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ExactRational

eqiora::kernel::pure_operator

Struct ExactRational 

pub struct ExactRational { /* private fields */ }
Description

Exact reduced rational used by canonical operator definitions and proofs.

It is never a replacement for executable floating-point constants. A lower layer may normalize these mathematical rationals for proof, while execution retains the original calculus-node order.

Implementations§

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impl ExactRational

Signature links:§ExactRational

pub fn new( numerator: i64, denominator: i64, ) -> Result<ExactRational, PureOperatorError>

Signature links:newi64i64ResultExactRationalPureOperatorError

Construct and reduce an exact rational with a positive denominator.

§Errors

Returns an error for a zero denominator or a reduced value outside the portable representation.

pub fn from_canonical_parts( numerator: i64, denominator: u64, ) -> Result<ExactRational, PureOperatorError>

Signature links:from_canonical_partsi64u64ResultExactRationalPureOperatorError

Reconstruct one already reduced rational from canonical unsigned denominator parts.

This is the exact wire boundary for the complete portable representation; unlike Self::new, it admits denominators above i64::MAX. The input must already be reduced so decoders cannot accept two byte spellings of the same mathematical value.

§Errors

Rejects zero or non-reduced denominators.

pub const fn integer(value: i64) -> ExactRational

Signature links:integeri64ExactRational

Exact integer.

pub const fn numerator(self) -> i64

Signature links:numeratori64

Reduced numerator.

pub const fn denominator(self) -> u64

Signature links:denominatoru64

Positive reduced denominator.

pub fn as_f64(self) -> f64

Signature links:as_f64f64

Convert this exact literal for ordered executable lowering.

pub const fn is_zero(self) -> bool

Signature links:is_zerobool

Whether this value is exactly zero.

pub fn checked_neg(self) -> Result<ExactRational, PureOperatorError>

Signature links:checked_negResultExactRationalPureOperatorError

Exact checked negation.

§Errors

Returns an error if the portable representation overflows.

pub fn checked_add( self, other: ExactRational, ) -> Result<ExactRational, PureOperatorError>

Signature links:checked_addExactRationalResultExactRationalPureOperatorError

Exact checked addition.

§Errors

Returns an error if the portable representation overflows.

pub fn checked_mul( self, other: ExactRational, ) -> Result<ExactRational, PureOperatorError>

Signature links:checked_mulExactRationalResultExactRationalPureOperatorError

Exact checked multiplication.

§Errors

Returns an error if the portable representation overflows.

Trait Implementations§

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impl Clone for ExactRational

Signature links:§CloneExactRational
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fn clone(&self) -> ExactRational

Signature links:§cloneExactRational
Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§clone_from
Performs copy-assignment from source. Read more
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impl Debug for ExactRational

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

Signature links:§fmtFormatterResult()Error
Formats the value using the given formatter. Read more
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impl Hash for ExactRational

Signature links:§HashExactRational
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fn hash<__H>(&self, state: &mut __H)
where __H: Hasher,

Signature links:§hash&mut __HHasher
Feeds this value into the given Hasher. Read more
1.3.0 · Source§

fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Signature links:Source§hash_slice&mut HHasherSized
Feeds a slice of this type into the given Hasher. Read more
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impl Ord for ExactRational

Signature links:§OrdExactRational
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fn cmp(&self, other: &ExactRational) -> Ordering

Signature links:§cmpExactRationalOrdering
This method returns an Ordering between self and other. Read more
1.21.0 (const: unstable) · Source§

fn max(self, other: Self) -> Self
where Self: Sized,

Signature links:unstableSource§maxSized
Compares and returns the maximum of two values. Read more
1.21.0 (const: unstable) · Source§

fn min(self, other: Self) -> Self
where Self: Sized,

Signature links:unstableSource§minSized
Compares and returns the minimum of two values. Read more
1.50.0 (const: unstable) · Source§

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Signature links:unstableSource§clampSized
Restrict a value to a certain interval. Read more
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impl PartialEq for ExactRational

Signature links:§PartialEqExactRational
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fn eq(&self, other: &ExactRational) -> bool

Signature links:§eqExactRationalbool
Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§ne&Rhsbool
Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd for ExactRational

Signature links:§PartialOrdExactRational
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fn partial_cmp(&self, other: &ExactRational) -> Option<Ordering>

Signature links:§partial_cmpExactRationalOptionOrdering
This method returns an ordering between self and other values if one exists. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§lt&Rhsbool
Tests less than (for self and other) and is used by the < operator. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§le&Rhsbool
Tests less than or equal to (for self and other) and is used by the <= operator. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§gt&Rhsbool
Tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§ge&Rhsbool
Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl Copy for ExactRational

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impl Eq for ExactRational

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impl StructuralPartialEq for ExactRational

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