Struct calcu_rs::rational::Rational

pub struct Rational(pub(crate) Rational);

Tuple Fields§

§0: Rational

Implementations§

impl Rational

pub const MINUS_TWO: Self = _

pub const MINUS_ONE: Self = _

pub const ZERO: Self = _

pub const ONE: Self = _

pub const TWO: Self = _

pub const fn new_int(n: i64) -> Self

pub fn numer(&self) -> Int

pub fn to_int(&self) -> Option<Int>

pub fn denom(&self) -> Int

pub fn is_zero(&self) -> bool

pub fn is_one(&self) -> bool

pub fn is_pos(&self) -> bool

pub fn is_neg(&self) -> bool

pub fn is_int(&self) -> bool

pub fn inverse(self) -> Option<Self>

none if self is zero

pub fn abs(self) -> Self

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

pub fn pow(self, rhs: Self) -> (Self, Self)

will calculate self to the power of an integer number.

if the exponent is (a/b) non-int: we calculate the power to the int quotient of a/b and return the remainder: (self^quot, rem).

n^(a/b) = n^(quot + rem) = n^(quot) * n^(rem) -> (n^quot, rem)

quot: Int, rest: Fraction, n^(quot): Rational

returns the input if calculation was not possible

pub fn pow_basic(self, rhs: Self) -> Option<Self>

Trait Implementations§

impl Add<&Rational> for Rational

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more

impl AddAssign<&Rational> for Rational

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

Performs the += operation. Read more

impl AddAssign for Rational

fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more

impl Clone for Rational

fn clone(&self) -> Rational

Returns a copy of the value. Read more

1.0.0 · source§

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

Performs copy-assignment from source. Read more

impl Debug for Rational

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

Formats the value using the given formatter. Read more

impl Default for Rational

fn default() -> Rational

Returns the “default value” for a type. Read more

impl Display for Rational

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

Formats the value using the given formatter. Read more

impl Div<&Rational> for Rational

type Output = Option<Rational>

The resulting type after applying the / operator.

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

Performs the / operation. Read more

impl Div for Rational

type Output = Option<Rational>

The resulting type after applying the / operator.

fn div(self, rhs: Self) -> Self::Output

Performs the / operation. Read more

impl From<(i64, i64)> for Rational

fn from(value: (i64, i64)) -> Self

Converts to this type from the input type.

impl From<(u64, u64)> for Rational

fn from(value: (u64, u64)) -> Self

Converts to this type from the input type.

impl From<Int> for Rational

fn from(value: Int) -> Self

Converts to this type from the input type.

impl From<Integer> for Rational

fn from(value: Integer) -> Self

Converts to this type from the input type.

impl From<Rational> for Real

fn from(value: Rational) -> Self

Converts to this type from the input type.

impl From<i32> for Rational

fn from(value: i32) -> Self

Converts to this type from the input type.

impl From<i64> for Rational

fn from(value: i64) -> Self

Converts to this type from the input type.

impl From<u128> for Rational

fn from(value: u128) -> Self

Converts to this type from the input type.

impl Hash for Rational

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

Feeds this value into the given Hasher. Read more

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

Feeds a slice of this type into the given Hasher. Read more

impl Mul<&Rational> for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl Mul for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl MulAssign<&Rational> for Rational

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

Performs the *= operation. Read more

impl MulAssign for Rational

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more

impl Ord for Rational

fn cmp(&self, other: &Rational) -> Ordering

This method returns an Ordering between self and other. Read more

1.21.0 · source§

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

Compares and returns the maximum of two values. Read more

1.21.0 · source§

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

Compares and returns the minimum of two values. Read more

1.50.0 · source§

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

Restrict a value to a certain interval. Read more

impl PartialEq for Rational

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

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

1.0.0 · source§

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

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

impl PartialOrd for Rational

fn partial_cmp(&self, other: &Rational) -> Option<Ordering>

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

1.0.0 · source§

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

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

1.0.0 · source§

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

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

1.0.0 · source§

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

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

1.0.0 · source§

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

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

impl Sub<&Rational> for Rational

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more

impl SubAssign<&Rational> for Rational

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

Performs the -= operation. Read more

impl SubAssign for Rational

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more

impl TryFrom<Rational> for Int

type Error = ()

The type returned in the event of a conversion error.

fn try_from(value: Rational) -> Result<Self, Self::Error>

Performs the conversion.

impl Eq for Rational

impl StructuralPartialEq for Rational

Auto Trait Implementations§

impl Freeze for Rational

impl RefUnwindSafe for Rational

impl Send for Rational

impl Sync for Rational

impl Unpin for Rational

impl UnwindSafe for Rational

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more

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

default unsafe fn clone_to_uninit(&self, dst: *mut T)

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

Performs copy-assignment from self to dst. Read more

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more

impl<T, U> ExactFrom<T> for U
where U: TryFrom<T>,

fn exact_from(value: T) -> U

impl<T, U> ExactInto<U> for T
where U: ExactFrom<T>,

fn exact_into(self) -> U

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

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

fn into(self) -> U

Calls U::from(self).

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

impl<T> IntoEither for T

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

impl<T, U> OverflowingInto<U> for T
where U: OverflowingFrom<T>,

fn overflowing_into(self) -> (U, bool)

impl<T, U> RoundingInto<U> for T
where U: RoundingFrom<T>,

fn rounding_into(self, rm: RoundingMode) -> (U, Ordering)

impl<T, U> SaturatingInto<U> for T
where U: SaturatingFrom<T>,

fn saturating_into(self) -> U

impl<T> ToDebugString for T
where T: Debug,

fn to_debug_string(&self) -> String

Returns the String produced by Ts Debug implementation.

§Examples

use malachite_base::strings::ToDebugString;

assert_eq!([1, 2, 3].to_debug_string(), "[1, 2, 3]");
assert_eq!(
    [vec![2, 3], vec![], vec![4]].to_debug_string(),
    "[[2, 3], [], [4]]"
);
assert_eq!(Some(5).to_debug_string(), "Some(5)");

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

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T> ToString for T
where T: Display + ?Sized,

default fn to_string(&self) -> String

Converts the given value to a String. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.

impl<T, U> WrappingInto<U> for T
where U: WrappingFrom<T>,

fn wrapping_into(self) -> U