Struct Z12 

pub struct Z12 { /* private fields */ }

Trait Implementations

impl Add for Z12

type Output = Z12

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self

Performs the + operation.

impl Clone for Z12

fn clone(&self) -> Z12

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Conj for Z12

fn conj(&self) -> Self

For representations of complex numbers, return conjugated complex number. For one-dimensional numbers, return same number.

fn co_conj(&self) -> Self

For representations of complex numbers, return number with negated real part. For one-dimensional numbers, return negation of number.

impl Debug for Z12

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

Formats the value using the given formatter.

impl Display for Z12

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

Formats the value using the given formatter.

impl FieldRingPair for Z12

type Field = Q12

type Ring = Z12

impl From<<Z12 as InnerIntType>::IntType> for Z12

fn from(value: <<Self as ZZBase>::Scalar as InnerIntType>::IntType) -> Self

Converts to this type from the input type.

impl From<Z12> for Q12

fn from(value: Z12) -> Self

Lift ring value into the corresponding cyclomatic field

impl From<Z12> for ZZ12

fn from(value: Z12) -> Self

Lift real-valued ring value into the corresponding cyclomatic ring

impl Hash for Z12

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl InnerIntType for Z12

type IntType = <<Z12 as ZZBase>::Scalar as InnerIntType>::IntType

impl Mul for Z12

type Output = Z12

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Self

Performs the * operation.

impl Neg for Z12

type Output = Z12

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl One for Z12

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

impl PartialEq for Z12

fn eq(&self, other: &Z12) -> bool

Tests for self and other values to be equal, and is used by ==.

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

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

impl Sub for Z12

type Output = Z12

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.

impl ZSigned for Z12

fn signum(&self) -> Self

fn abs(&self) -> Self

fn is_positive(&self) -> bool

fn is_negative(&self) -> bool

fn abs_sub(&self, other: &Self) -> Self

impl ZZBase for Z12

type Scalar = Ratio<i64>

type Real = Z12

fn zz_coeffs(&self) -> &[Self::Scalar]

fn zz_coeffs_mut(&mut self) -> &mut [Self::Scalar]

fn zz_params() -> &'static ZZParams<'static>

fn zz_mul_arrays(x: &[Self::Scalar], y: &[Self::Scalar]) -> Vec<Self::Scalar>

fn zz_mul_scalar(x: &[Self::Scalar], scalar: i64) -> Vec<Self::Scalar>

fn new(coeffs: &[Self::Scalar]) -> Self

fn complex64(&self) -> Complex64

Convert to a complex floating point number.

fn turn() -> i8

Return angle representing one full turn.

fn hturn() -> i8

Return angle representing half a turn.

fn has_qturn() -> bool

Return whether this ring supports a quarter turn, i.e. can represent the imaginary unit i.

fn qturn() -> i8

Return angle representing a quarter turn (if ring supports it). NOTE: In unsuitable rings this value will be incorrect (see has_turn()).

fn opt_qturn() -> Option<i8>

Return angle representing a quarter turn (if ring supports it).

fn pow(&self, i: i8) -> Self

where Self: ZCommon,

Raise to an integer power.

fn scale<I: Integer + ToPrimitive>(&self, scalar: I) -> Self

where Self: Sized,

Scalar multiplication.

fn zz_zero_vec() -> Vec<Self::Scalar>

fn zz_one_vec() -> Vec<Self::Scalar>

fn zz_add(&self, other: &Self) -> Vec<Self::Scalar>

fn zz_sub(&self, other: &Self) -> Vec<Self::Scalar>

fn zz_neg(&self) -> Vec<Self::Scalar>

fn zz_mul(&self, other: &Self) -> Vec<Self::Scalar>

impl Zero for Z12

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl Copy for Z12

impl Eq for Z12

impl IntRing for Z12

impl StructuralPartialEq for Z12

impl ZCommon for Z12

impl ZNum for Z12