intro_to_python.ipynb

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        "# Introduction to Python\n",
        "In the introductory notebook, we talked a little bit about what notebooks even are, how to use them, and showed a very simple example of Python code. In this notebook, we're going to pick up where we left off with those examples and continue showing some of the basics of how Python works and give some exercises to try. Rather than dealing directly with machine learning libraries immediately we're just going to continue using basic Python with a simple drawing library, in order to make clear what's *Python* and what's specifically from the stack of libraries you'll be using for your machine learning projects.\n",
        "\n",
        "This little overview is not meant to be a comprehensive introduction to Python but rather a brief taste showing some of the basic programming concepts so that, as you continue learning more, you've already seen some of these ideas once. This means that we'll be going a little fast and explaining code after we show it working, with opportunities scattered throughout to play with code and write your own.\n",
        "\n",
        "From last time, we first installed the `ColabTurtle` library with `pip` and then draw a simple shape, like this"
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            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Collecting ColabTurtle\n",
            "  Downloading ColabTurtle-2.1.0.tar.gz (6.8 kB)\n",
            "Building wheels for collected packages: ColabTurtle\n",
            "  Building wheel for ColabTurtle (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for ColabTurtle: filename=ColabTurtle-2.1.0-py3-none-any.whl size=7657 sha256=0b782bc6d182d2059d2f04632daeccb1cc3cb68695165cf47258a4e92238af8a\n",
            "  Stored in directory: /root/.cache/pip/wheels/0d/ab/65/cc4478508751448dfb4ecb20a6533082855c227dfce8c13902\n",
            "Successfully built ColabTurtle\n",
            "Installing collected packages: ColabTurtle\n",
            "Successfully installed ColabTurtle-2.1.0\n"
          ]
        }
      ],
      "source": [
        "!pip install ColabTurtle"
      ]
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        "from ColabTurtle.Turtle import *\n",
        "\n",
        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "penup()\n",
        "goto(100,100)\n",
        "\n",
        "pendown()\n",
        "forward(50)\n",
        "right(90)\n",
        "forward(50)\n",
        "right(90)\n",
        "forward(50)\n",
        "right(90)\n",
        "forward(50)"
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        "When ran, this program is going to draw a little blue square. We're going to just quickly talk about the syntax of this small program and what each piece is doing before we build on it:\n",
        "\n",
        " + first we load the library and tell Python what we want to use from it, you can read this piece-by-piece like\n",
        "   + `from` : I'm going to tell you what library I want\n",
        "   + `ColabTurtle.Turtle` : from inside the library `ColabTurtle` I want the part called `Turtle`\n",
        "   + `import` : I'm going to tell you what code inside the library I want to use\n",
        "   + `*` : I want to use all of it\n",
        " + `initializeTurtle` is the name of a *function*, a reusable---named---piece of code, that we have to run before we start drawing, we run it by writing its name followed by the empty parentheses hence `initializeTurtle()`\n",
        " + `color('mediumblue')` is another use of a function, but this time we're giving it an *argument*, a piece of data it needs to run\n",
        "   + when you write text inside single-quotes or double-quotes this means that the text itself is the data and that Python knows to not interpret it as the name of, say, a function\n",
        "   + in this case our text is \"mediumblue\" which tells the `color` function which color to use, earlier our text was a message that we wanted printed to the screen\n",
        " + the next few function calls are easier to explain\n",
        "   + `penup()` means don't draw while the turtle moves\n",
        "   + `goto(100,100)` means go to the position `(100,100)` in the drawing\n",
        "   + `pendown()` means *start* drawing\n",
        "   + `forward(50)` means move forward 50 pixels\n",
        "   + `right(90)` means turn right by 90 degrees\n",
        "   + and if we draw then turn right four times we get...\n",
        "\n",
        "So that's our first program, now let's talk about how to make this program better and introduce some new concepts:\n",
        "\n",
        "First, it seems a little silly to have to write `forward` then `right` over and over again. It'd be nice to be able to *repeat* something multiple times, right? Programmers call this \"iteration\" and, in Python, it's done with something called a `for` loop. Our program is going to look like\n"
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        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "penup()\n",
        "goto(100,100)\n",
        "\n",
        "pendown()\n",
        "\n",
        "for i in range(0,4):\n",
        "    forward(50)\n",
        "    right(90)"
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        "Much better! But how does it work? The loop starts with `for` followed a *name*, in this case `i`, that we're going to give to the counter of the loop. Now, programming is a little weird in that we generally always start counting from 0, so `range(0,4)` is saying that `i` should take on the values 0, 1, 2, 3 as the loop runs and then it finishes.\n",
        "\n",
        "You might notice some things about the formatting! First, that the line that starts with `for` ends with a colon `:`. This tells the Python interpreter that the next lines it's going to see are the *body* for the for-loop. You demarcate those lines by indenting them with a single hit of the tab key. Once you move back to the original indentation, the Python interpreter knows to stop looking for code to run as part of the loop.\n",
        "\n",
        "As an aside, *generally* the indentation is actually a series of spaces under the hood and not, in fact, a tab-character. But basically any code editor worth its salt will let you hit the tab-key as a shortcut for hitting space several times. This probably won't ever matter but is important in *rare* case you ever get the dreaded error that says the intepreter can't understand a mix of tabs and spaces, which means that somewhere there's a tab-character where there probably shouldn't be one. You can fix this by just deleting the spacing and re-indenting it in an editor that isn't silly.\n",
        "\n",
        "So this loop is great if we want to draw only squares in one position, but about drawing any regular polygon? Or drawing it at different places? In order to do that we need to make our code much more general and write a *function*. \n",
        "\n",
        "Like our previous examples we're going to show the code *first* and then zoom out and explain the why.\n"
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        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "penup()\n",
        "\n",
        "def drawSquare():\n",
        "    pendown()\n",
        "    for i in range(0,4):\n",
        "        forward(50)\n",
        "        right(90)\n",
        "    penup()\n",
        "\n",
        "goto(50,50)\n",
        "drawSquare()\n",
        "\n",
        "goto(100,100)\n",
        "drawSquare()\n",
        "\n",
        "goto(200,200)\n",
        "drawSquare()"
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        "So we've added a function called `drawSquare` that takes *no* arguments---for now at least---and draws a square immediately at the position of the turtle.\n",
        "\n",
        "Much like the `for` loop we end the line with a `:` to signify to Python that until the text is un-indented consider all lines to be part of the function. The function itself is pretty simple and bundles up all the functionality of drawing a square that we've seen so far. \n",
        "\n",
        "You can note that when we have a `for` loop inside the function we indent the body of the loop even more.\n",
        "\n",
        "There's still some things that we should fix about this code, though. The first being that you have to use the `goto` separately from the drawing. Wouldn't it be nice to have it just pain the square at a particular position? The second is that it would be nice to draw shapes of different *sizes*. The third is that you might want to be able to draw regular polygons that aren't squares.\n",
        "\n",
        "We'll fix all of these with just a couple of small changes and adding a few arguments to the function instead, which we're now calling `drawShape`\n",
        "\n"
      ]
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      "source": [
        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "def drawShape(x,y,n,l):\n",
        "    penup()\n",
        "    goto(x,y)\n",
        "    pendown()\n",
        "    for i in range(0,n):\n",
        "        forward(l)\n",
        "        right(360/n)\n",
        "    penup()\n",
        "\n",
        "for i in range(0,6):\n",
        "    drawShape(50*i+50,50*i+50,4,50)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-OCxLl6RZnvG"
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      "source": [
        "This is pretty good now. It's functional. You can make various drawings with it. \n",
        "\n",
        "For practice you might even try using the cell below to do some drawing just with your knowledge of `for`-loops and function calls so far!"
      ]
    },
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      "source": [
        "initializeTurtle()\n",
        "\n",
        "# add in whatever code you want below and try doing some drawing!\n",
        "# you can even change the color between drawings "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_-1QdlfK-L2T"
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      "source": [
        "The next bit of functionality we might want to add is the ability to draw an arbitrary polygon, not just a regular one.\n",
        "\n",
        "To do that we're going to introduce two other important kinds of data beyond strings, numbers, and functions: *lists* and *tuples*. This is again a moment we're going to go a little bit quickly in order to get to an example that will clarify via use.\n",
        "\n",
        "Lists are what they sound like: an ordered sequence of items.\n",
        "\n",
        "You write a list like `[1,2,3,4]`, with the list enclosed in square brackets and the items separated by commas. You can add to a list with a function called `append`, as in `[1,2,3,4].append(5)` will result in `[1,2,3,4,5]`.\n",
        "\n",
        "You can get items back *out* of a list by asking for the item at its position, starting with `0` as the index of the \"first\" item. This is a historic precedent set all the way back in the first version of the C programming language and with rare exception (such as a language used mostly in games and art called Lua) every language will start counting items with 0. \n",
        "\n",
        "So `[1,2,3,4][0]` will return `1` and `[1,2,3,4][3]` will return `4`.\n",
        "\n",
        "If you want to snatch out *part* of a list you can *slice* it, which is done by giving the range of indices to take separated by a colon, complicated by the fact that you're allowed to put nothing or even a negative number for an index. Probably the two most common uses of slicing you'll see are: \n",
        " - everything *except* the first element `lst[1:]`\n",
        " - everything *except* the last element `lst[:-1]`\n",
        "\n",
        "Tuples are, basically, what you've seen before in a math class where you'd write the x and y coordinates of a point as `(20,30)` or in 3-dimensions as `(20,30,40)` &c. They allow a *closed* grouping of data, as opposed to the *open* grouping of lists. Getting data out of the tuple is pretty easy. If you have a tuple `p` you can put the values in `p` in separate variables like this: `(x,y) = p`.\n",
        "\n",
        "We're going to represent an arbitrary polygon, then, as *a list of tuples*, representing the vertices of the polygon. This means our drawing function is going to need to be able to loop over the contents of a list. Thankfully, we already know how to do that! It's the exact same `for`-loop we've already seen.\n",
        "\n",
        "Again, we'll show the code and explain how it works afterwards. There will be one little problem to fix so watch out and see if you can spot it even before it's explained!"
      ]
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        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "def drawAnyShape(vertices):\n",
        "    (x0,y0) = vertices[0]\n",
        "    restOfTheVertices = vertices[1:]\n",
        "    penup()\n",
        "    goto(x0,y0)\n",
        "    pendown()\n",
        "    for (x,y) in restOfTheVertices:\n",
        "      goto(x,y)\n",
        "    penup()\n",
        "\n",
        "drawAnyShape([(50,50),(120,120),(120,50)])"
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      "source": [
        "Alright, there's *a lot* of concepts being introduced here so let's tackle this code line by line again:\n",
        " \n",
        "- `def drawAnyShape(vertices):` here we're defining our function with just *one* argument this time, the list of vertices\n",
        "- `(x0,y0) = vertices[0]` this is a wonderfully dense line of code because we're able to both select the first (\"zeroth\") item vertex in the list and put the values into variables `x0` and `y0` in order to `goto` the initial points\n",
        "- `restOfTheVertices = vertices[1:]` this drops the first element of the list of vertices, because we don't want to go to it twice\n",
        "- `penup()` we make sure that we're not starting drawing until we're at the first vertex\n",
        "- `goto(x0,y0)` we actually put the turtle at the first vertex\n",
        "- `pendown()` we're now ready to draw\n",
        "- `for (x,y) in restOfTheVertices:` we start our loop over the vertices, with the x and y coordinate of each vertex getting stored in the variables `x` and `y` each round of the loop\n",
        "- `goto(x,y)` we move to the next vertex, drawing a line between it and our last point. This is the only line of code in the body of our loop\n",
        "- `penup()` we're now done drawing \n",
        "\n",
        "Okay, now if you've run the code you'll see the obvious problem: it doesn't close the polygon! Why is that? Well, we never go back to the start before lifting the pen. \n",
        "\n",
        "Since we've stored the starting point we could just put one last `goto` before the `penup` but the more clever thing would be to add the last vertex to the end of the list of vertices to loop over using `append`.\n",
        "\n"
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      "source": [
        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "def drawAnyShape(vertices):\n",
        "    (x0,y0) = vertices[0]\n",
        "    restOfTheVertices = vertices[1:]\n",
        "    restOfTheVertices.append((x0,y0)) # here's our new line of code\n",
        "    penup()\n",
        "    goto(x0,y0)\n",
        "    pendown()\n",
        "    for (x,y) in restOfTheVertices:\n",
        "      goto(x,y)\n",
        "    penup()\n",
        "\n",
        "drawAnyShape([(50,50),(120,120),(120,50)])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kG0fyv_Gion4"
      },
      "source": [
        "Exercise to try: write a new function `drawAnyShapeP(x,y,ps)` that instead takes the x and y coordinates for where to start drawing and then uses points as relative offsets rather than absolute positions. The easiest way to do this is to reuse the function above inside it!\n",
        "\n",
        "(hint: you'll need to make a new list, then write a for-loop to take the offsets and adjust them to be the absolute positions before passing that list to the `drawAnyShape` function)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tlRlkMLPsXNg"
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      "source": [
        "The last thing we're going to talk about is the `if`-statement, that lets you make choices depending on conditions. The basic syntax is\n",
        "```\n",
        " if condition:\n",
        "  things that should happen if the condition is true\n",
        " else:\n",
        "  what should happen every other case\n",
        "```\n",
        "This is very similar to the way that `for` and `def` statements work in terms of colons and indentation. \n",
        "\n",
        "Our next example is going to demonstrate the last really common bit of syntax in Python you need to know: dictionaries.\n",
        "\n",
        "Dictionaries are like lists, except that rather than having an *order* to them they take in strings and give out data.\n",
        "\n",
        "We're going to show how to use dictionaries to create a function that lets you choose several different shapes by name instead of by number of sides!\n",
        "\n",
        "We're also going to demonstrate one of the nice things about *encapsulating* code as functions: the ability to make new functions from our old ones.\n",
        "\n",
        "In this case we're going to use the definition of `drawShape` above in our new `drawNamedShape` function, calling it with the appropriate number of sides given the name that's passed in.\n",
        "\n",
        "**This means the code does not work unless you've already run the cell defining `drawShape` above**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
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        },
        "id": "IYAORvFhHYck",
        "outputId": "69e15319-a2cc-4be4-ac9a-8160ebfd3a87"
      },
      "outputs": [
        {
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          "output_type": "stream",
          "name": "stdout",
          "text": [
            "I don't know that shape\n"
          ]
        }
      ],
      "source": [
        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "def drawNamedShape(x,y,name,l):\n",
        "  shapeDict = { 'square' : 4,\n",
        "                'pentagon' : 5,\n",
        "                \"hexagon\" : 6,\n",
        "                \"octagon\" : 8}\n",
        "  if name in shapeDict:\n",
        "    drawShape(x,y,shapeDict[name],l)\n",
        "  else:\n",
        "    print(\"I don't know that shape\")\n",
        "\n",
        "\n",
        "drawNamedShape(50,60,\"octagon\",40)\n",
        "\n",
        "drawNamedShape(100,100,\"dodecasuperhyperdon\", 50)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qbwSPdlwKFXA"
      },
      "source": [
        "The one extra thing we've shown is that we're using `name in shapeDict` to guard against a name that *isn't* in the dictionary. Being careful against errors is generally a good idea when programming."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D3vq-Rv7F0mx"
      },
      "source": [
        "Our final example is going to be a bit of a departure because I am, in fact, legally required to show you at least one fractal in tutorial that uses turtle graphics for visualizing code. So we're going to do that by demonstrating [Koch's curve](https://en.wikipedia.org/wiki/Koch_snowflake).\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
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        "id": "7VD0YD1JnVjU",
        "outputId": "548eeca4-d316-4be4-9307-e0dbd0419fd3"
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      "outputs": [
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      "source": [
        "initializeTurtle()\n",
        "\n",
        "color('mediumblue')\n",
        "\n",
        "def kochCurve(l,n):\n",
        "  if n > 0:\n",
        "    newLength = l/3\n",
        "    kochCurve(newLength,n-1)\n",
        "    left(60)\n",
        "    kochCurve(newLength,n-1)\n",
        "    right(120)\n",
        "    kochCurve(newLength,n-1)\n",
        "    left(60)\n",
        "    kochCurve(newLength,n-1)\n",
        "  else:\n",
        "    forward(l)\n",
        "\n",
        "penup()\n",
        "face(0)\n",
        "\n",
        "goto(0,300)\n",
        "\n",
        "speed(13)\n",
        "\n",
        "pendown()\n",
        "\n",
        "kochCurve(750,5)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MVJKsAdguIsv"
      },
      "source": [
        "And with that we're ending this whirlwind tour of Python programming. From here, I would recommend reading an introductory textbook like [Automate The Boring Stuff in Python](https://automatetheboringstuff.com/) or the [introductory Kaggle tutorial](https://www.kaggle.com/learn/intro-to-programming)"
      ]
    }
  ],
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