#[repr(transparent)]pub struct Frac<T>(pub T);
Expand description
Tuple Fields§
§0: T
Implementations§
Source§impl Frac<[i8; 2]>
Available on crate feature _int_i8
only.
impl Frac<[i8; 2]>
_int_i8
only.§Fraction related methods for [i8; 2]
Sourcepub const fn denominator(self) -> i8 ⓘ
pub const fn denominator(self) -> i8 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> i8 ⓘ
pub const fn den(self) -> i8 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_i8, 1]).is_valid()];
assert![!Frac([2_i8, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_i8, 3]).is_proper()];
assert![!Frac([3_i8, 3]).is_proper()];
assert![!Frac([4_i8, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<i8>; 2]>
Available on crate feature _int_i8
only.
impl Frac<[Int<i8>; 2]>
_int_i8
only.§Fraction related methods for [Int<i8>; 2]
Sourcepub const fn numerator(self) -> Int<i8>
pub const fn numerator(self) -> Int<i8>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<i8>
pub const fn denominator(self) -> Int<i8>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_i8), Int(1)]).is_valid()];
assert![!Frac([Int(2_i8), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_i8), Int(3)]).is_proper()];
assert![!Frac([Int(3_i8), Int(3)]).is_proper()];
assert![!Frac([Int(4_i8), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[i16; 2]>
Available on crate feature _int_i16
only.
impl Frac<[i16; 2]>
_int_i16
only.§Fraction related methods for [i16; 2]
Sourcepub const fn numerator(self) -> i16 ⓘ
pub const fn numerator(self) -> i16 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> i16 ⓘ
pub const fn denominator(self) -> i16 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> i16 ⓘ
pub const fn den(self) -> i16 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_i16, 1]).is_valid()];
assert![!Frac([2_i16, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_i16, 3]).is_proper()];
assert![!Frac([3_i16, 3]).is_proper()];
assert![!Frac([4_i16, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<i16>; 2]>
Available on crate feature _int_i16
only.
impl Frac<[Int<i16>; 2]>
_int_i16
only.§Fraction related methods for [Int<i16>; 2]
Sourcepub const fn numerator(self) -> Int<i16>
pub const fn numerator(self) -> Int<i16>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<i16>
pub const fn denominator(self) -> Int<i16>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_i16), Int(1)]).is_valid()];
assert![!Frac([Int(2_i16), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_i16), Int(3)]).is_proper()];
assert![!Frac([Int(3_i16), Int(3)]).is_proper()];
assert![!Frac([Int(4_i16), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[i32; 2]>
Available on crate feature _int_i32
only.
impl Frac<[i32; 2]>
_int_i32
only.§Fraction related methods for [i32; 2]
Sourcepub const fn numerator(self) -> i32 ⓘ
pub const fn numerator(self) -> i32 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> i32 ⓘ
pub const fn denominator(self) -> i32 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> i32 ⓘ
pub const fn den(self) -> i32 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_i32, 1]).is_valid()];
assert![!Frac([2_i32, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_i32, 3]).is_proper()];
assert![!Frac([3_i32, 3]).is_proper()];
assert![!Frac([4_i32, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<i32>; 2]>
Available on crate feature _int_i32
only.
impl Frac<[Int<i32>; 2]>
_int_i32
only.§Fraction related methods for [Int<i32>; 2]
Sourcepub const fn numerator(self) -> Int<i32>
pub const fn numerator(self) -> Int<i32>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<i32>
pub const fn denominator(self) -> Int<i32>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_i32), Int(1)]).is_valid()];
assert![!Frac([Int(2_i32), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_i32), Int(3)]).is_proper()];
assert![!Frac([Int(3_i32), Int(3)]).is_proper()];
assert![!Frac([Int(4_i32), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[i64; 2]>
Available on crate feature _int_i64
only.
impl Frac<[i64; 2]>
_int_i64
only.§Fraction related methods for [i64; 2]
Sourcepub const fn numerator(self) -> i64 ⓘ
pub const fn numerator(self) -> i64 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> i64 ⓘ
pub const fn denominator(self) -> i64 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> i64 ⓘ
pub const fn den(self) -> i64 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_i64, 1]).is_valid()];
assert![!Frac([2_i64, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_i64, 3]).is_proper()];
assert![!Frac([3_i64, 3]).is_proper()];
assert![!Frac([4_i64, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<i64>; 2]>
Available on crate feature _int_i64
only.
impl Frac<[Int<i64>; 2]>
_int_i64
only.§Fraction related methods for [Int<i64>; 2]
Sourcepub const fn numerator(self) -> Int<i64>
pub const fn numerator(self) -> Int<i64>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<i64>
pub const fn denominator(self) -> Int<i64>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_i64), Int(1)]).is_valid()];
assert![!Frac([Int(2_i64), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_i64), Int(3)]).is_proper()];
assert![!Frac([Int(3_i64), Int(3)]).is_proper()];
assert![!Frac([Int(4_i64), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[i128; 2]>
Available on crate feature _int_i128
only.
impl Frac<[i128; 2]>
_int_i128
only.§Fraction related methods for [i128; 2]
Sourcepub const fn numerator(self) -> i128 ⓘ
pub const fn numerator(self) -> i128 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> i128 ⓘ
pub const fn denominator(self) -> i128 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> i128 ⓘ
pub const fn den(self) -> i128 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_i128, 1]).is_valid()];
assert![!Frac([2_i128, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_i128, 3]).is_proper()];
assert![!Frac([3_i128, 3]).is_proper()];
assert![!Frac([4_i128, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<i128>; 2]>
Available on crate feature _int_i128
only.
impl Frac<[Int<i128>; 2]>
_int_i128
only.§Fraction related methods for [Int<i128>; 2]
Sourcepub const fn numerator(self) -> Int<i128>
pub const fn numerator(self) -> Int<i128>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<i128>
pub const fn denominator(self) -> Int<i128>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_i128), Int(1)]).is_valid()];
assert![!Frac([Int(2_i128), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_i128), Int(3)]).is_proper()];
assert![!Frac([Int(3_i128), Int(3)]).is_proper()];
assert![!Frac([Int(4_i128), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[isize; 2]>
Available on crate feature _int_isize
only.
impl Frac<[isize; 2]>
_int_isize
only.§Fraction related methods for [isize; 2]
Sourcepub const fn numerator(self) -> isize ⓘ
pub const fn numerator(self) -> isize ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> isize ⓘ
pub const fn denominator(self) -> isize ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> isize ⓘ
pub const fn den(self) -> isize ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_isize, 1]).is_valid()];
assert![!Frac([2_isize, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_isize, 3]).is_proper()];
assert![!Frac([3_isize, 3]).is_proper()];
assert![!Frac([4_isize, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<isize>; 2]>
Available on crate feature _int_isize
only.
impl Frac<[Int<isize>; 2]>
_int_isize
only.§Fraction related methods for [Int<isize>; 2]
Sourcepub const fn numerator(self) -> Int<isize>
pub const fn numerator(self) -> Int<isize>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<isize>
pub const fn denominator(self) -> Int<isize>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_isize), Int(1)]).is_valid()];
assert![!Frac([Int(2_isize), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_isize), Int(3)]).is_proper()];
assert![!Frac([Int(3_isize), Int(3)]).is_proper()];
assert![!Frac([Int(4_isize), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Sourcepub const fn gcd(self) -> Int<isize>
pub const fn gcd(self) -> Int<isize>
Returns the GCD between the numerator and the denominator.
Source§impl Frac<[u8; 2]>
Available on crate feature _int_u8
only.
impl Frac<[u8; 2]>
_int_u8
only.§Fraction related methods for [u8; 2]
Sourcepub const fn denominator(self) -> u8 ⓘ
pub const fn denominator(self) -> u8 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> u8 ⓘ
pub const fn den(self) -> u8 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_u8, 1]).is_valid()];
assert![!Frac([2_u8, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_u8, 3]).is_proper()];
assert![!Frac([3_u8, 3]).is_proper()];
assert![!Frac([4_u8, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<u8>; 2]>
Available on crate feature _int_u8
only.
impl Frac<[Int<u8>; 2]>
_int_u8
only.§Fraction related methods for [Int<u8>; 2]
Sourcepub const fn numerator(self) -> Int<u8>
pub const fn numerator(self) -> Int<u8>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<u8>
pub const fn denominator(self) -> Int<u8>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_u8), Int(1)]).is_valid()];
assert![!Frac([Int(2_u8), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_u8), Int(3)]).is_proper()];
assert![!Frac([Int(3_u8), Int(3)]).is_proper()];
assert![!Frac([Int(4_u8), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[u16; 2]>
Available on crate feature _int_u16
only.
impl Frac<[u16; 2]>
_int_u16
only.§Fraction related methods for [u16; 2]
Sourcepub const fn numerator(self) -> u16 ⓘ
pub const fn numerator(self) -> u16 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> u16 ⓘ
pub const fn denominator(self) -> u16 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> u16 ⓘ
pub const fn den(self) -> u16 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_u16, 1]).is_valid()];
assert![!Frac([2_u16, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_u16, 3]).is_proper()];
assert![!Frac([3_u16, 3]).is_proper()];
assert![!Frac([4_u16, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<u16>; 2]>
Available on crate feature _int_u16
only.
impl Frac<[Int<u16>; 2]>
_int_u16
only.§Fraction related methods for [Int<u16>; 2]
Sourcepub const fn numerator(self) -> Int<u16>
pub const fn numerator(self) -> Int<u16>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<u16>
pub const fn denominator(self) -> Int<u16>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_u16), Int(1)]).is_valid()];
assert![!Frac([Int(2_u16), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_u16), Int(3)]).is_proper()];
assert![!Frac([Int(3_u16), Int(3)]).is_proper()];
assert![!Frac([Int(4_u16), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[u32; 2]>
Available on crate feature _int_u32
only.
impl Frac<[u32; 2]>
_int_u32
only.§Fraction related methods for [u32; 2]
Sourcepub const fn numerator(self) -> u32 ⓘ
pub const fn numerator(self) -> u32 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> u32 ⓘ
pub const fn denominator(self) -> u32 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> u32 ⓘ
pub const fn den(self) -> u32 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_u32, 1]).is_valid()];
assert![!Frac([2_u32, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_u32, 3]).is_proper()];
assert![!Frac([3_u32, 3]).is_proper()];
assert![!Frac([4_u32, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<u32>; 2]>
Available on crate feature _int_u32
only.
impl Frac<[Int<u32>; 2]>
_int_u32
only.§Fraction related methods for [Int<u32>; 2]
Sourcepub const fn numerator(self) -> Int<u32>
pub const fn numerator(self) -> Int<u32>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<u32>
pub const fn denominator(self) -> Int<u32>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_u32), Int(1)]).is_valid()];
assert![!Frac([Int(2_u32), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_u32), Int(3)]).is_proper()];
assert![!Frac([Int(3_u32), Int(3)]).is_proper()];
assert![!Frac([Int(4_u32), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[u64; 2]>
Available on crate feature _int_u64
only.
impl Frac<[u64; 2]>
_int_u64
only.§Fraction related methods for [u64; 2]
Sourcepub const fn numerator(self) -> u64 ⓘ
pub const fn numerator(self) -> u64 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> u64 ⓘ
pub const fn denominator(self) -> u64 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> u64 ⓘ
pub const fn den(self) -> u64 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_u64, 1]).is_valid()];
assert![!Frac([2_u64, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_u64, 3]).is_proper()];
assert![!Frac([3_u64, 3]).is_proper()];
assert![!Frac([4_u64, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<u64>; 2]>
Available on crate feature _int_u64
only.
impl Frac<[Int<u64>; 2]>
_int_u64
only.§Fraction related methods for [Int<u64>; 2]
Sourcepub const fn numerator(self) -> Int<u64>
pub const fn numerator(self) -> Int<u64>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<u64>
pub const fn denominator(self) -> Int<u64>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_u64), Int(1)]).is_valid()];
assert![!Frac([Int(2_u64), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_u64), Int(3)]).is_proper()];
assert![!Frac([Int(3_u64), Int(3)]).is_proper()];
assert![!Frac([Int(4_u64), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[u128; 2]>
Available on crate feature _int_u128
only.
impl Frac<[u128; 2]>
_int_u128
only.§Fraction related methods for [u128; 2]
Sourcepub const fn numerator(self) -> u128 ⓘ
pub const fn numerator(self) -> u128 ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> u128 ⓘ
pub const fn denominator(self) -> u128 ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> u128 ⓘ
pub const fn den(self) -> u128 ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_u128, 1]).is_valid()];
assert![!Frac([2_u128, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_u128, 3]).is_proper()];
assert![!Frac([3_u128, 3]).is_proper()];
assert![!Frac([4_u128, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<u128>; 2]>
Available on crate feature _int_u128
only.
impl Frac<[Int<u128>; 2]>
_int_u128
only.§Fraction related methods for [Int<u128>; 2]
Sourcepub const fn numerator(self) -> Int<u128>
pub const fn numerator(self) -> Int<u128>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<u128>
pub const fn denominator(self) -> Int<u128>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_u128), Int(1)]).is_valid()];
assert![!Frac([Int(2_u128), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_u128), Int(3)]).is_proper()];
assert![!Frac([Int(3_u128), Int(3)]).is_proper()];
assert![!Frac([Int(4_u128), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[usize; 2]>
Available on crate feature _int_usize
only.
impl Frac<[usize; 2]>
_int_usize
only.§Fraction related methods for [usize; 2]
Sourcepub const fn numerator(self) -> usize ⓘ
pub const fn numerator(self) -> usize ⓘ
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> usize ⓘ
pub const fn denominator(self) -> usize ⓘ
Returns the denominator (the second number of the sequence).
Sourcepub const fn den(self) -> usize ⓘ
pub const fn den(self) -> usize ⓘ
Alias of denominator
.
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([2_usize, 1]).is_valid()];
assert![!Frac([2_usize, 0]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([2_usize, 3]).is_proper()];
assert![!Frac([3_usize, 3]).is_proper()];
assert![!Frac([4_usize, 3]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Source§impl Frac<[Int<usize>; 2]>
Available on crate feature _int_usize
only.
impl Frac<[Int<usize>; 2]>
_int_usize
only.§Fraction related methods for [Int<usize>; 2]
Sourcepub const fn numerator(self) -> Int<usize>
pub const fn numerator(self) -> Int<usize>
Returns the numerator (the first number of the sequence).
Sourcepub const fn denominator(self) -> Int<usize>
pub const fn denominator(self) -> Int<usize>
Returns the denominator (the second number of the sequence).
Sourcepub const fn is_valid(self) -> bool
pub const fn is_valid(self) -> bool
Retuns true
if the fraction is valid (denominator != 0)
.
§Examples
assert![Frac([Int(2_usize), Int(1)]).is_valid()];
assert![!Frac([Int(2_usize), Int(0)]).is_valid()];
Sourcepub const fn is_proper(self) -> bool
pub const fn is_proper(self) -> bool
Returns true
if the fraction is proper
(numerator.abs() < denominator.abs())
.
§Examples
assert![Frac([Int(2_usize), Int(3)]).is_proper()];
assert![!Frac([Int(3_usize), Int(3)]).is_proper()];
assert![!Frac([Int(4_usize), Int(3)]).is_proper()];
Sourcepub const fn is_reduced(self) -> bool
pub const fn is_reduced(self) -> bool
Retuns true
if the fraction is in the simplest possible form (gcd() == 1)
.
Sourcepub const fn gcd(self) -> Int<usize>
pub const fn gcd(self) -> Int<usize>
Returns the GCD between the numerator and the denominator.
Trait Implementations§
Source§impl<T: Hasher> Hasher for Frac<T>
impl<T: Hasher> Hasher for Frac<T>
1.26.0 · Source§fn write_u128(&mut self, i: u128)
fn write_u128(&mut self, i: u128)
u128
into this hasher.1.3.0 · Source§fn write_usize(&mut self, i: usize)
fn write_usize(&mut self, i: usize)
usize
into this hasher.1.26.0 · Source§fn write_i128(&mut self, i: i128)
fn write_i128(&mut self, i: i128)
i128
into this hasher.1.3.0 · Source§fn write_isize(&mut self, i: isize)
fn write_isize(&mut self, i: isize)
isize
into this hasher.Source§fn write_length_prefix(&mut self, len: usize)
fn write_length_prefix(&mut self, len: usize)
hasher_prefixfree_extras
)impl<T: Copy> Copy for Frac<T>
Auto Trait Implementations§
impl<T> Freeze for Frac<T>where
T: Freeze,
impl<T> RefUnwindSafe for Frac<T>where
T: RefUnwindSafe,
impl<T> Send for Frac<T>where
T: Send,
impl<T> Sync for Frac<T>where
T: Sync,
impl<T> Unpin for Frac<T>where
T: Unpin,
impl<T> UnwindSafe for Frac<T>where
T: UnwindSafe,
Blanket Implementations§
§impl<T> ArchivePointee for T
impl<T> ArchivePointee for T
§type ArchivedMetadata = ()
type ArchivedMetadata = ()
§fn pointer_metadata(
_: &<T as ArchivePointee>::ArchivedMetadata,
) -> <T as Pointee>::Metadata
fn pointer_metadata( _: &<T as ArchivePointee>::ArchivedMetadata, ) -> <T as Pointee>::Metadata
Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
Source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Source§impl<T> ByteSized for T
impl<T> ByteSized for T
Source§const BYTE_ALIGN: usize = _
const BYTE_ALIGN: usize = _
Source§fn byte_align(&self) -> usize ⓘ
fn byte_align(&self) -> usize ⓘ
Source§fn ptr_size_ratio(&self) -> [usize; 2]
fn ptr_size_ratio(&self) -> [usize; 2]
Source§impl<T, R> Chain<R> for Twhere
T: ?Sized,
impl<T, R> Chain<R> for Twhere
T: ?Sized,
Source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
Source§impl<T> ExtAny for T
impl<T> ExtAny for T
Source§fn as_any_mut(&mut self) -> &mut dyn Anywhere
Self: Sized,
fn as_any_mut(&mut self) -> &mut dyn Anywhere
Self: Sized,
Source§impl<T> ExtMem for Twhere
T: ?Sized,
impl<T> ExtMem for Twhere
T: ?Sized,
Source§const NEEDS_DROP: bool = _
const NEEDS_DROP: bool = _
Source§fn mem_align_of_val(&self) -> usize ⓘ
fn mem_align_of_val(&self) -> usize ⓘ
Source§fn mem_size_of_val(&self) -> usize ⓘ
fn mem_size_of_val(&self) -> usize ⓘ
Source§fn mem_needs_drop(&self) -> bool
fn mem_needs_drop(&self) -> bool
true
if dropping values of this type matters. Read moreSource§fn mem_forget(self)where
Self: Sized,
fn mem_forget(self)where
Self: Sized,
self
without running its destructor. Read moreSource§fn mem_replace(&mut self, other: Self) -> Selfwhere
Self: Sized,
fn mem_replace(&mut self, other: Self) -> Selfwhere
Self: Sized,
Source§unsafe fn mem_zeroed<T>() -> T
unsafe fn mem_zeroed<T>() -> T
unsafe_layout
only.T
represented by the all-zero byte-pattern. Read moreSource§unsafe fn mem_transmute_copy<Src, Dst>(src: &Src) -> Dst
unsafe fn mem_transmute_copy<Src, Dst>(src: &Src) -> Dst
unsafe_layout
only.T
represented by the all-zero byte-pattern. Read moreSource§fn mem_as_bytes(&self) -> &[u8] ⓘ
fn mem_as_bytes(&self) -> &[u8] ⓘ
unsafe_slice
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impl<S> FromSample<S> for S
fn from_sample_(s: S) -> S
Source§impl<T> Hook for T
impl<T> Hook for T
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impl<T> Instrument for T
§fn instrument(self, span: Span) -> Instrumented<Self> ⓘ
fn instrument(self, span: Span) -> Instrumented<Self> ⓘ
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Source§impl<T> IntoEither for T
impl<T> IntoEither for T
Source§fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
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variant of Either<Self, Self>
if into_left
is true
.
Converts self
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otherwise. Read moreSource§fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
self
into a Left
variant of Either<Self, Self>
if into_left(&self)
returns true
.
Converts self
into a Right
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otherwise. Read more§impl<F, T> IntoSample<T> for Fwhere
T: FromSample<F>,
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T: FromSample<F>,
fn into_sample(self) -> T
§impl<T> LayoutRaw for T
impl<T> LayoutRaw for T
§fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError> ⓘ
fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError> ⓘ
§impl<T, N1, N2> Niching<NichedOption<T, N1>> for N2
impl<T, N1, N2> Niching<NichedOption<T, N1>> for N2
§unsafe fn is_niched(niched: *const NichedOption<T, N1>) -> bool
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