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#Player Monoids
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The idea behind this library is that global player state (physics overrides,
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armor values, etc.) changes from multiple mods should mesh nicely with each
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other. This means they must be combinable in a sane way.
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Monoids
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=======
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A player monoid covers a single kind of player state a mod might want to change.
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These can be built-in player state, like speed multipliers or fly permissions,
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or could be custom state introduced by mods, such as corruption or reputation
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level. When you make a player monoid, you must choose some type of value to
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represent state changes - for example, numbers for speed multipliers, or vectors
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for "lucky direction". Each mod can contribute different changes, represented
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by this type of value, and they are all combined together. This combined value
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is interpreted and converted into actual effects on the player's state.
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Privileges could be set, physics overrides would be used to effect speed
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changes, and a mod might change some value to match the monoid.
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Definition
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----------
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A player monoid definition is a table with the following:
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* ```combine(elem1, elem2)``` - An associative binary operation
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* ```fold({elems})``` - Equivalent to combining a whole list with ```combine```
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* ```identity``` - An identity element for ```combine```
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* ```apply(value, player)``` - Apply the effect represented by ```value```
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to ```player```
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* ```on_change(val1, val2, player)``` - Do something when the value on a
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player changes. (optional)
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Additionally, you should document what values are valid representatives of
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your monoid's effects. When something says that a value is "in a monoid", it
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means that value is a valid representative of your monoid's effects.
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combine and fold
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----------------
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```combine``` should take two values in your monoid and produce a third value in
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your monoid. It should also be an associative operation. ```fold`` should take a
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table containing elements of your monoid as input and combine them together in
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key order. It should be equivalent to using ```combine``` to combine all the
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values together. For example, ```combine``` could multiply two speed multipliers
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together, and ```fold``` could multiply every value together.
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identity
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--------
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```identity```, when combined with any other value, should result in the other
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value. It also represents the "default" or "neutral" state of the player, and
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will be used when there are no status effects active for a particular monoid.
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For example, the identity of a speed monoid could be the multiplier ```1```.
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apply
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-----
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```apply``` is the function that interprets a value in your monoid to do
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something to the player's state. For example, you could set a speed multiplier
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as the speed physics override for the player.
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Functions
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=========
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```player_monoids.make_monoid(monoid_def)``` - Creates a new monoid that can be
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used to make changes to the player state. Returns a monoid.
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Monoid Methods
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--------------
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```monoid:add_change(player, value[, "id"])``` - Applies the change represented
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by ```value``` to ```player```. Returns an ID for the change. If the optional
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string argument ```"id"``` is supplied, that is used as the ID instead, and any
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existing change with that ID is removed. IDs are only guaranteed to be unique
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per-player. Conversely, you are allowed to make multiple changes with the same
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ID as long as they are all on different players.
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```monoid:del_change(player, id)``` - Removes the change with the given ID, from
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the given player, if it exists.
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```monoid:value(player)``` - The current combined value of the monoid for the
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given player.
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