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I128CO

Struct I128CO 

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pub struct I128CO { /* private fields */ }

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impl I128CO

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pub const fn try_new(start: i128, end_excl: i128) -> Option<Self>

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pub const unsafe fn new_unchecked(start: i128, end_excl: i128) -> Self

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pub const fn checked_from_midpoint_len(mid: i128, len: u128) -> Option<Self>

Constructs an I128CO interval from a midpoint and length (u128).

§Parameters
  • mid: the desired midpoint of the interval
  • len: the desired length of the interval in units, must be 1..=u128::MAX
§Returns
  • Some(I128CO) if the interval [start, end_excl) can be represented in i128
  • None if len = 0 or the computed start / end_excl would overflow i128
§Guarantees
  • Returned interval satisfies start < end_excl
  • Maximum accepted input length is u128::MAX
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pub const fn saturating_from_midpoint_len(mid: i128, len: u128) -> Option<Self>

Constructs an I128CO interval from a midpoint and length (u128) with saturating semantics.

§Parameters
  • mid: the desired midpoint of the interval
  • len: the desired length of the interval in units, must be 1..=u128::MAX
§Behavior
  • Values are saturated at i128::MIN / i128::MAX to prevent overflow.
  • If len = 0, returns None.
§Guarantees
  • Returned interval satisfies start < end_excl
  • Maximum accepted input length is u128::MAX
  • Fully compatible with codegen for other signed integer interval types
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impl I128CO

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pub const fn start(self) -> i128

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pub const fn end_excl(self) -> i128

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pub const fn end_incl(self) -> i128

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pub const fn len(self) -> u128

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pub const fn midpoint(self) -> i128

Returns the midpoint of the interval [start, end_excl), using floor division if the length is even.

§Guarantees
  • midpoint()[self.start, self.end_excl - 1]
  • Works for intervals with maximum length (entire i128 range)
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pub const fn contains(self, x: i128) -> bool

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pub const fn contains_interval(self, other: Self) -> bool

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pub const fn iter(self) -> Range<i128>

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pub const fn to_range(self) -> Range<i128>

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pub const fn intersects(self, other: Self) -> bool

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pub const fn is_adjacent(self, other: Self) -> bool

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pub const fn is_contiguous_with(self, other: Self) -> bool

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impl I128CO

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pub const fn intersection(self, other: Self) -> Option<Self>

Returns the intersection of two intervals.

If the intervals do not overlap, returns None.

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pub const fn convex_hull(self, other: Self) -> Self

Returns the convex hull (smallest interval containing both) of two intervals.

Always returns a valid I128CO.

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pub const fn between(self, other: Self) -> Option<Self>

Returns the interval strictly between two intervals.

If the intervals are contiguous or overlap, returns None.

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pub const fn union(self, other: Self) -> OneTwo<Self>

Returns the union of two intervals.

  • If intervals are contiguous or overlapping, returns One containing the merged interval.
  • Otherwise, returns Two containing both intervals in ascending order.
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pub const fn difference(self, other: Self) -> ZeroOneTwo<Self>

Returns the difference of two intervals (self - other).

  • If no overlap, returns One(self).
  • If partial overlap, returns One or Two depending on remaining segments.
  • If fully contained, returns Zero.
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pub const fn symmetric_difference(self, other: Self) -> ZeroOneTwo<Self>

Returns the symmetric difference of two intervals.

Equivalent to (self - other) ∪ (other - self).

  • If intervals do not overlap, returns Two(self, other) in order.
  • If intervals partially overlap, returns remaining non-overlapping segments as One or Two.
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impl I128CO

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pub const fn checked_minkowski_add(self, other: Self) -> Option<Self>

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pub const fn checked_minkowski_sub(self, other: Self) -> Option<Self>

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pub const fn checked_minkowski_mul_hull(self, other: Self) -> Option<Self>

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pub const fn checked_minkowski_div_hull(self, other: Self) -> Option<Self>

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impl I128CO

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pub const fn checked_minkowski_add_scalar(self, n: i128) -> Option<Self>

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pub const fn checked_minkowski_sub_scalar(self, n: i128) -> Option<Self>

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pub const fn checked_minkowski_mul_scalar_hull(self, n: i128) -> Option<Self>

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pub const fn checked_minkowski_div_scalar_hull(self, n: i128) -> Option<Self>

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impl I128CO

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pub const fn saturating_minkowski_add(self, other: Self) -> Option<Self>

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pub const fn saturating_minkowski_sub(self, other: Self) -> Option<Self>

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pub const fn saturating_minkowski_mul_hull(self, other: Self) -> Option<Self>

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pub const fn saturating_minkowski_div_hull(self, other: Self) -> Option<Self>

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impl I128CO

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pub const fn saturating_minkowski_add_scalar(self, n: i128) -> Option<Self>

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pub const fn saturating_minkowski_sub_scalar(self, n: i128) -> Option<Self>

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pub const fn saturating_minkowski_mul_scalar_hull(self, n: i128) -> Option<Self>

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pub const fn saturating_minkowski_div_scalar_hull(self, n: i128) -> Option<Self>

Trait Implementations§

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impl COAlgebra for I128CO

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fn intersection(self, other: Self) -> Option<Self>

Returns the overlapping region of two intervals, if any.
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fn convex_hull(self, other: Self) -> Self

Returns the smallest interval containing both intervals.
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fn between(self, other: Self) -> Option<Self>

Returns the interval strictly between two separated intervals. Read more
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fn union(self, other: Self) -> OneTwo<Self>

Returns the union of two intervals. Read more
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fn difference(self, other: Self) -> ZeroOneTwo<Self>

Returns self \ other. Read more
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fn symmetric_difference(self, other: Self) -> ZeroOneTwo<Self>

Returns the symmetric difference of two intervals. Read more
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impl COBounds for I128CO

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fn start(self) -> i128

Returns the inclusive lower bound.
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fn end_excl(self) -> i128

Returns the exclusive upper bound.
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fn end_incl(self) -> i128

Returns the inclusive upper bound. Read more
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impl COCheckedMinkowskiHull for I128CO

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fn checked_minkowski_mul_hull(self, other: Self) -> Option<Self>

Returns the interval hull containing every point in self * other.
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fn checked_minkowski_div_hull(self, other: Self) -> Option<Self>

Returns the interval hull containing every point in self / other.
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fn checked_minkowski_mul_scalar_hull(self, scalar: i128) -> Option<Self>

Returns the interval hull containing every point in self * scalar.
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fn checked_minkowski_div_scalar_hull(self, scalar: i128) -> Option<Self>

Returns the interval hull containing every point in self / scalar.
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impl COCheckedMinkowskiLinear for I128CO

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fn checked_minkowski_add(self, other: Self) -> Option<Self>

Returns the exact Minkowski sum self + other.
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fn checked_minkowski_sub(self, other: Self) -> Option<Self>

Returns the exact Minkowski subtraction self - other.
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fn checked_minkowski_add_scalar(self, scalar: i128) -> Option<Self>

Returns the exact translation self + scalar.
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fn checked_minkowski_sub_scalar(self, scalar: i128) -> Option<Self>

Returns the exact translation self - scalar.
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impl COConstruct for I128CO

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fn try_new(start: i128, end_excl: i128) -> Option<Self>

Constructs [start, end_excl), returning None for an empty or reversed interval.
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unsafe fn new_unchecked(start: i128, end_excl: i128) -> Self

Constructs [start, end_excl) without checking the interval invariant. Read more
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impl COMeasure for I128CO

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fn len(self) -> u128

Returns the exact interval length.
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impl COMidpoint for I128CO

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fn midpoint(self) -> i128

Returns the midpoint coordinate, using floor rounding where required.
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impl COMidpointConstruct for I128CO

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fn checked_from_midpoint_len(mid: i128, len: u128) -> Option<Self>

Constructs an interval centered around mid with exact length len. Read more
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fn saturating_from_midpoint_len(mid: i128, len: u128) -> Option<Self>

Constructs an interval centered around mid with saturating endpoint arithmetic. Read more
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impl COPredicates for I128CO

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fn contains(self, x: i128) -> bool

Returns whether x is contained in this interval.
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fn contains_interval(self, other: Self) -> bool

Returns whether other is fully contained in this interval.
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fn intersects(self, other: Self) -> bool

Returns whether this interval and other overlap with positive length.
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fn is_adjacent(self, other: Self) -> bool

Returns whether this interval and other touch at exactly one boundary without overlapping.
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fn is_contiguous_with(self, other: Self) -> bool

Returns whether this interval and other overlap or are adjacent.
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impl COPrimitive for I128CO

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impl CORange for I128CO

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fn to_range(self) -> Range<i128>

Returns the standard-library half-open range represented by this interval.
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fn iter(self) -> Range<i128>

Returns the standard-library range used to iterate covered coordinates. Read more
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impl COSaturatingMinkowskiHull for I128CO

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fn saturating_minkowski_mul_hull(self, other: Self) -> Option<Self>

Returns the saturated interval hull of self * other. Read more
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fn saturating_minkowski_div_hull(self, other: Self) -> Option<Self>

Returns the saturated interval hull of self / other. Read more
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fn saturating_minkowski_mul_scalar_hull(self, scalar: i128) -> Option<Self>

Returns the saturated interval hull of self * scalar. Read more
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fn saturating_minkowski_div_scalar_hull(self, scalar: i128) -> Option<Self>

Returns the saturated interval hull of self / scalar. Read more
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impl COSaturatingMinkowskiLinear for I128CO

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fn saturating_minkowski_add(self, other: Self) -> Option<Self>

Returns the saturated Minkowski sum self + other. Read more
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fn saturating_minkowski_sub(self, other: Self) -> Option<Self>

Returns the saturated Minkowski subtraction self - other. Read more
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fn saturating_minkowski_add_scalar(self, scalar: i128) -> Option<Self>

Returns the saturated translation self + scalar. Read more
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fn saturating_minkowski_sub_scalar(self, scalar: i128) -> Option<Self>

Returns the saturated translation self - scalar. Read more
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impl Clone for I128CO

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fn clone(&self) -> I128CO

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 Debug for I128CO

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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 Hash for I128CO

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

Feeds this value into the given Hasher. Read more
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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
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impl Ord for I128CO

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fn cmp(&self, other: &I128CO) -> 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 I128CO

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fn eq(&self, other: &I128CO) -> 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 I128CO

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fn partial_cmp(&self, other: &I128CO) -> 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 Copy for I128CO

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impl Eq for I128CO

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impl StructuralPartialEq for I128CO

Auto Trait 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, 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.
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impl<T> IntCO for T