Alkindi

Statistics module for haxe. Generates AS3 and JS.

http://documentup.com/j3k0/alkindi

Summary

This API solves generic issues with handling game statitics.

• Number of victories and defeats
• Longuest / current winning spree (number of succecutive victories)
• User leveling

API

Import/require the package

From javascript.

var alkindi = require("alkindi");

From actionscript.

import alkindi.Alkindi;

addGame()

Add a game to player's stats. This function actually doesn't change any object. It just takes an initial state, do some computation and return the list changes to perform (refered to as "outcome").

Definition:

addGame: LevelUpdateFunction -> LevelDecayFunction -> Array<PlayerArchive> -> Game -> Array<PlayerGameOutcome>

Note: if the added game is already in the player archive: outcome will be an empty array.

Usage from javascript:

var outcomes = alkindi.addGame(myUpdate, myDecay, archives, game);

Usage from actionscript:

var outcomes:Array = Alkindi.addGame(myUpdate, myDecay, archives, game);

See also: LevelDecayFunction, LevelUpdateFunction, PlayerArchive, Game, PlayerGameOutcome

getPlayerStats()

Compute a player' statistics from her archive of games.

Statistics include victories, defeats, levels, winningSprees. Each of those elements are arrays of DateValue (timestamp + value).

Definition:

archive: PlayerArchive -> PlayerStats

Usage from javascript:

var stats = alkindi.getPlayerStats(archives);

Usage from actionscript:

var stats:Object = Alkindi.getPlayerStats(archives);

See also: PlayerArchive, PlayerStats, DateValue

Level functions

Level reflects experience in the game. Each defeat of victory will change level points. Level points will decay over time while not playing. A global ranking could just be the list of players ordered by level points (but this is not managed by this library).

LevelUpdateFunction

Defines how Level updates while playing

typedef LevelUpdateFunction = Array<PlayerScoreAndLevel> -> Username -> LevelUpdate;

To define your own.

In javascript.

function myUpdate(players, username) {
    return { "newLevel": players.find(username).level + 10 }
}

In actionscript.

function myUpdate(players:Array, username:String):Object {
    return { newLevel: players.find(username).level + 10 }
}

See also: PlayerScoreAndLevel, LevelUpdate

LevelDecayFunction

Define how Level decays while not playing.

Player's level will decay from start date to end date, from given Level to the returned LevelUpdate.

typedef LevelDecayFunction = Timestamp -> Timestamp -> Level -> LevelUpdate;

To define your own.

In javascript.

function myDecay(t0, t1, level) {
    return { "newLevel": Math.round(level - (t1 - t0) / 3600) }
}

In actionscript.

function myDecay(t0:Number, t1:Number, level:int):int {
    return { newLevel: Math.round(level - (t1 - t0) / 3600) }
}

See also: LevelUpdate

LevelUpdate

typedef LevelUpdate = {
    newLevel: Int
}

Featured level functions

Alkindi features a number of level update/decay functions, they're free to use!

simpleLevelUpdate()

This level function will increase level by:

• 30 points for the player(s) with the best score
• 7 for other players

Usage from javascript.

var outcomes = alkindi.addGame(alkindi.simpleLevelUpdate, myDecay, archives, game);

Usage from actionscript.

var outcomes:Array = Alkindi.addGame(Alkindi.simpleLevelUpdate, myDecay, archives, game);

simpleLevelDecay

Level decreases 1 point per day, but won't go below 0.

Usage from javascript.

var outcomes = alkindi.addGame(myUpdate, alkindi.simpleLevelDecay, archives, game);

Usage from actionscript.

var outcomes:Array = Alkindi.addGame(myUpdate, Alkindi.simpleLevelDecay, archives, game);

relativeLevelUpdate

This strategy will increase level:

For the winner, by:

K(t) * w + 0.01 * d
1 if the above is less than 1.

with: w = max(30 - r, 1)

d is the difference of levels with the strongest player. (0 for the best player, positive integers for others)

r is the number of repetitions of this game. A repetition is a game featuring exactly all of the same players.

K(t) is a coefficient that increases with time.

K(t) = 2 ^ (t / M)

with T0 being the beginning of times (see Alkindi.TRIPOCH) This coefficient allow to give more weight to recent games than older games.

The magic numbers are such as K(t + 1month) ~= K(t) * 2

For the loosers, by:

0           for the strongest players
K(t) * l    for others

with: l = max(7 - r, 0)

K(t) and r defined as for winners

Usage from javascript.

var outcomes = alkindi.addGame(alkindi.relativeLevelUpdate, myDecay, archives, game);

Usage from actionscript.

var outcomes:Array = Alkindi.addGame(Alkindi.relativeLevelUpdate, myDecay, archives, game);

Basic Types

typedef Score = Int;
typedef Level = Int;
typedef Username = String;
typedef Timestamp = Float;
typedef GameId = String;

Games archives

PlayerArchive

typedef PlayerArchive = {
    username: String,
    games: Array<GameOutcome>
}

See also: GameOutcome

GameOutcome

typedef GameOutcome = {
    game: Game,
    outcome: LevelUpdate
}

See also: LevelUpdate, Game

Games and players

Game

typedef Game = {
    date: Timestamp,
    id: String,
    players: Array<PlayerScore>
}

PlayerScore

typedef PlayerScore = {
    username: String,
    score: Int
}

PlayerScoreAndLevel

typedef PlayerScoreAndLevel = {
    username: String,
    score: Int,
    level: Int
}

PlayerGameOutcome

typedef PlayerGameOutcome = {
    username: String,
    game: GameOutcome,
}

See also: GameOutcome

Statistics

PlayerStats

typedef PlayerStats = {
    username: String,
    victories: Array<DateValue>,
    defeats: Array<DateValue>,
    levels: Array<DateValue>,
    winningSprees: Array<DateValue>
}

victories: Number of victories over time.

defeats: Number of defeats over time.

levels: Player level over time.

winningSprees: Succecutive victories over time.

DateValue

typedef DateValue = {
    date: Timestamp,
    value: Int
}

Examples

Javascript

To use the library from javascript, run in your terminal:

npm install alkindi

Then in your javascript:

var alkindi = require("alkindi");

var archives = [{
    username: "sousou",
    games: [{
        outcome: { "newLevel": 50 },
        game: {
            date: 1981,
            id: "mummy",
            players: [{
                username: "sousou",
                score: 20
            }, {
                username: "oreo",
                score: 35
            }]
        }
    }]
}, {
    username: "jeko",
    games: []
}];

var game = {
    id: "dummy",
    date: 1991,
    players: [{
        username: "jeko",
        score: 21
    }, {
        username: "sousou",
        score: 20
    }]
};

var outcomes = alkindi.addGame(
    alkindi.simpleLevelUpdate,
    alkindi.simpleLevelDecay,
    archives, game);

Contribute

Build the library

The build system uses no tools or dependencies that aren't in a docker image, except for make. Only have docker installed and type one of the commands below, it shouldn't bother with any missing dependencies.

If you find it more conveniant, you can use locally installed haxe by setting:

export dhaxe=/path/to/haxe

Javascript

Javascript output can be generated by typing:

make js

This gonna generate a file called bin/alkindi.js

Actionscript

Actionscript output can be generated by typing:

make swc

This gonna generate a file called bin/alkindi.swc

or to generate actionscript files:

make a3

Run tests

To run unit tests:

make test