{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n = int(0)\n",
      "\n",
      "float_type = np.float32\n",
      "\n",
      "my_sum = float_type(0)\n",
      "\n",
      "while True:\n",
      "    n += 1\n",
      "    last_sum = my_sum\n",
      "    my_sum += float_type(1 / n)\n",
      "    \n",
      "    if n % 200000 == 0:\n",
      "        print \"1/n = %g, sum0 = %g\"%(1.0/n, my_sum)\n",
      "        \n",
      "    if last_sum == my_sum:\n",
      "        print \"Stopped changing at %d\" % n\n",
      "        break"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "1/n = 5e-06, sum0 = 12.7828\n",
        "1/n = 2.5e-06, sum0 = 13.4814"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 1.66667e-06, sum0 = 13.8814"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 1.25e-06, sum0 = 14.1666"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 1e-06, sum0 = 14.3574"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 8.33333e-07, sum0 = 14.5481"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 7.14286e-07, sum0 = 14.7388"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 6.25e-07, sum0 = 14.9296"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 5.55556e-07, sum0 = 15.1203"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "1/n = 5e-07, sum0 = 15.311"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "Stopped changing at 2097152"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    }
   ],
   "metadata": {}
  }
 ]
}