Struct twofloat::TwoFloat

pub struct TwoFloat { /* private fields */ }

Represents a two-word floating point type, represented as the sum of two non-overlapping f64 values.

Implementations

impl TwoFloat

pub fn new_add(a: f64, b: f64) -> Self

Creates a new TwoFloat by adding two f64 values using Algorithm 2 from Joldes et al. (2017).

pub fn new_sub(a: f64, b: f64) -> Self

Creates a new TwoFloat by subtracting two f64 values using Algorithm 2 from Joldes et al. (2017) modified for negative right-hand side.

pub fn new_mul(a: f64, b: f64) -> Self

Creates a new TwoFloat by multiplying two f64 values using Algorithm 3 from Joldes et al. (2017).

pub fn new_div(a: f64, b: f64) -> Self

Creates a new TwoFloat by dividing two f64 values using Algorithm 15 from Joldes et al. (2017) modified for the left-hand-side having a zero value in the low word.

impl TwoFloat

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

Calculates Euclidean division, the matching method for rem_euclid.

Examples

let a = TwoFloat::from(9.0);
let b = TwoFloat::from(5.0);

assert_eq!(a.div_euclid(b), TwoFloat::from(1.0));
assert_eq!((-a).div_euclid(b), TwoFloat::from(-2.0));
assert_eq!(a.div_euclid(-b), TwoFloat::from(-1.0));
assert_eq!((-a).div_euclid(-b), TwoFloat::from(2.0));

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

Calculates the least nonnegative remainder of self (mod rhs).

The return value r usually satisfies 0.0 <= r < rhs.abs(), although the errors in numerical computation may result in violations of this constraint.

Examples

let a = TwoFloat::from(9.0);
let b = TwoFloat::from(5.0);

assert_eq!(a.rem_euclid(b), TwoFloat::from(4.0));
assert_eq!((-a).rem_euclid(b), TwoFloat::from(1.0));
assert_eq!(a.rem_euclid(-b), TwoFloat::from(4.0));
assert_eq!((-a).rem_euclid(-b), TwoFloat::from(1.0));

impl TwoFloat

pub const MIN: Self = _

Smallest finite TwoFloat value.

pub const MIN_POSITIVE: Self = _

Smallest positive normal TwoFloat value.

pub const MAX: Self = _

Largest finite TwoFloat value.

pub const NAN: Self = _

Represents an error value equivalent to f64::NAN.

pub const EPSILON: Self = _

Represents the difference between 1.0 and the next representable normal value.

pub const INFINITY: Self = _

A positive infinite value

pub const NEG_INFINITY: Self = _

A negative infinite value

pub const fn from_f64(value: f64) -> Self

Creates a new TwoFloat from a constant f64 value.

Examples

const value: TwoFloat = TwoFloat::from_f64(1.0);
assert_eq!(value.hi(), 1.0);

pub fn hi(&self) -> f64

Returns the high word of self.

Examples

let value = TwoFloat::new_add(1.0, -1.0e-200);
assert_eq!(value.hi(), 1.0);

pub fn lo(&self) -> f64

Returns the low word of self.

Examples

let value = TwoFloat::new_add(1.0, -1.0e-200);
assert_eq!(value.lo(), -1.0e-200);

pub fn is_valid(&self) -> bool

Returns true if self is a valid value, where both components are finite (not infinity or NAN).

Examples

let a = TwoFloat::new_add(1.0, 1.0e-300).is_valid();
let b = TwoFloat::new_mul(1.0e300, 1.0e300).is_valid();

assert!(a);
assert!(!b);

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

Returns the minimum of two numbers. If one of the arguments is NAN, the other is returned.

Examples

let a = TwoFloat::new_add(35.2, 1e-84);
let b = TwoFloat::new_add(35.2, -1e-93);

assert_eq!(a.min(b), b);

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

Returns the maximum of two numbers. If one of the arguments is NAN, the other is returned.

Examples

let a = TwoFloat::new_add(35.2, 1e-84);
let b = TwoFloat::new_add(35.2, -1e-93);

assert_eq!(a.max(b), a);

pub fn to_radians(self) -> Self

Converts degrees to radians.

Examples

let a = TwoFloat::from(90.0);
let b = a.to_radians();

assert!((b - twofloat::consts::FRAC_PI_2).abs() < 1e-16);

pub fn to_degrees(self) -> Self

Converts radians to degrees.

Examples

let a = twofloat::consts::PI;
let b = a.to_degrees();

assert!((b - 180.0).abs() < 1e-16);

pub fn recip(self) -> Self

Takes the reciprocal (inverse) of the number, 1/x.

Examples

let a = TwoFloat::new_add(67.2, 5.7e-53);
let b = a.recip();
let difference = b.recip() - a;

assert!(difference.abs() < 1e-16);

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

Raises the number to an integer power. Returns a NAN value for 0^0.

Examples

let a = TwoFloat::from(2.0).powi(3);
let b = TwoFloat::from(0.0).powi(0);

assert!(a - TwoFloat::from(8.0) <= 1e-16);
assert!(!b.is_valid());

impl TwoFloat

pub fn fract(self) -> Self

Returns the fractional part of the number.

Examples

let a = TwoFloat::new_add(1.0, 1e-200).fract();
let b = TwoFloat::new_add(-1.0, 1e-200).fract();

assert_eq!(a, TwoFloat::from(1e-200));
assert_eq!(b, TwoFloat::new_add(-1.0, 1e-200));

pub fn trunc(self) -> Self

Returns the integer part of the number.

Examples

let a = TwoFloat::new_add(1.0, 1e-200).trunc();
let b = TwoFloat::new_add(1.0, -1e-200).trunc();

assert_eq!(a, TwoFloat::from(1.0));
assert_eq!(b, TwoFloat::from(0.0));

pub fn ceil(self) -> Self

Returns the smallest integer greater than or equal to the number.

Examples

let a = TwoFloat::new_add(1.0, 1e-200).ceil();
let b = TwoFloat::new_add(1.0, -1e-200).ceil();
let c = TwoFloat::new_add(-1.0, 1e-200).ceil();

assert_eq!(a, TwoFloat::from(2.0));
assert_eq!(b, TwoFloat::from(1.0));
assert_eq!(c, TwoFloat::from(0.0));

pub fn floor(self) -> Self

Returns the smallest integer less than or equal to the number.

Examples

let a = TwoFloat::new_add(1.0, 1e-200).floor();
let b = TwoFloat::new_add(1.0, -1e-200).floor();
let c = TwoFloat::new_add(-1.0, 1e-200).floor();

assert_eq!(a, TwoFloat::from(1.0));
assert_eq!(b, TwoFloat::from(0.0));
assert_eq!(c, TwoFloat::from(-1.0));

pub fn round(self) -> Self

Returns the nearest integer to the value. Round half-way cases away from 0.0.

Examples

let a = TwoFloat::new_add(1.0, 1e-200).round();
let b = TwoFloat::new_add(1.0, -1e-200).round();
let c = TwoFloat::from(-0.5).round();

assert_eq!(a, TwoFloat::from(1.0));
assert_eq!(b, TwoFloat::from(1.0));
assert_eq!(c, TwoFloat::from(-1.0));

impl TwoFloat

pub fn abs(&self) -> Self

Returns the absolute value root of self.

Examples

let a = TwoFloat::new_add(1.0, 1.0e-300).abs();
let b = TwoFloat::new_add(-1.0, 1.0e-300).abs();

assert_eq!(a, TwoFloat::new_add(1.0, 1.0e-300));
assert_eq!(b, TwoFloat::new_add(1.0, -1.0e-300));

pub fn is_sign_positive(&self) -> bool

Returns true if self has a positive sign, including +0.0.

Examples

let a = TwoFloat::new_add(0.0, 0.0).is_sign_positive();
let b = TwoFloat::new_add(1.0, 1.0e-300).is_sign_positive();
let c = TwoFloat::new_add(-1.0, 1.0e-300).is_sign_positive();

assert!(a);
assert!(b);
assert!(!c);

pub fn is_sign_negative(&self) -> bool

Returns true if self has a negative sign, including -0.0.

Examples

let a = TwoFloat::new_add(-1.0, 1.0e-300).is_sign_negative();
let b = TwoFloat::new_add(0.0, 0.0).is_sign_negative();
let c = TwoFloat::new_add(1.0, 1.0e-300).is_sign_negative();

assert!(a);
assert!(!b);
assert!(!c);

pub fn copysign(&self, sign: &Self) -> Self

Returns a number composed of the magnitude of self and the sign of sign.

Equal to self if the sign of self and sign are the same, otherwise equal to -self.

Examples

let a = TwoFloat::new_add(-1.0, 1.0e-200);
let b = TwoFloat::new_add(1.0, 0.3);
let c = a.copysign(&b);

assert_eq!(c, -a);

pub fn signum(&self) -> Self

Returns a number that represents the sign of the value.

• 1.0 if the number is positive or +0.0
• -1.0 if the number is negative or -0.0
• Invalid value otherwise

Examples

use twofloat::TwoFloat;

let a = TwoFloat::from(3.5); let b = TwoFloat::from(-0.0);

assert_eq!(a.signum(), 1.0); assert_eq!(b.signum(), -1.0);

impl TwoFloat

pub fn exp(self) -> Self

Returns e^(self), (the exponential function).

Examples

let a = TwoFloat::from(2.0);
let b = a.exp();
let e2 = twofloat::consts::E * twofloat::consts::E;

assert!((b - e2).abs() / e2 < 1e-16);

pub fn exp_m1(self) -> Self

Returns e^(self) - 1 in a way that provides additional accuracy when the value is close to zero.

Examples

let a = TwoFloat::from(0.05);
let b = a.exp_m1();
let c = 0.05f64.exp_m1();

assert!((b - c).abs() < 1e-16);

pub fn exp2(self) -> Self

Returns 2^(self).

Examples

let a = TwoFloat::from(0.5).exp2();
let b = TwoFloat::from(2).sqrt();

assert!((a - b).abs() < 1e-15);

pub fn ln(self) -> Self

Returns the natural logarithm of the value.

Uses Newton–Raphson iteration which depends on the exp function, so may not be fully accurate to the full precision of a TwoFloat.

Example

let a = twofloat::consts::E.ln();
assert!((a - 1.0).abs() < 1e-11);

pub fn ln_1p(self) -> Self

Returns the natural logarithm of 1 + self.

Uses Newton–Raphson iteration which depends on the expm1 function, so may not be fully accurate to the full precision of a TwoFloat.

Example

let a = TwoFloat::from(0.1);
let b = a.ln_1p();
let c = 0.1f64.ln_1p();
assert!((b - c).abs() < 1e-10);

pub fn log(self, base: Self) -> Self

Returns the logarithm of the number with respect to an arbitrary base.

This is a convenience method that computes self.ln() / base.ln(), no additional accuracy is provided.

Examples

let a = TwoFloat::from(81.0); let b = TwoFloat::from(3.0); let c = TwoFloat::log(a, b);

assert!((c - 4.0).abs() < 1e-12);

pub fn log2(self) -> Self

Returns the base 2 logarithm of the number.

Uses Newton–Raphson iteration which depends on the exp2 function, so may not be fully accurate to the full precision of a TwoFloat.

Examples

let a = TwoFloat::from(64.0).log2();

assert!((a - 6.0).abs() < 1e-12, "{}", a);

pub fn log10(self) -> Self

Returns the base 10 logarithm of the number.

This is a convenience method that computes self.ln() / LN_10, no additional accuracy is provided.

Examples

let a = TwoFloat::from(100.0).log10();

assert!((a - 2.0).abs() < 1e-12);

impl TwoFloat

pub fn cosh(self) -> Self

Hyperbolic cosine function.

This is a convenience method that computes the value by calling the exponential function.

Examples

let a = TwoFloat::from(2.0);
let b = a.cosh();
let c = 2.0f64.cosh();

assert!((b - c).abs() < 1e-10);

pub fn sinh(self) -> Self

Hyperbolic sine function.

This is a convenience method that computes the value by calling the exponential function.

Examples

let a = TwoFloat::from(2.0);
let b = a.sinh();
let c = 2.0f64.sinh();

assert!((b - c).abs() < 1e-10);

pub fn tanh(self) -> Self

Hyperbolic tangent function.

This is a convenience method that computes the value by calling the exponential function.

Examples

let a = TwoFloat::from(2.0);
let b = a.tanh();
let c = 2.0f64.tanh();

assert!((b - c).abs() < 1e-10);

pub fn acosh(self) -> Self

Inverse hyperbolic cosine function.

This is a convenience method that computes the value by calling the sqrt and ln functions.

Examples

let a = TwoFloat::from(2.0);
let b = a.acosh();
let c = 2.0f64.acosh();

assert!((b - c).abs() < 1e-10);

pub fn asinh(self) -> Self

Inverse hyperbolic sine function.

This is a convenience method that computes the value by calling the sqrt and ln functions.

Examples

let a = TwoFloat::from(2.0);
let b = a.asinh();
let c = 2.0f64.asinh();

assert!((b - c).abs() < 1e-10);

pub fn atanh(self) -> Self

Inverse hyperbolic tangent function.

This is a convenience method that computes the value by calling the ln function.

Examples

let a = TwoFloat::from(0.5);
let b = a.atanh();
let c = 0.5f64.atanh();

assert!((b - c).abs() < 1e-10);

impl TwoFloat

pub fn sqrt(self) -> Self

Returns the square root of the number, using equation 4 from Karp & Markstein (1997).

Examples

let a = TwoFloat::from(2.0);
let b = a.sqrt();

assert!(b * b - a < 1e-16);

pub fn cbrt(self) -> Self

Returns the cube root of the number, using Newton-Raphson iteration.

Examples

let a = TwoFloat::new_add(1.4e53, 0.21515);
let b = a.cbrt();

assert!(b.powi(3) - a < 1e-16);

pub fn hypot(self, other: Self) -> Self

Calculates the length of the hypotenuse of a right-angle triangle given legs of length self and other.

Examples

let a = TwoFloat::from(3.0);
let b = TwoFloat::from(4.0);
let c = TwoFloat::hypot(a, b);

assert!((c - 5.0).abs() < 1e-10);

pub fn powf(self, y: Self) -> Self

Returns the value raised to the power y.

This method is quite inaccurate, where possible powi, sqrt or cbrt should be preferred.

Examples

let a = TwoFloat::from(-5.0);
let b = TwoFloat::from(3.0);
let c = a.powf(b);

assert!((c + 125.0).abs() < 1e-9, "{}", c);

impl TwoFloat

pub fn sin(self) -> Self

Computes the sine of the value (in radians).

Examples

let a = TwoFloat::from(2.5);
let b = a.sin();
let c = 2.5f64.sin();

assert!((b - c).abs() < 1e-10);

pub fn cos(self) -> Self

Computes the cosine of the value (in radians)

Examples

let a = TwoFloat::from(2.5);
let b = a.cos();
let c = 2.5f64.cos();

assert!((b - c).abs() < 1e-10);

pub fn sin_cos(self) -> (Self, Self)

Simultaneously computes the sine and cosine of the value. Returns a tuple with the sine as the first element and the cosine as the second element.

Examples

let a = TwoFloat::from(2.5);
let (s, c) = a.sin_cos();

assert!((s - 2.5f64.sin()).abs() < 1e-10);
assert!((c - 2.5f64.cos()).abs() < 1e-10);

pub fn tan(self) -> Self

Computes the tangent of the value (in radians).

Examples

let a = TwoFloat::from(2.5);
let b = a.tan();
let c = 2.5f64.tan();

assert!((b - c).abs() < 1e-10);

pub fn asin(self) -> Self

Computes the arcsine of the value. Return value is in radians in the range [-π/2, π/2] or an invalid value if the input value is outside the range [-1, 1].

Examples

let a = TwoFloat::from(0.7);
let b = a.asin();
let c = 0.7f64.asin();

assert!((b - c).abs() < 1e-10);

pub fn acos(self) -> Self

Computes the arccosine of the value. Return value is in radians in the range [0, π] or an invalid value if the input value is outside the range [-1, 1].

Examples

let a = TwoFloat::from(-0.8);
let b = a.acos();
let c = (-0.8f64).acos();

assert!((b - c).abs() < 1e-10);

pub fn atan(self) -> Self

Computes the arctangent of the value. Return value is in radians in the range [-π/2, π/2].

Examples

let a = TwoFloat::from(3.5);
let b = a.atan();
let c = 3.5f64.atan();

assert!((b - c).abs() < 1e-10);

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

Computes the four quadrant arctangent of self (y) and other (x) in radians.

Examples

let y = TwoFloat::from(-1.0);
let x = TwoFloat::from(-1.0);
let theta = TwoFloat::atan2(y, x);

assert!((theta + 3.0 * twofloat::consts::FRAC_PI_4).abs() < 1e-10);

Trait Implementations

impl<'a, 'b> Add<&'b TwoFloat> for &'a TwoFloat

fn add(self, rhs: &'b TwoFloat) -> Self::Output

Implements addition of two TwoFloat values using Joldes et al. (2017) Algorithm 6.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'a, 'b> Add<&'b TwoFloat> for &'a f64

fn add(self, rhs: &'b TwoFloat) -> Self::Output

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'b> Add<&'b TwoFloat> for TwoFloat

fn add(self, rhs: &'b TwoFloat) -> Self::Output

Implements addition of two TwoFloat values using Joldes et al. (2017) Algorithm 6.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'b> Add<&'b TwoFloat> for f64

fn add(self, rhs: &'b TwoFloat) -> Self::Output

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'a, 'b> Add<&'b f64> for &'a TwoFloat

fn add(self, rhs: &'b f64) -> Self::Output

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'b> Add<&'b f64> for TwoFloat

fn add(self, rhs: &'b f64) -> Self::Output

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

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

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

Implements addition of two TwoFloat values using Joldes et al. (2017) Algorithm 6.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'a> Add<TwoFloat> for &'a f64

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

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl Add<TwoFloat> for TwoFloat

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

Implements addition of two TwoFloat values using Joldes et al. (2017) Algorithm 6.

type Output = TwoFloat

The resulting type after applying the + operator.

impl Add<TwoFloat> for f64

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

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'a> Add<f64> for &'a TwoFloat

fn add(self, rhs: f64) -> Self::Output

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl Add<f64> for TwoFloat

fn add(self, rhs: f64) -> Self::Output

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

type Output = TwoFloat

The resulting type after applying the + operator.

impl<'a> AddAssign<&'a TwoFloat> for TwoFloat

fn add_assign(&mut self, rhs: &'a TwoFloat)

Implements addition of two TwoFloat values using Joldes et al. (2017) Algorithm 6.

impl<'a> AddAssign<&'a f64> for TwoFloat

fn add_assign(&mut self, rhs: &'a f64)

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

impl<'a> AddAssign<TwoFloat> for TwoFloat

fn add_assign(&mut self, rhs: TwoFloat)

Implements addition of two TwoFloat values using Joldes et al. (2017) Algorithm 6.

impl<'a> AddAssign<f64> for TwoFloat

fn add_assign(&mut self, rhs: f64)

Implements addition of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4.

impl Bounded for TwoFloat

fn min_value() -> TwoFloat

Returns the smallest finite number this type can represent

fn max_value() -> TwoFloat

Returns the largest finite number this type can represent

impl Clone for TwoFloat

fn clone(&self) -> TwoFloat

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for TwoFloat

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

Formats the value using the given formatter.

impl Default for TwoFloat

fn default() -> TwoFloat

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for TwoFloat

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for TwoFloat

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

Formats the value using the given formatter.

impl<'a, 'b> Div<&'b TwoFloat> for &'a TwoFloat

fn div(self, rhs: &'b TwoFloat) -> Self::Output

Implements division of two TwoFloat values using Joldes et al. (2017) Algorithm 18.

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'a, 'b> Div<&'b TwoFloat> for &'a f64

fn div(self, rhs: &'b TwoFloat) -> Self::Output

Implements division of f64 and TwoFloat using Joldes et al. (2017) Algorithm 18 modified for the left-hand side having a zero value in the low word.

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'b> Div<&'b TwoFloat> for TwoFloat

fn div(self, rhs: &'b TwoFloat) -> Self::Output

Implements division of two TwoFloat values using Joldes et al. (2017) Algorithm 18.

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'b> Div<&'b TwoFloat> for f64

fn div(self, rhs: &'b TwoFloat) -> Self::Output

Implements division of f64 and TwoFloat using Joldes et al. (2017) Algorithm 18 modified for the left-hand side having a zero value in the low word.

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'a, 'b> Div<&'b f64> for &'a TwoFloat

fn div(self, rhs: &'b f64) -> Self::Output

Implements division of TwoFloat and f64 using Joldes et al. (2017) Algorithm 15

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'b> Div<&'b f64> for TwoFloat

fn div(self, rhs: &'b f64) -> Self::Output

Implements division of TwoFloat and f64 using Joldes et al. (2017) Algorithm 15

type Output = TwoFloat

The resulting type after applying the / operator.

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

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

Implements division of two TwoFloat values using Joldes et al. (2017) Algorithm 18.

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'a> Div<TwoFloat> for &'a f64

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

Implements division of f64 and TwoFloat using Joldes et al. (2017) Algorithm 18 modified for the left-hand side having a zero value in the low word.

type Output = TwoFloat

The resulting type after applying the / operator.

impl Div<TwoFloat> for TwoFloat

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

Implements division of two TwoFloat values using Joldes et al. (2017) Algorithm 18.

type Output = TwoFloat

The resulting type after applying the / operator.

impl Div<TwoFloat> for f64

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

Implements division of f64 and TwoFloat using Joldes et al. (2017) Algorithm 18 modified for the left-hand side having a zero value in the low word.

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'a> Div<f64> for &'a TwoFloat

fn div(self, rhs: f64) -> Self::Output

Implements division of TwoFloat and f64 using Joldes et al. (2017) Algorithm 15

type Output = TwoFloat

The resulting type after applying the / operator.

impl Div<f64> for TwoFloat

fn div(self, rhs: f64) -> Self::Output

Implements division of TwoFloat and f64 using Joldes et al. (2017) Algorithm 15

type Output = TwoFloat

The resulting type after applying the / operator.

impl<'a> DivAssign<&'a TwoFloat> for TwoFloat

fn div_assign(&mut self, rhs: &'a TwoFloat)

Implements division of two TwoFloat values using Joldes et al. (2017) Algorithm 18.

impl<'a> DivAssign<&'a f64> for TwoFloat

fn div_assign(&mut self, rhs: &'a f64)

Implements division of TwoFloat and f64 using Joldes et al. (2017) Algorithm 15

impl<'a> DivAssign<TwoFloat> for TwoFloat

fn div_assign(&mut self, rhs: TwoFloat)

Implements division of two TwoFloat values using Joldes et al. (2017) Algorithm 18.

impl<'a> DivAssign<f64> for TwoFloat

fn div_assign(&mut self, rhs: f64)

Implements division of TwoFloat and f64 using Joldes et al. (2017) Algorithm 15

impl Float for TwoFloat

fn infinity() -> Self

Returns the infinite value.

fn neg_infinity() -> Self

Returns the negative infinite value.

fn nan() -> Self

Returns the NaN value.

fn neg_zero() -> Self

Returns -0.0.

fn min_value() -> Self

Returns the smallest finite value that this type can represent.

fn min_positive_value() -> Self

Returns the smallest positive, normalized value that this type can represent.

fn epsilon() -> Self

Returns epsilon, a small positive value.

fn max_value() -> Self

Returns the largest finite value that this type can represent.

fn classify(self) -> FpCategory

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead.

fn to_degrees(self) -> Self

Converts radians to degrees.

fn to_radians(self) -> Self

Converts degrees to radians.

fn integer_decode(self) -> (u64, i16, i8)

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by sign * mantissa * 2 ^ exponent.

fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise.

fn is_infinite(self) -> bool

Returns true if this value is positive infinity or negative infinity and false otherwise.

fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN.

fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, subnormal, or NaN.

fn floor(self) -> Self

Returns the largest integer less than or equal to a number.

fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number.

fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0.

fn trunc(self) -> Self

Return the integer part of a number.

fn fract(self) -> Self

Returns the fractional part of a number.

fn abs(self) -> Self

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan().

fn signum(self) -> Self

Returns a number that represents the sign of self.

fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and since Rust 1.20 also Float::nan().

fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and since Rust 1.20 also -Float::nan().

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

Returns the minimum of the two numbers.

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

Returns the maximum of the two numbers.

fn recip(self) -> Self

Take the reciprocal (inverse) of a number, 1/x.

fn powi(self, exp: i32) -> Self

Raise a number to an integer power.

fn mul_add(self, a: Self, b: Self) -> Self

Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add.

fn powf(self, n: Self) -> Self

Raise a number to a floating point power.

fn sqrt(self) -> Self

Take the square root of a number.

fn exp(self) -> Self

Returns e^(self), (the exponential function).

fn exp2(self) -> Self

Returns 2^(self).

fn ln(self) -> Self

Returns the natural logarithm of the number.

fn log(self, base: Self) -> Self

Returns the logarithm of the number with respect to an arbitrary base.

fn log2(self) -> Self

Returns the base 2 logarithm of the number.

fn log10(self) -> Self

Returns the base 10 logarithm of the number.

fn abs_sub(self, other: Self) -> Self

The positive difference of two numbers.

fn cbrt(self) -> Self

Take the cubic root of a number.

fn hypot(self, other: Self) -> Self

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y.

fn sin(self) -> Self

Computes the sine of a number (in radians).

fn cos(self) -> Self

Computes the cosine of a number (in radians).

fn tan(self) -> Self

Computes the tangent of a number (in radians).

fn asin(self) -> Self

Computes the arcsine of a number. Return value is in radians in the range [-pi/2, pi/2] or NaN if the number is outside the range [-1, 1].

fn acos(self) -> Self

Computes the arccosine of a number. Return value is in radians in the range [0, pi] or NaN if the number is outside the range [-1, 1].

fn atan(self) -> Self

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];

fn atan2(self, other: Self) -> Self

Computes the four quadrant arctangent of self (y) and other (x).

fn sin_cos(self) -> (Self, Self)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)).

fn exp_m1(self) -> Self

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero.

fn ln_1p(self) -> Self

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately.

fn sinh(self) -> Self

Hyperbolic sine function.

fn cosh(self) -> Self

Hyperbolic cosine function.

fn tanh(self) -> Self

Hyperbolic tangent function.

fn asinh(self) -> Self

Inverse hyperbolic sine function.

fn acosh(self) -> Self

Inverse hyperbolic cosine function.

fn atanh(self) -> Self

Inverse hyperbolic tangent function.

fn copysign(self, sign: Self) -> Self

Returns a number composed of the magnitude of self and the sign of sign.

impl FloatConst for TwoFloat

fn E() -> Self

Return Euler’s number.

fn FRAC_1_PI() -> Self

Return 1.0 / π.

fn FRAC_1_SQRT_2() -> Self

Return 1.0 / sqrt(2.0).

fn FRAC_2_PI() -> Self

Return 2.0 / π.

fn FRAC_2_SQRT_PI() -> Self

Return 2.0 / sqrt(π).

fn FRAC_PI_2() -> Self

Return π / 2.0.

fn FRAC_PI_3() -> Self

Return π / 3.0.

fn FRAC_PI_4() -> Self

Return π / 4.0.

fn FRAC_PI_6() -> Self

Return π / 6.0.

fn FRAC_PI_8() -> Self

Return π / 8.0.

fn LN_10() -> Self

Return ln(10.0).

fn LN_2() -> Self

Return ln(2.0).

fn LOG10_E() -> Self

Return log10(e).

fn LOG2_E() -> Self

Return log2(e).

fn PI() -> Self

Return Archimedes’ constant π.

fn SQRT_2() -> Self

Return sqrt(2.0).

fn TAU() -> Self

Return the full circle constant τ.

fn LOG10_2() -> Self

Return log10(2.0).

fn LOG2_10() -> Self

Return log2(10.0).

impl FloatCore for TwoFloat

fn infinity() -> Self

Returns positive infinity.

fn neg_infinity() -> Self

Returns negative infinity.

fn nan() -> Self

Returns NaN.

fn neg_zero() -> Self

Returns -0.0.

fn min_value() -> Self

Returns the smallest finite value that this type can represent.

fn min_positive_value() -> Self

Returns the smallest positive, normalized value that this type can represent.

fn epsilon() -> Self

Returns epsilon, a small positive value.

fn max_value() -> Self

Returns the largest finite value that this type can represent.

fn classify(self) -> FpCategory

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead.

fn to_degrees(self) -> Self

Converts to degrees, assuming the number is in radians.

fn to_radians(self) -> Self

Converts to radians, assuming the number is in degrees.

fn integer_decode(self) -> (u64, i16, i8)

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by sign * mantissa * 2 ^ exponent.

fn is_nan(self) -> bool

Returns true if the number is NaN.

fn is_infinite(self) -> bool

Returns true if the number is infinite.

fn is_finite(self) -> bool

Returns true if the number is neither infinite or NaN.

fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, subnormal or NaN.

fn floor(self) -> Self

Returns the largest integer less than or equal to a number.

fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number.

fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0.

fn trunc(self) -> Self

Return the integer part of a number.

fn fract(self) -> Self

Returns the fractional part of a number.

fn abs(self) -> Self

Computes the absolute value of self. Returns FloatCore::nan() if the number is FloatCore::nan().

fn signum(self) -> Self

Returns a number that represents the sign of self.

fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0 and FloatCore::infinity(), and since Rust 1.20 also FloatCore::nan().

fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0 and FloatCore::neg_infinity(), and since Rust 1.20 also -FloatCore::nan().

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

Returns the minimum of the two numbers.

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

Returns the maximum of the two numbers.

fn recip(self) -> Self

Returns the reciprocal (multiplicative inverse) of the number.

fn powi(self, exp: i32) -> Self

Raise a number to an integer power.

impl<'a> From<&'a TwoFloat> for [f64; 2]

fn from(value: &'a TwoFloat) -> Self

Converts to this type from the input type.

impl<'a> From<&'a TwoFloat> for (f64, f64)

fn from(value: &'a TwoFloat) -> Self

Converts to this type from the input type.

impl<'a> From<&'a TwoFloat> for f32

fn from(value: &'a TwoFloat) -> Self

Converts to this type from the input type.

impl<'a> From<&'a TwoFloat> for f64

fn from(value: &'a TwoFloat) -> Self

Converts to this type from the input type.

impl From<TwoFloat> for [f64; 2]

fn from(value: TwoFloat) -> Self

Converts to this type from the input type.

impl From<TwoFloat> for (f64, f64)

fn from(value: TwoFloat) -> Self

Converts to this type from the input type.

impl From<TwoFloat> for f32

fn from(value: TwoFloat) -> Self

Converts to this type from the input type.

impl From<TwoFloat> for f64

fn from(value: TwoFloat) -> Self

Converts to this type from the input type.

impl From<f32> for TwoFloat

fn from(value: f32) -> Self

Converts to this type from the input type.

impl From<f64> for TwoFloat

fn from(value: f64) -> Self

Converts to this type from the input type.

impl From<i128> for TwoFloat

fn from(value: i128) -> Self

Converts to this type from the input type.

impl From<i16> for TwoFloat

fn from(value: i16) -> Self

Converts to this type from the input type.

impl From<i32> for TwoFloat

fn from(value: i32) -> Self

Converts to this type from the input type.

impl From<i64> for TwoFloat

fn from(value: i64) -> Self

Converts to this type from the input type.

impl From<i8> for TwoFloat

fn from(value: i8) -> Self

Converts to this type from the input type.

impl From<u128> for TwoFloat

fn from(value: u128) -> Self

Converts to this type from the input type.

impl From<u16> for TwoFloat

fn from(value: u16) -> Self

Converts to this type from the input type.

impl From<u32> for TwoFloat

fn from(value: u32) -> Self

Converts to this type from the input type.

impl From<u64> for TwoFloat

fn from(value: u64) -> Self

Converts to this type from the input type.

impl From<u8> for TwoFloat

fn from(value: u8) -> Self

Converts to this type from the input type.

impl FromPrimitive for TwoFloat

fn from_i8(n: i8) -> Option<Self>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i16(n: i16) -> Option<Self>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i32(n: i32) -> Option<Self>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i64(n: i64) -> Option<Self>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i128(n: i128) -> Option<Self>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_isize(n: isize) -> Option<Self>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u8(n: u8) -> Option<Self>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u16(n: u16) -> Option<Self>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u32(n: u32) -> Option<Self>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u64(n: u64) -> Option<Self>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u128(n: u128) -> Option<Self>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_usize(n: usize) -> Option<Self>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f32(n: f32) -> Option<Self>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f64(n: f64) -> Option<Self>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl<'a> Inv for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn inv(self) -> Self::Output

Returns the multiplicative inverse of self.

impl Inv for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn inv(self) -> Self::Output

Returns the multiplicative inverse of self.

impl LowerExp for TwoFloat

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

Formats the value using the given formatter.

impl<'a, 'b> Mul<&'b TwoFloat> for &'a TwoFloat

fn mul(self, rhs: &'b TwoFloat) -> Self::Output

Implements multiplication of two TwoFloat values using Joldes et al. (2017) Algorithm 12.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'a, 'b> Mul<&'b TwoFloat> for &'a f64

fn mul(self, rhs: &'b TwoFloat) -> Self::Output

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'b> Mul<&'b TwoFloat> for TwoFloat

fn mul(self, rhs: &'b TwoFloat) -> Self::Output

Implements multiplication of two TwoFloat values using Joldes et al. (2017) Algorithm 12.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'b> Mul<&'b TwoFloat> for f64

fn mul(self, rhs: &'b TwoFloat) -> Self::Output

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'a, 'b> Mul<&'b f64> for &'a TwoFloat

fn mul(self, rhs: &'b f64) -> Self::Output

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'b> Mul<&'b f64> for TwoFloat

fn mul(self, rhs: &'b f64) -> Self::Output

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

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

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

Implements multiplication of two TwoFloat values using Joldes et al. (2017) Algorithm 12.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'a> Mul<TwoFloat> for &'a f64

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

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl Mul<TwoFloat> for TwoFloat

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

Implements multiplication of two TwoFloat values using Joldes et al. (2017) Algorithm 12.

type Output = TwoFloat

The resulting type after applying the * operator.

impl Mul<TwoFloat> for f64

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

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'a> Mul<f64> for &'a TwoFloat

fn mul(self, rhs: f64) -> Self::Output

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl Mul<f64> for TwoFloat

fn mul(self, rhs: f64) -> Self::Output

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

type Output = TwoFloat

The resulting type after applying the * operator.

impl<'a> MulAssign<&'a TwoFloat> for TwoFloat

fn mul_assign(&mut self, rhs: &'a TwoFloat)

Implements multiplication of two TwoFloat values using Joldes et al. (2017) Algorithm 12.

impl<'a> MulAssign<&'a f64> for TwoFloat

fn mul_assign(&mut self, rhs: &'a f64)

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

impl<'a> MulAssign<TwoFloat> for TwoFloat

fn mul_assign(&mut self, rhs: TwoFloat)

Implements multiplication of two TwoFloat values using Joldes et al. (2017) Algorithm 12.

impl<'a> MulAssign<f64> for TwoFloat

fn mul_assign(&mut self, rhs: f64)

Implements multiplication of TwoFloat and f64 using Joldes et al. (2017) Algorithm 9.

impl<'a> Neg for &'a TwoFloat

type Output = TwoFloat

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for TwoFloat

type Output = TwoFloat

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Num for TwoFloat

type FromStrRadixErr = TwoFloatError

fn from_str_radix( _str: &str, _radix: u32 ) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix (typically 2..=36).

impl NumCast for TwoFloat

fn from<T: ToPrimitive>(n: T) -> Option<Self>

Creates a number from another value that can be converted into a primitive via the ToPrimitive trait. If the source value cannot be represented by the target type, then None is returned.

impl One for TwoFloat

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> boolwhere Self: PartialEq<Self>,

Returns true if self is equal to the multiplicative identity.

impl PartialEq<TwoFloat> for TwoFloat

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

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

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialEq<TwoFloat> for f64

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

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

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialEq<f64> for TwoFloat

fn eq(&self, other: &f64) -> bool

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

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd<TwoFloat> for TwoFloat

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

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

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

This method tests less than (for self and other) and is used by the < operator.

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

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

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

This method tests greater than (for self and other) and is used by the > operator.

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

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

impl PartialOrd<TwoFloat> for f64

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

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

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

This method tests less than (for self and other) and is used by the < operator.

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

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

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

This method tests greater than (for self and other) and is used by the > operator.

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

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

impl PartialOrd<f64> for TwoFloat

fn partial_cmp(&self, other: &f64) -> Option<Ordering>

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

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

This method tests less than (for self and other) and is used by the < operator.

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

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

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

This method tests greater than (for self and other) and is used by the > operator.

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

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

impl<'a, 'b> Pow<&'b TwoFloat> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b TwoFloat) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b TwoFloat> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b TwoFloat) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Pow<&'b f64> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b f64) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b f64> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b f64) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Pow<&'b i16> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b i16) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b i16> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b i16) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Pow<&'b i32> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b i32) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b i32> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b i32) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Pow<&'b i8> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b i8) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b i8> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b i8) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Pow<&'b u16> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b u16) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b u16> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b u16) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Pow<&'b u8> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b u8) -> Self::Output

Returns self to the power rhs.

impl<'b> Pow<&'b u8> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: &'b u8) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<TwoFloat> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: TwoFloat) -> Self::Output

Returns self to the power rhs.

impl Pow<TwoFloat> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: TwoFloat) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<f64> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: f64) -> Self::Output

Returns self to the power rhs.

impl Pow<f64> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: f64) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<i16> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: i16) -> Self::Output

Returns self to the power rhs.

impl Pow<i16> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: i16) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<i32> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: i32) -> Self::Output

Returns self to the power rhs.

impl Pow<i32> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: i32) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<i8> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: i8) -> Self::Output

Returns self to the power rhs.

impl Pow<i8> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: i8) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<u16> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: u16) -> Self::Output

Returns self to the power rhs.

impl Pow<u16> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: u16) -> Self::Output

Returns self to the power rhs.

impl<'a> Pow<u8> for &'a TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: u8) -> Self::Output

Returns self to the power rhs.

impl Pow<u8> for TwoFloat

type Output = TwoFloat

The result after applying the operator.

fn pow(self, rhs: u8) -> Self::Output

Returns self to the power rhs.

impl<'a, 'b> Rem<&'b TwoFloat> for &'a TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: &'b TwoFloat) -> Self::Output

Performs the % operation.

impl<'a, 'b> Rem<&'b TwoFloat> for &'a f64

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: &'b TwoFloat) -> Self::Output

Performs the % operation.

impl<'b> Rem<&'b TwoFloat> for TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: &'b TwoFloat) -> Self::Output

Performs the % operation.

impl<'b> Rem<&'b TwoFloat> for f64

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: &'b TwoFloat) -> Self::Output

Performs the % operation.

impl<'a, 'b> Rem<&'b f64> for &'a TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: &'b f64) -> Self::Output

Performs the % operation.

impl<'b> Rem<&'b f64> for TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: &'b f64) -> Self::Output

Performs the % operation.

impl<'a> Rem<TwoFloat> for &'a TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: TwoFloat) -> Self::Output

Performs the % operation.

impl<'a> Rem<TwoFloat> for &'a f64

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: TwoFloat) -> Self::Output

Performs the % operation.

impl Rem<TwoFloat> for TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: TwoFloat) -> Self::Output

Performs the % operation.

impl Rem<TwoFloat> for f64

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: TwoFloat) -> Self::Output

Performs the % operation.

impl<'a> Rem<f64> for &'a TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: f64) -> Self::Output

Performs the % operation.

impl Rem<f64> for TwoFloat

type Output = TwoFloat

The resulting type after applying the % operator.

fn rem(self, rhs: f64) -> Self::Output

Performs the % operation.

impl<'a> RemAssign<&'a TwoFloat> for TwoFloat

fn rem_assign(&mut self, rhs: &'a TwoFloat)

Performs the %= operation.

impl<'b> RemAssign<&'b f64> for TwoFloat

fn rem_assign(&mut self, rhs: &'b f64)

Performs the %= operation.

impl<'a> RemAssign<TwoFloat> for TwoFloat

fn rem_assign(&mut self, rhs: TwoFloat)

Performs the %= operation.

impl<'b> RemAssign<f64> for TwoFloat

fn rem_assign(&mut self, rhs: f64)

Performs the %= operation.

impl Serialize for TwoFloat

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Signed for TwoFloat

fn abs(&self) -> Self

Computes the absolute value.

fn abs_sub(&self, other: &Self) -> Self

The positive difference of two numbers.

fn signum(&self) -> Self

Returns the sign of the number.

fn is_positive(&self) -> bool

Returns true if the number is positive and false if the number is zero or negative.

fn is_negative(&self) -> bool

Returns true if the number is negative and false if the number is zero or positive.

impl<'a, 'b> Sub<&'b TwoFloat> for &'a TwoFloat

fn sub(self, rhs: &'b TwoFloat) -> Self::Output

Implements subtraction of two TwoFloat values using Joldes et al. (2017) Algorithm 6 modified for a negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'a, 'b> Sub<&'b TwoFloat> for &'a f64

fn sub(self, rhs: &'b TwoFloat) -> Self::Output

Implements subtraction of f64 and TwoFloat using Joldes et al. (2017) Algorithm 4 modified for negative left-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'b> Sub<&'b TwoFloat> for TwoFloat

fn sub(self, rhs: &'b TwoFloat) -> Self::Output

Implements subtraction of two TwoFloat values using Joldes et al. (2017) Algorithm 6 modified for a negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'b> Sub<&'b TwoFloat> for f64

fn sub(self, rhs: &'b TwoFloat) -> Self::Output

Implements subtraction of f64 and TwoFloat using Joldes et al. (2017) Algorithm 4 modified for negative left-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'a, 'b> Sub<&'b f64> for &'a TwoFloat

fn sub(self, rhs: &'b f64) -> Self::Output

Implements subtraction of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4 modified for negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'b> Sub<&'b f64> for TwoFloat

fn sub(self, rhs: &'b f64) -> Self::Output

Implements subtraction of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4 modified for negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

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

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

Implements subtraction of two TwoFloat values using Joldes et al. (2017) Algorithm 6 modified for a negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'a> Sub<TwoFloat> for &'a f64

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

Implements subtraction of f64 and TwoFloat using Joldes et al. (2017) Algorithm 4 modified for negative left-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl Sub<TwoFloat> for TwoFloat

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

Implements subtraction of two TwoFloat values using Joldes et al. (2017) Algorithm 6 modified for a negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl Sub<TwoFloat> for f64

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

Implements subtraction of f64 and TwoFloat using Joldes et al. (2017) Algorithm 4 modified for negative left-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'a> Sub<f64> for &'a TwoFloat

fn sub(self, rhs: f64) -> Self::Output

Implements subtraction of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4 modified for negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl Sub<f64> for TwoFloat

fn sub(self, rhs: f64) -> Self::Output

Implements subtraction of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4 modified for negative right-hand side.

type Output = TwoFloat

The resulting type after applying the - operator.

impl<'a> SubAssign<&'a TwoFloat> for TwoFloat

fn sub_assign(&mut self, rhs: &'a TwoFloat)

Implements subtraction of two TwoFloat values using Joldes et al. (2017) Algorithm 6 modified for a negative right-hand side.

impl<'a> SubAssign<&'a f64> for TwoFloat

fn sub_assign(&mut self, rhs: &'a f64)

Implements subtraction of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4 modified for negative right-hand side.

impl<'a> SubAssign<TwoFloat> for TwoFloat

fn sub_assign(&mut self, rhs: TwoFloat)

Implements subtraction of two TwoFloat values using Joldes et al. (2017) Algorithm 6 modified for a negative right-hand side.

impl<'a> SubAssign<f64> for TwoFloat

fn sub_assign(&mut self, rhs: f64)

Implements subtraction of TwoFloat and f64 using Joldes et al. (2017) Algorithm 4 modified for negative right-hand side.

impl ToPrimitive for TwoFloat

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64.

impl<'a> TryFrom<&'a TwoFloat> for i128

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for i16

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for i32

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for i64

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for i8

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for u128

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for u16

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for u32

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for u64

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl<'a> TryFrom<&'a TwoFloat> for u8

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: &'a TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<[f64; 2]> for TwoFloat

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: [f64; 2]) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<(f64, f64)> for TwoFloat

type Error = TwoFloatError

The type returned in the event of a conversion error.

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

Performs the conversion.

impl TryFrom<TwoFloat> for i128

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for i16

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for i32

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for i64

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for i8

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for u128

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for u16

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for u32

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for u64

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<TwoFloat> for u8

type Error = TwoFloatError

The type returned in the event of a conversion error.

fn try_from(value: TwoFloat) -> Result<Self, Self::Error>

Performs the conversion.

impl UpperExp for TwoFloat

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

Formats the value using the given formatter.

impl Zero for TwoFloat

fn zero() -> Self

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.

impl Copy for TwoFloat