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ArfInvariants

Struct ArfInvariants 

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pub struct ArfInvariants {
    pub arf: u128,
    pub rank: usize,
    pub radical_dim: usize,
    pub radical_anisotropic: bool,
}
Expand description

Classification invariants for a characteristic-2 quadratic form over any nim-subfield or supported finite char-2 field.

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§arf: u128

Arf invariant of the nonsingular core (0 or 1).

§rank: usize

Rank of the polar form B = 2 × (number of hyperbolic pairs).

§radical_dim: usize

Dimension of the polar-form radical (where B vanishes).

§radical_anisotropic: bool

Whether Q is nonzero somewhere on the radical (a “defective” direction).

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impl ArfInvariants

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pub fn o_type(&self) -> OrthogonalType

Orthogonal type of the chosen symplectic complement: O+ (split) iff arf == 0. When radical_anisotropic is true, this complement type is not an isometry invariant of the whole singular form.

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pub fn display(&self) -> String

Return the canonical display representation.

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impl Clone for ArfInvariants

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fn clone(&self) -> ArfInvariants

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 ArfInvariants

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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 Display for ArfInvariants

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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 Eq for ArfInvariants

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impl PartialEq for ArfInvariants

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

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

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

Inequality operator !=. Read more
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impl StructuralPartialEq for ArfInvariants

Auto Trait 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> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. 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.