Type Alias catalyst_toolbox::vote_check::explorer::transaction_by_id::Float
source · type Float = f64;
Implementations§
source§impl f64
impl f64
1.0.0 · sourcepub fn floor(self) -> f64
pub fn floor(self) -> f64
Returns the largest integer less than or equal to self
.
Examples
let f = 3.7_f64;
let g = 3.0_f64;
let h = -3.7_f64;
assert_eq!(f.floor(), 3.0);
assert_eq!(g.floor(), 3.0);
assert_eq!(h.floor(), -4.0);
1.0.0 · sourcepub fn ceil(self) -> f64
pub fn ceil(self) -> f64
Returns the smallest integer greater than or equal to self
.
Examples
let f = 3.01_f64;
let g = 4.0_f64;
assert_eq!(f.ceil(), 4.0);
assert_eq!(g.ceil(), 4.0);
1.0.0 · sourcepub fn round(self) -> f64
pub fn round(self) -> f64
Returns the nearest integer to self
. If a value is half-way between two
integers, round away from 0.0
.
Examples
let f = 3.3_f64;
let g = -3.3_f64;
let h = -3.7_f64;
let i = 3.5_f64;
let j = 4.5_f64;
assert_eq!(f.round(), 3.0);
assert_eq!(g.round(), -3.0);
assert_eq!(h.round(), -4.0);
assert_eq!(i.round(), 4.0);
assert_eq!(j.round(), 5.0);
sourcepub fn round_ties_even(self) -> f64
🔬This is a nightly-only experimental API. (round_ties_even
)
pub fn round_ties_even(self) -> f64
round_ties_even
)Returns the nearest integer to a number. Rounds half-way cases to the number with an even least significant digit.
Examples
#![feature(round_ties_even)]
let f = 3.3_f64;
let g = -3.3_f64;
let h = 3.5_f64;
let i = 4.5_f64;
assert_eq!(f.round_ties_even(), 3.0);
assert_eq!(g.round_ties_even(), -3.0);
assert_eq!(h.round_ties_even(), 4.0);
assert_eq!(i.round_ties_even(), 4.0);
1.0.0 · sourcepub fn trunc(self) -> f64
pub fn trunc(self) -> f64
Returns the integer part of self
.
This means that non-integer numbers are always truncated towards zero.
Examples
let f = 3.7_f64;
let g = 3.0_f64;
let h = -3.7_f64;
assert_eq!(f.trunc(), 3.0);
assert_eq!(g.trunc(), 3.0);
assert_eq!(h.trunc(), -3.0);
1.0.0 · sourcepub fn fract(self) -> f64
pub fn fract(self) -> f64
Returns the fractional part of self
.
Examples
let x = 3.6_f64;
let y = -3.6_f64;
let abs_difference_x = (x.fract() - 0.6).abs();
let abs_difference_y = (y.fract() - (-0.6)).abs();
assert!(abs_difference_x < 1e-10);
assert!(abs_difference_y < 1e-10);
1.0.0 · sourcepub fn abs(self) -> f64
pub fn abs(self) -> f64
Computes the absolute value of self
.
Examples
let x = 3.5_f64;
let y = -3.5_f64;
let abs_difference_x = (x.abs() - x).abs();
let abs_difference_y = (y.abs() - (-y)).abs();
assert!(abs_difference_x < 1e-10);
assert!(abs_difference_y < 1e-10);
assert!(f64::NAN.abs().is_nan());
1.0.0 · sourcepub fn signum(self) -> f64
pub fn signum(self) -> f64
Returns a number that represents the sign of self
.
1.0
if the number is positive,+0.0
orINFINITY
-1.0
if the number is negative,-0.0
orNEG_INFINITY
- NaN if the number is NaN
Examples
let f = 3.5_f64;
assert_eq!(f.signum(), 1.0);
assert_eq!(f64::NEG_INFINITY.signum(), -1.0);
assert!(f64::NAN.signum().is_nan());
1.35.0 · sourcepub fn copysign(self, sign: f64) -> f64
pub fn copysign(self, sign: f64) -> f64
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
. If self
is a NaN, then a NaN with the sign bit of
sign
is returned. Note, however, that conserving the sign bit on NaN
across arithmetical operations is not generally guaranteed.
See explanation of NaN as a special value for more info.
Examples
let f = 3.5_f64;
assert_eq!(f.copysign(0.42), 3.5_f64);
assert_eq!(f.copysign(-0.42), -3.5_f64);
assert_eq!((-f).copysign(0.42), 3.5_f64);
assert_eq!((-f).copysign(-0.42), -3.5_f64);
assert!(f64::NAN.copysign(1.0).is_nan());
1.0.0 · sourcepub fn mul_add(self, a: f64, b: f64) -> f64
pub fn mul_add(self, a: f64, b: f64) -> f64
Fused multiply-add. Computes (self * a) + b
with only one rounding
error, yielding a more accurate result than an unfused multiply-add.
Using mul_add
may be more performant than an unfused multiply-add if
the target architecture has a dedicated fma
CPU instruction. However,
this is not always true, and will be heavily dependant on designing
algorithms with specific target hardware in mind.
Examples
let m = 10.0_f64;
let x = 4.0_f64;
let b = 60.0_f64;
// 100.0
let abs_difference = (m.mul_add(x, b) - ((m * x) + b)).abs();
assert!(abs_difference < 1e-10);
1.38.0 · sourcepub fn div_euclid(self, rhs: f64) -> f64
pub fn div_euclid(self, rhs: f64) -> f64
Calculates Euclidean division, the matching method for rem_euclid
.
This computes the integer n
such that
self = n * rhs + self.rem_euclid(rhs)
.
In other words, the result is self / rhs
rounded to the integer n
such that self >= n * rhs
.
Examples
let a: f64 = 7.0;
let b = 4.0;
assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0
assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0
assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0
assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0
1.38.0 · sourcepub fn rem_euclid(self, rhs: f64) -> f64
pub fn rem_euclid(self, rhs: f64) -> f64
Calculates the least nonnegative remainder of self (mod rhs)
.
In particular, the return value r
satisfies 0.0 <= r < rhs.abs()
in
most cases. However, due to a floating point round-off error it can
result in r == rhs.abs()
, violating the mathematical definition, if
self
is much smaller than rhs.abs()
in magnitude and self < 0.0
.
This result is not an element of the function’s codomain, but it is the
closest floating point number in the real numbers and thus fulfills the
property self == self.div_euclid(rhs) * rhs + self.rem_euclid(rhs)
approximately.
Examples
let a: f64 = 7.0;
let b = 4.0;
assert_eq!(a.rem_euclid(b), 3.0);
assert_eq!((-a).rem_euclid(b), 1.0);
assert_eq!(a.rem_euclid(-b), 3.0);
assert_eq!((-a).rem_euclid(-b), 1.0);
// limitation due to round-off error
assert!((-f64::EPSILON).rem_euclid(3.0) != 0.0);
1.0.0 · sourcepub fn powi(self, n: i32) -> f64
pub fn powi(self, n: i32) -> f64
Raises a number to an integer power.
Using this function is generally faster than using powf
.
It might have a different sequence of rounding operations than powf
,
so the results are not guaranteed to agree.
Examples
let x = 2.0_f64;
let abs_difference = (x.powi(2) - (x * x)).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn powf(self, n: f64) -> f64
pub fn powf(self, n: f64) -> f64
Raises a number to a floating point power.
Examples
let x = 2.0_f64;
let abs_difference = (x.powf(2.0) - (x * x)).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn sqrt(self) -> f64
pub fn sqrt(self) -> f64
Returns the square root of a number.
Returns NaN if self
is a negative number other than -0.0
.
Examples
let positive = 4.0_f64;
let negative = -4.0_f64;
let negative_zero = -0.0_f64;
let abs_difference = (positive.sqrt() - 2.0).abs();
assert!(abs_difference < 1e-10);
assert!(negative.sqrt().is_nan());
assert!(negative_zero.sqrt() == negative_zero);
1.0.0 · sourcepub fn exp(self) -> f64
pub fn exp(self) -> f64
Returns e^(self)
, (the exponential function).
Examples
let one = 1.0_f64;
// e^1
let e = one.exp();
// ln(e) - 1 == 0
let abs_difference = (e.ln() - 1.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn exp2(self) -> f64
pub fn exp2(self) -> f64
Returns 2^(self)
.
Examples
let f = 2.0_f64;
// 2^2 - 4 == 0
let abs_difference = (f.exp2() - 4.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn ln(self) -> f64
pub fn ln(self) -> f64
Returns the natural logarithm of the number.
Examples
let one = 1.0_f64;
// e^1
let e = one.exp();
// ln(e) - 1 == 0
let abs_difference = (e.ln() - 1.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn log(self, base: f64) -> f64
pub fn log(self, base: f64) -> f64
Returns the logarithm of the number with respect to an arbitrary base.
The result might not be correctly rounded owing to implementation details;
self.log2()
can produce more accurate results for base 2, and
self.log10()
can produce more accurate results for base 10.
Examples
let twenty_five = 25.0_f64;
// log5(25) - 2 == 0
let abs_difference = (twenty_five.log(5.0) - 2.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn log2(self) -> f64
pub fn log2(self) -> f64
Returns the base 2 logarithm of the number.
Examples
let four = 4.0_f64;
// log2(4) - 2 == 0
let abs_difference = (four.log2() - 2.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn log10(self) -> f64
pub fn log10(self) -> f64
Returns the base 10 logarithm of the number.
Examples
let hundred = 100.0_f64;
// log10(100) - 2 == 0
let abs_difference = (hundred.log10() - 2.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn abs_sub(self, other: f64) -> f64
👎Deprecated since 1.10.0: you probably meant (self - other).abs()
: this operation is (self - other).max(0.0)
except that abs_sub
also propagates NaNs (also known as fdim
in C). If you truly need the positive difference, consider using that expression or the C function fdim
, depending on how you wish to handle NaN (please consider filing an issue describing your use-case too).
pub fn abs_sub(self, other: f64) -> f64
(self - other).abs()
: this operation is (self - other).max(0.0)
except that abs_sub
also propagates NaNs (also known as fdim
in C). If you truly need the positive difference, consider using that expression or the C function fdim
, depending on how you wish to handle NaN (please consider filing an issue describing your use-case too).The positive difference of two numbers.
- If
self <= other
:0.0
- Else:
self - other
Examples
let x = 3.0_f64;
let y = -3.0_f64;
let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();
let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();
assert!(abs_difference_x < 1e-10);
assert!(abs_difference_y < 1e-10);
1.0.0 · sourcepub fn cbrt(self) -> f64
pub fn cbrt(self) -> f64
Returns the cube root of a number.
Examples
let x = 8.0_f64;
// x^(1/3) - 2 == 0
let abs_difference = (x.cbrt() - 2.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn hypot(self, other: f64) -> f64
pub fn hypot(self, other: f64) -> f64
Compute the distance between the origin and a point (x
, y
) on the
Euclidean plane. Equivalently, compute the length of the hypotenuse of a
right-angle triangle with other sides having length x.abs()
and
y.abs()
.
Examples
let x = 2.0_f64;
let y = 3.0_f64;
// sqrt(x^2 + y^2)
let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn sin(self) -> f64
pub fn sin(self) -> f64
Computes the sine of a number (in radians).
Examples
let x = std::f64::consts::FRAC_PI_2;
let abs_difference = (x.sin() - 1.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn cos(self) -> f64
pub fn cos(self) -> f64
Computes the cosine of a number (in radians).
Examples
let x = 2.0 * std::f64::consts::PI;
let abs_difference = (x.cos() - 1.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn tan(self) -> f64
pub fn tan(self) -> f64
Computes the tangent of a number (in radians).
Examples
let x = std::f64::consts::FRAC_PI_4;
let abs_difference = (x.tan() - 1.0).abs();
assert!(abs_difference < 1e-14);
1.0.0 · sourcepub fn asin(self) -> f64
pub fn asin(self) -> f64
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].
Examples
let f = std::f64::consts::FRAC_PI_2;
// asin(sin(pi/2))
let abs_difference = (f.sin().asin() - std::f64::consts::FRAC_PI_2).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn acos(self) -> f64
pub fn acos(self) -> f64
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].
Examples
let f = std::f64::consts::FRAC_PI_4;
// acos(cos(pi/4))
let abs_difference = (f.cos().acos() - std::f64::consts::FRAC_PI_4).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn atan(self) -> f64
pub fn atan(self) -> f64
Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];
Examples
let f = 1.0_f64;
// atan(tan(1))
let abs_difference = (f.tan().atan() - 1.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn atan2(self, other: f64) -> f64
pub fn atan2(self, other: f64) -> f64
Computes the four quadrant arctangent of self
(y
) and other
(x
) in radians.
x = 0
,y = 0
:0
x >= 0
:arctan(y/x)
->[-pi/2, pi/2]
y >= 0
:arctan(y/x) + pi
->(pi/2, pi]
y < 0
:arctan(y/x) - pi
->(-pi, -pi/2)
Examples
// Positive angles measured counter-clockwise
// from positive x axis
// -pi/4 radians (45 deg clockwise)
let x1 = 3.0_f64;
let y1 = -3.0_f64;
// 3pi/4 radians (135 deg counter-clockwise)
let x2 = -3.0_f64;
let y2 = 3.0_f64;
let abs_difference_1 = (y1.atan2(x1) - (-std::f64::consts::FRAC_PI_4)).abs();
let abs_difference_2 = (y2.atan2(x2) - (3.0 * std::f64::consts::FRAC_PI_4)).abs();
assert!(abs_difference_1 < 1e-10);
assert!(abs_difference_2 < 1e-10);
1.0.0 · sourcepub fn sin_cos(self) -> (f64, f64)
pub fn sin_cos(self) -> (f64, f64)
Simultaneously computes the sine and cosine of the number, x
. Returns
(sin(x), cos(x))
.
Examples
let x = std::f64::consts::FRAC_PI_4;
let f = x.sin_cos();
let abs_difference_0 = (f.0 - x.sin()).abs();
let abs_difference_1 = (f.1 - x.cos()).abs();
assert!(abs_difference_0 < 1e-10);
assert!(abs_difference_1 < 1e-10);
1.0.0 · sourcepub fn exp_m1(self) -> f64
pub fn exp_m1(self) -> f64
Returns e^(self) - 1
in a way that is accurate even if the
number is close to zero.
Examples
let x = 1e-16_f64;
// for very small x, e^x is approximately 1 + x + x^2 / 2
let approx = x + x * x / 2.0;
let abs_difference = (x.exp_m1() - approx).abs();
assert!(abs_difference < 1e-20);
1.0.0 · sourcepub fn ln_1p(self) -> f64
pub fn ln_1p(self) -> f64
Returns ln(1+n)
(natural logarithm) more accurately than if
the operations were performed separately.
Examples
let x = 1e-16_f64;
// for very small x, ln(1 + x) is approximately x - x^2 / 2
let approx = x - x * x / 2.0;
let abs_difference = (x.ln_1p() - approx).abs();
assert!(abs_difference < 1e-20);
1.0.0 · sourcepub fn sinh(self) -> f64
pub fn sinh(self) -> f64
Hyperbolic sine function.
Examples
let e = std::f64::consts::E;
let x = 1.0_f64;
let f = x.sinh();
// Solving sinh() at 1 gives `(e^2-1)/(2e)`
let g = ((e * e) - 1.0) / (2.0 * e);
let abs_difference = (f - g).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn cosh(self) -> f64
pub fn cosh(self) -> f64
Hyperbolic cosine function.
Examples
let e = std::f64::consts::E;
let x = 1.0_f64;
let f = x.cosh();
// Solving cosh() at 1 gives this result
let g = ((e * e) + 1.0) / (2.0 * e);
let abs_difference = (f - g).abs();
// Same result
assert!(abs_difference < 1.0e-10);
1.0.0 · sourcepub fn tanh(self) -> f64
pub fn tanh(self) -> f64
Hyperbolic tangent function.
Examples
let e = std::f64::consts::E;
let x = 1.0_f64;
let f = x.tanh();
// Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))`
let g = (1.0 - e.powi(-2)) / (1.0 + e.powi(-2));
let abs_difference = (f - g).abs();
assert!(abs_difference < 1.0e-10);
1.0.0 · sourcepub fn asinh(self) -> f64
pub fn asinh(self) -> f64
Inverse hyperbolic sine function.
Examples
let x = 1.0_f64;
let f = x.sinh().asinh();
let abs_difference = (f - x).abs();
assert!(abs_difference < 1.0e-10);
1.0.0 · sourcepub fn acosh(self) -> f64
pub fn acosh(self) -> f64
Inverse hyperbolic cosine function.
Examples
let x = 1.0_f64;
let f = x.cosh().acosh();
let abs_difference = (f - x).abs();
assert!(abs_difference < 1.0e-10);
1.0.0 · sourcepub fn atanh(self) -> f64
pub fn atanh(self) -> f64
Inverse hyperbolic tangent function.
Examples
let e = std::f64::consts::E;
let f = e.tanh().atanh();
let abs_difference = (f - e).abs();
assert!(abs_difference < 1.0e-10);
sourcepub fn gamma(self) -> f64
🔬This is a nightly-only experimental API. (float_gamma
)
pub fn gamma(self) -> f64
float_gamma
)Gamma function.
Examples
#![feature(float_gamma)]
let x = 5.0f64;
let abs_difference = (x.gamma() - 24.0).abs();
assert!(abs_difference <= f64::EPSILON);
sourcepub fn ln_gamma(self) -> (f64, i32)
🔬This is a nightly-only experimental API. (float_gamma
)
pub fn ln_gamma(self) -> (f64, i32)
float_gamma
)Natural logarithm of the absolute value of the gamma function
The integer part of the tuple indicates the sign of the gamma function.
Examples
#![feature(float_gamma)]
let x = 2.0f64;
let abs_difference = (x.ln_gamma().0 - 0.0).abs();
assert!(abs_difference <= f64::EPSILON);
source§impl f64
impl f64
1.43.0 · sourcepub const MANTISSA_DIGITS: u32 = 53u32
pub const MANTISSA_DIGITS: u32 = 53u32
Number of significant digits in base 2.
1.43.0 · sourcepub const EPSILON: f64 = 2.2204460492503131E-16f64
pub const EPSILON: f64 = 2.2204460492503131E-16f64
Machine epsilon value for f64
.
This is the difference between 1.0
and the next larger representable number.
1.43.0 · sourcepub const MIN_POSITIVE: f64 = 2.2250738585072014E-308f64
pub const MIN_POSITIVE: f64 = 2.2250738585072014E-308f64
Smallest positive normal f64
value.
1.43.0 · sourcepub const MIN_EXP: i32 = -1_021i32
pub const MIN_EXP: i32 = -1_021i32
One greater than the minimum possible normal power of 2 exponent.
1.43.0 · sourcepub const MIN_10_EXP: i32 = -307i32
pub const MIN_10_EXP: i32 = -307i32
Minimum possible normal power of 10 exponent.
1.43.0 · sourcepub const MAX_10_EXP: i32 = 308i32
pub const MAX_10_EXP: i32 = 308i32
Maximum possible power of 10 exponent.
1.43.0 · sourcepub const NAN: f64 = NaNf64
pub const NAN: f64 = NaNf64
Not a Number (NaN).
Note that IEEE 754 doesn’t define just a single NaN value; a plethora of bit patterns are considered to be NaN. Furthermore, the standard makes a difference between a “signaling” and a “quiet” NaN, and allows inspecting its “payload” (the unspecified bits in the bit pattern). This constant isn’t guaranteed to equal to any specific NaN bitpattern, and the stability of its representation over Rust versions and target platforms isn’t guaranteed.
1.43.0 · sourcepub const NEG_INFINITY: f64 = -Inff64
pub const NEG_INFINITY: f64 = -Inff64
Negative infinity (−∞).
1.0.0 (const: unstable) · sourcepub fn is_nan(self) -> bool
pub fn is_nan(self) -> bool
Returns true
if this value is NaN.
let nan = f64::NAN;
let f = 7.0_f64;
assert!(nan.is_nan());
assert!(!f.is_nan());
1.0.0 (const: unstable) · sourcepub fn is_infinite(self) -> bool
pub fn is_infinite(self) -> bool
Returns true
if this value is positive infinity or negative infinity, and
false
otherwise.
let f = 7.0f64;
let inf = f64::INFINITY;
let neg_inf = f64::NEG_INFINITY;
let nan = f64::NAN;
assert!(!f.is_infinite());
assert!(!nan.is_infinite());
assert!(inf.is_infinite());
assert!(neg_inf.is_infinite());
1.0.0 (const: unstable) · sourcepub fn is_finite(self) -> bool
pub fn is_finite(self) -> bool
Returns true
if this number is neither infinite nor NaN.
let f = 7.0f64;
let inf: f64 = f64::INFINITY;
let neg_inf: f64 = f64::NEG_INFINITY;
let nan: f64 = f64::NAN;
assert!(f.is_finite());
assert!(!nan.is_finite());
assert!(!inf.is_finite());
assert!(!neg_inf.is_finite());
1.53.0 (const: unstable) · sourcepub fn is_subnormal(self) -> bool
pub fn is_subnormal(self) -> bool
Returns true
if the number is subnormal.
let min = f64::MIN_POSITIVE; // 2.2250738585072014e-308_f64
let max = f64::MAX;
let lower_than_min = 1.0e-308_f64;
let zero = 0.0_f64;
assert!(!min.is_subnormal());
assert!(!max.is_subnormal());
assert!(!zero.is_subnormal());
assert!(!f64::NAN.is_subnormal());
assert!(!f64::INFINITY.is_subnormal());
// Values between `0` and `min` are Subnormal.
assert!(lower_than_min.is_subnormal());
1.0.0 (const: unstable) · sourcepub fn is_normal(self) -> bool
pub fn is_normal(self) -> bool
Returns true
if the number is neither zero, infinite,
subnormal, or NaN.
let min = f64::MIN_POSITIVE; // 2.2250738585072014e-308f64
let max = f64::MAX;
let lower_than_min = 1.0e-308_f64;
let zero = 0.0f64;
assert!(min.is_normal());
assert!(max.is_normal());
assert!(!zero.is_normal());
assert!(!f64::NAN.is_normal());
assert!(!f64::INFINITY.is_normal());
// Values between `0` and `min` are Subnormal.
assert!(!lower_than_min.is_normal());
1.0.0 (const: unstable) · sourcepub fn classify(self) -> FpCategory
pub 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.
use std::num::FpCategory;
let num = 12.4_f64;
let inf = f64::INFINITY;
assert_eq!(num.classify(), FpCategory::Normal);
assert_eq!(inf.classify(), FpCategory::Infinite);
1.0.0 (const: unstable) · sourcepub fn is_sign_positive(self) -> bool
pub fn is_sign_positive(self) -> bool
Returns true
if self
has a positive sign, including +0.0
, NaNs with
positive sign bit and positive infinity. Note that IEEE 754 doesn’t assign any
meaning to the sign bit in case of a NaN, and as Rust doesn’t guarantee that
the bit pattern of NaNs are conserved over arithmetic operations, the result of
is_sign_positive
on a NaN might produce an unexpected result in some cases.
See explanation of NaN as a special value for more info.
let f = 7.0_f64;
let g = -7.0_f64;
assert!(f.is_sign_positive());
assert!(!g.is_sign_positive());
1.0.0 (const: unstable) · sourcepub fn is_sign_negative(self) -> bool
pub fn is_sign_negative(self) -> bool
Returns true
if self
has a negative sign, including -0.0
, NaNs with
negative sign bit and negative infinity. Note that IEEE 754 doesn’t assign any
meaning to the sign bit in case of a NaN, and as Rust doesn’t guarantee that
the bit pattern of NaNs are conserved over arithmetic operations, the result of
is_sign_negative
on a NaN might produce an unexpected result in some cases.
See explanation of NaN as a special value for more info.
let f = 7.0_f64;
let g = -7.0_f64;
assert!(!f.is_sign_negative());
assert!(g.is_sign_negative());
const: unstable · sourcepub fn next_up(self) -> f64
🔬This is a nightly-only experimental API. (float_next_up_down
)
pub fn next_up(self) -> f64
float_next_up_down
)Returns the least number greater than self
.
Let TINY
be the smallest representable positive f64
. Then,
- if
self.is_nan()
, this returnsself
; - if
self
isNEG_INFINITY
, this returnsMIN
; - if
self
is-TINY
, this returns -0.0; - if
self
is -0.0 or +0.0, this returnsTINY
; - if
self
isMAX
orINFINITY
, this returnsINFINITY
; - otherwise the unique least value greater than
self
is returned.
The identity x.next_up() == -(-x).next_down()
holds for all non-NaN x
. When x
is finite x == x.next_up().next_down()
also holds.
#![feature(float_next_up_down)]
// f64::EPSILON is the difference between 1.0 and the next number up.
assert_eq!(1.0f64.next_up(), 1.0 + f64::EPSILON);
// But not for most numbers.
assert!(0.1f64.next_up() < 0.1 + f64::EPSILON);
assert_eq!(9007199254740992f64.next_up(), 9007199254740994.0);
const: unstable · sourcepub fn next_down(self) -> f64
🔬This is a nightly-only experimental API. (float_next_up_down
)
pub fn next_down(self) -> f64
float_next_up_down
)Returns the greatest number less than self
.
Let TINY
be the smallest representable positive f64
. Then,
- if
self.is_nan()
, this returnsself
; - if
self
isINFINITY
, this returnsMAX
; - if
self
isTINY
, this returns 0.0; - if
self
is -0.0 or +0.0, this returns-TINY
; - if
self
isMIN
orNEG_INFINITY
, this returnsNEG_INFINITY
; - otherwise the unique greatest value less than
self
is returned.
The identity x.next_down() == -(-x).next_up()
holds for all non-NaN x
. When x
is finite x == x.next_down().next_up()
also holds.
#![feature(float_next_up_down)]
let x = 1.0f64;
// Clamp value into range [0, 1).
let clamped = x.clamp(0.0, 1.0f64.next_down());
assert!(clamped < 1.0);
assert_eq!(clamped.next_up(), 1.0);
1.0.0 · sourcepub fn recip(self) -> f64
pub fn recip(self) -> f64
Takes the reciprocal (inverse) of a number, 1/x
.
let x = 2.0_f64;
let abs_difference = (x.recip() - (1.0 / x)).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn to_degrees(self) -> f64
pub fn to_degrees(self) -> f64
Converts radians to degrees.
let angle = std::f64::consts::PI;
let abs_difference = (angle.to_degrees() - 180.0).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn to_radians(self) -> f64
pub fn to_radians(self) -> f64
Converts degrees to radians.
let angle = 180.0_f64;
let abs_difference = (angle.to_radians() - std::f64::consts::PI).abs();
assert!(abs_difference < 1e-10);
1.0.0 · sourcepub fn max(self, other: f64) -> f64
pub fn max(self, other: f64) -> f64
Returns the maximum of the two numbers, ignoring NaN.
If one of the arguments is NaN, then the other argument is returned. This follows the IEEE 754-2008 semantics for maxNum, except for handling of signaling NaNs; this function handles all NaNs the same way and avoids maxNum’s problems with associativity. This also matches the behavior of libm’s fmax.
let x = 1.0_f64;
let y = 2.0_f64;
assert_eq!(x.max(y), y);
1.0.0 · sourcepub fn min(self, other: f64) -> f64
pub fn min(self, other: f64) -> f64
Returns the minimum of the two numbers, ignoring NaN.
If one of the arguments is NaN, then the other argument is returned. This follows the IEEE 754-2008 semantics for minNum, except for handling of signaling NaNs; this function handles all NaNs the same way and avoids minNum’s problems with associativity. This also matches the behavior of libm’s fmin.
let x = 1.0_f64;
let y = 2.0_f64;
assert_eq!(x.min(y), x);
sourcepub fn maximum(self, other: f64) -> f64
🔬This is a nightly-only experimental API. (float_minimum_maximum
)
pub fn maximum(self, other: f64) -> f64
float_minimum_maximum
)Returns the maximum of the two numbers, propagating NaN.
This returns NaN when either argument is NaN, as opposed to
f64::max
which only returns NaN when both arguments are NaN.
#![feature(float_minimum_maximum)]
let x = 1.0_f64;
let y = 2.0_f64;
assert_eq!(x.maximum(y), y);
assert!(x.maximum(f64::NAN).is_nan());
If one of the arguments is NaN, then NaN is returned. Otherwise this returns the greater of the two numbers. For this operation, -0.0 is considered to be less than +0.0. Note that this follows the semantics specified in IEEE 754-2019.
Also note that “propagation” of NaNs here doesn’t necessarily mean that the bitpattern of a NaN operand is conserved; see explanation of NaN as a special value for more info.
sourcepub fn minimum(self, other: f64) -> f64
🔬This is a nightly-only experimental API. (float_minimum_maximum
)
pub fn minimum(self, other: f64) -> f64
float_minimum_maximum
)Returns the minimum of the two numbers, propagating NaN.
This returns NaN when either argument is NaN, as opposed to
f64::min
which only returns NaN when both arguments are NaN.
#![feature(float_minimum_maximum)]
let x = 1.0_f64;
let y = 2.0_f64;
assert_eq!(x.minimum(y), x);
assert!(x.minimum(f64::NAN).is_nan());
If one of the arguments is NaN, then NaN is returned. Otherwise this returns the lesser of the two numbers. For this operation, -0.0 is considered to be less than +0.0. Note that this follows the semantics specified in IEEE 754-2019.
Also note that “propagation” of NaNs here doesn’t necessarily mean that the bitpattern of a NaN operand is conserved; see explanation of NaN as a special value for more info.
sourcepub fn midpoint(self, other: f64) -> f64
🔬This is a nightly-only experimental API. (num_midpoint
)
pub fn midpoint(self, other: f64) -> f64
num_midpoint
)Calculates the middle point of self
and rhs
.
This returns NaN when either argument is NaN or if a combination of +inf and -inf is provided as arguments.
Examples
#![feature(num_midpoint)]
assert_eq!(1f64.midpoint(4.0), 2.5);
assert_eq!((-5.5f64).midpoint(8.0), 1.25);
1.44.0 · sourcepub unsafe fn to_int_unchecked<Int>(self) -> Intwhere
f64: FloatToInt<Int>,
pub unsafe fn to_int_unchecked<Int>(self) -> Intwhere f64: FloatToInt<Int>,
Rounds toward zero and converts to any primitive integer type, assuming that the value is finite and fits in that type.
let value = 4.6_f64;
let rounded = unsafe { value.to_int_unchecked::<u16>() };
assert_eq!(rounded, 4);
let value = -128.9_f64;
let rounded = unsafe { value.to_int_unchecked::<i8>() };
assert_eq!(rounded, i8::MIN);
Safety
The value must:
- Not be
NaN
- Not be infinite
- Be representable in the return type
Int
, after truncating off its fractional part
1.20.0 (const: unstable) · sourcepub fn to_bits(self) -> u64
pub fn to_bits(self) -> u64
Raw transmutation to u64
.
This is currently identical to transmute::<f64, u64>(self)
on all platforms.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Note that this function is distinct from as
casting, which attempts to
preserve the numeric value, and not the bitwise value.
Examples
assert!((1f64).to_bits() != 1f64 as u64); // to_bits() is not casting!
assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
1.20.0 (const: unstable) · sourcepub fn from_bits(v: u64) -> f64
pub fn from_bits(v: u64) -> f64
Raw transmutation from u64
.
This is currently identical to transmute::<u64, f64>(v)
on all platforms.
It turns out this is incredibly portable, for two reasons:
- Floats and Ints have the same endianness on all supported platforms.
- IEEE 754 very precisely specifies the bit layout of floats.
However there is one caveat: prior to the 2008 version of IEEE 754, how to interpret the NaN signaling bit wasn’t actually specified. Most platforms (notably x86 and ARM) picked the interpretation that was ultimately standardized in 2008, but some didn’t (notably MIPS). As a result, all signaling NaNs on MIPS are quiet NaNs on x86, and vice-versa.
Rather than trying to preserve signaling-ness cross-platform, this implementation favors preserving the exact bits. This means that any payloads encoded in NaNs will be preserved even if the result of this method is sent over the network from an x86 machine to a MIPS one.
If the results of this method are only manipulated by the same architecture that produced them, then there is no portability concern.
If the input isn’t NaN, then there is no portability concern.
If you don’t care about signaling-ness (very likely), then there is no portability concern.
Note that this function is distinct from as
casting, which attempts to
preserve the numeric value, and not the bitwise value.
Examples
let v = f64::from_bits(0x4029000000000000);
assert_eq!(v, 12.5);
1.40.0 (const: unstable) · sourcepub fn to_be_bytes(self) -> [u8; 8]
pub fn to_be_bytes(self) -> [u8; 8]
Return the memory representation of this floating point number as a byte array in big-endian (network) byte order.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Examples
let bytes = 12.5f64.to_be_bytes();
assert_eq!(bytes, [0x40, 0x29, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]);
1.40.0 (const: unstable) · sourcepub fn to_le_bytes(self) -> [u8; 8]
pub fn to_le_bytes(self) -> [u8; 8]
Return the memory representation of this floating point number as a byte array in little-endian byte order.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Examples
let bytes = 12.5f64.to_le_bytes();
assert_eq!(bytes, [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x29, 0x40]);
1.40.0 (const: unstable) · sourcepub fn to_ne_bytes(self) -> [u8; 8]
pub fn to_ne_bytes(self) -> [u8; 8]
Return the memory representation of this floating point number as a byte array in native byte order.
As the target platform’s native endianness is used, portable code
should use to_be_bytes
or to_le_bytes
, as appropriate, instead.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Examples
let bytes = 12.5f64.to_ne_bytes();
assert_eq!(
bytes,
if cfg!(target_endian = "big") {
[0x40, 0x29, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
} else {
[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x29, 0x40]
}
);
1.40.0 (const: unstable) · sourcepub fn from_be_bytes(bytes: [u8; 8]) -> f64
pub fn from_be_bytes(bytes: [u8; 8]) -> f64
Create a floating point value from its representation as a byte array in big endian.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Examples
let value = f64::from_be_bytes([0x40, 0x29, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]);
assert_eq!(value, 12.5);
1.40.0 (const: unstable) · sourcepub fn from_le_bytes(bytes: [u8; 8]) -> f64
pub fn from_le_bytes(bytes: [u8; 8]) -> f64
Create a floating point value from its representation as a byte array in little endian.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Examples
let value = f64::from_le_bytes([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x29, 0x40]);
assert_eq!(value, 12.5);
1.40.0 (const: unstable) · sourcepub fn from_ne_bytes(bytes: [u8; 8]) -> f64
pub fn from_ne_bytes(bytes: [u8; 8]) -> f64
Create a floating point value from its representation as a byte array in native endian.
As the target platform’s native endianness is used, portable code
likely wants to use from_be_bytes
or from_le_bytes
, as
appropriate instead.
See from_bits
for some discussion of the
portability of this operation (there are almost no issues).
Examples
let value = f64::from_ne_bytes(if cfg!(target_endian = "big") {
[0x40, 0x29, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
} else {
[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x29, 0x40]
});
assert_eq!(value, 12.5);
1.62.0 · sourcepub fn total_cmp(&self, other: &f64) -> Ordering
pub fn total_cmp(&self, other: &f64) -> Ordering
Return the ordering between self
and other
.
Unlike the standard partial comparison between floating point numbers,
this comparison always produces an ordering in accordance to
the totalOrder
predicate as defined in the IEEE 754 (2008 revision)
floating point standard. The values are ordered in the following sequence:
- negative quiet NaN
- negative signaling NaN
- negative infinity
- negative numbers
- negative subnormal numbers
- negative zero
- positive zero
- positive subnormal numbers
- positive numbers
- positive infinity
- positive signaling NaN
- positive quiet NaN.
The ordering established by this function does not always agree with the
PartialOrd
and PartialEq
implementations of f64
. For example,
they consider negative and positive zero equal, while total_cmp
doesn’t.
The interpretation of the signaling NaN bit follows the definition in the IEEE 754 standard, which may not match the interpretation by some of the older, non-conformant (e.g. MIPS) hardware implementations.
Example
struct GoodBoy {
name: String,
weight: f64,
}
let mut bois = vec![
GoodBoy { name: "Pucci".to_owned(), weight: 0.1 },
GoodBoy { name: "Woofer".to_owned(), weight: 99.0 },
GoodBoy { name: "Yapper".to_owned(), weight: 10.0 },
GoodBoy { name: "Chonk".to_owned(), weight: f64::INFINITY },
GoodBoy { name: "Abs. Unit".to_owned(), weight: f64::NAN },
GoodBoy { name: "Floaty".to_owned(), weight: -5.0 },
];
bois.sort_by(|a, b| a.weight.total_cmp(&b.weight));
1.50.0 · sourcepub fn clamp(self, min: f64, max: f64) -> f64
pub fn clamp(self, min: f64, max: f64) -> f64
Restrict a value to a certain interval unless it is NaN.
Returns max
if self
is greater than max
, and min
if self
is
less than min
. Otherwise this returns self
.
Note that this function returns NaN if the initial value was NaN as well.
Panics
Panics if min > max
, min
is NaN, or max
is NaN.
Examples
assert!((-3.0f64).clamp(-2.0, 1.0) == -2.0);
assert!((0.0f64).clamp(-2.0, 1.0) == 0.0);
assert!((2.0f64).clamp(-2.0, 1.0) == 1.0);
assert!((f64::NAN).clamp(-2.0, 1.0).is_nan());
Trait Implementations§
1.22.0 · source§impl AddAssign<&f64> for f64
impl AddAssign<&f64> for f64
source§fn add_assign(&mut self, other: &f64)
fn add_assign(&mut self, other: &f64)
+=
operation. Read more1.8.0 · source§impl AddAssign<f64> for f64
impl AddAssign<f64> for f64
source§fn add_assign(&mut self, other: f64)
fn add_assign(&mut self, other: f64)
+=
operation. Read more§impl ApproxEq for f64
impl ApproxEq for f64
§type Margin = F64Margin
type Margin = F64Margin
Default
so that
approx_eq()
can be called on unknown types.§impl ApproxEqRatio for f64
impl ApproxEqRatio for f64
§fn approx_eq_ratio(&self, other: &Self, ratio: Self) -> bool
fn approx_eq_ratio(&self, other: &Self, ratio: Self) -> bool
self
and other
are nearly equal by bounding the
difference between them to some number much less than the larger of the two.
This bound is set as the ratio of the difference to the larger.§fn approx_ne_ratio(&self, other: &Self, ratio: Self) -> bool
fn approx_ne_ratio(&self, other: &Self, ratio: Self) -> bool
self
and other
are not nearly equal by bounding the
difference between them to some number much less than the larger of the two.
This bound is set as the ratio of the difference to the larger.§impl ApproxEqUlps for f64
impl ApproxEqUlps for f64
type Flt = f64
§fn approx_eq_ulps(&self, other: &f64, ulps: i64) -> bool
fn approx_eq_ulps(&self, other: &f64, ulps: i64) -> bool
self
and other
values to be approximately equal
within ULPs (Units of Least Precision) floating point representations.
Differing signs are always unequal with this method, and zeroes are only
equal to zeroes. Use approx_eq() from the ApproxEq trait if that is more
appropriate.§fn approx_ne_ulps(&self, other: &Self, ulps: <Self::Flt as Ulps>::U) -> bool
fn approx_ne_ulps(&self, other: &Self, ulps: <Self::Flt as Ulps>::U) -> bool
self
and other
values to be not approximately
equal within ULPs (Units of Least Precision) floating point representations.
Differing signs are always unequal with this method, and zeroes are only
equal to zeroes. Use approx_eq() from the ApproxEq trait if that is more
appropriate.§impl Arbitrary for f64
impl Arbitrary for f64
§type Parameters = ()
type Parameters = ()
arbitrary_with
accepts for configuration
of the generated Strategy
. Parameters must implement Default
.§fn arbitrary_with(
_args: <f64 as Arbitrary>::Parameters
) -> <f64 as Arbitrary>::Strategy
fn arbitrary_with( _args: <f64 as Arbitrary>::Parameters ) -> <f64 as Arbitrary>::Strategy
§impl AsBytes for f64
impl AsBytes for f64
§fn as_bytes_mut(&mut self) -> &mut [u8] ⓘwhere
Self: FromBytes,
fn as_bytes_mut(&mut self) -> &mut [u8] ⓘwhere Self: FromBytes,
§fn write_to_prefix(&self, bytes: &mut [u8]) -> Option<()>
fn write_to_prefix(&self, bytes: &mut [u8]) -> Option<()>
§impl AsExpression<Double> for f64
impl AsExpression<Double> for f64
§type Expression = Bound<Double, f64>
type Expression = Bound<Double, f64>
§fn as_expression(self) -> <f64 as AsExpression<Double>>::Expression
fn as_expression(self) -> <f64 as AsExpression<Double>>::Expression
§impl AsExpression<Nullable<Double>> for f64
impl AsExpression<Nullable<Double>> for f64
§type Expression = Bound<Nullable<Double>, f64>
type Expression = Bound<Nullable<Double>, f64>
§fn as_expression(self) -> <f64 as AsExpression<Nullable<Double>>>::Expression
fn as_expression(self) -> <f64 as AsExpression<Nullable<Double>>>::Expression
source§impl AsPrimitive<f32> for f64
impl AsPrimitive<f32> for f64
source§impl AsPrimitive<f64> for f64
impl AsPrimitive<f64> for f64
source§impl AsPrimitive<i128> for f64
impl AsPrimitive<i128> for f64
source§impl AsPrimitive<i16> for f64
impl AsPrimitive<i16> for f64
source§impl AsPrimitive<i32> for f64
impl AsPrimitive<i32> for f64
source§impl AsPrimitive<i64> for f64
impl AsPrimitive<i64> for f64
source§impl AsPrimitive<i8> for f64
impl AsPrimitive<i8> for f64
source§impl AsPrimitive<isize> for f64
impl AsPrimitive<isize> for f64
source§impl AsPrimitive<u128> for f64
impl AsPrimitive<u128> for f64
source§impl AsPrimitive<u16> for f64
impl AsPrimitive<u16> for f64
source§impl AsPrimitive<u32> for f64
impl AsPrimitive<u32> for f64
source§impl AsPrimitive<u64> for f64
impl AsPrimitive<u64> for f64
source§impl AsPrimitive<u8> for f64
impl AsPrimitive<u8> for f64
source§impl AsPrimitive<usize> for f64
impl AsPrimitive<usize> for f64
source§impl<'de> Deserialize<'de> for f64
impl<'de> Deserialize<'de> for f64
source§fn deserialize<D>(
deserializer: D
) -> Result<f64, <D as Deserializer<'de>>::Error>where
D: Deserializer<'de>,
fn deserialize<D>( deserializer: D ) -> Result<f64, <D as Deserializer<'de>>::Error>where D: Deserializer<'de>,
§impl Deserialize for f64
impl Deserialize for f64
§fn deserialize<R>(raw: &mut Deserializer<R>) -> Result<f64, Error>where
R: BufRead,
fn deserialize<R>(raw: &mut Deserializer<R>) -> Result<f64, Error>where R: BufRead,
Deserializer
.1.22.0 · source§impl DivAssign<&f64> for f64
impl DivAssign<&f64> for f64
source§fn div_assign(&mut self, other: &f64)
fn div_assign(&mut self, other: &f64)
/=
operation. Read more1.8.0 · source§impl DivAssign<f64> for f64
impl DivAssign<f64> for f64
source§fn div_assign(&mut self, other: f64)
fn div_assign(&mut self, other: f64)
/=
operation. Read moresource§impl Float for f64
impl Float for f64
source§fn neg_infinity() -> f64
fn neg_infinity() -> f64
source§fn min_value() -> f64
fn min_value() -> f64
source§fn min_positive_value() -> f64
fn min_positive_value() -> f64
source§fn max_value() -> f64
fn max_value() -> f64
source§fn integer_decode(self) -> (u64, i16, i8)
fn integer_decode(self) -> (u64, i16, i8)
sign * mantissa * 2 ^ exponent
. Read moresource§fn is_infinite(self) -> bool
fn is_infinite(self) -> bool
true
if this value is positive infinity or negative infinity and
false otherwise. Read moresource§fn classify(self) -> FpCategory
fn classify(self) -> FpCategory
source§fn ceil(self) -> f64
fn ceil(self) -> f64
source§fn round(self) -> f64
fn round(self) -> f64
0.0
. Read moresource§fn is_sign_positive(self) -> bool
fn is_sign_positive(self) -> bool
source§fn is_sign_negative(self) -> bool
fn is_sign_negative(self) -> bool
true
if self
is negative, including -0.0
,
Float::neg_infinity()
, and -Float::nan()
. Read moresource§fn mul_add(self, a: f64, b: f64) -> f64
fn mul_add(self, a: f64, b: f64) -> f64
(self * a) + b
with only one rounding
error, yielding a more accurate result than an unfused multiply-add. Read moresource§fn log(self, base: f64) -> f64
fn log(self, base: f64) -> f64
source§fn to_degrees(self) -> f64
fn to_degrees(self) -> f64
source§fn to_radians(self) -> f64
fn to_radians(self) -> f64
source§fn hypot(self, other: f64) -> f64
fn hypot(self, other: f64) -> f64
x
and y
. Read moresource§fn asin(self) -> f64
fn asin(self) -> f64
source§fn acos(self) -> f64
fn acos(self) -> f64
source§fn atan(self) -> f64
fn atan(self) -> f64
source§fn exp_m1(self) -> f64
fn exp_m1(self) -> f64
e^(self) - 1
in a way that is accurate even if the
number is close to zero. Read moresource§fn ln_1p(self) -> f64
fn ln_1p(self) -> f64
ln(1+n)
(natural logarithm) more accurately than if
the operations were performed separately. Read moresource§impl FloatConst for f64
impl FloatConst for f64
source§fn FRAC_1_SQRT_2() -> f64
fn FRAC_1_SQRT_2() -> f64
1.0 / sqrt(2.0)
.source§fn FRAC_2_SQRT_PI() -> f64
fn FRAC_2_SQRT_PI() -> f64
2.0 / sqrt(π)
.source§impl FloatCore for f64
impl FloatCore for f64
source§fn neg_infinity() -> f64
fn neg_infinity() -> f64
source§fn min_value() -> f64
fn min_value() -> f64
source§fn min_positive_value() -> f64
fn min_positive_value() -> f64
source§fn max_value() -> f64
fn max_value() -> f64
source§fn integer_decode(self) -> (u64, i16, i8)
fn integer_decode(self) -> (u64, i16, i8)
sign * mantissa * 2 ^ exponent
. Read moresource§fn is_infinite(self) -> bool
fn is_infinite(self) -> bool
true
if the number is infinite. Read moresource§fn is_normal(self) -> bool
fn is_normal(self) -> bool
true
if the number is neither zero, infinite, subnormal or NaN. Read moresource§fn classify(self) -> FpCategory
fn classify(self) -> FpCategory
source§fn is_sign_positive(self) -> bool
fn is_sign_positive(self) -> bool
true
if self
is positive, including +0.0
and
FloatCore::infinity()
, and FloatCore::nan()
. Read moresource§fn is_sign_negative(self) -> bool
fn is_sign_negative(self) -> bool
true
if self
is negative, including -0.0
and
FloatCore::neg_infinity()
, and -FloatCore::nan()
. Read moresource§fn recip(self) -> f64
fn recip(self) -> f64
source§fn to_degrees(self) -> f64
fn to_degrees(self) -> f64
source§fn to_radians(self) -> f64
fn to_radians(self) -> f64
source§fn ceil(self) -> f64
fn ceil(self) -> f64
source§fn round(self) -> f64
fn round(self) -> f64
0.0
. Read moresource§impl From<ActiveSlotsCoeff> for f64
impl From<ActiveSlotsCoeff> for f64
source§fn from(coeff: ActiveSlotsCoeff) -> f64
fn from(coeff: ActiveSlotsCoeff) -> f64
§impl FromBytes for f64
impl FromBytes for f64
§fn slice_from_prefix(bytes: &[u8], count: usize) -> Option<(&[Self], &[u8])>where
Self: Sized,
fn slice_from_prefix(bytes: &[u8], count: usize) -> Option<(&[Self], &[u8])>where Self: Sized,
bytes
as a &[Self]
with length
equal to count
without copying. Read more§fn slice_from_suffix(bytes: &[u8], count: usize) -> Option<(&[u8], &[Self])>where
Self: Sized,
fn slice_from_suffix(bytes: &[u8], count: usize) -> Option<(&[u8], &[Self])>where Self: Sized,
bytes
as a &[Self]
with length
equal to count
without copying. Read more§fn mut_slice_from_prefix(
bytes: &mut [u8],
count: usize
) -> Option<(&mut [Self], &mut [u8])>where
Self: Sized + AsBytes,
fn mut_slice_from_prefix( bytes: &mut [u8], count: usize ) -> Option<(&mut [Self], &mut [u8])>where Self: Sized + AsBytes,
bytes
as a &mut [Self]
with length
equal to count
without copying. Read more§fn mut_slice_from_suffix(
bytes: &mut [u8],
count: usize
) -> Option<(&mut [u8], &mut [Self])>where
Self: Sized + AsBytes,
fn mut_slice_from_suffix( bytes: &mut [u8], count: usize ) -> Option<(&mut [u8], &mut [Self])>where Self: Sized + AsBytes,
bytes
as a &mut [Self]
with length
equal to count
without copying. Read more§fn read_from_prefix(bytes: &[u8]) -> Option<Self>where
Self: Sized,
fn read_from_prefix(bytes: &[u8]) -> Option<Self>where Self: Sized,
source§impl FromBytes for f64
impl FromBytes for f64
type Bytes = [u8; 8]
source§fn from_be_bytes(bytes: &<f64 as FromBytes>::Bytes) -> f64
fn from_be_bytes(bytes: &<f64 as FromBytes>::Bytes) -> f64
source§impl FromPrimitive for f64
impl FromPrimitive for f64
source§fn from_isize(n: isize) -> Option<f64>
fn from_isize(n: isize) -> Option<f64>
isize
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i8(n: i8) -> Option<f64>
fn from_i8(n: i8) -> Option<f64>
i8
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i16(n: i16) -> Option<f64>
fn from_i16(n: i16) -> Option<f64>
i16
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i32(n: i32) -> Option<f64>
fn from_i32(n: i32) -> Option<f64>
i32
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i64(n: i64) -> Option<f64>
fn from_i64(n: i64) -> Option<f64>
i64
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i128(n: i128) -> Option<f64>
fn from_i128(n: i128) -> Option<f64>
i128
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned. Read moresource§fn from_usize(n: usize) -> Option<f64>
fn from_usize(n: usize) -> Option<f64>
usize
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u8(n: u8) -> Option<f64>
fn from_u8(n: u8) -> Option<f64>
u8
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u16(n: u16) -> Option<f64>
fn from_u16(n: u16) -> Option<f64>
u16
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u32(n: u32) -> Option<f64>
fn from_u32(n: u32) -> Option<f64>
u32
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u64(n: u64) -> Option<f64>
fn from_u64(n: u64) -> Option<f64>
u64
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u128(n: u128) -> Option<f64>
fn from_u128(n: u128) -> Option<f64>
u128
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned. Read more§impl<'a> FromSql<'a> for f64
impl<'a> FromSql<'a> for f64
§fn from_sql(
_: &Type,
raw: &'a [u8]
) -> Result<f64, Box<dyn Error + Sync + Send, Global>>
fn from_sql( _: &Type, raw: &'a [u8] ) -> Result<f64, Box<dyn Error + Sync + Send, Global>>
Type
in its binary format. Read more§fn accepts(ty: &Type) -> bool
fn accepts(ty: &Type) -> bool
Type
.§impl<__ST, __DB> FromSqlRow<__ST, __DB> for f64where
__DB: Backend,
f64: FromSql<__ST, __DB>,
impl<__ST, __DB> FromSqlRow<__ST, __DB> for f64where __DB: Backend, f64: FromSql<__ST, __DB>,
§fn build_from_row<R>(
row: &mut R
) -> Result<f64, Box<dyn Error + Sync + Send, Global>>where
R: Row<__DB>,
fn build_from_row<R>( row: &mut R ) -> Result<f64, Box<dyn Error + Sync + Send, Global>>where R: Row<__DB>,
§const FIELDS_NEEDED: usize = 1usize
const FIELDS_NEEDED: usize = 1usize
row.take()
in build_from_row
1.0.0 · source§impl FromStr for f64
impl FromStr for f64
source§fn from_str(src: &str) -> Result<f64, ParseFloatError>
fn from_str(src: &str) -> Result<f64, ParseFloatError>
Converts a string in base 10 to a float. Accepts an optional decimal exponent.
This function accepts strings such as
- ‘3.14’
- ‘-3.14’
- ‘2.5E10’, or equivalently, ‘2.5e10’
- ‘2.5E-10’
- ‘5.’
- ‘.5’, or, equivalently, ‘0.5’
- ‘inf’, ‘-inf’, ‘+infinity’, ‘NaN’
Note that alphabetical characters are not case-sensitive.
Leading and trailing whitespace represent an error.
Grammar
All strings that adhere to the following EBNF grammar when
lowercased will result in an Ok
being returned:
Float ::= Sign? ( 'inf' | 'infinity' | 'nan' | Number )
Number ::= ( Digit+ |
Digit+ '.' Digit* |
Digit* '.' Digit+ ) Exp?
Exp ::= 'e' Sign? Digit+
Sign ::= [+-]
Digit ::= [0-9]
Arguments
- src - A string
Return value
Err(ParseFloatError)
if the string did not represent a valid
number. Otherwise, Ok(n)
where n
is the closest
representable floating-point number to the number represented
by src
(following the same rules for rounding as for the
results of primitive operations).
§type Err = ParseFloatError
type Err = ParseFloatError
§impl FromValue<f64> for f64
impl FromValue<f64> for f64
§fn from_value(val: &Value) -> Option<f64>
fn from_value(val: &Value) -> Option<f64>
Tries to retrieve f64
from Value.
Examples:
use gtmpl_value::{FromValue, Value};
let v: Value = 23.1f64.into();
let i = f64::from_value(&v);
assert_eq!(i, Some(23.1f64));
§impl IntervalDsl for f64
impl IntervalDsl for f64
§fn microseconds(self) -> PgInterval
fn microseconds(self) -> PgInterval
self
as microseconds§fn milliseconds(self) -> PgInterval
fn milliseconds(self) -> PgInterval
self
as milliseconds§fn microsecond(self) -> PgInterval
fn microsecond(self) -> PgInterval
microseconds
§fn millisecond(self) -> PgInterval
fn millisecond(self) -> PgInterval
milliseconds
source§impl<'de, E> IntoDeserializer<'de, E> for f64where
E: Error,
impl<'de, E> IntoDeserializer<'de, E> for f64where E: Error,
§type Deserializer = F64Deserializer<E>
type Deserializer = F64Deserializer<E>
source§fn into_deserializer(self) -> F64Deserializer<E>
fn into_deserializer(self) -> F64Deserializer<E>
source§impl Message for f64
impl Message for f64
google.protobuf.DoubleValue
source§fn encoded_len(&self) -> usize
fn encoded_len(&self) -> usize
source§fn encode<B>(&self, buf: &mut B) -> Result<(), EncodeError>where
B: BufMut,
Self: Sized,
fn encode<B>(&self, buf: &mut B) -> Result<(), EncodeError>where B: BufMut, Self: Sized,
source§fn encode_to_vec(&self) -> Vec<u8, Global> ⓘwhere
Self: Sized,
fn encode_to_vec(&self) -> Vec<u8, Global> ⓘwhere Self: Sized,
source§fn encode_length_delimited<B>(&self, buf: &mut B) -> Result<(), EncodeError>where
B: BufMut,
Self: Sized,
fn encode_length_delimited<B>(&self, buf: &mut B) -> Result<(), EncodeError>where B: BufMut, Self: Sized,
source§fn encode_length_delimited_to_vec(&self) -> Vec<u8, Global> ⓘwhere
Self: Sized,
fn encode_length_delimited_to_vec(&self) -> Vec<u8, Global> ⓘwhere Self: Sized,
source§fn decode<B>(buf: B) -> Result<Self, DecodeError>where
B: Buf,
Self: Default,
fn decode<B>(buf: B) -> Result<Self, DecodeError>where B: Buf, Self: Default,
source§fn decode_length_delimited<B>(buf: B) -> Result<Self, DecodeError>where
B: Buf,
Self: Default,
fn decode_length_delimited<B>(buf: B) -> Result<Self, DecodeError>where B: Buf, Self: Default,
source§fn merge<B>(&mut self, buf: B) -> Result<(), DecodeError>where
B: Buf,
Self: Sized,
fn merge<B>(&mut self, buf: B) -> Result<(), DecodeError>where B: Buf, Self: Sized,
self
. Read moresource§fn merge_length_delimited<B>(&mut self, buf: B) -> Result<(), DecodeError>where
B: Buf,
Self: Sized,
fn merge_length_delimited<B>(&mut self, buf: B) -> Result<(), DecodeError>where B: Buf, Self: Sized,
self
.source§impl MulAddAssign<f64, f64> for f64
impl MulAddAssign<f64, f64> for f64
source§fn mul_add_assign(&mut self, a: f64, b: f64)
fn mul_add_assign(&mut self, a: f64, b: f64)
*self = (*self * a) + b
1.22.0 · source§impl MulAssign<&f64> for f64
impl MulAssign<&f64> for f64
source§fn mul_assign(&mut self, other: &f64)
fn mul_assign(&mut self, other: &f64)
*=
operation. Read more1.8.0 · source§impl MulAssign<f64> for f64
impl MulAssign<f64> for f64
source§fn mul_assign(&mut self, other: f64)
fn mul_assign(&mut self, other: f64)
*=
operation. Read moresource§impl Num for f64
impl Num for f64
type FromStrRadixErr = ParseFloatError
§impl NumericalDuration for f64
impl NumericalDuration for f64
§fn nanoseconds(self) -> Duration
fn nanoseconds(self) -> Duration
Duration
] from the number of nanoseconds.§fn microseconds(self) -> Duration
fn microseconds(self) -> Duration
Duration
] from the number of microseconds.§fn milliseconds(self) -> Duration
fn milliseconds(self) -> Duration
Duration
] from the number of milliseconds.§impl NumericalStdDuration for f64
impl NumericalStdDuration for f64
§fn std_nanoseconds(self) -> Duration
fn std_nanoseconds(self) -> Duration
std::time::Duration
from the number of nanoseconds.§fn std_microseconds(self) -> Duration
fn std_microseconds(self) -> Duration
std::time::Duration
from the number of microseconds.§fn std_milliseconds(self) -> Duration
fn std_milliseconds(self) -> Duration
std::time::Duration
from the number of milliseconds.§fn std_seconds(self) -> Duration
fn std_seconds(self) -> Duration
std::time::Duration
from the number of seconds.§fn std_minutes(self) -> Duration
fn std_minutes(self) -> Duration
std::time::Duration
from the number of minutes.§fn std_hours(self) -> Duration
fn std_hours(self) -> Duration
std::time::Duration
from the number of hours.§fn std_days(self) -> Duration
fn std_days(self) -> Duration
std::time::Duration
from the number of days.§fn std_weeks(self) -> Duration
fn std_weeks(self) -> Duration
std::time::Duration
from the number of weeks.source§impl PartialEq<Value> for f64
impl PartialEq<Value> for f64
source§impl PartialEq<Value> for f64
impl PartialEq<Value> for f64
1.0.0 · source§impl PartialOrd<f64> for f64
impl PartialOrd<f64> for f64
source§fn le(&self, other: &f64) -> bool
fn le(&self, other: &f64) -> bool
self
and other
) and is used by the <=
operator. Read more1.0.0 · source§impl Rem<f64> for f64
impl Rem<f64> for f64
The remainder from the division of two floats.
The remainder has the same sign as the dividend and is computed as:
x - (x / y).trunc() * y
.
Examples
let x: f32 = 50.50;
let y: f32 = 8.125;
let remainder = x - (x / y).trunc() * y;
// The answer to both operations is 1.75
assert_eq!(x % y, remainder);
1.22.0 · source§impl RemAssign<&f64> for f64
impl RemAssign<&f64> for f64
source§fn rem_assign(&mut self, other: &f64)
fn rem_assign(&mut self, other: &f64)
%=
operation. Read more1.8.0 · source§impl RemAssign<f64> for f64
impl RemAssign<f64> for f64
source§fn rem_assign(&mut self, other: f64)
fn rem_assign(&mut self, other: f64)
%=
operation. Read moresource§impl SampleUniform for f64
impl SampleUniform for f64
§type Sampler = UniformFloat<f64>
type Sampler = UniformFloat<f64>
UniformSampler
implementation supporting type X
.source§impl SampleUniform for f64
impl SampleUniform for f64
§type Sampler = UniformFloat<f64>
type Sampler = UniformFloat<f64>
UniformSampler
implementation supporting type X
.source§impl Serialize for f64
impl Serialize for f64
source§fn serialize<S>(
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>where
S: Serializer,
fn serialize<S>( &self, serializer: S ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>where S: Serializer,
source§impl Signed for f64
impl Signed for f64
source§fn abs_sub(&self, other: &f64) -> f64
fn abs_sub(&self, other: &f64) -> f64
The positive difference of two numbers. Returns 0.0
if the number is
less than or equal to other
, otherwise the difference betweenself
and other
is returned.
source§fn signum(&self) -> f64
fn signum(&self) -> f64
Returns
1.0
if the number is positive,+0.0
orINFINITY
-1.0
if the number is negative,-0.0
orNEG_INFINITY
NAN
if the number is NaN
source§fn is_positive(&self) -> bool
fn is_positive(&self) -> bool
Returns true
if the number is positive, including +0.0
and INFINITY
source§fn is_negative(&self) -> bool
fn is_negative(&self) -> bool
Returns true
if the number is negative, including -0.0
and NEG_INFINITY
source§impl SimdElement for f64
impl SimdElement for f64
1.22.0 · source§impl SubAssign<&f64> for f64
impl SubAssign<&f64> for f64
source§fn sub_assign(&mut self, other: &f64)
fn sub_assign(&mut self, other: &f64)
-=
operation. Read more1.8.0 · source§impl SubAssign<f64> for f64
impl SubAssign<f64> for f64
source§fn sub_assign(&mut self, other: f64)
fn sub_assign(&mut self, other: f64)
-=
operation. Read moresource§impl ToBytes for f64
impl ToBytes for f64
type Bytes = [u8; 8]
source§fn to_be_bytes(&self) -> <f64 as ToBytes>::Bytes
fn to_be_bytes(&self) -> <f64 as ToBytes>::Bytes
source§impl ToPrimitive for f64
impl ToPrimitive for f64
source§fn to_isize(&self) -> Option<isize>
fn to_isize(&self) -> Option<isize>
self
to an isize
. If the value cannot be
represented by an isize
, then None
is returned.source§fn to_i8(&self) -> Option<i8>
fn to_i8(&self) -> Option<i8>
self
to an i8
. If the value cannot be
represented by an i8
, then None
is returned.source§fn to_i16(&self) -> Option<i16>
fn to_i16(&self) -> Option<i16>
self
to an i16
. If the value cannot be
represented by an i16
, then None
is returned.source§fn to_i32(&self) -> Option<i32>
fn to_i32(&self) -> Option<i32>
self
to an i32
. If the value cannot be
represented by an i32
, then None
is returned.source§fn to_i64(&self) -> Option<i64>
fn to_i64(&self) -> Option<i64>
self
to an i64
. If the value cannot be
represented by an i64
, then None
is returned.source§fn to_i128(&self) -> Option<i128>
fn to_i128(&self) -> Option<i128>
self
to an i128
. If the value cannot be
represented by an i128
(i64
under the default implementation), then
None
is returned. Read moresource§fn to_usize(&self) -> Option<usize>
fn to_usize(&self) -> Option<usize>
self
to a usize
. If the value cannot be
represented by a usize
, then None
is returned.source§fn to_u8(&self) -> Option<u8>
fn to_u8(&self) -> Option<u8>
self
to a u8
. If the value cannot be
represented by a u8
, then None
is returned.source§fn to_u16(&self) -> Option<u16>
fn to_u16(&self) -> Option<u16>
self
to a u16
. If the value cannot be
represented by a u16
, then None
is returned.source§fn to_u32(&self) -> Option<u32>
fn to_u32(&self) -> Option<u32>
self
to a u32
. If the value cannot be
represented by a u32
, then None
is returned.source§fn to_u64(&self) -> Option<u64>
fn to_u64(&self) -> Option<u64>
self
to a u64
. If the value cannot be
represented by a u64
, then None
is returned.source§fn to_u128(&self) -> Option<u128>
fn to_u128(&self) -> Option<u128>
self
to a u128
. If the value cannot be
represented by a u128
(u64
under the default implementation), then
None
is returned. Read more§impl ToSql for f64
impl ToSql for f64
§fn to_sql(
&self,
_: &Type,
w: &mut BytesMut
) -> Result<IsNull, Box<dyn Error + Sync + Send, Global>>
fn to_sql( &self, _: &Type, w: &mut BytesMut ) -> Result<IsNull, Box<dyn Error + Sync + Send, Global>>
self
into the binary format of the specified
Postgres Type
, appending it to out
. Read more§fn accepts(ty: &Type) -> bool
fn accepts(ty: &Type) -> bool
Type
.§fn to_sql_checked(
&self,
ty: &Type,
out: &mut BytesMut
) -> Result<IsNull, Box<dyn Error + Sync + Send, Global>>
fn to_sql_checked( &self, ty: &Type, out: &mut BytesMut ) -> Result<IsNull, Box<dyn Error + Sync + Send, Global>>
§fn encode_format(&self, _ty: &Type) -> Format
fn encode_format(&self, _ty: &Type) -> Format
§impl TryFrom<Decimal> for f64
impl TryFrom<Decimal> for f64
Try to convert a Decimal
to f64
.
Can fail if the Decimal
is out of range for f64
.
§impl Ulps for f64
impl Ulps for f64
source§impl Weight for f64
impl Weight for f64
impl Copy for f64
impl DefaultIsZeroes for f64
impl Float for f64
impl FloatToInt<i128> for f64
impl FloatToInt<i16> for f64
impl FloatToInt<i32> for f64
impl FloatToInt<i64> for f64
impl FloatToInt<i8> for f64
impl FloatToInt<isize> for f64
impl FloatToInt<u128> for f64
impl FloatToInt<u16> for f64
impl FloatToInt<u32> for f64
impl FloatToInt<u64> for f64
impl FloatToInt<u8> for f64
impl FloatToInt<usize> for f64
impl Format for f64
Serialize into a f64