{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from brightway2 import *\n",
    "import cPickle as pickle\n",
    "from time import time\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ei22 = Database(\"ecoinvent 2.2\")\n",
    "ei31 = Database(\"ecoinvent 3.1 cutoff\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def get_keys(db, n=5):\n",
    "    return [db.random() for x in range(n)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def normal_lca(db, n=5):\n",
    "    start = time()\n",
    "    times = []\n",
    "    for key in get_keys(db, n):\n",
    "        lca = LCA({key: 1})\n",
    "        lca.lci()\n",
    "        times.append(time() - start)\n",
    "    return times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def factorize_lca(db, n=5):\n",
    "    start = time()\n",
    "    times = []\n",
    "    keys = get_keys(db, n)\n",
    "    lca = LCA({keys[0]: 1})\n",
    "    lca.lci(factorize=True)\n",
    "    times.append(time() - start)\n",
    "    for key in keys[1:]:\n",
    "        lca.redo_lci({key: 1})\n",
    "        times.append(time() - start)\n",
    "    return times"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Warmup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warmed up\n"
     ]
    }
   ],
   "source": [
    "np.array([factorize_lca(ei31) for x in range(3)])\n",
    "np.array([factorize_lca(ei22) for x in range(3)])\n",
    "print \"Warmed up\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "without_f_22 = np.array([normal_lca(ei22) for x in range(100)])\n",
    "with_f_22 = np.array([factorize_lca(ei22) for x in range(100)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "without_f_31 = np.array([normal_lca(ei31) for x in range(100)])\n",
    "with_f_31 = np.array([factorize_lca(ei31) for x in range(100)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes.AxesSubplot at 0x139390e50>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NctZi5mo4p2ekySuOwTjYfG6+QmGzWTFB2cAOeBVnRVGU1ZI0Ms3v+XZ9qbsr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\nB/bNpbVBrdcDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x139390850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.tsplot(np.dstack((without_f_22, with_f_22)), condition=[\"Without factorize\", \"With factorize\"], color=\"husl\", ci=95, err_style=\"unit_traces\", estimator=np.median)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes.AxesSubplot at 0x1394966d0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FXq/OFtkwNII+DGCpbua05xqTq39dgThxdjgcjkuVTg9v5TSiMwABqlEzecRz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\nIiIiIiIiIiIiIiIiIiIiIiLH0P8PimnSS8XtJvEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x139390590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.tsplot(np.dstack((without_f_31, with_f_31)), condition=[\"Without factorize\", \"With factorize\"], color=\"husl\", ci=95, err_style=\"unit_traces\", estimator=np.median)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x119ebc550>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3gVHn3JXW2tcCXyaUlFzlnLtnqZPs2DGzuqPcRLZtG9P1WiZds+XR9RIRSbST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q+4whL3KA2gSxqSAwd96CUIwslkTJa3HWBzfxRcnhtLXHlEEpgMIe0h3qYiqT1SeGRVIkWOu73H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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13bea0f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.gcf()\n",
    "fig.set_size_inches(12, 6)\n",
    "plt.subplot(121)\n",
    "sns.tsplot(np.dstack((without_f_22, with_f_22)), condition=[\"Without factorize\", \"With factorize\"], color=\"husl\", ci=95, err_style=\"unit_traces\", estimator=np.median)\n",
    "plt.xticks(range(5), range(1, 6))\n",
    "plt.ylabel(\"Time (seconds)\")\n",
    "plt.xlabel(\"LCA calculations\")\n",
    "plt.title(\"ecoinvent 2.2\")\n",
    "plt.subplot(122)\n",
    "sns.tsplot(np.dstack((without_f_31, with_f_31)), condition=[\"Without factorize\", \"With factorize\"], color=\"husl\", ci=95, err_style=\"unit_traces\", estimator=np.median)\n",
    "plt.xticks(range(5), range(1, 6))\n",
    "plt.xlabel(\"LCA calculations\")\n",
    "plt.title(\"ecoinvent 3.1 cutoff\")\n",
    "plt.savefig(\"speed-comparison-factorize.\")"
   ]
  }
 ],
 "metadata": {
  "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": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
