{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib Integration\n",
    "\n",
    "[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/chaobrain/brainunit/blob/master/docs/visualization/matplotlib_integration.ipynb)\n",
    "[![Open in Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/chaobrain/brainunit/blob/master/docs/visualization/matplotlib_integration.ipynb)\n",
    "\n",
    "brainunit integrates with Matplotlib so you can plot `Quantity` arrays directly.\n",
    "The converter is registered automatically when brainunit is imported, so axis labels\n",
    "show the correct unit name without manual formatting."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:44.593526300Z",
     "start_time": "2026-03-04T15:11:44.548452800Z"
    }
   },
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import brainunit as u"
   ],
   "outputs": [],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic Plotting with Quantities\n",
    "\n",
    "Pass `Quantity` arrays directly to `plt.plot()`. Matplotlib automatically extracts\n",
    "the numeric values and labels axes with units."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:44.823023600Z",
     "start_time": "2026-03-04T15:11:44.595009Z"
    }
   },
   "source": [
    "t = np.linspace(0.0, 2.0, 200) * u.second\n",
    "voltage = (3.0 * u.volt) * np.sin(2.0 * np.pi * 2.0 * t.to_decimal(u.second))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "ax.plot(t, voltage)\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('Voltage')\n",
    "ax.set_title('Sinusoidal Voltage Signal')\n",
    "ax.grid(alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting with Unit Conversion\n",
    "\n",
    "Use `.to()` or `.in_unit()` to convert quantities to different units before plotting."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:45.220015Z",
     "start_time": "2026-03-04T15:11:44.825898200Z"
    }
   },
   "source": [
    "distance = np.linspace(0, 5000, 100) * u.meter\n",
    "height = (500.0 * u.meter) * np.exp(-distance.to_decimal(u.meter) / 2000.0)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "# Plot in meters\n",
    "ax1.plot(distance, height)\n",
    "ax1.set_xlabel('Distance')\n",
    "ax1.set_ylabel('Height')\n",
    "ax1.set_title('Height vs Distance (meters)')\n",
    "ax1.grid(alpha=0.3)\n",
    "\n",
    "# Plot in kilometers\n",
    "ax2.plot(distance.in_unit(u.kmeter), height.in_unit(u.cmeter))\n",
    "ax2.set_xlabel('Distance')\n",
    "ax2.set_ylabel('Height')\n",
    "ax2.set_title('Height vs Distance (km / cm)')\n",
    "ax2.grid(alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiple Signals with Different Units\n",
    "\n",
    "Use subplots to show related physical quantities with their respective units."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:45.511502200Z",
     "start_time": "2026-03-04T15:11:45.244138200Z"
    }
   },
   "source": [
    "t = np.linspace(0.0, 3.0, 300) * u.second\n",
    "\n",
    "# Displacement (cm)\n",
    "x = (40.0 * u.cmeter) * np.sin(2.0 * np.pi * 1.25 * t.to_decimal(u.second))\n",
    "\n",
    "# Velocity from numerical derivative\n",
    "v = (\n",
    "    np.gradient(x.to_decimal(u.meter), t.to_decimal(u.second))\n",
    "    * (u.meter / u.second)\n",
    ")\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(9, 6), sharex=True)\n",
    "\n",
    "ax1.plot(t, x, label='x(t)')\n",
    "ax1.set_ylabel('Displacement')\n",
    "ax1.legend()\n",
    "ax1.grid(alpha=0.3)\n",
    "\n",
    "ax2.plot(t, v, color='tab:orange', label='v(t)')\n",
    "ax2.set_xlabel('Time')\n",
    "ax2.set_ylabel('Velocity')\n",
    "ax2.legend()\n",
    "ax2.grid(alpha=0.3)\n",
    "\n",
    "fig.suptitle('Displacement and Velocity')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 900x600 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantity-Aware vs Plain Numeric\n",
    "\n",
    "Compare plotting with `Quantity` (automatic labels) vs plain arrays (manual labels)."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:45.780748100Z",
     "start_time": "2026-03-04T15:11:45.512941Z"
    }
   },
   "source": [
    "t_q = np.linspace(0.0, 2.0, 400) * u.second\n",
    "y_q = (2.0 * u.volt) * np.cos(2.0 * np.pi * 2.0 * t_q.to_decimal(u.second))\n",
    "\n",
    "t_plain = t_q.to_decimal(u.second)\n",
    "y_plain = y_q.to_decimal(u.volt)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "# With Quantity: unit labels added automatically\n",
    "ax1.plot(t_q, y_q, color='tab:blue')\n",
    "ax1.set_title('With Quantity (auto labels)')\n",
    "ax1.set_xlabel('Time')\n",
    "ax1.set_ylabel('Signal')\n",
    "ax1.grid(alpha=0.3)\n",
    "\n",
    "# Plain arrays: you must add unit labels manually\n",
    "ax2.plot(t_plain, y_plain, color='tab:green')\n",
    "ax2.set_title('Without Quantity (manual labels)')\n",
    "ax2.set_xlabel('Time [s]')\n",
    "ax2.set_ylabel('Signal [V]')\n",
    "ax2.grid(alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 14
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter Plots"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:45.996435300Z",
     "start_time": "2026-03-04T15:11:45.784224Z"
    }
   },
   "source": [
    "# Random particle positions and energies\n",
    "np.random.seed(42)\n",
    "x_pos = np.random.randn(50) * u.meter\n",
    "y_pos = np.random.randn(50) * u.meter\n",
    "energy = np.abs(np.random.randn(50)) * u.joule\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 5))\n",
    "sc = ax.scatter(\n",
    "    x_pos.to_decimal(u.meter),\n",
    "    y_pos.to_decimal(u.meter),\n",
    "    c=energy.to_decimal(u.joule),\n",
    "    s=energy.to_decimal(u.joule) * 100 + 20,\n",
    "    alpha=0.7,\n",
    "    cmap='viridis'\n",
    ")\n",
    "ax.set_xlabel('x [m]')\n",
    "ax.set_ylabel('y [m]')\n",
    "ax.set_title('Particle Positions (color = energy)')\n",
    "plt.colorbar(sc, label='Energy [J]')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x500 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 15
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bar Charts with Physical Quantities"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:46.129418900Z",
     "start_time": "2026-03-04T15:11:45.998430400Z"
    }
   },
   "source": [
    "materials = ['Copper', 'Aluminum', 'Steel', 'Titanium']\n",
    "densities = np.array([8960., 2700., 7850., 4507.]) * u.kilogram / u.meter ** 3\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 4))\n",
    "bars = ax.bar(materials, densities.to_decimal(u.kilogram / u.meter ** 3),\n",
    "              color=['#b87333', '#c0c0c0', '#808080', '#9090a0'])\n",
    "ax.set_ylabel('Density [kg/m^3]')\n",
    "ax.set_title('Material Densities')\n",
    "ax.grid(axis='y', alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Practical Example: RC Circuit Response\n",
    "\n",
    "Plot the step response of an RC circuit, where all quantities carry physical units."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:46.393409700Z",
     "start_time": "2026-03-04T15:11:46.131741400Z"
    }
   },
   "source": [
    "# RC circuit parameters\n",
    "R = 1000.0 * u.ohm  # 1 kohm\n",
    "C = 1e-6 * u.farad  # 1 uF\n",
    "V_in = 5.0 * u.volt  # step input\n",
    "\n",
    "# Time constant\n",
    "tau = R * C  # ohm * farad = second\n",
    "print('Time constant (tau):', tau)\n",
    "\n",
    "# Time array\n",
    "t = np.linspace(0.0, 5e-3, 500) * u.second\n",
    "\n",
    "# Voltage across capacitor: V_C(t) = V_in * (1 - exp(-t/tau))\n",
    "V_cap = V_in * (1 - np.exp(-t.to_decimal(u.second) / tau.to_decimal(u.second)))\n",
    "\n",
    "# Current: I(t) = V_in/R * exp(-t/tau)\n",
    "I = (V_in / R) * np.exp(-t.to_decimal(u.second) / tau.to_decimal(u.second))\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(9, 6), sharex=True)\n",
    "\n",
    "ax1.plot(t.to_decimal(u.ms), V_cap.to_decimal(u.volt), color='tab:blue')\n",
    "ax1.axhline(y=5.0, color='gray', linestyle='--', alpha=0.5, label='V_in = 5V')\n",
    "ax1.set_ylabel('Capacitor Voltage [V]')\n",
    "ax1.legend()\n",
    "ax1.grid(alpha=0.3)\n",
    "\n",
    "ax2.plot(t.to_decimal(u.ms), I.to_decimal(u.mA), color='tab:orange')\n",
    "ax2.set_xlabel('Time [ms]')\n",
    "ax2.set_ylabel('Current [mA]')\n",
    "ax2.grid(alpha=0.3)\n",
    "\n",
    "fig.suptitle(f'RC Circuit Step Response (R={R}, C={C})')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time constant (tau): 0.001 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 900x600 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How It Works\n",
    "\n",
    "brainunit automatically registers a `QuantityConverter` with Matplotlib when imported.\n",
    "This converter:\n",
    "\n",
    "1. **Extracts numeric values** from `Quantity` objects via `.mantissa`\n",
    "2. **Sets axis labels** from the unit's display name\n",
    "3. **Handles unit conversion** if the axis already has a target unit\n",
    "\n",
    "You can check whether the converter was registered:"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-04T15:11:46.469983600Z",
     "start_time": "2026-03-04T15:11:46.395416300Z"
    }
   },
   "source": [
    "from brainunit._matplotlib_compat import matplotlib_converter_registered\n",
    "\n",
    "print('Matplotlib converter registered:', matplotlib_converter_registered)"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matplotlib converter registered: True\n"
     ]
    }
   ],
   "execution_count": 18
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tips for Unit-Aware Plotting\n",
    "\n",
    "| Approach | When to Use |\n",
    "|----------|-------------|\n",
    "| Pass `Quantity` directly | Auto axis labels, simple plots |\n",
    "| `.to_decimal(unit)` | When you need plain arrays for colorbar, custom formatting |\n",
    "| `.in_unit(unit)` | Convert to different unit, keep `Quantity` for plotting |\n",
    "| `.to(unit)` | Same as `.in_unit()` |"
   ]
  }
 ],
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