Struct PolyBase 

pub struct PolyBase<X, R>
where
    X: Mono,
    R: Ring,
    for<'x> &'x R: RingOps<R>,
{ /* private fields */ }

Implementations

impl<X, R> PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

pub fn from_const(r: R) -> Self

pub fn inner(&self) -> &Lc<X, R>

pub fn nterms(&self) -> usize

pub fn any_term(&self) -> Option<(&X, &R)>

pub fn is_mono(&self) -> bool

pub fn as_mono(&self) -> Option<X>

pub fn coeff(&self, x: &X) -> &R

pub fn iter(&self) -> impl Iterator<Item = (&X, &R)>

pub fn coeff_for(&self, i: X::Deg) -> &R

pub fn is_const(&self) -> bool

pub fn const_term(&self) -> &R

pub fn lead_term(&self) -> (&X, &R)

pub fn lead_coeff(&self) -> &R

pub fn lead_deg(&self) -> X::Deg

pub fn map_coeffs<R2, F>(&self, f: F) -> PolyBase<X, R2>

where R2: Ring, for<'x> &'x R2: RingOps<R2>, F: Fn(&R) -> R2,

pub fn sort_terms_by<F>(&self, cmp: F) -> impl Iterator<Item = (&X, &R)>

where F: Fn(&X, &X) -> Ordering,

pub fn to_string_by<F>(&self, cmp: F, descending: bool) -> String

where F: Fn(&X, &X) -> Ordering,

impl<const X: char, R> PolyBase<Var<X, usize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable() -> Self

pub fn mono(i: usize) -> Var<X, usize>

pub fn eval(&self, x: &R) -> R

where for<'x, 'y> &'x R: Pow<&'y usize, Output = R>,

impl<const X: char, const Y: char, R> PolyBase<Var2<X, Y, usize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable(i: usize) -> Self

pub fn mono(i: usize, j: usize) -> Var2<X, Y, usize>

pub fn eval(&self, x: &R, y: &R) -> R

where for<'x, 'y> &'x R: Pow<&'y usize, Output = R>,

impl<const X: char, const Y: char, const Z: char, R> PolyBase<Var3<X, Y, Z, usize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable(i: usize) -> Self

pub fn mono(i: usize, j: usize, k: usize) -> Var3<X, Y, Z, usize>

pub fn eval(&self, x: &R, y: &R, z: &R) -> R

where for<'x, 'y> &'x R: Pow<&'y usize, Output = R>,

impl<const X: char, R> PolyBase<MultiVar<X, usize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable(i: usize) -> Self

pub fn mono<const N: usize>(degs: [usize; N]) -> MultiVar<X, usize>

pub fn lead_term_for(&self, k: usize) -> Option<(&MultiVar<X, usize>, &R)>

impl<const X: char, R> PolyBase<Var<X, isize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable() -> Self

pub fn mono(i: isize) -> Var<X, isize>

pub fn eval(&self, x: &R) -> R

where for<'x, 'y> &'x R: Pow<&'y isize, Output = R>,

impl<const X: char, const Y: char, R> PolyBase<Var2<X, Y, isize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable(i: usize) -> Self

pub fn mono(i: isize, j: isize) -> Var2<X, Y, isize>

pub fn eval(&self, x: &R, y: &R) -> R

where for<'x, 'y> &'x R: Pow<&'y isize, Output = R>,

impl<const X: char, const Y: char, const Z: char, R> PolyBase<Var3<X, Y, Z, isize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable(i: usize) -> Self

pub fn mono(i: isize, j: isize, k: isize) -> Var3<X, Y, Z, isize>

pub fn eval(&self, x: &R, y: &R, z: &R) -> R

where for<'x, 'y> &'x R: Pow<&'y isize, Output = R>,

impl<const X: char, R> PolyBase<MultiVar<X, isize>, R>

where R: Ring, for<'x> &'x R: RingOps<R>,

pub fn variable(i: usize) -> Self

pub fn mono<const N: usize>(degs: [isize; N]) -> MultiVar<X, isize>

pub fn lead_term_for(&self, k: usize) -> Option<(&MultiVar<X, isize>, &R)>

impl<const X: char, R> PolyBase<Var<X, usize>, R>

where R: Field, for<'x> &'x R: FieldOps<R>,

pub fn div_rem(&self, rhs: &Self) -> (Self, Self)

Trait Implementations

impl<X, R> Add<&PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the + operator.

fn add(self, rhs: &PolyBase<X, R>) -> Self::Output

Performs the + operation.

impl<X, R> Add<&PolyBase<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the + operator.

fn add(self, rhs: &PolyBase<X, R>) -> Self::Output

Performs the + operation.

impl<X, R> Add<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the + operator.

fn add(self, rhs: PolyBase<X, R>) -> Self::Output

Performs the + operation.

impl<X, R> Add for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the + operator.

fn add(self, rhs: PolyBase<X, R>) -> Self::Output

Performs the + operation.

impl<X, R> AddAssign<&PolyBase<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn add_assign(&mut self, rhs: &PolyBase<X, R>)

Performs the += operation.

impl<X, R> AddAssign for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn add_assign(&mut self, rhs: PolyBase<X, R>)

Performs the += operation.

impl<X, R> AddMon for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn sum<A, I>(itr: I) -> Self

where Self: AddAssign<A>, I: IntoIterator<Item = A>,

impl<X, R> Clone for PolyBase<X, R>

where X: Mono + Clone, R: Ring + Clone, for<'x> &'x R: RingOps<R>,

fn clone(&self) -> PolyBase<X, R>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<X, R> Debug for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

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

Formats the value using the given formatter.

impl<X, R> Default for PolyBase<X, R>

where X: Mono + Default, R: Ring + Default, for<'x> &'x R: RingOps<R>,

fn default() -> PolyBase<X, R>

Returns the “default value” for a type.

impl<X, R> Display for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

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

Formats the value using the given formatter.

impl<const X: char, R> Div<&PolyBase<Var<X, usize>, R>> for &Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>, Poly<X, R>: Clone,

type Output = PolyBase<Var<X, usize>, R>

The resulting type after applying the / operator.

fn div(self, rhs: &Poly<X, R>) -> Self::Output

Performs the / operation.

impl<const X: char, R> Div<&PolyBase<Var<X, usize>, R>> for Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>,

type Output = PolyBase<Var<X, usize>, R>

The resulting type after applying the / operator.

fn div(self, rhs: &Poly<X, R>) -> Self

Performs the / operation.

impl<const X: char, R> Div<PolyBase<Var<X, usize>, R>> for &Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>, Poly<X, R>: Clone,

type Output = PolyBase<Var<X, usize>, R>

The resulting type after applying the / operator.

fn div(self, rhs: Poly<X, R>) -> Self::Output

Performs the / operation.

impl<const X: char, R> DivAssign<&PolyBase<Var<X, usize>, R>> for Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>, Poly<X, R>: Default,

fn div_assign(&mut self, rhs: &Poly<X, R>)

Performs the /= operation.

impl<X, R> Elem for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn math_symbol() -> String

impl<X, R> From<(X, R)> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn from(pair: (X, R)) -> Self

Converts to this type from the input type.

impl<X, R> From<Lc<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn from(data: Lc<X, R>) -> Self

Converts to this type from the input type.

impl<X, R> From<PolyBase<X, R>> for Lc<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn from(poly: PolyBase<X, R>) -> Self

Converts to this type from the input type.

impl<X, R> From<X> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn from(x: X) -> Self

Converts to this type from the input type.

impl<X, R> FromIterator<(X, R)> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn from_iter<T: IntoIterator<Item = (X, R)>>(iter: T) -> Self

Creates a value from an iterator.

impl<X, R> FromStr for PolyBase<X, R>

where X: Mono + FromStr, R: Ring + FromStr, for<'x> &'x R: RingOps<R>,

type Err = ()

The associated error which can be returned from parsing.

fn from_str(s: &str) -> Result<Self, Self::Err>

Parses a string s to return a value of this type.

impl<X, R> IntoIterator for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Item = (X, R)

The type of the elements being iterated over.

type IntoIter = IntoIter<X, R>

Which kind of iterator are we turning this into?

fn into_iter(self) -> Self::IntoIter

Creates an iterator from a value.

impl<X, R> Mon for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn product<A, I>(itr: I) -> Self

where Self: MulAssign<A>, I: IntoIterator<Item = A>,

impl<X, R> Mul<&PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: &PolyBase<X, R>) -> Self::Output

Performs the * operation.

impl<X, R> Mul<&PolyBase<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: &PolyBase<X, R>) -> Self::Output

Performs the * operation.

impl<X, R> Mul<&R> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: &R) -> Self::Output

Performs the * operation.

impl<X, R> Mul<&R> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: &R) -> Self::Output

Performs the * operation.

impl<X, R> Mul<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: PolyBase<X, R>) -> Self::Output

Performs the * operation.

impl<X, R> Mul<R> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: R) -> Self::Output

Performs the * operation.

impl<X, R> Mul<R> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: R) -> Self::Output

Performs the * operation.

impl<X, R> Mul for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the * operator.

fn mul(self, rhs: PolyBase<X, R>) -> Self::Output

Performs the * operation.

impl<X, R> MulAssign<&PolyBase<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn mul_assign(&mut self, rhs: &PolyBase<X, R>)

Performs the *= operation.

impl<X, R> MulAssign<&R> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn mul_assign(&mut self, rhs: &R)

Performs the *= operation.

impl<X, R> MulAssign<R> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn mul_assign(&mut self, rhs: R)

Performs the *= operation.

impl<X, R> MulAssign for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn mul_assign(&mut self, rhs: PolyBase<X, R>)

Performs the *= operation.

impl<X, R> Neg for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<X, R> Neg for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<X, R> One for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

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<X, R> PartialEq for PolyBase<X, R>

where X: Mono + PartialEq, R: Ring + PartialEq, for<'x> &'x R: RingOps<R>,

fn eq(&self, other: &PolyBase<X, R>) -> 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<X, R> Pow<i32> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The result after applying the operator.

fn pow(self, n: i32) -> Self::Output

Returns self to the power rhs.

impl<X, R> Pow<i64> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The result after applying the operator.

fn pow(self, n: i64) -> Self::Output

Returns self to the power rhs.

impl<X, R> Pow<isize> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The result after applying the operator.

fn pow(self, n: isize) -> Self::Output

Returns self to the power rhs.

impl<X, R> Pow<u32> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The result after applying the operator.

fn pow(self, n: u32) -> Self::Output

Returns self to the power rhs.

impl<X, R> Pow<u64> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The result after applying the operator.

fn pow(self, n: u64) -> Self::Output

Returns self to the power rhs.

impl<X, R> Pow<usize> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The result after applying the operator.

fn pow(self, n: usize) -> Self::Output

Returns self to the power rhs.

impl<const X: char, R> Rem<&PolyBase<Var<X, usize>, R>> for &Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>, Poly<X, R>: Clone,

type Output = PolyBase<Var<X, usize>, R>

The resulting type after applying the % operator.

fn rem(self, rhs: &Poly<X, R>) -> Self::Output

Performs the % operation.

impl<const X: char, R> Rem<&PolyBase<Var<X, usize>, R>> for Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>,

type Output = PolyBase<Var<X, usize>, R>

The resulting type after applying the % operator.

fn rem(self, rhs: &Poly<X, R>) -> Self::Output

Performs the % operation.

impl<const X: char, R> Rem<PolyBase<Var<X, usize>, R>> for &Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>, Poly<X, R>: Clone,

type Output = PolyBase<Var<X, usize>, R>

The resulting type after applying the % operator.

fn rem(self, rhs: Poly<X, R>) -> Self::Output

Performs the % operation.

impl<const X: char, R> RemAssign<&PolyBase<Var<X, usize>, R>> for Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>, Poly<X, R>: Default,

fn rem_assign(&mut self, rhs: &Poly<X, R>)

Performs the %= operation.

impl<X, R> Ring for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn inv(&self) -> Option<Self>

fn is_unit(&self) -> bool

fn normalizing_unit(&self) -> Self

fn from_sign(s: Sign) -> Self

fn normalized(&self) -> Self

fn into_normalized(self) -> Self

fn is_pm_one(&self) -> bool

fn c_weight(&self) -> f64

impl<X, R> Sub<&PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the - operator.

fn sub(self, rhs: &PolyBase<X, R>) -> Self::Output

Performs the - operation.

impl<X, R> Sub<&PolyBase<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the - operator.

fn sub(self, rhs: &PolyBase<X, R>) -> Self::Output

Performs the - operation.

impl<X, R> Sub<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>, PolyBase<X, R>: Clone,

type Output = PolyBase<X, R>

The resulting type after applying the - operator.

fn sub(self, rhs: PolyBase<X, R>) -> Self::Output

Performs the - operation.

impl<X, R> Sub for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

type Output = PolyBase<X, R>

The resulting type after applying the - operator.

fn sub(self, rhs: PolyBase<X, R>) -> Self::Output

Performs the - operation.

impl<X, R> SubAssign<&PolyBase<X, R>> for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn sub_assign(&mut self, rhs: &PolyBase<X, R>)

Performs the -= operation.

impl<X, R> SubAssign for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

fn sub_assign(&mut self, rhs: PolyBase<X, R>)

Performs the -= operation.

impl<X, R> Zero for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

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<X, R> AddGrp for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> AddGrpOps<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> AddGrpOps for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> AddMonOps<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> AddMonOps for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> Eq for PolyBase<X, R>

where X: Mono + Eq, R: Ring + Eq, for<'x> &'x R: RingOps<R>,

impl<const X: char, R> EucRingOps<PolyBase<Var<X, usize>, R>> for &Poly<X, R>

where R: Field, for<'x> &'x R: FieldOps<R>,

impl<X, R> MonOps<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> MonOps for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> RingOps<PolyBase<X, R>> for &PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> RingOps for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,

impl<X, R> StructuralPartialEq for PolyBase<X, R>

where X: Mono, R: Ring, for<'x> &'x R: RingOps<R>,