Trait Float 

pub trait Float:
    Copy
    + Default
    + PartialEq
    + PartialOrd
    + Debug
    + Display
    + LowerExp
    + Add<Output = Self>
    + Sub<Output = Self>
    + Mul<Output = Self>
    + Div<Output = Self>
    + Rem<Output = Self>
    + Neg<Output = Self>
    + AddAssign
    + SubAssign
    + MulAssign
    + DivAssign
    + Sum
    + Product
    + Send
    + Sync
    + 'static
    + Sealed {
    const ZERO: Self;
    const ONE: Self;
    const TWO: Self;
    const HALF: Self;
    const PI: Self;
    const INFINITY: Self;
    const NAN: Self;
    const EPSILON: Self;
    const MIN_POSITIVE: Self;
    const MAX: Self;
    const MANTISSA_DIGITS: u32;

    // Required methods
    fn from_f64(x: f64) -> Self;
    fn to_f64(self) -> f64;
    fn abs(self) -> Self;
    fn sqrt(self) -> Self;
    fn hypot(self, other: Self) -> Self;
    fn atan2(self, other: Self) -> Self;
    fn sin_cos(self) -> (Self, Self);
    fn exp(self) -> Self;
    fn ln(self) -> Self;
    fn ln_1p(self) -> Self;
    fn powi(self, n: i32) -> Self;
    fn mul_add(self, a: Self, b: Self) -> Self;
    fn copysign(self, sign: Self) -> Self;
    fn max(self, other: Self) -> Self;
    fn min(self, other: Self) -> Self;
    fn is_finite(self) -> bool;
    fn is_infinite(self) -> bool;
    fn is_nan(self) -> bool;
    fn is_sign_negative(self) -> bool;
}

f32 or f64: the type of the parts of a Complex, and of the real numbers a matrix of either gives, such as its norms and singular values. The methods are those of the two types, for code generic over both. The trait is sealed.

Required Associated Constants

const ZERO: Self

const ONE: Self

const TWO: Self

const HALF: Self

1/2.

const PI: Self

π.

const INFINITY: Self

Infinity.

const NAN: Self

Not a number.

const EPSILON: Self

The difference between 1 and the next larger float.

const MIN_POSITIVE: Self

The smallest positive normal float.

const MAX: Self

The largest finite float.

const MANTISSA_DIGITS: u32

The number of significant bits, the hidden one included.

Required Methods

fn from_f64(x: f64) -> Self

The nearest float to x.

fn to_f64(self) -> f64

The value as an f64, exactly.

fn abs(self) -> Self

The absolute value.

fn sqrt(self) -> Self

The square root.

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

√(self² + other²) without an overflow or underflow in the squares.

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

The angle of the point (other, self), in [-π, π].

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

The sine and the cosine.

fn exp(self) -> Self

e^self.

fn ln(self) -> Self

The natural logarithm.

fn ln_1p(self) -> Self

ln(1 + self), accurate near zero.

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

self to the integer power n.

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

self · a + b with one rounding.

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

The absolute value of self with the sign of sign.

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

The larger of the two, ignoring a NaN.

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

The smaller of the two, ignoring a NaN.

fn is_finite(self) -> bool

Whether it is neither infinite nor NaN.

fn is_infinite(self) -> bool

Whether it is infinite.

fn is_nan(self) -> bool

Whether it is NaN.

fn is_sign_negative(self) -> bool

Whether its sign bit is set, as for -0.0.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety".

Implementations on Foreign Types

impl Float for f32

const ZERO: Self = 0.0

const ONE: Self = 1.0

const TWO: Self = 2.0

const HALF: Self = 0.5

const PI: Self = core::f32::consts::PI

const INFINITY: Self = f32::INFINITY

const NAN: Self = f32::NAN

const EPSILON: Self = f32::EPSILON

const MIN_POSITIVE: Self = f32::MIN_POSITIVE

const MAX: Self = f32::MAX

const MANTISSA_DIGITS: u32 = f32::MANTISSA_DIGITS

fn from_f64(x: f64) -> Self

fn to_f64(self) -> f64

fn abs(self) -> Self

fn sqrt(self) -> Self

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

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

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

fn exp(self) -> Self

fn ln(self) -> Self

fn ln_1p(self) -> Self

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

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

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

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

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

fn is_finite(self) -> bool

fn is_infinite(self) -> bool

fn is_nan(self) -> bool

fn is_sign_negative(self) -> bool

impl Float for f64

const ZERO: Self = 0.0

const ONE: Self = 1.0

const TWO: Self = 2.0

const HALF: Self = 0.5

const PI: Self = core::f64::consts::PI

const INFINITY: Self = f64::INFINITY

const NAN: Self = f64::NAN

const EPSILON: Self = f64::EPSILON

const MIN_POSITIVE: Self = f64::MIN_POSITIVE

const MAX: Self = f64::MAX

const MANTISSA_DIGITS: u32 = f64::MANTISSA_DIGITS

fn from_f64(x: f64) -> Self

fn to_f64(self) -> f64

fn abs(self) -> Self

fn sqrt(self) -> Self

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

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

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

fn exp(self) -> Self

fn ln(self) -> Self

fn ln_1p(self) -> Self

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

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

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

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

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

fn is_finite(self) -> bool

fn is_infinite(self) -> bool

fn is_nan(self) -> bool

fn is_sign_negative(self) -> bool

Implementors