feat(gs/xanthous): Allow throwing rocks r/2994

Implement a first pass at a "fire" command, which allows throwing rocks,
the max distance and the damage of which is based on the weight of the
item and the strength of the player.

Currently the actual numbers here likely need some tweaking, as the
rocks are easily throwable at good distances but don't really deal any
damage.

Change-Id: Ic6ad0599444af44d8438b834237a1997b67f220f
Reviewed-on: https://cl.tvl.fyi/c/depot/+/3764
Reviewed-by: grfn <grfn@gws.fyi>
Tested-by: BuildkiteCI

1 files changed, 117 insertions, 9 deletions

diff --git a/users/grfn/xanthous/src/Xanthous/Data.hs b/users/grfn/xanthous/src/Xanthous/Data.hs
index 9b3c35c545..1b67e0f160 100644
--- a/users/grfn/xanthous/src/Xanthous/Data.hs
+++ b/users/grfn/xanthous/src/Xanthous/Data.hs
@@ -8,10 +8,9 @@
 {-# LANGUAGE DuplicateRecordFields  #-}
 {-# LANGUAGE QuantifiedConstraints  #-}
 {-# LANGUAGE UndecidableInstances   #-}
+{-# LANGUAGE AllowAmbiguousTypes    #-}
 --------------------------------------------------------------------------------
--- | Common data types for Xanthous
---------------------------------------------------------------------------------
-{-# LANGUAGE AllowAmbiguousTypes #-}
+-- | Common data types for Xanthous ------------------------------------------------------------------------------
 module Xanthous.Data
   ( Opposite(..)
 
@@ -34,6 +33,7 @@ module Xanthous.Data
   , diffPositions
   , stepTowards
   , isUnit
+  , distance
 
     -- * Boxes
   , Box(..)
@@ -47,20 +47,29 @@ module Xanthous.Data
   , boxEdge
   , module Linear.V2
 
-    -- *
+    -- * Unit math
+  , Scalar(..)
   , Per(..)
   , invertRate
   , invertedRate
+  , (|+|)
   , (|*|)
+  , (|/|)
+  , (:+:)
+  , (:*:)
+  , (:/:)
+  , (:**:)(..)
   , Ticks(..)
   , Tiles(..)
   , TicksPerTile
   , TilesPerTick
   , timesTiles
   , Square(..)
+  , squared
   , Cubic(..)
   , Grams
   , Meters
+  , Uno(..)
   , Unit(..)
   , UnitSymbol(..)
 
@@ -125,6 +134,7 @@ import           Xanthous.Util (EqEqProp(..), EqProp, between)
 import           Xanthous.Util.QuickCheck (GenericArbitrary(..))
 import           Xanthous.Orphans ()
 import           Xanthous.Util.Graphics
+import qualified Linear.Metric as Metric
 --------------------------------------------------------------------------------
 
 -- | opposite ∘ opposite ≡ id
@@ -246,7 +256,7 @@ loc = iso hither yon
 _Position :: Iso' (Position' a) (V2 a)
 _Position = iso hither yon
   where
-    hither (Position px py) = (V2 px py)
+    hither (Position px py) = V2 px py
     yon (V2 lx ly) = Position lx ly
 
 positionFromPair :: (Num a, Integral i, Integral j) => (i, j) -> Position' a
@@ -531,11 +541,28 @@ invertRate (Rate p) = Rate $ 1 / p
 invertedRate :: Iso (a `Per` b) (b' `Per` a') (b `Per` a) (a' `Per` b')
 invertedRate = iso invertRate invertRate
 
+type (:+:) :: Type -> Type -> Type
+type family (:+:) a b where
+  a :+: a       = a
+  a :+: (Uno b) = a
+
+infixl 6 |+|
+class AddUnit a b where
+  (|+|) :: a -> b -> a :+: b
+
+instance Scalar a => AddUnit a a where
+  x' |+| y' = fromScalar $ scalar x' + scalar y'
+
+instance (Scalar a, Scalar b) => AddUnit a (Uno b) where
+  x' |+| y' = fromScalar $ scalar x' + scalar y'
+
 type (:*:) :: Type -> Type -> Type
 type family (:*:) a b where
-  (a `Per` b) :*: b = a
-  (Square a) :*: a = Cubic a
-  a :*: a = Square a
+  (a `Per` b) :*: b     = a
+  (Square a)  :*: a     = Cubic a
+  a           :*: a     = Square a
+  a           :*: Uno b = a
+  a           :*: b     = a :**: b
 
 infixl 7 |*|
 class MulUnit a b where
@@ -550,6 +577,58 @@ instance forall a. (Scalar a, a :*: a ~ Square a) => MulUnit a a where
 instance forall a. (Scalar a) => MulUnit (Square a) a where
   x' |*| y' = Cubic @a . fromScalar $ scalar x' * scalar y'
 
+instance {-# INCOHERENT #-} forall a b.
+  (Scalar a, Scalar b, Scalar (a :*: Uno b))
+    => MulUnit a (Uno b) where
+  x' |*| y' = fromScalar $ scalar x' * scalar y'
+
+type (:/:) :: Type -> Type -> Type
+type family (:/:) a b where
+  (Square a) :/: a          = a
+  (Cubic a)  :/: a          = Square a
+  (Cubic a)  :/: (Square a) = a
+  (a :**: b) :/: b          = a
+  (a :**: b) :/: a          = b
+  a          :/: Uno b      = a
+  a          :/: b          = a `Per` b
+
+infixl 7 |/|
+class DivUnit a b where
+  (|/|) :: a -> b -> a :/: b
+
+instance Scalar a => DivUnit (Square a) a where
+  (Square a) |/| b = fromScalar $ scalar a / scalar b
+
+instance Scalar a => DivUnit (Cubic a) a where
+  (Cubic a) |/| b = fromScalar $ scalar a / scalar b
+
+instance (Scalar a, Cubic a :/: Square a ~ a)
+       => DivUnit (Cubic a) (Square a) where
+  (Cubic a) |/| (Square b) = fromScalar $ scalar a / scalar b
+
+instance (Scalar a, Scalar b) => DivUnit (a :**: b) b where
+  (Times a) |/| b = fromScalar $ scalar a / scalar b
+
+instance (Scalar a, Scalar b) => DivUnit (a :**: b) a where
+  (Times a) |/| b = fromScalar $ scalar a / scalar b
+
+instance {-# INCOHERENT #-} forall a b.
+  (Scalar a, Scalar b, Scalar (a :/: Uno b))
+    => DivUnit a (Uno b) where
+  x' |/| y' = fromScalar $ scalar x' / scalar y'
+
+-- | Dimensionless quantitites (mass per unit mass, radians, etc)
+--
+-- see <https://en.wikipedia.org/wiki/Parts-per_notation#Uno>
+newtype Uno a = Uno a
+  deriving stock (Eq, Generic)
+  deriving anyclass (NFData, CoArbitrary, Function)
+  deriving ( Arbitrary, Num, Ord, Enum, Real, Fractional, ToJSON, FromJSON
+           , Scalar, Show
+           )
+       via a
+  deriving Unit via UnitSymbol "" (Uno a)
+
 newtype Square a = Square a
   deriving stock (Eq, Generic)
   deriving anyclass (NFData, CoArbitrary, Function)
@@ -569,6 +648,9 @@ instance Unit a => Unit (Square a) where
 instance Show a => Show (Square a) where
   show (Square n) = show n <> "²"
 
+squared :: (Scalar a, a :*: a ~ Square a) => a -> Square a
+squared v = v |*| v
+
 newtype Cubic a = Cubic a
   deriving stock (Eq, Generic)
   deriving anyclass (NFData, CoArbitrary, Function)
@@ -588,6 +670,21 @@ instance Unit a => Unit (Cubic a) where
 instance Show a => Show (Cubic a) where
   show (Cubic n) = show n <> "³"
 
+newtype (:**:) a b = Times Double
+  deriving stock (Eq, Generic)
+  deriving anyclass (NFData, CoArbitrary, Function)
+  deriving (Arbitrary, Num, Ord, Enum, Real, Fractional, ToJSON, FromJSON)
+       via Double
+  deriving (Semigroup, Monoid) via Sum Double
+  deriving Show via ShowUnitSuffix (a :**: b) Double
+deriving via Double
+  instance ( Distribution d Double
+           , forall xx yy. Coercible xx yy => Coercible (d xx) (d yy)
+           )
+  => Distribution d (a :**: b)
+
+instance (Unit a, Unit b) => Unit (a :**: b) where
+  unitSuffix = unitSuffix @a <> " " <> unitSuffix @b
 
 --------------------------------------------------------------------------------
 
@@ -626,12 +723,23 @@ type TilesPerTick = Tiles `Per` Ticks
 timesTiles :: TicksPerTile -> Tiles -> Ticks
 timesTiles = (|*|)
 
+-- | Calculate the (cartesian) distance between two 'Position's, floored and
+-- represented as a number of 'Tile's
+--
+-- Note that this is imprecise, and may be different than the length of a
+-- bresenham's line between the points
+distance :: Position -> Position -> Tiles
+distance
+  = (fromScalar .) . (Metric.distance `on` (fmap fromIntegral . view _Position))
+
 --------------------------------------------------------------------------------
 
 newtype Hitpoints = Hitpoints Word
   deriving stock (Eq, Generic)
   deriving anyclass (NFData, CoArbitrary, Function)
-  deriving (Arbitrary, Num, Ord, Bounded, Enum, Integral, Real, ToJSON, FromJSON)
+  deriving ( Arbitrary, Num, Ord, Bounded, Enum, Integral, Real, Scalar
+           , ToJSON, FromJSON
+           )
        via Word
   deriving (Semigroup, Monoid) via Sum Word
   deriving Unit via UnitSymbol "hp" Hitpoints