Struct Beat 

pub struct Beat {
    pub num: i64,
    pub den: u32,
}

An exact musical position or duration as a rational number of beats: num / den, always normalized (denominator positive, gcd-reduced, zero canonicalized to 0/1). Tuplets and repeated transforms (stretch, rotate, concatenate) stay exact — no floating-point drift ever accumulates before the frame boundary.

Beat::new(2, 4) IS Beat::new(1, 2). A zero den is floored to 1 (the same degenerate-value clamp the song grid applies), so deserialization can never produce a division by zero. Serde is the flat struct {"num":..,"den":..}; deserializing normalizes through Beat::new.

Fields

num: i64

The numerator (beats × den), carries the sign.

den: u32

The denominator, always > 0 after normalization.

Implementations

impl Beat

pub const fn new(num: i64, den: u32) -> Beat

A normalized beat: gcd-reduced, den > 0, zero as 0/1. A den of 0 is floored to 1.

pub const fn zero() -> Beat

Zero beats — the origin of the musical timeline.

pub const fn from_int(n: i64) -> Beat

A whole number of beats (n/1).

pub fn checked_add(self, other: Beat) -> Result<Beat, BeatError>

Exact sum, erroring when the (unreduced) result doesn’t fit a Beat.

pub fn checked_sub(self, other: Beat) -> Result<Beat, BeatError>

Exact difference, erroring when the (unreduced) result doesn’t fit a Beat.

pub fn mul_rational(self, num: i64, den: u32) -> Result<Beat, BeatError>

Exact scaling by the rational factor num / den, erroring when the (unreduced) result doesn’t fit a Beat.

pub fn scale(self, factor: i64) -> Result<Beat, BeatError>

Exact scaling by a whole number (e.g. a 4-beat phrase repeated 3 times is phrase.scale(3)).

pub fn to_f64(self) -> f64

The floating-point value, for the single crossing to frames at the scheduling boundary (and nowhere else — composition math stays exact).

Trait Implementations

impl Clone for Beat

fn clone(&self) -> Beat

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for Beat

impl Debug for Beat

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Beat

Deserializing routes through Beat::new so the normalization invariant holds no matter where the value came from.

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Beat

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

3/2, or the bare integer when the denominator is 1 (4, not 4/1).

impl Eq for Beat

impl From<(i64, u32)> for Beat

fn from((num, den): (i64, u32)) -> Beat

Converts to this type from the input type.

impl Hash for Beat

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 JsonSchema for Beat

fn schema_name() -> Cow<'static, str>

The name of the generated JSON Schema.

fn schema_id() -> Cow<'static, str>

Returns a string that uniquely identifies the schema produced by this type.

fn json_schema(generator: &mut SchemaGenerator) -> Schema

Generates a JSON Schema for this type.

fn inline_schema() -> bool

Whether JSON Schemas generated for this type should be included directly in parent schemas, rather than being re-used where possible using the $ref keyword.

impl Ord for Beat

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,

Restrict a value to a certain interval.

impl PartialEq for Beat

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

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for Beat

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 Serialize for Beat

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for Beat