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Finite

Struct Finite 

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pub struct Finite<T>(/* private fields */);
Expand description

Proof that a float is finite (neither NaN nor ±∞).

Spent by a total order: Finite<T> implements Ord/Eq, which bare f32/f64 can’t (NaN breaks reflexivity and trichotomy). With NaN gone, partial_cmp is always Some, so sorting / min/max / BTreeMap keys are total. repr(transparent); no new_ct (floats are outside the CT model).

use const_num_traits::Finite;

let a = Finite::<f64>::new(1.0).unwrap();
let b = Finite::<f64>::new(2.0).unwrap();
assert!(a < b);
assert_eq!(a.max(b).get(), 2.0);
assert!(Finite::<f64>::new(f64::NAN).is_none());
assert!(Finite::<f64>::new(f64::INFINITY).is_none());

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impl Finite<f32>

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pub const fn new(value: f32) -> Option<Self>

Some iff value is finite (not NaN, not ±∞).

const fn: finiteness is a bit test — the exponent field is not all-ones — which sidesteps the non-const is_finite.

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pub const unsafe fn new_unchecked(value: f32) -> Self

§Safety

value must be finite.

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pub const fn get(self) -> f32

The proven-finite value.

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pub fn from_ref(value: &f32) -> Option<&Self>

Zero-cost borrowed proof (repr(transparent) reinterpret).

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impl Finite<f64>

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pub const fn new(value: f64) -> Option<Self>

Some iff value is finite (not NaN, not ±∞).

const fn: finiteness is a bit test — the exponent field is not all-ones — which sidesteps the non-const is_finite.

Examples found in repository?
examples/typestates.rs (line 118)
107fn finite_floats() {
108    let raw = [2.0f64, f64::NAN, 1.0, f64::INFINITY, 0.5];
109
110    // keep only the finite values; each carries its proof
111    let mut xs: Vec<Finite<f64>> = raw.iter().copied().filter_map(Finite::<f64>::new).collect();
112    xs.sort(); // total Ord — no `partial_cmp().unwrap()`
113    let sorted: Vec<f64> = xs.iter().map(|f| f.get()).collect();
114    assert_eq!(sorted, [0.5, 1.0, 2.0]);
115
116    // finite floats as map keys
117    let mut table: BTreeMap<Finite<f64>, &str> = BTreeMap::new();
118    table.insert(Finite::<f64>::new(1.0).unwrap(), "one");
119    table.insert(Finite::<f64>::new(2.0).unwrap(), "two");
120    assert_eq!(table.get(&Finite::<f64>::new(1.0).unwrap()), Some(&"one"));
121}
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pub const unsafe fn new_unchecked(value: f64) -> Self

§Safety

value must be finite.

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pub const fn get(self) -> f64

The proven-finite value.

Examples found in repository?
examples/typestates.rs (line 113)
107fn finite_floats() {
108    let raw = [2.0f64, f64::NAN, 1.0, f64::INFINITY, 0.5];
109
110    // keep only the finite values; each carries its proof
111    let mut xs: Vec<Finite<f64>> = raw.iter().copied().filter_map(Finite::<f64>::new).collect();
112    xs.sort(); // total Ord — no `partial_cmp().unwrap()`
113    let sorted: Vec<f64> = xs.iter().map(|f| f.get()).collect();
114    assert_eq!(sorted, [0.5, 1.0, 2.0]);
115
116    // finite floats as map keys
117    let mut table: BTreeMap<Finite<f64>, &str> = BTreeMap::new();
118    table.insert(Finite::<f64>::new(1.0).unwrap(), "one");
119    table.insert(Finite::<f64>::new(2.0).unwrap(), "two");
120    assert_eq!(table.get(&Finite::<f64>::new(1.0).unwrap()), Some(&"one"));
121}
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pub fn from_ref(value: &f64) -> Option<&Self>

Zero-cost borrowed proof (repr(transparent) reinterpret).

Trait Implementations§

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impl<T: Clone> Clone for Finite<T>

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

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl<T: Copy> Copy for Finite<T>

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impl<T: Debug> Debug for Finite<T>

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

Formats the value using the given formatter. Read more
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impl Eq for Finite<f32>

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impl Eq for Finite<f64>

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impl Ord for Finite<f32>

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

This method returns an Ordering between self and other. Read more
1.21.0 (const: unstable) · Source§

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

Compares and returns the maximum of two values. Read more
1.21.0 (const: unstable) · Source§

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

Compares and returns the minimum of two values. Read more
1.50.0 (const: unstable) · Source§

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

Restrict a value to a certain interval. Read more
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impl Ord for Finite<f64>

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

This method returns an Ordering between self and other. Read more
1.21.0 (const: unstable) · Source§

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

Compares and returns the maximum of two values. Read more
1.21.0 (const: unstable) · Source§

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

Compares and returns the minimum of two values. Read more
1.50.0 (const: unstable) · Source§

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

Restrict a value to a certain interval. Read more
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impl PartialEq for Finite<f32>

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialEq for Finite<f64>

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd for Finite<f32>

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

This method returns an ordering between self and other values if one exists. Read more
1.0.0 (const: unstable) · Source§

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

Tests less than (for self and other) and is used by the < operator. Read more
1.0.0 (const: unstable) · Source§

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

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
1.0.0 (const: unstable) · Source§

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

Tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 (const: unstable) · Source§

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl PartialOrd for Finite<f64>

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

This method returns an ordering between self and other values if one exists. Read more
1.0.0 (const: unstable) · Source§

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

Tests less than (for self and other) and is used by the < operator. Read more
1.0.0 (const: unstable) · Source§

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

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
1.0.0 (const: unstable) · Source§

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

Tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 (const: unstable) · Source§

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl TryFrom<f32> for Finite<f32>

Checked construction by value; mirrors Finite::new. The natural boundary for rejecting NaN/±∞ from external float input with ?.

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type Error = TypestateError

The type returned in the event of a conversion error.
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fn try_from(value: f32) -> Result<Self, TypestateError>

Performs the conversion.
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impl TryFrom<f64> for Finite<f64>

Checked construction by value; mirrors Finite::new. The natural boundary for rejecting NaN/±∞ from external float input with ?.

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type Error = TypestateError

The type returned in the event of a conversion error.
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fn try_from(value: f64) -> Result<Self, TypestateError>

Performs the conversion.

Auto Trait Implementations§

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impl<T> Freeze for Finite<T>
where T: Freeze,

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impl<T> RefUnwindSafe for Finite<T>
where T: RefUnwindSafe,

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impl<T> Send for Finite<T>
where T: Send,

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impl<T> Sync for Finite<T>
where T: Sync,

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impl<T> Unpin for Finite<T>
where T: Unpin,

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impl<T> UnsafeUnpin for Finite<T>
where T: UnsafeUnpin,

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

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.