Struct Probability

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pub struct Probability<T: Num>(pub T);
Expand description

An independent probability.

This represents some probability of some abstract, isolated event occuring. Note that the even have to be isolated (independent of any other event) for the operations to be correct. As such, you shouldn’t do calculations with conditional events. Stronger methods needs to be used for this.

This newtype simply wraps some numeral type and provides it with operations:

  • & for independent and.
  • | for independent or.
  • ^ for independent mutual exclusivity.
  • ! for inverse probability.

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§0: T

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impl<T: Num + PartialOrd> Probability<T>

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pub fn certain() -> Probability<T>

The probability representing a “almost certain” condition.

“Almost certain” (a.c.) should not be equated with “certain”, because something can be practically certain, but not impossible to fail. For example, pick a random natural number from an uniform distribution. Not picking a specific number would be almost certain, but it is not impossible, because an argument for impossibility could be applied to any number.

For practical purposes, though, there is no difference between certain and almost certain.

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pub fn never() -> Probability<T>

The inverse of an “almost certain” condition (almost never).

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pub fn half(self) -> Probability<T>

Half the probability.

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pub fn fifty() -> Probability<T>

A fifty-fifty probability (0.5).

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pub fn disjointed_or(self, rhs: Probability<T>) -> Probability<T>

‘or’ for mutually exclusive events

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impl<T: Num + PartialOrd> BitAnd for Probability<T>

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type Output = Probability<T>

The resulting type after applying the & operator.
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fn bitand(self, rhs: Probability<T>) -> Probability<T>

Performs the & operation. Read more
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impl<T: Num + Clone + PartialOrd> BitOr for Probability<T>

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type Output = Probability<T>

The resulting type after applying the | operator.
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fn bitor(self, rhs: Probability<T>) -> Probability<T>

Performs the | operation. Read more
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impl<T: Num + Clone + PartialOrd> BitXor for Probability<T>

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type Output = Probability<T>

The resulting type after applying the ^ operator.
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fn bitxor(self, rhs: Probability<T>) -> Probability<T>

Performs the ^ operation. Read more
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impl<T: Clone + Num> Clone for Probability<T>

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

Returns a copy 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<T: Debug + Num> Debug for Probability<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<T: Num + PartialOrd> Not for Probability<T>

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type Output = Probability<T>

The resulting type after applying the ! operator.
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fn not(self) -> Probability<T>

Performs the unary ! operation. Read more
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impl<T: Ord + Num> Ord for Probability<T>

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fn cmp(&self, other: &Probability<T>) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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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<T: PartialEq + Num> PartialEq for Probability<T>

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fn eq(&self, other: &Probability<T>) -> bool

Tests for self and other values to be equal, and is used by ==.
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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<T: PartialOrd + Num> PartialOrd for Probability<T>

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

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
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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<T: Copy + Num> Copy for Probability<T>

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impl<T: Eq + Num> Eq for Probability<T>

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impl<T: Num> StructuralPartialEq for Probability<T>

Auto Trait Implementations§

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

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

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

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

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

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impl<T> UnwindSafe for Probability<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.