{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "taken-punch",
   "metadata": {},
   "outputs": [],
   "source": [
    "import copy\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "driving-booth",
   "metadata": {},
   "source": [
    "testing a recursive function builder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "permanent-training",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compose(f,g):\n",
    "    return lambda *args, **kwds: f(g(*args,**kwds))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "editorial-alliance",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 'b'] c\n"
     ]
    }
   ],
   "source": [
    "print([\"a\",\"b\"],\"c\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "isolated-headset",
   "metadata": {},
   "outputs": [],
   "source": [
    "def appnd(lst,val):\n",
    "    lst.append(val)\n",
    "    return lst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "thirty-latter",
   "metadata": {},
   "outputs": [],
   "source": [
    "def traverse_split_right(tuplists):\n",
    "    lst1,lst2 = tuplists\n",
    "    lst1.append(lst2.pop(0))\n",
    "    return (lst1,lst2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "oriented-context",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(['a', 'b'], ['c'])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "traverse_split_right(([\"a\"],[\"b\",\"c\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "unsigned-settlement",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(['a', 'b', 'c'], ['d', 'e', 'f'])\n",
      "(['a', 'b', 'c', 'd', 'e'], ['f'])\n"
     ]
    }
   ],
   "source": [
    "args = (\n",
    "        [\"a\",\"b\",\"c\"],\n",
    "        [\"d\",\"e\",\"f\"]\n",
    "        )\n",
    "print(args)\n",
    "\n",
    "flist = [traverse_split_right,traverse_split_right,print]\n",
    "rflist = list(reversed(flist))\n",
    "\n",
    "co = compose(rflist[0],compose(rflist[1],rflist[2]))\n",
    "\n",
    "co(args)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "satellite-sacrifice",
   "metadata": {},
   "outputs": [],
   "source": [
    "flist = [traverse_split_right,traverse_split_right,traverse_split_right]\n",
    "\n",
    "out_func = None\n",
    "out_func_list =[]\n",
    "\n",
    "for f in itertools.repeat(traverse_split_right,3):\n",
    "    if out_func == None:\n",
    "        out_func = f\n",
    "    else:\n",
    "        out_func = compose(f,out_func)\n",
    "    \n",
    "    out_func_list.append(out_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "certified-track",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(['a'], ['b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b'], ['c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b', 'c'], ['d', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b', 'c', 'd'], ['e', 'f', 'g', 'h', 'i', 'j'])\n"
     ]
    }
   ],
   "source": [
    "#test the list\n",
    "args = (\n",
    "        [\"a\"],\n",
    "        [\"b\",\"c\",\"d\",\"e\",\"f\",\"g\",\"h\",\"i\",\"j\"]\n",
    "        )\n",
    "print(args)\n",
    "\n",
    "for fn in out_func_list:\n",
    "    #reset the data each time\n",
    "    a = copy.deepcopy(args)\n",
    "    print(fn(a))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "interesting-moral",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(['a'], ['b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b'], ['c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b'], ['c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b'], ['c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n",
      "(['a', 'b'], ['c', 'd', 'e', 'f', 'g', 'h', 'i', 'j'])\n"
     ]
    }
   ],
   "source": [
    "#test a non-composed list of functions\n",
    "args = (\n",
    "        [\"a\"],\n",
    "        [\"b\",\"c\",\"d\",\"e\",\"f\",\"g\",\"h\",\"i\",\"j\"]\n",
    "        )\n",
    "print(args)\n",
    "for fn in itertools.repeat(traverse_split_right,4):\n",
    "    #Reset the data each time\n",
    "    a = copy.deepcopy(args)\n",
    "    \n",
    "    print(fn(a))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "incorrect-migration",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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