StandardNormal

Struct StandardNormal 

Source
pub struct StandardNormal;
Expand description

The standard Normal distribution N(0, 1).

This is equivalent to Normal::new(0.0, 1.0), but faster.

See Normal for the general Normal distribution.

§Plot

The following diagram shows the standard Normal distribution.

Standard Normal distribution

§Example

use rand::prelude::*;
use rand_distr::StandardNormal;

let val: f64 = rand::rng().sample(StandardNormal);
println!("{}", val);

§Notes

Implemented via the ZIGNOR variant1 of the Ziggurat method.


  1. Jurgen A. Doornik (2005). An Improved Ziggurat Method to Generate Normal Random Samples. Nuffield College, Oxford 

Trait Implementations§

Source§

impl Clone for StandardNormal

Source§

fn clone(&self) -> StandardNormal

Returns a duplicate of the value. Read more
1.0.0 · Source§

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

Performs copy-assignment from source. Read more
Source§

impl Debug for StandardNormal

Source§

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

Formats the value using the given formatter. Read more
Source§

impl Distribution<f32> for StandardNormal

Source§

fn sample<R>(&self, rng: &mut R) -> f32
where R: Rng + ?Sized,

Generate a random value of T, using rng as the source of randomness.
Source§

fn sample_iter<R>(self, rng: R) -> Iter<Self, R, T>
where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
Source§

fn map<F, S>(self, func: F) -> Map<Self, F, T, S>
where F: Fn(T) -> S, Self: Sized,

Map sampled values to type S Read more
Source§

impl Distribution<f64> for StandardNormal

Source§

fn sample<R>(&self, rng: &mut R) -> f64
where R: Rng + ?Sized,

Generate a random value of T, using rng as the source of randomness.
Source§

fn sample_iter<R>(self, rng: R) -> Iter<Self, R, T>
where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
Source§

fn map<F, S>(self, func: F) -> Map<Self, F, T, S>
where F: Fn(T) -> S, Self: Sized,

Map sampled values to type S Read more
Source§

impl Copy for StandardNormal

Auto Trait Implementations§

Blanket Implementations§

Source§

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

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

impl<T> Az for T

Source§

fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
Source§

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

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

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

Source§

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

Mutably borrows from an owned value. Read more
Source§

impl<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

Source§

fn cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<T> CheckedAs for T

Source§

fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

Source§

fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
Source§

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

Source§

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
Source§

impl<D, T> DistributionExt<T> for D
where D: Distribution<T>,

Source§

fn random_array<R: Rng, Dim: Dimension>( &self, rng: &mut Random<R>, shape: Dim, ) -> Array<T, Dim>
where Self: Copy,

Create a random array with values from this distribution
Source§

fn sample_vec<R: Rng>(&self, rng: &mut Random<R>, size: usize) -> Vec<T>
where Self: Copy,

Create a random vector with values from this distribution
Source§

impl<T> Downcast<T> for T

Source§

fn downcast(&self) -> &T

Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

impl<T> Instrument for T

Source§

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

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

fn in_current_span(self) -> Instrumented<Self>

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

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

Source§

fn into(self) -> U

Calls U::from(self).

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

Source§

impl<T> IntoEither for T

Source§

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
Source§

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
Source§

impl<T> OverflowingAs for T

Source§

fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

Source§

fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
Source§

impl<T> Pointable for T

Source§

const ALIGN: usize

The alignment of pointer.
Source§

type Init = T

The type for initializers.
Source§

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
Source§

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
Source§

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
Source§

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
Source§

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

Source§

fn and<P, B, E>(self, other: P) -> And<T, P>
where T: Policy<B, E>, P: Policy<B, E>,

Create a new Policy that returns Action::Follow only if self and other return Action::Follow. Read more
Source§

fn or<P, B, E>(self, other: P) -> Or<T, P>
where T: Policy<B, E>, P: Policy<B, E>,

Create a new Policy that returns Action::Follow if either self or other returns Action::Follow. Read more
Source§

impl<T> Same for T

Source§

type Output = T

Should always be Self
Source§

impl<T> SaturatingAs for T

Source§

fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

Source§

fn saturating_cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

Source§

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
Source§

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
Source§

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
Source§

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
Source§

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

Source§

type Owned = T

The resulting type after obtaining ownership.
Source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
Source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
Source§

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

Source§

type Error = Infallible

The type returned in the event of a conversion error.
Source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
Source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

Source§

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

The type returned in the event of a conversion error.
Source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
Source§

impl<T> UnwrappedAs for T

Source§

fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

Source§

fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<T> Upcast<T> for T

Source§

fn upcast(&self) -> Option<&T>

Source§

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

Source§

fn vzip(self) -> V

Source§

impl<T> WithSubscriber for T

Source§

fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more
Source§

fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a WithDispatch wrapper. Read more
Source§

impl<T> WrappingAs for T

Source§

fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

Source§

fn wrapping_cast_from(src: Src) -> Dst

Casts the value.
Source§

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

Source§

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

Source§

impl<T> WasmNotSendSync for T

Source§

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