Struct elastic::types::prelude::Float
[−]
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pub struct Float<M> where
M: FloatMapping, { /* fields omitted */ }
Number type with a given mapping.
Methods
impl<M> Float<M> where
M: FloatMapping,
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M: FloatMapping,
fn new<I>(num: I) -> Float<M> where
I: Into<f32>,
I: Into<f32>,
Creates a new number with the given mapping.
fn remap<MInto>(self) -> Float<MInto> where
MInto: FloatMapping,
MInto: FloatMapping,
Change the mapping of this number.
Methods from Deref<Target = f32>
fn is_nan(self) -> bool
1.0.0
Returns true
if this value is NaN
and false otherwise.
use std::f32; let nan = f32::NAN; let f = 7.0_f32; assert!(nan.is_nan()); assert!(!f.is_nan());
fn is_infinite(self) -> bool
1.0.0
Returns true
if this value is positive infinity or negative infinity and
false otherwise.
use std::f32; let f = 7.0f32; let inf = f32::INFINITY; let neg_inf = f32::NEG_INFINITY; let nan = f32::NAN; assert!(!f.is_infinite()); assert!(!nan.is_infinite()); assert!(inf.is_infinite()); assert!(neg_inf.is_infinite());
fn is_finite(self) -> bool
1.0.0
Returns true
if this number is neither infinite nor NaN
.
use std::f32; let f = 7.0f32; let inf = f32::INFINITY; let neg_inf = f32::NEG_INFINITY; let nan = f32::NAN; assert!(f.is_finite()); assert!(!nan.is_finite()); assert!(!inf.is_finite()); assert!(!neg_inf.is_finite());
fn is_normal(self) -> bool
1.0.0
Returns true
if the number is neither zero, infinite,
subnormal, or NaN
.
use std::f32; let min = f32::MIN_POSITIVE; // 1.17549435e-38f32 let max = f32::MAX; let lower_than_min = 1.0e-40_f32; let zero = 0.0_f32; assert!(min.is_normal()); assert!(max.is_normal()); assert!(!zero.is_normal()); assert!(!f32::NAN.is_normal()); assert!(!f32::INFINITY.is_normal()); // Values between `0` and `min` are Subnormal. assert!(!lower_than_min.is_normal());
fn classify(self) -> FpCategory
1.0.0
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; use std::f32; let num = 12.4_f32; let inf = f32::INFINITY; assert_eq!(num.classify(), FpCategory::Normal); assert_eq!(inf.classify(), FpCategory::Infinite);
fn floor(self) -> f32
1.0.0
Returns the largest integer less than or equal to a number.
let f = 3.99_f32; let g = 3.0_f32; assert_eq!(f.floor(), 3.0); assert_eq!(g.floor(), 3.0);
fn ceil(self) -> f32
1.0.0
Returns the smallest integer greater than or equal to a number.
let f = 3.01_f32; let g = 4.0_f32; assert_eq!(f.ceil(), 4.0); assert_eq!(g.ceil(), 4.0);
fn round(self) -> f32
1.0.0
Returns the nearest integer to a number. Round half-way cases away from
0.0
.
let f = 3.3_f32; let g = -3.3_f32; assert_eq!(f.round(), 3.0); assert_eq!(g.round(), -3.0);
fn trunc(self) -> f32
1.0.0
Returns the integer part of a number.
let f = 3.3_f32; let g = -3.7_f32; assert_eq!(f.trunc(), 3.0); assert_eq!(g.trunc(), -3.0);
fn fract(self) -> f32
1.0.0
Returns the fractional part of a number.
use std::f32; let x = 3.5_f32; let y = -3.5_f32; let abs_difference_x = (x.fract() - 0.5).abs(); let abs_difference_y = (y.fract() - (-0.5)).abs(); assert!(abs_difference_x <= f32::EPSILON); assert!(abs_difference_y <= f32::EPSILON);
fn abs(self) -> f32
1.0.0
Computes the absolute value of self
. Returns NAN
if the
number is NAN
.
use std::f32; let x = 3.5_f32; let y = -3.5_f32; let abs_difference_x = (x.abs() - x).abs(); let abs_difference_y = (y.abs() - (-y)).abs(); assert!(abs_difference_x <= f32::EPSILON); assert!(abs_difference_y <= f32::EPSILON); assert!(f32::NAN.abs().is_nan());
fn signum(self) -> f32
1.0.0
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 isNAN
use std::f32; let f = 3.5_f32; assert_eq!(f.signum(), 1.0); assert_eq!(f32::NEG_INFINITY.signum(), -1.0); assert!(f32::NAN.signum().is_nan());
fn is_sign_positive(self) -> bool
1.0.0
Returns true
if self
's sign bit is positive, including
+0.0
and INFINITY
.
use std::f32; let nan = f32::NAN; let f = 7.0_f32; let g = -7.0_f32; assert!(f.is_sign_positive()); assert!(!g.is_sign_positive()); // Requires both tests to determine if is `NaN` assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
fn is_sign_negative(self) -> bool
1.0.0
Returns true
if self
's sign is negative, including -0.0
and NEG_INFINITY
.
use std::f32; let nan = f32::NAN; let f = 7.0f32; let g = -7.0f32; assert!(!f.is_sign_negative()); assert!(g.is_sign_negative()); // Requires both tests to determine if is `NaN`. assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
fn mul_add(self, a: f32, b: f32) -> f32
1.0.0
Fused multiply-add. Computes (self * a) + b
with only one rounding
error. This produces a more accurate result with better performance than
a separate multiplication operation followed by an add.
use std::f32; let m = 10.0_f32; let x = 4.0_f32; let b = 60.0_f32; // 100.0 let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs(); assert!(abs_difference <= f32::EPSILON);
fn recip(self) -> f32
1.0.0
Takes the reciprocal (inverse) of a number, 1/x
.
use std::f32; let x = 2.0_f32; let abs_difference = (x.recip() - (1.0/x)).abs(); assert!(abs_difference <= f32::EPSILON);
fn powi(self, n: i32) -> f32
1.0.0
Raises a number to an integer power.
Using this function is generally faster than using powf
use std::f32; let x = 2.0_f32; let abs_difference = (x.powi(2) - x*x).abs(); assert!(abs_difference <= f32::EPSILON);
fn powf(self, n: f32) -> f32
1.0.0
Raises a number to a floating point power.
use std::f32; let x = 2.0_f32; let abs_difference = (x.powf(2.0) - x*x).abs(); assert!(abs_difference <= f32::EPSILON);
fn sqrt(self) -> f32
1.0.0
Takes the square root of a number.
Returns NaN if self
is a negative number.
use std::f32; let positive = 4.0_f32; let negative = -4.0_f32; let abs_difference = (positive.sqrt() - 2.0).abs(); assert!(abs_difference <= f32::EPSILON); assert!(negative.sqrt().is_nan());
fn exp(self) -> f32
1.0.0
Returns e^(self)
, (the exponential function).
use std::f32; let one = 1.0f32; // e^1 let e = one.exp(); // ln(e) - 1 == 0 let abs_difference = (e.ln() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn exp2(self) -> f32
1.0.0
Returns 2^(self)
.
use std::f32; let f = 2.0f32; // 2^2 - 4 == 0 let abs_difference = (f.exp2() - 4.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn ln(self) -> f32
1.0.0
Returns the natural logarithm of the number.
use std::f32; let one = 1.0f32; // e^1 let e = one.exp(); // ln(e) - 1 == 0 let abs_difference = (e.ln() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn log(self, base: f32) -> f32
1.0.0
Returns the logarithm of the number with respect to an arbitrary base.
use std::f32; let ten = 10.0f32; let two = 2.0f32; // log10(10) - 1 == 0 let abs_difference_10 = (ten.log(10.0) - 1.0).abs(); // log2(2) - 1 == 0 let abs_difference_2 = (two.log(2.0) - 1.0).abs(); assert!(abs_difference_10 <= f32::EPSILON); assert!(abs_difference_2 <= f32::EPSILON);
fn log2(self) -> f32
1.0.0
Returns the base 2 logarithm of the number.
use std::f32; let two = 2.0f32; // log2(2) - 1 == 0 let abs_difference = (two.log2() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn log10(self) -> f32
1.0.0
Returns the base 10 logarithm of the number.
use std::f32; let ten = 10.0f32; // log10(10) - 1 == 0 let abs_difference = (ten.log10() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn to_degrees(self) -> f32
1.7.0
Converts radians to degrees.
use std::f32::{self, consts}; let angle = consts::PI; let abs_difference = (angle.to_degrees() - 180.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn to_radians(self) -> f32
1.7.0
Converts degrees to radians.
use std::f32::{self, consts}; let angle = 180.0f32; let abs_difference = (angle.to_radians() - consts::PI).abs(); assert!(abs_difference <= f32::EPSILON);
fn max(self, other: f32) -> f32
1.0.0
Returns the maximum of the two numbers.
let x = 1.0f32; let y = 2.0f32; assert_eq!(x.max(y), y);
If one of the arguments is NaN, then the other argument is returned.
fn min(self, other: f32) -> f32
1.0.0
Returns the minimum of the two numbers.
let x = 1.0f32; let y = 2.0f32; assert_eq!(x.min(y), x);
If one of the arguments is NaN, then the other argument is returned.
fn abs_sub(self, other: f32) -> f32
1.0.0
: you probably meant (self - other).abs()
: this operation is (self - other).max(0.0)
(also known as fdimf
in C). If you truly need the positive difference, consider using that expression or the C function fdimf
, 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
use std::f32; let x = 3.0f32; let y = -3.0f32; 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 <= f32::EPSILON); assert!(abs_difference_y <= f32::EPSILON);
fn cbrt(self) -> f32
1.0.0
Takes the cubic root of a number.
use std::f32; let x = 8.0f32; // x^(1/3) - 2 == 0 let abs_difference = (x.cbrt() - 2.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn hypot(self, other: f32) -> f32
1.0.0
Calculates the length of the hypotenuse of a right-angle triangle given
legs of length x
and y
.
use std::f32; let x = 2.0f32; let y = 3.0f32; // sqrt(x^2 + y^2) let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs(); assert!(abs_difference <= f32::EPSILON);
fn sin(self) -> f32
1.0.0
Computes the sine of a number (in radians).
use std::f32; let x = f32::consts::PI/2.0; let abs_difference = (x.sin() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn cos(self) -> f32
1.0.0
Computes the cosine of a number (in radians).
use std::f32; let x = 2.0*f32::consts::PI; let abs_difference = (x.cos() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn tan(self) -> f32
1.0.0
Computes the tangent of a number (in radians).
use std::f32; let x = f32::consts::PI / 4.0; let abs_difference = (x.tan() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn asin(self) -> f32
1.0.0
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].
use std::f32; let f = f32::consts::PI / 2.0; // asin(sin(pi/2)) let abs_difference = (f.sin().asin() - f32::consts::PI / 2.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn acos(self) -> f32
1.0.0
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].
use std::f32; let f = f32::consts::PI / 4.0; // acos(cos(pi/4)) let abs_difference = (f.cos().acos() - f32::consts::PI / 4.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn atan(self) -> f32
1.0.0
Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];
use std::f32; let f = 1.0f32; // atan(tan(1)) let abs_difference = (f.tan().atan() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn atan2(self, other: f32) -> f32
1.0.0
Computes the four quadrant arctangent of self
(y
) and other
(x
).
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::f32; let pi = f32::consts::PI; // All angles from horizontal right (+x) // 45 deg counter-clockwise let x1 = 3.0f32; let y1 = -3.0f32; // 135 deg clockwise let x2 = -3.0f32; let y2 = 3.0f32; 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 <= f32::EPSILON); assert!(abs_difference_2 <= f32::EPSILON);
fn sin_cos(self) -> (f32, f32)
1.0.0
Simultaneously computes the sine and cosine of the number, x
. Returns
(sin(x), cos(x))
.
use std::f32; let x = f32::consts::PI/4.0; 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 <= f32::EPSILON); assert!(abs_difference_1 <= f32::EPSILON);
fn exp_m1(self) -> f32
1.0.0
Returns e^(self) - 1
in a way that is accurate even if the
number is close to zero.
use std::f32; let x = 6.0f32; // e^(ln(6)) - 1 let abs_difference = (x.ln().exp_m1() - 5.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn ln_1p(self) -> f32
1.0.0
Returns ln(1+n)
(natural logarithm) more accurately than if
the operations were performed separately.
use std::f32; let x = f32::consts::E - 1.0; // ln(1 + (e - 1)) == ln(e) == 1 let abs_difference = (x.ln_1p() - 1.0).abs(); assert!(abs_difference <= f32::EPSILON);
fn sinh(self) -> f32
1.0.0
Hyperbolic sine function.
use std::f32; let e = f32::consts::E; let x = 1.0f32; 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 <= f32::EPSILON);
fn cosh(self) -> f32
1.0.0
Hyperbolic cosine function.
use std::f32; let e = f32::consts::E; let x = 1.0f32; 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 <= f32::EPSILON);
fn tanh(self) -> f32
1.0.0
Hyperbolic tangent function.
use std::f32; let e = f32::consts::E; let x = 1.0f32; 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 <= f32::EPSILON);
fn asinh(self) -> f32
1.0.0
Inverse hyperbolic sine function.
use std::f32; let x = 1.0f32; let f = x.sinh().asinh(); let abs_difference = (f - x).abs(); assert!(abs_difference <= f32::EPSILON);
fn acosh(self) -> f32
1.0.0
Inverse hyperbolic cosine function.
use std::f32; let x = 1.0f32; let f = x.cosh().acosh(); let abs_difference = (f - x).abs(); assert!(abs_difference <= f32::EPSILON);
fn atanh(self) -> f32
1.0.0
Inverse hyperbolic tangent function.
use std::f32; let e = f32::consts::E; let f = e.tanh().atanh(); let abs_difference = (f - e).abs(); assert!(abs_difference <= 1e-5);
fn to_bits(self) -> u32
🔬 This is a nightly-only experimental API. (float_bits_conv
)
recently added
Raw transmutation to u32
.
Converts the f32
into its raw memory representation,
similar to the transmute
function.
Note that this function is distinct from casting.
Examples
#![feature(float_bits_conv)] assert_ne!((1f32).to_bits(), 1f32 as u32); // to_bits() is not casting! assert_eq!((12.5f32).to_bits(), 0x41480000);
Trait Implementations
impl<M> Default for Float<M> where
M: Default + FloatMapping,
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M: Default + FloatMapping,
impl<M> AsRef<f32> for Float<M> where
M: FloatMapping,
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M: FloatMapping,
impl<M> PartialEq<Float<M>> for Float<M> where
M: PartialEq<M> + FloatMapping,
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M: PartialEq<M> + FloatMapping,
impl<M> PartialEq<f32> for Float<M> where
M: FloatMapping,
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M: FloatMapping,
impl<M> Serialize for Float<M> where
M: FloatMapping,
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M: FloatMapping,
fn serialize<S>(
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
S: Serializer,
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
S: Serializer,
Serialize this value into the given Serde serializer. Read more
impl<'de, M> Deserialize<'de> for Float<M> where
M: FloatMapping,
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M: FloatMapping,
fn deserialize<D>(
deserializer: D
) -> Result<Float<M>, <D as Deserializer<'de>>::Error> where
D: Deserializer<'de>,
deserializer: D
) -> Result<Float<M>, <D as Deserializer<'de>>::Error> where
D: Deserializer<'de>,
impl<M> From<f32> for Float<M> where
M: FloatMapping,
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M: FloatMapping,
impl<M> Deref for Float<M> where
M: FloatMapping,
[src]
M: FloatMapping,
type Target = f32
The resulting type after dereferencing
fn deref(&self) -> &f32
The method called to dereference a value
impl<M> FloatFieldType<M> for Float<M> where
M: FloatMapping,
[src]
M: FloatMapping,
impl<M> Debug for Float<M> where
M: Debug + FloatMapping,
[src]
M: Debug + FloatMapping,
fn fmt(&self, __arg_0: &mut Formatter) -> Result<(), Error>
Formats the value using the given formatter.
impl<M> Clone for Float<M> where
M: Clone + FloatMapping,
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M: Clone + FloatMapping,