Struct algebraics::algebraic_numbers::RealAlgebraicNumber

pub struct RealAlgebraicNumber { /* fields omitted */ }

Methods

impl RealAlgebraicNumber

pub fn new_unchecked(
    minimal_polynomial: Polynomial<BigInt>,
    interval: DyadicFractionInterval
) -> Self

pub fn minimal_polynomial(&self) -> &Polynomial<BigInt>

pub fn data(&self) -> &RealAlgebraicNumberData

pub fn into_data(self) -> RealAlgebraicNumberData

pub fn degree(&self) -> usize

pub fn is_rational(&self) -> bool

pub fn is_integer(&self) -> bool

pub fn to_rational(&self) -> Option<Ratio<BigInt>>

pub fn to_integer(&self) -> Option<BigInt>

pub fn interval(&self) -> &DyadicFractionInterval

pub fn into_integer_floor(self) -> BigInt

pub fn to_integer_floor(&self) -> BigInt

pub fn into_floor(self) -> Self

pub fn floor(&self) -> Self

pub fn into_fract(self) -> Self

returns self - self.floor()

pub fn fract(&self) -> Self

returns self - self.floor()

pub fn into_integer_ceil(self) -> BigInt

pub fn to_integer_ceil(&self) -> BigInt

pub fn into_ceil(self) -> Self

pub fn ceil(&self) -> Self

pub fn cmp_with_zero(&self) -> Ordering

pub fn into_integer_trunc(self) -> BigInt

pub fn to_integer_trunc(&self) -> BigInt

pub fn into_trunc(self) -> Self

pub fn trunc(&self) -> Self

pub fn checked_recip(&self) -> Option<Self>

pub fn recip(&self) -> Self

pub fn negative_one() -> Self

pub fn set_negative_one(&mut self)

pub fn is_negative_one(&self) -> bool

pub fn checked_into_pow<E: IntoRationalExponent>(
    self,
    exponent: E
) -> Option<Self>

pub fn checked_pow<E: IntoRationalExponent>(&self, exponent: E) -> Option<Self>

pub fn to_integer_log2(&self) -> Option<i64>

returns Some(log2(self)) if self is a power of 2, otherwise None

pub fn into_checked_floor_log2(self) -> Option<i64>

returns Some(floor(log2(self))) if self is positive, otherwise None

pub fn checked_floor_log2(&self) -> Option<i64>

returns Some(floor(log2(self))) if self is positive, otherwise None

pub fn into_checked_ceil_log2(self) -> Option<i64>

returns Some(ceil(log2(self))) if self is positive, otherwise None

pub fn checked_ceil_log2(&self) -> Option<i64>

returns Some(floor(log2(self))) if self is positive, otherwise None

Trait Implementations

impl ExactDiv<RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

fn checked_exact_div(
    self,
    rhs: RealAlgebraicNumber
) -> Option<RealAlgebraicNumber>

#[must_use] fn exact_div(self, rhs: Rhs) -> Self::Output

impl<'_> ExactDiv<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

fn checked_exact_div(
    self,
    rhs: &RealAlgebraicNumber
) -> Option<RealAlgebraicNumber>

#[must_use] fn exact_div(self, rhs: Rhs) -> Self::Output

impl<'_> ExactDiv<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

fn checked_exact_div(
    self,
    rhs: RealAlgebraicNumber
) -> Option<RealAlgebraicNumber>

#[must_use] fn exact_div(self, rhs: Rhs) -> Self::Output

impl<'a, 'b> ExactDiv<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

type Output = RealAlgebraicNumber

fn checked_exact_div(
    self,
    rhs: &RealAlgebraicNumber
) -> Option<RealAlgebraicNumber>

#[must_use] fn exact_div(self, rhs: Rhs) -> Self::Output

impl ExactDivAssign<RealAlgebraicNumber> for RealAlgebraicNumber

fn checked_exact_div_assign(
    &mut self,
    rhs: RealAlgebraicNumber
) -> Result<(), ()>

fn exact_div_assign(&mut self, rhs: Rhs)

impl<'_> ExactDivAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

fn checked_exact_div_assign(
    &mut self,
    rhs: &RealAlgebraicNumber
) -> Result<(), ()>

fn exact_div_assign(&mut self, rhs: Rhs)

impl AlwaysExactDiv<RealAlgebraicNumber> for RealAlgebraicNumber

impl<'_> AlwaysExactDiv<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

impl<'_> AlwaysExactDiv<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

impl<'a, 'b> AlwaysExactDiv<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

impl AlwaysExactDivAssign<RealAlgebraicNumber> for RealAlgebraicNumber

impl<'_> AlwaysExactDivAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

impl From<u8> for RealAlgebraicNumber

fn from(value: u8) -> Self

Performs the conversion.

impl From<Ratio<u8>> for RealAlgebraicNumber

fn from(value: Ratio<u8>) -> Self

Performs the conversion.

impl From<u16> for RealAlgebraicNumber

fn from(value: u16) -> Self

Performs the conversion.

impl From<Ratio<u16>> for RealAlgebraicNumber

fn from(value: Ratio<u16>) -> Self

Performs the conversion.

impl From<u32> for RealAlgebraicNumber

fn from(value: u32) -> Self

Performs the conversion.

impl From<Ratio<u32>> for RealAlgebraicNumber

fn from(value: Ratio<u32>) -> Self

Performs the conversion.

impl From<u64> for RealAlgebraicNumber

fn from(value: u64) -> Self

Performs the conversion.

impl From<Ratio<u64>> for RealAlgebraicNumber

fn from(value: Ratio<u64>) -> Self

Performs the conversion.

impl From<u128> for RealAlgebraicNumber

fn from(value: u128) -> Self

Performs the conversion.

impl From<Ratio<u128>> for RealAlgebraicNumber

fn from(value: Ratio<u128>) -> Self

Performs the conversion.

impl From<usize> for RealAlgebraicNumber

fn from(value: usize) -> Self

Performs the conversion.

impl From<Ratio<usize>> for RealAlgebraicNumber

fn from(value: Ratio<usize>) -> Self

Performs the conversion.

impl From<BigUint> for RealAlgebraicNumber

fn from(value: BigUint) -> Self

Performs the conversion.

impl From<Ratio<BigUint>> for RealAlgebraicNumber

fn from(value: Ratio<BigUint>) -> Self

Performs the conversion.

impl From<i8> for RealAlgebraicNumber

fn from(value: i8) -> Self

Performs the conversion.

impl From<Ratio<i8>> for RealAlgebraicNumber

fn from(value: Ratio<i8>) -> Self

Performs the conversion.

impl From<i16> for RealAlgebraicNumber

fn from(value: i16) -> Self

Performs the conversion.

impl From<Ratio<i16>> for RealAlgebraicNumber

fn from(value: Ratio<i16>) -> Self

Performs the conversion.

impl From<i32> for RealAlgebraicNumber

fn from(value: i32) -> Self

Performs the conversion.

impl From<Ratio<i32>> for RealAlgebraicNumber

fn from(value: Ratio<i32>) -> Self

Performs the conversion.

impl From<i64> for RealAlgebraicNumber

fn from(value: i64) -> Self

Performs the conversion.

impl From<Ratio<i64>> for RealAlgebraicNumber

fn from(value: Ratio<i64>) -> Self

Performs the conversion.

impl From<i128> for RealAlgebraicNumber

fn from(value: i128) -> Self

Performs the conversion.

impl From<Ratio<i128>> for RealAlgebraicNumber

fn from(value: Ratio<i128>) -> Self

Performs the conversion.

impl From<isize> for RealAlgebraicNumber

fn from(value: isize) -> Self

Performs the conversion.

impl From<Ratio<isize>> for RealAlgebraicNumber

fn from(value: Ratio<isize>) -> Self

Performs the conversion.

impl From<BigInt> for RealAlgebraicNumber

fn from(value: BigInt) -> Self

Performs the conversion.

impl From<Ratio<BigInt>> for RealAlgebraicNumber

fn from(value: Ratio<BigInt>) -> Self

Performs the conversion.

impl Clone for RealAlgebraicNumber

fn clone(&self) -> RealAlgebraicNumber

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Eq for RealAlgebraicNumber

impl Ord for RealAlgebraicNumber

fn cmp(&self, rhs: &RealAlgebraicNumber) -> Ordering

This method returns an Ordering between self and other.

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

Compares and returns the maximum of two values.

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

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

🔬 This is a nightly-only experimental API. (clamp)

Restrict a value to a certain interval.

impl PartialEq<RealAlgebraicNumber> for RealAlgebraicNumber

fn eq(&self, rhs: &RealAlgebraicNumber) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use] fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl PartialOrd<RealAlgebraicNumber> for RealAlgebraicNumber

fn partial_cmp(&self, rhs: &RealAlgebraicNumber) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

#[must_use] fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

#[must_use] fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

#[must_use] fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

#[must_use] fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl Debug for RealAlgebraicNumber

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

Formats the value using the given formatter.

impl Div<RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the / operator.

fn div(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the / operation.

impl<'_> Div<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the / operator.

fn div(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the / operation.

impl<'_> Div<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the / operator.

fn div(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the / operation.

impl<'a, 'b> Div<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the / operator.

fn div(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the / operation.

impl Rem<RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the % operator.

fn rem(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the % operation.

impl<'_> Rem<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the % operator.

fn rem(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the % operation.

impl<'_> Rem<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the % operator.

fn rem(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the % operation.

impl<'a, 'b> Rem<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the % operator.

fn rem(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the % operation.

impl Sub<RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the - operator.

fn sub(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the - operation.

impl<'_> Sub<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the - operator.

fn sub(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the - operation.

impl<'_> Sub<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the - operator.

fn sub(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the - operation.

impl<'a, 'b> Sub<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the - operator.

fn sub(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the - operation.

impl Add<RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the + operator.

fn add(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the + operation.

impl<'_> Add<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the + operator.

fn add(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the + operation.

impl<'_> Add<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the + operator.

fn add(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the + operation.

impl<'a, 'b> Add<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the + operator.

fn add(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the + operation.

impl Mul<RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the * operator.

fn mul(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the * operation.

impl<'_> Mul<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the * operator.

fn mul(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the * operation.

impl<'_> Mul<RealAlgebraicNumber> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the * operator.

fn mul(self, rhs: RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the * operation.

impl<'a, 'b> Mul<&'a RealAlgebraicNumber> for &'b RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the * operator.

fn mul(self, rhs: &RealAlgebraicNumber) -> RealAlgebraicNumber

Performs the * operation.

impl<'_> Neg for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl AddAssign<RealAlgebraicNumber> for RealAlgebraicNumber

fn add_assign(&mut self, rhs: RealAlgebraicNumber)

Performs the += operation.

impl<'_> AddAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

fn add_assign(&mut self, rhs: &RealAlgebraicNumber)

Performs the += operation.

impl SubAssign<RealAlgebraicNumber> for RealAlgebraicNumber

fn sub_assign(&mut self, rhs: RealAlgebraicNumber)

Performs the -= operation.

impl<'_> SubAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

fn sub_assign(&mut self, rhs: &RealAlgebraicNumber)

Performs the -= operation.

impl MulAssign<RealAlgebraicNumber> for RealAlgebraicNumber

fn mul_assign(&mut self, rhs: RealAlgebraicNumber)

Performs the *= operation.

impl<'_> MulAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

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

Performs the *= operation.

impl DivAssign<RealAlgebraicNumber> for RealAlgebraicNumber

fn div_assign(&mut self, rhs: RealAlgebraicNumber)

Performs the /= operation.

impl<'_> DivAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

fn div_assign(&mut self, rhs: &RealAlgebraicNumber)

Performs the /= operation.

impl RemAssign<RealAlgebraicNumber> for RealAlgebraicNumber

fn rem_assign(&mut self, rhs: RealAlgebraicNumber)

Performs the %= operation.

impl<'_> RemAssign<&'_ RealAlgebraicNumber> for RealAlgebraicNumber

fn rem_assign(&mut self, rhs: &RealAlgebraicNumber)

Performs the %= operation.

impl Num for RealAlgebraicNumber

type FromStrRadixErr = RealAlgebraicNumberParseError

fn from_str_radix(
    _str: &str,
    _radix: u32
) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix <= 36.

impl One for RealAlgebraicNumber

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<E: IntoRationalExponent> Pow<E> for RealAlgebraicNumber

type Output = RealAlgebraicNumber

The result after applying the operator.

fn pow(self, exponent: E) -> RealAlgebraicNumber

Returns self to the power rhs.

impl<'_, E: IntoRationalExponent> Pow<E> for &'_ RealAlgebraicNumber

type Output = RealAlgebraicNumber

The result after applying the operator.

fn pow(self, exponent: E) -> RealAlgebraicNumber

Returns self to the power rhs.

impl Signed for RealAlgebraicNumber

fn abs(&self) -> Self

Computes the absolute value.

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

The positive difference of two numbers.

fn signum(&self) -> Self

Returns the sign of the number.

• 0 if the number is zero
• 1 if the number is positive
• -1 if the number is negative

fn is_positive(&self) -> bool

Returns true if the number is positive and false if the number is zero or negative.

fn is_negative(&self) -> bool

Returns true if the number is negative and false if the number is zero or positive.

impl Zero for RealAlgebraicNumber

fn zero() -> Self

Returns the additive identity element of Self, 0. # Purity

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.