HigherOrderFunctions.ipynb

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     "start_time": "2023-10-30T11:50:21.937774500Z"
    }
   },
   "outputs": [],
   "source": [
    "def add(a, b):\n",
    "    return a + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [],
   "source": [
    "def greet(name):\n",
    "    return f'Hello, {name}'\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T11:52:26.369711600Z",
     "start_time": "2023-10-30T11:52:26.364737800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [],
   "source": [
    "def apply(func, *args):\n",
    "    result = func(*args)\n",
    "    return result"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T11:52:26.817459800Z",
     "start_time": "2023-10-30T11:52:26.810459400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [
    {
     "data": {
      "text/plain": "6"
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "apply(add, 2, 4)"
   ],
   "metadata": {
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    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [
    {
     "data": {
      "text/plain": "'Hello, Andreas'"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "apply(greet, 'Andreas')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T11:52:27.900121100Z",
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  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [
    {
     "data": {
      "text/plain": "60"
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "apply(lambda a, b, c: a + b + c, 10, 20, 30)"
   ],
   "metadata": {
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    "ExecuteTime": {
     "end_time": "2023-10-30T11:53:31.544032Z",
     "start_time": "2023-10-30T11:53:31.522393300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [],
   "source": [
    "def mult(a, b):\n",
    "    return a * b"
   ],
   "metadata": {
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     "end_time": "2023-10-30T11:53:49.391273900Z",
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   }
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "outputs": [],
   "source": [
    "def power(a, b):\n",
    "    return a ** b"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T11:54:05.763037700Z",
     "start_time": "2023-10-30T11:54:05.759042100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "outputs": [],
   "source": [
    "def choose_operator(name):\n",
    "    if name == 'add':\n",
    "        return add\n",
    "    if name == 'mult':\n",
    "        return mult\n",
    "    if name == 'power':\n",
    "        return power\n"
   ],
   "metadata": {
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     "end_time": "2023-10-30T11:55:11.483293700Z",
     "start_time": "2023-10-30T11:55:11.450138800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "outputs": [
    {
     "data": {
      "text/plain": "6"
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "op = choose_operator('mult')\n",
    "op(2, 3)"
   ],
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     "end_time": "2023-10-30T11:57:53.248598700Z",
     "start_time": "2023-10-30T11:57:53.227464800Z"
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  {
   "cell_type": "code",
   "execution_count": 27,
   "outputs": [
    {
     "data": {
      "text/plain": "5"
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def choose_operator(name):\n",
    "    if name == 'add':\n",
    "        return lambda a, b: a + b\n",
    "    if name == 'mult':\n",
    "        return lambda a, b: a * b\n",
    "    if name == 'power':\n",
    "        return lambda a, b: a ** b\n",
    "\n",
    "\n",
    "op = choose_operator('add')\n",
    "op(2, 3)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:01:41.876376500Z",
     "start_time": "2023-10-30T12:01:41.865813200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "outputs": [
    {
     "data": {
      "text/plain": "8"
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "op = choose_operator('power')\n",
    "op(2, 3)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:02:07.265745500Z",
     "start_time": "2023-10-30T12:02:07.234666Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "outputs": [
    {
     "data": {
      "text/plain": "8"
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "choose_operator('power')(2, 3)"
   ],
   "metadata": {
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     "end_time": "2023-10-30T12:02:39.718991700Z",
     "start_time": "2023-10-30T12:02:39.704983100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "outputs": [
    {
     "data": {
      "text/plain": "<function __main__.choose_operator.<locals>.<lambda>(a, b)>"
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "op"
   ],
   "metadata": {
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     "end_time": "2023-10-30T12:03:03.224222700Z",
     "start_time": "2023-10-30T12:03:03.210226700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "outputs": [],
   "source": [
    "def in_list(l, element):\n",
    "    return element in l\n",
    "\n",
    "\n",
    "def in_tuple(t, element):\n",
    "    return element in t\n",
    "\n",
    "\n",
    "def in_set(s, element):\n",
    "    return element in s\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:04:45.550330900Z",
     "start_time": "2023-10-30T12:04:45.536325100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "outputs": [],
   "source": [
    "from time import perf_counter"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:05:18.826757900Z",
     "start_time": "2023-10-30T12:05:18.809720800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "outputs": [],
   "source": [
    "n = 10_000_000\n",
    "l = list(range(n))\n",
    "t = tuple(range(n))\n",
    "s = set(range(n))\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:09:31.506501600Z",
     "start_time": "2023-10-30T12:09:30.532341200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "outputs": [],
   "source": [
    "x = 5_000_000\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:09:31.522500500Z",
     "start_time": "2023-10-30T12:09:31.508501500Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.04857440000000679\n"
     ]
    }
   ],
   "source": [
    "start = perf_counter()\n",
    "in_list(l, x)\n",
    "print(perf_counter() - start)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:09:31.583500Z",
     "start_time": "2023-10-30T12:09:31.573501400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.03926849999993465\n"
     ]
    }
   ],
   "source": [
    "start = perf_counter()\n",
    "in_tuple(t, x)\n",
    "print(perf_counter() - start)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:09:31.913647300Z",
     "start_time": "2023-10-30T12:09:31.867643200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.800000008093775e-05\n"
     ]
    }
   ],
   "source": [
    "start = perf_counter()\n",
    "in_set(s, x)\n",
    "print(perf_counter() - start)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:09:32.502357700Z",
     "start_time": "2023-10-30T12:09:32.492312900Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "outputs": [],
   "source": [
    "def time_it(func, *args):\n",
    "    start = perf_counter()\n",
    "    result = func(*args)\n",
    "    end = perf_counter()\n",
    "    print(f'Elapsed: {end - start}')\n",
    "    return result\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:11:26.149973Z",
     "start_time": "2023-10-30T12:11:26.122675Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed: 0.05868159999999989\n"
     ]
    },
    {
     "data": {
      "text/plain": "True"
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_it(in_list, l, x)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:12:01.052910100Z",
     "start_time": "2023-10-30T12:12:00.984916800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed: 1.2000000424450263e-06\n"
     ]
    },
    {
     "data": {
      "text/plain": "True"
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_it(in_set, s, x)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:12:27.537025100Z",
     "start_time": "2023-10-30T12:12:27.484995500Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed: 0.05861640000011903\n"
     ]
    },
    {
     "data": {
      "text/plain": "True"
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_it(in_tuple, t, x)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:13:07.698940600Z",
     "start_time": "2023-10-30T12:13:07.641261700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "outputs": [],
   "source": [
    "data = ['a', 'ab', 'abc', 'abcd']"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:14:27.348733300Z",
     "start_time": "2023-10-30T12:14:27.289733700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "outputs": [],
   "source": [
    "lengths = [len(element) for element in data]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:14:56.516373100Z",
     "start_time": "2023-10-30T12:14:56.479023Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "outputs": [
    {
     "data": {
      "text/plain": "[1, 2, 3, 4]"
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lengths"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:14:59.324584200Z",
     "start_time": "2023-10-30T12:14:59.306579100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "outputs": [],
   "source": [
    "lengths = map(len, data)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:16:21.813709200Z",
     "start_time": "2023-10-30T12:16:21.798710700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "outputs": [
    {
     "ename": "StopIteration",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001B[1;31m---------------------------------------------------------------------------\u001B[0m",
      "\u001B[1;31mStopIteration\u001B[0m                             Traceback (most recent call last)",
      "\u001B[1;32m~\\AppData\\Local\\Temp\\ipykernel_76676\\1653172701.py\u001B[0m in \u001B[0;36m<module>\u001B[1;34m\u001B[0m\n\u001B[1;32m----> 1\u001B[1;33m \u001B[0mnext\u001B[0m\u001B[1;33m(\u001B[0m\u001B[0mlengths\u001B[0m\u001B[1;33m)\u001B[0m\u001B[1;33m\u001B[0m\u001B[1;33m\u001B[0m\u001B[0m\n\u001B[0m",
      "\u001B[1;31mStopIteration\u001B[0m: "
     ]
    }
   ],
   "source": [
    "next(lengths)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:16:10.848924400Z",
     "start_time": "2023-10-30T12:16:10.836361300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "outputs": [
    {
     "data": {
      "text/plain": "[]"
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(lengths)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:16:39.081437600Z",
     "start_time": "2023-10-30T12:16:39.065425400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "outputs": [],
   "source": [
    "d = dict(a=100, b=200)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:17:39.292283900Z",
     "start_time": "2023-10-30T12:17:39.272649600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "outputs": [
    {
     "data": {
      "text/plain": "{'a': 100, 'b': 200}"
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:17:40.557122900Z",
     "start_time": "2023-10-30T12:17:40.528324200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "outputs": [
    {
     "data": {
      "text/plain": "200"
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d['b']"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:17:56.006187Z",
     "start_time": "2023-10-30T12:17:55.991181800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "outputs": [],
   "source": [
    "d['c'] = 300"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:18:12.618811600Z",
     "start_time": "2023-10-30T12:18:12.595811400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "outputs": [
    {
     "data": {
      "text/plain": "{'a': 100, 'b': 200, 'c': 300}"
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d"
   ],
   "metadata": {
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    "ExecuteTime": {
     "end_time": "2023-10-30T12:18:17.506793700Z",
     "start_time": "2023-10-30T12:18:17.465296900Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "outputs": [],
   "source": [
    "def outer(a, b):\n",
    "    sum_ = a + b\n",
    "\n",
    "    def inner():\n",
    "        prod = a * b\n",
    "        print((a, b, sum_, prod))\n",
    "        return \"you just called a closure\"\n",
    "\n",
    "    return inner"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:24:10.774828500Z",
     "start_time": "2023-10-30T12:24:10.764826700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "outputs": [],
   "source": [
    "func = outer(2, 3)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:24:11.138202300Z",
     "start_time": "2023-10-30T12:24:11.127213Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 3, 5, 6)\n"
     ]
    },
    {
     "data": {
      "text/plain": "'you just called a closure'"
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "func()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:24:07.911806500Z",
     "start_time": "2023-10-30T12:24:07.891807100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 3, 5, 6)\n"
     ]
    }
   ],
   "source": [
    "prod = func()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:24:13.010836800Z",
     "start_time": "2023-10-30T12:24:13.000821100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "outputs": [
    {
     "data": {
      "text/plain": "'you just called a closure'"
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prod"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:24:14.007714800Z",
     "start_time": "2023-10-30T12:24:13.994705Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "outputs": [],
   "source": [
    "func = outer(2, 3)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:35:33.903955600Z",
     "start_time": "2023-10-30T12:35:33.886955300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "outputs": [
    {
     "data": {
      "text/plain": "<function __main__.outer.<locals>.inner()>"
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "func"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:35:37.150593900Z",
     "start_time": "2023-10-30T12:35:37.124594900Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 3, 5, 6)\n"
     ]
    }
   ],
   "source": [
    "prod = func()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:35:49.645016200Z",
     "start_time": "2023-10-30T12:35:49.611096400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "outputs": [
    {
     "data": {
      "text/plain": "'you just called a closure'"
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prod"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:35:56.090128500Z",
     "start_time": "2023-10-30T12:35:56.072090200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "outputs": [
    {
     "data": {
      "text/plain": "(<cell at 0x000001E245FEB700: int object at 0x000001E240F96950>,\n <cell at 0x000001E245FEB0A0: int object at 0x000001E240F96970>,\n <cell at 0x000001E245FEB8E0: int object at 0x000001E240F969B0>)"
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "func.__closure__"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:36:44.728111400Z",
     "start_time": "2023-10-30T12:36:44.710091600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "outputs": [],
   "source": [
    "def outer(a, b):\n",
    "    def inner(c):\n",
    "        return c ** 2\n",
    "\n",
    "    return inner"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:38:22.248985400Z",
     "start_time": "2023-10-30T12:38:22.229984600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "outputs": [],
   "source": [
    "func = outer(1, 2)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:38:46.520989600Z",
     "start_time": "2023-10-30T12:38:46.487315Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "outputs": [],
   "source": [
    "func.__closure__"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:38:57.476871600Z",
     "start_time": "2023-10-30T12:38:57.456886300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "outputs": [],
   "source": [
    "def power(n):\n",
    "    def inner(x):\n",
    "        return x ** n\n",
    "\n",
    "    return inner"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:45:18.195478Z",
     "start_time": "2023-10-30T12:45:18.178477200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "outputs": [],
   "source": [
    "square = power(2)\n",
    "cube = power(3)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:45:18.781392900Z",
     "start_time": "2023-10-30T12:45:18.767391200Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "outputs": [
    {
     "data": {
      "text/plain": "16"
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "square(4)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:45:19.295032600Z",
     "start_time": "2023-10-30T12:45:19.282022500Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "outputs": [
    {
     "data": {
      "text/plain": "27"
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cube(3)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T12:45:20.287635600Z",
     "start_time": "2023-10-30T12:45:20.274513100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "outputs": [],
   "source": [
    "def execute(func):\n",
    "    def inner(a, b):\n",
    "        result = func(a, b)\n",
    "        return result\n",
    "\n",
    "    return inner"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:01:12.336430800Z",
     "start_time": "2023-10-30T13:01:12.318409300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "outputs": [],
   "source": [
    "def add(a, b):\n",
    "    print('running at ...')\n",
    "    return a + b"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:01:13.013344500Z",
     "start_time": "2023-10-30T13:01:13.007339800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "outputs": [],
   "source": [
    "add_executor = execute(add)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:01:13.657610400Z",
     "start_time": "2023-10-30T13:01:13.629243800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running at ...\n"
     ]
    },
    {
     "data": {
      "text/plain": "5"
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "add_executor(2, 3)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:01:14.272021100Z",
     "start_time": "2023-10-30T13:01:14.207817300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "outputs": [],
   "source": [
    "def execute(func):\n",
    "    def inner(*args, **kwargs):\n",
    "        result = func(*args, **kwargs)\n",
    "        return result\n",
    "\n",
    "    return inner"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:02:47.518226700Z",
     "start_time": "2023-10-30T13:02:47.480898100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "outputs": [],
   "source": [
    "def add(a, b, c):\n",
    "    print('running add...')\n",
    "    return a + b + c\n",
    "\n",
    "\n",
    "def say_hello(name, *, formal=True):\n",
    "    print('say_hello...')\n",
    "    if formal:\n",
    "        return f'Pleased to meet you, {name}'\n",
    "    else:\n",
    "        return f'Hi, {name}'"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:06:51.647360600Z",
     "start_time": "2023-10-30T13:06:51.619657900Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "outputs": [],
   "source": [
    "exec_add = execute(add)\n",
    "exec_greet = execute(say_hello)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:10:23.288104700Z",
     "start_time": "2023-10-30T13:10:23.273065700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running add...\n",
      "say_hello...\n"
     ]
    },
    {
     "data": {
      "text/plain": "'Pleased to meet you, Andreas'"
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "add_executor(4, 5, 6)\n",
    "greet_executor('Andreas')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:10:23.891696600Z",
     "start_time": "2023-10-30T13:10:23.862277100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "say_hello...\n"
     ]
    },
    {
     "data": {
      "text/plain": "'Hi, Michael'"
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exec_greet('Michael', formal=False)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:10:25.131226500Z",
     "start_time": "2023-10-30T13:10:25.071193600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "outputs": [],
   "source": [
    "def factorial(n):\n",
    "    prod = 1\n",
    "    for i in range(2, n + 1):\n",
    "        prod = prod * i\n",
    "    return prod"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:12:08.875786600Z",
     "start_time": "2023-10-30T13:12:08.839355700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "outputs": [],
   "source": [
    "def diagonal_matrix(rows, cols, *, diagonal=1):\n",
    "    return [\n",
    "        [\n",
    "            diagonal if row == col else 0\n",
    "            for col in range(cols)\n",
    "        ]\n",
    "        for row in range(rows)\n",
    "    ]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:15:36.709692100Z",
     "start_time": "2023-10-30T13:15:36.693654100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "outputs": [
    {
     "data": {
      "text/plain": "24"
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "factorial(4)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:27:54.824520200Z",
     "start_time": "2023-10-30T13:27:54.816496Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "outputs": [
    {
     "data": {
      "text/plain": "[[1, 0, 0], [0, 1, 0], [0, 0, 1]]"
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diagonal_matrix(3, 3, diagonal=1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:27:55.463807600Z",
     "start_time": "2023-10-30T13:27:55.438770600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "outputs": [],
   "source": [
    "from time import perf_counter"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:27:56.052856800Z",
     "start_time": "2023-10-30T13:27:56.044218600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed: 0.020375899999635294\n",
      "Result: 28462596809170545189064132121198688901480514017027992307941799942744113400037644437729907867577847758158840621423175288300423399401535187390524211613827161748198241998275924182892597878981242531205946599625986706560161572036032397926328736717055741975962099479720346153698119897092611277500484198845410475544642442136573303076703628825803548967461117097369578603670191071512730587281041158640561281165385325968425825995584688146430425589836649317059251717204276597407446133400054194052462303436869154059404066227828248371512038322178644627183822923899638992827221879702459387693803094627332292570555459690027875282242544348021127559019169425429028916907219097083690539873747452483372899521802363282741217040268086769210451555840567172555372015852132829034279989818449313610640381489304499621599999359670892980190336998484404665419236258424947163178961192041233108268651071354516845540936033009607210346944377982349430780626069422302681885227592057029230843126188497606560742586279448827155956831533440534425446648416894580425709461673613187605234982286326452921529423479870603344290737158688499178932580691483168854251956006172372636323974420786924642956012306288720122652952964091508301336630982733806353972901506581822574295475894399765113865541208125788683704239208764484761569001264889271590706306409661628038784044485191643790807186112370622133415415065991843875961023926713276546986163657706626438638029848051952769536195259240930908614471907390768585755934786981720734372093104825475628567777694081564074962275254993384112809289637516990219870492405617531786346939798024619737079041868329931016554150742308393176878366923694849025999607729684293977427536263119825416681531891763234839190821000147178932184227805135181734921901146246875769835373441456013122615221391178759688367364087207937002992038279198038702372078039140312368997608152840306051116709484722224870389199993442071395836983063962232079115624044250808919914319837120445598344047556759489212101498152454543594285414390843564419984224855478532163624030098442855331829253154206551237079705816393460296247697010388742206441536626733715428700789122749340684336442889847100840641600093623935261248037975293343928764398316390312776450722479267851700826669598389526150759007349215197592659192708873202594066382118801988854748266048342256457705743973122259700671936061763513579529821794290797705327283267501488024443528681645026165662837546519006171873442260438919298506071515390031106684727360135816706437861756757439184376479658136100599638689552334648781746143243573224864326798481981458432703035895508420534788493364582482592033288089025782388233265770205248970937047210214248413342465268206806732314214483854074182139621846870108359582946965235632764870475718351616879235068366271743711915723361143070121120767608697851559721846485985918643641716850899625516820910793570231118518174775010804622585521314764897490660752877082897667514951009682329689732000622392888056658036140311285465929084078033974900664953205873164948093883816198658850827382468034897864757116679890423568018303504133875731972630897909435710687797301633918087868474943633533893373586906405848417828065196275826434429258058422212947649402948622670761832988229004072390403733168207417413251656688443079339447019208905620788387585342512820957359307018197708340163817638278562539516825426644614941044711579533262372815468794080423718587423026200264221822694188626212107297776657401018376182280136857586442185863011539843712299107010094061929413223202773193959467006713695377097897778118288242442920864816134179562017471831609687661043140497958198236445807368209404022211181530051433387076607063149616107771117448059552764348333385744040212757031851527298377435921878558552795591028664457917362007221858143309977294778923720717942857756271300923982397921957581197264742642878266682353915687857271620146192244266266708400765665625807109474398740110772811669918806268726626565583345665007890309050656074633078027158530817691223772813510584527326591626219647620571434880215630815259005343721141000303039242866457207328473481712034168186328968865048287367933398443971236735084527340196309427697652684170174990756947982757825835229994315633322107439131550124459005324702680312912392297979030417587823398622373535054642646913502503951009239286585108682088070662734733200354995720397086488066040929854607006339409885836349865466136727880748764700702458790118046518296111277090609016152022111461543158317669957060974618085359390400067892878548827850938637353703904049412684618991272871562655001270833039950257879931705431882752659225814948950746639976007316927310831735883056612614782997663188070063044632429112260691931278881566221591523270457695867512821990938942686601963904489718918597472925310322480210543841044325828472830584297804162405108110326914001900568784396341502696521048920272140232160234898588827371428695339681755106287470907473718188014223487248498558198439094651708364368994306189650243288353279667190184527620551085707626204244509623323204744707831190434499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000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\n"
     ]
    }
   ],
   "source": [
    "tart = perf_counter()\n",
    "result = factorial(10_000)\n",
    "end = perf_counter()\n",
    "print(f'Elapsed: {end - start}')\n",
    "print(f'Result: {result}')\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:27:56.734709Z",
     "start_time": "2023-10-30T13:27:56.678442600Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "outputs": [],
   "source": [
    "def time_it(func, *args, **kwargs):\n",
    "    start = perf_counter()\n",
    "    result = func(*args, **kwargs)\n",
    "    end = perf_counter()\n",
    "    print(f'Elapsed:{end - start}')\n",
    "    return result\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:31:32.883954800Z",
     "start_time": "2023-10-30T13:31:32.871520900Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed:0.020270699999855424\n"
     ]
    },
    {
     "data": {
      "text/plain": 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     },
     "execution_count": 162,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_it(factorial, 10_000)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:31:57.239314800Z",
     "start_time": "2023-10-30T13:31:57.198061500Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed:1.7400000615452882e-05\n"
     ]
    }
   ],
   "source": [
    "result = time_it(diagonal_matrix, 10, 10, diagonal=1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:32:39.475683200Z",
     "start_time": "2023-10-30T13:32:39.424139800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "outputs": [
    {
     "data": {
      "text/plain": "[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n [0, 1, 0, 0, 0, 0, 0, 0, 0, 0],\n [0, 0, 1, 0, 0, 0, 0, 0, 0, 0],\n [0, 0, 0, 1, 0, 0, 0, 0, 0, 0],\n [0, 0, 0, 0, 1, 0, 0, 0, 0, 0],\n [0, 0, 0, 0, 0, 1, 0, 0, 0, 0],\n [0, 0, 0, 0, 0, 0, 1, 0, 0, 0],\n [0, 0, 0, 0, 0, 0, 0, 1, 0, 0],\n [0, 0, 0, 0, 0, 0, 0, 0, 1, 0],\n [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]]"
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:32:45.636647600Z",
     "start_time": "2023-10-30T13:32:45.575596700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "outputs": [],
   "source": [
    "def time_it(func):\n",
    "    def inner(*args, **kwargs):\n",
    "        start = perf_counter()\n",
    "        result = func(*args, **kwargs)\n",
    "        end = perf_counter()\n",
    "        print(f'Elapsed:{end - start}')\n",
    "        return result\n",
    "    return inner"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:36:18.559768Z",
     "start_time": "2023-10-30T13:36:18.543909400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "outputs": [],
   "source": [
    "time_fact = time_it(factorial)\n",
    "time_diagonal = time_it(diagonal_matrix)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:37:15.179008900Z",
     "start_time": "2023-10-30T13:37:15.142184400Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed:0.020212899999933143\n"
     ]
    }
   ],
   "source": [
    "result = time_fact(10_000)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:37:35.527262100Z",
     "start_time": "2023-10-30T13:37:35.488262Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed:2.100000529026147e-06\n"
     ]
    }
   ],
   "source": [
    "result = time_fact(5)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:38:23.141975400Z",
     "start_time": "2023-10-30T13:38:23.122712100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed:1.2999999853491317e-05\n"
     ]
    }
   ],
   "source": [
    "result = time_diagonal(10,10, diagonal=-1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:39:02.870053300Z",
     "start_time": "2023-10-30T13:39:02.805894800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "outputs": [],
   "source": [
    "import math\n",
    "def func(point):\n",
    "    x,y = point\n",
    "    return math.hypot(x,y)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:54:41.389877600Z",
     "start_time": "2023-10-30T13:54:41.372843800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "outputs": [],
   "source": [
    "points = [\n",
    "    (0,0),\n",
    "    (1,1),\n",
    "    (10,20),\n",
    "    (math.pi, math.e)\n",
    "]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T13:54:41.734849900Z",
     "start_time": "2023-10-30T13:54:41.724845500Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "outputs": [],
   "source": [
    "def calc_loop(f,pts):\n",
    "    l = []\n",
    "    for point in pts:\n",
    "        l.append(f(point))\n",
    "    return l"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:05:37.459721100Z",
     "start_time": "2023-10-30T14:05:37.417585300Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "outputs": [
    {
     "data": {
      "text/plain": "[0.0, 1.4142135623730951, 22.360679774997898, 4.154354402313314]"
     },
     "execution_count": 203,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "l"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:03:14.157411900Z",
     "start_time": "2023-10-30T14:03:14.128781800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "outputs": [],
   "source": [
    "def calc_comp(f,pts):\n",
    "    result = [f(point) for point in pts]\n",
    "    return result"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:06:54.358987300Z",
     "start_time": "2023-10-30T14:06:54.340872800Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "outputs": [],
   "source": [
    "def calc_map(f,pts):\n",
    "    l = list(map(func, points))\n",
    "    return l"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:07:19.431730100Z",
     "start_time": "2023-10-30T14:07:19.414169700Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "outputs": [
    {
     "data": {
      "text/plain": "[0.0, 1.4142135623730951, 22.360679774997898, 4.154354402313314]"
     },
     "execution_count": 211,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calc_loop(func,points)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:08:07.876127900Z",
     "start_time": "2023-10-30T14:08:07.854251100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "outputs": [
    {
     "data": {
      "text/plain": "[0.0, 1.4142135623730951, 22.360679774997898, 4.154354402313314]"
     },
     "execution_count": 212,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calc_comp(func,points)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:08:19.511672500Z",
     "start_time": "2023-10-30T14:08:19.424772100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "outputs": [
    {
     "data": {
      "text/plain": "[0.0, 1.4142135623730951, 22.360679774997898, 4.154354402313314]"
     },
     "execution_count": 213,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calc_map(func,points)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:08:30.660860700Z",
     "start_time": "2023-10-30T14:08:30.613813900Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "outputs": [
    {
     "data": {
      "text/plain": "1.897263799999564"
     },
     "execution_count": 214,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from timeit import timeit\n",
    "points_large = [(math.sin(x), math.cos(x)) for x in range(1, 1_000_000)]\n",
    "timeit('calc_loop(func,points_large)',globals=globals(), number=10)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:11:10.297701600Z",
     "start_time": "2023-10-30T14:11:07.771955500Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "outputs": [
    {
     "data": {
      "text/plain": "1.7214152999986254"
     },
     "execution_count": 215,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "timeit('calc_comp(func,points_large)',globals=globals(), number=10)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:11:58.046224200Z",
     "start_time": "2023-10-30T14:11:56.349300100Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "outputs": [
    {
     "data": {
      "text/plain": "1.5999999959603883e-05"
     },
     "execution_count": 216,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "timeit('calc_map(func,points_large)',globals=globals(), number=10)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-10-30T14:12:10.868742100Z",
     "start_time": "2023-10-30T14:12:10.810347Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
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