54 Commits

Author SHA1 Message Date
8995efce15 Release 0.6.0
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2025-01-23 16:44:14 -06:00
03e2f6b93e Some special characters in ids; new demos
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Adds support for several special characters in identifiers. Adds a demo
for converting values to source code and another for checking equality.
Updates the existing demo and tests to reflect new names for functions
returning booleans.
2025-01-23 15:46:40 -06:00
419d66b4d1 All paths for caching cabal included :)
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2025-01-21 17:00:20 -06:00
4b98afd803 Use runner 0.1.0
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2025-01-21 16:49:15 -06:00
0768e11a02 Update Cabal caching path
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2025-01-21 16:48:29 -06:00
42fce0ae43 Drop unreachable cases of updateDepth
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2025-01-21 16:16:04 -06:00
51b1eb070f Add more explicit error handling for mismatched groupings 2025-01-21 16:06:10 -06:00
c2e5a8985a Inline pattern matching in Parser 2025-01-21 14:21:47 -06:00
9d7e4daa41 CI/CD for tests and builds (broken caching)
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2025-01-21 13:29:52 -06:00
edde0a80c9 Actually readable Level Order Traversal 2025-01-20 20:10:14 -06:00
35163a5d54 Allow multiline expressions 2025-01-20 19:20:29 -06:00
ca7f09e2ac Eliminate redundant eager calls of elimLambda 2025-01-20 16:05:06 -06:00
82e29440b0 Reduce duplication of elimLambda calls 2025-01-20 15:16:27 -06:00
ad02c8b86a General refactor for legibility
Priming to update all source to lhs and document extensively
2025-01-19 14:41:25 -06:00
a3282b794f 0.5.0 release commit 2025-01-06 09:14:04 -06:00
7b9a62462c Level Order Traversal demo 2025-01-03 12:00:06 -06:00
3eb28a2c62 Drop parseVarWithoutAssignment
Additionally sorts gitignore and adds attempted decoding of lists back
to the REPL
2025-01-03 10:31:35 -06:00
8c33e5ce66 Fix critical list evaluation bug and REPL updates 2025-01-02 19:08:14 -06:00
76487b15f9 Use better default output form in evaluator 2025-01-01 19:40:12 -06:00
18ff2d2e04 Clarify CLI options 2025-01-01 19:32:41 -06:00
fff29199d1 Support evaluation across multiple source files 2025-01-01 19:27:04 -06:00
a2c459b148 Provide "library" via tricu file directly
Allows easier loading of other files and drops the list of Haskell
strings containing the basic tools included
2025-01-01 18:53:56 -06:00
39be66a4d1 Fixes identifier lexing; support REPL file loading 2025-01-01 18:05:21 -06:00
bf58c9afbd Normalize CLI options and help display 2025-01-01 08:34:17 -06:00
7d38d99dcd Rename "compiler" functionality to Evaluator
Allows for stdin input for evaluation when no input file is provided.
2025-01-01 08:23:53 -06:00
458d3c3b10 Latest --help in README 2024-12-31 10:09:36 -06:00
0048fed6b4 Merge pull request 'Add "SimpleT" t output form' (#9) from feat/new-outputs into main
Reviewed-on: #9
2024-12-31 16:05:38 +00:00
476c3912a4 Merge branch 'main' into feat/new-outputs 2024-12-31 16:04:32 +00:00
493ef51a6a Add "SimpleT" t output form
This new output form allows easy piping to the decode function of the
tricu executable. Includes a new test for roundtrip evaluation of map,
compilation to tree calculus terms, and decoding back to a human
readable string.
2024-12-31 10:00:52 -06:00
e22ff06bfe Merge pull request 'Expands CLI support with output forms and decoding' (#7) from feat/ternary-representation into main
Reviewed-on: #7
2024-12-30 20:24:27 +00:00
5e2a4dff50 Expands CLI support with output forms and decoding
Adds CLI options for compiling to a Tree Calculus, AST, Ternary, and
ASCII tree view. Adds CLI command for attempted decoding of a compiled
result to Number/String/List.
2024-12-30 14:22:37 -06:00
8622af9ad2 Initial ternary representation options
Both parsing and conversion from T to ternary representation supported
2024-12-30 08:30:40 -06:00
fe70aa72ac Merge pull request 'Adds "compiler" and CLI argument handling' (#3) from feature/compiler-CLI into main
Reviewed-on: #3
2024-12-30 03:51:59 +00:00
2abeab9c04 Adds "compiler" and CLI argument handling 2024-12-29 21:49:57 -06:00
467e11edb3 Updates to tests
Uncomments a test for comment parsing behavior and removes a test for
incomplete function definitions.
2024-12-29 21:09:02 -06:00
38509724b1 Merge pull request 'Resolves issue with parsing comments' (#2) from fix/comments-0001 into main
Reviewed-on: #2
2024-12-30 03:03:39 +00:00
a8f72290a2 Resolves issue with parsing comments 2024-12-29 21:02:38 -06:00
b86ff6e9b8 Additional tests 2024-12-29 12:22:24 -06:00
a7674d4635 README updates for run/build 2024-12-29 10:41:04 -06:00
14fdb741dc README clarifications 2024-12-29 10:37:37 -06:00
60a9e3c1ee Expansion of testing suite to cover incl. library
Expands the testing suite to verify behavior of provided library
functions. Updates the README further for clarification on important
concepts.
2024-12-29 10:28:32 -06:00
c30f17367f Rename from sapling to tricu 2024-12-29 08:29:25 -06:00
064bed26c5 Further README clarification 2024-12-28 22:20:43 -06:00
ff2952010f README updates 2024-12-28 21:58:52 -06:00
e376d13a93 Stop using to/of conventions backwards 2024-12-28 07:24:19 -06:00
2e539eb545 Support for single line comment syntax using -- 2024-12-28 07:15:34 -06:00
14b95f90b5 Update README and REPL formatting for list outputs 2024-12-27 20:54:30 -06:00
d804a114bb Update lambda handling; better default decode out 2024-12-27 20:46:30 -06:00
44e2169cdb Further library additions and REPL updates 2024-12-27 19:27:04 -06:00
c820eda816 Include equality testing in basic library 2024-12-27 16:30:32 -06:00
e835caabbc Minor fix to REPL output for numbers
Uses # instead of text output. Adds several basic library functions.
2024-12-27 16:09:54 -06:00
0dd14a3aea Automatic decoding of supported literals in REPL
Automatic decoding & display of string, number, and list types in REPL.
General updates to README, style, and comments.
2024-12-27 15:40:50 -06:00
4495f8eba0 Tests and better default REPL behavior 2024-12-27 14:10:13 -06:00
dbb5227fbc Somewhat working lambdas
Architectural changes to lambda evaluation and parsing to allow
for correct expression evaluation. Contains several failing AI-generated
tests and we're still failing tests for erroring incomplete definitions
2024-12-27 13:21:30 -06:00
24 changed files with 1515 additions and 756 deletions

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@ -0,0 +1,86 @@
name: Test, Build, and Release
on:
push:
tags:
- '*'
jobs:
test:
container:
image: docker.matri.cx/nix-runner:v0.1.0
credentials:
username: ${{ secrets.REGISTRY_USERNAME }}
password: ${{ secrets.REGISTRY_PASSWORD }}
steps:
- uses: actions/checkout@v3
with:
fetch-depth: 0
- name: Set up cache for Cabal
uses: actions/cache@v4
with:
path: |
~/.cache/cabal
~/.config/cabal
~/.local/state/cabal
key: cabal-${{ hashFiles('tricu.cabal') }}
restore-keys: |
cabal-
- name: Set up cache for Nix
uses: actions/cache@v4
with:
path: |
/nix/store
/nix/var/nix/cache
key: nix-${{ hashFiles('flake.lock') }}
restore-keys: |
nix-
- name: Initialize Cabal and update package list
run: |
nix develop --command cabal update
- name: Run test suite
run: |
nix develop --command cabal test
build:
needs: test
container:
image: docker.matri.cx/nix-runner:v0.1.0
credentials:
username: ${{ secrets.REGISTRY_USERNAME }}
password: ${{ secrets.REGISTRY_PASSWORD }}
steps:
- uses: actions/checkout@v3
with:
fetch-depth: 0
- name: Set up cache for Nix
uses: actions/cache@v4
with:
path: |
/nix/store
/nix/var/nix/cache
key: nix-${{ hashFiles('flake.lock') }}
restore-keys: |
nix-
- name: Build binary
run: |
nix build
ls -alh ./result/bin/tricu
- name: Setup go for release actoin
uses: actions/setup-go@v5
with:
go-version: '>=1.20.1'
- name: Release binary
uses: https://gitea.com/actions/release-action@main
with:
files: |-
./result/bin/tricu
api_key: '${{ secrets.RELEASE_TOKEN }}'

17
.gitignore vendored
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@ -1,14 +1,11 @@
bin/
data/Purr.sqlite
data/encryptionKey
/result
/config.dhall
/Dockerfile
/docker-stack.yml
.stack-work/
*.swp *.swp
dist* *.txt
*~ *~
.env .env
.stack-work/
/Dockerfile
/config.dhall
/result
WD WD
*.hs.txt bin/
dist*

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@ -1,18 +1,82 @@
# sapling # tricu
sapling is a "micro-language" that I'm working on to investigate [Tree Calculus](https://github.com/barry-jay-personal/typed_tree_calculus/blob/main/typed_program_analysis.pdf) . ## Introduction
It offers a minimal amount of syntax sugar: tricu (pronounced "tree-shoe") is a purely functional interpreted language implemented in Haskell. [I'm](https://eversole.co) developing tricu to further research the possibilities offered by the various forms of [Tree Calculi](https://github.com/barry-jay-personal/typed_tree_calculus/blob/main/typed_program_analysis.pdf).
- `t` operator behaving by the rules of Tree Calculus tricu offers minimal syntax sugar yet manages to provide a complete, intuitive, and familiar programming environment. There is great power in simplicity. tricu offers:
- Variable definitions
- Lambda abstractions
- List, Integer, and String literals
This is an active experimentation project by [someone who has no idea what they're doing](https://eversole.co). 1. `t` operator behaving by the rules of Tree Calculus
1. Function definitions/assignments
1. Lambda abstractions eliminated to Tree Calculus forms
1. List, Number, and String literals
1. Parentheses for grouping function application
These features move us cleanly out of the [turing tarpit](https://en.wikipedia.org/wiki/Turing_tarpit) territory that you may find yourself in if you try working only with the `t` operator.
tricu is the word for "tree" in Lojban: `(x1) is a tree of species/cultivar (x2)`. This project was named "sapling" until I discovered the name is already being used for other (completely unrelated) programming language development projects.
## What does it look like?
```
tricu < -- Anything after `--` on a single line is a comment
tricu < id = (\a : a) -- Lambda abstraction is eliminated to tree calculus terms
tricu < head (map (\i : lconcat i " world!") [("Hello, ")])
tricu > "Hello, world!"
tricu < id (head (map (\i : lconcat i " world!") [("Hello, ")]))
tricu > "Hello, world!"
tricu < -- Intensionality! We can inspect the structure of a function.
tricu < triage = (\a b c : t (t a b) c)
tricu < test = triage "Leaf" (\z : "Stem") (\a b : "Fork")
tricu < test (t t)
tricu > "Stem"
tricu < -- We can even write a function to convert a term back to source code
tricu < toSource not?
tricu > "(t (t (t t) (t t t)) (t t (t t t)))"
```
## Installation and Use
You can easily build and/or run this project using [Nix](https://nixos.org/download/).
- Quick Start (REPL):
- `nix run git+https://git.eversole.co/James/tricu`
- Build executable in `./result/bin`:
- `nix build git+https://git.eversole.co/James/tricu`
`./result/bin/tricu --help`
```
tricu Evaluator and REPL
tricu [COMMAND] ... [OPTIONS]
tricu: Exploring Tree Calculus
Common flags:
-? --help Display help message
-V --version Print version information
tricu [repl] [OPTIONS]
Start interactive REPL
tricu eval [OPTIONS]
Evaluate tricu and return the result of the final expression.
-f --file=FILE Input file path(s) for evaluation.
Defaults to stdin.
-t --form=FORM Optional output form: (tree|fsl|ast|ternary|ascii).
Defaults to tricu-compatible `t` tree form.
tricu decode [OPTIONS]
Decode a Tree Calculus value into a string representation.
-f --file=FILE Optional input file path to attempt decoding.
Defaults to stdin.
```
## Acknowledgements ## Acknowledgements
Tree Calculus was discovered by [Barry Jay](https://github.com/barry-jay-personal/blog). Tree Calculus was discovered by [Barry Jay](https://github.com/barry-jay-personal/blog).
[treecalcul.us](https://treecalcul.us) is an excellent website with an intuitive playground created by [Johannes Bader](https://johannes-bader.com/) that introduced me to Tree Calculus. If sapling sounds interesting but compiling this repo sounds like a hassle, you should check out his site. [treecalcul.us](https://treecalcul.us) is an excellent website with an intuitive playground created by [Johannes Bader](https://johannes-bader.com/) that introduced me to Tree Calculus. If tricu sounds interesting but compiling this repo sounds like a hassle, you should check out his site.

24
demos/equality.tri Normal file
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false = t
true = t t
triage = (\a b c : t (t a b) c)
matchBool = (\ot of : triage
of
(\_ : ot)
(\_ _ : ot)
)
not_TC? = t (t (t t) (t t t)) (t t (t t t))
not_Lambda? = matchBool false true
areEqual? = equal not_TC not_Lambda
true_TC? = not_TC false
false_TC? = not_TC true
true_Lambda? = not_Lambda false
false_Lambda? = not_Lambda true
areTrueEqual? = equal true_TC true_Lambda
areFalseEqual? = equal false_TC false_Lambda

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@ -0,0 +1,65 @@
-- Level Order Traversal of a labelled binary tree
-- Objective: Print each "level" of the tree on a separate line
--
-- NOTICE: This demo relies on tricu base library functions
--
-- We model labelled binary trees as sublists where values act as labels. We
-- require explicit notation of empty nodes. Empty nodes can be represented
-- with an empty list, `[]`, which is equivalent to a single node `t`.
--
-- Example tree inputs:
-- [("1") [("2") [("4") t t] t] [("3") [("5") t t] [("6") t t]]]]
-- Graph:
-- 1
-- / \
-- 2 3
-- / / \
-- 4 5 6
--
label = (\node : head node)
left = (\node : if (emptyList node)
[]
(if (emptyList (tail node))
[]
(head (tail node))))
right = (\node : if (emptyList node)
[]
(if (emptyList (tail node))
[]
(if (emptyList (tail (tail node)))
[]
(head (tail (tail node))))))
processLevel = y (\self queue : if (emptyList queue)
[]
(pair (map label queue) (self (filter
(\node : not (emptyList node))
(lconcat (map left queue) (map right queue))))))
levelOrderTraversal_ = (\a : processLevel (t a t))
toLineString = y (\self levels : if (emptyList levels)
""
(lconcat
(lconcat (map (\x : lconcat x " ") (head levels)) "")
(if (emptyList (tail levels)) "" (lconcat (t (t 10 t) t) (self (tail levels))))))
levelOrderToString = (\s : toLineString (levelOrderTraversal_ s))
flatten = foldl (\acc x : lconcat acc x) ""
levelOrderTraversal = (\s : lconcat (t 10 t) (flatten (levelOrderToString s)))
exampleOne = levelOrderTraversal [("1")
[("2") [("4") t t] t]
[("3") [("5") t t] [("6") t t]]]
exampleTwo = levelOrderTraversal [("1")
[("2") [("4") [("8") t t] [("9") t t]]
[("6") [("10") t t] [("12") t t]]]
[("3") [("5") [("11") t t] t] [("7") t t]]]
exampleTwo

46
demos/toSource.tri Normal file
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-- Thanks to intensionality, we can inspect the structure of a given value
-- even if it's a function. This includes lambdas which are eliminated to
-- Tree Calculus (TC) terms during evaluation.
-- Triage takes four arguments: the first three represent behaviors for each
-- structural case in Tree Calculus (Leaf, Stem, and Fork).
-- The fourth argument is the value whose structure is inspected. By evaluating
-- the Tree Calculus term, `triage` enables branching logic based on the term's
-- shape, making it possible to perform structure-specific operations such as
-- reconstructing the terms' source code representation.
triage = (\a b c : t (t a b) c)
-- Base case of a single Leaf
sourceLeaf = t (head "t")
-- Stem case
sourceStem = (\convert : (\a rest :
t (head "(") -- Start with a left parenthesis "(".
(t (head "t") -- Add a "t"
(t (head " ") -- Add a space.
(convert a -- Recursively convert the argument.
(t (head ")") rest)))))) -- Close with ")" and append the rest.
-- Fork case
sourceFork = (\convert : (\a b rest :
t (head "(") -- Start with a left parenthesis "(".
(t (head "t") -- Add a "t"
(t (head " ") -- Add a space.
(convert a -- Recursively convert the first arg.
(t (head " ") -- Add another space.
(convert b -- Recursively convert the second arg.
(t (head ")") rest)))))))) -- Close with ")" and append the rest.
-- Wrapper around triage
toSource_ = y (\self arg :
triage
sourceLeaf -- Triage `a` case, Leaf
(sourceStem self) -- Triage `b` case, Stem
(sourceFork self) -- Triage `c` case, Fork
arg) -- The term to be inspected
-- toSource takes a single TC term and returns a String
toSource = (\v : toSource_ v "")
exampleOne = toSource true -- OUT: "(t t)"
exampleTwo = toSource not -- OUT: "(t (t (t t) (t t t)) (t t (t t t)))"

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@ -1,5 +1,5 @@
{ {
description = "sapling"; description = "tricu";
inputs = { inputs = {
nixpkgs.url = "github:NixOS/nixpkgs"; nixpkgs.url = "github:NixOS/nixpkgs";
@ -10,7 +10,7 @@
flake-utils.lib.eachDefaultSystem (system: flake-utils.lib.eachDefaultSystem (system:
let let
pkgs = nixpkgs.legacyPackages.${system}; pkgs = nixpkgs.legacyPackages.${system};
packageName = "sapling"; packageName = "tricu";
containerPackageName = "${packageName}-container"; containerPackageName = "${packageName}-container";
customGHC = pkgs.haskellPackages.ghcWithPackages (hpkgs: with hpkgs; [ customGHC = pkgs.haskellPackages.ghcWithPackages (hpkgs: with hpkgs; [
@ -22,7 +22,7 @@
enableSharedExecutables = false; enableSharedExecutables = false;
enableSharedLibraries = false; enableSharedLibraries = false;
sapling = pkgs.haskell.lib.justStaticExecutables self.packages.${system}.default; tricu = pkgs.haskell.lib.justStaticExecutables self.packages.${system}.default;
in { in {
packages.${packageName} = packages.${packageName} =

96
lib/base.tri Normal file
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@ -0,0 +1,96 @@
false = t
_ = t
true = t t
k = t t
i = t (t k) t
s = t (t (k t)) t
m = s i i
b = s (k s) k
c = s (s (k s) (s (k k) s)) (k k)
iC = (\a b c : s a (k c) b)
iD = b (b iC) iC
iE = b (b iD) iC
yi = (\i : b m (c b (i m)))
y = yi iC
yC = yi iD
yD = yi iE
id = (\a : a)
pair = t
if = (\cond then else : t (t else (t t then)) t cond)
triage = (\a b c : t (t a b) c)
test = triage "Leaf" (\_ : "Stem") (\_ _ : "Fork")
matchBool = (\ot of : triage
of
(\_ : ot)
(\_ _ : ot)
)
matchList = (\oe oc : triage
oe
_
oc
)
matchPair = (\op : triage
_
_
op
)
not? = matchBool false true
and? = matchBool id (\_ : false)
emptyList? = matchList true (\_ _ : false)
head = matchList t (\head _ : head)
tail = matchList t (\_ tail : tail)
lconcat = y (\self : matchList
(\k : k)
(\h r k : pair h (self r k)))
lAnd = (triage
(\_ : false)
(\_ x : x)
(\_ _ x : x)
)
lOr = (triage
(\x : x)
(\_ _ : true)
(\_ _ _ : true)
)
map_ = y (\self :
matchList
(\_ : t)
(\head tail f : pair (f head) (self tail f)))
map = (\f l : map_ l f)
equal? = y (\self : triage
(triage
true
(\_ : false)
(\_ _ : false))
(\ax :
triage
false
(self ax)
(\_ _ : false))
(\ax ay :
triage
false
(\_ : false)
(\bx by : lAnd (self ax bx) (self ay by))))
filter_ = y (\self : matchList
(\_ : t)
(\head tail f : matchBool (t head) i (f head) (self tail f)))
filter = (\f l : filter_ l f)
foldl_ = y (\self f l x : matchList (\acc : acc) (\head tail acc : self f tail (f acc head)) l x)
foldl = (\f x l : foldl_ f l x)
foldr_ = y (\self x f l : matchList x (\head tail : f (self x f tail) head) l)
foldr = (\f x l : foldr_ x f l)

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@ -1,8 +0,0 @@
{ pkgs ? import <nixpkgs> {} }:
let x = pkgs.haskellPackages.ghcWithPackages (hpkgs: with hpkgs; [
megaparsec
]);
in
pkgs.mkShell {
buildInputs = [ x ];
}

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@ -2,139 +2,91 @@ module Eval where
import Parser import Parser
import Research import Research
import Data.Set (Set)
import qualified Data.Set as Set import Data.Map (Map)
import Data.List (foldl')
import qualified Data.Map as Map import qualified Data.Map as Map
import Data.Map (Map) import qualified Data.Set as Set
evalSingle :: Map.Map String T -> SaplingAST -> Map.Map String T evalSingle :: Env -> TricuAST -> Env
evalSingle env term = case term of evalSingle env term
SFunc name [] body -> | SFunc name [] body <- term =
let result = evalAST env body let res = evalAST env body
in Map.insert name result env in Map.insert "__result" res (Map.insert name res env)
SApp func arg -> | SApp func arg <- term =
let result = apply (evalAST env func) (evalAST env arg) let res = apply (evalAST env func) (evalAST env arg)
in Map.insert "__result" result env in Map.insert "__result" res env
SVar name -> case Map.lookup name env of | SVar name <- term =
Just value -> Map.insert "__result" value env case Map.lookup name env of
Nothing -> error $ "Variable " ++ name ++ " not defined" Just v -> Map.insert "__result" v env
_ -> Nothing -> errorWithoutStackTrace $ "Variable " ++ name ++ " not defined"
let result = evalAST env term | otherwise =
in Map.insert "__result" result env Map.insert "__result" (evalAST env term) env
evalSapling :: Map String T -> [SaplingAST] -> Map String T evalTricu :: Env -> [TricuAST] -> Env
evalSapling env [] = env evalTricu env [] = env
evalSapling env [lastLine] = evalTricu env [x] =
let let updatedEnv = evalSingle env x
lastLineNoLambda = eliminateLambda lastLine in Map.insert "__result" (result updatedEnv) updatedEnv
updatedEnv = evalSingle env lastLineNoLambda evalTricu env (x:xs) =
in Map.insert "__result" (result updatedEnv) updatedEnv evalTricu (evalSingle env x) xs
evalSapling env (line:rest) =
let
lineNoLambda = eliminateLambda line
updatedEnv = evalSingle env lineNoLambda
in evalSapling updatedEnv rest
evalAST :: Map String T -> SaplingAST -> T evalAST :: Env -> TricuAST -> T
evalAST env term = case term of evalAST env term
SVar name -> | SLambda _ _ <- term = evalAST env (elimLambda term)
case Map.lookup name env of | SVar name <- term = evalVar name
Just value -> value | TLeaf <- term = Leaf
Nothing -> error $ "Variable " ++ name ++ " not defined" | TStem t <- term = Stem (evalAST env t)
TLeaf -> Leaf | TFork t u <- term = Fork (evalAST env t) (evalAST env u)
TStem t -> | SApp t u <- term = apply (evalAST env t) (evalAST env u)
Stem (evalAST env t) | SStr s <- term = ofString s
TFork t1 t2 -> | SInt n <- term = ofNumber n
Fork (evalAST env t1) (evalAST env t2) | SList xs <- term = ofList (map (evalAST env) xs)
SApp t1 t2 -> | SEmpty <- term = Leaf
apply (evalAST env t1) (evalAST env t2) | otherwise = errorWithoutStackTrace "Unexpected AST term"
SStr str -> toString str where
SInt num -> toNumber num evalVar name = Map.findWithDefault
SList elems -> toList (map (evalAST Map.empty) elems) (errorWithoutStackTrace $ "Variable " ++ name ++ " not defined")
SFunc name args body -> name env
error $ "Unexpected function definition " ++ name
++ " in evalAST; define via evalSingle."
SLambda {} ->
error "Internal error: SLambda found in evalAST after elimination."
result :: Map String T -> T -- https://github.com/barry-jay-personal/typed_tree_calculus/blob/main/typed_program_analysis.pdf
-- Chapter 4: Lambda-Abstraction
elimLambda :: TricuAST -> TricuAST
elimLambda = go
where
go (SLambda (v:vs) body)
| null vs = toSKI v (elimLambda body)
| otherwise = elimLambda (SLambda [v] (SLambda vs body))
go (SApp f g) = SApp (elimLambda f) (elimLambda g)
go x = x
toSKI x (SVar y)
| x == y = _I
| otherwise = SApp _K (SVar y)
toSKI x t@(SApp n u)
| not (isFree x t) = SApp _K t
| otherwise = SApp (SApp _S (toSKI x n)) (toSKI x u)
toSKI x t
| not (isFree x t) = SApp _K t
| otherwise = SApp (SApp _S (toSKI x t)) TLeaf
_S = parseSingle "t (t (t t t)) t"
_K = parseSingle "t t"
_I = parseSingle "t (t (t t)) t"
isFree x = Set.member x . freeVars
freeVars (SVar v ) = Set.singleton v
freeVars (SInt _ ) = Set.empty
freeVars (SStr _ ) = Set.empty
freeVars (SList s ) = foldMap freeVars s
freeVars (SApp f a ) = freeVars f <> freeVars a
freeVars (TLeaf ) = Set.empty
freeVars (SFunc _ _ b) = freeVars b
freeVars (TStem t ) = freeVars t
freeVars (TFork l r ) = freeVars l <> freeVars r
freeVars (SLambda v b ) = foldr Set.delete (freeVars b) v
result :: Env -> T
result r = case Map.lookup "__result" r of result r = case Map.lookup "__result" r of
Just a -> a Just a -> a
Nothing -> error "No __result field found in provided environment" Nothing -> errorWithoutStackTrace "No __result field found in provided environment"
eliminateLambda :: SaplingAST -> SaplingAST
eliminateLambda (SLambda (v:vs) body)
| null vs = lambdaToT v (eliminateLambda body)
| otherwise =
eliminateLambda (SLambda [v] (SLambda vs body))
eliminateLambda (SApp f arg) =
SApp (eliminateLambda f) (eliminateLambda arg)
eliminateLambda (TStem t) =
TStem (eliminateLambda t)
eliminateLambda (TFork l r) =
TFork (eliminateLambda l) (eliminateLambda r)
eliminateLambda (SList xs) =
SList (map eliminateLambda xs)
eliminateLambda (SFunc n vs b) =
SFunc n vs (eliminateLambda b)
eliminateLambda other = other
lambdaToT :: String -> SaplingAST -> SaplingAST
lambdaToT x (SVar y)
| x == y = tI
lambdaToT x (SVar y)
| x /= y =
SApp tK (SVar y)
lambdaToT x t
| not (isFree x t) =
SApp tK t
lambdaToT x (SApp n u)
| not (isFree x (SApp n u)) =
SApp tK (SApp (eliminateLambda n) (eliminateLambda u))
lambdaToT x (SApp n u) =
SApp
(SApp tS (lambdaToT x (eliminateLambda n)))
(lambdaToT x (eliminateLambda u))
lambdaToT x (SApp f args) = lambdaToT x f
lambdaToT x body
| not (isFree x body) =
SApp tK body
| otherwise =
SApp
(SApp tS (lambdaToT x body))
tLeaf
tLeaf :: SaplingAST
tLeaf = TLeaf
freeVars :: SaplingAST -> Set String
freeVars (SVar v) = Set.singleton v
freeVars (SInt _) = Set.empty
freeVars (SStr _) = Set.empty
freeVars (SList xs) = foldMap freeVars xs
freeVars (SFunc _ _ b) = freeVars b
freeVars (SApp f arg) = freeVars f <> freeVars arg
freeVars TLeaf = Set.empty
freeVars (TStem t) = freeVars t
freeVars (TFork l r) = freeVars l <> freeVars r
freeVars (SLambda vs b) = foldr Set.delete (freeVars b) vs
isFree :: String -> SaplingAST -> Bool
isFree x = Set.member x . freeVars
toAST :: T -> SaplingAST
toAST Leaf = TLeaf
toAST (Stem a) = TStem (toAST a)
toAST (Fork a b) = TFork (toAST a) (toAST b)
tI :: SaplingAST
tI = toAST _I
tK :: SaplingAST
tK = toAST _K
tS :: SaplingAST
tS = toAST _S

30
src/FileEval.hs Normal file
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@ -0,0 +1,30 @@
module FileEval where
import Eval
import Parser
import Research
import System.IO
import qualified Data.Map as Map
evaluateFileResult :: FilePath -> IO T
evaluateFileResult filePath = do
contents <- readFile filePath
let asts = parseTricu contents
let finalEnv = evalTricu Map.empty asts
case Map.lookup "__result" finalEnv of
Just finalResult -> return finalResult
Nothing -> errorWithoutStackTrace "No expressions to evaluate found"
evaluateFile :: FilePath -> IO Env
evaluateFile filePath = do
contents <- readFile filePath
let asts = parseTricu contents
pure $ evalTricu Map.empty asts
evaluateFileWithContext :: Env -> FilePath -> IO Env
evaluateFileWithContext env filePath = do
contents <- readFile filePath
let asts = parseTricu contents
pure $ evalTricu env asts

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@ -1,33 +1,28 @@
module Lexer where module Lexer where
import Research import Research
import Text.Megaparsec
import Text.Megaparsec.Char import Control.Monad (void)
import Data.Void import Data.Void
import Text.Megaparsec
import Text.Megaparsec.Char hiding (space)
import Text.Megaparsec.Char.Lexer
import qualified Data.Set as Set import qualified Data.Set as Set
type Lexer = Parsec Void String type Lexer = Parsec Void String
data LToken
= LKeywordT
| LIdentifier String
| LIntegerLiteral Int
| LStringLiteral String
| LAssign
| LColon
| LBackslash
| LOpenParen
| LCloseParen
| LOpenBracket
| LCloseBracket
| LNewline
deriving (Show, Eq, Ord)
keywordT :: Lexer LToken keywordT :: Lexer LToken
keywordT = string "t" *> notFollowedBy alphaNumChar *> pure LKeywordT keywordT = string "t" *> notFollowedBy alphaNumChar *> pure LKeywordT
identifier :: Lexer LToken identifier :: Lexer LToken
identifier = do identifier = do
name <- some (letterChar <|> char '_' <|> char '-') first <- letterChar <|> char '_'
rest <- many $ letterChar
<|> digitChar
<|> char '_' <|> char '-' <|> char '?' <|> char '!'
<|> char '$' <|> char '#' <|> char '@' <|> char '%'
let name = first : rest
if (name == "t" || name == "__result") if (name == "t" || name == "__result")
then fail "Keywords (`t`, `__result`) cannot be used as an identifier" then fail "Keywords (`t`, `__result`) cannot be used as an identifier"
else return (LIdentifier name) else return (LIdentifier name)
@ -41,11 +36,8 @@ stringLiteral :: Lexer LToken
stringLiteral = do stringLiteral = do
char '"' char '"'
content <- many (noneOf ['"']) content <- many (noneOf ['"'])
if null content char '"' --"
then fail "Empty string literals are not allowed" return (LStringLiteral content)
else do
char '"' -- "
return (LStringLiteral content)
assign :: Lexer LToken assign :: Lexer LToken
assign = char '=' *> pure LAssign assign = char '=' *> pure LAssign
@ -72,25 +64,38 @@ lnewline :: Lexer LToken
lnewline = char '\n' *> pure LNewline lnewline = char '\n' *> pure LNewline
sc :: Lexer () sc :: Lexer ()
sc = skipMany (char ' ' <|> char '\t') sc = space
(void $ takeWhile1P (Just "space") (\c -> c == ' ' || c == '\t'))
(skipLineComment "--")
(skipBlockComment "|-" "-|")
saplingLexer :: Lexer [LToken] tricuLexer :: Lexer [LToken]
saplingLexer = many (sc *> choice tricuLexer = do
[ try identifier sc
, try keywordT tokens <- many $ do
, try integerLiteral tok <- choice tricuLexer'
, try stringLiteral sc
, assign pure tok
, colon sc
, backslash eof
, openParen pure tokens
, closeParen where
, openBracket tricuLexer' =
, closeBracket [ try lnewline
, lnewline , try identifier
] <* sc) <* eof , try keywordT
, try integerLiteral
, try stringLiteral
, assign
, colon
, backslash
, openParen
, closeParen
, openBracket
, closeBracket
]
lexSapling :: String -> [LToken] lexTricu :: String -> [LToken]
lexSapling input = case runParser saplingLexer "" input of lexTricu input = case runParser tricuLexer "" input of
Left err -> error $ "Lexical error:\n" ++ errorBundlePretty err Left err -> errorWithoutStackTrace $ "Lexical error:\n" ++ errorBundlePretty err
Right tokens -> tokens Right tokens -> tokens

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@ -1,13 +1,87 @@
module Main where module Main where
import Eval import Eval (evalTricu, result)
import Lexer import FileEval
import Parser import Parser (parseTricu)
import REPL (repl) import REPL
import Research import Research
import Control.Monad (foldM)
import Control.Monad.IO.Class (liftIO)
import Text.Megaparsec (runParser)
import System.Console.CmdArgs
import qualified Data.Map as Map import qualified Data.Map as Map
import Text.Megaparsec (runParser)
data TricuArgs
= Repl
| Evaluate { file :: [FilePath], form :: EvaluatedForm }
| Decode { file :: [FilePath] }
deriving (Show, Data, Typeable)
replMode :: TricuArgs
replMode = Repl
&= help "Start interactive REPL"
&= auto
&= name "repl"
evaluateMode :: TricuArgs
evaluateMode = Evaluate
{ file = def &= help "Input file path(s) for evaluation.\n \
\ Defaults to stdin."
&= name "f" &= typ "FILE"
, form = TreeCalculus &= typ "FORM"
&= help "Optional output form: (tree|fsl|ast|ternary|ascii).\n \
\ Defaults to tricu-compatible `t` tree form."
&= name "t"
}
&= help "Evaluate tricu and return the result of the final expression."
&= explicit
&= name "eval"
decodeMode :: TricuArgs
decodeMode = Decode
{ file = def
&= help "Optional input file path to attempt decoding.\n \
\ Defaults to stdin."
&= name "f" &= typ "FILE"
}
&= help "Decode a Tree Calculus value into a string representation."
&= explicit
&= name "decode"
main :: IO () main :: IO ()
main = repl Map.empty --(Map.fromList [("__result", Leaf)]) main = do
args <- cmdArgs $ modes [replMode, evaluateMode, decodeMode]
&= help "tricu: Exploring Tree Calculus"
&= program "tricu"
&= summary "tricu Evaluator and REPL"
case args of
Repl -> do
putStrLn "Welcome to the tricu REPL"
putStrLn "You can exit with `CTRL+D` or the `:_exit` command.`"
library <- liftIO $ evaluateFile "./lib/base.tri"
repl $ Map.delete "__result" library
Evaluate { file = filePaths, form = form } -> do
result <- case filePaths of
[] -> do
t <- getContents
pure $ runTricu t
(filePath:restFilePaths) -> do
initialEnv <- evaluateFile filePath
finalEnv <- foldM evaluateFileWithContext initialEnv restFilePaths
pure $ result finalEnv
let fRes = formatResult form result
putStr fRes
Decode { file = filePaths } -> do
value <- case filePaths of
[] -> getContents
(filePath:_) -> readFile filePath
library <- liftIO $ evaluateFile "./lib/base.tri"
putStrLn $ decodeResult $ result $ evalTricu library $ parseTricu value
runTricu :: String -> T
runTricu input =
let asts = parseTricu input
finalEnv = evalTricu Map.empty asts
in result finalEnv

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@ -1,254 +1,304 @@
module Parser where module Parser where
import Debug.Trace
import Lexer import Lexer
import Research hiding (toList) import Research
import Control.Exception (throw) import Control.Monad (void)
import Control.Monad.State
import Data.List.NonEmpty (toList) import Data.List.NonEmpty (toList)
import qualified Data.Set as Set import Data.Void (Void)
import Data.Void
import Text.Megaparsec import Text.Megaparsec
import Text.Megaparsec.Char import Text.Megaparsec.Error (ParseErrorBundle, errorBundlePretty)
import Text.Megaparsec.Error (errorBundlePretty, ParseErrorBundle) import qualified Data.Set as Set
type Parser = Parsec Void [LToken] data PState = PState
data SaplingAST { parenDepth :: Int
= SVar String , bracketDepth :: Int
| SInt Int } deriving (Show)
| SStr String
| SList [SaplingAST]
| SFunc String [String] SaplingAST
| SApp SaplingAST SaplingAST
| TLeaf
| TStem SaplingAST
| TFork SaplingAST SaplingAST
| SLambda [String] SaplingAST
deriving (Show, Eq, Ord)
parseSapling :: String -> [SaplingAST] type ParserM = StateT PState (Parsec Void [LToken])
parseSapling input =
let nonEmptyLines = filter (not . null) (lines input)
in map parseSingle nonEmptyLines
parseSingle :: String -> SaplingAST satisfyM :: (LToken -> Bool) -> ParserM LToken
parseSingle "" = error "Empty input provided to parseSingle" satisfyM f = do
parseSingle input = case runParser parseExpression "" (lexSapling input) of token <- lift (satisfy f)
Left err -> error $ handleParseError err modify' (updateDepth token)
Right ast -> ast return token
scnParser :: Parser () updateDepth :: LToken -> PState -> PState
scnParser = skipMany (satisfy isNewline) updateDepth LOpenParen st = st { parenDepth = parenDepth st + 1 }
updateDepth LOpenBracket st = st { bracketDepth = bracketDepth st + 1 }
updateDepth LCloseParen st = st { parenDepth = parenDepth st - 1 }
updateDepth LCloseBracket st = st { bracketDepth = bracketDepth st - 1 }
updateDepth _ st = st
parseExpression :: Parser SaplingAST topLevelNewline :: ParserM ()
parseExpression = choice topLevelNewline = do
[ try parseFunction st <- get
, try parseLambda if parenDepth st == 0 && bracketDepth st == 0
, try parseListLiteral then void (satisfyM (== LNewline))
, try parseApplication else fail "Top-level exit in nested context (paren or bracket)"
, try parseTreeTerm
, parseLiteral parseProgram :: [LToken] -> Either (ParseErrorBundle [LToken] Void) [TricuAST]
parseProgram tokens =
runParser (evalStateT (parseProgramM <* finalizeDepth <* eof) (PState 0 0)) "" tokens
parseSingleExpr :: [LToken] -> Either (ParseErrorBundle [LToken] Void) TricuAST
parseSingleExpr tokens =
runParser (evalStateT (scnParserM *> parseExpressionM <* finalizeDepth <* eof) (PState 0 0)) "" tokens
finalizeDepth :: ParserM ()
finalizeDepth = do
st <- get
case (parenDepth st, bracketDepth st) of
(0, 0) -> pure ()
(p, b) -> fail $ "Unmatched tokens: " ++ show (p, b)
parseTricu :: String -> [TricuAST]
parseTricu input =
case lexTricu input of
[] -> []
toks ->
case parseProgram toks of
Left err -> errorWithoutStackTrace (handleParseError err)
Right asts -> asts
parseSingle :: String -> TricuAST
parseSingle input =
case lexTricu input of
[] -> SEmpty
toks ->
case parseSingleExpr toks of
Left err -> errorWithoutStackTrace (handleParseError err)
Right ast -> ast
parseProgramM :: ParserM [TricuAST]
parseProgramM = do
skipMany topLevelNewline
exprs <- sepEndBy parseOneExpression (some topLevelNewline)
skipMany topLevelNewline
return exprs
parseOneExpression :: ParserM TricuAST
parseOneExpression = scnParserM *> parseExpressionM
scnParserM :: ParserM ()
scnParserM = skipMany $ do
t <- lookAhead anySingle
st <- get
if | (parenDepth st > 0 || bracketDepth st > 0) && case t of
LNewline -> True
_ -> False -> void $ satisfyM $ \case
LNewline -> True
_ -> False
| otherwise -> fail "In nested context or no space token" <|> empty
eofM :: ParserM ()
eofM = lift eof
parseExpressionM :: ParserM TricuAST
parseExpressionM = choice
[ try parseFunctionM
, try parseLambdaM
, try parseLambdaExpressionM
, try parseListLiteralM
, try parseApplicationM
, try parseTreeTermM
, parseLiteralM
] ]
parseFunction :: Parser SaplingAST parseFunctionM :: ParserM TricuAST
parseFunction = do parseFunctionM = do
LIdentifier name <- satisfy isIdentifier LIdentifier name <- satisfyM $ \case
args <- many (satisfy isIdentifier) LIdentifier _ -> True
satisfy (== LAssign) _ -> False
body <- parseExpression args <- many $ satisfyM $ \case
return (SFunc name (map getIdentifier args) body) LIdentifier _ -> True
_ -> False
_ <- satisfyM (== LAssign)
scnParserM
body <- parseExpressionM
pure (SFunc name (map getIdentifier args) body)
parseLambda :: Parser SaplingAST parseLambdaM :: ParserM TricuAST
parseLambda = between (satisfy (== LOpenParen)) (satisfy (== LCloseParen)) $ do parseLambdaM =
satisfy (== LBackslash) between (satisfyM (== LOpenParen)) (satisfyM (== LCloseParen)) $ do
param <- satisfy isIdentifier _ <- satisfyM (== LBackslash)
rest <- many (satisfy isIdentifier) param <- satisfyM $ \case
satisfy (== LColon) LIdentifier _ -> True
body <- parseLambdaExpression _ -> False
let nestedLambda = foldr (\v acc -> SLambda [v] acc) body (map getIdentifier rest) rest <- many $ satisfyM $ \case
return (SLambda [getIdentifier param] nestedLambda) LIdentifier _ -> True
_ -> False
_ <- satisfyM (== LColon)
scnParserM
body <- parseLambdaExpressionM
let nested = foldr (\v acc -> SLambda [getIdentifier v] acc) body rest
pure (SLambda [getIdentifier param] nested)
parseLambdaExpression :: Parser SaplingAST parseLambdaExpressionM :: ParserM TricuAST
parseLambdaExpression = choice parseLambdaExpressionM = choice
[ try parseLambdaApplication [ try parseLambdaApplicationM
, parseAtomicLambda , parseAtomicLambdaM
] ]
parseAtomicLambda :: Parser SaplingAST parseAtomicLambdaM :: ParserM TricuAST
parseAtomicLambda = choice parseAtomicLambdaM = choice
[ parseVar [ parseVarM
, parseTreeLeaf , parseTreeLeafM
, parseLiteral , parseLiteralM
, parseListLiteral , parseListLiteralM
, between (satisfy (== LOpenParen)) (satisfy (== LCloseParen)) parseLambdaExpression , try parseLambdaM
, between (satisfyM (== LOpenParen)) (satisfyM (== LCloseParen)) parseLambdaExpressionM
] ]
parseApplication :: Parser SaplingAST parseApplicationM :: ParserM TricuAST
parseApplication = do parseApplicationM = do
func <- parseAtomicBase func <- parseAtomicBaseM
args <- many parseAtomic scnParserM
return $ foldl (\acc arg -> SApp acc arg) func args args <- many $ do
scnParserM
arg <- parseAtomicM
return arg
return $ foldl SApp func args
parseLambdaApplication :: Parser SaplingAST parseLambdaApplicationM :: ParserM TricuAST
parseLambdaApplication = do parseLambdaApplicationM = do
func <- parseAtomicLambda func <- parseAtomicLambdaM
args <- many parseAtomicLambda scnParserM
return $ foldl (\acc arg -> SApp acc arg) func args args <- many $ do
arg <- parseAtomicLambdaM
scnParserM
pure arg
pure $ foldl SApp func args
isTreeTerm :: SaplingAST -> Bool parseAtomicBaseM :: ParserM TricuAST
isTreeTerm TLeaf = True parseAtomicBaseM = choice
isTreeTerm (TStem _) = True [ parseTreeLeafM
isTreeTerm (TFork _ _) = True , parseGroupedM
isTreeTerm _ = False
parseAtomicBase :: Parser SaplingAST
parseAtomicBase = choice
[ parseVar
, parseTreeLeaf
, parseGrouped
] ]
parseTreeLeaf :: Parser SaplingAST parseTreeLeafM :: ParserM TricuAST
parseTreeLeaf = satisfy isKeywordT *> notFollowedBy (satisfy (== LAssign)) *> pure TLeaf parseTreeLeafM = do
_ <- satisfyM $ \case
LKeywordT -> True
_ -> False
notFollowedBy $ lift $ satisfy (== LAssign)
pure TLeaf
parseTreeTermM :: ParserM TricuAST
parseTreeTermM = do
base <- parseTreeLeafOrParenthesizedM
rest <- many parseTreeLeafOrParenthesizedM
pure (foldl combine base rest)
where
combine acc next
| TLeaf <- acc = TStem next
| TStem t <- acc = TFork t next
| TFork _ _ <- acc = TFork acc next
parseTreeLeafOrParenthesizedM :: ParserM TricuAST
parseTreeLeafOrParenthesizedM = choice
[ between (satisfyM (== LOpenParen)) (satisfyM (== LCloseParen)) parseTreeTermM
, parseTreeLeafM
]
parseAtomicM :: ParserM TricuAST
parseAtomicM = choice
[ parseVarM
, parseTreeLeafM
, parseListLiteralM
, parseGroupedM
, parseLiteralM
]
parseGroupedM :: ParserM TricuAST
parseGroupedM = between (satisfyM (== LOpenParen)) (satisfyM (== LCloseParen)) $
scnParserM *> parseExpressionM <* scnParserM
parseLiteralM :: ParserM TricuAST
parseLiteralM = choice
[ parseIntLiteralM
, parseStrLiteralM
]
parseListLiteralM :: ParserM TricuAST
parseListLiteralM = do
_ <- satisfyM (== LOpenBracket)
elements <- many $ do
scnParserM
parseListItemM
scnParserM
_ <- satisfyM (== LCloseBracket)
pure (SList elements)
parseListItemM :: ParserM TricuAST
parseListItemM = choice
[ parseGroupedItemM
, parseListLiteralM
, parseSingleItemM
]
parseGroupedItemM :: ParserM TricuAST
parseGroupedItemM = do
_ <- satisfyM (== LOpenParen)
inner <- parseExpressionM
_ <- satisfyM (== LCloseParen)
pure inner
parseSingleItemM :: ParserM TricuAST
parseSingleItemM = do
token <- satisfyM $ \case
LIdentifier _ -> True
LKeywordT -> True
_ -> False
case token of
LIdentifier name -> pure (SVar name)
LKeywordT -> pure TLeaf
_ -> fail "Unexpected token in list item"
parseVarM :: ParserM TricuAST
parseVarM = do
LIdentifier name <- satisfyM $ \case
LIdentifier _ -> True
_ -> False
if name == "t" || name == "__result"
then fail ("Reserved keyword: " ++ name ++ " cannot be assigned.")
else pure (SVar name)
parseIntLiteralM :: ParserM TricuAST
parseIntLiteralM = do
LIntegerLiteral value <- satisfyM $ \case
LIntegerLiteral _ -> True
_ -> False
pure (SInt value)
parseStrLiteralM :: ParserM TricuAST
parseStrLiteralM = do
LStringLiteral value <- satisfyM $ \case
LStringLiteral _ -> True
_ -> False
pure (SStr value)
getIdentifier :: LToken -> String getIdentifier :: LToken -> String
getIdentifier (LIdentifier name) = name getIdentifier (LIdentifier name) = name
getIdentifier _ = error "Expected identifier" getIdentifier _ = errorWithoutStackTrace "Expected identifier"
parseTreeTerm :: Parser SaplingAST
parseTreeTerm = do
base <- parseTreeLeafOrParenthesized
rest <- many parseTreeLeafOrParenthesized
pure $ foldl combine base rest
where
combine acc next = case acc of
TLeaf -> TStem next
TStem t -> TFork t next
TFork _ _ -> TFork acc next
parseTreeLeafOrParenthesized :: Parser SaplingAST
parseTreeLeafOrParenthesized = choice
[ between (satisfy (== LOpenParen)) (satisfy (== LCloseParen)) parseTreeTerm
, parseTreeLeaf
]
foldTree :: [SaplingAST] -> SaplingAST
foldTree [] = TLeaf
foldTree [x] = x
foldTree (x:y:rest) = TFork x (foldTree (y:rest))
parseAtomic :: Parser SaplingAST
parseAtomic = choice
[ parseVar
, parseTreeLeaf
, parseListLiteral
, parseGrouped
, parseLiteral
]
parseGrouped :: Parser SaplingAST
parseGrouped = between (satisfy (== LOpenParen)) (satisfy (== LCloseParen)) parseExpression
parseLiteral :: Parser SaplingAST
parseLiteral = choice
[ parseIntLiteral
, parseStrLiteral
]
parens :: Parser SaplingAST -> Parser SaplingAST
parens p = do
satisfy (== LOpenParen)
result <- p
satisfy (== LCloseParen)
return result
parseListLiteral :: Parser SaplingAST
parseListLiteral = do
satisfy (== LOpenBracket)
elements <- many parseListItem
satisfy (== LCloseBracket)
return (SList elements)
parseListItem :: Parser SaplingAST
parseListItem = choice
[ parseGroupedItem
, parseListLiteral
, parseSingleItem
]
parseGroupedItem :: Parser SaplingAST
parseGroupedItem = do
satisfy (== LOpenParen)
inner <- parseExpression
satisfy (== LCloseParen)
return inner
parseSingleItem :: Parser SaplingAST
parseSingleItem = do
token <- satisfy isListItem
case token of
LIdentifier name -> return (SVar name)
LKeywordT -> return TLeaf
_ -> fail "Unexpected token in list item"
isListItem :: LToken -> Bool
isListItem (LIdentifier _) = True
isListItem LKeywordT = True
isListItem _ = False
parseVar :: Parser SaplingAST
parseVar = do
LIdentifier name <- satisfy isIdentifier
if (name == "t" || name == "__result")
then fail $ "Reserved keyword: " ++ name ++ " cannot be assigned."
else return (SVar name)
parseIntLiteral :: Parser SaplingAST
parseIntLiteral = do
LIntegerLiteral value <- satisfy isIntegerLiteral
return (SInt value)
parseStrLiteral :: Parser SaplingAST
parseStrLiteral = do
LStringLiteral value <- satisfy isStringLiteral
return (SStr value)
-- Boolean Helpers
isKeywordT (LKeywordT) = True
isKeywordT _ = False
isIdentifier (LIdentifier _) = True
isIdentifier _ = False
isIntegerLiteral (LIntegerLiteral _) = True
isIntegerLiteral _ = False
isStringLiteral (LStringLiteral _) = True
isStringLiteral _ = False
isLiteral (LIntegerLiteral _) = True
isLiteral (LStringLiteral _) = True
isLiteral _ = False
esNewline (LNewline) = True
isNewline _ = False
-- Error Handling
handleParseError :: ParseErrorBundle [LToken] Void -> String handleParseError :: ParseErrorBundle [LToken] Void -> String
handleParseError bundle = handleParseError bundle =
let errors = bundleErrors bundle let errors = bundleErrors bundle
errorList = toList errors formattedErrors = map formatError (Data.List.NonEmpty.toList errors)
formattedErrors = map showError errorList
in unlines ("Parse error(s) encountered:" : formattedErrors) in unlines ("Parse error(s) encountered:" : formattedErrors)
showError :: ParseError [LToken] Void -> String formatError :: ParseError [LToken] Void -> String
showError (TrivialError offset (Just (Tokens tokenStream)) expected) = formatError (TrivialError offset unexpected expected) =
"Parse error at offset " ++ show offset ++ ": unexpected token " let unexpectedMsg = case unexpected of
++ show tokenStream ++ ", expected one of " ++ show (Set.toList expected) Just x -> "unexpected token " ++ show x
showError (FancyError offset fancy) = Nothing -> "unexpected end of input"
"Parse error at offset " ++ show offset ++ ":\n " ++ unlines (map show (Set.toList fancy)) expectedMsg = if null expected
showError (TrivialError offset Nothing expected) = then ""
"Parse error at offset " ++ show offset ++ ": expected one of " else "expected " ++ show (Set.toList expected)
++ show (Set.toList expected) in "Parse error at offset " ++ show offset ++ ": " ++ unexpectedMsg ++
if null expectedMsg then "" else " " ++ expectedMsg
formatError (FancyError offset _) =
"Parse error at offset " ++ show offset ++ ": unexpected FancyError"

View File

@ -1,25 +1,68 @@
module REPL where module REPL where
import Eval import Eval
import FileEval
import Lexer import Lexer
import Parser import Parser
import Research import Research
import Control.Monad (void) import Control.Exception (SomeException, catch)
import qualified Data.Map as Map import Control.Monad.IO.Class (liftIO)
import System.IO (hFlush, stdout) import Data.Char (isSpace)
import Data.List (dropWhile, dropWhileEnd, intercalate)
import System.Console.Haskeline
repl :: Map.Map String T -> IO () import qualified Data.Map as Map
repl env = do
putStr "sapling > " repl :: Env -> IO ()
hFlush stdout repl env = runInputT defaultSettings (loop env)
input <- getLine where
if input == "_:exit" loop :: Env -> InputT IO ()
then putStrLn "Goodbye!" loop env = do
else do minput <- getInputLine "tricu < "
let clearEnv = Map.delete "__result" env if
let newEnv = evalSingle clearEnv (parseSingle input) | Nothing <- minput -> outputStrLn "Exiting tricu"
case Map.lookup "__result" newEnv of | Just s <- minput, strip s == "!exit" -> outputStrLn "Exiting tricu"
Just r -> putStrLn $ "sapling < " ++ show r | Just s <- minput, strip s == "" -> do
Nothing -> pure () outputStrLn ""
repl newEnv loop env
| Just s <- minput, strip s == "!load" -> do
path <- getInputLine "File path to load < "
if
| Nothing <- path -> do
outputStrLn "No input received; stopping import."
loop env
| Just p <- path -> do
loadedEnv <- liftIO $ evaluateFileWithContext env (strip p) `catch` \e -> errorHandler env e
loop $ Map.delete "__result" (Map.union loadedEnv env)
| Just s <- minput -> do
if
| take 2 s == "--" -> loop env
| otherwise -> do
newEnv <- liftIO $ processInput env s `catch` errorHandler env
loop newEnv
processInput :: Env -> String -> IO Env
processInput env input = do
let asts = parseTricu input
newEnv = evalTricu env asts
if
| Just r <- Map.lookup "__result" newEnv -> do
putStrLn $ "tricu > " ++ decodeResult r
| otherwise -> return ()
return newEnv
errorHandler :: Env -> SomeException -> IO (Env)
errorHandler env e = do
putStrLn $ "Error: " ++ show e
return env
strip :: String -> String
strip = dropWhileEnd isSpace . dropWhile isSpace
decodeResult :: T -> String
decodeResult tc
| Right num <- toNumber tc = show num
| Right str <- toString tc = "\"" ++ str ++ "\""
| Right list <- toList tc = "[" ++ intercalate ", " (map decodeResult list) ++ "]"
| otherwise = formatResult TreeCalculus tc

View File

@ -1,13 +1,57 @@
module Research where module Research where
import Data.List (intercalate)
import Control.Monad.State import Control.Monad.State
import qualified Data.Map as Map import Data.List (intercalate)
import Data.Map (Map) import Data.Map (Map)
import Data.Text (Text, replace)
import System.Console.CmdArgs (Data, Typeable)
import qualified Data.Map as Map
import qualified Data.Text as T
-- Tree Calculus Types
data T = Leaf | Stem T | Fork T T data T = Leaf | Stem T | Fork T T
deriving (Show, Eq, Ord) deriving (Show, Eq, Ord)
-- Abstract Syntax Tree for tricu
data TricuAST
= SVar String
| SInt Int
| SStr String
| SList [TricuAST]
| SFunc String [String] TricuAST
| SApp TricuAST TricuAST
| TLeaf
| TStem TricuAST
| TFork TricuAST TricuAST
| SLambda [String] TricuAST
| SEmpty
deriving (Show, Eq, Ord)
-- Lexer Tokens
data LToken
= LKeywordT
| LIdentifier String
| LIntegerLiteral Int
| LStringLiteral String
| LAssign
| LColon
| LBackslash
| LOpenParen
| LCloseParen
| LOpenBracket
| LCloseBracket
| LNewline
deriving (Show, Eq, Ord)
-- Output formats
data EvaluatedForm = TreeCalculus | FSL | AST | Ternary | Ascii
deriving (Show, Data, Typeable)
-- Environment containing previously evaluated TC terms
type Env = Map.Map String T
-- Tree Calculus Reduction
apply :: T -> T -> T apply :: T -> T -> T
apply Leaf b = Stem b apply Leaf b = Stem b
apply (Stem a) b = Fork a b apply (Stem a) b = Fork a b
@ -17,26 +61,6 @@ apply (Fork (Fork a1 a2) a3) Leaf = a1
apply (Fork (Fork a1 a2) a3) (Stem u) = apply a2 u apply (Fork (Fork a1 a2) a3) (Stem u) = apply a2 u
apply (Fork (Fork a1 a2) a3) (Fork u v) = apply (apply a3 u) v apply (Fork (Fork a1 a2) a3) (Fork u v) = apply (apply a3 u) v
reduce :: T -> T
reduce expr =
let next = step expr
in if next == expr then expr else reduce next
step :: T -> T
step (Fork left right) = reduce (apply (reduce left) (reduce right))
step (Stem inner) = Stem (reduce inner)
step t = t
-- SKI Combinators
_S :: T
_S = Fork (Stem (Fork Leaf Leaf)) Leaf
_K :: T
_K = Stem Leaf
_I :: T
_I = apply (apply _S _K) _K -- Fork (Stem (Stem Leaf)) (Stem Leaf)
-- Booleans -- Booleans
_false :: T _false :: T
_false = Leaf _false = Leaf
@ -48,35 +72,67 @@ _not :: T
_not = Fork (Fork _true (Fork Leaf _false)) Leaf _not = Fork (Fork _true (Fork Leaf _false)) Leaf
-- Marshalling -- Marshalling
toString :: String -> T ofString :: String -> T
toString str = toList (map toNumber (map fromEnum str)) ofString str = ofList (map ofNumber (map fromEnum str))
ofString :: T -> String ofNumber :: Int -> T
ofString tc = map (toEnum . ofNumber) (ofList tc) ofNumber 0 = Leaf
ofNumber n =
toNumber :: Int -> T
toNumber 0 = Leaf
toNumber n =
Fork Fork
(if odd n then Stem Leaf else Leaf) (if odd n then Stem Leaf else Leaf)
(toNumber (n `div` 2)) (ofNumber (n `div` 2))
ofNumber :: T -> Int ofList :: [T] -> T
ofNumber Leaf = 0 ofList [] = Leaf
ofNumber (Fork Leaf rest) = 2 * ofNumber rest ofList (x:xs) = Fork x (ofList xs)
ofNumber (Fork (Stem Leaf) rest) = 1 + 2 * ofNumber rest
ofNumber _ = error "Invalid Tree Calculus number"
toList :: [T] -> T toNumber :: T -> Either String Int
toList [] = Leaf toNumber Leaf = Right 0
toList (x:xs) = Fork x (toList xs) toNumber (Fork Leaf rest) = case toNumber rest of
Right n -> Right (2 * n)
Left err -> Left err
toNumber (Fork (Stem Leaf) rest) = case toNumber rest of
Right n -> Right (1 + 2 * n)
Left err -> Left err
toNumber _ = Left "Invalid Tree Calculus number"
ofList :: T -> [T] toString :: T -> Either String String
ofList Leaf = [] toString tc = case toList tc of
ofList (Fork x rest) = x : ofList rest Right list -> traverse (fmap toEnum . toNumber) list
ofList _ = error "Invalid Tree Calculus list" Left err -> Left "Invalid Tree Calculus string"
toList :: T -> Either String [T]
toList Leaf = Right []
toList (Fork x rest) = case toList rest of
Right xs -> Right (x : xs)
Left err -> Left err
toList _ = Left "Invalid Tree Calculus list"
-- Outputs
formatResult :: EvaluatedForm -> T -> String
formatResult TreeCalculus = toSimpleT . show
formatResult FSL = show
formatResult AST = show . toAST
formatResult Ternary = toTernaryString
formatResult Ascii = toAscii
toSimpleT :: String -> String
toSimpleT s = T.unpack
$ replace "Fork" "t"
$ replace "Stem" "t"
$ replace "Leaf" "t"
$ (T.pack s)
toTernaryString :: T -> String
toTernaryString Leaf = "0"
toTernaryString (Stem t) = "1" ++ toTernaryString t
toTernaryString (Fork t1 t2) = "2" ++ toTernaryString t1 ++ toTernaryString t2
toAST :: T -> TricuAST
toAST Leaf = TLeaf
toAST (Stem a) = TStem (toAST a)
toAST (Fork a b) = TFork (toAST a) (toAST b)
-- Utility
toAscii :: T -> String toAscii :: T -> String
toAscii tree = go tree "" True toAscii tree = go tree "" True
where where
@ -91,41 +147,4 @@ toAscii tree = go tree "" True
++ go left (prefix ++ (if isLast then " " else "| ")) False ++ go left (prefix ++ (if isLast then " " else "| ")) False
++ go right (prefix ++ (if isLast then " " else "| ")) True ++ go right (prefix ++ (if isLast then " " else "| ")) True
rules :: IO () -- Utility
rules = putStr $ header
++ (unlines $ tcRules)
++ (unlines $ haskellRules)
++ footer
where
tcRules :: [String]
tcRules =
[ "| |"
, "| ┌--------- | Tree Calculus | ---------┐ |"
, "| | 1. t t a b -> a | |"
, "| | 2. t (t a) b c -> a c (b c)| |"
, "| | 3a. t (t a b) c t -> a | |"
, "| | 3b. t (t a b) c (t u) -> b u | |"
, "| | 3c. t (t a b) c (t u v) -> c u v | |"
, "| └-------------------------------------┘ |"
, "| |"
]
haskellRules :: [String]
haskellRules =
[ "| ┌------------------------------ | Haskell | --------------------------------┐ |"
, "| | | |"
, "| | data T = Leaf | Stem T | Fork TT | |"
, "| | | |"
, "| | apply :: T -> T -> T | |"
, "| | apply Leaf b = Stem b | |"
, "| | apply (Stem a) b = Fork a b | |"
, "| | apply (Fork Leaf a) _ = a | |"
, "| | apply (Fork (Stem a1) a2) b = apply (apply a1 b) (apply a2 b) | |"
, "| | apply (Fork (Fork a1 a2) a3) Leaf = a1 | |"
, "| | apply (Fork (Fork a1 a2) a3) (Stem u) = apply a2 u | |"
, "| | apply (Fork (Fork a1 a2) a3) (Fork u v) = apply (apply a3 u) v | |"
, "| └---------------------------------------------------------------------------┘ |"
]
header :: String
header = "┌-------------------- | Rules for evaluating Tree Calculus | -------------------┐\n"
footer :: String
footer = "└-------------------- | Rules for evaluating Tree Calculus | -------------------┘\n"

View File

@ -1,241 +1,411 @@
module Main where module Main where
import Eval import Eval
import FileEval
import Lexer import Lexer
import Parser import Parser
import REPL
import Research import Research
import Control.Exception (evaluate, try, SomeException) import Control.Exception (evaluate, try, SomeException)
import qualified Data.Map as Map import Control.Monad.IO.Class (liftIO)
import Test.Tasty import Test.Tasty
import Test.Tasty.HUnit import Test.Tasty.HUnit
import Test.Tasty.QuickCheck import Test.Tasty.QuickCheck
import Text.Megaparsec (runParser) import Text.Megaparsec (runParser)
import qualified Data.Map as Map
import qualified Data.Set as Set
main :: IO () main :: IO ()
main = defaultMain tests main = defaultMain tests
runTricu :: String -> String
runTricu s = show $ result (evalTricu Map.empty $ parseTricu s)
tests :: TestTree tests :: TestTree
tests = testGroup "Sapling Tests" tests = testGroup "Tricu Tests"
[ lexerTests [ lexerTests
, parserTests , parserTests
, integrationTests , evaluationTests
, evaluationTests , lambdaEvalTests
, propertyTests , libraryTests
] , fileEvaluationTests
]
lexerTests :: TestTree lexerTests :: TestTree
lexerTests = testGroup "Lexer Tests" lexerTests = testGroup "Lexer Tests"
[ testCase "Lex simple identifiers" $ do [ testCase "Lex simple identifiers" $ do
let input = "x a b = a" let input = "x a b = a"
expect = Right [LIdentifier "x", LIdentifier "a", LIdentifier "b", LAssign, LIdentifier "a"] expect = Right [LIdentifier "x", LIdentifier "a", LIdentifier "b", LAssign, LIdentifier "a"]
runParser saplingLexer "" input @?= expect runParser tricuLexer "" input @?= expect
, testCase "Lex Tree Calculus terms" $ do , testCase "Lex Tree Calculus terms" $ do
let input = "t t t" let input = "t t t"
expect = Right [LKeywordT, LKeywordT, LKeywordT] expect = Right [LKeywordT, LKeywordT, LKeywordT]
runParser saplingLexer "" input @?= expect runParser tricuLexer "" input @?= expect
, testCase "Lex escaped characters in strings" $ do , testCase "Lex escaped characters in strings" $ do
let input = "\"hello\\nworld\"" let input = "\"hello\\nworld\""
expect = Right [LStringLiteral "hello\\nworld"] expect = Right [LStringLiteral "hello\\nworld"]
runParser saplingLexer "" input @?= expect runParser tricuLexer "" input @?= expect
, testCase "Lex mixed literals" $ do , testCase "Lex mixed literals" $ do
let input = "t \"string\" 42" let input = "t \"string\" 42"
expect = Right [LKeywordT, LStringLiteral "string", LIntegerLiteral 42] expect = Right [LKeywordT, LStringLiteral "string", LIntegerLiteral 42]
runParser saplingLexer "" input @?= expect runParser tricuLexer "" input @?= expect
, testCase "Lex invalid token" $ do , testCase "Lex invalid token" $ do
let input = "$invalid" let input = "&invalid"
case runParser saplingLexer "" input of case runParser tricuLexer "" input of
Left _ -> return () Left _ -> return ()
Right _ -> assertFailure "Expected lexer to fail on invalid token" Right _ -> assertFailure "Expected lexer to fail on invalid token"
, testCase "Drop trailing whitespace in definitions" $ do , testCase "Drop trailing whitespace in definitions" $ do
let input = "x = 5 " let input = "x = 5 "
expect = [LIdentifier "x",LAssign,LIntegerLiteral 5] expect = [LIdentifier "x",LAssign,LIntegerLiteral 5]
case (runParser saplingLexer "" input) of case (runParser tricuLexer "" input) of
Left _ -> assertFailure "Failed to lex input" Left _ -> assertFailure "Failed to lex input"
Right i -> i @?= expect Right i -> i @?= expect
, testCase "Error when using invalid characters in identifiers" $ do , testCase "Error when using invalid characters in identifiers" $ do
case (runParser saplingLexer "" "__result = 5") of case (runParser tricuLexer "" "__result = 5") of
Left _ -> return () Left _ -> return ()
Right _ -> assertFailure "Expected failure when trying to assign the value of __result" Right _ -> assertFailure "Expected failure when trying to assign the value of __result"
] ]
parserTests :: TestTree parserTests :: TestTree
parserTests = testGroup "Parser Tests" parserTests = testGroup "Parser Tests"
[ testCase "Error when parsing incomplete definitions" $ do [ testCase "Error when assigning a value to T" $ do
let input = lexSapling "x = " let tokens = lexTricu "t = x"
case (runParser parseExpression "" input) of case parseSingleExpr tokens of
Left _ -> return () Left _ -> return ()
Right _ -> assertFailure "Expected failure on invalid input" Right _ -> assertFailure "Expected failure when trying to assign the value of T"
, testCase "Error when assigning a value to T" $ do , testCase "Parse function definitions" $ do
let input = lexSapling "t = x" let input = "x = (\\a b c : a)"
case (runParser parseExpression "" input) of expect = SFunc "x" [] (SLambda ["a"] (SLambda ["b"] (SLambda ["c"] (SVar "a"))))
Left _ -> return () parseSingle input @?= expect
Right _ -> assertFailure "Expected failure when trying to assign the value of T" , testCase "Parse nested Tree Calculus terms" $ do
, testCase "Error when parsing bodyless definitions with arguments" $ do let input = "t (t t) t"
let input = lexSapling "x a b = " expect = SApp (SApp TLeaf (SApp TLeaf TLeaf)) TLeaf
case (runParser parseExpression "" input) of parseSingle input @?= expect
Left _ -> return () , testCase "Parse sequential Tree Calculus terms" $ do
Right _ -> assertFailure "Expected failure on invalid input" let input = "t t t"
, testCase "Parse function definitions" $ do expect = SApp (SApp TLeaf TLeaf) TLeaf
let input = "x a b c = a" parseSingle input @?= expect
let expect = SFunc "x" ["a","b","c"] (SVar "a") , testCase "Parse mixed list literals" $ do
parseSingle input @?= expect let input = "[t (\"hello\") t]"
, testCase "Parse nested Tree Calculus terms" $ do expect = SList [TLeaf, SStr "hello", TLeaf]
let input = "t (t t) t" parseSingle input @?= expect
let expect = SApp (SApp TLeaf (SApp TLeaf TLeaf)) TLeaf , testCase "Parse function with applications" $ do
parseSingle input @?= expect let input = "f = (\\x : t x)"
, testCase "Parse sequential Tree Calculus terms" $ do expect = SFunc "f" [] (SLambda ["x"] (SApp TLeaf (SVar "x")))
let input = "t t t" parseSingle input @?= expect
let expect = SApp (SApp TLeaf TLeaf) TLeaf , testCase "Parse nested lists" $ do
parseSingle input @?= expect let input = "[t [(t t)]]"
, testCase "Parse mixed list literals" $ do expect = SList [TLeaf,SList [SApp TLeaf TLeaf]]
let input = "[t (\"hello\") t]" parseSingle input @?= expect
let expect = SList [TLeaf, SStr "hello", TLeaf] , testCase "Parse complex parentheses" $ do
parseSingle input @?= expect let input = "t (t t (t t))"
, testCase "Parse function with applications" $ do expect = SApp TLeaf (SApp (SApp TLeaf TLeaf) (SApp TLeaf TLeaf))
let input = "f x = t x" parseSingle input @?= expect
let expect = SFunc "f" ["x"] (SApp TLeaf (SVar "x")) , testCase "Parse empty list" $ do
parseSingle input @?= expect let input = "[]"
, testCase "Parse nested lists" $ do expect = SList []
let input = "[t [(t t)]]" parseSingle input @?= expect
let expect = SList [TLeaf,SList [SApp TLeaf TLeaf]] , testCase "Parse multiple nested lists" $ do
parseSingle input @?= expect let input = "[[t t] [t (t t)]]"
, testCase "Parse complex parentheses" $ do expect = SList [SList [TLeaf,TLeaf],SList [TLeaf,SApp TLeaf TLeaf]]
let input = "t (t t (t t))" parseSingle input @?= expect
let expect = SApp TLeaf (SApp (SApp TLeaf TLeaf) (SApp TLeaf TLeaf)) , testCase "Parse whitespace variance" $ do
parseSingle input @?= expect let input1 = "[t t]"
, testCase "Parse empty list" $ do let input2 = "[ t t ]"
let input = "[]" expect = SList [TLeaf, TLeaf]
let expect = SList [] parseSingle input1 @?= expect
parseSingle input @?= expect parseSingle input2 @?= expect
, testCase "Parse multiple nested lists" $ do , testCase "Parse string in list" $ do
let input = "[[t t] [t (t t)]]" let input = "[(\"hello\")]"
let expect = SList [SList [TLeaf,TLeaf],SList [TLeaf,SApp TLeaf TLeaf]] expect = SList [SStr "hello"]
parseSingle input @?= expect parseSingle input @?= expect
, testCase "Parse whitespace variance" $ do , testCase "Parse parentheses inside list" $ do
let input1 = "[t t]" let input = "[t (t t)]"
let input2 = "[ t t ]" expect = SList [TLeaf,SApp TLeaf TLeaf]
let expect = SList [TLeaf, TLeaf] parseSingle input @?= expect
parseSingle input1 @?= expect , testCase "Parse nested parentheses in function body" $ do
parseSingle input2 @?= expect let input = "f = (\\x : t (t (t t)))"
, testCase "Parse string in list" $ do expect = SFunc "f" [] (SLambda ["x"] (SApp TLeaf (SApp TLeaf (SApp TLeaf TLeaf))))
let input = "[(\"hello\")]" parseSingle input @?= expect
let expect = SList [SStr "hello"] , testCase "Parse lambda abstractions" $ do
parseSingle input @?= expect let input = "(\\a : a)"
, testCase "Parse parentheses inside list" $ do expect = (SLambda ["a"] (SVar "a"))
let input = "[t (t t)]" parseSingle input @?= expect
let expect = SList [TLeaf,SApp TLeaf TLeaf] , testCase "Parse multiple arguments to lambda abstractions" $ do
parseSingle input @?= expect let input = "x = (\\a b : a)"
, testCase "Parse nested parentheses in function body" $ do expect = SFunc "x" [] (SLambda ["a"] (SLambda ["b"] (SVar "a")))
let input = "f = t (t (t t))" parseSingle input @?= expect
let expect = SFunc "f" [] (SApp TLeaf (SApp TLeaf (SApp TLeaf TLeaf))) , testCase "Grouping T terms with parentheses in function application" $ do
parseSingle input @?= expect let input = "x = (\\a : a)\nx (t)"
, testCase "Parse lambda abstractions" $ do expect = [SFunc "x" [] (SLambda ["a"] (SVar "a")),SApp (SVar "x") TLeaf]
let input = "(\\a : a)" parseTricu input @?= expect
let expect = (SLambda ["a"] (SVar "a")) , testCase "Comments 1" $ do
parseSingle input @?= expect let input = "(t) (t) -- (t)"
, testCase "Parse multiple arguments to lambda abstractions" $ do expect = [SApp TLeaf TLeaf]
let input = "x = (\\a b : a)" parseTricu input @?= expect
let expect = SFunc "x" [] (SLambda ["a"] (SLambda ["b"] (SVar "a"))) , testCase "Comments 2" $ do
parseSingle input @?= expect let input = "(t) -- (t) -- (t)"
, testCase "Grouping T terms with parentheses in function application" $ do expect = [TLeaf]
let input = "x = (\\a : a)\n" <> "x (t)" parseTricu input @?= expect
expect = [SFunc "x" [] (SLambda ["a"] (SVar "a")),SApp (SVar "x") TLeaf] ]
parseSapling input @?= expect
]
integrationTests :: TestTree
integrationTests = testGroup "Integration Tests"
[ testCase "Combine lexer and parser" $ do
let input = "x = t t t"
let expect = SFunc "x" [] (SApp (SApp TLeaf TLeaf) TLeaf)
parseSingle input @?= expect
, testCase "Complex Tree Calculus expression" $ do
let input = "t (t t t) t"
let expect = SApp (SApp TLeaf (SApp (SApp TLeaf TLeaf) TLeaf)) TLeaf
parseSingle input @?= expect
]
evaluationTests :: TestTree evaluationTests :: TestTree
evaluationTests = testGroup "Evaluation Tests" evaluationTests = testGroup "Evaluation Tests"
[ testCase "Evaluate single Leaf" $ do [ testCase "Evaluate single Leaf" $ do
let input = "t" let input = "t"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= Leaf (result $ evalSingle Map.empty ast) @?= Leaf
, testCase "Evaluate single Stem" $ do , testCase "Evaluate single Stem" $ do
let input = "t t" let input = "t t"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= Stem Leaf (result $ evalSingle Map.empty ast) @?= Stem Leaf
, testCase "Evaluate single Fork" $ do , testCase "Evaluate single Fork" $ do
let input = "t t t" let input = "t t t"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= Fork Leaf Leaf (result $ evalSingle Map.empty ast) @?= Fork Leaf Leaf
, testCase "Evaluate nested Fork and Stem" $ do , testCase "Evaluate nested Fork and Stem" $ do
let input = "t (t t) t" let input = "t (t t) t"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= Fork (Stem Leaf) Leaf (result $ evalSingle Map.empty ast) @?= Fork (Stem Leaf) Leaf
, testCase "Evaluate `not` function" $ do , testCase "Evaluate `not` function" $ do
let input = "t (t (t t) (t t t)) t" let input = "t (t (t t) (t t t)) t"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= (result $ evalSingle Map.empty ast) @?=
Fork (Fork (Stem Leaf) (Fork Leaf Leaf)) Leaf Fork (Fork (Stem Leaf) (Fork Leaf Leaf)) Leaf
, testCase "Environment updates with definitions" $ do , testCase "Environment updates with definitions" $ do
let input = "x = t\ny = x" let input = "x = t\ny = x"
let env = evalSapling Map.empty (parseSapling input) env = evalTricu Map.empty (parseTricu input)
Map.lookup "x" env @?= Just Leaf Map.lookup "x" env @?= Just Leaf
Map.lookup "y" env @?= Just Leaf Map.lookup "y" env @?= Just Leaf
, testCase "Variable substitution" $ do , testCase "Variable substitution" $ do
let input = "x = t t\ny = t x\ny" let input = "x = t t\ny = t x\ny"
let env = evalSapling Map.empty (parseSapling input) env = evalTricu Map.empty (parseTricu input)
(result env) @?= Stem (Stem Leaf) (result env) @?= Stem (Stem Leaf)
, testCase "Multiline input evaluation" $ do , testCase "Multiline input evaluation" $ do
let input = "x = t\ny = t t\nx" let input = "x = t\ny = t t\nx"
let env = evalSapling Map.empty (parseSapling input) env = evalTricu Map.empty (parseTricu input)
(result env) @?= Leaf (result env) @?= Leaf
, testCase "Evaluate string literal" $ do , testCase "Evaluate string literal" $ do
let input = "\"hello\"" let input = "\"hello\""
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= toString "hello" (result $ evalSingle Map.empty ast) @?= ofString "hello"
, testCase "Evaluate list literal" $ do , testCase "Evaluate list literal" $ do
let input = "[t (t t)]" let input = "[t (t t)]"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= toList [Leaf, Stem Leaf] (result $ evalSingle Map.empty ast) @?= ofList [Leaf, Stem Leaf]
, testCase "Evaluate empty list" $ do , testCase "Evaluate empty list" $ do
let input = "[]" let input = "[]"
let ast = parseSingle input let ast = parseSingle input
(result $ evalSingle Map.empty ast) @?= toList [] (result $ evalSingle Map.empty ast) @?= ofList []
, testCase "Evaluate variable dependency chain" $ do , testCase "Evaluate variable dependency chain" $ do
let input = "x = t (t t)\n \ let input = "x = t (t t)\n \
\ y = x\n \ \ y = x\n \
\ z = y\n \ \ z = y\n \
\ variablewithamuchlongername = z\n \ \ variablewithamuchlongername = z\n \
\ variablewithamuchlongername" \ variablewithamuchlongername"
let env = evalSapling Map.empty (parseSapling input) env = evalTricu Map.empty (parseTricu input)
(result env) @?= (Stem (Stem Leaf)) (result env) @?= (Stem (Stem Leaf))
, testCase "Evaluate variable shadowing" $ do , testCase "Evaluate variable shadowing" $ do
let input = "x = t t\nx = t\nx" let input = "x = t t\nx = t\nx"
let env = evalSapling Map.empty (parseSapling input) env = evalTricu Map.empty (parseTricu input)
(result env) @?= Leaf (result env) @?= Leaf
, testCase "Lambda identity" $ do , testCase "Apply identity to Boolean Not" $ do
let input = "(\\a : a)" let not = "(t (t (t t) (t t t)) t)"
env = evalSapling Map.empty (parseSapling input) let input = "x = (\\a : a)\nx " ++ not
result env @?= Fork (Stem (Stem Leaf)) (Stem Leaf) env = evalTricu Map.empty (parseTricu input)
, testCase "Apply identity to Boolean Not" $ do result env @?= Fork (Fork (Stem Leaf) (Fork Leaf Leaf)) Leaf
let not = "(t (t (t t) (t t t)) t)" ]
input = "x = (\\a : a)\nx " ++ not
env = evalSapling Map.empty (parseSapling input)
result env @?= Fork (Fork (Stem Leaf) (Fork Leaf Leaf)) Leaf
, testCase "Constant function matches" $ do
let input = "k = (\\a b : a)\nk (t t) t"
env = evalSapling Map.empty (parseSapling input)
result env @?= Stem Leaf
]
propertyTests :: TestTree lambdaEvalTests :: TestTree
propertyTests = testGroup "Property Tests" lambdaEvalTests = testGroup "Lambda Evaluation Tests"
[ testProperty "Lexing and parsing round-trip" $ \input -> [ testCase "Lambda Identity Function" $ do
case runParser saplingLexer "" input of let input = "id = (\\x : x)\nid t"
Left _ -> property True runTricu input @?= "Leaf"
Right tokens -> case runParser parseExpression "" tokens of , testCase "Lambda Constant Function (K combinator)" $ do
Left _ -> property True let input = "k = (\\x y : x)\nk t (t t)"
Right ast -> parseSingle input === ast runTricu input @?= "Leaf"
] , testCase "Lambda Application with Variable" $ do
let input = "id = (\\x : x)\nval = t t\nid val"
runTricu input @?= "Stem Leaf"
, testCase "Lambda Application with Multiple Arguments" $ do
let input = "apply = (\\f x y : f x y)\nk = (\\a b : a)\napply k t (t t)"
runTricu input @?= "Leaf"
, testCase "Nested Lambda Application" $ do
let input = "apply = (\\f x y : f x y)\nid = (\\x : x)\napply (\\f x : f x) id t"
runTricu input @?= "Leaf"
, testCase "Lambda with a complex body" $ do
let input = "f = (\\x : t (t x))\nf t"
runTricu input @?= "Stem (Stem Leaf)"
, testCase "Lambda returning a function" $ do
let input = "f = (\\x : (\\y : x))\ng = f t\ng (t t)"
runTricu input @?= "Leaf"
, testCase "Lambda with Shadowing" $ do
let input = "f = (\\x : (\\x : x))\nf t (t t)"
runTricu input @?= "Stem Leaf"
, testCase "Lambda returning another lambda" $ do
let input = "k = (\\x : (\\y : x))\nk_app = k t\nk_app (t t)"
runTricu input @?= "Leaf"
, testCase "Lambda with free variables" $ do
let input = "y = t t\nf = (\\x : y)\nf t"
runTricu input @?= "Stem Leaf"
, testCase "SKI Composition" $ do
let input = "s = (\\x y z : x z (y z))\nk = (\\x y : x)\ni = (\\x : x)\ncomp = s k i\ncomp t (t t)"
runTricu input @?= "Stem (Stem Leaf)"
, testCase "Lambda with multiple parameters and application" $ do
let input = "f = (\\a b c : t a b c)\nf t (t t) (t t t)"
runTricu input @?= "Stem Leaf"
, testCase "Lambda with nested application in the body" $ do
let input = "f = (\\x : t (t (t x)))\nf t"
runTricu input @?= "Stem (Stem (Stem Leaf))"
, testCase "Lambda returning a function and applying it" $ do
let input = "f = (\\x : (\\y : t x y))\ng = f t\ng (t t)"
runTricu input @?= "Fork Leaf (Stem Leaf)"
, testCase "Lambda applying a variable" $ do
let input = "id = (\\x : x)\na = t t\nid a"
runTricu input @?= "Stem Leaf"
, testCase "Nested lambda abstractions in the same expression" $ do
let input = "f = (\\x : (\\y : x y))\ng = (\\z : z)\nf g t"
runTricu input @?= "Leaf"
, testCase "Lambda with a string literal" $ do
let input = "f = (\\x : x)\nf \"hello\""
runTricu input @?= "Fork (Fork Leaf (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) Leaf))))"
, testCase "Lambda with an integer literal" $ do
let input = "f = (\\x : x)\nf 42"
runTricu input @?= "Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) Leaf)))))"
, testCase "Lambda with a list literal" $ do
let input = "f = (\\x : x)\nf [t (t t)]"
runTricu input @?= "Fork Leaf (Fork (Stem Leaf) Leaf)"
]
libraryTests :: TestTree
libraryTests = testGroup "Library Tests"
[ testCase "K combinator 1" $ do
library <- evaluateFile "./lib/base.tri"
let input = "k (t) (t t)"
env = evalTricu library (parseTricu input)
result env @?= Leaf
, testCase "K combinator 2" $ do
library <- evaluateFile "./lib/base.tri"
let input = "k (t t) (t)"
env = evalTricu library (parseTricu input)
result env @?= Stem Leaf
, testCase "K combinator 3" $ do
library <- evaluateFile "./lib/base.tri"
let input = "k (t t t) (t)"
env = evalTricu library (parseTricu input)
result env @?= Fork Leaf Leaf
, testCase "S combinator" $ do
library <- evaluateFile "./lib/base.tri"
let input = "s (t) (t) (t)"
env = evalTricu library (parseTricu input)
result env @?= Fork Leaf (Stem Leaf)
, testCase "SKK == I (fully expanded)" $ do
library <- evaluateFile "./lib/base.tri"
let input = "s k k"
env = evalTricu library (parseTricu input)
result env @?= Fork (Stem (Stem Leaf)) (Stem Leaf)
, testCase "I combinator" $ do
library <- evaluateFile "./lib/base.tri"
let input = "i not?"
env = evalTricu library (parseTricu input)
result env @?= Fork (Fork (Stem Leaf) (Fork Leaf Leaf)) (Fork Leaf (Fork Leaf Leaf))
, testCase "Triage test Leaf" $ do
library <- evaluateFile "./lib/base.tri"
let input = "test t"
env = decodeResult $ result $ evalTricu library (parseTricu input)
env @?= "\"Leaf\""
, testCase "Triage test (Stem Leaf)" $ do
library <- evaluateFile "./lib/base.tri"
let input = "test (t t)"
env = decodeResult $ result $ evalTricu library (parseTricu input)
env @?= "\"Stem\""
, testCase "Triage test (Fork Leaf Leaf)" $ do
library <- evaluateFile "./lib/base.tri"
let input = "test (t t t)"
env = decodeResult $ result $ evalTricu library (parseTricu input)
env @?= "\"Fork\""
, testCase "Boolean NOT: true" $ do
library <- evaluateFile "./lib/base.tri"
let input = "not? true"
env = result $ evalTricu library (parseTricu input)
env @?= Leaf
, testCase "Boolean NOT: false" $ do
library <- evaluateFile "./lib/base.tri"
let input = "not? false"
env = result $ evalTricu library (parseTricu input)
env @?= Stem Leaf
, testCase "Boolean AND TF" $ do
library <- evaluateFile "./lib/base.tri"
let input = "and? (t t) (t)"
env = evalTricu library (parseTricu input)
result env @?= Leaf
, testCase "Boolean AND FT" $ do
library <- evaluateFile "./lib/base.tri"
let input = "and? (t) (t t)"
env = evalTricu library (parseTricu input)
result env @?= Leaf
, testCase "Boolean AND FF" $ do
library <- evaluateFile "./lib/base.tri"
let input = "and? (t) (t)"
env = evalTricu library (parseTricu input)
result env @?= Leaf
, testCase "Boolean AND TT" $ do
library <- evaluateFile "./lib/base.tri"
let input = "and? (t t) (t t)"
env = evalTricu library (parseTricu input)
result env @?= Stem Leaf
, testCase "List head" $ do
library <- evaluateFile "./lib/base.tri"
let input = "head [(t) (t t) (t t t)]"
env = evalTricu library (parseTricu input)
result env @?= Leaf
, testCase "List tail" $ do
library <- evaluateFile "./lib/base.tri"
let input = "head (tail (tail [(t) (t t) (t t t)]))"
env = evalTricu library (parseTricu input)
result env @?= Fork Leaf Leaf
, testCase "List map" $ do
library <- evaluateFile "./lib/base.tri"
let input = "head (tail (map (\\a : (t t t)) [(t) (t) (t)]))"
env = evalTricu library (parseTricu input)
result env @?= Fork Leaf Leaf
, testCase "Empty list check" $ do
library <- evaluateFile "./lib/base.tri"
let input = "emptyList? []"
env = evalTricu library (parseTricu input)
result env @?= Stem Leaf
, testCase "Non-empty list check" $ do
library <- evaluateFile "./lib/base.tri"
let input = "not? (emptyList? [(1) (2) (3)])"
env = evalTricu library (parseTricu input)
result env @?= Stem Leaf
, testCase "Concatenate strings" $ do
library <- evaluateFile "./lib/base.tri"
let input = "lconcat \"Hello, \" \"world!\""
env = decodeResult $ result $ evalTricu library (parseTricu input)
env @?= "\"Hello, world!\""
, testCase "Verifying Equality" $ do
library <- evaluateFile "./lib/base.tri"
let input = "equal? (t t t) (t t t)"
env = evalTricu library (parseTricu input)
result env @?= Stem Leaf
]
fileEvaluationTests :: TestTree
fileEvaluationTests = testGroup "Evaluation tests"
[ testCase "Forks" $ do
res <- liftIO $ evaluateFileResult "./test/fork.tri"
res @?= Fork Leaf Leaf
, testCase "File ends with comment" $ do
res <- liftIO $ evaluateFileResult "./test/comments-1.tri"
res @?= Fork (Stem Leaf) Leaf
, testCase "Mapping and Equality" $ do
res <- liftIO $ evaluateFileResult "./test/map.tri"
res @?= Stem Leaf
, testCase "Eval and decoding string" $ do
library <- liftIO $ evaluateFile "./lib/base.tri"
res <- liftIO $ evaluateFileWithContext library "./test/string.tri"
decodeResult (result res) @?= "\"String test!\""
]

1
test/ascii.tri Normal file
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@ -0,0 +1 @@
t (t (t (t (t t) (t t t)) t) t t) t

1
test/assignment.tri Normal file
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@ -0,0 +1 @@
x = t (t t) t

9
test/comments-1.tri Normal file
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@ -0,0 +1,9 @@
-- This is a tricu comment!
-- t (t t) (t (t t t))
-- t (t t t) (t t)
-- x = (\a : a)
t (t t) t -- Fork (Stem Leaf) Leaf
-- t t
-- x
-- x = (\a : a)
-- t

1
test/fork.tri Normal file
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@ -0,0 +1 @@
t t t

24
test/map.tri Normal file
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@ -0,0 +1,24 @@
false = t
true = t t
_ = t
k = t t
i = t (t k) t
s = t (t (k t)) t
m = s i i
b = s (k s) k
c = s (s (k s) (s (k k) s)) (k k)
iC = (\a b c : s a (k c) b)
yi = (\i : b m (c b (i m)))
y = yi iC
triage = (\a b c : t (t a b) c)
pair = t
matchList = (\oe oc : triage oe _ oc)
lconcat = y (\self : matchList (\k : k) (\h r k : pair h (self r k)))
hmap = y (\self : matchList (\f : t) (\hd tl f : pair (f hd) (self tl f)))
map = (\f l : hmap l f)
lAnd = triage (\x : false) (\_ x : x) (\_ _ x : x)
lOr = triage (\x : x) (\_ _ : true) (\_ _ x : true)
equal = y (\self : triage (triage true (\z : false) (\y z : false)) (\ax : triage false (self ax) (\y z : false)) (\ax ay : triage false (\z : false) (\bx by : lAnd (self ax bx) (self ay by))))
x = map (\i : lconcat "Successfully concatenated " i) [("two strings!")]
equal x [("Successfully concatenated two strings!")]

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@ -0,0 +1 @@
head (map (\i : lconcat "String " i) [("test!")])

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@ -1,8 +1,8 @@
cabal-version: 1.12 cabal-version: 1.12
name: sapling name: tricu
version: 0.2.0 version: 0.7.0
description: Tree Calculus experiment repository description: A micro-language for exploring Tree Calculus
author: James Eversole author: James Eversole
maintainer: james@eversole.co maintainer: james@eversole.co
copyright: James Eversole copyright: James Eversole
@ -12,48 +12,57 @@ build-type: Simple
extra-source-files: extra-source-files:
README.md README.md
executable sapling executable tricu
main-is: Main.hs main-is: Main.hs
hs-source-dirs: hs-source-dirs:
src src
default-extensions: default-extensions:
ConstraintKinds DeriveDataTypeable
DataKinds LambdaCase
DeriveGeneric MultiWayIf
FlexibleContexts
FlexibleInstances
GeneralizedNewtypeDeriving
OverloadedStrings OverloadedStrings
ScopedTypeVariables
ghc-options: -threaded -rtsopts -with-rtsopts=-N -optl-pthread -fPIC ghc-options: -threaded -rtsopts -with-rtsopts=-N -optl-pthread -fPIC
build-depends: build-depends:
base >=4.7 base >=4.7
, cmdargs
, containers , containers
, haskeline
, megaparsec , megaparsec
, mtl , mtl
, text
other-modules: other-modules:
Eval Eval
FileEval
Lexer Lexer
Parser Parser
REPL REPL
Research Research
default-language: Haskell2010 default-language: Haskell2010
test-suite sapling-tests test-suite tricu-tests
type: exitcode-stdio-1.0 type: exitcode-stdio-1.0
main-is: Spec.hs main-is: Spec.hs
hs-source-dirs: test, src hs-source-dirs: test, src
default-extensions:
DeriveDataTypeable
LambdaCase
MultiWayIf
OverloadedStrings
build-depends: build-depends:
base base
, cmdargs
, containers , containers
, haskeline
, megaparsec , megaparsec
, mtl , mtl
, tasty , tasty
, tasty-hunit , tasty-hunit
, tasty-quickcheck , tasty-quickcheck
, text
default-language: Haskell2010 default-language: Haskell2010
other-modules: other-modules:
Eval Eval
FileEval
Lexer Lexer
Parser Parser
REPL REPL