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Quantile

Struct Quantile 

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pub struct Quantile(pub Distribution);
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Distribution::quantile as a function object, through [quantiles]. The normal and log-normal distributions’ slice forms take erfcinv(2p) from Erfcinv’s slice form, whose loops don’t branch on each item’s region. Logarithms use Log1p and Ln slice forms; tangent and root use the shared [Tan] and [Root] formulas.

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§0: Distribution

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impl Clone for Quantile

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fn clone(&self) -> Self

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Copy for Quantile

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impl Debug for Quantile

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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 Formula<1> for Quantile

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const FAILS_NAN: bool = true

Whether a NaN result from arguments that aren’t NaN is a Domain error, which the default emit_valid checks (nan_valid). A constant, so a checked loop over items reads it at compile time and never calls a method for it.
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fn supports(&self, dtype: DType) -> bool

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fn emit_valid<F: Float, O: Ops<F> + ?Sized>( &self, _: Variant, o: &O, [p]: [O::V; 1], _: O::V, ) -> Option<(Kind, O::B)>

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fn real<F: Native>( &self, _: &NativeOps<{ crate::FUSED }>, [x]: [F; 1], ) -> Option<F>

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fn native_slices(&self) -> Option<NativeSlices<Self, 1>>

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const BOOLEAN: bool = false

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const HAS_EXACT: bool = false

Whether exact computes this formula on rationals.
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const INTEGER_FORMULA: bool = false

Whether integer runs this formula’s emit on integers, so that range arithmetic over emit_valid bounds an integer kernel’s failures (may_raise). A row with a native_integer body supports integers and leaves this false.
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const MAP_ONLY: bool = false

Whether kernels of this formula only map. Modified writes, folds, scans and walks of adjacent items build no code for it: each refuses it at compile time, as it refuses a formula of another arity. A derivative’s slope (derivative::Slope) only maps.
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fn result_dtype(&self, input: DType) -> DType

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fn computing_dtype(&self, input: DType) -> Option<DType>

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fn character_rule(&self) -> Option<Rule>

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fn ordered_kinds(&self, [x, y]: [i32; 2]) -> Option<i32>

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fn character_policy(&self, types: [DType; 2]) -> Result<Option<Policy>, Error>

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fn exact(&self, _args: [&BigRational; N]) -> Result<Option<BigRational>, Error>

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fn range(&self, _args: [Range; N]) -> Range

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fn domain(&self, _dtype: DType, _args: [Range; N]) -> Option<[Range; N]>

A box at the computing dtype containing args on which graph-numeric results do not raise a data error.
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fn identity(&self) -> [Option<f64>; N]

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fn fold(&self) -> Option<Reduce>

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fn inverse_fold(&self) -> Option<Reduce>

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fn truth_table(&self) -> Option<u8>

The function’s results on Booleans, as bits: bit 2x+y for two arguments, bit x for one. A Boolean kernel computes by it (operation::map_truth).
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fn truth(&self) -> Option<Reduce>

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fn same(&self, _arg: Range) -> Option<Range>

Refines the real result interval when both operands denote the same value.
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fn reads(&self) -> Reads

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fn emit<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> Option<O::V>

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fn emit_test<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> Option<O::B>

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fn emit_against<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _c: F, _v: O::V, _left: bool, ) -> Option<O::B>

This comparison of v with the one number c through o, where that has a cheaper recipe than comparing item by item, as a held constant has. left says whether v is the left argument. None for other formulas.
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fn bands(&self) -> Option<(Tolerance, Band, Band)>

This comparison’s tolerance, and the bands that an item on the left and on the right of one number must lie in (tolerant::Banding), through which it compares many items with one number (tolerant::against). None for other formulas.
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fn emit_repair<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> Option<O::B>

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fn repair_routine(&self) -> Option<Repair>

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fn integer<I: Overflowing>(&self, _ops: &IntegerOps<I>, _x: [I; N]) -> Option<I>

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fn complex<F: Native>( &self, _ops: &NativeOps<{ crate::FUSED }>, _x: [Complex<F>; N], ) -> Option<Complex<F>>

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const REAL_COMPLEX: bool = false

Whether real_complex gives this formula’s complex results from real arguments.
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fn real_complex<F: Native>( &self, _ops: &NativeOps<{ crate::FUSED }>, _x: [F; N], ) -> Option<Complex<F>>

The complex result from real arguments, where that costs less than from the arguments as complex numbers. None sends the item to complex.
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fn emit_partials<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], _result: O::V, _needed: [bool; N], ) -> [Option<O::V>; N]

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impl PartialEq for Quantile

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

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

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

Inequality operator !=. Read more
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impl Results<f16, 1> for Quantile

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const TOTAL: bool

Whether no result fails: checked always gives Some, and many and many_into always give true. A total float function gives NaN from arguments that aren’t NaN only where NaN is its value, as Subtract gives for ∞ - ∞ and Sin for ±∞.
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type Out = f16

The type of each result.
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impl Results<f32, 1> for Quantile

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const TOTAL: bool

Whether no result fails: checked always gives Some, and many and many_into always give true. A total float function gives NaN from arguments that aren’t NaN only where NaN is its value, as Subtract gives for ∞ - ∞ and Sin for ±∞.
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type Out = f32

The type of each result.
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impl Results<f64, 1> for Quantile

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const TOTAL: bool

Whether no result fails: checked always gives Some, and many and many_into always give true. A total float function gives NaN from arguments that aren’t NaN only where NaN is its value, as Subtract gives for ∞ - ∞ and Sin for ±∞.
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type Out = f64

The type of each result.
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impl StructuralPartialEq for Quantile

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impl Unary<f16> for Quantile

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fn one(&self, p: f16) -> f16

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fn judged(&self, p: f16) -> (f16, bool)

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fn slice( &self, x: [Arg<'_, f16>; 1], n: usize, out: &mut [MaybeUninit<f16>], ) -> bool

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fn checked(&self, x: T) -> Option<Self::Out>

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fn many(&self, x: Arg<'_, T>, n: usize, out: &mut Vec<Self::Out>) -> bool
where T: Copy + Sync,

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fn many_into( &self, x: Arg<'_, T>, n: usize, out: &mut Slots<'_, Self::Out>, ) -> bool
where T: Copy,

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impl Unary<f32> for Quantile

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fn one(&self, p: f32) -> f32

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fn judged(&self, p: f32) -> (f32, bool)

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fn slice( &self, [p]: [Arg<'_, f32>; 1], n: usize, out: &mut [MaybeUninit<f32>], ) -> bool

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fn checked(&self, x: T) -> Option<Self::Out>

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fn many(&self, x: Arg<'_, T>, n: usize, out: &mut Vec<Self::Out>) -> bool
where T: Copy + Sync,

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fn many_into( &self, x: Arg<'_, T>, n: usize, out: &mut Slots<'_, Self::Out>, ) -> bool
where T: Copy,

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impl Unary<f64> for Quantile

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fn one(&self, p: f64) -> f64

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fn judged(&self, p: f64) -> (f64, bool)

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fn slice( &self, [p]: [Arg<'_, f64>; 1], n: usize, out: &mut [MaybeUninit<f64>], ) -> bool

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fn checked(&self, x: T) -> Option<Self::Out>

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fn many(&self, x: Arg<'_, T>, n: usize, out: &mut Vec<Self::Out>) -> bool
where T: Copy + Sync,

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fn many_into( &self, x: Arg<'_, T>, n: usize, out: &mut Slots<'_, Self::Out>, ) -> bool
where T: Copy,

Auto Trait Implementations§

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<ST, DT> CastableFrom<ST, Initialized, Initialized> for DT
where ST: ?Sized, DT: ?Sized,

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impl<ST, DT> CastableFrom<ST, Uninit, Uninit> for DT
where ST: ?Sized, DT: ?Sized,

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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> IntoEither for T

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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
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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
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Read<Exclusive, BecauseExclusive> for T
where T: ?Sized,

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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 = !

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

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.