{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "pkg-title",
   "metadata": {},
   "source": "# Installing packages (still no server)\n\nnumbl ships with `mip`, a package manager for numbl packages. Packages are\nfetched from GitHub releases and cached in your browser's IndexedDB, so the\ndownload happens once.\n\nThe first cell you run in a session also bootstraps the engine, so expect a\nshort delay (progress is printed)."
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "pkg-install",
   "metadata": {},
   "outputs": [],
   "source": [
    "mip load --install chebfun"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "pkg-roots",
   "metadata": {},
   "outputs": [],
   "source": [
    "% Chebfun: numerical computing with functions\n",
    "x = chebfun('x', [0 4]);\n",
    "f = sin(x.^2);\n",
    "r = roots(f);\n",
    "fprintf('sin(x^2) has %d roots in [0, 4]\\n', numel(r));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "pkg-plot",
   "metadata": {},
   "outputs": [],
   "source": "% Evaluate the chebfun on a grid and mark its roots\nxx = linspace(0, 4, 400);\nplot(xx, f(xx));\nhold on;\nplot(r, f(r), 'ro');\nhold off;\ntitle('sin(x^2) and its roots');"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "numbl (MATLAB syntax)",
   "language": "numbl",
   "name": "numbl"
  },
  "language_info": {
   "codemirror_mode": "octave",
   "file_extension": ".m",
   "mimetype": "text/x-octave",
   "name": "numbl",
   "pygments_lexer": "matlab"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}