Struct Frac Copy item path

impl Frac<[i64; 2]>

Available on crate feature _int_i64 only.

§Fraction related methods for `[i64; 2]`

pub const fn numerator(self) -> i64 ⓘ

Returns the numerator (the first number of the sequence).

pub const fn num(self) -> i64 ⓘ

Alias of numerator.

pub const fn denominator(self) -> i64 ⓘ

Returns the denominator (the second number of the sequence).

pub const fn den(self) -> i64 ⓘ

Alias of denominator.

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()];

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()];

pub const fn is_reduced(self) -> bool

Retuns true if the fraction is in the simplest possible form (gcd() == 1).

pub const fn reduce(self) -> Frac<[i64; 2]>

Simplify a fraction.

pub const fn gcd(self) -> i64 ⓘ

Returns the GCD between the numerator and the denominator.

pub const fn lcm(self) -> Result<i64>

Returns the LCM between the numerator and the denominator.

§Errors

Could Overflow.

pub fn add(self, other: [i64; 2]) -> Result<Frac<[i64; 2]>>

Adds two fractions.

impl Frac<[Int<i64>; 2]>

Available on crate feature _int_i64 only.

§Fraction related methods for `[Int<i64>; 2]`

pub const fn numerator(self) -> Int<i64>

Returns the numerator (the first number of the sequence).

pub const fn denominator(self) -> Int<i64>

Returns the denominator (the second number of the sequence).

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()];

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()];

pub const fn is_reduced(self) -> bool

Retuns true if the fraction is in the simplest possible form (gcd() == 1).

pub const fn reduce(self) -> Frac<[Int<i64>; 2]>

Simplify a fraction.

pub const fn gcd(self) -> Int<i64>

Returns the GCD between the numerator and the denominator.

pub const fn lcm(self) -> Result<Int<i64>>

Returns the LCM between the numerator and the denominator.

§Errors

Could Overflow.

pub fn add(self, other: [Int<i64>; 2]) -> Result<Frac<[Int<i64>; 2]>>

Adds two fractions.

impl Frac<[u32; 2]>

Available on crate feature _int_u32 only.

§Fraction related methods for `[u32; 2]`

pub const fn numerator(self) -> u32 ⓘ

Returns the numerator (the first number of the sequence).

pub const fn num(self) -> u32 ⓘ

Alias of numerator.

pub const fn denominator(self) -> u32 ⓘ

Returns the denominator (the second number of the sequence).

pub const fn den(self) -> u32 ⓘ

Alias of denominator.

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()];

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()];

pub const fn is_reduced(self) -> bool

Retuns true if the fraction is in the simplest possible form (gcd() == 1).

pub const fn reduce(self) -> Frac<[u32; 2]>

Simplify a fraction.

pub const fn gcd(self) -> u32 ⓘ

Returns the GCD between the numerator and the denominator.

pub const fn lcm(self) -> Result<u32>

Returns the LCM between the numerator and the denominator.

§Errors

Could Overflow.

pub fn add(self, other: [u32; 2]) -> Result<Frac<[u32; 2]>>

Adds two fractions.

impl Frac<[Int<u32>; 2]>

Available on crate feature _int_u32 only.

§Fraction related methods for `[Int<u32>; 2]`

pub const fn numerator(self) -> Int<u32>

Returns the numerator (the first number of the sequence).

pub const fn denominator(self) -> Int<u32>

Returns the denominator (the second number of the sequence).

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()];

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()];

pub const fn is_reduced(self) -> bool

Retuns true if the fraction is in the simplest possible form (gcd() == 1).

pub const fn reduce(self) -> Frac<[Int<u32>; 2]>

Simplify a fraction.

pub const fn gcd(self) -> Int<u32>

Returns the GCD between the numerator and the denominator.

pub const fn lcm(self) -> Result<Int<u32>>

Returns the LCM between the numerator and the denominator.

§Errors

Could Overflow.

pub fn add(self, other: [Int<u32>; 2]) -> Result<Frac<[Int<u32>; 2]>>

Adds two fractions.

Trait Implementations§

impl<T: Binary> Binary for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: Clone> Clone for Frac<T>

fn clone(&self) -> Self

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<T: Debug> Debug for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: Display> Display for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: Hash> Hash for Frac<T>

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

Feeds this value into the given Hasher. Read more

1.3.0 · Source§

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<T: Hasher> Hasher for Frac<T>

fn finish(&self) -> u64

Returns the hash value for the values written so far. Read more

fn write(&mut self, bytes: &[u8])

Writes some data into this Hasher. Read more

1.3.0 · Source§

fn write_u8(&mut self, i: u8)

Writes a single u8 into this hasher.

1.3.0 · Source§

fn write_u16(&mut self, i: u16)

Writes a single u16 into this hasher.

1.3.0 · Source§

fn write_u32(&mut self, i: u32)

Writes a single u32 into this hasher.

1.3.0 · Source§

fn write_u64(&mut self, i: u64)

Writes a single u64 into this hasher.

1.26.0 · Source§

fn write_u128(&mut self, i: u128)

Writes a single u128 into this hasher.

1.3.0 · Source§

fn write_usize(&mut self, i: usize)

Writes a single usize into this hasher.

1.3.0 · Source§

fn write_i8(&mut self, i: i8)

Writes a single i8 into this hasher.

1.3.0 · Source§

fn write_i16(&mut self, i: i16)

Writes a single i16 into this hasher.

1.3.0 · Source§

fn write_i32(&mut self, i: i32)

Writes a single i32 into this hasher.

1.3.0 · Source§

fn write_i64(&mut self, i: i64)

Writes a single i64 into this hasher.

1.26.0 · Source§

fn write_i128(&mut self, i: i128)

Writes a single i128 into this hasher.

1.3.0 · Source§

fn write_isize(&mut self, i: isize)

Writes a single isize into this hasher.

fn write_length_prefix(&mut self, len: usize)

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

Writes a length prefix into this hasher, as part of being prefix-free. Read more

fn write_str(&mut self, s: &str)

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

Writes a single str into this hasher. Read more

impl<T: LowerExp> LowerExp for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: LowerHex> LowerHex for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: Octal> Octal for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: UpperExp> UpperExp for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: UpperHex> UpperHex for Frac<T>

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

Formats the value using the given formatter. Read more

impl<T: Copy> Copy for Frac<T>

Auto Trait Implementations§

impl<T> UnwindSafe for Frac<T>
where T: UnwindSafe,

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> ByteSized for T

const BYTE_ALIGN: usize = _

The alignment of this type in bytes.

const BYTE_SIZE: usize = _

The size of this type in bytes.

fn byte_align(&self) -> usize

Returns the alignment of this type in bytes.

fn byte_size(&self) -> usize

Returns the size of this type in bytes. Read more

fn ptr_size_ratio(&self) -> [usize; 2]

Returns the size ratio between Ptr::BYTES and BYTE_SIZE. Read more

impl<T, R> Chain<R> for T
where T: ?Sized,

fn chain<F>(self, f: F) -> R
where F: FnOnce(Self) -> R, Self: Sized,

Chain a function which takes the parameter by value.

fn chain_ref<F>(&self, f: F) -> R
where F: FnOnce(&Self) -> R,

Chain a function which takes the parameter by shared reference.

fn chain_mut<F>(&mut self, f: F) -> R
where F: FnOnce(&mut Self) -> R,

Chain a function which takes the parameter by exclusive reference.

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

unsafe fn clone_to_uninit(&self, dst: *mut u8)

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

Performs copy-assignment from self to dst. Read more

impl<T> ExtAny for T
where T: Any + ?Sized,

fn type_id() -> TypeId

Returns the TypeId of Self. Read more

fn type_of(&self) -> TypeId

Returns the TypeId of self. Read more

fn type_name(&self) -> &'static str ⓘ

Returns the type name of self. Read more

fn type_is<T: 'static>(&self) -> bool

Returns true if Self is of type T. Read more

fn type_hash(&self) -> u64

Returns a deterministic hash of the TypeId of Self.

fn type_hash_with<H: Hasher>(&self, hasher: H) -> u64

Returns a deterministic hash of the TypeId of Self using a custom hasher.

fn as_any_ref(&self) -> &dyn Any
where Self: Sized,

Upcasts &self as &dyn Any. Read more

fn as_any_mut(&mut self) -> &mut dyn Any
where Self: Sized,

Upcasts &mut self as &mut dyn Any. Read more

fn as_any_box(self: Box<Self>) -> Box<dyn Any>
where Self: Sized,

Upcasts Box<self> as Box<dyn Any>. Read more

fn downcast_ref<T: 'static>(&self) -> Option<&T> ⓘ

Available on crate feature unsafe_layout only.

Returns some shared reference to the inner value if it is of type T. Read more

fn downcast_mut<T: 'static>(&mut self) -> Option<&mut T> ⓘ

Available on crate feature unsafe_layout only.

Returns some exclusive reference to the inner value if it is of type T. Read more

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

const NEEDS_DROP: bool = _

Know whether dropping values of this type matters, in compile-time.

fn mem_align_of<T>() -> usize

Returns the minimum alignment of the type in bytes. Read more

fn mem_align_of_val(&self) -> usize

Returns the alignment of the pointed-to value in bytes. Read more

fn mem_size_of<T>() -> usize

Returns the size of a type in bytes. Read more

fn mem_size_of_val(&self) -> usize

Returns the size of the pointed-to value in bytes. Read more

fn mem_copy(&self) -> Self
where Self: Copy,

Bitwise-copies a value. Read more

fn mem_needs_drop(&self) -> bool

Returns true if dropping values of this type matters. Read more

fn mem_drop(self)
where Self: Sized,

Drops self by running its destructor. Read more

fn mem_forget(self)
where Self: Sized,

Forgets about self without running its destructor. Read more

fn mem_replace(&mut self, other: Self) -> Self
where Self: Sized,

Replaces self with other, returning the previous value of self. Read more

fn mem_take(&mut self) -> Self
where Self: Default,

Replaces self with its default value, returning the previous value of self. Read more

fn mem_swap(&mut self, other: &mut Self)
where Self: Sized,

Swaps the value of self and other without deinitializing either one. Read more

unsafe fn mem_zeroed<T>() -> T

Available on crate feature unsafe_layout only.

Returns the value of type T represented by the all-zero byte-pattern. Read more

unsafe fn mem_transmute_copy<Src, Dst>(src: &Src) -> Dst

Available on crate feature unsafe_layout only.

Returns the value of type T represented by the all-zero byte-pattern. Read more

fn mem_as_bytes(&self) -> &[u8] ⓘ
where Self: Sync + Unpin,

Available on crate feature unsafe_slice only.

View a Sync + Unpin self as &[u8]. Read more

fn mem_as_bytes_mut(&mut self) -> &mut [u8] ⓘ
where Self: Sync + Unpin,

Available on crate feature unsafe_slice only.

View a Sync + Unpin self as &mut [u8]. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<S> FromSample<S> for S

fn from_sample_(s: S) -> S

impl<T> Hook for T

fn hook_ref<F>(self, f: F) -> Self
where F: FnOnce(&Self),

Applies a function which takes the parameter by shared reference, and then returns the (possibly) modified owned value. Read more

fn hook_mut<F>(self, f: F) -> Self
where F: FnOnce(&mut Self),

Applies a function which takes the parameter by exclusive reference, and then returns the (possibly) modified owned value. Read more

impl<T> Instrument for T

fn instrument(self, span: Span) -> Instrumented<Self> ⓘ

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more

fn in_current_span(self) -> Instrumented<Self> ⓘ

Instruments this type with the current Span, returning an Instrumented wrapper. Read more

impl<T, U> Into 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