{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "hide_input": true,
    "tags": [
     "active-ipynb",
     "remove-input",
     "remove-output"
    ]
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    from openmdao.utils.notebook_utils import notebook_mode\n",
    "except ImportError:\n",
    "    !python -m pip install openmdao[notebooks]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimizing a Paraboloid – The TL;DR Version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import openmdao.api as om\n",
    "\n",
    "# build the model\n",
    "prob = om.Problem()\n",
    "\n",
    "prob.model.add_subsystem('paraboloid', om.ExecComp('f = (x-3)**2 + x*y + (y+4)**2 - 3'))\n",
    "\n",
    "# setup the optimization\n",
    "prob.driver = om.ScipyOptimizeDriver()\n",
    "prob.driver.options['optimizer'] = 'SLSQP'\n",
    "\n",
    "prob.model.add_design_var('paraboloid.x', lower=-50, upper=50)\n",
    "prob.model.add_design_var('paraboloid.y', lower=-50, upper=50)\n",
    "prob.model.add_objective('paraboloid.f')\n",
    "\n",
    "prob.setup()\n",
    "\n",
    "# Set initial values.\n",
    "prob.set_val('paraboloid.x', 3.0)\n",
    "prob.set_val('paraboloid.y', -4.0)\n",
    "\n",
    "# run the optimization\n",
    "prob.run_driver()\n",
    "\n",
    "# minimum value\n",
    "print(prob.get_val('paraboloid.f'))\n",
    "\n",
    "# location of the minimum\n",
    "print(prob.get_val('paraboloid.x'))\n",
    "print(prob.get_val('paraboloid.y'))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": [
     "remove-input",
     "remove-output"
    ]
   },
   "outputs": [],
   "source": [
    "from openmdao.utils.assert_utils import assert_near_equal\n",
    "\n",
    "assert_near_equal(prob.get_val('paraboloid.f'), -27.33333, 1e-6)\n",
    "\n",
    "assert_near_equal(prob.get_val('paraboloid.x'), 6.6667, 1e-4)\n",
    "assert_near_equal(prob.get_val('paraboloid.y'), -7.33333, 1e-4)"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Tags",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
