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//! Provides sequentially-consistent atomic memory locations with associated ghost state.
//! See the [`atomic_with_ghost!`] documentation for more information.
#![allow(unused_imports)]
use super::atomic::*;
use super::invariant::*;
use super::modes::*;
use super::prelude::*;
verus! {
pub trait AtomicInvariantPredicate<K, V, G> {
spec fn atomic_inv(k: K, v: V, g: G) -> bool;
}
} // verus!
macro_rules! declare_atomic_type {
($at_ident:ident, $patomic_ty:ident, $perm_ty:ty, $value_ty: ty, $atomic_pred_ty: ident) => {
verus!{
pub struct $atomic_pred_ty<Pred> { p: Pred }
impl<K, G, Pred> InvariantPredicate<(K, int), ($perm_ty, G)> for $atomic_pred_ty<Pred>
where Pred: AtomicInvariantPredicate<K, $value_ty, G>
{
open spec fn inv(k_loc: (K, int), perm_g: ($perm_ty, G)) -> bool {
let (k, loc) = k_loc;
let (perm, g) = perm_g;
perm.view().patomic == loc
&& Pred::atomic_inv(k, perm.view().value, g)
}
}
#[doc = concat!(
"Sequentially-consistent atomic memory location storing a `",
stringify!($value_ty),
"` and associated ghost state."
)]
///
/// See the [`atomic_with_ghost!`] documentation for usage information.
pub struct $at_ident<K, G, Pred>
//where Pred: AtomicInvariantPredicate<K, $value_ty, G>
{
#[doc(hidden)]
pub patomic: $patomic_ty,
#[doc(hidden)]
pub atomic_inv: Tracked<AtomicInvariant<(K, int), ($perm_ty, G), $atomic_pred_ty<Pred>>>,
}
impl<K, G, Pred> $at_ident<K, G, Pred>
where Pred: AtomicInvariantPredicate<K, $value_ty, G>
{
pub open spec fn well_formed(&self) -> bool {
self.atomic_inv@.constant().1 == self.patomic.id()
}
pub open spec fn constant(&self) -> K {
self.atomic_inv@.constant().0
}
#[inline(always)]
pub const fn new(Ghost(k): Ghost<K>, u: $value_ty, Tracked(g): Tracked<G>) -> (t: Self)
requires Pred::atomic_inv(k, u, g),
ensures t.well_formed() && t.constant() == k,
{
let (patomic, Tracked(perm)) = $patomic_ty::new(u);
let tracked pair = (perm, g);
assert(Pred::atomic_inv(k, u, g));
assert(perm.view().patomic == patomic.id());
let tracked atomic_inv = AtomicInvariant::new(
(k, patomic.id()), pair, 0);
$at_ident {
patomic,
atomic_inv: Tracked(atomic_inv),
}
}
#[inline(always)]
pub fn load(&self) -> $value_ty
requires self.well_formed(),
{
atomic_with_ghost!(self => load(); g => { })
}
#[inline(always)]
pub fn into_inner(self) -> (res: ($value_ty, Tracked<G>))
requires self.well_formed(),
ensures Pred::atomic_inv(self.constant(), res.0, res.1@),
{
let Self { patomic, atomic_inv: Tracked(atomic_inv) } = self;
let tracked (perm, g) = atomic_inv.into_inner();
let v = patomic.into_inner(Tracked(perm));
(v, Tracked(g))
}
}
}
};
}
macro_rules! declare_atomic_type_generic {
($at_ident:ident, $patomic_ty:ident, $perm_ty:ty, $value_ty: ty, $atomic_pred_ty: ident) => {
verus!{
pub struct $atomic_pred_ty<T, Pred> { t: T, p: Pred }
impl<T, K, G, Pred> InvariantPredicate<(K, int), ($perm_ty, G)> for $atomic_pred_ty<T, Pred>
where Pred: AtomicInvariantPredicate<K, $value_ty, G>
{
open spec fn inv(k_loc: (K, int), perm_g: ($perm_ty, G)) -> bool {
let (k, loc) = k_loc;
let (perm, g) = perm_g;
perm.view().patomic == loc
&& Pred::atomic_inv(k, perm.view().value, g)
}
}
#[doc = concat!(
"Sequentially-consistent atomic memory location storing a `",
stringify!($value_ty),
"` and associated ghost state."
)]
///
/// See the [`atomic_with_ghost!`] documentation for usage information.
pub struct $at_ident<T, K, G, Pred>
//where Pred: AtomicInvariantPredicate<K, $value_ty, G>
{
#[doc(hidden)]
pub patomic: $patomic_ty<T>,
#[doc(hidden)]
pub atomic_inv: Tracked<AtomicInvariant<(K, int), ($perm_ty, G), $atomic_pred_ty<T, Pred>>>,
}
impl<T, K, G, Pred> $at_ident<T, K, G, Pred>
where Pred: AtomicInvariantPredicate<K, $value_ty, G>
{
pub open spec fn well_formed(&self) -> bool {
self.atomic_inv@.constant().1 == self.patomic.id()
}
pub open spec fn constant(&self) -> K {
self.atomic_inv@.constant().0
}
#[inline(always)]
pub const fn new(Ghost(k): Ghost<K>, u: $value_ty, Tracked(g): Tracked<G>) -> (t: Self)
requires Pred::atomic_inv(k, u, g),
ensures t.well_formed() && t.constant() == k,
{
let (patomic, Tracked(perm)) = $patomic_ty::<T>::new(u);
let tracked pair = (perm, g);
let tracked atomic_inv = AtomicInvariant::new(
(k, patomic.id()), pair, 0);
$at_ident {
patomic,
atomic_inv: Tracked(atomic_inv),
}
}
#[inline(always)]
pub fn load(&self) -> $value_ty
requires self.well_formed(),
{
atomic_with_ghost!(self => load(); g => { })
}
#[inline(always)]
pub fn into_inner(self) -> (res: ($value_ty, Tracked<G>))
requires self.well_formed(),
ensures Pred::atomic_inv(self.constant(), res.0, res.1@),
{
let Self { patomic, atomic_inv: Tracked(atomic_inv) } = self;
let tracked (perm, g) = atomic_inv.into_inner();
let v = patomic.into_inner(Tracked(perm));
(v, Tracked(g))
}
}
}
};
}
declare_atomic_type!(AtomicU64, PAtomicU64, PermissionU64, u64, AtomicPredU64);
declare_atomic_type!(AtomicU32, PAtomicU32, PermissionU32, u32, AtomicPredU32);
declare_atomic_type!(AtomicU16, PAtomicU16, PermissionU16, u16, AtomicPredU16);
declare_atomic_type!(AtomicU8, PAtomicU8, PermissionU8, u8, AtomicPredU8);
declare_atomic_type!(AtomicUsize, PAtomicUsize, PermissionUsize, usize, AtomicPredUsize);
declare_atomic_type!(AtomicI64, PAtomicI64, PermissionI64, i64, AtomicPredI64);
declare_atomic_type!(AtomicI32, PAtomicI32, PermissionI32, i32, AtomicPredI32);
declare_atomic_type!(AtomicI16, PAtomicI16, PermissionI16, i16, AtomicPredI16);
declare_atomic_type!(AtomicI8, PAtomicI8, PermissionI8, i8, AtomicPredI8);
declare_atomic_type!(AtomicIsize, PAtomicIsize, PermissionIsize, isize, AtomicPredIsize);
declare_atomic_type!(AtomicBool, PAtomicBool, PermissionBool, bool, AtomicPredBool);
declare_atomic_type_generic!(AtomicPtr, PAtomicPtr, PermissionPtr<T>, *mut T, AtomicPredPtr);
/// Performs a given atomic operation on a given atomic
/// while providing access to its ghost state.
///
/// `atomic_with_ghost!` supports the types
/// [`AtomicU64`] [`AtomicU32`], [`AtomicU16`], [`AtomicU8`],
/// [`AtomicI64`], [`AtomicI32`], [`AtomicI16`], [`AtomicI8`], and [`AtomicBool`].
///
/// For each type, it supports all applicable atomic operations among
/// `load`, `store`, `swap`, `compare_exchange`, `compare_exchange_weak`,
/// `fetch_add`, `fetch_add_wrapping`, `fetch_sub`, `fetch_sub_wrapping`,
/// `fetch_or`, `fetch_and`, `fetch_xor`, `fetch_nand`, `fetch_max`, and `fetch_min`.
///
/// Naturally, `AtomicBool` does not support the arithmetic-specific operations.
///
/// In general, the syntax is:
///
/// let result = atomic_with_ghost!(
/// $atomic => $operation_name($operands...);
/// update $prev -> $next; // `update` line is optional
/// returning $ret; // `returning` line is optional
/// ghost $g => {
/// /* Proof code with access to `tracked` variable `g: G` */
/// }
/// );
///
/// Here, the `$operation_name` is one of `load`, `store`, etc. Meanwhile,
/// `$prev`, `$next`, and `$ret` are all identifiers which
/// will be available as spec variable inside the block to describe the
/// atomic action which is performed.
///
/// For example, suppose the user performs `fetch_add(1)`. The atomic
/// operation might load the value 5, add 1, store the value 6,
/// and return the original value, 5. In that case, we would have
/// `prev == 5`, `next == 6`, and `ret == 5`.
///
/// The specification for a given operation is given as a relation between
/// `prev`, `next`, and `ret`; that is, at the beginning of the proof block,
/// the user may assume the given specification holds:
///
/// | operation | specification |
/// |-------------------------------|----------------------------------------------------------------------------------------------------------------------------|
/// | `load()` | `next == prev && rev == prev` |
/// | `store(x)` | `next == x && ret == ()` |
/// | `swap(x)` | `next == x && ret == prev` |
/// | `compare_exchange(x, y)` | `prev == x && next == y && ret == Ok(prev)` ("success") OR<br> `prev != x && next == prev && ret == Err(prev)` ("failure") |
/// | `compare_exchange_weak(x, y)` | `prev == x && next == y && ret == Ok(prev)` ("success") OR<br> `next == prev && ret == Err(prev)` ("failure") |
/// | `fetch_add(x)` (*) | `next == prev + x && ret == prev` |
/// | `fetch_add_wrapping(x)` | `next == wrapping_add(prev, x) && ret == prev` |
/// | `fetch_sub(x)` (*) | `next == prev - x && ret == prev` |
/// | `fetch_sub_wrapping(x)` | `next == wrapping_sub(prev, x) && ret == prev` |
/// | `fetch_or(x)` | <code>next == prev \| x && ret == prev</code> |
/// | `fetch_and(x)` | `next == prev & x && ret == prev` |
/// | `fetch_xor(x)` | `next == prev ^ x && ret == prev` |
/// | `fetch_nand(x)` | `next == !(prev & x) && ret == prev` |
/// | `fetch_max(x)` | `next == max(prev, x) && ret == prev` |
/// | `fetch_min(x)` | `next == max(prev, x) && ret == prev` |
/// | `no_op()` (**) | `next == prev && ret == ()` |
///
/// (*) Note that `fetch_add` and `fetch_sub` do not specify
/// wrapping-on-overflow; instead, they require the user to
/// prove that overflow _does not occur_, i.e., the user must show
/// that `next` is in bounds for the integer type in question.
/// Furthermore, for `fetch_add` and `fetch_sub`, the spec values of
/// `prev`, `next`, and `ret` are all given with type `int`, so the
/// user may reason about boundedness within the proof block.
///
/// (As executable code, `fetch_add` is equivalent to `fetch_add_wrapping`,
/// and likewise for `fetch_sub` and `fetch_sub_wrapping`.
/// We have both because it's frequently the case that the user needs to verify
/// lack-of-overflow _anyway_, and having it as an explicit precondition by default
/// then makes verification errors easier to diagnose. Furthermore, when overflow is
/// intended, the wrapping operations document that intent.)
///
/// (**) `no_op` is entirely a ghost operation and doesn't emit any actual instruction.
/// This allows the user to access the ghost state and the stored value (as `spec` data)
/// without actually performing a load.
///
/// ---
///
/// At the beginning of the proof block, the user may assume, in addition
/// to the specified relation between `prev`, `next`, and `ret`, that
/// `atomic.inv(prev, g)` holds. The user is required to update `g` such that
/// `atomic.inv(next, g)` holds at the end of the block.
/// In other words, the ghost block has the implicit pre- and post-conditions:
///
/// let result = atomic_with_ghost!(
/// $atomic => $operation_name($operands...);
/// update $prev -> $next;
/// returning $ret;
/// ghost $g => {
/// assume(specified relation on (prev, next, ret));
/// assume(atomic.inv(prev, g));
///
/// // User code here; may update variable `g` with full
/// // access to variables in the outer context.
///
/// assert(atomic.inv(next, g));
/// }
/// );
///
/// Note that the necessary action on ghost state might depend
/// on the result of the operation; for example, if the user performs a
/// compare-and-swap, then the ghost action that they then need to do
/// will probably depend on whether the operation succeeded or not.
///
/// The value returned by the `atomic_with_ghost!(...)` expression will be equal
/// to `ret`, although the return value is an `exec` value (the actual result of
/// the operation) while `ret` is a `spec` value.
///
/// ### Example (TODO)
#[macro_export]
macro_rules! atomic_with_ghost {
($($tokens:tt)*) => {
// The helper is used to parse things using Verus syntax
// The helper then calls atomic_with_ghost_inner, below:
::builtin_macros::atomic_with_ghost_helper!(
$crate::vstd::atomic_ghost::atomic_with_ghost_inner,
$($tokens)*)
}
}
pub use atomic_with_ghost;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_inner {
(load, $e:expr, (), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_load!($e, $prev, $next, $ret, $g, $b)
};
(store, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_store!(
$e, $operand, $prev, $next, $ret, $g, $b
)
};
(swap, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
swap, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_or, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_or, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_and, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_and, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_xor, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_xor, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_nand, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_nand, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_max, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_max, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_min, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_min, $e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_add_wrapping, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_add_wrapping,
$e,
$operand,
$prev,
$next,
$ret,
$g,
$b
)
};
(fetch_sub_wrapping, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_1_operand!(
fetch_sub_wrapping,
$e,
$operand,
$prev,
$next,
$ret,
$g,
$b
)
};
(fetch_add, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_fetch_add!(
$e, $operand, $prev, $next, $ret, $g, $b
)
};
(fetch_sub, $e:expr, ($operand:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_fetch_sub!(
$e, $operand, $prev, $next, $ret, $g, $b
)
};
(compare_exchange, $e:expr, ($operand1:expr, $operand2:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_2_operand!(
compare_exchange,
$e,
$operand1,
$operand2,
$prev,
$next,
$ret,
$g,
$b
)
};
(compare_exchange_weak, $e:expr, ($operand1:expr, $operand2:expr), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_update_with_2_operand!(
compare_exchange_weak,
$e,
$operand1,
$operand2,
$prev,
$next,
$ret,
$g,
$b
)
};
(no_op, $e:expr, (), $prev:pat, $next:pat, $ret:pat, $g:ident, $b:block) => {
$crate::vstd::atomic_ghost::atomic_with_ghost_no_op!($e, $prev, $next, $ret, $g, $b)
};
}
pub use atomic_with_ghost_inner;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_store {
($e:expr, $operand:expr, $prev:pat, $next:pat, $res:pat, $g:ident, $b:block) => {
::builtin_macros::verus_exec_expr! { {
let atomic = &($e);
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (mut perm, mut $g) = pair;
let ghost $prev = perm.view().value;
atomic.patomic.store(Tracked(&mut perm), $operand);
let ghost $next = perm.view().value;
let ghost $res = ();
proof { $b }
proof { pair = (perm, $g); }
});
} }
};
}
pub use atomic_with_ghost_store;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_load {
($e:expr, $prev:pat, $next: pat, $res: pat, $g:ident, $b:block) => {
::builtin_macros::verus_exec_expr! { {
let result;
let atomic = &($e);
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (perm, mut $g) = pair;
result = atomic.patomic.load(Tracked(&perm));
let ghost $res = result;
let ghost $prev = result;
let ghost $next = result;
proof { $b }
proof { pair = (perm, $g); }
});
result
} }
};
}
pub use atomic_with_ghost_load;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_no_op {
($e:expr, $prev:pat, $next: pat, $res: pat, $g:ident, $b:block) => {
::builtin_macros::verus_exec_expr! { {
let atomic = &($e);
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (perm, mut $g) = pair;
let ghost result = perm.view().value;
let ghost $res = result;
let ghost $prev = result;
let ghost $next = result;
proof { $b }
proof { pair = (perm, $g); }
});
} }
};
}
pub use atomic_with_ghost_no_op;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_update_with_1_operand {
($name:ident, $e:expr, $operand:expr, $prev:pat, $next:pat, $res: pat, $g:ident, $b:block) => {
::builtin_macros::verus_exec_expr! { {
let result;
let atomic = &($e);
let operand = $operand;
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (mut perm, mut $g) = pair;
let ghost $prev = perm.view().value;
result = atomic.patomic.$name(Tracked(&mut perm), operand);
let ghost $res = result;
let ghost $next = perm.view().value;
proof { $b }
proof { pair = (perm, $g); }
});
result
} }
};
}
pub use atomic_with_ghost_update_with_1_operand;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_update_with_2_operand {
($name:ident, $e:expr, $operand1:expr, $operand2:expr, $prev:pat, $next:pat, $res: pat, $g:ident, $b:block) => {
::builtin_macros::verus_exec_expr! { {
let result;
let atomic = &($e);
let operand1 = $operand1;
let operand2 = $operand2;
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (mut perm, mut $g) = pair;
let ghost $prev = perm.view().value;
result = atomic.patomic.$name(Tracked(&mut perm), operand1, operand2);
let ghost $res = result;
let ghost $next = perm.view().value;
proof { $b }
proof { pair = (perm, $g); }
});
result
} }
};
}
pub use atomic_with_ghost_update_with_2_operand;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_update_fetch_add {
($e:expr, $operand:expr, $prev:pat, $next:pat, $res: pat, $g:ident, $b:block) => {
(::builtin_macros::verus_exec_expr!( {
let result;
let atomic = &($e);
let operand = $operand;
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (mut perm, mut $g) = pair;
proof {
let $prev = perm.view().value as int;
let $res = perm.view().value as int;
let $next = perm.view().value as int + (operand as int);
{ $b }
}
result = atomic.patomic.fetch_add(Tracked(&mut perm), operand);
proof { pair = (perm, $g); }
});
result
} ))
}
}
pub use atomic_with_ghost_update_fetch_add;
#[doc(hidden)]
#[macro_export]
macro_rules! atomic_with_ghost_update_fetch_sub {
($e:expr, $operand:expr, $prev:pat, $next:pat, $res: pat, $g:ident, $b:block) => {
::builtin_macros::verus_exec_expr! { {
let result;
let atomic = &($e);
let operand = $operand;
$crate::vstd::invariant::open_atomic_invariant!(atomic.atomic_inv.borrow() => pair => {
#[allow(unused_mut)]
let tracked (mut perm, mut $g) = pair;
proof {
let $prev = perm.view().value as int;
let $res = perm.view().value as int;
let $next = perm.view().value as int - (operand as int);
{ $b }
}
result = atomic.patomic.fetch_sub(Tracked(&mut perm), operand);
proof { pair = (perm, $g); }
});
result
} }
};
}
pub use atomic_with_ghost_update_fetch_sub;