{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "numpyとfor文でどれくらい差が出るか比較しようとしたもの。10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def func1(N):\n",
    "    stime = time.time()\n",
    "    x = np.linspace(0, 2*np.pi, N)\n",
    "    y = np.cos(x)\n",
    "    return time.time() - stime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def func2(N):\n",
    "    stime = time.time()\n",
    "    x = [i*(2*np.pi)/float(N-1) for i in xrange(N)]\n",
    "    y = []\n",
    "    for _x in x:\n",
    "        y.append(np.cos(_x))\n",
    "    return time.time() - stime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def search(x, N, dN):\n",
    "    while dN > 2:\n",
    "        while func2(N) < func1(N)*x:\n",
    "            N += dN\n",
    "        else:\n",
    "            dN = dN/2\n",
    "            N -= dN\n",
    "            search(x, N, dN)\n",
    "    result = N\n",
    "    return result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def test(X):\n",
    "    a = np.arange(X)\n",
    "    b = []\n",
    "    for x in a:\n",
    "        b.append(search(x, 1000, 1000))\n",
    "    return b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "a = np.arange(30)\n",
    "b = test(30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60591e0690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f = plt.figure()\n",
    "ax = f.add_subplot(111)\n",
    "ax.set_xscale('linear')\n",
    "ax.set_yscale('log')\n",
    "ax.plot(a, np.array(b))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
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