Struct inari::DecInterval

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#[repr(C)]
pub struct DecInterval { /* private fields */ }

Expand description

The decorated version of Interval.

Notes on equality comparison

By definition, a NaI is not equal to itself:

use inari::*;
assert_ne!(DecInterval::NAI, DecInterval::NAI);

For this reason, the traits Eq and Hash are not implemented for the type.

Implementations

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impl DecInterval

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pub fn new(x: Interval) -> Self

Creates a DecInterval from the given interval and the decoration below:

Interval	Decoration
Nonempty and bounded	`Decoration::Com`
Unbounded	`Decoration::Dac`
Empty	`Decoration::Trv`

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pub fn set_dec(x: Interval, d: Decoration) -> Self

Creates a DecInterval from the given interval and decoration. If the decoration is invalid for the interval, the first one in the list is used:

Interval	Valid decorations
Nonempty and bounded	`Decoration::Com`, `Decoration::Dac`, `Decoration::Def`, `Decoration::Trv`, `Decoration::Ill`
Unbounded	`Decoration::Dac`, `Decoration::Def`, `Decoration::Trv`, `Decoration::Ill`
Empty	`Decoration::Trv`, `Decoration::Ill`

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pub fn interval(self) -> Option<Interval>

Returns the interval part of self if it is not NaI; otherwise, None.

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pub fn decoration(self) -> Decoration

Returns the decoration part self.

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impl DecInterval

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pub fn abs(self) -> Self

The decorated version of Interval::abs.

A NaI is returned if self is NaI.

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pub fn max(self, rhs: Self) -> Self

The decorated version of Interval::max.

A NaI is returned if self or rhs is NaI.

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pub fn min(self, rhs: Self) -> Self

The decorated version of Interval::min.

A NaI is returned if self or rhs is NaI.

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impl DecInterval

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pub fn mul_add(self, rhs: Self, addend: Self) -> Self

The decorated version of Interval::mul_add.

A NaI is returned if self, rhs or addend is NaI.

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pub fn recip(self) -> Self

The decorated version of Interval::recip.

A NaI is returned if self is NaI.

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pub fn sqr(self) -> Self

The decorated version of Interval::sqr.

A NaI is returned if self is NaI.

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pub fn sqrt(self) -> Self

The decorated version of Interval::sqrt.

A NaI is returned if self is NaI.

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impl DecInterval

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pub fn contains(self, rhs: f64) -> bool

Applies Interval::contains to the interval part of self and rhs and returns the result.

false is returned if self is NaI.

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pub fn disjoint(self, rhs: Self) -> bool

Applies Interval::disjoint to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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pub fn interior(self, rhs: Self) -> bool

Applies Interval::interior to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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pub fn is_common_interval(self) -> bool

Applies Interval::is_common_interval to the interval part of self and returns the result.

false is returned if self is NaI.

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pub fn is_empty(self) -> bool

Applies Interval::is_empty to the interval part of self and returns the result.

false is returned if self is NaI.

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pub fn is_entire(self) -> bool

Applies Interval::is_entire to the interval part of self and returns the result.

false is returned if self is NaI.

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pub fn is_nai(self) -> bool

Returns true if self is NaI.

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pub fn is_singleton(self) -> bool

Applies Interval::is_singleton to the interval part of self and returns the result.

false is returned if self is NaI.

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pub fn less(self, rhs: Self) -> bool

Applies Interval::less to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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pub fn precedes(self, rhs: Self) -> bool

Applies Interval::precedes to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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pub fn strict_less(self, rhs: Self) -> bool

Applies Interval::strict_less to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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pub fn strict_precedes(self, rhs: Self) -> bool

Applies Interval::strict_precedes to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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pub fn subset(self, rhs: Self) -> bool

Applies Interval::subset to the interval parts of self and rhs and returns the result.

false is returned if self or rhs is NaI.

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impl DecInterval

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pub fn to_be_bytes(self) -> [u8 ; 17]

Returns the interchange representation of self in the big-endian byte order.

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pub fn to_le_bytes(self) -> [u8 ; 17]

Returns the interchange representation of self in the little-endian byte order.

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pub fn to_ne_bytes(self) -> [u8 ; 17]

Returns the interchange representation of self in the native byte order of the target platform.

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pub fn try_from_be_bytes(bytes: [u8 ; 17]) -> Option<Self>

Creates a DecInterval from its interchange representation in the big-endian byte order.

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pub fn try_from_le_bytes(bytes: [u8 ; 17]) -> Option<Self>

Creates a DecInterval from its interchange representation in the little-endian byte order.

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pub fn try_from_ne_bytes(bytes: [u8 ; 17]) -> Option<Self>

Creates a DecInterval from its interchange representation in the native byte order of the target platform.

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impl DecInterval

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pub const EMPTY: Self

$∅$, the empty set, decorated with Decoration::Trv.

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pub const ENTIRE: Self

$[-∞, +∞]$ decorated with Decoration::Dac.

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pub const NAI: Self

A NaI (Not an Interval).

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pub fn acos(self) -> Self

The decorated version of Interval::acos.

A NaI is returned if self is NaI.

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pub fn acosh(self) -> Self

The decorated version of Interval::acosh.

A NaI is returned if self is NaI.

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pub fn asin(self) -> Self

The decorated version of Interval::asin.

A NaI is returned if self is NaI.

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pub fn asinh(self) -> Self

The decorated version of Interval::asinh.

A NaI is returned if self is NaI.

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pub fn atan(self) -> Self

The decorated version of Interval::atan.

A NaI is returned if self is NaI.

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pub fn atan2(self, rhs: Self) -> Self

The decorated version of Interval::atan2.

A NaI is returned if self or rhs is NaI.

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pub fn atanh(self) -> Self

The decorated version of Interval::atanh.

A NaI is returned if self is NaI.

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pub fn cos(self) -> Self

The decorated version of Interval::cos.

A NaI is returned if self is NaI.

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pub fn cosh(self) -> Self

The decorated version of Interval::cosh.

A NaI is returned if self is NaI.

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pub fn exp(self) -> Self

The decorated version of Interval::exp.

A NaI is returned if self is NaI.

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pub fn exp10(self) -> Self

The decorated version of Interval::exp10.

A NaI is returned if self is NaI.

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pub fn exp2(self) -> Self

The decorated version of Interval::exp2.

A NaI is returned if self is NaI.

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pub fn ln(self) -> Self

The decorated version of Interval::ln.

A NaI is returned if self is NaI.

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pub fn log10(self) -> Self

The decorated version of Interval::log10.

A NaI is returned if self is NaI.

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pub fn log2(self) -> Self

The decorated version of Interval::log2.

A NaI is returned if self is NaI.

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pub fn pow(self, rhs: Self) -> Self

The decorated version of Interval::pow.

A NaI is returned if self or rhs is NaI.

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pub fn powi(self, rhs: i32) -> Self

The decorated version of Interval::powi.

A NaI is returned if self is NaI.

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pub fn sin(self) -> Self

The decorated version of Interval::sin.

A NaI is returned if self is NaI.

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pub fn sinh(self) -> Self

The decorated version of Interval::sinh.

A NaI is returned if self is NaI.

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pub fn tan(self) -> Self

The decorated version of Interval::tan.

A NaI is returned if self is NaI.

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pub fn tanh(self) -> Self

The decorated version of Interval::tanh.

A NaI is returned if self is NaI.

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impl DecInterval

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pub fn ceil(self) -> Self

The decorated version of Interval::ceil.

A NaI is returned if self is NaI.

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pub fn floor(self) -> Self

The decorated version of Interval::floor.

A NaI is returned if self is NaI.

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pub fn round(self) -> Self

The decorated version of Interval::round.

A NaI is returned if self is NaI.

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pub fn round_ties_to_even(self) -> Self

The decorated version of Interval::round_ties_to_even.

A NaI is returned if self is NaI.

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pub fn sign(self) -> Self

The decorated version of Interval::sign.

A NaI is returned if self is NaI.

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pub fn trunc(self) -> Self

The decorated version of Interval::trunc.

A NaI is returned if self is NaI.

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impl DecInterval

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pub fn inf(self) -> f64

Applies Interval::inf to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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pub fn mag(self) -> f64

Applies Interval::mag to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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pub fn mid(self) -> f64

Applies Interval::mid to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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pub fn mig(self) -> f64

Applies Interval::mig to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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pub fn rad(self) -> f64

Applies Interval::rad to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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pub fn sup(self) -> f64

Applies Interval::sup to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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pub fn wid(self) -> f64

Applies Interval::wid to the interval part of self and returns the result.

A NaN is returned if self is NaI.

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impl DecInterval

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pub fn overlap(self, rhs: Self) -> Option<Overlap>

Applies Interval::overlap to the interval parts of self and rhs and returns the result.

None is returned if self or rhs is NaI.

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impl DecInterval

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pub fn convex_hull(self, rhs: Self) -> Self

Applies Interval::convex_hull to the interval parts of self and rhs and returns the result decorated with Decoration::Trv.

A NaI is returned if self or rhs is NaI.

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pub fn intersection(self, rhs: Self) -> Self

Applies Interval::intersection to the interval parts of self and rhs and returns the result decorated with Decoration::Trv.

A NaI is returned if self or rhs is NaI.

Trait Implementations

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impl Add<&'_ DecInterval> for DecInterval

type Output = <DecInterval as Add<DecInterval>>::Output

The resulting type after applying the + operator.

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fn add(self, other: &DecInterval) -> <DecInterval as Add<DecInterval>>::Output

Performs the + operation. Read more

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impl Add<&'_ DecInterval> for &DecInterval

type Output = <DecInterval as Add<DecInterval>>::Output

The resulting type after applying the + operator.

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fn add(self, other: &DecInterval) -> <DecInterval as Add<DecInterval>>::Output

Performs the + operation. Read more

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impl Add<DecInterval> for DecInterval

type Output = Self

The resulting type after applying the + operator.

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fn add(self, rhs: Self) -> Self

Performs the + operation. Read more

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impl<'a> Add<DecInterval> for &'a DecInterval

type Output = <DecInterval as Add<DecInterval>>::Output

The resulting type after applying the + operator.

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fn add(self, other: DecInterval) -> <DecInterval as Add<DecInterval>>::Output

Performs the + operation. Read more

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impl AddAssign<&'_ DecInterval> for DecInterval

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fn add_assign(&mut self, other: &DecInterval)

Performs the += operation. Read more

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impl AddAssign<DecInterval> for DecInterval

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more

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impl Clone for DecInterval

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fn clone(&self) -> DecInterval

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 DecInterval

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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 Display for DecInterval

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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 Div<&'_ DecInterval> for DecInterval

type Output = <DecInterval as Div<DecInterval>>::Output

The resulting type after applying the / operator.

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fn div(self, other: &DecInterval) -> <DecInterval as Div<DecInterval>>::Output

Performs the / operation. Read more

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impl Div<&'_ DecInterval> for &DecInterval

type Output = <DecInterval as Div<DecInterval>>::Output

The resulting type after applying the / operator.

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fn div(self, other: &DecInterval) -> <DecInterval as Div<DecInterval>>::Output

Performs the / operation. Read more

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impl Div<DecInterval> for DecInterval

type Output = Self

The resulting type after applying the / operator.

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fn div(self, rhs: Self) -> Self

Performs the / operation. Read more

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impl<'a> Div<DecInterval> for &'a DecInterval

type Output = <DecInterval as Div<DecInterval>>::Output

The resulting type after applying the / operator.

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fn div(self, other: DecInterval) -> <DecInterval as Div<DecInterval>>::Output

Performs the / operation. Read more

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impl DivAssign<&'_ DecInterval> for DecInterval

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fn div_assign(&mut self, other: &DecInterval)

Performs the /= operation. Read more

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impl DivAssign<DecInterval> for DecInterval

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fn div_assign(&mut self, rhs: Self)

Performs the /= operation. Read more

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impl FromStr for DecInterval

type Err = IntervalError

The associated error which can be returned from parsing.

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fn from_str(s: &str) -> Result<Self>

Parses a string s to return a value of this type. Read more

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impl LowerExp for DecInterval

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

Formats the value using the given formatter.

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impl LowerHex for DecInterval

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

Formats the value using the given formatter.

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impl Mul<&'_ DecInterval> for DecInterval

type Output = <DecInterval as Mul<DecInterval>>::Output

The resulting type after applying the * operator.

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fn mul(self, other: &DecInterval) -> <DecInterval as Mul<DecInterval>>::Output

Performs the * operation. Read more

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impl Mul<&'_ DecInterval> for &DecInterval

type Output = <DecInterval as Mul<DecInterval>>::Output

The resulting type after applying the * operator.

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fn mul(self, other: &DecInterval) -> <DecInterval as Mul<DecInterval>>::Output

Performs the * operation. Read more

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impl Mul<DecInterval> for DecInterval

type Output = Self

The resulting type after applying the * operator.

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fn mul(self, rhs: Self) -> Self

Performs the * operation. Read more

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impl<'a> Mul<DecInterval> for &'a DecInterval

type Output = <DecInterval as Mul<DecInterval>>::Output

The resulting type after applying the * operator.

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fn mul(self, other: DecInterval) -> <DecInterval as Mul<DecInterval>>::Output

Performs the * operation. Read more

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impl MulAssign<&'_ DecInterval> for DecInterval

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fn mul_assign(&mut self, other: &DecInterval)

Performs the *= operation. Read more

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impl MulAssign<DecInterval> for DecInterval

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more

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impl Neg for DecInterval

type Output = Self

The resulting type after applying the - operator.

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fn neg(self) -> Self

Performs the unary - operation. Read more

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impl Neg for &DecInterval

type Output = <DecInterval as Neg>::Output

The resulting type after applying the - operator.

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fn neg(self) -> <DecInterval as Neg>::Output

Performs the unary - operation. Read more

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impl PartialEq<DecInterval> for DecInterval

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fn eq(&self, rhs: &Self) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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

This method tests for !=.

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impl Sub<&'_ DecInterval> for DecInterval

type Output = <DecInterval as Sub<DecInterval>>::Output

The resulting type after applying the - operator.

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fn sub(self, other: &DecInterval) -> <DecInterval as Sub<DecInterval>>::Output

Performs the - operation. Read more

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impl Sub<&'_ DecInterval> for &DecInterval

type Output = <DecInterval as Sub<DecInterval>>::Output

The resulting type after applying the - operator.

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fn sub(self, other: &DecInterval) -> <DecInterval as Sub<DecInterval>>::Output

Performs the - operation. Read more

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impl Sub<DecInterval> for DecInterval

type Output = Self

The resulting type after applying the - operator.

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fn sub(self, rhs: Self) -> Self

Performs the - operation. Read more

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impl<'a> Sub<DecInterval> for &'a DecInterval

type Output = <DecInterval as Sub<DecInterval>>::Output

The resulting type after applying the - operator.

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fn sub(self, other: DecInterval) -> <DecInterval as Sub<DecInterval>>::Output

Performs the - operation. Read more

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impl SubAssign<&'_ DecInterval> for DecInterval

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fn sub_assign(&mut self, other: &DecInterval)

Performs the -= operation. Read more

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impl SubAssign<DecInterval> for DecInterval

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more

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impl TryFrom<(f64, f64 )> for DecInterval

type Error = IntervalError

The type returned in the event of a conversion error.

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fn try_from(x: (f64, f64 )) -> Result<Self>

Performs the conversion.

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impl Copy for DecInterval

Auto Trait Implementations

impl RefUnwindSafe for DecInterval

impl Send for DecInterval

impl Sync for DecInterval

impl Unpin for DecInterval

impl UnwindSafe for DecInterval

Blanket Implementations

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

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pub fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Az for T

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

Casts the value.

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

const: unstable · source

pub 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,

const: unstable · source

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

Mutably borrows from an owned value. Read more

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impl<T> CheckedAs for T

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

Casts the value.

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impl<T> From<T> for T

const: unstable · source

pub fn from(t: T) -> T

Performs the conversion.

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

const: unstable · source

pub fn into(self) -> U

Performs the conversion.

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impl<T> OverflowingAs for T

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

Casts the value.

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impl<T> SaturatingAs for T

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

Casts the value.

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

type Owned = T

The resulting type after obtaining ownership.

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pub fn to_owned(&self) -> T

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

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

🔬 This is a nightly-only experimental API. (toowned_clone_into)

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

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impl<T> ToString for T where
T: Display + ?Sized,

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pub default fn to_string(&self) -> String

Converts the given value to a String. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

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

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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impl<T> UnwrappedAs for T

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

Casts the value.

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impl<T> WrappingAs for T

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

Casts the value.

Struct inari::DecInterval

Implementations

impl DecInterval

pub fn new(x: Interval) -> Self

pub fn set_dec(x: Interval, d: Decoration) -> Self

pub fn interval(self) -> Option<Interval>

pub fn decoration(self) -> Decoration

impl DecInterval

pub fn abs(self) -> Self

pub fn max(self, rhs: Self) -> Self

pub fn min(self, rhs: Self) -> Self

impl DecInterval

pub fn mul_add(self, rhs: Self, addend: Self) -> Self

pub fn recip(self) -> Self

pub fn sqr(self) -> Self

pub fn sqrt(self) -> Self

impl DecInterval

pub fn contains(self, rhs: f64) -> bool

pub fn disjoint(self, rhs: Self) -> bool

pub fn interior(self, rhs: Self) -> bool

pub fn is_common_interval(self) -> bool

pub fn is_empty(self) -> bool

pub fn is_entire(self) -> bool

pub fn is_nai(self) -> bool

pub fn is_singleton(self) -> bool

pub fn less(self, rhs: Self) -> bool

pub fn precedes(self, rhs: Self) -> bool

pub fn strict_less(self, rhs: Self) -> bool

pub fn strict_precedes(self, rhs: Self) -> bool

pub fn subset(self, rhs: Self) -> bool

impl DecInterval

pub fn to_be_bytes(self) -> [u8; 17]

pub fn to_le_bytes(self) -> [u8; 17]

pub fn to_ne_bytes(self) -> [u8; 17]

pub fn try_from_be_bytes(bytes: [u8; 17]) -> Option<Self>

pub fn try_from_le_bytes(bytes: [u8; 17]) -> Option<Self>

pub fn try_from_ne_bytes(bytes: [u8; 17]) -> Option<Self>

impl DecInterval

pub const EMPTY: Self

pub const ENTIRE: Self

pub const NAI: Self

pub const E: Self

pub const FRAC_1_PI: Self

pub const FRAC_1_SQRT_2: Self

pub const FRAC_2_PI: Self

pub const FRAC_2_SQRT_PI: Self

pub const FRAC_PI_2: Self

pub const FRAC_PI_3: Self

pub const FRAC_PI_4: Self

pub const FRAC_PI_6: Self

pub const FRAC_PI_8: Self

pub const LN_10: Self

pub const LN_2: Self

pub const LOG10_2: Self

pub const LOG10_E: Self

pub const LOG2_10: Self

pub const LOG2_E: Self

pub const PI: Self

pub const SQRT_2: Self

pub const TAU: Self

impl DecInterval

pub fn acos(self) -> Self

pub fn acosh(self) -> Self

pub fn asin(self) -> Self

pub fn asinh(self) -> Self

pub fn atan(self) -> Self

pub fn atan2(self, rhs: Self) -> Self

pub fn atanh(self) -> Self

pub fn cos(self) -> Self

pub fn cosh(self) -> Self

pub fn exp(self) -> Self

pub fn exp10(self) -> Self

pub fn exp2(self) -> Self

pub fn ln(self) -> Self

pub fn log10(self) -> Self

pub fn log2(self) -> Self

pub fn pow(self, rhs: Self) -> Self

pub fn powi(self, rhs: i32) -> Self

pub fn sin(self) -> Self

pub fn sinh(self) -> Self

pub fn to_be_bytes(self) -> [u8 ; 17]

pub fn to_le_bytes(self) -> [u8 ; 17]

pub fn to_ne_bytes(self) -> [u8 ; 17]

pub fn try_from_be_bytes(bytes: [u8 ; 17]) -> Option<Self>

pub fn try_from_le_bytes(bytes: [u8 ; 17]) -> Option<Self>

pub fn try_from_ne_bytes(bytes: [u8 ; 17]) -> Option<Self>