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ModmOutcome

Enum ModmOutcome 

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pub enum ModmOutcome {
    Sat(Vec<u64>),
    Unsat {
        modulus: u64,
        combo: Vec<(usize, u64)>,
    },
}
Expand description

The outcome of deciding a linear system over ℤ/m.

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Sat(Vec<u64>)

Satisfiable, with an assignment over 0..m for each variable (re-checkable via satisfies).

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Unsat

Unsatisfiable: inconsistent already over the quotient ring ℤ/modulus for a prime-power factor modulus = pᵏ of m (a prime field when k = 1), witnessed by a combination of the equations whose left side cancels mod modulus while the right side does not. Because modulus | m, any solution mod m would reduce to one mod modulus, so this certifies UNSAT mod m. Re-checkable via is_refutation.

Fields

§modulus: u64
§combo: Vec<(usize, u64)>

Trait Implementations§

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impl Clone for ModmOutcome

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fn clone(&self) -> ModmOutcome

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for ModmOutcome

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl PartialEq for ModmOutcome

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fn eq(&self, other: &ModmOutcome) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Eq for ModmOutcome

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impl StructuralPartialEq for ModmOutcome

Auto Trait Implementations§

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.