{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Adaptive step-size selection for ODE filters\n",
    "\n",
    "\n",
    "In ProbNum the step size adaptation scheme from [Schober et al., 2019](https://arxiv.org/pdf/1610.05261.pdf) respectively [Bosch et al., 2021](https://arxiv.org/pdf/2012.08202.pdf) is implemented.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make inline plots vector graphics instead of raster graphics\n",
    "%matplotlib inline\n",
    "from IPython.display import set_matplotlib_formats\n",
    "\n",
    "set_matplotlib_formats(\"pdf\", \"svg\")\n",
    "\n",
    "# Plotting\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.style.use(\"../../probnum.mplstyle\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from probnum.diffeq import probsolve_ivp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by defining an ODE: the usual Lotka-Volterra problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(t, y):\n",
    "    y1, y2 = y\n",
    "    return np.array([0.5 * y1 - 0.05 * y1 * y2, -0.5 * y2 + 0.05 * y1 * y2])\n",
    "\n",
    "\n",
    "def df(t, y):\n",
    "    y1, y2 = y\n",
    "    return np.array([[0.5 - 0.05 * y2, -0.05 * y1], [0.05 * y2, -0.5 + 0.05 * y1]])\n",
    "\n",
    "\n",
    "t0 = 0.0\n",
    "tmax = 20.0\n",
    "y0 = np.array([20, 20])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### IBM(1) with EK0\n",
    "\n",
    "We start by showing how solving an IVP with adaptive steps works."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
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     "metadata": {
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   ],
   "source": [
    "sol = probsolve_ivp(f, t0, tmax, y0, df=df, algo_order=4, method=\"EK1\")\n",
    "\n",
    "evalgrid = np.linspace(t0, tmax, 200)\n",
    "means = sol(evalgrid).mean\n",
    "\n",
    "plt.plot(evalgrid, means[:, 0], label=\"Prey\")\n",
    "plt.plot(evalgrid, means[:, 1], label=\"Predators\")\n",
    "plt.legend(loc=\"upper right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets visualise the individual steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 800x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(evalgrid, means[:, 0], label=\"Prey\")\n",
    "plt.plot(evalgrid, means[:, 1], label=\"Predators\")\n",
    "for t in sol.locations:\n",
    "    plt.axvline(t, linewidth=0.5, color=\"gray\")\n",
    "plt.legend(loc=\"upper right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note how more steps are taken near the peaks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The same, for a few priors\n",
    "\n",
    "Let's consider how other priors fare in this setting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
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       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 1200x1200 with 4 Axes>"
      ]
     },
     "metadata": {
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     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo_orders = [2, 3]\n",
    "filters = [\"EK0\", \"EK1\"]\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(\n",
    "    nrows=len(algo_orders),\n",
    "    ncols=len(filters),\n",
    "    sharex=True,\n",
    "    sharey=True,\n",
    "    figsize=(12, 12),\n",
    ")\n",
    "\n",
    "evalgrid = np.linspace(t0, tmax, 100)\n",
    "\n",
    "for idx in range(len(algo_orders)):  # algo_orders in rows\n",
    "    for jdx in range(len(filters)):  # filters in cols\n",
    "        sol = probsolve_ivp(\n",
    "            f,\n",
    "            t0,\n",
    "            tmax,\n",
    "            y0,\n",
    "            df=df,\n",
    "            algo_order=algo_orders[idx],\n",
    "            method=filters[jdx],\n",
    "        )\n",
    "\n",
    "        solution = sol(evalgrid)\n",
    "        ts, means, stds = evalgrid, solution.mean, solution.std\n",
    "        ax[idx][jdx].plot(ts, means)\n",
    "\n",
    "        for t in sol.locations:\n",
    "            ax[idx][jdx].axvline(t, linewidth=0.2, color=\"black\")\n",
    "        ax[idx][jdx].set_title(f\"Order {algo_orders[idx]} w/{filters[jdx]}\")\n",
    "        ax[idx][jdx].set_xlim((t0, tmax))\n",
    "        ax[idx][jdx].set_ylim((-10, 35))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "They all seem to capture the true solution fairly well. The higher order takes significantly fewer steps than the lower order."
   ]
  }
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