pub struct StdArithmetic;
Expand description

Arithmetic on a number type that implements all necessary operations natively.

As an example, this type implements Arithmetic for f32, f64, and the floating-point complex numbers from the num-complex crate.

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impl<T> Arithmetic<T> for StdArithmeticwhere T: Clone + NumOps + PartialEq + Neg<Output = T> + Pow<T, Output = T>,

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fn add(&self, x: T, y: T) -> Result<T, ArithmeticError>

Adds two values. Read more
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fn sub(&self, x: T, y: T) -> Result<T, ArithmeticError>

Subtracts two values. Read more
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fn mul(&self, x: T, y: T) -> Result<T, ArithmeticError>

Multiplies two values. Read more
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fn div(&self, x: T, y: T) -> Result<T, ArithmeticError>

Divides two values. Read more
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fn pow(&self, x: T, y: T) -> Result<T, ArithmeticError>

Raises x to the power of y. Read more
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fn neg(&self, x: T) -> Result<T, ArithmeticError>

Negates a value. Read more
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fn eq(&self, x: &T, y: &T) -> bool

Checks if two values are equal. Note that equality can be a non-trivial operation; e.g., different numbers may be equal as per modular arithmetic.
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impl Clone for StdArithmetic

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fn clone(&self) -> StdArithmetic

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 Debug for StdArithmetic

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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 Default for StdArithmetic

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fn default() -> StdArithmetic

Returns the “default value” for a type. Read more
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impl<T> OrdArithmetic<T> for StdArithmeticwhere Self: Arithmetic<T>, T: PartialOrd,

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fn partial_cmp(&self, x: &T, y: &T) -> Option<Ordering>

Compares two values. Returns None if the numbers are not comparable, or the comparison result otherwise.
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impl Copy for StdArithmetic

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for Twhere 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, A> ArithmeticExt<T> for Awhere A: Arithmetic<T>,

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fn without_comparisons(self) -> FullArithmetic<T, Self>

Combines this arithmetic with a comparison function that assumes any two values are incomparable.
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fn with_natural_comparison(self) -> FullArithmetic<T, Self>where T: PartialOrd,

Combines this arithmetic with a comparison function specified by the PartialOrd implementation for T.
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fn with_comparison( self, comparison: fn(_: &T, _: &T) -> Option<Ordering> ) -> FullArithmetic<T, Self>

Combines this arithmetic with the specified comparison function.
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impl<T> Borrow<T> for Twhere 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 Twhere 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> 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 Twhere 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 Twhere 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 Twhere 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 Twhere 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.