| 1 | open Core.Std |
| 2 | |
| 3 | |
| 4 | let (|-) g f x = f (g x) |
| 5 | |
| 6 | |
| 7 | module Terminal : sig |
| 8 | type color = [ `green |
| 9 | | `red |
| 10 | | `white |
| 11 | ] |
| 12 | |
| 13 | val string_with_color : string -> color -> string |
| 14 | |
| 15 | val clear : unit -> unit |
| 16 | |
| 17 | val reset : unit -> unit |
| 18 | end = struct |
| 19 | type color = [ `green |
| 20 | | `red |
| 21 | | `white |
| 22 | ] |
| 23 | |
| 24 | let ansi_code_clear = "\027[2J" (* Clear screen *) |
| 25 | let ansi_code_reset = "\027[1;1H" (* Reset cursor position *) |
| 26 | |
| 27 | let string_of_color = function |
| 28 | | `green -> "\027[0;32m" |
| 29 | | `red -> "\027[1;31m" |
| 30 | | `white -> "\027[1;37m" |
| 31 | |
| 32 | let string_with_color s c = |
| 33 | sprintf "%s%s\027[0m" (string_of_color c) s |
| 34 | |
| 35 | let clear () = |
| 36 | print_string ansi_code_clear |
| 37 | |
| 38 | let reset () = |
| 39 | print_string ansi_code_reset |
| 40 | end |
| 41 | |
| 42 | |
| 43 | module type MATRIX = sig |
| 44 | module Point : sig |
| 45 | type t = {r : int; k : int} |
| 46 | end |
| 47 | |
| 48 | type 'a t |
| 49 | |
| 50 | val create : rs:int -> ks:int -> 'a -> 'a t |
| 51 | |
| 52 | val get_neighbors : 'a t -> Point.t -> 'a list |
| 53 | |
| 54 | val map : 'a t -> f:('a -> 'b) -> 'b t |
| 55 | |
| 56 | val mapi : 'a t -> f:(Point.t -> 'a -> 'b) -> 'b t |
| 57 | |
| 58 | val iter : 'a t -> f:(Point.t -> 'a -> unit) -> unit |
| 59 | |
| 60 | val print : 'a t -> to_string:('a -> string) -> unit |
| 61 | end |
| 62 | |
| 63 | module Matrix : MATRIX = struct |
| 64 | module Point = struct |
| 65 | type t = {r : int; k : int} |
| 66 | |
| 67 | let (+) p p' = |
| 68 | { r = p.r + p'.r |
| 69 | ; k = p.k + p'.k |
| 70 | } |
| 71 | end |
| 72 | |
| 73 | module Direction = struct |
| 74 | type t = NW | N | NE |
| 75 | | W | E |
| 76 | | SW | S | SE |
| 77 | |
| 78 | let all = [ NW ; N ; NE |
| 79 | ; W ; E |
| 80 | ; SW ; S ; SE |
| 81 | ] |
| 82 | |
| 83 | let to_offset = |
| 84 | let open Point in |
| 85 | function |
| 86 | | NW -> {r = -1; k = -1} |
| 87 | | N -> {r = -1; k = 0} |
| 88 | | NE -> {r = -1; k = 1} |
| 89 | | W -> {r = 0; k = -1} |
| 90 | | E -> {r = 0; k = 1} |
| 91 | | SW -> {r = 1; k = -1} |
| 92 | | S -> {r = 1; k = 0} |
| 93 | | SE -> {r = 1; k = 1} |
| 94 | end |
| 95 | |
| 96 | type 'a t = 'a array array |
| 97 | |
| 98 | let create ~rs ~ks x = |
| 99 | Array.make_matrix ~dimx:rs ~dimy:ks x |
| 100 | |
| 101 | let iter t ~f = |
| 102 | Array.iteri t ~f:( |
| 103 | fun r ks -> |
| 104 | Array.iteri ks ~f:( |
| 105 | fun k x -> |
| 106 | f {Point.r; Point.k} x |
| 107 | ) |
| 108 | ) |
| 109 | |
| 110 | let print t ~to_string = |
| 111 | Array.iter t ~f:( |
| 112 | fun r -> |
| 113 | Array.iter r ~f:(fun x -> printf "%s" (to_string x)); |
| 114 | print_newline () |
| 115 | ) |
| 116 | |
| 117 | let map t ~f = |
| 118 | Array.map t ~f:(Array.map ~f:(fun x -> f x)) |
| 119 | |
| 120 | let mapi t ~f = |
| 121 | Array.mapi t ~f:( |
| 122 | fun r ks -> |
| 123 | Array.mapi ks ~f:( |
| 124 | fun k x -> |
| 125 | f {Point.r; Point.k} x |
| 126 | ) |
| 127 | ) |
| 128 | |
| 129 | let get t {Point.r; Point.k} = |
| 130 | t.(r).(k) |
| 131 | |
| 132 | let is_within_bounds t {Point.r; Point.k} = |
| 133 | match t with |
| 134 | | [||] -> assert false |
| 135 | | t -> |
| 136 | r >= 0 && r < Array.length t && |
| 137 | k >= 0 && k < Array.length t.(0) |
| 138 | |
| 139 | let neighborhood t point = |
| 140 | List.map Direction.all ~f:Direction.to_offset |
| 141 | |> List.map ~f:(fun offset_point -> Point.(point + offset_point)) |
| 142 | |> List.filter ~f:(is_within_bounds t) |
| 143 | |
| 144 | let get_neighbors t point = |
| 145 | List.map (neighborhood t point) ~f:(get t) |
| 146 | end |
| 147 | |
| 148 | |
| 149 | module PhenoType : sig |
| 150 | type t |
| 151 | |
| 152 | val create : char -> Terminal.color option -> t |
| 153 | |
| 154 | val to_string : t -> string |
| 155 | end = struct |
| 156 | type t = { color : Terminal.color option |
| 157 | ; character : char |
| 158 | } |
| 159 | |
| 160 | let create character color = |
| 161 | {color; character} |
| 162 | |
| 163 | let to_string = function |
| 164 | | {color=None; character} -> |
| 165 | String.of_char character |
| 166 | | {color=Some c; character} -> |
| 167 | Terminal.string_with_color (String.of_char character) c |
| 168 | end |
| 169 | |
| 170 | |
| 171 | module Cell = struct |
| 172 | module State = struct |
| 173 | type t = Alive of char |
| 174 | | Dead |
| 175 | end |
| 176 | |
| 177 | type t = { state : State.t |
| 178 | ; pheno : PhenoType.t |
| 179 | } |
| 180 | end |
| 181 | |
| 182 | |
| 183 | module type RULE = sig |
| 184 | val create : unit -> Cell.t |
| 185 | |
| 186 | val transition : self:Cell.State.t |
| 187 | -> neighbors:Cell.State.t list |
| 188 | -> Cell.t |
| 189 | end |
| 190 | |
| 191 | |
| 192 | module Life : RULE = struct |
| 193 | module State : sig |
| 194 | type t = D | A |
| 195 | |
| 196 | val of_int : int -> t |
| 197 | |
| 198 | val to_int : t -> int |
| 199 | |
| 200 | val to_cell : t -> Cell.t |
| 201 | |
| 202 | val of_cell_state : Cell.State.t -> t |
| 203 | end = struct |
| 204 | type t = D | A |
| 205 | |
| 206 | let of_int = function |
| 207 | | 0 -> D |
| 208 | | 1 -> A |
| 209 | | _ -> assert false |
| 210 | |
| 211 | let to_int = function |
| 212 | | D -> 0 |
| 213 | | A -> 1 |
| 214 | |
| 215 | let to_pheno = function |
| 216 | | D -> PhenoType.create ' ' None |
| 217 | | A -> PhenoType.create 'o' (Some `white) |
| 218 | |
| 219 | let of_cell_state = function |
| 220 | | Cell.State.Dead -> D |
| 221 | | Cell.State.Alive 'A' -> A |
| 222 | | Cell.State.Alive _ -> D (* Foreign cell *) |
| 223 | |
| 224 | let to_cell_state = function |
| 225 | | D -> Cell.State.Dead |
| 226 | | A -> Cell.State.Alive 'A' |
| 227 | |
| 228 | let to_cell t = |
| 229 | { Cell.state = t |> to_cell_state |
| 230 | ; Cell.pheno = t |> to_pheno |
| 231 | } |
| 232 | end |
| 233 | |
| 234 | let next state ~live_neighbors = |
| 235 | match state with |
| 236 | | State.A when live_neighbors < 2 -> State.D |
| 237 | | State.A when live_neighbors < 4 -> State.A |
| 238 | | State.A when live_neighbors > 3 -> State.D |
| 239 | | State.D when live_neighbors = 3 -> State.A |
| 240 | | State.A -> State.A |
| 241 | | State.D -> State.D |
| 242 | |
| 243 | let create () = |
| 244 | Random.int 2 |> State.of_int |> State.to_cell |
| 245 | |
| 246 | let live_neighbors neighbors = |
| 247 | neighbors |> List.map ~f:(State.of_cell_state |- State.to_int) |
| 248 | |> List.fold_left ~init:0 ~f:(+) |
| 249 | |
| 250 | let transition ~self ~neighbors = |
| 251 | self |> State.of_cell_state |
| 252 | |> next ~live_neighbors:(live_neighbors neighbors) |
| 253 | |> State.to_cell |
| 254 | end |
| 255 | |
| 256 | |
| 257 | module ForestFire : RULE = struct |
| 258 | module State : sig |
| 259 | type t = E | T | B |
| 260 | |
| 261 | val is_burning : t -> bool |
| 262 | |
| 263 | val of_int : int -> t |
| 264 | |
| 265 | val to_int : t -> int |
| 266 | |
| 267 | val to_cell : t -> Cell.t |
| 268 | |
| 269 | val of_cell_state : Cell.State.t -> t |
| 270 | end = struct |
| 271 | type t = E | T | B |
| 272 | |
| 273 | let is_burning = function |
| 274 | | E -> false |
| 275 | | T -> false |
| 276 | | B -> true |
| 277 | |
| 278 | let of_int = function |
| 279 | | 0 -> E |
| 280 | | 1 -> T |
| 281 | | 2 -> B |
| 282 | | _ -> assert false |
| 283 | |
| 284 | let to_int = function |
| 285 | | E -> 0 |
| 286 | | T -> 1 |
| 287 | | B -> 2 |
| 288 | |
| 289 | let to_pheno = function |
| 290 | | E -> PhenoType.create ' ' None |
| 291 | | T -> PhenoType.create 'T' (Some `green) |
| 292 | | B -> PhenoType.create '#' (Some `red) |
| 293 | |
| 294 | let of_cell_state = function |
| 295 | | Cell.State.Dead -> E |
| 296 | | Cell.State.Alive 'T' -> T |
| 297 | | Cell.State.Alive 'B' -> B |
| 298 | | Cell.State.Alive _ -> E (* Foreign cell *) |
| 299 | |
| 300 | let to_cell_state = function |
| 301 | | E -> Cell.State.Dead |
| 302 | | T -> Cell.State.Alive 'T' |
| 303 | | B -> Cell.State.Alive 'B' |
| 304 | |
| 305 | let to_cell t = |
| 306 | { Cell.state = t |> to_cell_state |
| 307 | ; Cell.pheno = t |> to_pheno |
| 308 | } |
| 309 | end |
| 310 | |
| 311 | let create () = |
| 312 | Random.int 3 |> State.of_int |> State.to_cell |
| 313 | |
| 314 | let f = 0.000001 (* Probability of spontaneous ignition *) |
| 315 | let p = 0.1 (* Probability of spontaneous growth *) |
| 316 | |
| 317 | let is_probable p = |
| 318 | (Random.float 1.0) <= p |
| 319 | |
| 320 | let next state ~burning_neighbors = |
| 321 | match state, burning_neighbors with |
| 322 | | State.E, _ when is_probable p -> State.T |
| 323 | | State.E, _ -> State.E |
| 324 | | State.T, 0 when is_probable f -> State.B |
| 325 | | State.T, _ when burning_neighbors > 0 -> State.B |
| 326 | | State.T, _ -> State.T |
| 327 | | State.B, _ -> State.E |
| 328 | |
| 329 | let burning_neighbors neighbors = |
| 330 | neighbors |> List.map ~f:State.of_cell_state |
| 331 | |> List.filter ~f:State.is_burning |
| 332 | |> List.map ~f:State.to_int |
| 333 | |> List.fold_left ~init:0 ~f:(+) |
| 334 | |
| 335 | let transition ~self ~neighbors = |
| 336 | self |> State.of_cell_state |
| 337 | |> next ~burning_neighbors:(burning_neighbors neighbors) |
| 338 | |> State.to_cell |
| 339 | end |
| 340 | |
| 341 | |
| 342 | module Automaton : sig |
| 343 | type t |
| 344 | |
| 345 | val create : rows:int |
| 346 | -> columns:int |
| 347 | -> interval:float |
| 348 | -> rules: (module RULE) list |
| 349 | -> t |
| 350 | |
| 351 | val loop : t -> unit |
| 352 | end = struct |
| 353 | type cell = { data : Cell.t |
| 354 | ; rule : (module RULE) |
| 355 | } |
| 356 | |
| 357 | type t = { grid : cell Matrix.t |
| 358 | ; interval : Time.Span.t |
| 359 | ; bar : string |
| 360 | } |
| 361 | |
| 362 | let create ~rows:rs ~columns:ks ~interval ~rules = |
| 363 | let n = List.length rules in |
| 364 | let init () = |
| 365 | let rule = List.nth_exn rules (Random.int n) in |
| 366 | let module Rule = (val rule : RULE) in |
| 367 | { rule |
| 368 | ; data = Rule.create () |
| 369 | } |
| 370 | in |
| 371 | Terminal.clear (); |
| 372 | { grid = Matrix.map ~f:init (Matrix.create ~rs ~ks ()) |
| 373 | ; interval = Time.Span.of_float interval |
| 374 | ; bar = String.make ks '-' |
| 375 | } |
| 376 | |
| 377 | let cell_to_string cell = |
| 378 | PhenoType.to_string cell.data.Cell.pheno |
| 379 | |
| 380 | let print t = |
| 381 | Terminal.reset (); |
| 382 | print_endline t.bar; |
| 383 | Matrix.print t.grid ~to_string:cell_to_string; |
| 384 | print_endline t.bar |
| 385 | |
| 386 | let next t = |
| 387 | let grid = |
| 388 | Matrix.mapi t.grid ~f:( |
| 389 | fun point {rule; data} -> |
| 390 | let module Rule = (val rule : RULE) in |
| 391 | let neighbors = Matrix.get_neighbors t.grid point in |
| 392 | let data = |
| 393 | Rule.transition |
| 394 | ~self:data.Cell.state |
| 395 | ~neighbors:(List.map neighbors ~f:(fun c -> c.data.Cell.state)) |
| 396 | in |
| 397 | {rule; data} |
| 398 | ) |
| 399 | in |
| 400 | {t with grid} |
| 401 | |
| 402 | let rec loop t = |
| 403 | print t; |
| 404 | Time.pause t.interval; |
| 405 | loop (next t) |
| 406 | end |
| 407 | |
| 408 | |
| 409 | let main interval () = |
| 410 | Random.self_init (); |
| 411 | let rows, columns = Or_error.ok_exn Linux_ext.get_terminal_size () in |
| 412 | let rules = |
| 413 | [ (module Life : RULE) |
| 414 | ; (module ForestFire : RULE) |
| 415 | ] |
| 416 | in |
| 417 | Automaton.loop (Automaton.create ~rows:(rows - 3) ~columns ~interval ~rules) |
| 418 | |
| 419 | |
| 420 | let spec = |
| 421 | let summary = "Polymorphic Cellular Automata" in |
| 422 | let spec = Command.Spec.(empty |
| 423 | +> flag "-i" (optional_with_default 0.1 float) |
| 424 | ~doc:" Induced interval between generations." |
| 425 | ) |
| 426 | in |
| 427 | Command.basic ~summary spec main |
| 428 | |
| 429 | |
| 430 | let () = Command.run spec |