Progress bar of scipy ode solver with tqdm

Progress Bar with scipy.ipynb

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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we will attempt to have a progress bar display on a odeint-like solver.\n",
    "\n",
    "Let's solve the following equation:\n",
    "\n",
    "$ \\frac{dy}{dt} = i\\omega y $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example from documentation:\n",
    "```\n",
    "with tqdm(total=100) as pbar:\n",
    "    for i in range(10):\n",
    "        sleep(0.1)\n",
    "        pbar.update(10)\n",
    "        ```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.integrate import solve_ivp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "from tqdm import tqdm\n",
    "\n",
    "%matplotlib inline\n",
    "from IPython.display import set_matplotlib_formats\n",
    "set_matplotlib_formats('svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fun(t, y, omega, pbar, state):\n",
    "    # state is a list containing last updated time t:\n",
    "    # state = [last_t, dt]\n",
    "    # I used a list because its values can be carried between function\n",
    "    # calls throughout the ODE integration\n",
    "    last_t, dt = state\n",
    "    \n",
    "    # let's subdivide t_span into 1000 parts\n",
    "    # call update(n) here where n = (t - last_t) / dt\n",
    "    time.sleep(0.1)\n",
    "    n = int((t - last_t)/dt)\n",
    "    pbar.update(n)\n",
    "    # this we need to take into account that n is a rounded number.\n",
    "    state[0] = last_t + dt * n\n",
    "    \n",
    "    # YOUR CODE HERE\n",
    "    dydt = 1j * y * omega\n",
    "    return dydt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████▉| 999/1000 [00:13<00:00, 71.69‰/s]\n"
     ]
    }
   ],
   "source": [
    "T0 = 0\n",
    "T1 = 1\n",
    "t_span = (T0, T1)\n",
    "omega = 20\n",
    "y0 = np.array([1], dtype=np.complex)\n",
    "t_eval = np.arange(*t_span, 0.25/omega)\n",
    "\n",
    "with tqdm(total=1000, unit=\"‰\") as pbar:\n",
    "    sol = solve_ivp(\n",
    "        fun,\n",
    "        t_span,\n",
    "        y0,\n",
    "        t_eval=t_eval,\n",
    "        args=[omega, pbar, [T0, (T1-T0)/1000]],\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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thanks for the nice example.
I have implemented your example in my code and encountered one major issue which is related to the way the ode solver works:

in my case the ode solver does not go monotonically from small to larger time steps (at least not, when I do not restrict the time stepping).
This leads to the fact, that the solver first makes a very large step and then goes again back in time until it starts actually to do monotonic steps.

I was wondering if you might already found a solution for this type of problem, instead of restricting the stepping of the solver?

Thank you for pointing this out. The issue is that tqdm doesn't offer a native manual update operation where you can go back in time. They only offer this .update method which is supposed to be used with "increments". If I may ask, what is the behavior of the progress bar in your ODE? How bit is that first step compared to the T1-T0 range?

A workaround you can use is to catch the desired behavior using if statements and only call pbar.update when you know for sure that t is increasing.