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   "source": [
    "# Insertion Sort\n",
    "© 2021, Joe James"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### using for loop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def insertion_sort1(A):\n",
    "    for i in range(1, len(A)):\n",
    "        for j in range(i-1, -1, -1):\n",
    "            if A[j] > A[j+1]:\n",
    "                A[j], A[j+1] = A[j+1], A[j]\n",
    "            else:\n",
    "                break"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### using while loop   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def insertion_sort2(A):\n",
    "    for i in range(1, len(A)):\n",
    "        j = i-1\n",
    "        while A[j] > A[j+1] and j >= 0:\n",
    "            A[j], A[j+1] = A[j+1], A[j]\n",
    "            j -= 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test Function\n",
    "Set a result flag. The j loop is used to perform 1000 test iterations. The next two lines create and shuffle list A of 100 integers. Then A is passed to our sorting function. The sorted result is compared to a sort using Python's sorted function. After 1000 iterations of the test, the result is printed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success\n",
      "Success\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "\n",
    "def test(func):\n",
    "    result = 'Success'\n",
    "    for j in range(1000):\n",
    "        A = [k for k in range(100)]\n",
    "        random.shuffle(A)\n",
    "        func(A)\n",
    "        if A != sorted(A):\n",
    "            result = 'Failed'\n",
    "    print(result)\n",
    "test(insertion_sort1)\n",
    "test(insertion_sort2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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