Struct calcu_rs::rational::Rational

pub struct Rational(pub(crate) Ratio<Int>);

Tuple Fields

0: Ratio<Int>

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 = _

const fn new_raw(n: Int, d: Int) -> Self

pub fn new(n: impl Into<Int>, d: impl Into<Int>) -> Self

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

pub const fn numer(&self) -> Int

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

pub fn f64_approx(&self) -> f64

pub const fn denom(&self) -> Int

pub fn is_min_two(&self) -> bool

pub fn is_min_one(&self) -> bool

pub fn is_zero(&self) -> bool

pub fn is_one(&self) -> bool

pub fn is_two(&self) -> bool

pub fn is_pos(&self) -> bool

pub fn is_neg(&self) -> bool

pub fn is_int(&self) -> bool

pub fn is_fraction(&self) -> bool

pub fn is_even(&self) -> bool

pub fn is_odd(&self) -> bool

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

none if self is zero

pub fn abs(self) -> Self

pub fn floor(self) -> Int

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>

pub fn int_gcd(&self, rhs: &Self) -> Option<Rational>

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.

impl Add for Rational

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign<&Rational> for Rational

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

Performs the += operation.

impl AddAssign for Rational

fn add_assign(&mut self, rhs: Rational)

Performs the += operation.

impl Clone for Rational

fn clone(&self) -> Rational

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Rational

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

Formats the value using the given formatter.

impl Default for Rational

fn default() -> Rational

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Rational

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Rational

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

Formats the value using the given formatter.

impl Div<&Rational> for Rational

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl Div for Rational

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl DivAssign<&Rational> for Rational

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

Performs the /= operation.

impl DivAssign for Rational

fn div_assign(&mut self, rhs: Rational)

Performs the /= operation.

impl From<(i128, i128)> for Rational

fn from(value: (i128, i128)) -> Self

Converts to this type from the input type.

impl From<(i32, i32)> for Rational

fn from(value: (i32, i32)) -> Self

Converts to this type from the input type.

impl From<Rational> for Atom

fn from(value: Rational) -> 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<i128> for Rational

fn from(value: i128) -> 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<u32> for Rational

fn from(value: u32) -> Self

Converts to this type from the input type.

impl From<u64> for Rational

fn from(value: u64) -> 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.

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 Mul<&Rational> for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl MulAssign<&Rational> for Rational

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

Performs the *= operation.

impl MulAssign for Rational

fn mul_assign(&mut self, rhs: Rational)

Performs the *= operation.

impl Ord for Rational

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

This method returns an Ordering between self and other.

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

where Self: Sized,

Compares and returns the maximum of two values.

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

where Self: Sized,

Compares and returns the minimum of two values.

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

where Self: Sized + PartialOrd,

Restrict a value to a certain interval.

impl PartialEq for Rational

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

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

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

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

Tests less than (for self and other) and is used by the < operator.

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

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

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl Serialize for Rational

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

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.

impl Sub for Rational

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign<&Rational> for Rational

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

Performs the -= operation.

impl SubAssign for Rational

fn sub_assign(&mut self, rhs: Rational)

Performs the -= operation.

impl SymbolicExpr for Rational

fn reduce(&self) -> Expr

basic simplification that can be applied regardless of context

fn is_atom(&self) -> bool

fn n_args(&self) -> usize

fn args(&self) -> &[Expr]

fn args_mut(&mut self) -> &mut [Expr]

fn iter_args(&self) -> impl Iterator<Item = &Expr>

fn map_args(self, map_fn: impl Fn(&mut Expr)) -> Self

impl Copy for Rational

impl Eq for Rational

impl StructuralPartialEq for Rational