{ "cells": [ { "cell_type": "markdown", "id": "cdd18e67", "metadata": {}, "source": [ "# randomness\n", "\n", "When you're working with coding, especially for a visual output, you may find yourself wanting to produce variations on the same output, whether those variations are small or large. When the computer is given sufficiently detailed instructions on how to behave in different situations, there's no reason that a program can't be dynamic (ever-changing) and extensible (able to be used for many different purposes). One powerful tool to these ends is incorporating *randomness* to alter the output of code in ways that will never be exactly the same twice.\n", "\n", "The fact is, computers aren't great at behaving truly randomly. If you ask a computer to come up with a random number, it will inevitably end up doing some (non-random) calculations to give you a result, since all computers run on a series of instructions, no matter how complex. There have been many novel approaches to find a source of randomness in the world that can be fed into a computer - one fantastic solution was [Lavarand](https://en.wikipedia.org/wiki/Lavarand), a wall of lava lamps which were photographed and the results transformed into a series of numbers. This system is currently used by Cloudflare to assist in handling internet traffic.\n", "\n", "\n", "\n", "*A wall of lava lamps in the entrance area of the Cloudflare offices at 101 Townsend Street in San Francisco. Creative commons, via [Wikimedia Commons](https://commons.wikimedia.org/wiki/File:Lava_lamp_wall_at_Cloudflare_office_-2.jpg)*\n", "\n", "Most programs (especially ones that don't need to rely on randomness for security reasons, like gambling or storing passwords) can get away with *pseudorandomness*. Essentially, a large enough series of numbers (possibly with modifications thrown in based on things like the current computer's time) will appear random to the human eye, and that's good enough. In addition, there are different types of randomness. Ken Perlin, in 1983, designed an algorithm for pseudorandomness that is usually called *Perlin noise*. If you compare true (pseudo)randomness and Perlin randomness in the image below, you can see it is especially suited to randomly generating smooth, somewhat organic sequences.\n", "\n", "\n", "\n", "This image was generated by picking random numbers with either algorithm (true pseudorandomness, or Perlin randomness) over time, and using it as the next point on a line. There are py5 functions for generating different types of noise (and even plugins which mimic the Perlin noise algorithm), but we'll be concentrating on two functions related to regular randomness: `random()` and `random_seed()`. \n", "\n", "`random()` can be used with a single argument - an upper bound - to get a number below that upper bound. You can also use it with two arguments, to get a number between the two. Let's make a variable, *x*, and assign a random number to it a few times to see how that works." ] }, { "cell_type": "code", "execution_count": 1, "id": "e3f94aae", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.4915710700885647\n", "5.75047428984392\n", "5\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABkCAIAAAD/gAIDAAAA6UlEQVR4nO3QQQ0AIRDAwOP8S1tRWKAvQjKjoOmamY8z/+2Al5gVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBWYFZgVmBVsh5UDLDlCUMkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = random(5)\n", "print(x)\n", "x = random(5,10)\n", "print(x)\n", "print( int(x) )" ] }, { "cell_type": "markdown", "id": "236fea04", "metadata": {}, "source": [ "You'll quickly notice that the first two numbers are long decimal numbers rather than a whole number (a *float*, not an *integer*). If you'd like to instead get a whole number, you can use the `int()` function, seen above, to round it down. You'll also notice that - thanks to it being random - you get different results from repeatedly running the exact same sketch. \n", "\n", "Randomness is very powerful when it's combined with *iteration*, the ability to repeat something over and over. In other tutorials here, we've discussed *for* loops and *while* loops, an easy way to iterate over code as many times as you like. Let's combine randomness with our previous understanding of for loops to draw a hundred random dots on the screen." ] }, { "cell_type": "code", "execution_count": 2, "id": "f1ac8a23", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "for i in range(100):\n", " point( random(width), height/2 )" ] }, { "cell_type": "markdown", "id": "db96a89d", "metadata": {}, "source": [ "\n", "\n", "Broken down farther, in this range of 100 (to run the code 100 times), we're placing each point at the center of the screen vertically (`height/2`), and at a random point on the X-axis, between zero and `width`. This means they will never be placed off the right or left side of the screen. \n", "\n", "Let's edit our sketch to place a thousand points instead, and place them anywhere on the screen." ] }, { "cell_type": "code", "execution_count": 3, "id": "771543de", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "for i in range(1000):\n", " point( random(width), random(height) )" ] }, { "cell_type": "markdown", "id": "04ed4f8a", "metadata": {}, "source": [ "If you ran this code a hundred times, each result would look slightly different. However, this isn't always the result you want. If you've played any video game that uses randomized or procedurally generated elements, you may have heard of the concept of a *seed*. Essentially, the *seed* is a value that the game uses in its random calculations. In games that allow you to generate new levels using a seed, you and your friend on another continent can put in the exact same seed and play through the exact same game world, because all of these calculations have used their same starting value. \n", "\n", "In py5, you can use a function, `random_seed()`, to set this value manually. If `random_seed()` stays the same, running the sketch a hundred times will give the exact same results!" ] }, { "cell_type": "code", "execution_count": null, "id": "6f75d108", "metadata": {}, "outputs": [], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "random_seed(289212)\n", "\n", "for i in range(1000):\n", " point( random(width), random(height) )" ] }, { "cell_type": "markdown", "id": "e55a34c3", "metadata": {}, "source": [ "Run this sketch a few times. If you aren't certain whether your seed is working, you can concentrate on a single corner to confirm the results. No matter how many times you run it, the placement of the points will be the same. \n", "\n", "Let's have a practical example of combining randomness and iteration to create unique tiled artworks. \n", "\n", "## Truchet tiles\n", "\n", "Sébastien Truchet (1657–1729), a French Dominican priest, was active in the fields of mathematics, hydraulics, graphics and typography. One of his many contributions was a scheme for creating interesting patterns using tiles – which have since become known as Truchet tiles. The original Truchet tile is square, with two halves of color, divided diagonally. By rotating this tile, you can create four different variations.\n", "\n", "\n", "\n", "Combining these tiles in different patterns (whether those patterns are carefully designed or completely random) has a variety of pleasing results:\n", "\n", "\n", "\n", "We'll be experimenting with a variation on the Truchet tile called the quarter-circle tile. This only has two possible rotations, making it simple to work with. \n", "\n", "\n", "\n", "To draw just a single quarter-circle Truchet tile up in the corner of a sketch, you could use the following code..." ] }, { "cell_type": "code", "execution_count": 4, "id": "24d6f8c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "arc(0,0, 50,50, 0,PI/2)\n", "arc(50,50, 50,50, PI,PI+PI/2)" ] }, { "cell_type": "markdown", "id": "b9e80115", "metadata": {}, "source": [ "Just one truchet tile isn't going to cut it. Instead, let's try using a for loop to place Truchet tiles automatically. By nesting one for loop inside another, we can easily handle rows and columns simultaneously, to elegantly fill the screen with these tiles." ] }, { "cell_type": "code", "execution_count": 5, "id": "e178270c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "for column in range(12):\n", " for row in range(12):\n", " arc(column * 50, row * 50, 50,50, 0,PI/2)\n", " arc(column * 50 +50, row * 50+50, 50,50, PI,PI+PI/2)" ] }, { "cell_type": "markdown", "id": "3766a8be", "metadata": {}, "source": [ "Great - but they're only being printed with one of our two possible rotations. Because there are only possibilities, we can essentially perform a coin flip each time a tile is placed. This means we can use `random(2)` - as long as we also wrap it in an `int()` function, since of course including the possibility for decimal numbers gives us way more than two options! Test out this coin flip by adding the appropriate `print()` command in your loop. The console will be filled with 1s and 0s, since our upper limit is 2 and our numbers are being rounded down each time." ] }, { "cell_type": "code", "execution_count": 6, "id": "49bb0f0b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "0\n", "1\n", "1\n", "1\n", "1\n", "0\n", "1\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n", "1\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "0\n", "0\n", "1\n", "1\n", "1\n", "1\n", "0\n", "0\n", "0\n", "1\n", "0\n", "1\n", "0\n", "0\n", "1\n", "1\n", "1\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "1\n", "1\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "1\n", "1\n", "1\n", "0\n", "0\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "1\n", "1\n", "1\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "0\n", "1\n", 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\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "for column in range(12):\n", " for row in range(12):\n", " print( int(random(2)) )\n", " arc(column * 50, row * 50, 50,50, 0,PI/2)\n", " arc(column * 50 +50, row * 50+50, 50,50, PI,PI+PI/2)" ] }, { "cell_type": "markdown", "id": "84484702", "metadata": {}, "source": [ "For the sake of streamlining our code, we can transform this into a True or False result by comparing the output to one of the two possible options. This change will fill the console with True and False output instead - a perfect coin flipper!" ] }, { "cell_type": "code", "execution_count": 7, "id": "f53c2cce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "True\n", "False\n", "False\n", "True\n", "False\n", "False\n", "False\n", "True\n", "False\n", "False\n", "True\n", "False\n", "False\n", "False\n", "True\n", "True\n", "False\n", "True\n", "True\n", "False\n", "True\n", "True\n", "False\n", "True\n", "False\n", "False\n", "True\n", "True\n", "False\n", "False\n", "True\n", "False\n", "True\n", "False\n", "True\n", "True\n", "True\n", "False\n", "True\n", "True\n", "False\n", "True\n", "True\n", "False\n", "True\n", "True\n", "False\n", "False\n", "False\n", "True\n", "False\n", "False\n", "True\n", "False\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "False\n", "True\n", "False\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", 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\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "for column in range(12):\n", " for row in range(12):\n", " print( int(random(2)) == 1 )\n", " arc(column * 50, row * 50, 50,50, 0,PI/2)\n", " arc(column * 50 +50, row * 50+50, 50,50, PI,PI+PI/2)" ] }, { "cell_type": "markdown", "id": "1d777ff8", "metadata": {}, "source": [ "All that's left is to figure out how to use this to rotate the tile. While you *could* use a real rotation for this, for the sake of simplicity, we can use an *if/else* statement to choose whether to draw our original tile or a rotated tile." ] }, { "cell_type": "code", "execution_count": 8, "id": "a769bb12", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(600,600)\n", "background('#004477')\n", "no_fill()\n", "stroke('#FFFFFF')\n", "stroke_weight(3)\n", "\n", "for column in range(12):\n", " for row in range(12):\n", " #print( int(random(2)) == 1 )\n", " if int(random(2)) == 1:\n", " arc(column * 50, row * 50, 50,50, 0,PI/2)\n", " arc(column * 50 + 50, row * 50+50, 50,50, PI,PI+PI/2)\n", " else:\n", " arc(column * 50 + 50, row * 50, 50,50, PI/2,PI)\n", " arc(column * 50, row * 50 + 50, 50,50, PI+PI/2,2*PI)" ] }, { "cell_type": "markdown", "id": "860d0d94", "metadata": {}, "source": [ "\n", "\n", "Each time this code is run, you'll get a different randomized quarter-circle Truchet pattern.\n", "\n", "## progressively-jittery quads task\n", "\n", "This exercise was adapted from Ira Greenberg’s *Processing: Creative Coding and Generative Art in Processing 2* (page 80), which teaches programming using Processing's Java mode, rather than Python-based implementations like py5. You'll be recreating (using randomness, not manual labor) the following reference image:\n", "\n", "\n", "\n", "Let's place a small amount of code to start you off, and give you a few hints." ] }, { "cell_type": "code", "execution_count": null, "id": "c5f8ae2f", "metadata": {}, "outputs": [], "source": [ "size(600,600)\n", "background('#004477')\n", "stroke('#FFFFFF')\n", "\n", "# This variable will come in handy. Trust me.\n", "jitter = 0\n", "\n", "quad(50, 50, # top-left corner\n", " 50, 100, # lower-left\n", " 100, 100, # lower-right corner\n", " 100, 50) # top-right corner" ] }, { "cell_type": "markdown", "id": "ea48a405", "metadata": {}, "source": [ "You'll be drawing a total of 64 `quad()`s - in eight rows and eight columns. So, consider that a good place to start might be something like...\n", "\n", "```\n", "for column in range(8):\n", " for row in range(8):\n", "```\n", "\n", "Notice in the reference image that as quads are drawn across the page, there is an increasing amount of \"jitter\" - or randomness - nudging their corners, or vertices, up, down, left and right. Of course, since we're working with quads, we have a high amount of control over each one of their vertices, which makes them preferable to the visually similar `rect()`. \n", "\n", "If you wanted to make a set of quads that became linearly more distorted - instead of randomly - you could try adding a variable (like perhaps that variable above, `jitter`) to its corners, and increasing `jitter` each time your loop runs. \n", "\n", "Of course, because you want this to happen randomly, you'll have to get a bit more clever. `random(jitter)` will return a random number up to the value of the `jitter` variable. Even more useful, `random(-jitter, jitter)` can also return negative values - which in this case might help you make sure those vertices can be distorted upwards and to the left, too. \n", "\n", "First, just work on placing each quad in your for loop, using the `column` and `row` variables generated by that loop. \n", "\n", "Next, try adding some random jitter to each corner... and increasing that jitter over time. Good luck!" ] } ], "metadata": { "jupytext": { "formats": "ipynb,md:myst" }, "kernelspec": { "display_name": "py5bot", "language": "python", "name": "py5bot" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 5 }