Struct DoubleF64 

pub struct DoubleF64 {
    pub hi: f64,
    pub lo: f64,
}

A double-precision floating-point number: hi + lo with |lo| ≤ 0.5·ulp(hi).

Provides ~31 decimal digits (~84 binary bits) of precision.

Fields

hi: f64

High-order component (the “main” value).

lo: f64

Low-order component (the error term).

Implementations

impl DoubleF64

pub const ZERO: DoubleF64

The zero value.

pub const ONE: DoubleF64

The unit value.

pub fn new(hi: f64, lo: f64) -> DoubleF64

Create a new DoubleF64 from high and low components. The caller must ensure |lo| ≤ 0.5·ulp(hi) for correct results.

pub fn from_f64(x: f64) -> DoubleF64

Create from a single f64.

pub fn to_f64(self) -> f64

Extract the high-order component as f64.

pub fn quick_two_sum(a: f64, b: f64) -> DoubleF64

Create from two f64 values, normalizing via TwoSum.

pub fn two_sum(a: f64, b: f64) -> DoubleF64

Dekker’s TwoSum: error-free sum with rounding error captured.

pub fn abs(self) -> DoubleF64

Absolute value.

pub fn is_nan(self) -> bool

Check if the value is NaN.

pub fn is_infinite(self) -> bool

Check if the value is infinite.

pub fn is_finite(self) -> bool

Check if the value is finite.

pub fn add(self, other: DoubleF64) -> DoubleF64

Add two DoubleF64 values.

pub fn sub(self, other: DoubleF64) -> DoubleF64

Subtract two DoubleF64 values.

pub fn mul(self, other: DoubleF64) -> DoubleF64

Multiply two DoubleF64 values.

pub fn div(self, other: DoubleF64) -> DoubleF64

Divide two DoubleF64 values.

pub fn powi(self, n: i64) -> DoubleF64

Integer power via binary exponentiation.

pub fn sqrt(self) -> DoubleF64

Square root via Newton iteration.

pub fn dabs(self) -> DoubleF64

Absolute value.

pub fn exp(self) -> DoubleF64

Exponential function via Taylor series with argument reduction.

pub fn ln(self) -> DoubleF64

Natural logarithm via Newton iteration on exp.

pub fn sin(self) -> DoubleF64

Sine via Taylor series with argument reduction.

pub fn cos(self) -> DoubleF64

Cosine via sin(π/2 - x).

pub fn tan(self) -> DoubleF64

Tangent = sin / cos.

Trait Implementations

impl Add for DoubleF64

type Output = DoubleF64

The resulting type after applying the + operator.

fn add(self, other: DoubleF64) -> DoubleF64

Performs the + operation.

impl AddAssign for DoubleF64

fn add_assign(&mut self, other: DoubleF64)

Performs the += operation.

impl Clone for DoubleF64

fn clone(&self) -> DoubleF64

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for DoubleF64

impl Debug for DoubleF64

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

Formats the value using the given formatter.

impl Display for DoubleF64

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

Formats the value using the given formatter.

impl Div for DoubleF64

type Output = DoubleF64

The resulting type after applying the / operator.

fn div(self, other: DoubleF64) -> DoubleF64

Performs the / operation.

impl DivAssign for DoubleF64

fn div_assign(&mut self, other: DoubleF64)

Performs the /= operation.

impl Eq for DoubleF64

impl EvaluationDomain for DoubleF64

fn from_f64(value: f64) -> DoubleF64

Create a value from an f64.

fn zero() -> DoubleF64

The additive identity (0).

fn one() -> DoubleF64

The multiplicative identity (1).

fn add_ref(&self, other: &DoubleF64) -> DoubleF64

self + other

fn sub_ref(&self, other: &DoubleF64) -> DoubleF64

self - other

fn mul_ref(&self, other: &DoubleF64) -> DoubleF64

self * other

fn div_ref(&self, other: &DoubleF64) -> Result<DoubleF64, EvaluationError>

self / other, or EvaluationError::DivisionByZero if other is zero.

fn neg_ref(&self) -> DoubleF64

-self

fn powi_ref(&self, exp: i64) -> DoubleF64

self^exp for integer exponents. Returns 1 when exp == 0.

fn resolve_builtin( name: &str, arg: &DoubleF64, ) -> Result<DoubleF64, EvaluationError>

Resolve a built-in mathematical function.

impl From<f64> for DoubleF64

fn from(x: f64) -> DoubleF64

Converts to this type from the input type.

impl Mul for DoubleF64

type Output = DoubleF64

The resulting type after applying the * operator.

fn mul(self, other: DoubleF64) -> DoubleF64

Performs the * operation.

impl MulAssign for DoubleF64

fn mul_assign(&mut self, other: DoubleF64)

Performs the *= operation.

impl Neg for DoubleF64

type Output = DoubleF64

The resulting type after applying the - operator.

fn neg(self) -> DoubleF64

Performs the unary - operation.

impl PartialEq for DoubleF64

fn eq(&self, other: &DoubleF64) -> bool

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for DoubleF64

fn partial_cmp(&self, other: &DoubleF64) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl PowfExtension for DoubleF64

fn powf_ref(&self, exp: &DoubleF64) -> Result<DoubleF64, EvaluationError>

self^exp for floating-point exponents.

impl StructuralPartialEq for DoubleF64

impl Sub for DoubleF64

type Output = DoubleF64

The resulting type after applying the - operator.

fn sub(self, other: DoubleF64) -> DoubleF64

Performs the - operation.

impl SubAssign for DoubleF64

fn sub_assign(&mut self, other: DoubleF64)

Performs the -= operation.

impl Zero for DoubleF64

fn zero() -> DoubleF64

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.