We’re used to have the meetup separated in two parts, either two talks or a talk and some workshops. For that june session, we have a talk and some workshops.
Bandsquare an application rebuilt with Clojure and Datomic
Valentin Waeselynck’s talk is about BandSquare, a web application that he rebuilt using Clojure and Datomic. He goes along all the Datomic’s superpowers that allows him to rebuild and run the bandsquare app, stating a huge productivity increase using that stack.
Hiram Madelaine runs a beginner’s workshop, and Jérémie Grodziski a kata about the SET game for the first time. The SET game Kata explanation with some code is on github, here is an extract of the Kata.
SET Game Kata
The goal of the SET game is to identify a SET of 3 cards from 12 cards choosed randomly from the 81 cards and placed face up on the table. Each card has four features, which can vary as follows:
A SET consists of 3 cards in which each of the card’s features, looked at one‐by‐one, are the same on each card, or, are different on each card. All of the features must separately satisfy this rule. In other words: shape must be either the same on all 3 cards, or different on each of the 3 cards; color must be either the same on all 3 cards, or different on each of the 3, etc. See EXAMPLES below. So all the cards are:
A quick check ‐ Is it a SET?
If 2 cards are the same and 1 card is different in any feature, then it is not a SET. For example, if 2 are red and 1 is purple then it is not a SET. A SET must be either all the same OR all different in each individual feature.
For example, the following are SETs:
All three cards have the same shape, the same color, the same number of symbols and they all have different shading.
All three cards have different shapes, different colors, and different numbers of symbols and they all have the same shading.
All three cards have different shapes, different colors, different numbers of symbols and different shadings.
- The dealer shuffles the cards and lays 12 of them face up on the table (in a rectangle) so that they can be seen by all.
- Players identify and remove SETs of 3 cards from anywhere on the table.
- Each SET is checked by the other players.
- If correct, the SET is kept by the player for one point and the dealer replaces the 3 cards with 3 from the deck.
- The SET must be picked up within a few seconds after calling it. If a player calls SET and does not have one, or if the SET is incorrect, he/she loses one point, and the 3 cards are returned to the table.
- The play continues until the deck is depleted. At the end of the game there may be cards remaining that do not form a SET. The number of SETs held by each player is then counted.
- One point is given for each SET. High score wins.
- A player must call SET before picking up the cards.
- There are no turns, the first player to call SET gets control of the board.
- After he/she has called SET, no other player can pick up cards until that player has finished.
- If all players agree that there is not a SET in the 12 cards, 3 more cards are laid face up on the table. The 3 cards are not replaced when the next SET is found, reducing the number back to 12. Note: There are ~ 33:1 odds that a SET is present in 12 cards, and ~ 2500:1 odds when 15 cards are on the table.
Stunning Anecdote about the SET game
How big, one might wonder, is the largest collection of cards that contains no set? the answer is 20, proved in 1971 by the Italian mathematician Giuseppe Pellegrino.
Recent math papers published in may 2016 defines an upper bound on how big a set can be with a variable number n of attributes, leading to big advances in “polynomial method” field of mathematics.
The SET Game Kata
Instructions for the SET game domain logic
- Choose a representation for the characteristics of each card
- Generate all the cards from the combinations of the 4 different characteristics (colors, numbers, shadings and shapes), hence 3^4 or 81 cards.
- Pick 12 cards randomly forming a deck
- Define a predicate function
set-of-cards?saying if three cards are forming a SET or not
- Find the solutions from the deck 12 cards
A possible solution
Here is a solution for the Kata, using some brute force forming all the combinations C3/20 (hence 220) and checking if each one of those is a set or not.
The code is in src/cljc/set_game/logic.cljc.
.cljc suffix and source directory means the Clojure code in the file can either be run on the JVM or in a browser, hence is Clojure/ClojureScript compatible,
.cljs means ClojureScript only and
.clj Clojure only.
For instance, given the following deck (random) :
the result of applying the SETs function to the deck data structure gives back the two solution:
- implement the game steps to empty the cards
A solution using Clojure.spec
An amazing solution made by Christophe Grand using clojure.spec: https://gist.github.com/cgrand/4985a7ef80c8c85291213437d06d9169
Beware the SET game is copyrighted! the content is here for educational purpose only.
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