1 //! This module provides constants which are specific to the implementation
2 //! of the `f32` floating point data type.
4 //! *[See also the `f32` primitive type](../../std/primitive.f32.html).*
6 //! Mathematically significant numbers are provided in the `consts` sub-module.
8 #![stable(feature = "rust1", since = "1.0.0")]
9 #![allow(missing_docs)]
16 #[stable(feature = "rust1", since = "1.0.0")]
17 pub use core::f32::{RADIX, MANTISSA_DIGITS, DIGITS, EPSILON};
18 #[stable(feature = "rust1", since = "1.0.0")]
19 pub use core::f32::{MIN_EXP, MAX_EXP, MIN_10_EXP};
20 #[stable(feature = "rust1", since = "1.0.0")]
21 pub use core::f32::{MAX_10_EXP, NAN, INFINITY, NEG_INFINITY};
22 #[stable(feature = "rust1", since = "1.0.0")]
23 pub use core::f32::{MIN, MIN_POSITIVE, MAX};
24 #[stable(feature = "rust1", since = "1.0.0")]
25 pub use core::f32::consts;
28 #[lang = "f32_runtime"]
30 /// Returns the largest integer less than or equal to a number.
38 /// assert_eq!(f.floor(), 3.0);
39 /// assert_eq!(g.floor(), 3.0);
41 #[stable(feature = "rust1", since = "1.0.0")]
43 pub fn floor(self) -> f32 {
44 // On MSVC LLVM will lower many math intrinsics to a call to the
45 // corresponding function. On MSVC, however, many of these functions
46 // aren't actually available as symbols to call, but rather they are all
47 // `static inline` functions in header files. This means that from a C
48 // perspective it's "compatible", but not so much from an ABI
49 // perspective (which we're worried about).
51 // The inline header functions always just cast to a f64 and do their
52 // operation, so we do that here as well, but only for MSVC targets.
54 // Note that there are many MSVC-specific float operations which
55 // redirect to this comment, so `floorf` is just one case of a missing
56 // function on MSVC, but there are many others elsewhere.
57 #[cfg(target_env = "msvc")]
58 return (self as f64).floor() as f32;
59 #[cfg(not(target_env = "msvc"))]
60 return unsafe { intrinsics::floorf32(self) };
63 /// Returns the smallest integer greater than or equal to a number.
71 /// assert_eq!(f.ceil(), 4.0);
72 /// assert_eq!(g.ceil(), 4.0);
74 #[stable(feature = "rust1", since = "1.0.0")]
76 pub fn ceil(self) -> f32 {
77 // see notes above in `floor`
78 #[cfg(target_env = "msvc")]
79 return (self as f64).ceil() as f32;
80 #[cfg(not(target_env = "msvc"))]
81 return unsafe { intrinsics::ceilf32(self) };
84 /// Returns the nearest integer to a number. Round half-way cases away from
93 /// assert_eq!(f.round(), 3.0);
94 /// assert_eq!(g.round(), -3.0);
96 #[stable(feature = "rust1", since = "1.0.0")]
98 pub fn round(self) -> f32 {
99 unsafe { intrinsics::roundf32(self) }
102 /// Returns the integer part of a number.
108 /// let g = -3.7_f32;
110 /// assert_eq!(f.trunc(), 3.0);
111 /// assert_eq!(g.trunc(), -3.0);
113 #[stable(feature = "rust1", since = "1.0.0")]
115 pub fn trunc(self) -> f32 {
116 unsafe { intrinsics::truncf32(self) }
119 /// Returns the fractional part of a number.
127 /// let y = -3.5_f32;
128 /// let abs_difference_x = (x.fract() - 0.5).abs();
129 /// let abs_difference_y = (y.fract() - (-0.5)).abs();
131 /// assert!(abs_difference_x <= f32::EPSILON);
132 /// assert!(abs_difference_y <= f32::EPSILON);
134 #[stable(feature = "rust1", since = "1.0.0")]
136 pub fn fract(self) -> f32 { self - self.trunc() }
138 /// Computes the absolute value of `self`. Returns `NAN` if the
147 /// let y = -3.5_f32;
149 /// let abs_difference_x = (x.abs() - x).abs();
150 /// let abs_difference_y = (y.abs() - (-y)).abs();
152 /// assert!(abs_difference_x <= f32::EPSILON);
153 /// assert!(abs_difference_y <= f32::EPSILON);
155 /// assert!(f32::NAN.abs().is_nan());
157 #[stable(feature = "rust1", since = "1.0.0")]
159 pub fn abs(self) -> f32 {
160 unsafe { intrinsics::fabsf32(self) }
163 /// Returns a number that represents the sign of `self`.
165 /// - `1.0` if the number is positive, `+0.0` or `INFINITY`
166 /// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
167 /// - `NAN` if the number is `NAN`
176 /// assert_eq!(f.signum(), 1.0);
177 /// assert_eq!(f32::NEG_INFINITY.signum(), -1.0);
179 /// assert!(f32::NAN.signum().is_nan());
181 #[stable(feature = "rust1", since = "1.0.0")]
183 pub fn signum(self) -> f32 {
187 unsafe { intrinsics::copysignf32(1.0, self) }
191 /// Returns a number composed of the magnitude of `self` and the sign of
194 /// Equal to `self` if the sign of `self` and `y` are the same, otherwise
195 /// equal to `-self`. If `self` is a `NAN`, then a `NAN` with the sign of
201 /// #![feature(copysign)]
206 /// assert_eq!(f.copysign(0.42), 3.5_f32);
207 /// assert_eq!(f.copysign(-0.42), -3.5_f32);
208 /// assert_eq!((-f).copysign(0.42), 3.5_f32);
209 /// assert_eq!((-f).copysign(-0.42), -3.5_f32);
211 /// assert!(f32::NAN.copysign(1.0).is_nan());
215 #[unstable(feature="copysign", issue="55169")]
216 pub fn copysign(self, y: f32) -> f32 {
217 unsafe { intrinsics::copysignf32(self, y) }
220 /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
221 /// error, yielding a more accurate result than an unfused multiply-add.
223 /// Using `mul_add` can be more performant than an unfused multiply-add if
224 /// the target architecture has a dedicated `fma` CPU instruction.
231 /// let m = 10.0_f32;
233 /// let b = 60.0_f32;
236 /// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();
238 /// assert!(abs_difference <= f32::EPSILON);
240 #[stable(feature = "rust1", since = "1.0.0")]
242 pub fn mul_add(self, a: f32, b: f32) -> f32 {
243 unsafe { intrinsics::fmaf32(self, a, b) }
246 /// Calculates Euclidean division, the matching method for `rem_euclid`.
248 /// This computes the integer `n` such that
249 /// `self = n * rhs + self.rem_euclid(rhs)`.
250 /// In other words, the result is `self / rhs` rounded to the integer `n`
251 /// such that `self >= n * rhs`.
256 /// #![feature(euclidean_division)]
257 /// let a: f32 = 7.0;
259 /// assert_eq!(a.div_euclid(b), 1.0); // 7.0 > 4.0 * 1.0
260 /// assert_eq!((-a).div_euclid(b), -2.0); // -7.0 >= 4.0 * -2.0
261 /// assert_eq!(a.div_euclid(-b), -1.0); // 7.0 >= -4.0 * -1.0
262 /// assert_eq!((-a).div_euclid(-b), 2.0); // -7.0 >= -4.0 * 2.0
265 #[unstable(feature = "euclidean_division", issue = "49048")]
266 pub fn div_euclid(self, rhs: f32) -> f32 {
267 let q = (self / rhs).trunc();
268 if self % rhs < 0.0 {
269 return if rhs > 0.0 { q - 1.0 } else { q + 1.0 }
274 /// Calculates the least nonnegative remainder of `self (mod rhs)`.
276 /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in
277 /// most cases. However, due to a floating point round-off error it can
278 /// result in `r == rhs.abs()`, violating the mathematical definition, if
279 /// `self` is much smaller than `rhs.abs()` in magnitude and `self < 0.0`.
280 /// This result is not an element of the function's codomain, but it is the
281 /// closest floating point number in the real numbers and thus fulfills the
282 /// property `self == self.div_euclid(rhs) * rhs + self.rem_euclid(rhs)`
288 /// #![feature(euclidean_division)]
289 /// let a: f32 = 7.0;
291 /// assert_eq!(a.rem_euclid(b), 3.0);
292 /// assert_eq!((-a).rem_euclid(b), 1.0);
293 /// assert_eq!(a.rem_euclid(-b), 3.0);
294 /// assert_eq!((-a).rem_euclid(-b), 1.0);
295 /// // limitation due to round-off error
296 /// assert!((-std::f32::EPSILON).rem_euclid(3.0) != 0.0);
299 #[unstable(feature = "euclidean_division", issue = "49048")]
300 pub fn rem_euclid(self, rhs: f32) -> f32 {
310 /// Raises a number to an integer power.
312 /// Using this function is generally faster than using `powf`
320 /// let abs_difference = (x.powi(2) - x*x).abs();
322 /// assert!(abs_difference <= f32::EPSILON);
324 #[stable(feature = "rust1", since = "1.0.0")]
326 pub fn powi(self, n: i32) -> f32 {
327 unsafe { intrinsics::powif32(self, n) }
330 /// Raises a number to a floating point power.
338 /// let abs_difference = (x.powf(2.0) - x*x).abs();
340 /// assert!(abs_difference <= f32::EPSILON);
342 #[stable(feature = "rust1", since = "1.0.0")]
344 pub fn powf(self, n: f32) -> f32 {
345 // see notes above in `floor`
346 #[cfg(target_env = "msvc")]
347 return (self as f64).powf(n as f64) as f32;
348 #[cfg(not(target_env = "msvc"))]
349 return unsafe { intrinsics::powf32(self, n) };
352 /// Takes the square root of a number.
354 /// Returns NaN if `self` is a negative number.
361 /// let positive = 4.0_f32;
362 /// let negative = -4.0_f32;
364 /// let abs_difference = (positive.sqrt() - 2.0).abs();
366 /// assert!(abs_difference <= f32::EPSILON);
367 /// assert!(negative.sqrt().is_nan());
369 #[stable(feature = "rust1", since = "1.0.0")]
371 pub fn sqrt(self) -> f32 {
375 unsafe { intrinsics::sqrtf32(self) }
379 /// Returns `e^(self)`, (the exponential function).
386 /// let one = 1.0f32;
388 /// let e = one.exp();
390 /// // ln(e) - 1 == 0
391 /// let abs_difference = (e.ln() - 1.0).abs();
393 /// assert!(abs_difference <= f32::EPSILON);
395 #[stable(feature = "rust1", since = "1.0.0")]
397 pub fn exp(self) -> f32 {
398 // see notes above in `floor`
399 #[cfg(target_env = "msvc")]
400 return (self as f64).exp() as f32;
401 #[cfg(not(target_env = "msvc"))]
402 return unsafe { intrinsics::expf32(self) };
405 /// Returns `2^(self)`.
415 /// let abs_difference = (f.exp2() - 4.0).abs();
417 /// assert!(abs_difference <= f32::EPSILON);
419 #[stable(feature = "rust1", since = "1.0.0")]
421 pub fn exp2(self) -> f32 {
422 unsafe { intrinsics::exp2f32(self) }
425 /// Returns the natural logarithm of the number.
432 /// let one = 1.0f32;
434 /// let e = one.exp();
436 /// // ln(e) - 1 == 0
437 /// let abs_difference = (e.ln() - 1.0).abs();
439 /// assert!(abs_difference <= f32::EPSILON);
441 #[stable(feature = "rust1", since = "1.0.0")]
443 pub fn ln(self) -> f32 {
444 // see notes above in `floor`
445 #[cfg(target_env = "msvc")]
446 return (self as f64).ln() as f32;
447 #[cfg(not(target_env = "msvc"))]
448 return unsafe { intrinsics::logf32(self) };
451 /// Returns the logarithm of the number with respect to an arbitrary base.
453 /// The result may not be correctly rounded owing to implementation details;
454 /// `self.log2()` can produce more accurate results for base 2, and
455 /// `self.log10()` can produce more accurate results for base 10.
462 /// let five = 5.0f32;
464 /// // log5(5) - 1 == 0
465 /// let abs_difference = (five.log(5.0) - 1.0).abs();
467 /// assert!(abs_difference <= f32::EPSILON);
469 #[stable(feature = "rust1", since = "1.0.0")]
471 pub fn log(self, base: f32) -> f32 { self.ln() / base.ln() }
473 /// Returns the base 2 logarithm of the number.
480 /// let two = 2.0f32;
482 /// // log2(2) - 1 == 0
483 /// let abs_difference = (two.log2() - 1.0).abs();
485 /// assert!(abs_difference <= f32::EPSILON);
487 #[stable(feature = "rust1", since = "1.0.0")]
489 pub fn log2(self) -> f32 {
490 #[cfg(target_os = "android")]
491 return ::sys::android::log2f32(self);
492 #[cfg(not(target_os = "android"))]
493 return unsafe { intrinsics::log2f32(self) };
496 /// Returns the base 10 logarithm of the number.
503 /// let ten = 10.0f32;
505 /// // log10(10) - 1 == 0
506 /// let abs_difference = (ten.log10() - 1.0).abs();
508 /// assert!(abs_difference <= f32::EPSILON);
510 #[stable(feature = "rust1", since = "1.0.0")]
512 pub fn log10(self) -> f32 {
513 // see notes above in `floor`
514 #[cfg(target_env = "msvc")]
515 return (self as f64).log10() as f32;
516 #[cfg(not(target_env = "msvc"))]
517 return unsafe { intrinsics::log10f32(self) };
520 /// The positive difference of two numbers.
522 /// * If `self <= other`: `0:0`
523 /// * Else: `self - other`
533 /// let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();
534 /// let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();
536 /// assert!(abs_difference_x <= f32::EPSILON);
537 /// assert!(abs_difference_y <= f32::EPSILON);
539 #[stable(feature = "rust1", since = "1.0.0")]
541 #[rustc_deprecated(since = "1.10.0",
542 reason = "you probably meant `(self - other).abs()`: \
543 this operation is `(self - other).max(0.0)` \
544 except that `abs_sub` also propagates NaNs (also \
545 known as `fdimf` in C). If you truly need the positive \
546 difference, consider using that expression or the C function \
547 `fdimf`, depending on how you wish to handle NaN (please consider \
548 filing an issue describing your use-case too).")]
549 pub fn abs_sub(self, other: f32) -> f32 {
550 unsafe { cmath::fdimf(self, other) }
553 /// Takes the cubic root of a number.
562 /// // x^(1/3) - 2 == 0
563 /// let abs_difference = (x.cbrt() - 2.0).abs();
565 /// assert!(abs_difference <= f32::EPSILON);
567 #[stable(feature = "rust1", since = "1.0.0")]
569 pub fn cbrt(self) -> f32 {
570 unsafe { cmath::cbrtf(self) }
573 /// Calculates the length of the hypotenuse of a right-angle triangle given
574 /// legs of length `x` and `y`.
584 /// // sqrt(x^2 + y^2)
585 /// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();
587 /// assert!(abs_difference <= f32::EPSILON);
589 #[stable(feature = "rust1", since = "1.0.0")]
591 pub fn hypot(self, other: f32) -> f32 {
592 unsafe { cmath::hypotf(self, other) }
595 /// Computes the sine of a number (in radians).
602 /// let x = f32::consts::PI/2.0;
604 /// let abs_difference = (x.sin() - 1.0).abs();
606 /// assert!(abs_difference <= f32::EPSILON);
608 #[stable(feature = "rust1", since = "1.0.0")]
610 pub fn sin(self) -> f32 {
611 // see notes in `core::f32::Float::floor`
612 #[cfg(target_env = "msvc")]
613 return (self as f64).sin() as f32;
614 #[cfg(not(target_env = "msvc"))]
615 return unsafe { intrinsics::sinf32(self) };
618 /// Computes the cosine of a number (in radians).
625 /// let x = 2.0*f32::consts::PI;
627 /// let abs_difference = (x.cos() - 1.0).abs();
629 /// assert!(abs_difference <= f32::EPSILON);
631 #[stable(feature = "rust1", since = "1.0.0")]
633 pub fn cos(self) -> f32 {
634 // see notes in `core::f32::Float::floor`
635 #[cfg(target_env = "msvc")]
636 return (self as f64).cos() as f32;
637 #[cfg(not(target_env = "msvc"))]
638 return unsafe { intrinsics::cosf32(self) };
641 /// Computes the tangent of a number (in radians).
648 /// let x = f32::consts::PI / 4.0;
649 /// let abs_difference = (x.tan() - 1.0).abs();
651 /// assert!(abs_difference <= f32::EPSILON);
653 #[stable(feature = "rust1", since = "1.0.0")]
655 pub fn tan(self) -> f32 {
656 unsafe { cmath::tanf(self) }
659 /// Computes the arcsine of a number. Return value is in radians in
660 /// the range [-pi/2, pi/2] or NaN if the number is outside the range
668 /// let f = f32::consts::PI / 2.0;
670 /// // asin(sin(pi/2))
671 /// let abs_difference = (f.sin().asin() - f32::consts::PI / 2.0).abs();
673 /// assert!(abs_difference <= f32::EPSILON);
675 #[stable(feature = "rust1", since = "1.0.0")]
677 pub fn asin(self) -> f32 {
678 unsafe { cmath::asinf(self) }
681 /// Computes the arccosine of a number. Return value is in radians in
682 /// the range [0, pi] or NaN if the number is outside the range
690 /// let f = f32::consts::PI / 4.0;
692 /// // acos(cos(pi/4))
693 /// let abs_difference = (f.cos().acos() - f32::consts::PI / 4.0).abs();
695 /// assert!(abs_difference <= f32::EPSILON);
697 #[stable(feature = "rust1", since = "1.0.0")]
699 pub fn acos(self) -> f32 {
700 unsafe { cmath::acosf(self) }
703 /// Computes the arctangent of a number. Return value is in radians in the
704 /// range [-pi/2, pi/2];
714 /// let abs_difference = (f.tan().atan() - 1.0).abs();
716 /// assert!(abs_difference <= f32::EPSILON);
718 #[stable(feature = "rust1", since = "1.0.0")]
720 pub fn atan(self) -> f32 {
721 unsafe { cmath::atanf(self) }
724 /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians.
726 /// * `x = 0`, `y = 0`: `0`
727 /// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]`
728 /// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]`
729 /// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)`
736 /// let pi = f32::consts::PI;
737 /// // Positive angles measured counter-clockwise
738 /// // from positive x axis
739 /// // -pi/4 radians (45 deg clockwise)
741 /// let y1 = -3.0f32;
743 /// // 3pi/4 radians (135 deg counter-clockwise)
744 /// let x2 = -3.0f32;
747 /// let abs_difference_1 = (y1.atan2(x1) - (-pi/4.0)).abs();
748 /// let abs_difference_2 = (y2.atan2(x2) - 3.0*pi/4.0).abs();
750 /// assert!(abs_difference_1 <= f32::EPSILON);
751 /// assert!(abs_difference_2 <= f32::EPSILON);
753 #[stable(feature = "rust1", since = "1.0.0")]
755 pub fn atan2(self, other: f32) -> f32 {
756 unsafe { cmath::atan2f(self, other) }
759 /// Simultaneously computes the sine and cosine of the number, `x`. Returns
760 /// `(sin(x), cos(x))`.
767 /// let x = f32::consts::PI/4.0;
768 /// let f = x.sin_cos();
770 /// let abs_difference_0 = (f.0 - x.sin()).abs();
771 /// let abs_difference_1 = (f.1 - x.cos()).abs();
773 /// assert!(abs_difference_0 <= f32::EPSILON);
774 /// assert!(abs_difference_1 <= f32::EPSILON);
776 #[stable(feature = "rust1", since = "1.0.0")]
778 pub fn sin_cos(self) -> (f32, f32) {
779 (self.sin(), self.cos())
782 /// Returns `e^(self) - 1` in a way that is accurate even if the
783 /// number is close to zero.
793 /// let abs_difference = (x.ln().exp_m1() - 5.0).abs();
795 /// assert!(abs_difference <= f32::EPSILON);
797 #[stable(feature = "rust1", since = "1.0.0")]
799 pub fn exp_m1(self) -> f32 {
800 unsafe { cmath::expm1f(self) }
803 /// Returns `ln(1+n)` (natural logarithm) more accurately than if
804 /// the operations were performed separately.
811 /// let x = f32::consts::E - 1.0;
813 /// // ln(1 + (e - 1)) == ln(e) == 1
814 /// let abs_difference = (x.ln_1p() - 1.0).abs();
816 /// assert!(abs_difference <= f32::EPSILON);
818 #[stable(feature = "rust1", since = "1.0.0")]
820 pub fn ln_1p(self) -> f32 {
821 unsafe { cmath::log1pf(self) }
824 /// Hyperbolic sine function.
831 /// let e = f32::consts::E;
834 /// let f = x.sinh();
835 /// // Solving sinh() at 1 gives `(e^2-1)/(2e)`
836 /// let g = (e*e - 1.0)/(2.0*e);
837 /// let abs_difference = (f - g).abs();
839 /// assert!(abs_difference <= f32::EPSILON);
841 #[stable(feature = "rust1", since = "1.0.0")]
843 pub fn sinh(self) -> f32 {
844 unsafe { cmath::sinhf(self) }
847 /// Hyperbolic cosine function.
854 /// let e = f32::consts::E;
856 /// let f = x.cosh();
857 /// // Solving cosh() at 1 gives this result
858 /// let g = (e*e + 1.0)/(2.0*e);
859 /// let abs_difference = (f - g).abs();
862 /// assert!(abs_difference <= f32::EPSILON);
864 #[stable(feature = "rust1", since = "1.0.0")]
866 pub fn cosh(self) -> f32 {
867 unsafe { cmath::coshf(self) }
870 /// Hyperbolic tangent function.
877 /// let e = f32::consts::E;
880 /// let f = x.tanh();
881 /// // Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))`
882 /// let g = (1.0 - e.powi(-2))/(1.0 + e.powi(-2));
883 /// let abs_difference = (f - g).abs();
885 /// assert!(abs_difference <= f32::EPSILON);
887 #[stable(feature = "rust1", since = "1.0.0")]
889 pub fn tanh(self) -> f32 {
890 unsafe { cmath::tanhf(self) }
893 /// Inverse hyperbolic sine function.
901 /// let f = x.sinh().asinh();
903 /// let abs_difference = (f - x).abs();
905 /// assert!(abs_difference <= f32::EPSILON);
907 #[stable(feature = "rust1", since = "1.0.0")]
909 pub fn asinh(self) -> f32 {
910 if self == NEG_INFINITY {
913 (self + ((self * self) + 1.0).sqrt()).ln()
917 /// Inverse hyperbolic cosine function.
925 /// let f = x.cosh().acosh();
927 /// let abs_difference = (f - x).abs();
929 /// assert!(abs_difference <= f32::EPSILON);
931 #[stable(feature = "rust1", since = "1.0.0")]
933 pub fn acosh(self) -> f32 {
935 x if x < 1.0 => ::f32::NAN,
936 x => (x + ((x * x) - 1.0).sqrt()).ln(),
940 /// Inverse hyperbolic tangent function.
947 /// let e = f32::consts::E;
948 /// let f = e.tanh().atanh();
950 /// let abs_difference = (f - e).abs();
952 /// assert!(abs_difference <= 1e-5);
954 #[stable(feature = "rust1", since = "1.0.0")]
956 pub fn atanh(self) -> f32 {
957 0.5 * ((2.0 * self) / (1.0 - self)).ln_1p()
966 use num::FpCategory as Fp;
970 test_num(10f32, 2f32);
975 assert_eq!(NAN.min(2.0), 2.0);
976 assert_eq!(2.0f32.min(NAN), 2.0);
981 assert_eq!(NAN.max(2.0), 2.0);
982 assert_eq!(2.0f32.max(NAN), 2.0);
987 let nan: f32 = f32::NAN;
988 assert!(nan.is_nan());
989 assert!(!nan.is_infinite());
990 assert!(!nan.is_finite());
991 assert!(!nan.is_normal());
992 assert!(nan.is_sign_positive());
993 assert!(!nan.is_sign_negative());
994 assert_eq!(Fp::Nan, nan.classify());
999 let inf: f32 = f32::INFINITY;
1000 assert!(inf.is_infinite());
1001 assert!(!inf.is_finite());
1002 assert!(inf.is_sign_positive());
1003 assert!(!inf.is_sign_negative());
1004 assert!(!inf.is_nan());
1005 assert!(!inf.is_normal());
1006 assert_eq!(Fp::Infinite, inf.classify());
1010 fn test_neg_infinity() {
1011 let neg_inf: f32 = f32::NEG_INFINITY;
1012 assert!(neg_inf.is_infinite());
1013 assert!(!neg_inf.is_finite());
1014 assert!(!neg_inf.is_sign_positive());
1015 assert!(neg_inf.is_sign_negative());
1016 assert!(!neg_inf.is_nan());
1017 assert!(!neg_inf.is_normal());
1018 assert_eq!(Fp::Infinite, neg_inf.classify());
1023 let zero: f32 = 0.0f32;
1024 assert_eq!(0.0, zero);
1025 assert!(!zero.is_infinite());
1026 assert!(zero.is_finite());
1027 assert!(zero.is_sign_positive());
1028 assert!(!zero.is_sign_negative());
1029 assert!(!zero.is_nan());
1030 assert!(!zero.is_normal());
1031 assert_eq!(Fp::Zero, zero.classify());
1035 fn test_neg_zero() {
1036 let neg_zero: f32 = -0.0;
1037 assert_eq!(0.0, neg_zero);
1038 assert!(!neg_zero.is_infinite());
1039 assert!(neg_zero.is_finite());
1040 assert!(!neg_zero.is_sign_positive());
1041 assert!(neg_zero.is_sign_negative());
1042 assert!(!neg_zero.is_nan());
1043 assert!(!neg_zero.is_normal());
1044 assert_eq!(Fp::Zero, neg_zero.classify());
1049 let one: f32 = 1.0f32;
1050 assert_eq!(1.0, one);
1051 assert!(!one.is_infinite());
1052 assert!(one.is_finite());
1053 assert!(one.is_sign_positive());
1054 assert!(!one.is_sign_negative());
1055 assert!(!one.is_nan());
1056 assert!(one.is_normal());
1057 assert_eq!(Fp::Normal, one.classify());
1062 let nan: f32 = f32::NAN;
1063 let inf: f32 = f32::INFINITY;
1064 let neg_inf: f32 = f32::NEG_INFINITY;
1065 assert!(nan.is_nan());
1066 assert!(!0.0f32.is_nan());
1067 assert!(!5.3f32.is_nan());
1068 assert!(!(-10.732f32).is_nan());
1069 assert!(!inf.is_nan());
1070 assert!(!neg_inf.is_nan());
1074 fn test_is_infinite() {
1075 let nan: f32 = f32::NAN;
1076 let inf: f32 = f32::INFINITY;
1077 let neg_inf: f32 = f32::NEG_INFINITY;
1078 assert!(!nan.is_infinite());
1079 assert!(inf.is_infinite());
1080 assert!(neg_inf.is_infinite());
1081 assert!(!0.0f32.is_infinite());
1082 assert!(!42.8f32.is_infinite());
1083 assert!(!(-109.2f32).is_infinite());
1087 fn test_is_finite() {
1088 let nan: f32 = f32::NAN;
1089 let inf: f32 = f32::INFINITY;
1090 let neg_inf: f32 = f32::NEG_INFINITY;
1091 assert!(!nan.is_finite());
1092 assert!(!inf.is_finite());
1093 assert!(!neg_inf.is_finite());
1094 assert!(0.0f32.is_finite());
1095 assert!(42.8f32.is_finite());
1096 assert!((-109.2f32).is_finite());
1100 fn test_is_normal() {
1101 let nan: f32 = f32::NAN;
1102 let inf: f32 = f32::INFINITY;
1103 let neg_inf: f32 = f32::NEG_INFINITY;
1104 let zero: f32 = 0.0f32;
1105 let neg_zero: f32 = -0.0;
1106 assert!(!nan.is_normal());
1107 assert!(!inf.is_normal());
1108 assert!(!neg_inf.is_normal());
1109 assert!(!zero.is_normal());
1110 assert!(!neg_zero.is_normal());
1111 assert!(1f32.is_normal());
1112 assert!(1e-37f32.is_normal());
1113 assert!(!1e-38f32.is_normal());
1117 fn test_classify() {
1118 let nan: f32 = f32::NAN;
1119 let inf: f32 = f32::INFINITY;
1120 let neg_inf: f32 = f32::NEG_INFINITY;
1121 let zero: f32 = 0.0f32;
1122 let neg_zero: f32 = -0.0;
1123 assert_eq!(nan.classify(), Fp::Nan);
1124 assert_eq!(inf.classify(), Fp::Infinite);
1125 assert_eq!(neg_inf.classify(), Fp::Infinite);
1126 assert_eq!(zero.classify(), Fp::Zero);
1127 assert_eq!(neg_zero.classify(), Fp::Zero);
1128 assert_eq!(1f32.classify(), Fp::Normal);
1129 assert_eq!(1e-37f32.classify(), Fp::Normal);
1130 assert_eq!(1e-38f32.classify(), Fp::Subnormal);
1135 assert_approx_eq!(1.0f32.floor(), 1.0f32);
1136 assert_approx_eq!(1.3f32.floor(), 1.0f32);
1137 assert_approx_eq!(1.5f32.floor(), 1.0f32);
1138 assert_approx_eq!(1.7f32.floor(), 1.0f32);
1139 assert_approx_eq!(0.0f32.floor(), 0.0f32);
1140 assert_approx_eq!((-0.0f32).floor(), -0.0f32);
1141 assert_approx_eq!((-1.0f32).floor(), -1.0f32);
1142 assert_approx_eq!((-1.3f32).floor(), -2.0f32);
1143 assert_approx_eq!((-1.5f32).floor(), -2.0f32);
1144 assert_approx_eq!((-1.7f32).floor(), -2.0f32);
1149 assert_approx_eq!(1.0f32.ceil(), 1.0f32);
1150 assert_approx_eq!(1.3f32.ceil(), 2.0f32);
1151 assert_approx_eq!(1.5f32.ceil(), 2.0f32);
1152 assert_approx_eq!(1.7f32.ceil(), 2.0f32);
1153 assert_approx_eq!(0.0f32.ceil(), 0.0f32);
1154 assert_approx_eq!((-0.0f32).ceil(), -0.0f32);
1155 assert_approx_eq!((-1.0f32).ceil(), -1.0f32);
1156 assert_approx_eq!((-1.3f32).ceil(), -1.0f32);
1157 assert_approx_eq!((-1.5f32).ceil(), -1.0f32);
1158 assert_approx_eq!((-1.7f32).ceil(), -1.0f32);
1163 assert_approx_eq!(1.0f32.round(), 1.0f32);
1164 assert_approx_eq!(1.3f32.round(), 1.0f32);
1165 assert_approx_eq!(1.5f32.round(), 2.0f32);
1166 assert_approx_eq!(1.7f32.round(), 2.0f32);
1167 assert_approx_eq!(0.0f32.round(), 0.0f32);
1168 assert_approx_eq!((-0.0f32).round(), -0.0f32);
1169 assert_approx_eq!((-1.0f32).round(), -1.0f32);
1170 assert_approx_eq!((-1.3f32).round(), -1.0f32);
1171 assert_approx_eq!((-1.5f32).round(), -2.0f32);
1172 assert_approx_eq!((-1.7f32).round(), -2.0f32);
1177 assert_approx_eq!(1.0f32.trunc(), 1.0f32);
1178 assert_approx_eq!(1.3f32.trunc(), 1.0f32);
1179 assert_approx_eq!(1.5f32.trunc(), 1.0f32);
1180 assert_approx_eq!(1.7f32.trunc(), 1.0f32);
1181 assert_approx_eq!(0.0f32.trunc(), 0.0f32);
1182 assert_approx_eq!((-0.0f32).trunc(), -0.0f32);
1183 assert_approx_eq!((-1.0f32).trunc(), -1.0f32);
1184 assert_approx_eq!((-1.3f32).trunc(), -1.0f32);
1185 assert_approx_eq!((-1.5f32).trunc(), -1.0f32);
1186 assert_approx_eq!((-1.7f32).trunc(), -1.0f32);
1191 assert_approx_eq!(1.0f32.fract(), 0.0f32);
1192 assert_approx_eq!(1.3f32.fract(), 0.3f32);
1193 assert_approx_eq!(1.5f32.fract(), 0.5f32);
1194 assert_approx_eq!(1.7f32.fract(), 0.7f32);
1195 assert_approx_eq!(0.0f32.fract(), 0.0f32);
1196 assert_approx_eq!((-0.0f32).fract(), -0.0f32);
1197 assert_approx_eq!((-1.0f32).fract(), -0.0f32);
1198 assert_approx_eq!((-1.3f32).fract(), -0.3f32);
1199 assert_approx_eq!((-1.5f32).fract(), -0.5f32);
1200 assert_approx_eq!((-1.7f32).fract(), -0.7f32);
1205 assert_eq!(INFINITY.abs(), INFINITY);
1206 assert_eq!(1f32.abs(), 1f32);
1207 assert_eq!(0f32.abs(), 0f32);
1208 assert_eq!((-0f32).abs(), 0f32);
1209 assert_eq!((-1f32).abs(), 1f32);
1210 assert_eq!(NEG_INFINITY.abs(), INFINITY);
1211 assert_eq!((1f32/NEG_INFINITY).abs(), 0f32);
1212 assert!(NAN.abs().is_nan());
1217 assert_eq!(INFINITY.signum(), 1f32);
1218 assert_eq!(1f32.signum(), 1f32);
1219 assert_eq!(0f32.signum(), 1f32);
1220 assert_eq!((-0f32).signum(), -1f32);
1221 assert_eq!((-1f32).signum(), -1f32);
1222 assert_eq!(NEG_INFINITY.signum(), -1f32);
1223 assert_eq!((1f32/NEG_INFINITY).signum(), -1f32);
1224 assert!(NAN.signum().is_nan());
1228 fn test_is_sign_positive() {
1229 assert!(INFINITY.is_sign_positive());
1230 assert!(1f32.is_sign_positive());
1231 assert!(0f32.is_sign_positive());
1232 assert!(!(-0f32).is_sign_positive());
1233 assert!(!(-1f32).is_sign_positive());
1234 assert!(!NEG_INFINITY.is_sign_positive());
1235 assert!(!(1f32/NEG_INFINITY).is_sign_positive());
1236 assert!(NAN.is_sign_positive());
1237 assert!(!(-NAN).is_sign_positive());
1241 fn test_is_sign_negative() {
1242 assert!(!INFINITY.is_sign_negative());
1243 assert!(!1f32.is_sign_negative());
1244 assert!(!0f32.is_sign_negative());
1245 assert!((-0f32).is_sign_negative());
1246 assert!((-1f32).is_sign_negative());
1247 assert!(NEG_INFINITY.is_sign_negative());
1248 assert!((1f32/NEG_INFINITY).is_sign_negative());
1249 assert!(!NAN.is_sign_negative());
1250 assert!((-NAN).is_sign_negative());
1255 let nan: f32 = f32::NAN;
1256 let inf: f32 = f32::INFINITY;
1257 let neg_inf: f32 = f32::NEG_INFINITY;
1258 assert_approx_eq!(12.3f32.mul_add(4.5, 6.7), 62.05);
1259 assert_approx_eq!((-12.3f32).mul_add(-4.5, -6.7), 48.65);
1260 assert_approx_eq!(0.0f32.mul_add(8.9, 1.2), 1.2);
1261 assert_approx_eq!(3.4f32.mul_add(-0.0, 5.6), 5.6);
1262 assert!(nan.mul_add(7.8, 9.0).is_nan());
1263 assert_eq!(inf.mul_add(7.8, 9.0), inf);
1264 assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
1265 assert_eq!(8.9f32.mul_add(inf, 3.2), inf);
1266 assert_eq!((-3.2f32).mul_add(2.4, neg_inf), neg_inf);
1271 let nan: f32 = f32::NAN;
1272 let inf: f32 = f32::INFINITY;
1273 let neg_inf: f32 = f32::NEG_INFINITY;
1274 assert_eq!(1.0f32.recip(), 1.0);
1275 assert_eq!(2.0f32.recip(), 0.5);
1276 assert_eq!((-0.4f32).recip(), -2.5);
1277 assert_eq!(0.0f32.recip(), inf);
1278 assert!(nan.recip().is_nan());
1279 assert_eq!(inf.recip(), 0.0);
1280 assert_eq!(neg_inf.recip(), 0.0);
1285 let nan: f32 = f32::NAN;
1286 let inf: f32 = f32::INFINITY;
1287 let neg_inf: f32 = f32::NEG_INFINITY;
1288 assert_eq!(1.0f32.powi(1), 1.0);
1289 assert_approx_eq!((-3.1f32).powi(2), 9.61);
1290 assert_approx_eq!(5.9f32.powi(-2), 0.028727);
1291 assert_eq!(8.3f32.powi(0), 1.0);
1292 assert!(nan.powi(2).is_nan());
1293 assert_eq!(inf.powi(3), inf);
1294 assert_eq!(neg_inf.powi(2), inf);
1299 let nan: f32 = f32::NAN;
1300 let inf: f32 = f32::INFINITY;
1301 let neg_inf: f32 = f32::NEG_INFINITY;
1302 assert_eq!(1.0f32.powf(1.0), 1.0);
1303 assert_approx_eq!(3.4f32.powf(4.5), 246.408218);
1304 assert_approx_eq!(2.7f32.powf(-3.2), 0.041652);
1305 assert_approx_eq!((-3.1f32).powf(2.0), 9.61);
1306 assert_approx_eq!(5.9f32.powf(-2.0), 0.028727);
1307 assert_eq!(8.3f32.powf(0.0), 1.0);
1308 assert!(nan.powf(2.0).is_nan());
1309 assert_eq!(inf.powf(2.0), inf);
1310 assert_eq!(neg_inf.powf(3.0), neg_inf);
1314 fn test_sqrt_domain() {
1315 assert!(NAN.sqrt().is_nan());
1316 assert!(NEG_INFINITY.sqrt().is_nan());
1317 assert!((-1.0f32).sqrt().is_nan());
1318 assert_eq!((-0.0f32).sqrt(), -0.0);
1319 assert_eq!(0.0f32.sqrt(), 0.0);
1320 assert_eq!(1.0f32.sqrt(), 1.0);
1321 assert_eq!(INFINITY.sqrt(), INFINITY);
1326 assert_eq!(1.0, 0.0f32.exp());
1327 assert_approx_eq!(2.718282, 1.0f32.exp());
1328 assert_approx_eq!(148.413162, 5.0f32.exp());
1330 let inf: f32 = f32::INFINITY;
1331 let neg_inf: f32 = f32::NEG_INFINITY;
1332 let nan: f32 = f32::NAN;
1333 assert_eq!(inf, inf.exp());
1334 assert_eq!(0.0, neg_inf.exp());
1335 assert!(nan.exp().is_nan());
1340 assert_eq!(32.0, 5.0f32.exp2());
1341 assert_eq!(1.0, 0.0f32.exp2());
1343 let inf: f32 = f32::INFINITY;
1344 let neg_inf: f32 = f32::NEG_INFINITY;
1345 let nan: f32 = f32::NAN;
1346 assert_eq!(inf, inf.exp2());
1347 assert_eq!(0.0, neg_inf.exp2());
1348 assert!(nan.exp2().is_nan());
1353 let nan: f32 = f32::NAN;
1354 let inf: f32 = f32::INFINITY;
1355 let neg_inf: f32 = f32::NEG_INFINITY;
1356 assert_approx_eq!(1.0f32.exp().ln(), 1.0);
1357 assert!(nan.ln().is_nan());
1358 assert_eq!(inf.ln(), inf);
1359 assert!(neg_inf.ln().is_nan());
1360 assert!((-2.3f32).ln().is_nan());
1361 assert_eq!((-0.0f32).ln(), neg_inf);
1362 assert_eq!(0.0f32.ln(), neg_inf);
1363 assert_approx_eq!(4.0f32.ln(), 1.386294);
1368 let nan: f32 = f32::NAN;
1369 let inf: f32 = f32::INFINITY;
1370 let neg_inf: f32 = f32::NEG_INFINITY;
1371 assert_eq!(10.0f32.log(10.0), 1.0);
1372 assert_approx_eq!(2.3f32.log(3.5), 0.664858);
1373 assert_eq!(1.0f32.exp().log(1.0f32.exp()), 1.0);
1374 assert!(1.0f32.log(1.0).is_nan());
1375 assert!(1.0f32.log(-13.9).is_nan());
1376 assert!(nan.log(2.3).is_nan());
1377 assert_eq!(inf.log(10.0), inf);
1378 assert!(neg_inf.log(8.8).is_nan());
1379 assert!((-2.3f32).log(0.1).is_nan());
1380 assert_eq!((-0.0f32).log(2.0), neg_inf);
1381 assert_eq!(0.0f32.log(7.0), neg_inf);
1386 let nan: f32 = f32::NAN;
1387 let inf: f32 = f32::INFINITY;
1388 let neg_inf: f32 = f32::NEG_INFINITY;
1389 assert_approx_eq!(10.0f32.log2(), 3.321928);
1390 assert_approx_eq!(2.3f32.log2(), 1.201634);
1391 assert_approx_eq!(1.0f32.exp().log2(), 1.442695);
1392 assert!(nan.log2().is_nan());
1393 assert_eq!(inf.log2(), inf);
1394 assert!(neg_inf.log2().is_nan());
1395 assert!((-2.3f32).log2().is_nan());
1396 assert_eq!((-0.0f32).log2(), neg_inf);
1397 assert_eq!(0.0f32.log2(), neg_inf);
1402 let nan: f32 = f32::NAN;
1403 let inf: f32 = f32::INFINITY;
1404 let neg_inf: f32 = f32::NEG_INFINITY;
1405 assert_eq!(10.0f32.log10(), 1.0);
1406 assert_approx_eq!(2.3f32.log10(), 0.361728);
1407 assert_approx_eq!(1.0f32.exp().log10(), 0.434294);
1408 assert_eq!(1.0f32.log10(), 0.0);
1409 assert!(nan.log10().is_nan());
1410 assert_eq!(inf.log10(), inf);
1411 assert!(neg_inf.log10().is_nan());
1412 assert!((-2.3f32).log10().is_nan());
1413 assert_eq!((-0.0f32).log10(), neg_inf);
1414 assert_eq!(0.0f32.log10(), neg_inf);
1418 fn test_to_degrees() {
1419 let pi: f32 = consts::PI;
1420 let nan: f32 = f32::NAN;
1421 let inf: f32 = f32::INFINITY;
1422 let neg_inf: f32 = f32::NEG_INFINITY;
1423 assert_eq!(0.0f32.to_degrees(), 0.0);
1424 assert_approx_eq!((-5.8f32).to_degrees(), -332.315521);
1425 assert_eq!(pi.to_degrees(), 180.0);
1426 assert!(nan.to_degrees().is_nan());
1427 assert_eq!(inf.to_degrees(), inf);
1428 assert_eq!(neg_inf.to_degrees(), neg_inf);
1429 assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703);
1433 fn test_to_radians() {
1434 let pi: f32 = consts::PI;
1435 let nan: f32 = f32::NAN;
1436 let inf: f32 = f32::INFINITY;
1437 let neg_inf: f32 = f32::NEG_INFINITY;
1438 assert_eq!(0.0f32.to_radians(), 0.0);
1439 assert_approx_eq!(154.6f32.to_radians(), 2.698279);
1440 assert_approx_eq!((-332.31f32).to_radians(), -5.799903);
1441 assert_eq!(180.0f32.to_radians(), pi);
1442 assert!(nan.to_radians().is_nan());
1443 assert_eq!(inf.to_radians(), inf);
1444 assert_eq!(neg_inf.to_radians(), neg_inf);
1449 assert_eq!(0.0f32.asinh(), 0.0f32);
1450 assert_eq!((-0.0f32).asinh(), -0.0f32);
1452 let inf: f32 = f32::INFINITY;
1453 let neg_inf: f32 = f32::NEG_INFINITY;
1454 let nan: f32 = f32::NAN;
1455 assert_eq!(inf.asinh(), inf);
1456 assert_eq!(neg_inf.asinh(), neg_inf);
1457 assert!(nan.asinh().is_nan());
1458 assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32);
1459 assert_approx_eq!((-2.0f32).asinh(), -1.443635475178810342493276740273105f32);
1464 assert_eq!(1.0f32.acosh(), 0.0f32);
1465 assert!(0.999f32.acosh().is_nan());
1467 let inf: f32 = f32::INFINITY;
1468 let neg_inf: f32 = f32::NEG_INFINITY;
1469 let nan: f32 = f32::NAN;
1470 assert_eq!(inf.acosh(), inf);
1471 assert!(neg_inf.acosh().is_nan());
1472 assert!(nan.acosh().is_nan());
1473 assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32);
1474 assert_approx_eq!(3.0f32.acosh(), 1.76274717403908605046521864995958461f32);
1479 assert_eq!(0.0f32.atanh(), 0.0f32);
1480 assert_eq!((-0.0f32).atanh(), -0.0f32);
1482 let inf32: f32 = f32::INFINITY;
1483 let neg_inf32: f32 = f32::NEG_INFINITY;
1484 assert_eq!(1.0f32.atanh(), inf32);
1485 assert_eq!((-1.0f32).atanh(), neg_inf32);
1487 assert!(2f64.atanh().atanh().is_nan());
1488 assert!((-2f64).atanh().atanh().is_nan());
1490 let inf64: f32 = f32::INFINITY;
1491 let neg_inf64: f32 = f32::NEG_INFINITY;
1492 let nan32: f32 = f32::NAN;
1493 assert!(inf64.atanh().is_nan());
1494 assert!(neg_inf64.atanh().is_nan());
1495 assert!(nan32.atanh().is_nan());
1497 assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32);
1498 assert_approx_eq!((-0.5f32).atanh(), -0.54930614433405484569762261846126285f32);
1502 fn test_real_consts() {
1505 let pi: f32 = consts::PI;
1506 let frac_pi_2: f32 = consts::FRAC_PI_2;
1507 let frac_pi_3: f32 = consts::FRAC_PI_3;
1508 let frac_pi_4: f32 = consts::FRAC_PI_4;
1509 let frac_pi_6: f32 = consts::FRAC_PI_6;
1510 let frac_pi_8: f32 = consts::FRAC_PI_8;
1511 let frac_1_pi: f32 = consts::FRAC_1_PI;
1512 let frac_2_pi: f32 = consts::FRAC_2_PI;
1513 let frac_2_sqrtpi: f32 = consts::FRAC_2_SQRT_PI;
1514 let sqrt2: f32 = consts::SQRT_2;
1515 let frac_1_sqrt2: f32 = consts::FRAC_1_SQRT_2;
1516 let e: f32 = consts::E;
1517 let log2_e: f32 = consts::LOG2_E;
1518 let log10_e: f32 = consts::LOG10_E;
1519 let ln_2: f32 = consts::LN_2;
1520 let ln_10: f32 = consts::LN_10;
1522 assert_approx_eq!(frac_pi_2, pi / 2f32);
1523 assert_approx_eq!(frac_pi_3, pi / 3f32);
1524 assert_approx_eq!(frac_pi_4, pi / 4f32);
1525 assert_approx_eq!(frac_pi_6, pi / 6f32);
1526 assert_approx_eq!(frac_pi_8, pi / 8f32);
1527 assert_approx_eq!(frac_1_pi, 1f32 / pi);
1528 assert_approx_eq!(frac_2_pi, 2f32 / pi);
1529 assert_approx_eq!(frac_2_sqrtpi, 2f32 / pi.sqrt());
1530 assert_approx_eq!(sqrt2, 2f32.sqrt());
1531 assert_approx_eq!(frac_1_sqrt2, 1f32 / 2f32.sqrt());
1532 assert_approx_eq!(log2_e, e.log2());
1533 assert_approx_eq!(log10_e, e.log10());
1534 assert_approx_eq!(ln_2, 2f32.ln());
1535 assert_approx_eq!(ln_10, 10f32.ln());
1539 fn test_float_bits_conv() {
1540 assert_eq!((1f32).to_bits(), 0x3f800000);
1541 assert_eq!((12.5f32).to_bits(), 0x41480000);
1542 assert_eq!((1337f32).to_bits(), 0x44a72000);
1543 assert_eq!((-14.25f32).to_bits(), 0xc1640000);
1544 assert_approx_eq!(f32::from_bits(0x3f800000), 1.0);
1545 assert_approx_eq!(f32::from_bits(0x41480000), 12.5);
1546 assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0);
1547 assert_approx_eq!(f32::from_bits(0xc1640000), -14.25);
1549 // Check that NaNs roundtrip their bits regardless of signalingness
1550 // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
1551 let masked_nan1 = f32::NAN.to_bits() ^ 0x002A_AAAA;
1552 let masked_nan2 = f32::NAN.to_bits() ^ 0x0055_5555;
1553 assert!(f32::from_bits(masked_nan1).is_nan());
1554 assert!(f32::from_bits(masked_nan2).is_nan());
1556 assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1);
1557 assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2);