Doc/notebooks/2_PythonIntro.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction à Python\n",
    "<span style=\"color:blue; font-family:Georgia; font-size:1.5em;\">Ahmed Ammar and Hassen Ghalila</span>\n",
    "\n",
    "<span style=\"color:blue; font-family:Georgia; font-size:1em;\">Tunis Faculty of Sciences, University of Tunis El Manar- Tunisia</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Thu May 18 08:16:32 2017\n"
     ]
    }
   ],
   "source": [
    "# This gives the last run:\n",
    "import time\n",
    "print(time.ctime())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Python as calculator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the function **print()** is not necessary to obtain results. You just need to write the operations and push the **`<SHIFT> + <ENTER>`** keyboard."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "24"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2 + 22"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.4"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(2+3)*(3+4)/(5*5)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Spaces are appreciated in Python (but not only) in order to make scripts more readable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.4"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(2+3) * (3+4.) / (5*5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The good way to write Python code is well described in the following document: http://legacy.python.org/dev/peps/pep-0008/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assignment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As all other languages you can assign a value to a variable using the sign *=*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = a + 1\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a *= 4 # semblable à a = a * 4\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 3)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a, b = 1, 3\n",
    "a, b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Somme names are Python keywords and then not availabe. You can obtaint the list by typing the two lines:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['False', 'None', 'True', 'and', 'as', 'assert', 'break', 'class', 'continue', 'def', 'del', 'elif', 'else', 'except', 'finally', 'for', 'from', 'global', 'if', 'import', 'in', 'is', 'lambda', 'nonlocal', 'not', 'or', 'pass', 'raise', 'return', 'try', 'while', 'with', 'yield']\n"
     ]
    }
   ],
   "source": [
    "import keyword\n",
    ">>> print(keyword.kwlist)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You should care here with the name **lambda** which is often use in science. We can add a sign if we want to use this name, such as shown is this example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lambda_ = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comments\n",
    " Comments are used to help programmers and is ignored by the Python interpreter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = 2          # This is a comment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For short comment you can use **(#)** sign at the end of the line. But for a longer comment it is better to use delimiters **(“””)** on each end of the comment, as follow:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'This is a long comment that spans several line codes.\\n Remember to comment as often as possible when programming.\\n Ciao'"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"This is a long comment that spans several line codes.\n",
    " Remember to comment as often as possible when programming.\n",
    " Ciao\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Types"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Types are used in Python are : integers, long integers, floats (double prec.), complexes, strings, booleans.\n",
    "\n",
    "The function **type()** returns the type of its argument:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "int"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "float"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(2.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "int(0.8) # Truncation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(0.8765566777) # Closest value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = 1.5 + 0.5j # Complex number"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2+1.5j)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a**2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5+0j)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(1+2j)*(1-2j)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.5"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.real"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.25"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(a**3).imag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.5-0.5j)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.conjugate()  # conjugate is a function so it needs ()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Booleans"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comparison operators are: <, >, <=, >=, ==, !="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "5 < 7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = 5\n",
    "b = 7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b < a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "c = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c < a < b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a < b and b < c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True <class 'bool'>\n"
     ]
    }
   ],
   "source": [
    "res = a < 7\n",
    "print(res, type(res))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "print (int(res))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "not res is True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "a = True\n",
    "print (a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Managing strings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(\"Hello world!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print ('Hello world!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello I'm here\n"
     ]
    }
   ],
   "source": [
    "print (\"Hello I'm here\")   # Note the ' sign inside \"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a = 7.500000, b = tralala, c = 8.900000e-33\n"
     ]
    }
   ],
   "source": [
    "# Former output formats used in C style\n",
    "a = 7.5\n",
    "b = 'tralala'\n",
    "c = 8.9e-33\n",
    "print('a = %f, b = %s, c = %e' % (a, b, c))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is possible to use the C style format outputs such as shown in the example above. Python also propose a new possibility using the **format()** method which act on strings controled by braces. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a = 7.5, b = tralala, c = 8.9e-33\n",
      "a = 56.25, b = tralala, c = 8.9e-33\n",
      "a = 7.500000, b = tralala             , c =       8.900e-33\n"
     ]
    }
   ],
   "source": [
    "# Format() method the new way of formatting strings \n",
    "print('a = {}, b = {}, c = {}'.format(a,b,c))\n",
    "print('a = {0}, b = {1}, c = {2}'.format(a**2,b,c))\n",
    "print('a = {:f}, b = {:20s}, c = {:15.3e}'.format(a,b,c))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Strings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "a=\"This is a string\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Many commands may be applied on strings. Here are some of them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'THIS IS A STRING'"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.upper()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'This Is A String'"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.title()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['This', 'is', 'a', 'string']"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.split()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'This'"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.split()[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = \"This is a string. Including several sentences. Separated by dots\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['This is a string', ' Including several sentences', ' Separated by dots']"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.split('.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Including several sentences'"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.split('.')[1].strip() # We choose '.' as separator \n",
    "                        # The default is the (space)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Concatanation is also easy to manipulate.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tra la la\n",
      "tra-la-la\n",
      "tralala\n",
      "['tra', 'la', 'la']\n",
      "tra & la & la\\\\\n"
     ]
    }
   ],
   "source": [
    "a = 'tra'\n",
    "b = 'la'\n",
    "print (' '.join((a,b,b)))\n",
    "print ('-'.join((a,b,b)))\n",
    "print (''.join((a,b,b)))\n",
    "print (' '.join((a,b,b)).split())\n",
    "print (' & '.join((a,b,b)) + '\\\\\\\\')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lists, tuples, strings and dictionaries"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lists:\n",
    "A list is a collection of element of differents types. It has an order. A string is a kind of list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "L = ['red','green','blue'] # To define a list we use brackets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "list"
      ]
     },
     "execution_count": 175,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(L)   # Print L type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'green'"
      ]
     },
     "execution_count": 176,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'red'"
      ]
     },
     "execution_count": 177,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[0] # Indices start at 0 !!!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'blue'"
      ]
     },
     "execution_count": 178,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[-1] # Last element"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'red'"
      ]
     },
     "execution_count": 179,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[-3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "L = L + ['black', 'white'] # We can append elements using '+' sign. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['red', 'green', 'blue', 'black', 'white']\n"
     ]
    }
   ],
   "source": [
    "print(L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['green', 'blue']"
      ]
     },
     "execution_count": 182,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[1:3] # L [start: stop]: elements index i, where start <= i <stop !! stop is not included"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['blue', 'black', 'white']"
      ]
     },
     "execution_count": 183,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[2:] # We can omit limits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['black', 'white']"
      ]
     },
     "execution_count": 184,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[-2:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red', 'blue', 'white']"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[::2] # L [start: stop: step] !! each 2 elements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['white', 'black', 'blue', 'green', 'red']"
      ]
     },
     "execution_count": 186,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[::-1] # reverse order"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can modify elements of lists."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red', 'green', 'yellow', 'black', 'white']"
      ]
     },
     "execution_count": 187,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L[2] = 'yellow'\n",
    "L"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also append elements with the **append** or **extend** method. Or simply by using '+' sign as shown previously."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red', 'green', 'yellow', 'black', 'white', 'pink']"
      ]
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L.append('pink') # Add a vlaue at the end\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red', 'green', 'blue', 'yellow', 'black', 'white', 'pink']"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L.insert(2, 'blue')    #L.insert (index, objet) -- insert an element at the index 2\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red',\n",
       " 'green',\n",
       " 'blue',\n",
       " 'yellow',\n",
       " 'black',\n",
       " 'white',\n",
       " 'pink',\n",
       " 'magenta',\n",
       " 'purple']"
      ]
     },
     "execution_count": 190,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L.extend(['magenta', 'purple'])\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red',\n",
       " 'green',\n",
       " 'blue',\n",
       " 'yellow',\n",
       " 'black',\n",
       " 'white',\n",
       " 'pink',\n",
       " 'magenta',\n",
       " 'purple',\n",
       " ['magenta', 'azul']]"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L.append(['magenta', 'azul'])\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['red',\n",
       " 'green',\n",
       " 'blue',\n",
       " 'yellow',\n",
       " 'black',\n",
       " 'white',\n",
       " 'pink',\n",
       " 'magenta',\n",
       " 'purple',\n",
       " ['magenta', 'azul'],\n",
       " 2]"
      ]
     },
     "execution_count": 192,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L.append(2)\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2,\n",
       " ['magenta', 'azul'],\n",
       " 'purple',\n",
       " 'magenta',\n",
       " 'pink',\n",
       " 'white',\n",
       " 'black',\n",
       " 'yellow',\n",
       " 'blue',\n",
       " 'green',\n",
       " 'red']"
      ]
     },
     "execution_count": 193,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L = L[::-1] # Reverse order\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, ['magenta', 'azul'], 'purple', 'magenta', 'pink', 'white', 'black', 'yellow', 'blue', 'green', 'red']\n",
      "[2, ['magenta', 'azul'], 'purple', 'magenta', 'pink', 'white', 'black', 'yellow']\n"
     ]
    }
   ],
   "source": [
    "L2 = L[:-3] # Suppress the last 3 elements\n",
    "print (L)\n",
    "print (L2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {},
   "outputs": [
    {
     "ename": "IndexError",
     "evalue": "list index out of range",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-195-336268330c15>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mL\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m25\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;31m# Out of range lead to errors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mIndexError\u001b[0m: list index out of range"
     ]
    }
   ],
   "source": [
    "L[25] # Out of range lead to errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, ['magenta', 'azul'], 'purple', 'magenta', 'pink', 'white', 'black', 'yellow', 'blue', 'green', 'red']\n",
      "[]\n",
      "[]\n",
      "['purple', 'magenta', 'pink', 'white', 'black', 'yellow', 'blue', 'green', 'red']\n"
     ]
    }
   ],
   "source": [
    "print(L)\n",
    "print (L[20:25]) # No error when slicing\n",
    "print(L[20:])\n",
    "print (L[2:20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "print (L.count('yellow')) # Return the number of times x appears in the list"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the TAB key just after 'L.' to obtain all the possible function that we can apply to the object L. Or execute the command dir(L):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['__add__',\n",
       " '__class__',\n",
       " '__contains__',\n",
       " '__delattr__',\n",
       " '__delitem__',\n",
       " '__dir__',\n",
       " '__doc__',\n",
       " '__eq__',\n",
       " '__format__',\n",
       " '__ge__',\n",
       " '__getattribute__',\n",
       " '__getitem__',\n",
       " '__gt__',\n",
       " '__hash__',\n",
       " '__iadd__',\n",
       " '__imul__',\n",
       " '__init__',\n",
       " '__iter__',\n",
       " '__le__',\n",
       " '__len__',\n",
       " '__lt__',\n",
       " '__mul__',\n",
       " '__ne__',\n",
       " '__new__',\n",
       " '__reduce__',\n",
       " '__reduce_ex__',\n",
       " '__repr__',\n",
       " '__reversed__',\n",
       " '__rmul__',\n",
       " '__setattr__',\n",
       " '__setitem__',\n",
       " '__sizeof__',\n",
       " '__str__',\n",
       " '__subclasshook__',\n",
       " 'append',\n",
       " 'clear',\n",
       " 'copy',\n",
       " 'count',\n",
       " 'extend',\n",
       " 'index',\n",
       " 'insert',\n",
       " 'pop',\n",
       " 'remove',\n",
       " 'reverse',\n",
       " 'sort']"
      ]
     },
     "execution_count": 205,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dir(L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = [1,2,3]\n",
    "b = [10,20,30]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 10, 20, 30]\n"
     ]
    }
   ],
   "source": [
    "print(a+b) # Maybe not what you expect but rather logical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "can't multiply sequence by non-int of type 'list'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-208-3fdd2e038bd5>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Not possible to multiply. We should use Numpy array to do this.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m: can't multiply sequence by non-int of type 'list'"
     ]
    }
   ],
   "source": [
    "print(a*b) # Not possible to multiply. We should use Numpy array to do this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "range(0, 4)"
      ]
     },
     "execution_count": 209,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L = range(4) # Create a list. The argument define the number of elements\n",
    "L"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "range(2, 20, 2)"
      ]
     },
     "execution_count": 211,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L = range(2, 20, 2) # Each 2 integer\n",
    "L"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tuples:\n",
    "Similar to the lists but unchangeable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 2, 3)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T = (1,2,3)\n",
    "T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 2, 3)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "tuple"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T2 = 1, 2, 3\n",
    "print (T2)\n",
    "type(T2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can not change elemnts, so the following instruction doesn't work:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "'tuple' object does not support item assignment",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-5-4b3ce32fce5e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mT\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m3\u001b[0m \u001b[0;31m# Wrong\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment"
     ]
    }
   ],
   "source": [
    "T[1] = 3 # Wrong"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dictionnaries\n",
    "Dictionary is another useful data type built into Python. It is similar to list but each element is a set of key-value pairs. Unlike the lists they are unordered."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "D = {'Christophe': 12, 'Antonio': 15} # 2  'key:value' pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D['Christophe'] # Access to on key value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['Antonio', 'Christophe'])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D.keys() # Gives a list of key in D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "D['Julio'] = 16 # Added a new key"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'Julio': 16, 'Antonio': 15, 'Christophe': 12}\n"
     ]
    }
   ],
   "source": [
    "print(D)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Flow controle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conditional statments: if - elif - else\n",
    "The example bellow show the structure of a contidional statment. Pay attention to the **:** sign for each block."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.000000 is less than 5.000000\n"
     ]
    }
   ],
   "source": [
    "a, b = 4, 5\n",
    "if a > b:\n",
    "    print(\"%f is greater than %f\" % (a,b) )\n",
    "elif a == b:\n",
    "    print(\"%f is egal to %f\" % (a,b) )\n",
    "else:\n",
    "    print(\"%f is less than %f\" % (a,b) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### For loop\n",
    "The **for** loop allow the iteration of iterable object such as lists, tuples, strings or any iterable object. We note the **:** sign defining the begining of the loop."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 20 30 "
     ]
    }
   ],
   "source": [
    "# Loop on lists\n",
    "lst = [10, 20, 30] \n",
    "for n in lst:\n",
    "    print(n, end=' ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 10\n",
      "1 20\n",
      "2 30\n"
     ]
    }
   ],
   "source": [
    "# Loop on tuple\n",
    "for index in range(len(lst)):\n",
    "    print(index, lst[index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 10\n",
      "1 20\n",
      "2 30\n"
     ]
    }
   ],
   "source": [
    "for index, val in enumerate(lst):\n",
    "    print(index, val) # same print as previous"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Strngs f chrctrs"
     ]
    }
   ],
   "source": [
    "# Loop on strings\n",
    "voyelles = 'aeiouy'\n",
    "for car in 'Strings of characters':\n",
    "    if car not in voyelles:\n",
    "        print(car, end='')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To iterat over a serie of integers we can use the function range, previously introduced."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{1: 1, 2: 4, 3: 9}"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Lopp on dictionaries\n",
    "carres = {}\n",
    "for n in range(1,4):\n",
    "    carres[n] = n**2\n",
    "carres"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Loop while\n",
    "The while loop allows the execution of a block of intructions as long as a condition is verified. Here also the **:** sign define the begining of the loop."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n",
      "2 4\n",
      "3 9\n",
      "4 16\n",
      "5 25\n"
     ]
    }
   ],
   "source": [
    "nb = 1 ; stop = 5\n",
    "# Print the square of number as long as the number is less than stop\n",
    "while nb <= stop:\n",
    "    print(nb, nb**2)\n",
    "    nb += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Functions, modules, packages, scripts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Functions\n",
    "We generaly use a function when a set of intructions may be called several times. The decomposition of a large code on small modules lead to a more compact, readable and efficient programming. \n",
    "The example bellow shows the basic principals of a Python functions:\n",
    "- The first line **def nomFonction(arguments...):** defines the name with which we will invoke the function followed by parentheses included the possible arguments. This first line should finished by the **:** sign.\n",
    "- All the instructions belonging to the function should be indented\n",
    "- At the begining we can define, as a comments, the function-help (docstring) which will be printed by using the command **help(function)**.\n",
    "- The **return** instruction go back to the calling module sending the computed variable. If no argument are evolved then the function will return *None* (null object). In the following example, the function return two values that we enclosed in a tuple form."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def somProd(n1, n2):\n",
    "    \"\"\"This function calculates the sum and the product of the two arguments: n1 and n2.\n",
    "    The result is return in a tuple type (sum, product)\"\"\"\n",
    "    return (n1+n2, n1*n2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function somProd in module __main__:\n",
      "\n",
      "somProd(n1, n2)\n",
      "    This function calculates the sum and the product of the two arguments: n1 and n2.\n",
      "    The result is return in a tuple type (sum, product)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(somProd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(13, 30)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "somProd(3,10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "somProd() missing 2 required positional arguments: 'n1' and 'n2'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-8-412ab81b3315>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0msomProd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m  \u001b[0;31m# Error \"somProd() takes exactly 2 args\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m            \u001b[0;31m# same error if we pass 1 or >2 args.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mTypeError\u001b[0m: somProd() missing 2 required positional arguments: 'n1' and 'n2'"
     ]
    }
   ],
   "source": [
    "somProd()  # Error \"somProd() takes exactly 2 args\"\n",
    "           # same error if we pass 1 or >2 args."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is possible to assign the value of a function at a variable because it is equivalent to an object. And then use it as an alias of the function !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(13, 30)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp = somProd\n",
    "sp(3,10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When calling function, we can send arguments by key-names such as **paramter=value** in such a way that the order is not importante. This also allows to define some optional parameters. \n",
    "<!--On peut en outre définir, dans la déclaration def, des paramètres optionnels. Si l'argument n'est pas fourni lors de l'appel de la fonction, c'est la valeur par défaut indiquées dans la définition qui sera utilisée par la fonction.-->\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def fct(p1, p2=9, p3='abc'):\n",
    "    # 1 param. obligatoire, et 2 param. optionnals\n",
    "    return (p1, p2, p3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "fct() missing 1 required positional argument: 'p1'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-11-12614820b724>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfct\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m         \u001b[0;31m# => erreur (1 param. oblig.)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m: fct() missing 1 required positional argument: 'p1'"
     ]
    }
   ],
   "source": [
    "print(fct())         # => erreur (1 param. oblig.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 9, 'abc')\n"
     ]
    }
   ],
   "source": [
    "print(fct(1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 2, 'abc')\n"
     ]
    }
   ],
   "source": [
    "print(fct(1, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 2, 3)\n"
     ]
    }
   ],
   "source": [
    "print(fct(1, 2, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('xyz', 9, 3)\n"
     ]
    }
   ],
   "source": [
    "print(fct(p3=3, p1='xyz'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Modules\n",
    "Hopefully Python supports modular programming at different levels. Functions and classes are examples of tools for low-level modular programming. A python module (sometimes called library) is a file gathering a number of functions and class related to the same problem. A python module is defined in a python file (with file-ending .py), and it can be made accessible to other Python modules and programs using the **import** statement. This can be done in different way, generaly by:\n",
    "\n",
    "   a) **`from module import *`** : we get direct access to all the functions used without any prefix in the program. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from math import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['In',\n",
       " 'Out',\n",
       " '_',\n",
       " '_7',\n",
       " '_9',\n",
       " '__',\n",
       " '___',\n",
       " '__builtin__',\n",
       " '__builtins__',\n",
       " '__doc__',\n",
       " '__loader__',\n",
       " '__name__',\n",
       " '__package__',\n",
       " '__spec__',\n",
       " '_dh',\n",
       " '_i',\n",
       " '_i1',\n",
       " '_i10',\n",
       " '_i11',\n",
       " '_i12',\n",
       " '_i13',\n",
       " '_i14',\n",
       " '_i15',\n",
       " '_i16',\n",
       " '_i17',\n",
       " '_i18',\n",
       " '_i19',\n",
       " '_i2',\n",
       " '_i3',\n",
       " '_i4',\n",
       " '_i5',\n",
       " '_i6',\n",
       " '_i7',\n",
       " '_i8',\n",
       " '_i9',\n",
       " '_ih',\n",
       " '_ii',\n",
       " '_iii',\n",
       " '_oh',\n",
       " '_sh',\n",
       " 'acos',\n",
       " 'acosh',\n",
       " 'asin',\n",
       " 'asinh',\n",
       " 'atan',\n",
       " 'atan2',\n",
       " 'atanh',\n",
       " 'ceil',\n",
       " 'copysign',\n",
       " 'cos',\n",
       " 'cosh',\n",
       " 'degrees',\n",
       " 'e',\n",
       " 'erf',\n",
       " 'erfc',\n",
       " 'exit',\n",
       " 'exp',\n",
       " 'expm1',\n",
       " 'fabs',\n",
       " 'factorial',\n",
       " 'fct',\n",
       " 'floor',\n",
       " 'fmod',\n",
       " 'frexp',\n",
       " 'fsum',\n",
       " 'gamma',\n",
       " 'gcd',\n",
       " 'get_ipython',\n",
       " 'hypot',\n",
       " 'inf',\n",
       " 'isclose',\n",
       " 'isfinite',\n",
       " 'isinf',\n",
       " 'isnan',\n",
       " 'ldexp',\n",
       " 'lgamma',\n",
       " 'log',\n",
       " 'log10',\n",
       " 'log1p',\n",
       " 'log2',\n",
       " 'modf',\n",
       " 'nan',\n",
       " 'pi',\n",
       " 'pow',\n",
       " 'quit',\n",
       " 'radians',\n",
       " 'sin',\n",
       " 'sinh',\n",
       " 'somProd',\n",
       " 'sp',\n",
       " 'sqrt',\n",
       " 'tan',\n",
       " 'tanh',\n",
       " 'trunc']"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dir()    # => listing of the objects in namespace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sin(pi/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cos(pi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   b) **`from module import fct1, fct2...`** : we get access to only specified functions fct1, fct2, ..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from math import pi, sin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['In',\n",
       " 'Out',\n",
       " '_',\n",
       " '_19',\n",
       " '_20',\n",
       " '_21',\n",
       " '_7',\n",
       " '_9',\n",
       " '__',\n",
       " '___',\n",
       " '__builtin__',\n",
       " '__builtins__',\n",
       " '__doc__',\n",
       " '__loader__',\n",
       " '__name__',\n",
       " '__package__',\n",
       " '__spec__',\n",
       " '_dh',\n",
       " '_i',\n",
       " '_i1',\n",
       " '_i10',\n",
       " '_i11',\n",
       " '_i12',\n",
       " '_i13',\n",
       " '_i14',\n",
       " '_i15',\n",
       " '_i16',\n",
       " '_i17',\n",
       " '_i18',\n",
       " '_i19',\n",
       " '_i2',\n",
       " '_i20',\n",
       " '_i21',\n",
       " '_i22',\n",
       " '_i23',\n",
       " '_i3',\n",
       " '_i4',\n",
       " '_i5',\n",
       " '_i6',\n",
       " '_i7',\n",
       " '_i8',\n",
       " '_i9',\n",
       " '_ih',\n",
       " '_ii',\n",
       " '_iii',\n",
       " '_oh',\n",
       " '_sh',\n",
       " 'acos',\n",
       " 'acosh',\n",
       " 'asin',\n",
       " 'asinh',\n",
       " 'atan',\n",
       " 'atan2',\n",
       " 'atanh',\n",
       " 'ceil',\n",
       " 'copysign',\n",
       " 'cos',\n",
       " 'cosh',\n",
       " 'degrees',\n",
       " 'e',\n",
       " 'erf',\n",
       " 'erfc',\n",
       " 'exit',\n",
       " 'exp',\n",
       " 'expm1',\n",
       " 'fabs',\n",
       " 'factorial',\n",
       " 'fct',\n",
       " 'floor',\n",
       " 'fmod',\n",
       " 'frexp',\n",
       " 'fsum',\n",
       " 'gamma',\n",
       " 'gcd',\n",
       " 'get_ipython',\n",
       " 'hypot',\n",
       " 'inf',\n",
       " 'isclose',\n",
       " 'isfinite',\n",
       " 'isinf',\n",
       " 'isnan',\n",
       " 'ldexp',\n",
       " 'lgamma',\n",
       " 'log',\n",
       " 'log10',\n",
       " 'log1p',\n",
       " 'log2',\n",
       " 'modf',\n",
       " 'nan',\n",
       " 'pi',\n",
       " 'pow',\n",
       " 'quit',\n",
       " 'radians',\n",
       " 'sin',\n",
       " 'sinh',\n",
       " 'somProd',\n",
       " 'sp',\n",
       " 'sqrt',\n",
       " 'tan',\n",
       " 'tanh',\n",
       " 'trunc']"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dir()    # => Objects in namespace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sin(pi/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cos(pi) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   c) **`import module1, module2...`** : All the functions of the specified modules will be reachable, but only when prefixed with the name of the module."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['__doc__',\n",
       " '__file__',\n",
       " '__loader__',\n",
       " '__name__',\n",
       " '__package__',\n",
       " '__spec__',\n",
       " 'acos',\n",
       " 'acosh',\n",
       " 'asin',\n",
       " 'asinh',\n",
       " 'atan',\n",
       " 'atan2',\n",
       " 'atanh',\n",
       " 'ceil',\n",
       " 'copysign',\n",
       " 'cos',\n",
       " 'cosh',\n",
       " 'degrees',\n",
       " 'e',\n",
       " 'erf',\n",
       " 'erfc',\n",
       " 'exp',\n",
       " 'expm1',\n",
       " 'fabs',\n",
       " 'factorial',\n",
       " 'floor',\n",
       " 'fmod',\n",
       " 'frexp',\n",
       " 'fsum',\n",
       " 'gamma',\n",
       " 'gcd',\n",
       " 'hypot',\n",
       " 'inf',\n",
       " 'isclose',\n",
       " 'isfinite',\n",
       " 'isinf',\n",
       " 'isnan',\n",
       " 'ldexp',\n",
       " 'lgamma',\n",
       " 'log',\n",
       " 'log10',\n",
       " 'log1p',\n",
       " 'log2',\n",
       " 'modf',\n",
       " 'nan',\n",
       " 'pi',\n",
       " 'pow',\n",
       " 'radians',\n",
       " 'sin',\n",
       " 'sinh',\n",
       " 'sqrt',\n",
       " 'tan',\n",
       " 'tanh',\n",
       " 'trunc']"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# math.<tab> => Listing of the fonctions\n",
    "dir(math)         # => objects in namespace"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on module math:\n",
      "\n",
      "NAME\n",
      "    math\n",
      "\n",
      "MODULE REFERENCE\n",
      "    http://docs.python.org/3.5/library/math\n",
      "    \n",
      "    The following documentation is automatically generated from the Python\n",
      "    source files.  It may be incomplete, incorrect or include features that\n",
      "    are considered implementation detail and may vary between Python\n",
      "    implementations.  When in doubt, consult the module reference at the\n",
      "    location listed above.\n",
      "\n",
      "DESCRIPTION\n",
      "    This module is always available.  It provides access to the\n",
      "    mathematical functions defined by the C standard.\n",
      "\n",
      "FUNCTIONS\n",
      "    acos(...)\n",
      "        acos(x)\n",
      "        \n",
      "        Return the arc cosine (measured in radians) of x.\n",
      "    \n",
      "    acosh(...)\n",
      "        acosh(x)\n",
      "        \n",
      "        Return the inverse hyperbolic cosine of x.\n",
      "    \n",
      "    asin(...)\n",
      "        asin(x)\n",
      "        \n",
      "        Return the arc sine (measured in radians) of x.\n",
      "    \n",
      "    asinh(...)\n",
      "        asinh(x)\n",
      "        \n",
      "        Return the inverse hyperbolic sine of x.\n",
      "    \n",
      "    atan(...)\n",
      "        atan(x)\n",
      "        \n",
      "        Return the arc tangent (measured in radians) of x.\n",
      "    \n",
      "    atan2(...)\n",
      "        atan2(y, x)\n",
      "        \n",
      "        Return the arc tangent (measured in radians) of y/x.\n",
      "        Unlike atan(y/x), the signs of both x and y are considered.\n",
      "    \n",
      "    atanh(...)\n",
      "        atanh(x)\n",
      "        \n",
      "        Return the inverse hyperbolic tangent of x.\n",
      "    \n",
      "    ceil(...)\n",
      "        ceil(x)\n",
      "        \n",
      "        Return the ceiling of x as an int.\n",
      "        This is the smallest integral value >= x.\n",
      "    \n",
      "    copysign(...)\n",
      "        copysign(x, y)\n",
      "        \n",
      "        Return a float with the magnitude (absolute value) of x but the sign \n",
      "        of y. On platforms that support signed zeros, copysign(1.0, -0.0) \n",
      "        returns -1.0.\n",
      "    \n",
      "    cos(...)\n",
      "        cos(x)\n",
      "        \n",
      "        Return the cosine of x (measured in radians).\n",
      "    \n",
      "    cosh(...)\n",
      "        cosh(x)\n",
      "        \n",
      "        Return the hyperbolic cosine of x.\n",
      "    \n",
      "    degrees(...)\n",
      "        degrees(x)\n",
      "        \n",
      "        Convert angle x from radians to degrees.\n",
      "    \n",
      "    erf(...)\n",
      "        erf(x)\n",
      "        \n",
      "        Error function at x.\n",
      "    \n",
      "    erfc(...)\n",
      "        erfc(x)\n",
      "        \n",
      "        Complementary error function at x.\n",
      "    \n",
      "    exp(...)\n",
      "        exp(x)\n",
      "        \n",
      "        Return e raised to the power of x.\n",
      "    \n",
      "    expm1(...)\n",
      "        expm1(x)\n",
      "        \n",
      "        Return exp(x)-1.\n",
      "        This function avoids the loss of precision involved in the direct evaluation of exp(x)-1 for small x.\n",
      "    \n",
      "    fabs(...)\n",
      "        fabs(x)\n",
      "        \n",
      "        Return the absolute value of the float x.\n",
      "    \n",
      "    factorial(...)\n",
      "        factorial(x) -> Integral\n",
      "        \n",
      "        Find x!. Raise a ValueError if x is negative or non-integral.\n",
      "    \n",
      "    floor(...)\n",
      "        floor(x)\n",
      "        \n",
      "        Return the floor of x as an int.\n",
      "        This is the largest integral value <= x.\n",
      "    \n",
      "    fmod(...)\n",
      "        fmod(x, y)\n",
      "        \n",
      "        Return fmod(x, y), according to platform C.  x % y may differ.\n",
      "    \n",
      "    frexp(...)\n",
      "        frexp(x)\n",
      "        \n",
      "        Return the mantissa and exponent of x, as pair (m, e).\n",
      "        m is a float and e is an int, such that x = m * 2.**e.\n",
      "        If x is 0, m and e are both 0.  Else 0.5 <= abs(m) < 1.0.\n",
      "    \n",
      "    fsum(...)\n",
      "        fsum(iterable)\n",
      "        \n",
      "        Return an accurate floating point sum of values in the iterable.\n",
      "        Assumes IEEE-754 floating point arithmetic.\n",
      "    \n",
      "    gamma(...)\n",
      "        gamma(x)\n",
      "        \n",
      "        Gamma function at x.\n",
      "    \n",
      "    gcd(...)\n",
      "        gcd(x, y) -> int\n",
      "        greatest common divisor of x and y\n",
      "    \n",
      "    hypot(...)\n",
      "        hypot(x, y)\n",
      "        \n",
      "        Return the Euclidean distance, sqrt(x*x + y*y).\n",
      "    \n",
      "    isclose(...)\n",
      "        is_close(a, b, *, rel_tol=1e-09, abs_tol=0.0) -> bool\n",
      "        \n",
      "        Determine whether two floating point numbers are close in value.\n",
      "        \n",
      "           rel_tol\n",
      "               maximum difference for being considered \"close\", relative to the\n",
      "               magnitude of the input values\n",
      "            abs_tol\n",
      "               maximum difference for being considered \"close\", regardless of the\n",
      "               magnitude of the input values\n",
      "        \n",
      "        Return True if a is close in value to b, and False otherwise.\n",
      "        \n",
      "        For the values to be considered close, the difference between them\n",
      "        must be smaller than at least one of the tolerances.\n",
      "        \n",
      "        -inf, inf and NaN behave similarly to the IEEE 754 Standard.  That\n",
      "        is, NaN is not close to anything, even itself.  inf and -inf are\n",
      "        only close to themselves.\n",
      "    \n",
      "    isfinite(...)\n",
      "        isfinite(x) -> bool\n",
      "        \n",
      "        Return True if x is neither an infinity nor a NaN, and False otherwise.\n",
      "    \n",
      "    isinf(...)\n",
      "        isinf(x) -> bool\n",
      "        \n",
      "        Return True if x is a positive or negative infinity, and False otherwise.\n",
      "    \n",
      "    isnan(...)\n",
      "        isnan(x) -> bool\n",
      "        \n",
      "        Return True if x is a NaN (not a number), and False otherwise.\n",
      "    \n",
      "    ldexp(...)\n",
      "        ldexp(x, i)\n",
      "        \n",
      "        Return x * (2**i).\n",
      "    \n",
      "    lgamma(...)\n",
      "        lgamma(x)\n",
      "        \n",
      "        Natural logarithm of absolute value of Gamma function at x.\n",
      "    \n",
      "    log(...)\n",
      "        log(x[, base])\n",
      "        \n",
      "        Return the logarithm of x to the given base.\n",
      "        If the base not specified, returns the natural logarithm (base e) of x.\n",
      "    \n",
      "    log10(...)\n",
      "        log10(x)\n",
      "        \n",
      "        Return the base 10 logarithm of x.\n",
      "    \n",
      "    log1p(...)\n",
      "        log1p(x)\n",
      "        \n",
      "        Return the natural logarithm of 1+x (base e).\n",
      "        The result is computed in a way which is accurate for x near zero.\n",
      "    \n",
      "    log2(...)\n",
      "        log2(x)\n",
      "        \n",
      "        Return the base 2 logarithm of x.\n",
      "    \n",
      "    modf(...)\n",
      "        modf(x)\n",
      "        \n",
      "        Return the fractional and integer parts of x.  Both results carry the sign\n",
      "        of x and are floats.\n",
      "    \n",
      "    pow(...)\n",
      "        pow(x, y)\n",
      "        \n",
      "        Return x**y (x to the power of y).\n",
      "    \n",
      "    radians(...)\n",
      "        radians(x)\n",
      "        \n",
      "        Convert angle x from degrees to radians.\n",
      "    \n",
      "    sin(...)\n",
      "        sin(x)\n",
      "        \n",
      "        Return the sine of x (measured in radians).\n",
      "    \n",
      "    sinh(...)\n",
      "        sinh(x)\n",
      "        \n",
      "        Return the hyperbolic sine of x.\n",
      "    \n",
      "    sqrt(...)\n",
      "        sqrt(x)\n",
      "        \n",
      "        Return the square root of x.\n",
      "    \n",
      "    tan(...)\n",
      "        tan(x)\n",
      "        \n",
      "        Return the tangent of x (measured in radians).\n",
      "    \n",
      "    tanh(...)\n",
      "        tanh(x)\n",
      "        \n",
      "        Return the hyperbolic tangent of x.\n",
      "    \n",
      "    trunc(...)\n",
      "        trunc(x:Real) -> Integral\n",
      "        \n",
      "        Truncates x to the nearest Integral toward 0. Uses the __trunc__ magic method.\n",
      "\n",
      "DATA\n",
      "    e = 2.718281828459045\n",
      "    inf = inf\n",
      "    nan = nan\n",
      "    pi = 3.141592653589793\n",
      "\n",
      "FILE\n",
      "    /Users/hassenghalila/anaconda/lib/python3.5/lib-dynload/math.so\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(math)        # => Diplay the help of the module math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on built-in function sin in module math:\n",
      "\n",
      "sin(...)\n",
      "    sin(x)\n",
      "    \n",
      "    Return the sine of x (measured in radians).\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(math.sin)    # => Help about the specified function (sin)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.sin(math.pi/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cos(pi)           # => error (no prefixed by module)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.cos(math.pi) # with the correct prefix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "d) **`import module as nomLocal`** : toutes les fonctions du module sont accessible en les préfixant du nomLocal que l'on s'est défini"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import math as mt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# mt.<tab>  => list of the functions in the module"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['__doc__',\n",
       " '__file__',\n",
       " '__loader__',\n",
       " '__name__',\n",
       " '__package__',\n",
       " '__spec__',\n",
       " 'acos',\n",
       " 'acosh',\n",
       " 'asin',\n",
       " 'asinh',\n",
       " 'atan',\n",
       " 'atan2',\n",
       " 'atanh',\n",
       " 'ceil',\n",
       " 'copysign',\n",
       " 'cos',\n",
       " 'cosh',\n",
       " 'degrees',\n",
       " 'e',\n",
       " 'erf',\n",
       " 'erfc',\n",
       " 'exp',\n",
       " 'expm1',\n",
       " 'fabs',\n",
       " 'factorial',\n",
       " 'floor',\n",
       " 'fmod',\n",
       " 'frexp',\n",
       " 'fsum',\n",
       " 'gamma',\n",
       " 'gcd',\n",
       " 'hypot',\n",
       " 'inf',\n",
       " 'isclose',\n",
       " 'isfinite',\n",
       " 'isinf',\n",
       " 'isnan',\n",
       " 'ldexp',\n",
       " 'lgamma',\n",
       " 'log',\n",
       " 'log10',\n",
       " 'log1p',\n",
       " 'log2',\n",
       " 'modf',\n",
       " 'nan',\n",
       " 'pi',\n",
       " 'pow',\n",
       " 'radians',\n",
       " 'sin',\n",
       " 'sinh',\n",
       " 'sqrt',\n",
       " 'tan',\n",
       " 'tanh',\n",
       " 'trunc']"
      ]
     },
     "execution_count": 166,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dir(mt)           # => objects in namespace"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'mt' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-34-6b71faed2e00>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mhelp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmt\u001b[0m\u001b[0;34m)\u001b[0m          \u001b[0;31m# => Display the help of the functions\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'mt' is not defined"
     ]
    }
   ],
   "source": [
    "help(mt)          # => Display the help of the functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 168,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mt.sin(mt.pi/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 169,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.sin(math.pi/2) # => Error \"name math not defined\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0"
      ]
     },
     "execution_count": 170,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mt.cos(mt.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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