Struct Interval 

pub struct Interval { /* private fields */ }

A closed real interval [lo, hi] with Float endpoints.

Implementations

impl Interval

pub fn new(lo: Float, hi: Float, precision: u64) -> Interval

Builds [lo, hi] at the given working precision. The endpoints are used as given (assumed already correctly rounded outward).

pub fn point(x: Float) -> Interval

Builds the degenerate interval [x, x].

pub fn from_rational(r: &Rational, precision: u64) -> Interval

Builds the tightest interval enclosing a rational at precision bits.

pub fn lower(&self) -> &Float

Returns the lower endpoint.

pub fn upper(&self) -> &Float

Returns the upper endpoint.

pub fn precision(&self) -> u64

Returns the working precision.

pub fn contains_zero(&self) -> bool

Returns true if the interval contains zero.

pub fn width(&self) -> Float

Returns an upper bound on the width hi − lo.

pub fn midpoint(&self) -> Float

Returns the midpoint (rounded to nearest).

pub fn add(&self, rhs: &Interval) -> Interval

Returns self + rhs.

pub fn sub(&self, rhs: &Interval) -> Interval

Returns self - rhs.

pub fn neg(&self) -> Interval

Returns -self.

pub fn mul(&self, rhs: &Interval) -> Interval

Returns self · rhs.

pub fn div(&self, rhs: &Interval) -> Interval

Returns self / rhs. Panics if rhs contains zero.

pub fn sqrt(&self) -> Interval

Returns √self (requires lo >= 0).

pub fn intersect(&self, rhs: &Interval) -> Option<Interval>

Returns the intersection, or None if the intervals are disjoint.

pub fn hull(&self, rhs: &Interval) -> Interval

Returns the convex hull (smallest interval containing both).

Trait Implementations

impl Add for Interval

type Output = Interval

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<&Interval> for &Interval

type Output = Interval

The resulting type after applying the + operator.

fn add(self, rhs: &Interval) -> Interval

Performs the + operation.

impl AddAssign for Interval

fn add_assign(&mut self, rhs: Interval)

Performs the += operation.

impl Clone for Interval

fn clone(&self) -> Interval

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Interval

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

Formats the value using the given formatter.

impl Display for Interval

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

Formats the value using the given formatter.

impl Div for Interval

type Output = Interval

The resulting type after applying the / operator.

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

Performs the / operation.

impl Div<&Interval> for &Interval

type Output = Interval

The resulting type after applying the / operator.

fn div(self, rhs: &Interval) -> Interval

Performs the / operation.

impl DivAssign for Interval

fn div_assign(&mut self, rhs: Interval)

Performs the /= operation.

impl Mul for Interval

type Output = Interval

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<&Interval> for &Interval

type Output = Interval

The resulting type after applying the * operator.

fn mul(self, rhs: &Interval) -> Interval

Performs the * operation.

impl MulAssign for Interval

fn mul_assign(&mut self, rhs: Interval)

Performs the *= operation.

impl Neg for Interval

type Output = Interval

The resulting type after applying the - operator.

fn neg(self) -> Interval

Performs the unary - operation.

impl Sub for Interval

type Output = Interval

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<&Interval> for &Interval

type Output = Interval

The resulting type after applying the - operator.

fn sub(self, rhs: &Interval) -> Interval

Performs the - operation.

impl SubAssign for Interval

fn sub_assign(&mut self, rhs: Interval)

Performs the -= operation.