{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sparse linear equations\n",
    "\n",
    "**Randall Romero Aguilar, PhD**\n",
    "\n",
    "This demo is based on the original Matlab demo accompanying the  <a href=\"https://mitpress.mit.edu/books/applied-computational-economics-and-finance\">Computational Economics and Finance</a> 2001 textbook by Mario Miranda and Paul Fackler.\n",
    "\n",
    "Original (Matlab) CompEcon file: **demlin03.m**\n",
    "\n",
    "Running this file requires the Python version of CompEcon. This can be installed with pip by running\n",
    "\n",
    "    !pip install compecon --upgrade\n",
    "\n",
    "<i>Last updated: 2022-Ago-19</i>\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from numpy.linalg import solve\n",
    "from scipy.sparse.linalg import spsolve\n",
    "from timeit import default_timer as timer\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.sparse import csc_matrix\n",
    "np.set_printoptions(precision=4)\n",
    "plt.style.use('seaborn-dark')\n",
    "plt.style.use('seaborn-talk')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define some timing functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "tic = lambda: timer()\n",
    "toc = lambda t: timer() - t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the time to solve a system of equations, for full and sparce matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "N, M = 800, 100\n",
    "\n",
    "AA = np.random.rand(N, N)\n",
    "bb = np.random.rand(N, 1)\n",
    "for i in range(N):\n",
    "    for j in range(N):\n",
    "        if abs(i - j) > 1:\n",
    "            AA[i,j] = 0\n",
    "\n",
    "nvalues = np.arange(20,N+1,30)\n",
    "times = pd.DataFrame(index=nvalues, columns=['Using full matrix','Using sparse matrix'])\n",
    "times.index.name='n'\n",
    "\n",
    "for n in nvalues:\n",
    "    A = AA[:n, :n]\n",
    "    b = bb[:n]\n",
    "    tt = tic()\n",
    "    for i in range(M):\n",
    "        x = solve(A, b)\n",
    "\n",
    "    toc1 = toc(tt)\n",
    "\n",
    "    S = csc_matrix(A)\n",
    "    tt = tic()\n",
    "    for i in range(M):\n",
    "        x = spsolve(S, b)\n",
    "\n",
    "    toc2 = toc(tt)\n",
    "    times.loc[n] = toc1, toc2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot effort ratio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0, 0.5, 'seconds'), Text(0.5, 1.0, 'Solve Time in seconds')]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times['Ratio'] = times['Using sparse matrix'] / times['Using full matrix']\n",
    "\n",
    "fig, axs = plt.subplots(2, 1, figsize=[12, 8], sharex=True)\n",
    "times['Ratio'].plot(ax=axs[0])\n",
    "axs[0].set(ylabel='Ratio', \n",
    "           title='Ratio of Sparse Solve Time to Full Solve Time')\n",
    "axs[0].axhline(1.0, color='gray', linestyle=':')           \n",
    "\n",
    "times[['Using full matrix', 'Using sparse matrix']].plot(ax=axs[1])\n",
    "axs[1].set(ylabel='seconds', \n",
    "           title='Solve Time in seconds')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Using full matrix</th>\n",
       "      <th>Using sparse matrix</th>\n",
       "      <th>Ratio</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>n</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.0102</td>\n",
       "      <td>0.009</td>\n",
       "      <td>0.8866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>0.0053</td>\n",
       "      <td>0.0084</td>\n",
       "      <td>1.5696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>0.0087</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>1.0656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>0.0144</td>\n",
       "      <td>0.0095</td>\n",
       "      <td>0.6626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>0.0232</td>\n",
       "      <td>0.0109</td>\n",
       "      <td>0.4709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>0.0316</td>\n",
       "      <td>0.027</td>\n",
       "      <td>0.853</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>0.0449</td>\n",
       "      <td>0.0159</td>\n",
       "      <td>0.3552</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>230</th>\n",
       "      <td>0.0659</td>\n",
       "      <td>0.0158</td>\n",
       "      <td>0.2398</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>260</th>\n",
       "      <td>0.0705</td>\n",
       "      <td>0.0327</td>\n",
       "      <td>0.4632</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>290</th>\n",
       "      <td>0.1058</td>\n",
       "      <td>0.0282</td>\n",
       "      <td>0.2665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>320</th>\n",
       "      <td>0.1259</td>\n",
       "      <td>0.0365</td>\n",
       "      <td>0.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>350</th>\n",
       "      <td>0.1581</td>\n",
       "      <td>0.0257</td>\n",
       "      <td>0.1629</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>380</th>\n",
       "      <td>0.2527</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>0.1137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>410</th>\n",
       "      <td>0.3158</td>\n",
       "      <td>0.0322</td>\n",
       "      <td>0.1019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>440</th>\n",
       "      <td>0.3881</td>\n",
       "      <td>0.0363</td>\n",
       "      <td>0.0934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>470</th>\n",
       "      <td>0.4484</td>\n",
       "      <td>0.0386</td>\n",
       "      <td>0.086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>0.5023</td>\n",
       "      <td>0.0326</td>\n",
       "      <td>0.065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>530</th>\n",
       "      <td>0.6297</td>\n",
       "      <td>0.0409</td>\n",
       "      <td>0.0649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>560</th>\n",
       "      <td>0.8072</td>\n",
       "      <td>0.0496</td>\n",
       "      <td>0.0615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>590</th>\n",
       "      <td>1.1535</td>\n",
       "      <td>0.0767</td>\n",
       "      <td>0.0665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>620</th>\n",
       "      <td>1.2339</td>\n",
       "      <td>0.0749</td>\n",
       "      <td>0.0607</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>650</th>\n",
       "      <td>1.4304</td>\n",
       "      <td>0.0689</td>\n",
       "      <td>0.0482</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>680</th>\n",
       "      <td>1.655</td>\n",
       "      <td>0.0658</td>\n",
       "      <td>0.0397</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>710</th>\n",
       "      <td>2.0531</td>\n",
       "      <td>0.0654</td>\n",
       "      <td>0.0318</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>740</th>\n",
       "      <td>2.3045</td>\n",
       "      <td>0.0836</td>\n",
       "      <td>0.0363</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>770</th>\n",
       "      <td>2.6417</td>\n",
       "      <td>0.0848</td>\n",
       "      <td>0.0321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <td>2.9693</td>\n",
       "      <td>0.0805</td>\n",
       "      <td>0.0271</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Using full matrix Using sparse matrix   Ratio\n",
       "n                                                \n",
       "20             0.0102               0.009  0.8866\n",
       "50             0.0053              0.0084  1.5696\n",
       "80             0.0087              0.0092  1.0656\n",
       "110            0.0144              0.0095  0.6626\n",
       "140            0.0232              0.0109  0.4709\n",
       "170            0.0316               0.027   0.853\n",
       "200            0.0449              0.0159  0.3552\n",
       "230            0.0659              0.0158  0.2398\n",
       "260            0.0705              0.0327  0.4632\n",
       "290            0.1058              0.0282  0.2665\n",
       "320            0.1259              0.0365    0.29\n",
       "350            0.1581              0.0257  0.1629\n",
       "380            0.2527              0.0287  0.1137\n",
       "410            0.3158              0.0322  0.1019\n",
       "440            0.3881              0.0363  0.0934\n",
       "470            0.4484              0.0386   0.086\n",
       "500            0.5023              0.0326   0.065\n",
       "530            0.6297              0.0409  0.0649\n",
       "560            0.8072              0.0496  0.0615\n",
       "590            1.1535              0.0767  0.0665\n",
       "620            1.2339              0.0749  0.0607\n",
       "650            1.4304              0.0689  0.0482\n",
       "680             1.655              0.0658  0.0397\n",
       "710            2.0531              0.0654  0.0318\n",
       "740            2.3045              0.0836  0.0363\n",
       "770            2.6417              0.0848  0.0321\n",
       "800            2.9693              0.0805  0.0271"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "times"
   ]
  }
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