monotonicity

A city-building and transport simulation game written in Lean

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import Lean.Data.Json
import Raylean

open Raylean Types

namespace Raylean

/-- This is in Raylib but not Raylean so let's just define it ourselves -/
def drawCubeV (pos size : Vector3) (color : Color) :=
  drawCube pos size.x size.y size.z color

def drawCubeWiresV (pos size : Vector3) (color : Color) :=
  drawCubeWires pos size.x size.y size.z color

end Raylean

def fps := 60
def screenWidth := 960
def screenHeight := 640

/-- Grid side length -/
def N := 500

/-- Grid height -/
def M := 20

def origin : Vector3 := N.toFloat / 20, M.toFloat / 20, N.toFloat / 20

instance : Add Vector3 where
  add a b := a.x + b.x, a.y + b.y, a.z + b.z

instance : Sub Vector3 where
  sub a b := a.x - b.x, a.y - b.y, a.z - b.z

instance : HDiv Vector3 Float Vector3 where
  hDiv a b := a.x / b, a.y / b, a.z / b

structure Nat3 where
  x : Nat
  y : Nat
  z : Nat
deriving Lean.ToJson, Lean.FromJson

inductive BuildingVariant
  | house
  | apartment
  | office
  | shop
  | factory
deriving Lean.ToJson, Lean.FromJson

structure Building where
  pos : Nat3
  size : Nat3
  variant : BuildingVariant
deriving Lean.ToJson, Lean.FromJson

def Building.occupants (b : Building) :=
  match b.variant with
  | .house => 1
  | .apartment => b.size.x * b.size.y * b.size.z / 2
  | .office => 0
  | .shop => 0
  | .factory => 0

def Building.color (b : Building) :=
  match b.variant with
  | .house => Color.Raylean.red
  | .apartment => Color.Raylean.orange
  | .office => Color.Raylean.blue
  | .shop => Color.Raylean.purple
  | .factory => Color.Raylean.green

structure Vehicle where
  pos : Nat3
  dest : Nat3


inductive Road
  | none
  | low
  | high
deriving Lean.ToJson, Lean.FromJson

instance [Lean.ToJson α] : Lean.ToJson (Vector α n) where
  toJson := Array.toJson  Vector.toArray

instance [Lean.FromJson α] : Lean.FromJson (Vector α n) where
  fromJson? j := do
    let A : Array α  Array.fromJson? j
    if h : A.size = n then
      return h  A.toVector
    else
      throw s!"expected size {n}, got {A.size}"

structure Point where
  roads : Vector Road 24
  occupant : Option Nat
deriving Lean.ToJson, Lean.FromJson

def Point.empty : Point :=
  .replicate 24 .none, none

abbrev Grid := Vector (Vector (Vector Point (M + 1)) (N + 1)) (N + 1)

structure State where
  day : Nat
  time : Nat
  grid : Grid
  buildings : Array Building
deriving Lean.ToJson, Lean.FromJson

def tick (g : Grid) : Grid := Id.run do
  return g


def myroad : Road := .low

def serialized := Lean.toJson myroad |>.compress

def blah : Except String Road := Lean.Json.parse serialized >>= Lean.fromJson?

def Nat3.toVector3 (p : Nat3) : Vector3 :=
  p.x.toFloat / 10, p.y.toFloat / 10, p.z.toFloat / 10

instance : ToString Vector3 := fun v  s!"({v.1}, {v.2}, {v.3})"

def render (s : State) : IO Unit := do
  for b in s.buildings do
    let p := b.pos.toVector3
    let s := b.size.toVector3
    let o := p - origin + s / 2.0
    drawCubeV o s b.color
    drawCubeWiresV o s .black

def main : IO Unit := do
  -- This constant is FLAG_WINDOW_HIGHDPI || FLAG_WINDOW_RESIZABLE
  -- https://github.com/raysan5/raylib/blob/aaacda6e147031f2af0cfb6c1fd7e64d761ddb1f/src/raylib.h#L567
  setConfigFlags 0x00002004
  initWindow screenWidth screenHeight "LeanTTD"
  setTargetFPS fps
  let mut camera : Camera3D := {
    position := 10, 10, 10
    target := 0, 0, 0
    up := 0, 1, 0
    fovy := 45
    projection := .perspective
  }
  let mut s : State := {
    day := 0
    time := 0
    grid := Vector.replicate _ (Vector.replicate _ (Vector.replicate _ .empty))
    buildings := #[250, 10, 250, 20, 5, 5, .apartment]
  }
  while !( windowShouldClose) do
    camera  updateCamera camera .thirdPerson
    renderFrame do
      drawFPS (screenWidth - 100) 10
      clearBackground Color.white
      renderWithCamera camera do
        drawGrid (N / 20) 1
        render s
  closeWindow