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Limited monomorphic-only Damas-Hindley-Milner implemented in types

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This commit is contained in:
Nathan Braswell
2021-01-24 02:53:55 -05:00
parent f0d3be32f6
commit 0a056ebef2
4 changed files with 86 additions and 39 deletions
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11
k_prime.krak
View File

@@ -835,6 +835,13 @@ fun main(argc: int, argv: **char): int {
return make_pair(null<KPEnv>(), KPResult::Ok(kpBool(params[0].is_symbol())))
}));
env->set(str("int?"), make_builtin_combiner(str("symbol?"), 1, false, fun(params: vec<KPValue>, dynamic_env: *KPEnv): pair<*KPEnv, KPResult> {
if params.size != 1 {
return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Need 1 param to int?"))))
}
return make_pair(null<KPEnv>(), KPResult::Ok(kpBool(params[0].is_int())))
}));
env->set(str("str-to-symbol"), make_builtin_combiner(str("str-to-symbol"), 1, false, fun(params: vec<KPValue>, dynamic_env: *KPEnv): pair<*KPEnv, KPResult> {
if params.size != 1 {
return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Need 1 param to str-to-symbol"))))
@@ -869,7 +876,7 @@ fun main(argc: int, argv: **char): int {
return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Need 1 param to len"))))
}
if !params[0].is_array() && !params[0].is_string() {
return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Called len with not an array/string ") + pr_str(params[0], true))))
return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Called len with not an array/string ") + pr_str(params[0], true) + "\nenv was\n" + dynamic_env->to_string())))
}
if params[0].is_array() {
return make_pair(null<KPEnv>(), KPResult::Ok(kpInt(params[0].get_array_rc().get().size)))
@@ -882,7 +889,7 @@ fun main(argc: int, argv: **char): int {
return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Need 2 params to idx"))))
}
if !params[0].is_array() && !params[0].is_string() { return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Param 1 to idx is not string or array") + pr_str(params[0], true)))); }
if !params[1].is_int() { return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Param 2 to idx is not int")))); }
if !params[1].is_int() { return make_pair(null<KPEnv>(), KPResult::Err(kpString(str("Param 2 to idx is not int ") + pr_str(params[1], true)))); }
var index = params[1].get_int()
if index < 0 {

17
prelude.kp
View File

@@ -98,6 +98,22 @@
n
(recurse f l (concat n (f (idx l i))) (+ i 1)))))
(helper f l (array) 0)))
flat_map_i (lambda (f l)
(let (helper (rec-lambda recurse (f l n i)
(if (= i (len l))
n
(recurse f l (concat n (f i (idx l i))) (+ i 1)))))
(helper f l (array) 0)))
; with all this, we make a destrucutring-capable let
let (let (
destructure_helper (rec-lambda recurse (vs i r)
(cond (= (len vs) i) r
(array? (idx vs i)) (let (bad_sym (str-to-symbol (str (idx vs i)))
new_vs (flat_map_i (lambda (i x) (array x (array idx bad_sym i))) (idx vs i))
)
(recurse (concat new_vs (slice vs (+ i 2) -1)) 0 (concat r (array bad_sym (idx vs (+ i 1))))))
true (recurse vs (+ i 2) (concat r (slice vs i (+ i 2))))
))) (vau de (vs b) (vapply let (array (destructure_helper vs 0 (array)) b) de)))
is_pair? (lambda (x) (and (array? x) (> (len x) 0)))
@@ -173,6 +189,7 @@
map
map_i
flat_map
flat_map_i
lapply
vapply
Y

95
types.kp
View File

@@ -7,54 +7,72 @@
(recurse dict key (+ i 1))))))
(lambda (dict key) (lookup-helper dict key 0)))
with_type (lambda (exp typ) [exp typ])
get_exp (lambda (et) (idx et 0))
get_typ (lambda (et) (idx et 1))
get_ret_typ (lambda (f_typ) (idx f_typ 1))
get_params_typs (lambda (f_typ) (idx f_typ 0))
types_match (lambda (t1 t2) (= t1 t2))
contains (let (contains-helper (rec-lambda recurse (s x i) (cond (= i (len s)) false
(= x (idx s i)) true
true (recurse s x (+ i 1)))))
(lambda (s x) (contains-helper s x 0)))
execute_type_com (lambda (tc e) (tc e))
applyST (rec-lambda recurse (S t)
(cond
(int? t) (or (lookup S t) t)
(array? t) (map (lambda (x) (recurse S x)) t)
true t
))
applySE (lambda (S env) (map (lambda (x) [(idx x 0) (applyST S (idx x 1))]) env))
applySS (lambda (S_0 S_1) (let (r (concat S_0 (applySE S_0 S_1)) _ (println "applySS of " S_0 " and " S_1 " is " r)) r))
fvT (rec-lambda recurse (t) (cond (symbol? t) [t]
(array? t) (flat_map recurse t)
true []
))
fvE (lambda (env) (flat_map (lambda (x) (fvT (idx x 1))) env))
varBind (lambda (a b) (cond
(= a b) []
(contains (fvT b) a) (error "Contains check failed for " a " and " b)
true [ [a b] ]))
mgu (rec-lambda mgu (a b) (let (r (cond
(and (array? a) (array? b) (= (len a) (len b))) ((rec-lambda recurse (S i) (if (= i (len a)) S
(recurse (applySS (mgu (idx a i) (idx b i)) S) (+ 1 i)))) [] 0)
(int? a) (varBind a b)
(int? b) (varBind b a)
(= a b) []
true (error (str "Cannot unify " a " " b))
) _ (println "mgu of " a " and " b " is " r)) r))
simple_type_com (lambda (exp typ) (lambda (env) (with_type exp typ)))
symbol_type_com (lambda (sym) (lambda (env) (with_type sym (lookup env sym))))
execute_type_com (lambda (tc e idn) (tc e idn))
simple_type_com (lambda (exp typ) (lambda (env idn) [exp typ [] idn]))
symbol_type_com (lambda (sym) (lambda (env idn) [sym (lookup env sym) [] idn]))
parameter_types_match (let (pmth (rec-lambda recurse (l1 l2 i) (cond (= i (len l1)) true
(types_match (idx l1 i) (idx l2 i)) (recurse l1 l2 (+ i 1))
true false)))
(lambda (f_t pt) (let (fp_t (get_params_typs f_t))
(if (= (len fp_t) (len pt))
(pmth fp_t pt 0)
false))))
call_type_com (lambda (innards)
(lambda (env)
(lambda (env idn)
(if (= 0 (len innards)) (error "stlc_error: Can't have a 0-length call")
(let (
f_et (execute_type_com (idx innards 0) env)
f_e (get_exp f_et)
f_t (get_typ f_et)
p_et (map (lambda (x) (execute_type_com x env)) (slice innards 1 -1))
p_e (map get_exp p_et)
p_t (map get_typ p_et)
) (if (parameter_types_match f_t p_t)
(with_type (cons f_e p_e) (get_ret_typ f_t))
(error (str "Function type (" f_t ") does not match parameter types (" p_t ")"))
)
)
(f_e f_t S_0 idn) (execute_type_com (idx innards 0) env idn)
across_params (rec-lambda recurse (env S idn params i out_e out_t)
(if (= i (len params)) [out_e out_t S idn]
(let (
(p_e p_t S_i idn) (execute_type_com (idx params i) env idn)
) (recurse (applySE S_i env) (applySS S_i S) idn params (+ 1 i) (concat out_e [p_e]) (concat out_t [p_t])))))
(p_es p_ts S_ps idn) (across_params (applySE S_0 env) [] idn (slice innards 1 -1) 0 [] [])
(r_t idn) [idn (+ 1 idn)]
S_f (mgu (applyST S_ps f_t) [p_ts r_t])
_ (println "mgu of " (applyST S_ps f_t) " and " [p_ts r_t] " produces substitution " S_f)
_ (println "For this call: " (cons f_e p_es) " the return type " r_t " transformed by " S_f " is " (applyST S_f r_t))
) [(cons f_e p_es) (applyST S_f r_t) (applySS S_f (applySS S_ps S_0)) idn])
)
)
)
lambda_type_com (lambda (p t b)
(lambda (env)
(lambda (env idn)
(let (
extended_env (cons [p t] env)
b_et (execute_type_com b extended_env)
b_t (get_typ b_et)
b_e (get_exp b_et)
(p_t idn) (if (= nil t) [idn (+ 1 idn)]
[t idn])
extended_env (cons [p p_t] env)
(b_e b_t S idn) (execute_type_com b extended_env idn)
f_e [lambda [p] b_e]
f_t [[t] b_t]
) (with_type f_e f_t))
f_t [[ (applyST S p_t) ] b_t]
) [f_e f_t S idn])
)
)
@@ -68,6 +86,10 @@
current_env (vau de () de)
syms (map (lambda (x) (idx x 0)) base_env)
builtin_real_env (eval (concat (vapply provide syms root_env) [[current_env]]) empty_env)
top-level-erase-and-check (lambda (e) (let (
(e t S idn) (execute_type_com e base_env 0)
_ (println "Type of program is " t " with sub " S)
) e))
stlc (concat basic_rules [
@@ -80,12 +102,13 @@
)
) ]
[ 'expr [ "\\\\" 'WS * 'bool_nil_symbol 'WS * ":" 'WS * 'bool_nil_symbol 'WS * "." 'WS * 'expr ] (lambda (_ _ p _ _ _ t _ _ _ b) (lambda_type_com p t b)) ]
[ 'expr [ "\\\\" 'WS * 'bool_nil_symbol 'WS * "." 'WS * 'expr ] (lambda (_ _ p _ _ _ b) (lambda_type_com p nil b)) ]
[ 'call_innards [ 'WS * ] (lambda (_) []) ]
[ 'call_innards [ 'expr [ 'WS 'expr ] * ] (lambda (f r) (cons f (map (lambda (x) (idx x 1)) r))) ]
[ 'expr [ "\\(" 'call_innards "\\)" ] (lambda (_ innards _) (call_type_com innards)) ]
[ 'stlc_start_symbol [ 'WS * 'expr 'WS * ] (lambda (_ e _) [eval (get_exp (execute_type_com e base_env)) builtin_real_env]) ]
[ 'stlc_start_symbol [ 'WS * 'expr 'WS * ] (lambda (_ e _) [eval (top-level-erase-and-check e) builtin_real_env]) ]
]))
(provide stlc)

2
types_test.kp
View File

@@ -1,2 +1,2 @@
#lang (with_import "./types.kp" stlc) stlc_start_symbol
(\ x : int . (+ x 1) 2)
(\ x . (+ x 1337) 12)