use rand::Rng; use std::fs::read_to_string; mod ast; use ast::*; mod parser; use parser::*; pub fn run(arg: &str) -> String { let content = read_to_string(arg).unwrap(); let value = parse(&content.to_string()); let result = interpret(&value); result.to_string() } fn interpret(arg: &Value) -> Value { match arg { Value::App(l, r) => { let result = apply(&interpret(l), &interpret(r)); if result == *arg { result } else { interpret(&result) } } other => other.clone(), } } fn apply(l: &Value, r: &Value) -> Value { if let Value::Lam(v, body) = l { subst(v, body, r) } else { Value::App(Box::new(l.clone()), Box::new(r.clone())) } } fn subst(var: &str, body: &Value, e: &Value) -> Value { match body { Value::Sym(x) if x == var => e.clone(), Value::Lam(x, b) if x == var => { let y = gensym(); let bd = subst(x, b, &Value::Sym(y.clone())); Value::Lam(y, Box::new(bd)) } Value::Lam(x, b) => Value::Lam(x.to_string(), Box::new(subst(var, b, e))), Value::App(l, r) => Value::App(Box::new(subst(var, l, e)), Box::new(subst(var, r, e))), other => other.clone(), } } fn gensym() -> String { let mut rng = rand::thread_rng(); let n1: u8 = rng.gen(); format!("x_{}", n1) } #[cfg(test)] mod lambda_test { use crate::{interpret, parse, Value}; #[test] fn evaluating_a_non_reducible_value_yields_itself() { let value = parse("(foo 12)"); assert_eq!(value, interpret(&value)); } #[test] fn evaluating_application_on_an_abstraction_reduces_it() { let value = parse("((lam x x) 12)"); assert_eq!(Value::Num(12), interpret(&value)); } #[test] fn substitution_occurs_within_abstraction_body() { let value = parse("(((lam x (lam y x)) 13) 12)"); assert_eq!(Value::Num(13), interpret(&value)); } #[test] fn substitution_occurs_within_application_body() { let value = parse("(((lam x (lam y (y x))) 13) 12)"); assert_eq!( Value::App(Box::new(Value::Num(12)), Box::new(Value::Num(13))), interpret(&value) ); } #[test] fn substitution_does_not_capture_free_variables() { let value = parse("(((lam x (lam x x)) 13) 12)"); assert_eq!(Value::Num(12), interpret(&value)); } #[test] fn interpretation_applies_to_both_sides_of_application() { let value = parse("((lam x x) ((lam x x) 12))"); assert_eq!(Value::Num(12), interpret(&value)); } #[test] fn reduction_is_applied_until_normal_form_is_reached() { let value = parse("((((lam y (lam x (lam y (x y)))) 13) (lam x x)) 11)"); assert_eq!(Value::Num(11), interpret(&value)); } }