FracR

vstd_extra::resource::pcm::frac

Enum FracR

pub enum FracR<T> {
    Unit,
    Frac(real, T),
    Invalid,
}

Expand description

Fractional PCM

Variants§

Unit

Frac(real, T)

Invalid

Implementations§

impl<T> FracR<T>

pub fn arrow_1(self) -> T

pub fn arrow_0(self) -> real

pub fn arrow_Frac_0(self) -> real

pub fn arrow_Frac_1(self) -> T

Trait Implementations§

impl<T: PartialEq> PCM for FracR<T>

open spec fn valid(self) -> bool

{
    match self {
        FracR::Unit => true,
        FracR::Frac(q, _) => 0.0real < q && q <= 1.0real,
        FracR::Invalid => false,
    }
}

open spec fn op(self, other: Self) -> Self

{
    match (self, other) {
        (FracR::Unit, x) => x,
        (x, FracR::Unit) => x,
        (FracR::Frac(q1, a1), FracR::Frac(q2, a2)) => {
            if a1 == a2 && 0.0real < q1 && 0.0real < q2 && q1 + q2 <= 1.0real {
                FracR::Frac(q1 + q2, a1)
            } else {
                FracR::Invalid
            }
        }
        _ => FracR::Invalid,
    }
}

Two Frac combine iff they agree on the value and the sum of fractions does not exceed 1.0. This follows the original Iris design.

open spec fn unit() -> Self

{ FracR::Unit }

proof fn closed_under_incl(a: Self, b: Self)

proof fn commutative(a: Self, b: Self)

proof fn associative(a: Self, b: Self, c: Self)

proof fn op_unit(a: Self)

proof fn unit_valid()

Auto Trait Implementations§

impl<T> Freeze for FracR<T>
where T: Freeze,

impl<T> RefUnwindSafe for FracR<T>
where T: RefUnwindSafe,

impl<T> Send for FracR<T>
where T: Send,

impl<T> Sync for FracR<T>
where T: Sync,

impl<T> Unpin for FracR<T>
where T: Unpin,

impl<T> UnwindSafe for FracR<T>
where T: UnwindSafe,

Blanket Implementations§

impl<T> Any for T
where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T, VERUS_SPEC__A> FromSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: From<T>,

fn obeys_from_spec() -> bool

fn from_spec(v: T) -> VERUS_SPEC__A

impl<T, U> Into<U> for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T, VERUS_SPEC__A> IntoSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: Into<T>,

fn obeys_into_spec() -> bool

fn into_spec(self) -> T

impl<T, U> IntoSpecImpl<U> for T
where U: From<T>,

fn obeys_into_spec() -> bool

fn into_spec(self) -> U

impl<T, U> TryFrom<U> for T
where U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, VERUS_SPEC__A> TryFromSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: TryFrom<T>,

fn obeys_try_from_spec() -> bool

fn try_from_spec( v: T, ) -> Result<VERUS_SPEC__A, <VERUS_SPEC__A as TryFrom<T>>::Error>

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.

impl<T, VERUS_SPEC__A> TryIntoSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: TryInto<T>,

fn obeys_try_into_spec() -> bool

fn try_into_spec(self) -> Result<T, <VERUS_SPEC__A as TryInto<T>>::Error>

impl<T, U> TryIntoSpecImpl<U> for T
where U: TryFrom<T>,

fn obeys_try_into_spec() -> bool

fn try_into_spec(self) -> Result<U, <U as TryFrom<T>>::Error>