├── .gitignore ├── .travis.yml ├── LICENSE ├── Make ├── README.md ├── configure.sh ├── coq-bonsai.install ├── coq-bonsai.opam ├── extraction ├── .gitignore └── Makefile ├── screenshot.png └── src └── Main.v /.gitignore: -------------------------------------------------------------------------------- 1 | Makefile 2 | Makefile.conf 3 | .*.aux 4 | .*.d 5 | *.a 6 | *.cma 7 | *.cmi 8 | *.cmo 9 | *.cmx 10 | *.cmxa 11 | *.cmxs 12 | *.glob 13 | *.ml.d 14 | *.ml4.d 15 | *.mli.d 16 | *.mllib.d 17 | *.mlpack.d 18 | *.native 19 | *.o 20 | *.v.d 21 | *.vio 22 | *.vo 23 | *.vok 24 | *.vos 25 | .coq-native/ 26 | .csdp.cache 27 | .lia.cache 28 | .nia.cache 29 | .nlia.cache 30 | .nra.cache 31 | csdp.cache 32 | lia.cache 33 | nia.cache 34 | nlia.cache 35 | nra.cache 36 | -------------------------------------------------------------------------------- /.travis.yml: -------------------------------------------------------------------------------- 1 | dist: trusty 2 | sudo: required 3 | language: generic 4 | 5 | services: 6 | - docker 7 | 8 | env: 9 | global: 10 | - PACKAGE_NAME="coq-bonsai" 11 | matrix: 12 | - COQ_IMAGE="coqorg/coq:8.4" SHOULD_SUPPORT="false" 13 | - COQ_IMAGE="coqorg/coq:8.5" SHOULD_SUPPORT="false" 14 | - COQ_IMAGE="coqorg/coq:8.6" SHOULD_SUPPORT="false" 15 | - COQ_IMAGE="coqorg/coq:8.7" SHOULD_SUPPORT="false" 16 | - COQ_IMAGE="coqorg/coq:8.8" SHOULD_SUPPORT="true" 17 | - COQ_IMAGE="coqorg/coq:8.9" SHOULD_SUPPORT="true" 18 | - COQ_IMAGE="coqorg/coq:8.10" SHOULD_SUPPORT="true" 19 | 20 | install: | 21 | # Prepare the COQ container 22 | docker pull ${COQ_IMAGE} 23 | docker run -d -i --init --name=COQ -v ${TRAVIS_BUILD_DIR}:/home/project -w /home/project ${COQ_IMAGE} 24 | docker exec COQ /bin/bash --login -c " 25 | # This bash script is double-quoted to interpolate Travis CI env vars: 26 | echo \"Build triggered by ${TRAVIS_EVENT_TYPE}\" 27 | export PS4='+ \e[33;1m(\$0 @ line \$LINENO) \$\e[0m ' 28 | set -ex # -e = exit on failure; -x = trace for debug 29 | opam update 30 | opam pin add ${PACKAGE_NAME}.opam . --kind=path --no-action -y 31 | opam config list 32 | opam repo list 33 | opam pin list 34 | opam list 35 | " install 36 | script: 37 | - echo -e "${ANSI_YELLOW}Building...${ANSI_RESET}" && echo -en 'travis_fold:start:script\\r' 38 | - | 39 | docker exec COQ /bin/bash --login -c " 40 | export PS4='+ \e[33;1m(\$0 @ line \$LINENO) \$\e[0m ' 41 | set -ex 42 | sudo chown -R coq:coq /home/project 43 | # Check if the package is compatible with the current environment 44 | if [ "${SHOULD_SUPPORT}" = "true" ] || opam install ${PACKAGE_NAME} --show-action; then 45 | # First install the dependencies 46 | opam install ${PACKAGE_NAME} --deps-only -y 47 | opam list 48 | # Then install the package itself in verbose mode 49 | opam install ${PACKAGE_NAME} -v 50 | # Check that the binary is installed 51 | which coq-bonsai 52 | fi; 53 | " script 54 | - docker stop COQ # optional 55 | - echo -en 'travis_fold:end:script\\r' 56 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | 635 | Copyright (C) 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | Copyright (C) 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /Make: -------------------------------------------------------------------------------- 1 | -R src Bonsai 2 | 3 | src/Main.v 4 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # coq-bonsai 2 | > 🌳 Generate a random bonsai in your terminal 3 | 4 | ![screenshot](https://raw.githubusercontent.com/clarus/coq-bonsai/master/screenshot.png) 5 | 6 | Inspired by [bonsai.sh](https://gitlab.com/jallbrit/bonsai.sh). Written in [Coq](https://coq.inria.fr/). 7 | 8 | Add the Coq's [opam repository](https://github.com/coq/opam-coq-archive): 9 | ```sh 10 | opam repo add coq-released https://coq.inria.fr/opam/released 11 | ``` 12 | 13 | Install: 14 | ```sh 15 | opam install coq-bonsai 16 | ``` 17 | 18 | Run: 19 | ```sh 20 | coq-bonsai 21 | ``` 22 | 23 | You can add it to your terminal's startup file (like `~/.bashrc`) so that you always start your terminal sessions with a fresh bonsai. 24 | -------------------------------------------------------------------------------- /configure.sh: -------------------------------------------------------------------------------- 1 | #!/bin/sh 2 | 3 | coq_makefile -f Make -o Makefile 4 | -------------------------------------------------------------------------------- /coq-bonsai.install: -------------------------------------------------------------------------------- 1 | bin: [ 2 | "extraction/main.native" {"coq-bonsai"} 3 | ] 4 | -------------------------------------------------------------------------------- /coq-bonsai.opam: -------------------------------------------------------------------------------- 1 | opam-version: "2.0" 2 | maintainer: "dev@clarus.me" 3 | homepage: "https://github.com/foobar-land/coq-bonsai" 4 | dev-repo: "git+https://github.com/foobar-land/coq-bonsai.git" 5 | bug-reports: "https://github.com/foobar-land/coq-bonsai/issues" 6 | authors: ["Guillaume Claret"] 7 | license: "GPL-3.0-only" 8 | build: [ 9 | ["./configure.sh"] 10 | [make "-j%{jobs}%"] 11 | [make "-C" "extraction"] 12 | ] 13 | depends: [ 14 | "coq" {>= "8.13.0"} 15 | "coq-list-string" 16 | "coq-simple-io" 17 | "ocaml" 18 | "ocamlbuild" {build} 19 | ] 20 | tags: [ 21 | "category:Misc/Logical Puzzles and Entertainment" 22 | "keyword:bonsai" 23 | "keyword:effects" 24 | "keyword:extraction" 25 | ] 26 | synopsis: "Generate a fresh Bonsai on your terminal" 27 | -------------------------------------------------------------------------------- /extraction/.gitignore: -------------------------------------------------------------------------------- 1 | *.ml 2 | *.mli 3 | *.native 4 | _build/ 5 | -------------------------------------------------------------------------------- /extraction/Makefile: -------------------------------------------------------------------------------- 1 | build: 2 | ocamlbuild main.native 3 | 4 | clean: 5 | ocamlbuild -clean 6 | -------------------------------------------------------------------------------- /screenshot.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/formal-land/coq-bonsai/57d7301552e098334efd5ab0ad443142a24240b7/screenshot.png -------------------------------------------------------------------------------- /src/Main.v: -------------------------------------------------------------------------------- 1 | (* 2 | Bonsai generator for the terminal 3 | 4 | Copyright (C) 2019 Guillaume Claret 5 | Copyright (C) 2019 John Allbritten 6 | 7 | This program is free software: you can redistribute it and/or modify 8 | it under the terms of the GNU General Public License as published by 9 | the Free Software Foundation, either version 3 of the License, or 10 | (at your option) any later version. 11 | 12 | This program is distributed in the hope that it will be useful, 13 | but WITHOUT ANY WARRANTY; without even the implied warranty of 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 15 | GNU General Public License for more details. 16 | 17 | You should have received a copy of the GNU General Public License 18 | along with this program. If not, see . 19 | *) 20 | 21 | Require Import Coq.Lists.List. 22 | Require Import Coq.Strings.Ascii. 23 | Require Import Coq.Strings.String. 24 | Require Import Coq.ZArith.ZArith. 25 | Require Import ListString.All. 26 | Require Import SimpleIO.SimpleIO. 27 | Require SimpleIO.IO_Random. 28 | Require Coq.extraction.ExtrOcamlIntConv. 29 | 30 | Import ListNotations. 31 | 32 | Local Open Scope bool. 33 | Local Open Scope string. 34 | Local Open Scope list. 35 | 36 | Notation "x ^^ y" := (String.append x y) (right associativity, at level 60). 37 | 38 | Definition columns := 50. 39 | Definition rows := 28. 40 | Definition lifeStart := 28. 41 | Definition multiplier := 5. 42 | Definition branchesMax := multiplier * 110. 43 | Definition shootsMax := multiplier. 44 | 45 | Module Random. 46 | Definition t : Set := N * N. 47 | 48 | Definition seed : t := (2, 2) % N. 49 | 50 | Definition M : N := 1000. 51 | 52 | Definition next (seed : t) : t := 53 | let '(n, n') := seed in 54 | let n'' := N.modulo (n + n') M in 55 | (n', n''). 56 | End Random. 57 | 58 | Module M. 59 | Definition t (A : Set) : Set := 60 | Random.t -> A * Random.t. 61 | 62 | Definition ret {A : Set} (x : A) : t A := 63 | fun seed => (x, seed). 64 | 65 | Definition bind {A B : Set} (x : t A) (f : A -> t B) : t B := 66 | fun seed => 67 | let '(x', seed') := x seed in 68 | f x' seed'. 69 | 70 | Definition random (n : nat) : t nat := 71 | fun seed => 72 | let seed' := Random.next seed in 73 | let result := N.to_nat (N.modulo (fst seed) (N.of_nat n)) in 74 | (result, seed'). 75 | 76 | Definition run {A : Set} (x : t A) (seed : Random.t) : A := 77 | fst (x seed). 78 | End M. 79 | 80 | Notation "'let*' x ':=' X 'in' Y" := 81 | (M.bind X (fun x => Y)) 82 | (at level 200, x pattern, X at level 100, Y at level 200). 83 | 84 | Definition new_line := " 85 | ". 86 | 87 | Module Colors. 88 | Definition escape : string -> string := String (ascii_of_nat 27). 89 | Definition LightBrown := escape "[38;5;172m". 90 | Definition DarkBrown := escape "[38;5;130m". 91 | Definition BrownGreen := escape "[38;5;142m". 92 | Definition Green := escape "[38;5;106m". 93 | Definition Gray := escape "[38;5;243m". 94 | Definition R := escape "[0m". 95 | End Colors. 96 | 97 | Module Base. 98 | Definition width := 15. 99 | Definition art_lines : list string := [ 100 | Colors.Gray ^^ ":" ^^ Colors.Green ^^ "___________" ^^ Colors.DarkBrown ^^ 101 | "./~~\." ^^ Colors.Green ^^ "___________" ^^ Colors.Gray ^^ ":"; 102 | " \ /"; 103 | " \________________________/"; 104 | " (_) (_)" 105 | ]. 106 | Definition art_lines_with_shift : list LString.t := 107 | List.map (fun art_line => 108 | LString.repeat (LString.s " ") (Nat.div2 columns - width) ++ 109 | LString.s art_line 110 | ) art_lines. 111 | End Base. 112 | 113 | Module List. 114 | Fixpoint apply_ith {A : Type} (l : list A) (index : nat) (f : A -> A) 115 | : list A := 116 | match l with 117 | | nil => nil 118 | | cons x l => 119 | match index with 120 | | O => cons (f x) l 121 | | S index => cons x (apply_ith l index f) 122 | end 123 | end. 124 | End List. 125 | 126 | Module Grid. 127 | Inductive Typ : Set := 128 | | Dead 129 | | Dying 130 | | ShootLeft 131 | | ShootRight 132 | | Trunk. 133 | 134 | Definition isShoot (typ : Typ) : bool := 135 | match typ with 136 | | ShootLeft | ShootRight => true 137 | | _ => false 138 | end. 139 | 140 | Definition isTrunk (typ : Typ) : bool := 141 | match typ with 142 | | Trunk => true 143 | | _ => false 144 | end. 145 | 146 | Record t : Set := { 147 | pixels : list (list (string * option string)); 148 | trace : list (nat * nat * Typ * option string) 149 | }. 150 | 151 | Definition init : t := {| 152 | pixels := List.repeat (List.repeat (Colors.R, None) columns) rows; 153 | trace := [] 154 | |}. 155 | 156 | Definition set (grid : t) (x y : nat) (typ : Typ) (color : string) 157 | (chars : option string) : t := 158 | {| 159 | pixels := 160 | List.apply_ith grid.(pixels) y (fun line => 161 | List.apply_ith line x (fun _ => (color, chars)) 162 | ); 163 | trace := cons (x, y, typ, chars) grid.(trace) 164 | |}. 165 | 166 | (* Get dy based on type. *) 167 | Definition get_dy (y : nat) (typ : Typ) (life : nat) : M.t Z := 168 | let* rand10 := M.random 10 in 169 | let dy := 170 | match typ with 171 | | Dying => 172 | match rand10 with 173 | | 0 | 1 => (-1) % Z 174 | | 9 => 1 % Z 175 | | _ => 0 % Z 176 | end 177 | | ShootLeft | ShootRight => 178 | match rand10 with 179 | | 0 | 1 => (-1) % Z 180 | | 8 | 9 => 1 % Z 181 | | _ => 0 % Z 182 | end 183 | | _ => 184 | if negb (Nat.eqb life lifeStart) && Nat.ltb 2 rand10 then 185 | (-1) % Z 186 | else 187 | 0 % Z 188 | end in 189 | (* If we're about to hit the ground, cut it off. *) 190 | if 191 | (Z.gtb dy 0 && Nat.ltb y (rows - 1)) || (isTrunk typ && Nat.ltb life 4) 192 | then 193 | M.ret (0 % Z) 194 | else 195 | M.ret dy. 196 | 197 | (* Get dx based on type. *) 198 | Definition get_dx (typ : Typ) : M.t Z := 199 | match typ with 200 | | ShootLeft => (* tend left: dx=[-2,1] *) 201 | let* rand10 := M.random 10 in 202 | M.ret match rand10 with 203 | | 0 | 1 => (-2) % Z 204 | | 2 | 3 | 4 | 5 => (-1) % Z 205 | | 6 | 7 | 8 => 0 % Z 206 | | _ => 1 % Z 207 | end 208 | | ShootRight => (* tend right: dx=[-1,2] *) 209 | let* rand10 := M.random 10 in 210 | M.ret match rand10 with 211 | | 0 | 1 => 2 % Z 212 | | 2 | 3 | 4 | 5 => 1 % Z 213 | | 6 | 7 | 8 => 0 % Z 214 | | _ => (-1) % Z 215 | end 216 | | Dying => (* tend left/right: dx=[-3,3] *) 217 | let* rand7 := M.random 7 in 218 | M.ret (Z.of_nat rand7 - 2) % Z 219 | | _ => (* tend equal: dx=[-1,1] *) 220 | let* rand3 := M.random 3 in 221 | M.ret (Z.of_nat rand3 - 1) % Z 222 | end. 223 | 224 | Fixpoint branch (grid : t) (branches : nat) (shoots : nat) 225 | (isShootRight : bool) (x y : nat) (typ : Typ) (life : nat) (fuel : nat) 226 | {struct fuel} : M.t t := 227 | match life, fuel with 228 | | O, _ | _, O => M.ret grid 229 | | S life, S fuel => 230 | let* dy := get_dy y typ life in 231 | let* dx := get_dx typ in 232 | let branches := branches + 1 in 233 | (* Re-branch upon conditions. *) 234 | let* (grid, shoots, isShootRight) := 235 | let current := (grid, shoots, isShootRight) in 236 | if Nat.ltb branches branchesMax then 237 | let* rand16_multiplier := M.random (16 - multiplier) in 238 | (* Branch is dead. *) 239 | if Nat.ltb life 3 then 240 | let* grid := branch grid branches shoots isShootRight x y Dead life fuel in 241 | M.ret (grid, shoots, isShootRight) 242 | (* Branch is dying and needs to branch into leaves. *) 243 | else if (isShoot typ || isTrunk typ) && Nat.ltb life (multiplier + 2) then 244 | let* grid := branch grid branches shoots isShootRight x y Dying life fuel in 245 | M.ret (grid, shoots, isShootRight) 246 | (* Re-branch if: not close to the base AND (pass a chance test OR be a trunk, 247 | not have too many shoots already, and not be about to die) *) 248 | else if 249 | isTrunk typ && Nat.ltb life (lifeStart - 8) && 250 | ( 251 | Nat.eqb rand16_multiplier 0 || 252 | (Nat.eqb (Nat.modulo life 5) 0 && Nat.ltb 5 life) 253 | ) 254 | then 255 | (* If a trunk is splitting and not about to die, chance to create another trunk *) 256 | let* rand3 := M.random 3 in 257 | if Nat.eqb rand3 0 && Nat.ltb 7 life then 258 | let* grid := branch grid branches shoots isShootRight x y Trunk life fuel in 259 | M.ret (grid, shoots, isShootRight) 260 | else if Nat.ltb shoots shootsMax then 261 | (* Give the shoot some life. *) 262 | let life := life + multiplier - 2 in 263 | 264 | (* Shoots alternate from the first. *) 265 | let isShootRight := negb isShootRight in 266 | let typ := if isShootRight then ShootRight else ShootLeft in 267 | let* grid := branch grid branches shoots isShootRight x y typ life fuel in 268 | M.ret (grid, shoots + 1, isShootRight) 269 | else 270 | M.ret current 271 | else 272 | M.ret current 273 | else 274 | M.ret current in 275 | (* Implement dx, dy. *) 276 | let x := Z.to_nat (Z.of_nat x + dx) in 277 | let y := Z.to_nat (Z.of_nat y + dy) in 278 | (* Choose color. *) 279 | let* rand4 := M.random 4 in 280 | let color := 281 | match typ with 282 | | ShootLeft | ShootRight | Trunk => 283 | if Nat.eqb rand4 0 then 284 | Colors.LightBrown 285 | else 286 | Colors.DarkBrown 287 | | Dying => Colors.BrownGreen 288 | | Dead => Colors.Green 289 | end in 290 | (* Choose branch character. *) 291 | let chars : option string := 292 | match typ with 293 | | Trunk => 294 | let chars := 295 | if Z.ltb dx 0 then 296 | "λ" 297 | else if Z.eqb dx 0 then 298 | "/|" 299 | else 300 | "/" in 301 | if Z.eqb dy 0 then 302 | Some "/~" 303 | else 304 | Some chars 305 | (* Shoots tend to look horizontal. *) 306 | | ShootLeft => 307 | let chars := 308 | if Z.ltb dx 0 then 309 | "\|" 310 | else if Z.eqb dx 0 then 311 | "/|" 312 | else 313 | "/" in 314 | (* growing down *) 315 | if Z.gtb dy 0 then 316 | Some "/" 317 | (* not growing *) 318 | else if Z.eqb dy 0 then 319 | Some "\_" 320 | else 321 | Some chars 322 | | ShootRight => 323 | let chars := 324 | if Z.ltb dx 0 then 325 | "\|" 326 | else if Z.eqb dx 0 then 327 | "/|" 328 | else 329 | "/" in 330 | (* growing down *) 331 | if Z.gtb dy 0 then 332 | Some "\" 333 | (* not growing *) 334 | else if Z.eqb dy 0 then 335 | Some "_/" 336 | else 337 | Some chars 338 | | _ => None 339 | end in 340 | (* Choose leaf character. *) 341 | let chars := 342 | if Nat.ltb life 4 then 343 | Some "&" 344 | else 345 | chars in 346 | (* Add character(s) to our grid. *) 347 | let grid := set grid x y typ color chars in 348 | branch grid branches shoots isShootRight x y typ life fuel 349 | end. 350 | 351 | Definition grow : M.t t := 352 | let* rand2 := M.random 2 in 353 | let isShootRight := Nat.eqb rand2 0 in 354 | let fuel := columns * rows in 355 | branch init 0 0 isShootRight (Nat.div2 columns) rows Trunk lifeStart fuel. 356 | 357 | Definition to_string (grid : t) : LString.t := 358 | List.concat 359 | (List.map (fun line => 360 | List.concat (List.map (fun '(color, chars) => 361 | let chars := 362 | match chars with 363 | | None => " " 364 | | Some chars => chars 365 | end in 366 | LString.s (color ^^ chars)) line 367 | ) ++ LString.s new_line 368 | ) 369 | grid.(pixels) 370 | ). 371 | End Grid. 372 | 373 | Import IO.Notations. 374 | 375 | Definition main : IO unit := 376 | let random_max := ExtrOcamlIntConv.int_of_z 32768 in 377 | IO_Random.ORandom.self_init tt;; 378 | n <- IO_Random.ORandom.int random_max;; 379 | m <- IO_Random.ORandom.int random_max;; 380 | let seed := (ExtrOcamlIntConv.n_of_int n, ExtrOcamlIntConv.n_of_int m) in 381 | let grid := M.run Grid.grow seed in 382 | let message := 383 | Grid.to_string grid ++ 384 | LString.join (LString.s new_line) Base.art_lines_with_shift ++ 385 | LString.s Colors.R in 386 | print_endline (LString.to_string message). 387 | 388 | Definition run_main := IO.unsafe_run main. 389 | 390 | (** Extract the Bonsai program to `extraction/main.ml`. Run the `Makefile` 391 | in `extraction/` to compile it. *) 392 | Extraction "extraction/main" run_main. 393 | --------------------------------------------------------------------------------