JuliaStudyGroup.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Julia study group\n",
    "Feel free to play around with these files as much as you need. If you find something nice, you can add it as well.\n",
    "\n",
    "All other information is in the readme file."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Julia basics\n",
    "A first general impression is that Julia is less typing friendly (difficult characters) but does have some nice short hand notations as well.\n",
    "\n",
    "Julia has the same shallow copy shenanigans (just try copying dictionaries and nested dictionaries, I dare you, I double dare you).\n",
    "\n",
    "Julia seems to be a bit difficult about reusing variables and functions (which might be safer actually). Although it is possible to define a function multiple times which is particularly usefull in case of different input types.\n",
    "\n",
    "An important resource is the Julia Documentation: https://docs.julialang.org/en/v1/\n",
    "For Python-experienced users, an interesting part is the differences between the two languages: https://docs.julialang.org/en/v1/manual/noteworthy-differences/#Noteworthy-differences-from-Python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Values\n",
    "\n",
    "None in Python is replaced by nothing in Julia."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Strings\n",
    "You have to use \"\", you can't use ''.\n",
    "\n",
    "In julia you can concatenate strings with string(). It is also possible to use * (as opposed to + in Python) but it might look weird for people who look at your code.\n",
    "\n",
    "In Julia it is easy to add variables in a string by using $\n",
    "\n",
    "In Python that is less clean:\n",
    "\n",
    "my_var = 5\n",
    "\n",
    "print(f\"The value of my_var is {my_var}.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"one two\""
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "concat1=\"one\"\n",
    "concat2=\"two\"\n",
    "concatstr=concat1*\" \"*concat2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the next letter is a or the next letter is a\n",
      "the next letter is b or the next letter is b\n",
      "the next letter is c or the next letter is c\n"
     ]
    }
   ],
   "source": [
    "abc=[\"a\",\"b\",\"c\"]\n",
    "for letter in abc\n",
    "    print(\"the next letter is $letter\")\n",
    "    println(string(\" or \",\"the next letter is \",letter))\n",
    "end"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "'' is used to automatically create strings or symbols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Vector{String}:\n",
       " \"a\"\n",
       " \"b\"\n",
       " \"c\"\n",
       " \"d\"\n",
       " \"e\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "string.('a':'e')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Special characters are added by means of the backslash. That can also be used for quotes in strings (\\\" instead of something like ' ). That also means that the backslash itself needs a backslash (\\\\ instead of \\). The same does not hold for forwardslash.\n",
    "\n",
    "advanced: you can also use rawstring to avoid the use of \\ [insert link here]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a \"quote\" in a string"
     ]
    }
   ],
   "source": [
    "stringaling=\"this is a \\\"quote\\\" in a string\"\n",
    "print(stringaling)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dictionaries\n",
    "Dictionaries cannot be created with {}\n",
    "\n",
    "use pop!(dict,key) similar to dict.pop(key) in Python"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dict{Any, Any}(\"hp\" => 7)\n",
      "\n",
      "7\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Dict{Any, Any}()"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "books=Dict()\n",
    "books[\"hp\"]=7\n",
    "println(books,\"\\n\")\n",
    "p=pop!(books,\"hp\")\n",
    "println(p)\n",
    "books"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{String, Int64} with 3 entries:\n",
       "  \"jommeke van herge denk ik\"    => 150\n",
       "  \"RIP van te lui om te checken\" => 4\n",
       "  \"alleen van geen idee\"         => 12"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stripboeken=[\"jommeke\",\"alleen\",\"RIP\"]\n",
    "stripvolumes=[150,12,4]\n",
    "stripauteurs=[\"herge denk ik\",\"geen idee\",\"te lui om te checken\"]\n",
    "stripcitaat=stripboeken.*\" van \".*stripauteurs\n",
    "strips=Dict(stripcitaat .=> stripvolumes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Arrays"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Julia is one indexed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4×2 Matrix{Float64}:\n",
       " 0.0  1.0\n",
       " 2.0  3.0\n",
       " 2.0  6.0\n",
       " 4.0  8.0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A=rand(4,2)\n",
    "B=zeros(4,2)\n",
    "for i in 1:4, j in 1:2\n",
    "    B[i,j]=i*j\n",
    "end\n",
    "B=[i*j for i in 1:4, j in 1:2]\n",
    "C=round.(B-A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## print\n",
    "You can just use print but apparently you typically use println. At least in Jupyter, print doesn't automatically add \"\\n\" at the end while println does."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ab\n",
      "a\n",
      "b\n"
     ]
    }
   ],
   "source": [
    "# single line comment\n",
    "#=\n",
    "multi line comment\n",
    "=#\n",
    "print(\"a\")\n",
    "print(\"b\",\"\\n\")\n",
    "println(\"a\")\n",
    "println(\"b\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conditions\n",
    "if/elseif/else is similar to loops; remove the \":\" and add the \"end\" at the very end\n",
    "\n",
    "a ? b : c equals to if a then b else c\n",
    "\n",
    "&& is used for and but does not continue if the first argument is already false\n",
    "\n",
    "true and false are with lower case letters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 is bigger than 4\n"
     ]
    }
   ],
   "source": [
    "4>5 && println(\"4 is bigger than 5\")\n",
    "5>4 && println(\"5 is bigger than 4\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Julia is a little bit more strict on its types than python; you cannot use nothing and int/float as booleans, you need to be more specific by checking the types."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "thanks for your contribution\n"
     ]
    }
   ],
   "source": [
    "thanksfor=\"your contribution\"#nothing\n",
    "\n",
    "if thanksfor != nothing\n",
    "    println(\"thanks for \",thanksfor)\n",
    "else\n",
    "    print(\"thanks for nothing\")\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7142857142857143"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ni=5\n",
    "nitarget=7\n",
    "ti=16\n",
    "titarget=NaN\n",
    "\n",
    "firatios=(!isnan(nitarget) ? ni/nitarget : 0.0, !isnan(titarget) ? ti/titarget : 0.0)\n",
    "finish=maximum(firatios)#use findmax to also get the index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In python you can use check for None; it automatically converts to a boolean. In Julia you need to be more explicit. You can check for nothing."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## loops\n",
    "for i in range(1,10):\n",
    "\n",
    "becomes\n",
    "\n",
    "for i in 1:10\n",
    "\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12345678910"
     ]
    }
   ],
   "source": [
    "for i in 1:10\n",
    "    print(i)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## functions\n",
    "also similar to loops (no \":\" but \"end\" at the end)\n",
    "\n",
    "! is used to alter the original list (example sort() vs sort!())\n",
    "\n",
    ". is used to use the function on multiple elements (example round.(A))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the next letter is d or the next letter is d\n",
      "the next letter is e or the next letter is e\n",
      "the next letter is f or the next letter is f\n"
     ]
    }
   ],
   "source": [
    "function xyz(abc)\n",
    "    for letter in abc\n",
    "        print(\"the next letter is $letter\")\n",
    "        println(string(\" or \",\"the next letter is \",letter))\n",
    "    end\n",
    "end\n",
    "xyz([\"d\",\"e\",\"f\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y(x)=x^2\n",
    "y(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "27"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f=x->x^3\n",
    "f(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This is the sorted array b=[1, 4, 5]\n",
      "But the original a remains unharmed a=[1, 5, 4]\n",
      "Unless you use ! a=[1, 4, 5]\n"
     ]
    }
   ],
   "source": [
    "a=[1,5,4]\n",
    "println(string(\"This is the sorted array b=\",sort(a)))\n",
    "println(string(\"But the original a remains unharmed a=\",a))\n",
    "sort!(a)\n",
    "println(string(\"Unless you use ! a=\",a))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Kwargs work a little different as well. ;D... is used instead of **D. Also, it is important to use symbols (:A) instead of strings (\"A\") for your dictionary.\n",
    "\n",
    "The ... is not necessary if you simply access one of the keyword arguments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9\n",
      "13\n",
      "11\n"
     ]
    }
   ],
   "source": [
    "function kiwi(;a=1,b=2,c=6)\n",
    "    println(a+b+c)\n",
    "end\n",
    "kwargs=Dict(:a=>2,Symbol(\"b\")=>3)\n",
    "kiwi()\n",
    "kiwi(;a=5)\n",
    "kiwi(;kwargs...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13\n",
      "11\n"
     ]
    },
    {
     "ename": "LoadError",
     "evalue": "UndefKeywordError: keyword argument a not assigned",
     "output_type": "error",
     "traceback": [
      "UndefKeywordError: keyword argument a not assigned",
      "",
      "Stacktrace:",
      " [1] kiwi()",
      "   @ Main ./In[5]:1",
      " [2] top-level scope",
      "   @ In[5]:7"
     ]
    }
   ],
   "source": [
    "function kiwi(;a,b=2,c=6)\n",
    "    println(a+b+c)\n",
    "end\n",
    "kwargs=Dict(:a=>2,:b=>3)\n",
    "kiwi(;a=5)\n",
    "kiwi(;kwargs...)\n",
    "kiwi()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parallellism?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Object oriented programming?\n",
    "There are different types and function; in the function you disclose which types to use.\n",
    "Multiple dispatch (not only first argument \"self\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Packages"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## using and import\n",
    "\n",
    "Within a module you can use the import statement but in Julia it is more common to use \"using\". Import can only be used at the beginning, within a function you need to use \"using\" anyway. In JuMP, for example, you need to use \"using\" because then the command \"@variable\" becomes available.\n",
    "\n",
    "(not 100% sure about these statements but in general \"using\" is better)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Package manager\n",
    "\n",
    "For the next part of the Jupyter notebook you might want to install some additional packages. We will use the package manager.\n",
    "\n",
    "In python you typically use pip to install a package. In Julia you use the build in package manager. In the terminal first type\n",
    "\n",
    "julia\n",
    "\n",
    "Once in julia you type\n",
    "\n",
    "]\n",
    "\n",
    "to go in the package manager mode (use backspace to return to normal mode). In package manager mode you can install a package simply through\n",
    "\n",
    "add packagename\n",
    "\n",
    "Alternatively, you can write a script using Pkg where you can add a package with Pkg.add(\"packagename\") and remove a package with Pkg.rm(\"packagename\")."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1mStatus\u001b[22m\u001b[39m `~/.julia/environments/v1.8/Project.toml`\n",
      " \u001b[90m [336ed68f] \u001b[39mCSV v0.10.9\n",
      " \u001b[90m [9961bab8] \u001b[39mCbc v1.0.3\n",
      " \u001b[90m [5ae59095] \u001b[39mColors v0.12.10\n",
      " \u001b[90m [a93c6f00] \u001b[39mDataFrames v1.5.0\n",
      " \u001b[90m [60bf3e95] \u001b[39mGLPK v1.1.1\n",
      " \u001b[90m [87dc4568] \u001b[39mHiGHS v1.4.3\n",
      " \u001b[90m [7073ff75] \u001b[39mIJulia v1.24.0\n",
      " \u001b[90m [b6b21f68] \u001b[39mIpopt v1.2.0\n",
      " \u001b[90m [682c06a0] \u001b[39mJSON v0.21.3\n",
      "\u001b[32m⌃\u001b[39m\u001b[90m [4076af6c] \u001b[39mJuMP v1.8.2\n",
      " \u001b[90m [91a5bcdd] \u001b[39mPlots v1.38.6\n",
      " \u001b[90m [c3e4b0f8] \u001b[39mPluto v0.19.22\n",
      " \u001b[90m [7f904dfe] \u001b[39mPlutoUI v0.7.50\n",
      " \u001b[90m [0cda1612] \u001b[39mSpineInterface v0.9.4 `~/OneDrive_KUL/Mopo/Code/SpineInterface.jl`\n",
      " \u001b[90m [0d8fc150] \u001b[39mSpineOpt v0.6.9 `~/OneDrive_KUL/Mopo/Code/SpineOpt.jl`\n",
      " \u001b[90m [fdbf4ff8] \u001b[39mXLSX v0.9.0\n",
      " \u001b[90m [fa267f1f] \u001b[39mTOML v1.0.0\n",
      "\u001b[36m\u001b[1mInfo\u001b[22m\u001b[39m Packages marked with \u001b[32m⌃\u001b[39m have new versions available and may be upgradable.\n"
     ]
    }
   ],
   "source": [
    "using Pkg\n",
    "Pkg.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m registry at `~/.julia/registries/General.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.8/Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "Pkg.add(\"Colors\")\n",
    "Pkg.add(\"Plots\")\n",
    "#Pkg.add(\"StatsPlots\")\n",
    "Pkg.add(\"DataFrames\")\n",
    "Pkg.add([\"JSON\",\"TOML\",\"CSV\",\"XLSX\"])\n",
    "Pkg.add(\"JuMP\")\n",
    "Pkg.add([\"GLPK\",\"Cbc\",\"Ipopt\",\"HiGHS\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## local files\n",
    "importing local files is a bit different from what you are used to in Python. In Python you could just import the local file as if it is any other installed package. In Julia you have to use a completely different command: \"include\".\n",
    "\n",
    "Similar to Python is that any code is executed. In the auxiliary file you can see that the script can be protected from being executed but that is a pythonic way of doing things. In Julia they usually make a separate example or test file instead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The file is used indirectly\n"
     ]
    }
   ],
   "source": [
    "include(\"./AuxiliaryJuliaStudyGroup.jl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## reproducability? Virtual environments?\n",
    "\n",
    "https://gitlab.kuleuven.be/UCM/esim-advanced-julia-training/-/blob/master/01.general_tips/general_tips.ipynb\n",
    "\n",
    "Also check the additional training material."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some useful packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Colors\n",
    "using Plots\n",
    "using JuMP\n",
    "using GLPK\n",
    "using DataFrames\n",
    "using XLSX\n",
    "#= packages that are not yet in this codelibrary\n",
    "using ScikitLearn # machine learning ported from Python\n",
    "using MLJ # machine learning in native Julia\n",
    "=#"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "100-element Array{RGB{N0f8},1} with eltype RGB{FixedPointNumbers.N0f8}:\n",
       " RGB{N0f8}(0.0,0.0,0.0)\n",
       " RGB{N0f8}(1.0,1.0,0.455)\n",
       " RGB{N0f8}(1.0,0.608,1.0)\n",
       " RGB{N0f8}(0.0,0.827,1.0)\n",
       " RGB{N0f8}(0.886,0.388,0.051)\n",
       " RGB{N0f8}(0.0,0.494,0.0)\n",
       " RGB{N0f8}(0.0,0.314,0.902)\n",
       " RGB{N0f8}(0.675,0.0,0.278)\n",
       " RGB{N0f8}(0.0,1.0,0.784)\n",
       " RGB{N0f8}(0.0,0.392,0.408)\n",
       " RGB{N0f8}(1.0,0.835,0.769)\n",
       " RGB{N0f8}(0.424,0.322,0.0)\n",
       " RGB{N0f8}(0.478,0.459,0.506)\n",
       " ⋮\n",
       " RGB{N0f8}(0.0,0.557,0.58)\n",
       " RGB{N0f8}(0.792,0.675,0.318)\n",
       " RGB{N0f8}(0.471,0.482,0.231)\n",
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       " RGB{N0f8}(0.855,0.0,0.247)\n",
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       " RGB{N0f8}(0.0,0.345,0.082)\n",
       " RGB{N0f8}(1.0,0.557,0.114)\n",
       " RGB{N0f8}(0.4,0.455,0.694)\n",
       " RGB{N0f8}(0.0,0.804,0.678)\n",
       " RGB{N0f8}(0.0,0.498,0.388)\n",
       " RGB{N0f8}(0.6,0.435,0.239)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "palette=distinguishable_colors(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "3×3 Array{RGB{N0f8},2} with eltype RGB{FixedPointNumbers.N0f8}:\n",
       " RGB{N0f8}(0.694,0.863,0.988)  …  RGB{N0f8}(0.0,0.494,0.0)\n",
       " RGB{N0f8}(1.0,0.737,0.502)       RGB{N0f8}(1.0,0.965,1.0)\n",
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      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rand(palette,3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#= there are different backends to choose from\n",
    "pyplot() # allows to use yguidefontrotation=-90\n",
    "gr()\n",
    "plotjs()\n",
    "=#\n",
    "p=1:0.1:100\n",
    "g(x)=x^-1\n",
    "gg(x)=2.7^(x/100)-1\n",
    "q=g.(p)\n",
    "qq=gg.(p)\n",
    "plot(p,q,label=\"hyperbolic\")\n",
    "# ! implies that it is added to the current plot\n",
    "plot!(p,qq,label=\"exponential\")\n",
    "xlabel!(\"x\")\n",
    "ylabel!(\"y\")\n",
    "title!(\"comparison of hyperbolic and exponential\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
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\"/>\n</svg>\n"
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p=1:0.1:100\n",
    "g(x)=x^-1\n",
    "gg(x)=2.7^(x/100)-1\n",
    "q=g.(p)\n",
    "qq=gg.(p)\n",
    "p1=plot(p,q,label=\"hyperbolic\",title=\"hyperbolic\")\n",
    "# ! implies that it is added to the current plot\n",
    "p2=plot(p,qq,label=\"exponential\")\n",
    "title!(\"exponential\")\n",
    "plot(p1,p2,layout=(1,2),legend=false)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{String, Any} with 8 entries:\n",
       "  \"shadow2\"       => -1.5\n",
       "  \"status_primal\" => FEASIBLE_POINT\n",
       "  \"status\"        => OPTIMAL\n",
       "  \"objective\"     => 205.0\n",
       "  \"x\"             => 15.0\n",
       "  \"shadow1\"       => -0.25\n",
       "  \"status_dual\"   => FEASIBLE_POINT\n",
       "  \"y\"             => 1.25"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function linearmodel(;y1=3,xo1=12,yo2=20,xc1=6,xc2=7,yc1=8,yc2=12,c1=100,c2=120)\n",
    "    #example code from https://jump.dev/JuMP.jl/stable/tutorials/getting_started/getting_started_with_JuMP/\n",
    "    model=Model(GLPK.Optimizer)\n",
    "    set_silent(model)#set_optimizer_attribute(model,\"print_level\",0)#\n",
    "    #region variables\n",
    "    @variable(model,x>=0)\n",
    "    @variable(model,0<=y<=y1)\n",
    "    #endregion\n",
    "    #region objective\n",
    "    @objective(model,Min,xo1*x+yo2*y)\n",
    "    #endregion\n",
    "    #region contstraints\n",
    "    @constraint(model,con1,xc1*x+yc1*y>=c1)\n",
    "    @constraint(model,con2,xc2*x+yc2*y>=c2)\n",
    "    #endregion\n",
    "    #print(model)\n",
    "    optimize!(model)\n",
    "    if termination_status(model) != OPTIMAL\n",
    "        #does not work for Ipopt\n",
    "        @warn(\"The model was not solved correctly.\")\n",
    "        return\n",
    "    end\n",
    "    return Dict(\"status\"=>termination_status(model),\"status_primal\"=>primal_status(model),\"status_dual\"=>dual_status(model),\"objective\"=>objective_value(model),\"x\"=>value(x),\"y\"=>value(y),\"shadow1\"=>shadow_price(con1),\"shadow2\"=>shadow_price(con2))\n",
    "end\n",
    "linearmodel()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are a lot of ways a dataframe can be constructed. Too much to mention here. You do need consistent column lengths though.\n",
    "\n",
    "One way to create a dataframe is through a dictionary (column names are the keywords and column vectors are the values of the dictionary). The values of the dataframe cannot be a scalar; it needs to be a vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\\begin{tabular}{r|ccc}\n",
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       "\t1 & 1 & 4 & \\emph{missing} \\\\\n",
       "\t2 & \\emph{missing} & 5 & y \\\\\n",
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       "\u001b[1m3×3 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m A       \u001b[0m\u001b[1m B       \u001b[0m\u001b[1m C       \u001b[0m\n",
       "     │\u001b[90m Int64?  \u001b[0m\u001b[90m Int64?  \u001b[0m\u001b[90m String? \u001b[0m\n",
       "─────┼───────────────────────────\n",
       "   1 │       1        4 \u001b[90m missing \u001b[0m\n",
       "   2 │\u001b[90m missing \u001b[0m       5  y\n",
       "   3 │       3 \u001b[90m missing \u001b[0m z"
      ]
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     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=DataFrame()\n",
    "df.A=[1,missing,3]\n",
    "df.B=[4,5,missing]\n",
    "df.C=[missing,\"y\",\"z\"]\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>1×3 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">A</th><th style = \"text-align: left;\">B</th><th style = \"text-align: left;\">C</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Int64\" style = \"text-align: left;\">Int64</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th><th title = \"Union{Missing, String}\" style = \"text-align: left;\">String?</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">1</td><td style = \"text-align: right;\">4</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr></tbody></table></div>"
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       "\\begin{tabular}{r|ccc}\n",
       "\t& A & B & C\\\\\n",
       "\t\\hline\n",
       "\t& Int64 & Int64 & String?\\\\\n",
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       "\t1 & 1 & 4 & \\emph{missing} \\\\\n",
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       "\u001b[1m1×3 DataFrame\u001b[0m\n",
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       "     │\u001b[90m Int64 \u001b[0m\u001b[90m Int64 \u001b[0m\u001b[90m String? \u001b[0m\n",
       "─────┼───────────────────────\n",
       "   1 │     1      4 \u001b[90m missing \u001b[0m"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfl = dropmissing(df,Not(:C))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>3×3 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">A</th><th style = \"text-align: left;\">B</th><th style = \"text-align: left;\">C</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Int64\" style = \"text-align: left;\">Int64</th><th title = \"Int64\" style = \"text-align: left;\">Int64</th><th title = \"String\" style = \"text-align: left;\">String</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">1</td><td style = \"text-align: right;\">4</td><td style = \"text-align: left;\">x</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: right;\">0</td><td style = \"text-align: right;\">5</td><td style = \"text-align: left;\">y</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: right;\">3</td><td style = \"text-align: right;\">0</td><td style = \"text-align: left;\">z</td></tr></tbody></table></div>"
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       "     │\u001b[90m Int64 \u001b[0m\u001b[90m Int64 \u001b[0m\u001b[90m String \u001b[0m\n",
       "─────┼──────────────────────\n",
       "   1 │     1      4  x\n",
       "   2 │     0      5  y\n",
       "   3 │     3      0  z"
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     "execution_count": 7,
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   ],
   "source": [
    "dfk=DataFrame()\n",
    "for dfn in names(df)\n",
    "    if dfn == \"C\"\n",
    "        dfk[!,dfn]=replace(df[!,dfn],missing => \"x\")\n",
    "    else\n",
    "        dfk[!,dfn]=replace(df[!,dfn],missing => 0)\n",
    "    end\n",
    "end\n",
    "dfk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>68×5 DataFrame</span></div><div style = \"float: right;\"><span style = \"font-style: italic;\">43 rows omitted</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">Technology</th><th style = \"text-align: left;\">Parameter</th><th style = \"text-align: left;\">category</th><th style = \"text-align: left;\">responsibility</th><th style = \"text-align: left;\">remarks</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Any\" style = \"text-align: left;\">Any</th><th title = \"Any\" style = \"text-align: left;\">Any</th><th title = \"Any\" style = \"text-align: left;\">Any</th><th title = \"Any\" style = \"text-align: left;\">Any</th><th title = \"Any\" style = \"text-align: left;\">Any</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: left;\">electricity demand</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">demand</td><td style = \"text-align: left;\">T6?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">2</td><td style = \"text-align: left;\">buildings</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">demand</td><td style = \"text-align: left;\">T8</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">3</td><td style = \"text-align: left;\">industry</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">demand</td><td style = \"text-align: left;\">T8</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">4</td><td style = \"text-align: left;\">nuclear fuel</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">5</td><td style = \"text-align: left;\">coal</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">6</td><td style = \"text-align: left;\">oil</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">7</td><td style = \"text-align: left;\">bio oil</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T4?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">8</td><td style = \"text-align: left;\">synthetic oil</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T4?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">9</td><td style = \"text-align: left;\">natural gas</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">Virgine (Fluxys, T2.5), Tars (KUL, T2.5)</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">10</td><td style = \"text-align: left;\">synthetic gas</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T4?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">11</td><td style = \"text-align: left;\">hydrogen</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">12</td><td style = \"text-align: left;\">biogas</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T4?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">13</td><td style = \"text-align: left;\">biomass</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">sources</td><td style = \"text-align: left;\">T4?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td><td style = \"text-align: right;\">&vellip;</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">57</td><td style = \"text-align: left;\">hydrogen storage</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">hydrogen storage</td><td style = \"text-align: left;\">T5</td><td style = \"text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">58</td><td style = \"text-align: left;\">Electrolyser</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">hydrogen</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">59</td><td style = \"text-align: left;\">Fuel cell</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">hydrogen</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">60</td><td style = \"text-align: left;\">direct air capture</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">co2</td><td style = \"text-align: left;\">T5</td><td style = \"text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">61</td><td style = \"text-align: left;\">carbon capture</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">co2</td><td style = \"text-align: left;\">T5</td><td style = \"font-style: italic; text-align: left;\">Rather as part of a power plant or separate power plants?</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">62</td><td style = \"text-align: left;\">Vehicle to grid</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">transport, storage</td><td style = \"text-align: left;\">Omar</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">63</td><td style = \"text-align: left;\">district heating</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">heating</td><td style = \"text-align: left;\">outside of scope of the project?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">64</td><td style = \"text-align: left;\">cars</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">transport</td><td style = \"text-align: left;\">T8</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">65</td><td style = \"text-align: left;\">trucks</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">transport</td><td style = \"text-align: left;\">T8</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">66</td><td style = \"text-align: left;\">planes</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">transport </td><td style = \"text-align: left;\">outside of scope of the project?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">67</td><td style = \"text-align: left;\">ships</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">transport</td><td style = \"text-align: left;\">outside of scope of the project?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">68</td><td style = \"text-align: left;\">refueling infrastructure</td><td style = \"font-style: italic; text-align: left;\">missing</td><td style = \"text-align: left;\">transport</td><td style = \"text-align: left;\">outside of scope of the project?</td><td style = \"font-style: italic; text-align: left;\">missing</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ccccc}\n",
       "\t& Technology & Parameter & category & responsibility & \\\\\n",
       "\t\\hline\n",
       "\t& Any & Any & Any & Any & \\\\\n",
       "\t\\hline\n",
       "\t1 & electricity demand & \\emph{missing} & demand & T6? & $\\dots$ \\\\\n",
       "\t2 & buildings & \\emph{missing} & demand & T8 & $\\dots$ \\\\\n",
       "\t3 & industry & \\emph{missing} & demand & T8 & $\\dots$ \\\\\n",
       "\t4 & nuclear fuel & \\emph{missing} & sources & T5 & $\\dots$ \\\\\n",
       "\t5 & coal & \\emph{missing} & sources & T5 & $\\dots$ \\\\\n",
       "\t6 & oil & \\emph{missing} & sources & T5 & $\\dots$ \\\\\n",
       "\t7 & bio oil & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t8 & synthetic oil & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t9 & natural gas & \\emph{missing} & sources & Virgine (Fluxys, T2.5), Tars (KUL, T2.5) & $\\dots$ \\\\\n",
       "\t10 & synthetic gas & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t11 & hydrogen & \\emph{missing} & sources & T5 & $\\dots$ \\\\\n",
       "\t12 & biogas & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t13 & biomass & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t14 & waste & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t15 & co2 & \\emph{missing} & co2 & T5 & $\\dots$ \\\\\n",
       "\t16 & ammonia & \\emph{missing} & sources & T4? & $\\dots$ \\\\\n",
       "\t17 & electricity & \\emph{missing} & sources & T5? & $\\dots$ \\\\\n",
       "\t18 & heat & \\emph{missing} & sources & outside of scope of the project? & $\\dots$ \\\\\n",
       "\t19 & oil refinery & \\emph{missing} & conversion & T5 & $\\dots$ \\\\\n",
       "\t20 & bio refinery & \\emph{missing} & conversion & T4? & $\\dots$ \\\\\n",
       "\t21 & fuel synthesis & \\emph{missing} & conversion & T4? & $\\dots$ \\\\\n",
       "\t22 & ammonia synthesis & \\emph{missing} & conversion & T4? & $\\dots$ \\\\\n",
       "\t23 & electricity transmission & \\emph{missing} & electricity network & T6? & $\\dots$ \\\\\n",
       "\t24 & electricity distribution & \\emph{missing} & electricity network & T6? & $\\dots$ \\\\\n",
       "\t25 & transformer & \\emph{missing} & electricity network & T6? & $\\dots$ \\\\\n",
       "\t26 & cable & \\emph{missing} & electricity network & T6? & $\\dots$ \\\\\n",
       "\t27 & overheadline & \\emph{missing} & electricity network & T6? & $\\dots$ \\\\\n",
       "\t28 & gas transmission & \\emph{missing} & gas network & T7? & $\\dots$ \\\\\n",
       "\t29 & gas distribution & \\emph{missing} & gas network & T7? & $\\dots$ \\\\\n",
       "\t30 & compressor station & \\emph{missing} & gas network & T7? & $\\dots$ \\\\\n",
       "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ &  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m68×5 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m Technology               \u001b[0m\u001b[1m Parameter \u001b[0m\u001b[1m category           \u001b[0m\u001b[1m responsibility\u001b[0m ⋯\n",
       "     │\u001b[90m Any                      \u001b[0m\u001b[90m Any       \u001b[0m\u001b[90m Any                \u001b[0m\u001b[90m Any           \u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │ electricity demand       \u001b[90m missing   \u001b[0m demand              T6?            ⋯\n",
       "   2 │ buildings                \u001b[90m missing   \u001b[0m demand              T8\n",
       "   3 │ industry                 \u001b[90m missing   \u001b[0m demand              T8\n",
       "   4 │ nuclear fuel             \u001b[90m missing   \u001b[0m sources             T5\n",
       "   5 │ coal                     \u001b[90m missing   \u001b[0m sources             T5             ⋯\n",
       "   6 │ oil                      \u001b[90m missing   \u001b[0m sources             T5\n",
       "   7 │ bio oil                  \u001b[90m missing   \u001b[0m sources             T4?\n",
       "   8 │ synthetic oil            \u001b[90m missing   \u001b[0m sources             T4?\n",
       "   9 │ natural gas              \u001b[90m missing   \u001b[0m sources             Virgine (Fluxy ⋯\n",
       "  10 │ synthetic gas            \u001b[90m missing   \u001b[0m sources             T4?\n",
       "  11 │ hydrogen                 \u001b[90m missing   \u001b[0m sources             T5\n",
       "  ⋮  │            ⋮                  ⋮              ⋮                          ⋱\n",
       "  59 │ Fuel cell                \u001b[90m missing   \u001b[0m hydrogen            T5\n",
       "  60 │ direct air capture       \u001b[90m missing   \u001b[0m co2                 T5             ⋯\n",
       "  61 │ carbon capture           \u001b[90m missing   \u001b[0m co2                 T5\n",
       "  62 │ Vehicle to grid          \u001b[90m missing   \u001b[0m transport, storage  Omar\n",
       "  63 │ district heating         \u001b[90m missing   \u001b[0m heating             outside of sco\n",
       "  64 │ cars                     \u001b[90m missing   \u001b[0m transport           T8             ⋯\n",
       "  65 │ trucks                   \u001b[90m missing   \u001b[0m transport           T8\n",
       "  66 │ planes                   \u001b[90m missing   \u001b[0m transport           outside of sco\n",
       "  67 │ ships                    \u001b[90m missing   \u001b[0m transport           outside of sco\n",
       "  68 │ refueling infrastructure \u001b[90m missing   \u001b[0m transport           outside of sco ⋯\n",
       "\u001b[36m                                                   2 columns and 47 rows omitted\u001b[0m"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfxl=DataFrame(XLSX.readtable(\"./Data_Tars/RawData.xlsx\",\"Tabelle1\"))\n",
    "#Dict(pairs(eachcol(dfxl)))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Julia Study Group mod files\n",
    "I suppose that the easiest way to play around with and show off our code is through here. Other ways, perhaps more on the coding side, are also welcome."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module mod_Tars.\n"
     ]
    }
   ],
   "source": [
    "using DataFrames\n",
    "include(\"./mod_Tars.jl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div style = \"float: left;\"><span>1×8 DataFrame</span></div><div style = \"clear: both;\"></div></div><div class = \"data-frame\" style = \"overflow-x: scroll;\"><table class = \"data-frame\" style = \"margin-bottom: 6px;\"><thead><tr class = \"header\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">Row</th><th style = \"text-align: left;\">objective</th><th style = \"text-align: left;\">shadow1</th><th style = \"text-align: left;\">shadow2</th><th style = \"text-align: left;\">status</th><th style = \"text-align: left;\">status_dual</th><th style = \"text-align: left;\">status_primal</th><th style = \"text-align: left;\">x</th><th style = \"text-align: left;\">y</th></tr><tr class = \"subheader headerLastRow\"><th class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\"></th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"String\" style = \"text-align: left;\">String</th><th title = \"String\" style = \"text-align: left;\">String</th><th title = \"String\" style = \"text-align: left;\">String</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th><th title = \"Float64\" style = \"text-align: left;\">Float64</th></tr></thead><tbody><tr><td class = \"rowNumber\" style = \"font-weight: bold; text-align: right;\">1</td><td style = \"text-align: right;\">205.0</td><td style = \"text-align: right;\">-0.25</td><td style = \"text-align: right;\">-1.5</td><td style = \"text-align: left;\">OPTIMAL</td><td style = \"text-align: left;\">FEASIBLE_POINT</td><td style = \"text-align: left;\">FEASIBLE_POINT</td><td style = \"text-align: right;\">15.0</td><td style = \"text-align: right;\">1.25</td></tr></tbody></table></div>"
      ],
      "text/latex": [
       "\\begin{tabular}{r|cccccccc}\n",
       "\t& objective & shadow1 & shadow2 & status & status\\_dual & status\\_primal & x & y\\\\\n",
       "\t\\hline\n",
       "\t& Float64 & Float64 & Float64 & String & String & String & Float64 & Float64\\\\\n",
       "\t\\hline\n",
       "\t1 & 205.0 & -0.25 & -1.5 & OPTIMAL & FEASIBLE\\_POINT & FEASIBLE\\_POINT & 15.0 & 1.25 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "\u001b[1m1×8 DataFrame\u001b[0m\n",
       "\u001b[1m Row \u001b[0m│\u001b[1m objective \u001b[0m\u001b[1m shadow1 \u001b[0m\u001b[1m shadow2 \u001b[0m\u001b[1m status  \u001b[0m\u001b[1m status_dual    \u001b[0m\u001b[1m status_primal  \u001b[0m\u001b[1m x\u001b[0m ⋯\n",
       "     │\u001b[90m Float64   \u001b[0m\u001b[90m Float64 \u001b[0m\u001b[90m Float64 \u001b[0m\u001b[90m String  \u001b[0m\u001b[90m String         \u001b[0m\u001b[90m String         \u001b[0m\u001b[90m F\u001b[0m ⋯\n",
       "─────┼──────────────────────────────────────────────────────────────────────────\n",
       "   1 │     205.0    -0.25     -1.5  OPTIMAL  FEASIBLE_POINT  FEASIBLE_POINT    ⋯\n",
       "\u001b[36m                                                               2 columns omitted\u001b[0m"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iodb=mod_Tars.loadfile()\n",
    "mod_Tars.savefile(iodb;iofile=\"Data_Tars/iofile_Tars_jupyter.json\")\n",
    "iodf=DataFrame(iodb[\"modelresults\"])\n",
    "mod_Tars.savefile(iodf;iofile=\"Data_Tars/iofile_Tars_jupyter.csv\")\n",
    "iodf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Dict{Symbol, AbstractVector} with 5 entries:\n",
       "  :responsibility => Any[\"T6?\", \"T8\", \"T8\", \"T5\", \"T5\", \"T5\", \"T4?\", \"T4?\", \"Vi…\n",
       "  :remarks        => Any[missing, missing, missing, missing, missing, missing, …\n",
       "  :Parameter      => Any[missing, missing, missing, missing, missing, missing, …\n",
       "  :Technology     => Any[\"electricity demand\", \"buildings\", \"industry\", \"nuclea…\n",
       "  :category       => Any[\"demand\", \"demand\", \"demand\", \"sources\", \"sources\", \"s…"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod_Tars.loadfile(;iofile=\"Data_Tars/RawData.xlsx\")#iofile_Tars.json#iofile_Tars.csv#RawData.xlsx#"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.8.5",
   "language": "julia",
   "name": "julia-1.8"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.8.5"
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 },
 "nbformat": 4,
 "nbformat_minor": 4
}