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Hyperreal

oxilean_std::nonstandard_analysis::types

Struct Hyperreal 

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pub struct Hyperreal {
    pub standard: f64,
    pub infinitesimal_part: f64,
    pub infinite_part: f64,
}
Expand description

A hyperreal number with a standard part, an infinitesimal part, and an infinite part.

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§standard: f64§infinitesimal_part: f64§infinite_part: f64

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impl Hyperreal

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pub fn new(standard: f64, infinitesimal_part: f64, infinite_part: f64) -> Self

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pub fn standard_part(&self) -> Option<f64>

The standard part (shadow) of a finite hyperreal.

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pub fn is_finite(&self) -> bool

A hyperreal is finite if its infinite part is 0.

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pub fn is_infinitesimal(&self) -> bool

A hyperreal is infinitesimal if both standard and infinite parts are 0.

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

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fn type_id(&self) -> TypeId

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

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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
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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.