The 64-bit floating point type.
impl f64
[src]
pub fn floor(self) -> f64
[src]
Returns the largest integer less than or equal to a number.
pub fn ceil(self) -> f64
[src]
Returns the smallest integer greater than or equal to a number.
pub fn round(self) -> f64
[src]
Returns the nearest integer to a number. Round half-way cases away from 0.0
.
pub fn trunc(self) -> f64
[src]
Returns the integer part of a number.
pub fn fract(self) -> f64
[src]
Returns the fractional part of a number.
pub fn abs(self) -> f64
[src]
Computes the absolute value of self
. Returns NAN
if the number is NAN
.
pub fn signum(self) -> f64
[src]
Returns a number that represents the sign of self
.
1.0
if the number is positive, +0.0
or INFINITY
-1.0
if the number is negative, -0.0
or NEG_INFINITY
NAN
if the number is NAN
pub fn copysign(self, sign: f64) -> f64
[src]1.35.0
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 of sign
is returned.
pub fn mul_add(self, a: f64, b: f64) -> f64
[src]
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
can be more performant than an unfused multiply-add if the target architecture has a dedicated fma
CPU instruction.
pub fn div_euclid(self, rhs: f64) -> f64
[src]
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
.
pub fn rem_euclid(self, rhs: f64) -> f64
[src]
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)
approximatively.
pub fn powi(self, n: i32) -> f64
[src]
Raises a number to an integer power.
Using this function is generally faster than using powf
pub fn powf(self, n: f64) -> f64
[src]
Raises a number to a floating point power.
pub fn sqrt(self) -> f64
[src]
Takes the square root of a number.
Returns NaN if self
is a negative number.
pub fn exp(self) -> f64
[src]
Returns e^(self)
, (the exponential function).
pub fn exp2(self) -> f64
[src]
Returns 2^(self)
.
pub fn ln(self) -> f64
[src]
Returns the natural logarithm of the number.
pub fn log(self, base: f64) -> f64
[src]
Returns the logarithm of the number with respect to an arbitrary base.
The result may 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.
pub fn log2(self) -> f64
[src]
Returns the base 2 logarithm of the number.
pub fn log10(self) -> f64
[src]
Returns the base 10 logarithm of the number.
pub fn abs_sub(self, other: f64) -> f64
[src]
The positive difference of two numbers.
self <= other
: 0:0
self - other
pub fn cbrt(self) -> f64
[src]
Takes the cubic root of a number.
pub fn hypot(self, other: f64) -> f64
[src]
Calculates the length of the hypotenuse of a right-angle triangle given legs of length x
and y
.
pub fn sin(self) -> f64
[src]
Computes the sine of a number (in radians).
pub fn cos(self) -> f64
[src]
Computes the cosine of a number (in radians).
pub fn tan(self) -> f64
[src]
Computes the tangent of a number (in radians).
pub fn asin(self) -> f64
[src]
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].
pub fn acos(self) -> f64
[src]
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].
pub fn atan(self) -> f64
[src]
Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];
pub fn atan2(self, other: f64) -> f64
[src]
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)
use std::f64; let pi = f64::consts::PI; // 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) - (-pi/4.0)).abs(); let abs_difference_2 = (y2.atan2(x2) - 3.0*pi/4.0).abs(); assert!(abs_difference_1 < 1e-10); assert!(abs_difference_2 < 1e-10);
pub fn sin_cos(self) -> (f64, f64)
[src]
Simultaneously computes the sine and cosine of the number, x
. Returns (sin(x), cos(x))
.
pub fn exp_m1(self) -> f64
[src]
Returns e^(self) - 1
in a way that is accurate even if the number is close to zero.
pub fn ln_1p(self) -> f64
[src]
Returns ln(1+n)
(natural logarithm) more accurately than if the operations were performed separately.
pub fn sinh(self) -> f64
[src]
Hyperbolic sine function.
pub fn cosh(self) -> f64
[src]
Hyperbolic cosine function.
pub fn tanh(self) -> f64
[src]
Hyperbolic tangent function.
pub fn asinh(self) -> f64
[src]
Inverse hyperbolic sine function.
pub fn acosh(self) -> f64
[src]
Inverse hyperbolic cosine function.
pub fn atanh(self) -> f64
[src]
Inverse hyperbolic tangent function.
pub fn clamp(self, min: f64, max: f64) -> f64
[src]
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
.
Not that this function returns NaN if the initial value was NaN as well.
Panics if min > max
, min
is NaN, or max
is NaN.
impl f64
[src]
pub fn is_nan(self) -> bool
[src]
Returns true
if this value is NaN
.
pub fn is_infinite(self) -> bool
[src]
Returns true
if this value is positive infinity or negative infinity, and false
otherwise.
pub fn is_finite(self) -> bool
[src]
Returns true
if this number is neither infinite nor NaN
.
pub fn is_normal(self) -> bool
[src]
Returns true
if the number is neither zero, infinite, subnormal, or NaN
.
use std::f64; 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());
pub fn classify(self) -> FpCategory
[src]
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.
pub fn is_sign_positive(self) -> bool
[src]
Returns true
if self
has a positive sign, including +0.0
, NaN
s with positive sign bit and positive infinity.
pub fn is_sign_negative(self) -> bool
[src]
Returns true
if self
has a negative sign, including -0.0
, NaN
s with negative sign bit and negative infinity.
pub fn recip(self) -> f64
[src]
Takes the reciprocal (inverse) of a number, 1/x
.
pub fn to_degrees(self) -> f64
[src]
Converts radians to degrees.
pub fn to_radians(self) -> f64
[src]
Converts degrees to radians.
pub fn max(self, other: f64) -> f64
[src]
Returns the maximum of the two numbers.
If one of the arguments is NaN, then the other argument is returned.
pub fn min(self, other: f64) -> f64
[src]
Returns the minimum of the two numbers.
If one of the arguments is NaN, then the other argument is returned.
pub fn to_bits(self) -> u64
[src]1.20.0
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.
pub fn from_bits(v: u64) -> f64
[src]1.20.0
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:
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 favours 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 signalingness (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.
impl<'_> SubAssign<&'_ f64> for f64
[src]1.22.0
fn sub_assign(&mut self, other: &f64)
[src]
impl SubAssign<f64> for f64
[src]1.8.0
fn sub_assign(&mut self, other: f64)
[src]
impl Sum<f64> for f64
[src]1.12.0
impl<'a> Sum<&'a f64> for f64
[src]1.12.0
impl Copy for f64
[src]
impl Default for f64
[src]
impl UpperExp for f64
[src]
impl Clone for f64
[src]
fn clone(&self) -> f64
[src]
fn clone_from(&mut self, source: &Self)
[src]
Performs copy-assignment from source
. Read more
impl<'_> DivAssign<&'_ f64> for f64
[src]1.22.0
fn div_assign(&mut self, other: &f64)
[src]
impl DivAssign<f64> for f64
[src]1.8.0
fn div_assign(&mut self, other: f64)
[src]
impl AddAssign<f64> for f64
[src]1.8.0
fn add_assign(&mut self, other: f64)
[src]
impl<'_> AddAssign<&'_ f64> for f64
[src]1.22.0
fn add_assign(&mut self, other: &f64)
[src]
impl Neg for f64
[src]
impl<'_> Neg for &'_ f64
[src]
type Output = <f64 as Neg>::Output
The resulting type after applying the -
operator.
fn neg(self) -> <f64 as Neg>::Output
[src]
impl<'_> Rem<&'_ f64> for f64
[src]
type Output = <f64 as Rem<f64>>::Output
The resulting type after applying the %
operator.
fn rem(self, other: &f64) -> <f64 as Rem<f64>>::Output
[src]
impl<'_, '_> Rem<&'_ f64> for &'_ f64
[src]
type Output = <f64 as Rem<f64>>::Output
The resulting type after applying the %
operator.
fn rem(self, other: &f64) -> <f64 as Rem<f64>>::Output
[src]
impl<'a> Rem<f64> for &'a f64
[src]
type Output = <f64 as Rem<f64>>::Output
The resulting type after applying the %
operator.
fn rem(self, other: f64) -> <f64 as Rem<f64>>::Output
[src]
impl Rem<f64> for f64
[src]
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
.
type Output = f64
The resulting type after applying the %
operator.
fn rem(self, other: f64) -> f64
[src]
impl<'_, '_> Div<&'_ f64> for &'_ f64
[src]
type Output = <f64 as Div<f64>>::Output
The resulting type after applying the /
operator.
fn div(self, other: &f64) -> <f64 as Div<f64>>::Output
[src]
impl<'a> Div<f64> for &'a f64
[src]
type Output = <f64 as Div<f64>>::Output
The resulting type after applying the /
operator.
fn div(self, other: f64) -> <f64 as Div<f64>>::Output
[src]
impl Div<f64> for f64
[src]
type Output = f64
The resulting type after applying the /
operator.
fn div(self, other: f64) -> f64
[src]
impl<'_> Div<&'_ f64> for f64
[src]
type Output = <f64 as Div<f64>>::Output
The resulting type after applying the /
operator.
fn div(self, other: &f64) -> <f64 as Div<f64>>::Output
[src]
impl PartialOrd<f64> for f64
[src]
fn partial_cmp(&self, other: &f64) -> Option<Ordering>
[src]
fn lt(&self, other: &f64) -> bool
[src]
fn le(&self, other: &f64) -> bool
[src]
fn ge(&self, other: &f64) -> bool
[src]
fn gt(&self, other: &f64) -> bool
[src]
impl<'a> Product<&'a f64> for f64
[src]1.12.0
impl Product<f64> for f64
[src]1.12.0
impl Debug for f64
[src]
impl PartialEq<f64> for f64
[src]
impl<'_> MulAssign<&'_ f64> for f64
[src]1.22.0
fn mul_assign(&mut self, other: &f64)
[src]
impl MulAssign<f64> for f64
[src]1.8.0
fn mul_assign(&mut self, other: f64)
[src]
impl Mul<f64> for f64
[src]
type Output = f64
The resulting type after applying the *
operator.
fn mul(self, other: f64) -> f64
[src]
impl<'_, '_> Mul<&'_ f64> for &'_ f64
[src]
type Output = <f64 as Mul<f64>>::Output
The resulting type after applying the *
operator.
fn mul(self, other: &f64) -> <f64 as Mul<f64>>::Output
[src]
impl<'a> Mul<f64> for &'a f64
[src]
type Output = <f64 as Mul<f64>>::Output
The resulting type after applying the *
operator.
fn mul(self, other: f64) -> <f64 as Mul<f64>>::Output
[src]
impl<'_> Mul<&'_ f64> for f64
[src]
type Output = <f64 as Mul<f64>>::Output
The resulting type after applying the *
operator.
fn mul(self, other: &f64) -> <f64 as Mul<f64>>::Output
[src]
impl<'_> Sub<&'_ f64> for f64
[src]
type Output = <f64 as Sub<f64>>::Output
The resulting type after applying the -
operator.
fn sub(self, other: &f64) -> <f64 as Sub<f64>>::Output
[src]
impl<'_, '_> Sub<&'_ f64> for &'_ f64
[src]
type Output = <f64 as Sub<f64>>::Output
The resulting type after applying the -
operator.
fn sub(self, other: &f64) -> <f64 as Sub<f64>>::Output
[src]
impl Sub<f64> for f64
[src]
type Output = f64
The resulting type after applying the -
operator.
fn sub(self, other: f64) -> f64
[src]
impl<'a> Sub<f64> for &'a f64
[src]
type Output = <f64 as Sub<f64>>::Output
The resulting type after applying the -
operator.
fn sub(self, other: f64) -> <f64 as Sub<f64>>::Output
[src]
impl LowerExp for f64
[src]
impl Display for f64
[src]
impl From<i32> for f64
[src]1.6.0
Converts i32
to f64
losslessly.
impl From<u32> for f64
[src]1.6.0
Converts u32
to f64
losslessly.
impl From<f32> for f64
[src]1.6.0
Converts f32
to f64
losslessly.
impl From<i16> for f64
[src]1.6.0
Converts i16
to f64
losslessly.
impl From<u8> for f64
[src]1.6.0
Converts u8
to f64
losslessly.
impl From<i8> for f64
[src]1.6.0
Converts i8
to f64
losslessly.
impl From<u16> for f64
[src]1.6.0
Converts u16
to f64
losslessly.
impl Add<f64> for f64
[src]
type Output = f64
The resulting type after applying the +
operator.
fn add(self, other: f64) -> f64
[src]
impl<'_, '_> Add<&'_ f64> for &'_ f64
[src]
type Output = <f64 as Add<f64>>::Output
The resulting type after applying the +
operator.
fn add(self, other: &f64) -> <f64 as Add<f64>>::Output
[src]
impl<'a> Add<f64> for &'a f64
[src]
type Output = <f64 as Add<f64>>::Output
The resulting type after applying the +
operator.
fn add(self, other: f64) -> <f64 as Add<f64>>::Output
[src]
impl<'_> Add<&'_ f64> for f64
[src]
type Output = <f64 as Add<f64>>::Output
The resulting type after applying the +
operator.
fn add(self, other: &f64) -> <f64 as Add<f64>>::Output
[src]
impl RemAssign<f64> for f64
[src]1.8.0
fn rem_assign(&mut self, other: f64)
[src]
impl<'_> RemAssign<&'_ f64> for f64
[src]1.22.0
fn rem_assign(&mut self, other: &f64)
[src]
impl FromStr for f64
[src]
type Err = ParseFloatError
The associated error which can be returned from parsing.
fn from_str(src: &str) -> Result<f64, ParseFloatError>
[src]
Converts a string in base 10 to a float. Accepts an optional decimal exponent.
This function accepts strings such as
Leading and trailing whitespace represent an error.
All strings that adhere to the following EBNF grammar will result in an Ok
being returned:
Float ::= Sign? ( 'inf' | 'NaN' | Number ) Number ::= ( Digit+ | Digit+ '.' Digit* | Digit* '.' Digit+ ) Exp? Exp ::= [eE] Sign? Digit+ Sign ::= [+-] Digit ::= [0-9]
In some situations, some strings that should create a valid float instead return an error. See issue #31407 for details.
Err(ParseFloatError)
if the string did not represent a valid number. Otherwise, Ok(n)
where n
is the floating-point number represented by src
.
impl UnwindSafe for f64
impl RefUnwindSafe for f64
impl Unpin for f64
impl Send for f64
impl Sync for f64
impl<T, U> TryFrom<U> for T where
U: Into<T>,
[src]
type Error = Infallible
The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
[src]
impl<T, U> Into<U> for T where
U: From<T>,
[src]
impl<T> From<T> for T
[src]
impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
[src]
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
[src]
impl<T> Borrow<T> for T where
T: ?Sized,
[src]
fn borrow(&self) -> &T
[src]
impl<'_, F> Future for &'_ mut F where F: Unpin + Future + ?Sized, type Output = <F as Future>::Output; impl<'_, I> Iterator for &'_ mut I where I: Iterator + ?Sized, type Item = <I as Iterator>::Item; impl<'_, R: Read + ?Sized> Read for &'_ mut R impl<'_, W: Write + ?Sized> Write for &'_ mut W
impl<T> BorrowMut<T> for T where
T: ?Sized,
[src]
fn borrow_mut(&mut self) -> &mut T
[src]
impl<'_, F> Future for &'_ mut F where F: Unpin + Future + ?Sized, type Output = <F as Future>::Output; impl<'_, I> Iterator for &'_ mut I where I: Iterator + ?Sized, type Item = <I as Iterator>::Item; impl<'_, R: Read + ?Sized> Read for &'_ mut R impl<'_, W: Write + ?Sized> Write for &'_ mut W
impl<T> Any for T where
T: 'static + ?Sized,
[src]
impl<T> ToOwned for T where
T: Clone,
[src]
type Owned = T
The resulting type after obtaining ownership.
fn to_owned(&self) -> T
[src]
fn clone_into(&self, target: &mut T)
[src]
impl<T> ToString for T where
T: Display + ?Sized,
[src]
© 2010 The Rust Project Developers
Licensed under the Apache License, Version 2.0 or the MIT license, at your option.
https://doc.rust-lang.org/std/primitive.f64.html