{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a9600306",
   "metadata": {},
   "source": [
    "(quickstart)=\n",
    "\n",
    "\n",
    "# Quick Start"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ed242906",
   "metadata": {
    "tags": [
     "hide-cell"
    ]
   },
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "\n",
    "from matplotlib import rcParams\n",
    "\n",
    "rcParams[\"savefig.dpi\"] = 100\n",
    "rcParams[\"figure.dpi\"] = 100\n",
    "rcParams[\"font.size\"] = 12\n",
    "rcParams[\"legend.frameon\"] = False\n",
    "rcParams[\"lines.markersize\"] = 10\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97eab703",
   "metadata": {},
   "source": [
    "As a quick example, we show how to use riccati module to solve the Airy equation,\n",
    "\n",
    "$$ u''(t) + tu(t) = 0, $$\n",
    "\n",
    "on the interval $t \\in [1, 50]$, subject to the initial conditions $u(1) = 1$, $u'(1) = 0$. The equation takes the required form,\n",
    "\n",
    "$$ u''(t) + 2\\gamma(t)u'(t) + \\omega^2(t)u(t) = 0, $$\n",
    "\n",
    "with $\\gamma(t) = 0$ and $\\omega(t) = \\sqrt{t}$.\n",
    "\n",
    "First we import the necessary modules:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5c261c33",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import riccati"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f09b127",
   "metadata": {},
   "source": [
    "Then we need to define the problem by specifying the ODE coefficients, $\\omega(t)$ and $\\gamma(t)$ as callables, making sure that the result vectorises correctly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "19f51247",
   "metadata": {},
   "outputs": [],
   "source": [
    "w = lambda t: np.sqrt(t)\n",
    "g = lambda t: np.zeros_like(t) # Make sure the result is vectorised!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56ba86ee",
   "metadata": {},
   "source": [
    "We then define the ODE with `solversetup`. This is so that the same ODE can be solved repeatedly with different initial conditions or tolerance parameters, without overhead:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e80f2147",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set up the solver\n",
    "info = riccati.solversetup(w, g)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a8b89ca",
   "metadata": {},
   "source": [
    "To fully nail down the solution, we need to define the integration range and initial conditions, which are the only strictly necessary parameters for the solver to run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9f889fce",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Integration range\n",
    "ti = 1e0\n",
    "tf = 5e1\n",
    "# Initial conditions\n",
    "ui = 1.0\n",
    "dui = 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b746c42b",
   "metadata": {},
   "source": [
    "We'll now give some optional parameters: we set the (local) relative tolerance, `eps`, and we ask the solver to produce output at intermediate points (as opposed to points the solver would naturally step to; called dense output) for visualisation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "276967d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Relative tolerance (optional)\n",
    "eps = 1e-12\n",
    "# Dense output (optional)\n",
    "t_eval = np.linspace(ti, tf, 800)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f8363a4",
   "metadata": {},
   "source": [
    "We are now ready to solve! Some of the outputs are not important for this example, so we store them together in `misc`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "26c8133f",
   "metadata": {},
   "outputs": [],
   "source": [
    "ts, ys, *misc, y_eval = riccati.solve(info, ti, tf, ui, dui, eps = eps, xeval = t_eval)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6d06e9d",
   "metadata": {},
   "source": [
    "Finally, we plot the output:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "58a73273",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 261,
       "width": 407
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_eval, y_eval, label = \"Dense output\", color = 'k')\n",
    "plt.plot(ts, ys, '.', label = \"Internal step\", color = 'C1')\n",
    "plt.xlim(ti, tf)\n",
    "plt.xlabel('$t$')\n",
    "plt.ylabel('$u(t)$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d60c07b8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Tags",
  "kernelspec": {
   "display_name": "oscodetestenv",
   "language": "python",
   "name": "oscodetestenv"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
