Enum fraction::GenericFraction

pub enum GenericFraction<T>
where
    T: Clone + Integer,
{
    Rational(Sign, Ratio<T>),
    Infinity(Sign),
    NaN,
}

Generic implementation of the fraction type

Examples

use fraction::GenericFraction;

type F = GenericFraction<u8>;

let first = F::new (1u8, 2u8);
let second = F::new (2u8, 8u8);

assert_eq! (first + second, F::new (3u8, 4u8));

Since GenericFraction keeps its sign explicitly and independently of the numerics, it is not recommended to use signed types, although it’s completely valid with the cost of target type capacity.

use fraction::GenericFraction;

type F = GenericFraction<i8>;

let first = F::new (1, 2);
let second = F::new (2, 8);

assert_eq! (first + second, F::new (3, 4));

Variants

Rational(Sign, Ratio<T>)

Infinity(Sign)

NaN

Implementations

impl<T> GenericFraction<T>

where T: Clone + Integer,

pub fn new_generic<N, D>( sign: Sign, num: N, den: D, ) -> Option<GenericFraction<T>>

where N: GenericInteger + PartialOrd, D: GenericInteger + PartialOrd, T: GenericInteger,

Constructs a new fraction with the specified numerator and denominator Handles gracefully signed integers even if the storage type is unsigned and vise versa The arguments can be of any integer types imlementing the necessary traits

Examples

use fraction::{GenericFraction, Sign};
type F = GenericFraction<u16>;

let f12 = F::new_generic(Sign::Plus, 1i8, 2u8).unwrap();
let f34 = F::new_generic(Sign::Plus, 3i16, 4u32).unwrap();
let f56 = F::new_generic(Sign::Plus, 5i64, 6u128).unwrap();
let f78 = F::new_generic(Sign::Plus, 7usize, 8isize).unwrap();

assert_eq! ((*f12.numer().unwrap(), *f12.denom().unwrap()), (1u16, 2u16));
assert_eq! ((*f34.numer().unwrap(), *f34.denom().unwrap()), (3u16, 4u16));
assert_eq! ((*f56.numer().unwrap(), *f56.denom().unwrap()), (5u16, 6u16));
assert_eq! ((*f78.numer().unwrap(), *f78.denom().unwrap()), (7u16, 8u16));

pub fn new<N, D>(num: N, den: D) -> GenericFraction<T>

where N: Into<T>, D: Into<T>,

Constructs a new fraction with the specified numerator and denominator

The arguments must me either of T type, or implement Into<T> trait.

Examples

use fraction::GenericFraction;
type F = GenericFraction<u16>;

let _f = F::new(1u8, 2u16);

pub fn new_neg<N, D>(num: N, den: D) -> GenericFraction<T>

where N: Into<T>, D: Into<T>,

Constructs a new negative fraction with the specified numerator and denominator

The arguments must be either of T type, or implement Into<T> trait.

Examples

use fraction::GenericFraction;
type F = GenericFraction<u16>;

let _f = F::new_neg (1u8, 2u16);

pub const fn new_raw(num: T, den: T) -> GenericFraction<T>

Constructs a new fraction without types casting, checking for denom == 0 and reducing numbers.

You must be careful with this function because all the other functionality parts rely on the numbers to be reduced. That said, in the normal case 2/4 has to be reduced to 1/2, but it will not happen with new_raw.

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

let _f = F::new_raw (1u8, 2u8);

pub const fn new_raw_signed(sign: Sign, num: T, den: T) -> GenericFraction<T>

The same as fn new_raw, but allows explicitly set sign.

Examples

use fraction::{GenericFraction, Sign};
type F = GenericFraction<u8>;

let _f = F::new_raw_signed(Sign::Minus, 1u8, 2u8);

pub const fn numer(&self) -> Option<&T>

Returns a reference to the numerator value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

let fra = F::new (5u8, 6u8);
assert_eq! (5, *fra.numer ().unwrap ());

pub const fn denom(&self) -> Option<&T>

Returns a reference to the denominator value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

let fra = F::new (5u8, 6u8);
assert_eq! (6, *fra.denom ().unwrap ());

pub const fn sign(&self) -> Option<Sign>

Returns a reference to the sign value

Examples

use fraction::{ GenericFraction, Sign };
type F = GenericFraction<u8>;


let fra = F::new (5u8, 6u8);
assert_eq! (Sign::Plus, fra.sign ().unwrap ());

let fra = F::new_neg (5u8, 6u8);
assert_eq! (Sign::Minus, fra.sign ().unwrap ());


let fra = F::infinity ();
assert_eq! (Sign::Plus, fra.sign ().unwrap ());

let fra = F::neg_infinity ();
assert_eq! (Sign::Minus, fra.sign ().unwrap ());


let fra = F::nan ();
assert_eq! (None, fra.sign ());

pub fn from_fraction<F>(from: GenericFraction<F>) -> GenericFraction<T>

where T: From<F>, F: Clone + Integer,

Generates a GenericFraction from GenericFraction where T: From

use fraction::{ Fraction, GenericFraction };
type F8 = GenericFraction<u8>;

let fra8 = F8::new (5u8, 6u8);
assert_eq! (Fraction::new (5u64, 6u64), Fraction::from_fraction(fra8));

pub fn into_fraction<I>(self) -> GenericFraction<I>

where T: Into<I>, I: Clone + Integer,

Generates a GenericFraction from GenericFraction where T: Into

use fraction::{ Fraction, GenericFraction };
type F8 = GenericFraction<u8>;

let fra8 = F8::new (5u8, 6u8);
assert_eq! (Fraction::new (5u64, 6u64), fra8.into_fraction());

impl<T: Clone + Integer> GenericFraction<T>

pub const fn nan() -> Self

Returns NaN value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::nan (), F::new (0, 0));

pub const fn infinity() -> Self

Returns positive Infinity value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::infinity (), F::new (1, 0));

pub const fn neg_infinity() -> Self

Returns negative Infinity value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::neg_infinity (), F::new_neg (1, 0));

pub fn neg_zero() -> Self

Returns zero with negative sign

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::neg_zero (), F::new_neg (0, 1));

pub fn min_positive_value() -> Self

where T: Bounded,

Returns minimal value greater than zero

Examples

use fraction::GenericFraction;
type F8 = GenericFraction<u8>;
type F16 = GenericFraction<u16>;

assert_eq! (F8::min_positive_value (), F8::new (1u8, 255u8));
assert_eq! (F16::min_positive_value (), F16::new (1u16, 65535u16));

pub const fn is_nan(&self) -> bool

Returns true if the value is NaN

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert! (F::nan ().is_nan ());
assert! (F::new (0, 0).is_nan ());

pub const fn is_infinite(&self) -> bool

Returns true if the value is Infinity (does not matter positive or negative)

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert! (F::infinity ().is_infinite ());
assert! (F::new (1u8, 0).is_infinite ());
assert! (F::new_neg (1u8, 0).is_infinite ());

pub const fn is_finite(&self) -> bool

Returns true if the value is not Infinity (does not matter positive or negative)

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert! (! F::infinity ().is_finite ());
assert! (! F::new (1u8, 0).is_finite ());
assert! (! F::new_neg (1u8, 0).is_finite ());

pub fn is_normal(&self) -> bool

Returns true if the number is neither zero, Infinity or NaN

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert! (! F::nan ().is_normal ());
assert! (! F::infinity ().is_normal ());
assert! (! F::neg_infinity ().is_normal ());
assert! (! F::new (0, 1u8).is_normal ());
assert! (! F::neg_zero ().is_normal ());

pub fn classify(&self) -> FpCategory

Returns the floating point category of the number

Examples

use std::num::FpCategory;
use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::nan ().classify (), FpCategory::Nan);
assert_eq! (F::infinity ().classify (), FpCategory::Infinite);
assert_eq! (F::new (0, 1u8).classify (), FpCategory::Zero);
assert_eq! (F::new (1u8, 1u8).classify (), FpCategory::Normal);

pub fn floor(&self) -> Self

Returns the largest integer less than or equal to the value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (7u8, 5u8).floor (), F::new (5u8, 5u8));
assert_eq! (F::new_neg (4u8, 3u8).floor (), F::new_neg (2u8, 1u8));

pub fn ceil(&self) -> Self

Returns the smallest integer greater than or equal to the value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (7u8, 5u8).ceil (), F::new (10u8, 5u8));
assert_eq! (F::new_neg (4u8, 3u8).ceil (), F::new_neg (1u8, 1u8));

pub fn round(&self) -> Self

Returns the nearest integer to the value (.5 goes away from zero)

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (7u8, 5u8).round (), F::new (5u8, 5u8));
assert_eq! (F::new (8u8, 5u8).round (), F::new (10u8, 5u8));
assert_eq! (F::new (3u8, 2u8).round (), F::new (4u8, 2u8));
assert_eq! (F::new (1u8, 2u8).round (), F::new (2u8, 2u8));
assert_eq! (F::new_neg (3u8, 2u8).round (), F::new_neg (2u8, 1u8));

pub fn trunc(&self) -> Self

Returns the integer part of the value

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (7u8, 5u8).trunc (), F::new (5u8, 5u8));
assert_eq! (F::new (8u8, 5u8).trunc (), F::new (5u8, 5u8));

pub fn fract(&self) -> Self

Returns the fractional part of a number

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (7u8, 5u8).fract (), F::new (2u8, 5u8));
assert_eq! (F::new (8u8, 5u8).fract (), F::new (3u8, 5u8));

pub fn abs(&self) -> Self

Returns the absolute value of self

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::nan ().abs (), F::nan ());
assert_eq! (F::infinity ().abs (), F::infinity ());
assert_eq! (F::neg_infinity ().abs (), F::infinity ());
assert_eq! (F::new (1u8, 2u8).abs (), F::new (1u8, 2u8));
assert_eq! (F::new_neg (1u8, 2u8).abs (), F::new (1u8, 2u8));

pub fn signum(&self) -> Self

Returns a number that represents the sign of self

• 1.0 if the number is positive, +0.0 or INFINITY
• -1.0 if the number is negative, -0.0 or NEG_INFINITY
• NAN if the number is NAN

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (1u8, 2u8).signum (), F::new (1u8, 1u8));
assert_eq! (F::new (0u8, 1u8).signum (), F::new (1u8, 1u8));
assert_eq! (F::infinity ().signum (), F::new (1u8, 1u8));
assert_eq! (F::new_neg (1u8, 2u8).signum (), F::new_neg (1u8, 1u8));
assert_eq! (F::neg_zero ().signum (), F::new_neg (1u8, 1u8));
assert_eq! (F::neg_infinity ().signum (), F::new_neg (1u8, 1u8));
assert_eq! (F::nan ().signum (), F::nan ());

pub const fn is_sign_positive(&self) -> bool

Returns true if the sign is positive

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert! (F::new (1u8, 2u8).is_sign_positive ());
assert! (F::infinity ().is_sign_positive ());
assert! (! F::nan ().is_sign_positive ());

pub const fn is_sign_negative(&self) -> bool

Returns true if the sign is negative

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert! (F::new_neg (1u8, 2u8).is_sign_negative ());
assert! (F::neg_zero ().is_sign_negative ());
assert! (F::neg_infinity ().is_sign_negative ());
assert! (! F::nan ().is_sign_negative ());

pub fn mul_add(&self, a: Self, b: Self) -> Self

self.clone () * a + b

Added for interface compatibility with float types

pub fn recip(&self) -> Self

Takes the reciprocal (inverse) of the value (1/x)

Examples

use fraction::GenericFraction;
type F = GenericFraction<u8>;

assert_eq! (F::new (1u8, 2u8).recip (), F::new (2u8, 1u8));
assert_eq! (F::new (0u8, 1u8).recip (), F::infinity ());
assert_eq! (F::infinity ().recip (), F::new (0u8, 1u8));
assert_eq! (F::nan ().recip (), F::nan ());

Trait Implementations

impl<'a, T, O> Add<O> for &'a GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the + operator.

fn add(self, other: O) -> GenericFraction<T>

Performs the + operation.

impl<T, O> Add<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, T> Add for &'a GenericFraction<T>

where T: Clone + Integer,

type Output = GenericFraction<T>

The resulting type after applying the + operator.

fn add(self, other: Self) -> GenericFraction<T>

Performs the + operation.

impl<'a, T> AddAssign<&'a GenericFraction<T>> for GenericFraction<T>

where T: Clone + Integer,

fn add_assign(&mut self, other: &'a Self)

Performs the += operation.

impl<T, O> AddAssign<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

fn add_assign(&mut self, other: O)

Performs the += operation.

impl<T: Bounded + Clone + Integer> Bounded for GenericFraction<T>

fn min_value() -> Self

Returns the smallest finite number this type can represent

fn max_value() -> Self

Returns the largest finite number this type can represent

impl<T> CheckedAdd for GenericFraction<T>

where T: Clone + Integer + CheckedAdd + CheckedSub + CheckedMul,

fn checked_add(&self, other: &Self) -> Option<GenericFraction<T>>

Adds two numbers, checking for overflow. If overflow happens, None is returned.

impl<T> CheckedDiv for GenericFraction<T>

where T: Clone + Integer + CheckedDiv + CheckedMul,

fn checked_div(&self, other: &Self) -> Option<GenericFraction<T>>

Divides two numbers, checking for underflow, overflow and division by zero. If any of that happens, None is returned.

impl<T> CheckedMul for GenericFraction<T>

where T: Clone + Integer + CheckedMul,

fn checked_mul(&self, other: &Self) -> Option<GenericFraction<T>>

Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, None is returned.

impl<T> CheckedSub for GenericFraction<T>

where T: Clone + Integer + CheckedAdd + CheckedSub + CheckedMul,

fn checked_sub(&self, other: &Self) -> Option<GenericFraction<T>>

Subtracts two numbers, checking for underflow. If underflow happens, None is returned.

impl<T> Clone for GenericFraction<T>

where T: Clone + Integer + Clone,

fn clone(&self) -> GenericFraction<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: ConstOne + Integer + Clone> ConstOne for GenericFraction<T>

const ONE: GenericFraction<T> = _

The multiplicative identity element of Self, 1.

impl<T: ConstOne + ConstZero + Integer + Clone> ConstZero for GenericFraction<T>

const ZERO: GenericFraction<T> = _

The additive identity element of Self, 0.

impl<T> Debug for GenericFraction<T>

where T: Clone + Integer + Debug,

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

Formats the value using the given formatter.

impl<T> Default for GenericFraction<T>

where T: Clone + Integer,

fn default() -> Self

Returns the “default value” for a type.

impl<T: Clone + GenericInteger> Display for GenericFraction<T>

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

Formats the value using the given formatter.

impl<'a, T, O> Div<O> for &'a GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the / operator.

fn div(self, other: O) -> GenericFraction<T>

Performs the / operation.

impl<T, O> Div<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the / operator.

fn div(self, other: O) -> Self

Performs the / operation.

impl<'a, T> Div for &'a GenericFraction<T>

where T: Clone + Integer,

type Output = GenericFraction<T>

The resulting type after applying the / operator.

fn div(self, other: Self) -> GenericFraction<T>

Performs the / operation.

impl<'a, T> DivAssign<&'a GenericFraction<T>> for GenericFraction<T>

where T: Clone + Integer,

fn div_assign(&mut self, other: &'a Self)

Performs the /= operation.

impl<T, O> DivAssign<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

fn div_assign(&mut self, other: O)

Performs the /= operation.

impl<T, N, D> From<(N, D)> for GenericFraction<T>

where T: Clone + GenericInteger, N: GenericInteger + PartialOrd, D: GenericInteger + PartialOrd,

fn from(pair: (N, D)) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<BigInt> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, BigInt: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: BigInt) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<BigUint> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, BigUint: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: BigUint) -> GenericFraction<T>

Converts to this type from the input type.

impl<T: Clone + FromPrimitive + Integer + CheckedAdd + CheckedMul + CheckedSub> From<f32> for GenericFraction<T>

fn from(val: f32) -> GenericFraction<T>

Converts to this type from the input type.

impl<T: Clone + FromPrimitive + Integer + CheckedAdd + CheckedMul + CheckedSub> From<f64> for GenericFraction<T>

fn from(val: f64) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<i128> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, i128: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: i128) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<i16> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, i16: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: i16) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<i32> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, i32: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: i32) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<i64> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, i64: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: i64) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<i8> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, i8: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: i8) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<isize> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, isize: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: isize) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<u128> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, u128: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: u128) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<u16> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, u16: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: u16) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<u32> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, u32: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: u32) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<u64> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, u64: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: u64) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<u8> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, u8: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: u8) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> From<usize> for GenericFraction<T>

where T: Clone + Integer + GenericInteger + CheckedAdd + CheckedMul + CheckedSub, usize: GenericInteger + CheckedAdd + CheckedDiv + CheckedMul + CheckedSub + PartialOrd,

fn from(val: usize) -> GenericFraction<T>

Converts to this type from the input type.

impl<T> FromStr for GenericFraction<T>

where T: Clone + Integer + CheckedAdd + CheckedMul,

type Err = ParseError

The associated error which can be returned from parsing.

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

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

impl<T: Clone + Integer + Hash> Hash for GenericFraction<T>

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<'a, T, O> Mul<O> for &'a GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the * operator.

fn mul(self, other: O) -> GenericFraction<T>

Performs the * operation.

impl<T, O> Mul<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a, T> Mul for &'a GenericFraction<T>

where T: Clone + Integer,

type Output = GenericFraction<T>

The resulting type after applying the * operator.

fn mul(self, other: Self) -> GenericFraction<T>

Performs the * operation.

impl<'a, T> MulAssign<&'a GenericFraction<T>> for GenericFraction<T>

where T: Clone + Integer,

fn mul_assign(&mut self, other: &'a Self)

Performs the *= operation.

impl<T, O> MulAssign<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

fn mul_assign(&mut self, other: O)

Performs the *= operation.

impl<'a, T: Clone + Integer> Neg for &'a GenericFraction<T>

type Output = GenericFraction<T>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T: Clone + Integer> Neg for GenericFraction<T>

type Output = GenericFraction<T>

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<T: Clone + Integer> Num for GenericFraction<T>

type FromStrRadixErr = ParseRatioError

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

Convert from a string and radix (typically 2..=36).

impl<T: Clone + Integer> One for GenericFraction<T>

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

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

fn is_one(&self) -> bool

where Self: PartialEq,

Returns true if self is equal to the multiplicative identity.

impl<T: Clone + Integer> Ord for GenericFraction<T>

fn cmp(&self, other: &Self) -> 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<T: Clone + Integer> PartialEq for GenericFraction<T>

fn eq(&self, other: &Self) -> 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<T: Clone + Integer> PartialOrd for GenericFraction<T>

fn partial_cmp(&self, other: &Self) -> 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<'a, T: 'a + Clone + Integer> Product<&'a GenericFraction<T>> for GenericFraction<T>

fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl<T: Clone + Integer> Product for GenericFraction<T>

fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl<'a, T, O> Rem<O> for &'a GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the % operator.

fn rem(self, other: O) -> GenericFraction<T>

Performs the % operation.

impl<T, O> Rem<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the % operator.

fn rem(self, other: O) -> Self

Performs the % operation.

impl<'a, T> Rem for &'a GenericFraction<T>

where T: Clone + Integer,

type Output = GenericFraction<T>

The resulting type after applying the % operator.

fn rem(self, other: Self) -> GenericFraction<T>

Performs the % operation.

impl<'a, T> RemAssign<&'a GenericFraction<T>> for GenericFraction<T>

where T: Clone + Integer,

fn rem_assign(&mut self, other: &'a Self)

Performs the %= operation.

impl<T, O> RemAssign<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

fn rem_assign(&mut self, other: O)

Performs the %= operation.

impl<T: Clone + Integer> Signed for GenericFraction<T>

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.

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<'a, T, O> Sub<O> for &'a GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the - operator.

fn sub(self, other: O) -> GenericFraction<T>

Performs the - operation.

impl<T, O> Sub<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

type Output = GenericFraction<T>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, T> Sub for &'a GenericFraction<T>

where T: Clone + Integer,

type Output = GenericFraction<T>

The resulting type after applying the - operator.

fn sub(self, other: Self) -> GenericFraction<T>

Performs the - operation.

impl<'a, T> SubAssign<&'a GenericFraction<T>> for GenericFraction<T>

where T: Clone + Integer,

fn sub_assign(&mut self, other: &'a Self)

Performs the -= operation.

impl<T, O> SubAssign<O> for GenericFraction<T>

where T: Clone + Integer, O: Into<GenericFraction<T>>,

fn sub_assign(&mut self, other: O)

Performs the -= operation.

impl<'a, T: 'a + Clone + Integer> Sum<&'a GenericFraction<T>> for GenericFraction<T>

fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<T: Clone + Integer> Sum for GenericFraction<T>

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<T: Clone + Integer + PartialEq + ToPrimitive> ToPrimitive for GenericFraction<T>

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64.

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

impl<T> TryFrom<GenericFraction<T>> for BigInt

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for BigUint

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for f32

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for f64

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for i128

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for i16

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for i32

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for i64

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for i8

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for isize

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for u128

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for u16

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for u32

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for u64

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for u8

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T> TryFrom<GenericFraction<T>> for usize

where T: Clone + GenericInteger,

type Error = ()

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<T, F> TryToConvertFrom<GenericFraction<F>> for GenericFraction<T>

where T: TryToConvertFrom<F> + Clone + Integer, F: Clone + Integer,

fn try_to_convert_from(src: GenericFraction<F>) -> Option<Self>

impl<T: Clone + Integer> Zero for GenericFraction<T>

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<T> Copy for GenericFraction<T>

where T: Copy + Integer,

Copy semantics to be applied for the target type, but only if T also has it.

impl<T: Clone + Integer> Eq for GenericFraction<T>