</td>\n",
       "      <td>20.7 inch</td>\n",
       "      <td>2.103 mil</td>\n",
       "      <td>3.5 inch</td>\n",
       "      <td>0.394 mil</td>\n",
       "      <td>277.8 yd</td>\n",
       "      <td>25.8287 °</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>1960.7 ft/s</td>\n",
       "      <td>1.76 mach</td>\n",
       "      <td>19.1 inch</td>\n",
       "      <td>1.620 mil</td>\n",
       "      <td>5.1 inch</td>\n",
       "      <td>0.483 mil</td>\n",
       "      <td>333.4 yd</td>\n",
       "      <td>25.7602 °</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>15.0 inch</td>\n",
       "      <td>1.092 mil</td>\n",
       "      <td>7.1 inch</td>\n",
       "      <td>0.576 mil</td>\n",
       "      <td>388.9 yd</td>\n",
       "      <td>25.6846 °</td>\n",
       "      <td>-1.484e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400.1 yd</th>\n",
       "      <td>0.622 s</td>\n",
       "      <td>1770.6 ft/s</td>\n",
       "      <td>1.59 mach</td>\n",
       "      <td>8.2 inch</td>\n",
       "      <td>0.520 mil</td>\n",
       "      <td>9.5 inch</td>\n",
       "      <td>0.675 mil</td>\n",
       "      <td>444.5 yd</td>\n",
       "      <td>25.6007 °</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>1679.1 ft/s</td>\n",
       "      <td>1.51 mach</td>\n",
       "      <td>-1.8 inch</td>\n",
       "      <td>-0.100 mil</td>\n",
       "      <td>12.4 inch</td>\n",
       "      <td>0.778 mil</td>\n",
       "      <td>500.0 yd</td>\n",
       "      <td>25.5077 °</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>-15.1 inch</td>\n",
       "      <td>-0.768 mil</td>\n",
       "      <td>15.7 inch</td>\n",
       "      <td>0.886 mil</td>\n",
       "      <td>555.5 yd</td>\n",
       "      <td>25.4042 °</td>\n",
       "      <td>-2.103e-02</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             time     velocity       mach target_drop    drop_adj    windage  \\\n",
       "distance                                                                       \n",
       "0.0 yd    0.000 s  2600.0 ft/s  2.33 mach   -1.8 inch   0.000 mil   0.0 inch   \n",
       "50.0 yd   0.066 s  2485.7 ft/s  2.23 mach    6.1 inch   3.127 mil   0.1 inch   \n",
       "100.0 yd  0.134 s  2374.4 ft/s  2.13 mach   12.5 inch   3.186 mil   0.5 inch   \n",
       "150.1 yd  0.206 s  2266.2 ft/s  2.03 mach   17.2 inch   2.914 mil   1.2 inch   \n",
       "200.0 yd  0.282 s  2161.4 ft/s  1.94 mach   20.0 inch   2.539 mil   2.2 inch   \n",
       "250.1 yd  0.361 s  2059.6 ft/s  1.85 mach   20.7 inch   2.103 mil   3.5 inch   \n",
       "300.0 yd  0.444 s  1960.7 ft/s  1.76 mach   19.1 inch   1.620 mil   5.1 inch   \n",
       "350.0 yd  0.531 s  1864.5 ft/s  1.67 mach   15.0 inch   1.092 mil   7.1 inch   \n",
       "400.1 yd  0.622 s  1770.6 ft/s  1.59 mach    8.2 inch   0.520 mil   9.5 inch   \n",
       "450.0 yd  0.719 s  1679.1 ft/s  1.51 mach   -1.8 inch  -0.100 mil  12.4 inch   \n",
       "500.0 yd  0.820 s  1589.9 ft/s  1.43 mach  -15.1 inch  -0.768 mil  15.7 inch   \n",
       "\n",
       "         windage_adj look_distance      angle density_factor  \n",
       "distance                                                      \n",
       "0.0 yd     0.000 mil        0.0 yd  26.0884 °      4.548e-05  \n",
       "50.0 yd    0.072 mil       55.6 yd  26.0456 °     -2.144e-03  \n",
       "100.0 yd   0.148 mil      111.1 yd  25.9987 °     -4.285e-03  \n",
       "150.1 yd   0.226 mil      166.7 yd  25.9473 °     -6.417e-03  \n",
       "200.0 yd   0.308 mil      222.3 yd  25.8908 °     -8.538e-03  \n",
       "250.1 yd   0.394 mil      277.8 yd  25.8287 °     -1.065e-02  \n",
       "300.0 yd   0.483 mil      333.4 yd  25.7602 °     -1.275e-02  \n",
       "350.0 yd   0.576 mil      388.9 yd  25.6846 °     -1.484e-02  \n",
       "400.1 yd   0.675 mil      444.5 yd  25.6007 °     -1.692e-02  \n",
       "450.0 yd   0.778 mil      500.0 yd  25.5077 °     -1.898e-02  \n",
       "500.0 yd   0.886 mil      555.5 yd  25.4042 °     -2.103e-02  "
      ]
     },
     "execution_count": 6,
     "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": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:24.961675900Z",
     "start_time": "2024-04-06T19:27:24.713247700Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Barrel elevation for 500.0m zero: 4.696mil\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": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:25.783004200Z",
     "start_time": "2024-04-06T19:27:24.718772800Z"
    }
   },
   "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=6.0mil\n",
      "\t(horizontal distance to this target is 606.2m)\n",
      "Current zero has barrel elevated 4.696mil so hold for new shot is 1.304mil\n",
      "Danger space at 700.0m for 4.0m tall target at 30.0° look-angle ranges from 452.0m to 823.9m\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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=Distance.Meter(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": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:26.683681700Z",
     "start_time": "2024-04-06T19:27:26.021538300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:26.764274Z",
     "start_time": "2024-04-06T19:27:26.680681300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:26.894424200Z",
     "start_time": "2024-04-06T19:27:26.764274Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:26.980321800Z",
     "start_time": "2024-04-06T19:27:26.892424700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "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>2043.2 ft/s</td>\n",
       "      <td>1.83 mach</td>\n",
       "      <td>-63.6 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>1317.7 ft/s</td>\n",
       "      <td>1.18 mach</td>\n",
       "      <td>-349.3 inch</td>\n",
       "      <td>0.376</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              time     velocity       mach  target_drop   drag\n",
       "distance                                                      \n",
       "500.0 yd   0.607 s  2043.2 ft/s  1.83 mach   -63.6 inch  0.569\n",
       "1000.0 yd  1.527 s  1317.7 ft/s  1.18 mach  -349.3 inch  0.376"
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       "      <th></th>\n",
       "      <th>time</th>\n",
       "      <th>velocity</th>\n",
       "      <th>mach</th>\n",
       "      <th>target_drop</th>\n",
       "      <th>drag</th>\n",
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       "      <th>500.0 yd</th>\n",
       "      <td>0.607 s</td>\n",
       "      <td>2027.5 ft/s</td>\n",
       "      <td>1.82 mach</td>\n",
       "      <td>-63.6 inch</td>\n",
       "      <td>0.610</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",
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      "text/plain": [
       "              time     velocity       mach  target_drop   drag\n",
       "distance                                                      \n",
       "500.0 yd   0.607 s  2027.5 ft/s  1.82 mach   -63.6 inch  0.610\n",
       "1000.0 yd  1.562 s  1239.6 ft/s  1.11 mach  -358.0 inch  0.380"
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       "      <th>500.0 yd</th>\n",
       "      <td>0.611 s</td>\n",
       "      <td>2014.5 ft/s</td>\n",
       "      <td>1.80 mach</td>\n",
       "      <td>-64.1 inch</td>\n",
       "      <td>0.584</td>\n",
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       "      <th>1000.0 yd</th>\n",
       "      <td>1.564 s</td>\n",
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       "              time     velocity       mach  target_drop   drag\n",
       "distance                                                      \n",
       "500.0 yd   0.611 s  2014.5 ft/s  1.80 mach   -64.1 inch  0.584\n",
       "1000.0 yd  1.564 s  1227.7 ft/s  1.10 mach  -359.7 inch  0.459"
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       "      <th>500.0 yd</th>\n",
       "      <td>0.611 s</td>\n",
       "      <td>2001.8 ft/s</td>\n",
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       "      <th>1000.0 yd</th>\n",
       "      <td>1.587 s</td>\n",
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       "              time     velocity       mach  target_drop   drag\n",
       "distance                                                      \n",
       "500.0 yd   0.611 s  2001.8 ft/s  1.79 mach   -64.2 inch  0.609\n",
       "1000.0 yd  1.587 s  1179.0 ft/s  1.06 mach  -365.6 inch  0.472"
      ]
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   ],
   "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": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-06T19:27:26.992003300Z",
     "start_time": "2024-04-06T19:27:26.977012Z"
    }
   },
   "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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