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-rw-r--r--dhall/src/normalize.rs433
-rw-r--r--dhall/src/typecheck.rs6
2 files changed, 206 insertions, 233 deletions
diff --git a/dhall/src/normalize.rs b/dhall/src/normalize.rs
index 966d032..cd4669d 100644
--- a/dhall/src/normalize.rs
+++ b/dhall/src/normalize.rs
@@ -3,82 +3,60 @@ use dhall_core::*;
use dhall_generator::dhall_expr;
use std::fmt;
-fn apply_builtin<S, A>(
- b: Builtin,
- mut args: Vec<SubExpr<S, A>>,
-) -> SubExpr<S, A>
+fn apply_builtin<S, A>(b: Builtin, args: &Vec<Expr<S, A>>) -> WhatNext<S, A>
where
- S: fmt::Debug,
- A: fmt::Debug,
+ S: fmt::Debug + Clone,
+ A: fmt::Debug + Clone,
{
use dhall_core::Builtin::*;
use dhall_core::ExprF::*;
- let f = rc(Builtin(b));
- // How many arguments a builtin needs, and which argument
- // should be normalized and pattern-matched
- let (len_consumption, arg_to_eval) = match b {
- OptionalSome => (1, None),
- OptionalNone => (1, None),
- NaturalIsZero => (1, Some(0)),
- NaturalEven => (1, Some(0)),
- NaturalOdd => (1, Some(0)),
- NaturalToInteger => (1, Some(0)),
- NaturalShow => (1, Some(0)),
- ListLength => (2, Some(1)),
- ListHead => (2, Some(1)),
- ListLast => (2, Some(1)),
- ListReverse => (2, Some(1)),
- ListIndexed => (2, Some(1)),
- ListBuild => (2, Some(1)),
- OptionalBuild => (2, Some(1)),
- ListFold => (5, Some(1)),
- OptionalFold => (5, Some(1)),
- NaturalBuild => (1, Some(0)),
- NaturalFold => (4, Some(0)),
- _ => (0, None),
- };
- // Abort if not enough arguments present
- if len_consumption > args.len() {
- return rc(App(f, args));
- }
- // Normalize the important argument
- if let Some(i) = arg_to_eval {
- args[i] = SubExpr::clone(&normalize_whnf(&args[i]));
- }
- let evaled_arg = arg_to_eval.map(|i| args[i].as_ref());
-
- let ret = match (b, evaled_arg, args.as_slice()) {
- (OptionalSome, _, [x, ..]) => rc(NEOptionalLit(SubExpr::clone(x))),
- (OptionalNone, _, [t, ..]) => rc(EmptyOptionalLit(SubExpr::clone(t))),
- (NaturalIsZero, Some(NaturalLit(n)), _) => rc(BoolLit(*n == 0)),
- (NaturalEven, Some(NaturalLit(n)), _) => rc(BoolLit(*n % 2 == 0)),
- (NaturalOdd, Some(NaturalLit(n)), _) => rc(BoolLit(*n % 2 != 0)),
- (NaturalToInteger, Some(NaturalLit(n)), _) => {
- rc(IntegerLit(*n as isize))
+ use WhatNext::*;
+ let (ret, rest) = match (b, args.as_slice()) {
+ (OptionalSome, [x, rest..]) => (rc(NEOptionalLit(x.roll())), rest),
+ (OptionalNone, [t, rest..]) => (rc(EmptyOptionalLit(t.roll())), rest),
+ (NaturalIsZero, [NaturalLit(n), rest..]) => {
+ (rc(BoolLit(*n == 0)), rest)
}
- (NaturalShow, Some(NaturalLit(n)), _) => {
- rc(TextLit(n.to_string().into()))
+ (NaturalEven, [NaturalLit(n), rest..]) => {
+ (rc(BoolLit(*n % 2 == 0)), rest)
}
- (ListLength, Some(EmptyListLit(_)), _) => rc(NaturalLit(0)),
- (ListLength, Some(NEListLit(ys)), _) => rc(NaturalLit(ys.len())),
- (ListHead, Some(EmptyListLit(t)), _) => rc(EmptyOptionalLit(t.clone())),
- (ListHead, Some(NEListLit(ys)), _) => {
- rc(NEOptionalLit(ys.first().unwrap().clone()))
+ (NaturalOdd, [NaturalLit(n), rest..]) => {
+ (rc(BoolLit(*n % 2 != 0)), rest)
}
- (ListLast, Some(EmptyListLit(t)), _) => rc(EmptyOptionalLit(t.clone())),
- (ListLast, Some(NEListLit(ys)), _) => {
- rc(NEOptionalLit(ys.last().unwrap().clone()))
+ (NaturalToInteger, [NaturalLit(n), rest..]) => {
+ (rc(IntegerLit(*n as isize)), rest)
}
- (ListReverse, Some(EmptyListLit(t)), _) => rc(EmptyListLit(t.clone())),
- (ListReverse, Some(NEListLit(ys)), _) => {
- let ys = ys.iter().rev().cloned().collect();
- rc(NEListLit(ys))
+ (NaturalShow, [NaturalLit(n), rest..]) => {
+ (rc(TextLit(n.to_string().into())), rest)
+ }
+ (ListLength, [_, EmptyListLit(_), rest..]) => (rc(NaturalLit(0)), rest),
+ (ListLength, [_, NEListLit(ys), rest..]) => {
+ (rc(NaturalLit(ys.len())), rest)
+ }
+ (ListHead, [_, EmptyListLit(t), rest..]) => {
+ (rc(EmptyOptionalLit(t.clone())), rest)
+ }
+ (ListHead, [_, NEListLit(ys), rest..]) => {
+ (rc(NEOptionalLit(ys.first().unwrap().clone())), rest)
}
- (ListIndexed, Some(EmptyListLit(t)), _) => {
- let t = SubExpr::clone(t);
- dhall_expr!([] : List ({ index : Natural, value : t }))
+ (ListLast, [_, EmptyListLit(t), rest..]) => {
+ (rc(EmptyOptionalLit(t.clone())), rest)
}
- (ListIndexed, Some(NEListLit(xs)), _) => {
+ (ListLast, [_, NEListLit(ys), rest..]) => {
+ (rc(NEOptionalLit(ys.last().unwrap().clone())), rest)
+ }
+ (ListReverse, [_, EmptyListLit(t), rest..]) => {
+ (rc(EmptyListLit(t.clone())), rest)
+ }
+ (ListReverse, [_, NEListLit(ys), rest..]) => {
+ let ys = ys.iter().rev().cloned().collect();
+ (rc(NEListLit(ys)), rest)
+ }
+ (ListIndexed, [_, EmptyListLit(t), rest..]) => (
+ dhall_expr!([] : List ({ index : Natural, value : t })),
+ rest,
+ ),
+ (ListIndexed, [_, NEListLit(xs), rest..]) => {
let xs = xs
.iter()
.cloned()
@@ -88,102 +66,110 @@ where
dhall_expr!({ index = i, value = e })
})
.collect();
- rc(NEListLit(xs))
+ (rc(NEListLit(xs)), rest)
}
- (ListBuild, _, [a0, g, ..]) => {
+ (ListBuild, [a0, g, rest..]) => {
loop {
- if let App(f2, args2) = g.as_ref() {
- if let (Builtin(ListFold), [_, x, rest..]) =
+ if let App(f2, args2) = g {
+ if let (Builtin(ListFold), [_, x, rest_inner..]) =
(f2.as_ref(), args2.as_slice())
{
// fold/build fusion
- break rc(App(x.clone(), rest.to_vec()));
+ break (rc(App(x.clone(), rest_inner.to_vec())), rest);
}
};
- let a0 = SubExpr::clone(a0);
+ let a0 = a0.roll();
let a1 = shift(1, &V("a".into(), 0), &a0);
- // TODO: use Embed to avoid reevaluating g
- break dhall_expr!(
- g
- (List a0)
- (λ(a : a0) -> λ(as : List a1) -> [ a ] # as)
- ([] : List a0)
+ let g = g.roll();
+ break (
+ dhall_expr!(
+ g
+ (List a0)
+ (λ(a : a0) -> λ(as : List a1) -> [ a ] # as)
+ ([] : List a0)
+ ),
+ rest,
);
}
}
- (OptionalBuild, _, [a0, g, ..]) => {
+ (OptionalBuild, [a0, g, rest..]) => {
loop {
- if let App(f2, args2) = g.as_ref() {
- if let (Builtin(OptionalFold), [_, x, rest..]) =
+ if let App(f2, args2) = g {
+ if let (Builtin(OptionalFold), [_, x, rest_inner..]) =
(f2.as_ref(), args2.as_slice())
{
// fold/build fusion
- break rc(App(x.clone(), rest.to_vec()));
+ break (rc(App(x.clone(), rest_inner.to_vec())), rest);
}
};
- let a0 = SubExpr::clone(a0);
- // TODO: use Embed to avoid reevaluating g
- break dhall_expr!(
- g
- (Optional a0)
- (λ(x: a0) -> Some x)
- (None a0)
+ let a0 = a0.roll();
+ let g = g.roll();
+ break (
+ dhall_expr!(
+ g
+ (Optional a0)
+ (λ(x: a0) -> Some x)
+ (None a0)
+ ),
+ rest,
);
}
}
- (ListFold, Some(EmptyListLit(_)), [_, _, _, _, nil, ..]) => {
- SubExpr::clone(nil)
+ (ListFold, [_, EmptyListLit(_), _, _, nil, rest..]) => {
+ (nil.roll(), rest)
}
- (ListFold, Some(NEListLit(xs)), [_, _, _, cons, nil, ..]) => {
- xs.iter().rev().fold(SubExpr::clone(nil), |acc, x| {
+ (ListFold, [_, NEListLit(xs), _, cons, nil, rest..]) => (
+ xs.iter().rev().fold(nil.roll(), |acc, x| {
let x = x.clone();
let acc = acc.clone();
- let cons = SubExpr::clone(cons);
+ let cons = cons.roll();
dhall_expr!(cons x acc)
- })
- }
+ }),
+ rest,
+ ),
// // fold/build fusion
// (ListFold, [_, App(box Builtin(ListBuild), [_, x, rest..]), rest..]) => {
- // normalize_whnf(&App(bx(x.clone()), rest.to_vec()))
+ // normalize_ref(&App(bx(x.clone()), rest.to_vec()))
// }
- (OptionalFold, Some(NEOptionalLit(x)), [_, _, _, just, _, ..]) => {
+ (OptionalFold, [_, NEOptionalLit(x), _, just, _, rest..]) => {
let x = x.clone();
- let just = SubExpr::clone(just);
- dhall_expr!(just x)
+ let just = just.roll();
+ (dhall_expr!(just x), rest)
+ }
+ (OptionalFold, [_, EmptyOptionalLit(_), _, _, nothing, rest..]) => {
+ (nothing.roll(), rest)
}
- (
- OptionalFold,
- Some(EmptyOptionalLit(_)),
- [_, _, _, _, nothing, ..],
- ) => SubExpr::clone(nothing),
// // fold/build fusion
// (OptionalFold, [_, App(box Builtin(OptionalBuild), [_, x, rest..]), rest..]) => {
- // normalize_whnf(&App(bx(x.clone()), rest.to_vec()))
+ // normalize_ref(&App(bx(x.clone()), rest.to_vec()))
// }
- (NaturalBuild, _, [g, ..]) => {
+ (NaturalBuild, [g, rest..]) => {
loop {
- if let App(f2, args2) = g.as_ref() {
- if let (Builtin(NaturalFold), [x, rest..]) =
+ if let App(f2, args2) = g {
+ if let (Builtin(NaturalFold), [x, rest_inner..]) =
(f2.as_ref(), args2.as_slice())
{
// fold/build fusion
- break rc(App(x.clone(), rest.to_vec()));
+ break (rc(App(x.clone(), rest_inner.to_vec())), rest);
}
};
- // TODO: use Embed to avoid reevaluating g
- break dhall_expr!(g Natural (λ(x : Natural) -> x + 1) 0);
+ let g = g.roll();
+ break (
+ dhall_expr!(g Natural (λ(x : Natural) -> x + 1) 0),
+ rest,
+ );
}
}
- (NaturalFold, Some(NaturalLit(0)), [_, _, _, zero]) => {
- SubExpr::clone(zero)
+ (NaturalFold, [NaturalLit(0), _, _, zero, rest..]) => {
+ (zero.roll(), rest)
}
- (NaturalFold, Some(NaturalLit(n)), [_, t, succ, zero]) => {
+ (NaturalFold, [NaturalLit(n), t, succ, zero, rest..]) => {
let fold = rc(Builtin(NaturalFold));
let n = rc(NaturalLit(n - 1));
- let t = SubExpr::clone(t);
- let succ = SubExpr::clone(succ);
- let zero = SubExpr::clone(zero);
- dhall_expr!(succ (fold n t succ zero))
+ let t = t.roll();
+ let succ = succ.roll();
+ let zero = zero.roll();
+ (dhall_expr!(succ (fold n t succ zero)), rest)
}
// (NaturalFold, Some(App(f2, args2)), _) => {
// match (f2.as_ref(), args2.as_slice()) {
@@ -194,140 +180,127 @@ where
// _ => return rc(App(f, args)),
// }
// }
- _ => return rc(App(f, args)),
+ _ => return DoneAsIs,
};
// Put the remaining arguments back and eval again. In most cases
// ret will not be of a form that can be applied, so this won't go very deep.
// In lots of cases, there are no remaining args so this cann will just return ret.
- normalize_whnf(&rc(ExprF::App(ret, args.split_off(len_consumption))))
+ let rest: Vec<SubExpr<S, A>> = rest.iter().map(ExprF::roll).collect();
+ Continue(ExprF::App(ret, rest))
}
-/// Reduce an expression to its weak head normal form, i.e. normalize
-/// just enough to get the first constructor of the final expression
-/// Is identical to normalize on primitive types, but not on more complex
-/// types like functions and records.
-/// This allows normalization to be lazy.
-pub fn normalize_whnf<S, A>(e: &SubExpr<S, A>) -> SubExpr<S, A>
+// Small enum to help with being DRY
+enum WhatNext<'a, S, A> {
+ // Recurse on this expression
+ Continue(Expr<S, A>),
+ ContinueSub(SubExpr<S, A>),
+ // The following expression is the normal form
+ Done(Expr<S, A>),
+ DoneRef(&'a Expr<S, A>),
+ DoneRefSub(&'a SubExpr<S, A>),
+ // The current expression is already in normal form
+ DoneAsIs,
+}
+
+pub fn normalize_ref<S, A>(expr: &Expr<S, A>) -> Expr<S, A>
where
- S: fmt::Debug,
- A: fmt::Debug,
+ S: fmt::Debug + Clone,
+ A: fmt::Debug + Clone,
{
use dhall_core::BinOp::*;
use dhall_core::ExprF::*;
- match e.as_ref() {
+ // Recursively normalize all subexpressions
+ let expr: ExprF<Expr<S, A>, Label, S, A> =
+ expr.map_ref_simple(|e| normalize_ref(e.as_ref()));
+
+ use WhatNext::*;
+ let what_next = match &expr {
Let(f, _, r, b) => {
let vf0 = &V(f.clone(), 0);
- let r2 = shift(1, vf0, r);
+ let r2 = shift(1, vf0, &r.roll());
// TODO: use a context
- let b2 = subst(vf0, &r2, b);
+ let b2 = subst(vf0, &r2, &b.roll());
// TODO: add tests sensitive to shift errors before
// trying anything
let b3 = shift(-1, vf0, &b2);
- normalize_whnf(&b3)
- }
- Annot(x, _) => normalize_whnf(x),
- Note(_, e) => normalize_whnf(e),
- App(f, args) => {
- let f = normalize_whnf(f);
- match (f.as_ref(), args.as_slice()) {
- (_, []) => f,
- // TODO: use Embed to avoid reevaluating f
- (App(f, args1), args2) => normalize_whnf(&rc(App(
- f.clone(),
- args1.iter().chain(args2.iter()).cloned().collect(),
- ))),
- (Lam(ref x, _, ref b), [a, rest..]) => {
- // Beta reduce
- let vx0 = &V(x.clone(), 0);
- let a2 = shift(1, vx0, a);
- let b2 = subst(vx0, &a2, &b);
- let b3 = shift(-1, vx0, &b2);
- normalize_whnf(&rc(App(b3, rest.to_vec())))
- }
- (Builtin(b), _) => apply_builtin(*b, args.to_vec()),
- _ => rc(App(f, args.to_vec())),
- }
+ ContinueSub(b3)
}
- BoolIf(b, t, f) => {
- let b = normalize_whnf(b);
- match b.as_ref() {
- BoolLit(true) => normalize_whnf(t),
- BoolLit(false) => normalize_whnf(f),
- _ => rc(BoolIf(b, t.clone(), f.clone())),
- }
+ Annot(x, _) => DoneRef(x),
+ Note(_, e) => DoneRef(e),
+ App(f, args) if args.is_empty() => DoneRef(f),
+ App(App(f, args1), args2) => Continue(App(
+ f.clone(),
+ args1
+ .iter()
+ .cloned()
+ .chain(args2.iter().map(ExprF::roll))
+ .collect(),
+ )),
+ App(Builtin(b), args) => apply_builtin(*b, args),
+ App(Lam(x, _, b), args) => {
+ let mut iter = args.iter();
+ // We know args is nonempty
+ let a = iter.next().unwrap();
+ // Beta reduce
+ let vx0 = &V(x.clone(), 0);
+ let a2 = shift(1, vx0, &a.roll());
+ let b2 = subst(vx0, &a2, &b);
+ let b3 = shift(-1, vx0, &b2);
+ Continue(App(b3, iter.map(ExprF::roll).collect()))
}
+ BoolIf(BoolLit(true), t, _) => DoneRef(t),
+ BoolIf(BoolLit(false), _, f) => DoneRef(f),
// TODO: interpolation
// TextLit(t) =>
- BinOp(o, x, y) => {
- let x = normalize_whnf(x);
- let y = normalize_whnf(y);
- rc(match (o, x.as_ref(), y.as_ref()) {
- (BoolAnd, BoolLit(x), BoolLit(y)) => BoolLit(*x && *y),
- (BoolOr, BoolLit(x), BoolLit(y)) => BoolLit(*x || *y),
- (BoolEQ, BoolLit(x), BoolLit(y)) => BoolLit(x == y),
- (BoolNE, BoolLit(x), BoolLit(y)) => BoolLit(x != y),
- (NaturalPlus, NaturalLit(x), NaturalLit(y)) => {
- NaturalLit(x + y)
- }
- (NaturalTimes, NaturalLit(x), NaturalLit(y)) => {
- NaturalLit(x * y)
- }
- (TextAppend, TextLit(x), TextLit(y)) => TextLit(x + y),
- (ListAppend, EmptyListLit(t), EmptyListLit(_)) => {
- EmptyListLit(SubExpr::clone(t))
- }
- (ListAppend, EmptyListLit(_), _) => return y,
- (ListAppend, _, EmptyListLit(_)) => return x,
- (ListAppend, NEListLit(xs), NEListLit(ys)) => {
- let xs = xs.into_iter().cloned();
- let ys = ys.into_iter().cloned();
- NEListLit(xs.chain(ys).collect())
- }
- (o, _, _) => BinOp(*o, x, y),
- })
+ BinOp(BoolAnd, BoolLit(x), BoolLit(y)) => Done(BoolLit(*x && *y)),
+ BinOp(BoolOr, BoolLit(x), BoolLit(y)) => Done(BoolLit(*x || *y)),
+ BinOp(BoolEQ, BoolLit(x), BoolLit(y)) => Done(BoolLit(x == y)),
+ BinOp(BoolNE, BoolLit(x), BoolLit(y)) => Done(BoolLit(x != y)),
+ BinOp(NaturalPlus, NaturalLit(x), NaturalLit(y)) => {
+ Done(NaturalLit(x + y))
}
- Merge(x, y, t) => {
- let x = normalize_whnf(x);
- let y = normalize_whnf(y);
- match (x.as_ref(), y.as_ref()) {
- (RecordLit(handlers), UnionLit(k, v, _)) => {
- match handlers.get(&k) {
- Some(h) => {
- normalize_whnf(&rc(App(h.clone(), vec![v.clone()])))
- }
- None => rc(Merge(x, y, t.clone())),
- }
- }
- _ => rc(Merge(x, y, t.clone())),
- }
+ BinOp(NaturalTimes, NaturalLit(x), NaturalLit(y)) => {
+ Done(NaturalLit(x * y))
}
- Field(e, l) => {
- let e = normalize_whnf(e);
- match e.as_ref() {
- RecordLit(kvs) => match kvs.get(&l) {
- Some(r) => normalize_whnf(r),
- None => rc(Field(e, l.clone())),
- },
- _ => rc(Field(e, l.clone())),
- }
+ BinOp(TextAppend, TextLit(x), TextLit(y)) => Done(TextLit(x + y)),
+ BinOp(ListAppend, EmptyListLit(t), EmptyListLit(_)) => {
+ Done(EmptyListLit(SubExpr::clone(t)))
}
- Projection(_, ls) if ls.is_empty() => {
- rc(RecordLit(std::collections::BTreeMap::new()))
+ BinOp(ListAppend, EmptyListLit(_), y) => DoneRef(y),
+ BinOp(ListAppend, x, EmptyListLit(_)) => DoneRef(x),
+ BinOp(ListAppend, NEListLit(xs), NEListLit(ys)) => {
+ let xs = xs.into_iter().cloned();
+ let ys = ys.into_iter().cloned();
+ Done(NEListLit(xs.chain(ys).collect()))
}
- Projection(e, ls) => {
- let e = normalize_whnf(e);
- match e.as_ref() {
- RecordLit(kvs) => rc(RecordLit(
- ls.iter()
- .filter_map(|l| {
- kvs.get(l).map(|x| (l.clone(), x.clone()))
- })
- .collect(),
- )),
- _ => rc(Projection(e, ls.clone())),
+ Merge(RecordLit(handlers), UnionLit(k, v, _), _) => {
+ match handlers.get(&k) {
+ Some(h) => Continue(App(h.clone(), vec![v.clone()])),
+ None => DoneAsIs,
}
}
- _ => SubExpr::clone(e),
+ Field(RecordLit(kvs), l) => match kvs.get(&l) {
+ Some(r) => DoneRefSub(r),
+ None => DoneAsIs,
+ },
+ Projection(_, ls) if ls.is_empty() => {
+ Done(RecordLit(std::collections::BTreeMap::new()))
+ }
+ Projection(RecordLit(kvs), ls) => Done(RecordLit(
+ ls.iter()
+ .filter_map(|l| kvs.get(l).map(|x| (l.clone(), x.clone())))
+ .collect(),
+ )),
+ _ => DoneAsIs,
+ };
+
+ match what_next {
+ Continue(e) => normalize_ref(&e),
+ ContinueSub(e) => normalize_ref(e.as_ref()),
+ Done(e) => e,
+ DoneRef(e) => e.clone(),
+ DoneRefSub(e) => e.unroll(),
+ DoneAsIs => expr.map_ref_simple(ExprF::roll),
}
}
@@ -342,8 +315,8 @@ where
///
pub fn normalize<S, A>(e: SubExpr<S, A>) -> SubExpr<S, A>
where
- S: fmt::Debug,
- A: fmt::Debug,
+ S: fmt::Debug + Clone,
+ A: fmt::Debug + Clone,
{
- normalize_whnf(&e).map_ref_simple(|x| normalize(SubExpr::clone(x)))
+ normalize_ref(e.as_ref()).roll()
}
diff --git a/dhall/src/typecheck.rs b/dhall/src/typecheck.rs
index da52ba8..75e6e1d 100644
--- a/dhall/src/typecheck.rs
+++ b/dhall/src/typecheck.rs
@@ -187,7 +187,7 @@ pub fn type_with<S>(
e: SubExpr<S, X>,
) -> Result<SubExpr<S, X>, TypeError<S>>
where
- S: ::std::fmt::Debug,
+ S: ::std::fmt::Debug + Clone,
{
use dhall_core::BinOp::*;
use dhall_core::Builtin::*;
@@ -453,7 +453,7 @@ pub fn normalized_type_with<S>(
e: SubExpr<S, X>,
) -> Result<SubExpr<S, X>, TypeError<S>>
where
- S: ::std::fmt::Debug,
+ S: ::std::fmt::Debug + Clone,
{
Ok(normalize(type_with(ctx, e)?))
}
@@ -461,7 +461,7 @@ where
/// `typeOf` is the same as `type_with` with an empty context, meaning that the
/// expression must be closed (i.e. no free variables), otherwise type-checking
/// will fail.
-pub fn type_of<S: ::std::fmt::Debug>(
+pub fn type_of<S: ::std::fmt::Debug + Clone>(
e: SubExpr<S, X>,
) -> Result<SubExpr<S, X>, TypeError<S>> {
let ctx = Context::new();
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-26 03:27:50 +0000