{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 1: Introduction to ``braintools.input``\n",
    "\n",
    "Welcome to the ``braintools.input`` tutorial series! This module provides comprehensive tools for generating current inputs used in computational neuroscience simulations.\n",
    "\n",
    "## Learning Objectives\n",
    "\n",
    "By the end of this tutorial, you will:\n",
    "- Understand what current inputs are and their role in neuroscience\n",
    "- Learn the difference between Composable and Functional APIs\n",
    "- Set up your environment for braintools\n",
    "- Generate your first current inputs\n",
    "- Create basic visualizations of current signals"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. What are Current Inputs?\n",
    "\n",
    "Current inputs are electrical stimuli applied to neurons or neural models to study their behavior. They are fundamental in:\n",
    "\n",
    "- **Electrophysiology**: Injecting current through patch pipettes\n",
    "- **Optogenetics**: Light-activated current generation\n",
    "- **Neural stimulation**: Deep brain stimulation, TMS, etc.\n",
    "- **Computational modeling**: Simulating synaptic inputs and external stimuli\n",
    "\n",
    "### Types of Current Inputs\n",
    "\n",
    "- **Basic patterns**: Constant, step, ramp currents\n",
    "- **Periodic waveforms**: Sine waves, square waves, chirps\n",
    "- **Pulse patterns**: Spikes, bursts, synaptic-like pulses\n",
    "- **Stochastic inputs**: Noise, random processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Environment Setup\n",
    "\n",
    "Let's start by importing the necessary libraries and setting up our environment."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:48.958004Z",
     "start_time": "2025-09-26T09:29:48.953509Z"
    }
   },
   "source": [
    "# Essential imports\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import brainstate\n",
    "import brainunit as u\n",
    "import braintools\n",
    "\n",
    "# Set up plotting\n",
    "plt.style.use('default')\n",
    "plt.rcParams['figure.figsize'] = (10, 6)\n",
    "plt.rcParams['font.size'] = 12"
   ],
   "outputs": [],
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Two APIs Overview\n",
    "\n",
    "braintools.input provides two complementary APIs:\n",
    "\n",
    "### Composable API (Object-Oriented)\n",
    "- **Recommended for complex protocols**\n",
    "- Inputs are objects that can be combined and transformed\n",
    "- Supports operations like addition, multiplication, clipping\n",
    "- More flexible and powerful\n",
    "\n",
    "### Functional API (Traditional)\n",
    "- **Good for simple, direct array generation**\n",
    "- Functions that directly return arrays\n",
    "- Familiar to users of scipy.signal\n",
    "- More straightforward for basic use cases"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Setting Up the Simulation Environment\n",
    "\n",
    "Before generating any inputs, we need to set up the temporal resolution using brainstate's environment context."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:48.990587Z",
     "start_time": "2025-09-26T09:29:48.986396Z"
    }
   },
   "source": [
    "# Set the time step for our simulations\n",
    "dt = 0.1 * u.ms  # 100 microseconds - good resolution for most applications\n",
    "\n",
    "print(f\"Time step: {dt}\")\n",
    "print(f\"This means 1 ms contains {int(1 * u.ms / dt)} time points\")"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time step: 0.1 * msecond\n",
      "This means 1 ms contains 10 time points\n"
     ]
    }
   ],
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Your First Current Inputs\n",
    "\n",
    "Let's generate some basic current patterns using both APIs."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1 Constant Current"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.010434Z",
     "start_time": "2025-09-26T09:29:49.002224Z"
    }
   },
   "source": [
    "# Using Composable API\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    # Create a constant current of 5 nA for 1 second\n",
    "    constant_composable = braintools.input.Constant([(5.0, 1000 * u.ms)])\n",
    "    signal_composable = constant_composable()\n",
    "\n",
    "# Using Functional API  \n",
    "with brainstate.environ.context(dt=dt):\n",
    "    signal_functional = braintools.input.constant([(5.0, 1000 * u.ms)])[0]\n",
    "\n",
    "print(f\"Composable signal shape: {signal_composable.shape}\")\n",
    "print(f\"Functional signal shape: {signal_functional.shape}\")\n",
    "print(f\"Signals are equal: {np.allclose(u.get_magnitude(signal_composable), u.get_magnitude(signal_functional))}\")"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Composable signal shape: (10000,)\n",
      "Functional signal shape: (10000,)\n",
      "Signals are equal: True\n"
     ]
    }
   ],
   "execution_count": 14
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.137681Z",
     "start_time": "2025-09-26T09:29:49.043809Z"
    }
   },
   "source": [
    "# Let's plot the constant current\n",
    "def plot_signal(signal, duration, title, ax=None):\n",
    "    \"\"\"Helper function to plot current signals.\"\"\"\n",
    "    if ax is None:\n",
    "        fig, ax = plt.subplots(figsize=(10, 4))\n",
    "\n",
    "    # Create time axis\n",
    "    dt_val = u.get_magnitude(dt)\n",
    "    duration_val = u.get_magnitude(duration)\n",
    "    time_points = np.arange(0, duration_val, dt_val)\n",
    "\n",
    "    # Get signal magnitude\n",
    "    signal_val = u.get_magnitude(signal)\n",
    "\n",
    "    ax.plot(time_points, signal_val, 'b-', linewidth=2)\n",
    "    ax.set_xlabel('Time (ms)')\n",
    "    ax.set_ylabel('Current (nA)')\n",
    "    ax.set_title(title)\n",
    "    ax.grid(True, alpha=0.3)\n",
    "\n",
    "    return ax\n",
    "\n",
    "\n",
    "# Plot the constant current\n",
    "plot_signal(signal_composable, 1000 * u.ms, 'Constant Current: 5 nA for 1 second')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 15
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2 Ramp Current"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.312933Z",
     "start_time": "2025-09-26T09:29:49.156675Z"
    }
   },
   "source": [
    "# Create a ramp from 0 to 10 nA over 500 ms\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    # Composable API\n",
    "    ramp_composable = braintools.input.Ramp(0, 10, 500 * u.ms)\n",
    "    ramp_signal_comp = ramp_composable()\n",
    "\n",
    "    # Functional API\n",
    "    ramp_signal_func = braintools.input.ramp(0, 10, 500 * u.ms)\n",
    "\n",
    "# Plot both signals\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 8))\n",
    "\n",
    "plot_signal(ramp_signal_comp, 500 * u.ms, 'Ramp Current (Composable API)', ax1)\n",
    "plot_signal(ramp_signal_func, 500 * u.ms, 'Ramp Current (Functional API)', ax2)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(f\"Maximum difference between APIs: {np.max(np.abs(u.get_magnitude(ramp_signal_comp - ramp_signal_func))):.2e} nA\")"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum difference between APIs: 0.00e+00 nA\n"
     ]
    }
   ],
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.3 Step Current"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.397302Z",
     "start_time": "2025-09-26T09:29:49.321846Z"
    }
   },
   "source": [
    "# Create a step current: 0 → 3 → 7 → 0 nA\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    step_current = braintools.input.Step(\n",
    "        [0, 3, 7, 0],\n",
    "        [100 * u.ms, 200 * u.ms, 200 * u.ms, 100 * u.ms],\n",
    "        duration=600 * u.ms\n",
    "    )\n",
    "    step_signal = step_current()\n",
    "\n",
    "plot_signal(step_signal, 600 * u.ms, 'Step Current Protocol')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Basic Waveforms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.1 Sinusoidal Current"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.492990Z",
     "start_time": "2025-09-26T09:29:49.402832Z"
    }
   },
   "source": [
    "# Generate a 10 Hz sinusoidal current\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    sine_current = braintools.input.Sinusoidal(amplitude=2.0, frequency=10 * u.Hz, duration=500 * u.ms)\n",
    "    sine_signal = sine_current()\n",
    "\n",
    "plot_signal(sine_signal, 500 * u.ms, 'Sinusoidal Current: 2 nA amplitude, 10 Hz')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 18
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.2 Square Wave Current"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.585105Z",
     "start_time": "2025-09-26T09:29:49.501128Z"
    }
   },
   "source": [
    "# Generate a 5 Hz square wave with 30% duty cycle\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    square_current = braintools.input.Square(amplitude=4.0, frequency=5 * u.Hz, duration=800 * u.ms, duty_cycle=0.3)\n",
    "    square_signal = square_current()\n",
    "\n",
    "plot_signal(square_signal, 800 * u.ms, 'Square Wave: 4 nA amplitude, 5 Hz, 30% duty cycle')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 19
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Understanding Parameters and Units\n",
    "\n",
    "braintools.input uses brainunit for proper unit handling. This ensures dimensional consistency and prevents common errors."
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.597568Z",
     "start_time": "2025-09-26T09:29:49.591876Z"
    }
   },
   "source": [
    "# Examples of different units\n",
    "print(\"Time units:\")\n",
    "print(f\"1 second = {1 * u.second}\")\n",
    "print(f\"500 milliseconds = {500 * u.ms}\")\n",
    "print(f\"100 microseconds = {100 * u.us}\")\n",
    "\n",
    "print(\"\\nCurrent units:\")\n",
    "print(f\"1 nanoamp = {1 * u.nA}\")\n",
    "print(f\"1 picoamp = {1 * u.pA}\")\n",
    "print(f\"0.5 microamp = {0.5 * u.uA}\")\n",
    "\n",
    "print(\"\\nFrequency units:\")\n",
    "print(f\"10 Hz = {10 * u.Hz}\")\n",
    "print(f\"1 kHz = {1 * u.kHz}\")"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time units:\n",
      "1 second = 1 * second\n",
      "500 milliseconds = 500 * msecond\n",
      "100 microseconds = 100 * usecond\n",
      "\n",
      "Current units:\n",
      "1 nanoamp = 1 * namp\n",
      "1 picoamp = 1 * pamp\n",
      "0.5 microamp = 0.5 * uamp\n",
      "\n",
      "Frequency units:\n",
      "10 Hz = 10 * hertz\n",
      "1 kHz = 1 * khertz\n"
     ]
    }
   ],
   "execution_count": 20
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.856242Z",
     "start_time": "2025-09-26T09:29:49.617363Z"
    }
   },
   "source": [
    "# Example: Creating currents with different amplitudes and units\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    # Small current in picoamps\n",
    "    small_current = braintools.input.Constant([(100 * u.pA, 200 * u.ms)])\n",
    "    small_signal = small_current()\n",
    "\n",
    "    # Medium current in nanoamps\n",
    "    medium_current = braintools.input.Constant([(2 * u.nA, 200 * u.ms)])\n",
    "    medium_signal = medium_current()\n",
    "\n",
    "    # Large current in microamps\n",
    "    large_current = braintools.input.Constant([(0.01 * u.uA, 200 * u.ms)])\n",
    "    large_signal = large_current()\n",
    "\n",
    "# Plot all three\n",
    "fig, axes = plt.subplots(3, 1, figsize=(10, 10))\n",
    "\n",
    "plot_signal(small_signal, 200 * u.ms, 'Small Current: 100 pA', axes[0])\n",
    "plot_signal(medium_signal, 200 * u.ms, 'Medium Current: 2 nA', axes[1])\n",
    "plot_signal(large_signal, 200 * u.ms, 'Large Current: 0.01 μA = 10 nA', axes[2])\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\n",
    "    f\"All currents in nA: {u.get_magnitude(small_signal[0]):.3f}, {u.get_magnitude(medium_signal[0]):.3f}, {u.get_magnitude(large_signal[0]):.3f}\")"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All currents in nA: 100.000, 2.000, 0.010\n"
     ]
    }
   ],
   "execution_count": 21
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9. Key Concepts Summary\n",
    "\n",
    "### What we learned:\n",
    "\n",
    "1. **Current inputs** are fundamental tools in neuroscience for stimulating neurons and neural circuits\n",
    "\n",
    "2. **Two APIs available**:\n",
    "   - **Composable API**: Object-oriented, more powerful for complex protocols\n",
    "   - **Functional API**: Simple function calls, good for basic use\n",
    "\n",
    "3. **Essential setup**:\n",
    "   - Always use `brainstate.environ.context(dt=...)` to set temporal resolution\n",
    "   - Use `brainunit` for proper unit handling\n",
    "\n",
    "4. **Basic input types**:\n",
    "   - `Constant`: Sustained current levels\n",
    "   - `Step`: Instantaneous current changes\n",
    "   - `Ramp`: Linear current transitions\n",
    "   - `Section`: Multi-phase protocols\n",
    "   - `Sinusoidal`: Rhythmic oscillations\n",
    "   - `Square`: Pulse-like patterns\n",
    "\n",
    "5. **Units matter**: Always specify proper units (nA, ms, Hz) to avoid errors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 10. Practice Exercises\n",
    "\n",
    "Try these exercises to reinforce your learning:"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.871484Z",
     "start_time": "2025-09-26T09:29:49.867622Z"
    }
   },
   "source": [
    "# Exercise 1: Create a 2-second constant current of 3 nA\n",
    "# Your code here:\n",
    "\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    # TODO: Create constant current\n",
    "    pass\n",
    "\n",
    "# Uncomment to test:\n",
    "# plot_signal(your_signal, 2000*u.ms, 'Exercise 1: 3 nA constant current')\n",
    "# plt.show()"
   ],
   "outputs": [],
   "execution_count": 22
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.905492Z",
     "start_time": "2025-09-26T09:29:49.902674Z"
    }
   },
   "source": [
    "# Exercise 2: Create a ramp from -5 to 5 nA over 500 ms\n",
    "# Your code here:\n",
    "\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    # TODO: Create ramp\n",
    "    pass\n",
    "\n",
    "# Uncomment to test:\n",
    "# plot_signal(your_ramp, 500*u.ms, 'Exercise 2: -5 to 5 nA ramp')\n",
    "# plt.show()"
   ],
   "outputs": [],
   "execution_count": 23
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:49.915150Z",
     "start_time": "2025-09-26T09:29:49.912338Z"
    }
   },
   "source": [
    "# Exercise 3: Create a 20 Hz sinusoidal current with 1.5 nA amplitude for 300 ms\n",
    "# Your code here:\n",
    "\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    # TODO: Create sinusoidal current\n",
    "    pass\n",
    "\n",
    "# Uncomment to test:\n",
    "# plot_signal(your_sine, 300*u.ms, 'Exercise 3: 20 Hz sinusoid')\n",
    "# plt.show()"
   ],
   "outputs": [],
   "execution_count": 24
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solutions (Run after attempting exercises)"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:50.002457Z",
     "start_time": "2025-09-26T09:29:49.920623Z"
    }
   },
   "source": [
    "# Solution 1\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    ex1_current = braintools.input.Constant([(3.0, 2000 * u.ms)])\n",
    "    ex1_signal = ex1_current()\n",
    "\n",
    "plot_signal(ex1_signal, 2000 * u.ms, 'Solution 1: 3 nA constant current')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 25
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:50.083027Z",
     "start_time": "2025-09-26T09:29:50.007864Z"
    }
   },
   "source": [
    "# Solution 2\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    ex2_ramp = braintools.input.Ramp(-5, 5, 500 * u.ms)\n",
    "    ex2_signal = ex2_ramp()\n",
    "\n",
    "plot_signal(ex2_signal, 500 * u.ms, 'Solution 2: -5 to 5 nA ramp')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 26
  },
  {
   "cell_type": "code",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-26T09:29:50.174304Z",
     "start_time": "2025-09-26T09:29:50.088054Z"
    }
   },
   "source": [
    "# Solution 3\n",
    "with brainstate.environ.context(dt=dt):\n",
    "    ex3_sine = braintools.input.Sinusoidal(1.5, 20 * u.Hz, 300 * u.ms)\n",
    "    ex3_signal = ex3_sine()\n",
    "\n",
    "plot_signal(ex3_signal, 300 * u.ms, 'Solution 3: 20 Hz sinusoid, 1.5 nA amplitude')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 27
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Next Steps\n",
    "\n",
    "Now that you understand the basics, you can move on to:\n",
    "\n",
    "- **Tutorial 2: Functional APIs** - Deep dive into the functional approach with all input types\n",
    "- **Tutorial 3: Composable APIs** - Learn to combine and transform inputs for complex protocols  \n",
    "- **Tutorial 4: Custom Transformations and Pipelines** - Advanced techniques for real-world applications\n",
    "\n",
    "Great job completing your first ``braintools.input`` tutorial! 🎉"
   ]
  }
 ],
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   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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}