Move std float unit tests to integration tests

10 files changed, 0 insertions, 3813 deletions

diff --git a/library/std/src/f128.rs b/library/std/src/f128.rs
index 4f37e18a8cd..5a3626ccc1f 100644
--- a/library/std/src/f128.rs
+++ b/library/std/src/f128.rs
@@ -4,9 +4,6 @@
 //!
 //! Mathematically significant numbers are provided in the `consts` sub-module.
 
-#[cfg(test)]
-mod tests;
-
 #[unstable(feature = "f128", issue = "116909")]
 pub use core::f128::consts;
 
diff --git a/library/std/src/f128/tests.rs b/library/std/src/f128/tests.rs
deleted file mode 100644
index cbcf9f96239..00000000000
--- a/library/std/src/f128/tests.rs
+++ /dev/null
@@ -1,987 +0,0 @@
-// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy
-#![cfg(reliable_f128)]
-
-use crate::f128::consts;
-use crate::num::FpCategory as Fp;
-#[cfg(reliable_f128_math)]
-use crate::ops::Rem;
-use crate::ops::{Add, Div, Mul, Sub};
-
-// Note these tolerances make sense around zero, but not for more extreme exponents.
-
-/// For operations that are near exact, usually not involving math of different
-/// signs.
-const TOL_PRECISE: f128 = 1e-28;
-
-/// Default tolerances. Works for values that should be near precise but not exact. Roughly
-/// the precision carried by `100 * 100`.
-const TOL: f128 = 1e-12;
-
-/// Tolerances for math that is allowed to be imprecise, usually due to multiple chained
-/// operations.
-#[cfg(reliable_f128_math)]
-const TOL_IMPR: f128 = 1e-10;
-
-/// Smallest number
-const TINY_BITS: u128 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u128 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u128 = 0x7ffefffffffffffffffffffffffffffe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u128 = 0x0000ffffffffffffffffffffffffffff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u128 = 0x00010000000000000000000000000000;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u128 = 0x0000aaaaaaaaaaaaaaaaaaaaaaaaaaaa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u128 = 0x00005555555555555555555555555555;
-
-/// Compare by representation
-#[allow(unused_macros)]
-macro_rules! assert_f128_biteq {
-    ($a:expr, $b:expr) => {
-        let (l, r): (&f128, &f128) = (&$a, &$b);
-        let lb = l.to_bits();
-        let rb = r.to_bits();
-        assert_eq!(lb, rb, "float {l:?} is not bitequal to {r:?}.\na: {lb:#034x}\nb: {rb:#034x}");
-    };
-}
-
-#[test]
-fn test_num_f128() {
-    // FIXME(f16_f128): replace with a `test_num` call once the required `fmodl`/`fmodf128`
-    // function is available on all platforms.
-    let ten = 10f128;
-    let two = 2f128;
-    assert_eq!(ten.add(two), ten + two);
-    assert_eq!(ten.sub(two), ten - two);
-    assert_eq!(ten.mul(two), ten * two);
-    assert_eq!(ten.div(two), ten / two);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_num_f128_rem() {
-    let ten = 10f128;
-    let two = 2f128;
-    assert_eq!(ten.rem(two), ten % two);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_min_nan() {
-    assert_eq!(f128::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f128.min(f128::NAN), 2.0);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_max_nan() {
-    assert_eq!(f128::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f128.max(f128::NAN), 2.0);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_minimum() {
-    assert!(f128::NAN.minimum(2.0).is_nan());
-    assert!(2.0f128.minimum(f128::NAN).is_nan());
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_maximum() {
-    assert!(f128::NAN.maximum(2.0).is_nan());
-    assert!(2.0f128.maximum(f128::NAN).is_nan());
-}
-
-#[test]
-fn test_nan() {
-    let nan: f128 = f128::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert!(!nan.is_normal());
-    assert_eq!(Fp::Nan, nan.classify());
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f128 = f128::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f128 = 0.0f128;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f128 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f128 = 1.0f128;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f128.is_nan());
-    assert!(!5.3f128.is_nan());
-    assert!(!(-10.732f128).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f128.is_infinite());
-    assert!(!42.8f128.is_infinite());
-    assert!(!(-109.2f128).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f128.is_finite());
-    assert!(42.8f128.is_finite());
-    assert!((-109.2f128).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let zero: f128 = 0.0f128;
-    let neg_zero: f128 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f128.is_normal());
-    assert!(1e-4931f128.is_normal());
-    assert!(!1e-4932f128.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let zero: f128 = 0.0f128;
-    let neg_zero: f128 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1f128.classify(), Fp::Normal);
-    assert_eq!(1e-4931f128.classify(), Fp::Normal);
-    assert_eq!(1e-4932f128.classify(), Fp::Subnormal);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_floor() {
-    assert_approx_eq!(1.0f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.floor(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.floor(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).floor(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).floor(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).floor(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).floor(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).floor(), -2.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_ceil() {
-    assert_approx_eq!(1.0f128.ceil(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.ceil(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.ceil(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.ceil(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.ceil(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).ceil(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).ceil(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).ceil(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).ceil(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).ceil(), -1.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_round() {
-    assert_approx_eq!(2.5f128.round(), 3.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.0f128.round(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.round(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.round(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.round(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.round(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).round(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).round(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).round(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).round(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).round(), -2.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f128.round_ties_even(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.0f128.round_ties_even(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.round_ties_even(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.round_ties_even(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.round_ties_even(), 2.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.round_ties_even(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).round_ties_even(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).round_ties_even(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).round_ties_even(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).round_ties_even(), -2.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).round_ties_even(), -2.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_trunc() {
-    assert_approx_eq!(1.0f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.trunc(), 1.0f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.trunc(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).trunc(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).trunc(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).trunc(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).trunc(), -1.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).trunc(), -1.0f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_fract() {
-    assert_approx_eq!(1.0f128.fract(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!(1.3f128.fract(), 0.3f128, TOL_PRECISE);
-    assert_approx_eq!(1.5f128.fract(), 0.5f128, TOL_PRECISE);
-    assert_approx_eq!(1.7f128.fract(), 0.7f128, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.fract(), 0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-0.0f128).fract(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.0f128).fract(), -0.0f128, TOL_PRECISE);
-    assert_approx_eq!((-1.3f128).fract(), -0.3f128, TOL_PRECISE);
-    assert_approx_eq!((-1.5f128).fract(), -0.5f128, TOL_PRECISE);
-    assert_approx_eq!((-1.7f128).fract(), -0.7f128, TOL_PRECISE);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_abs() {
-    assert_eq!(f128::INFINITY.abs(), f128::INFINITY);
-    assert_eq!(1f128.abs(), 1f128);
-    assert_eq!(0f128.abs(), 0f128);
-    assert_eq!((-0f128).abs(), 0f128);
-    assert_eq!((-1f128).abs(), 1f128);
-    assert_eq!(f128::NEG_INFINITY.abs(), f128::INFINITY);
-    assert_eq!((1f128 / f128::NEG_INFINITY).abs(), 0f128);
-    assert!(f128::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f128::INFINITY.is_sign_positive());
-    assert!(1f128.is_sign_positive());
-    assert!(0f128.is_sign_positive());
-    assert!(!(-0f128).is_sign_positive());
-    assert!(!(-1f128).is_sign_positive());
-    assert!(!f128::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f128 / f128::NEG_INFINITY).is_sign_positive());
-    assert!(f128::NAN.is_sign_positive());
-    assert!(!(-f128::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f128::INFINITY.is_sign_negative());
-    assert!(!1f128.is_sign_negative());
-    assert!(!0f128.is_sign_negative());
-    assert!((-0f128).is_sign_negative());
-    assert!((-1f128).is_sign_negative());
-    assert!(f128::NEG_INFINITY.is_sign_negative());
-    assert!((1f128 / f128::NEG_INFINITY).is_sign_negative());
-    assert!(!f128::NAN.is_sign_negative());
-    assert!((-f128::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f128::from_bits(TINY_BITS);
-    let tiny_up = f128::from_bits(TINY_UP_BITS);
-    let max_down = f128::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f128_biteq!(f128::NEG_INFINITY.next_up(), f128::MIN);
-    assert_f128_biteq!(f128::MIN.next_up(), -max_down);
-    assert_f128_biteq!((-1.0 - f128::EPSILON).next_up(), -1.0);
-    assert_f128_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f128_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f128_biteq!((-tiny).next_up(), -0.0f128);
-    assert_f128_biteq!((-0.0f128).next_up(), tiny);
-    assert_f128_biteq!(0.0f128.next_up(), tiny);
-    assert_f128_biteq!(tiny.next_up(), tiny_up);
-    assert_f128_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f128_biteq!(1.0f128.next_up(), 1.0 + f128::EPSILON);
-    assert_f128_biteq!(f128::MAX.next_up(), f128::INFINITY);
-    assert_f128_biteq!(f128::INFINITY.next_up(), f128::INFINITY);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f128::NAN;
-    let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
-    let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
-    assert_f128_biteq!(nan0.next_up(), nan0);
-    assert_f128_biteq!(nan1.next_up(), nan1);
-    assert_f128_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f128::from_bits(TINY_BITS);
-    let tiny_up = f128::from_bits(TINY_UP_BITS);
-    let max_down = f128::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f128_biteq!(f128::NEG_INFINITY.next_down(), f128::NEG_INFINITY);
-    assert_f128_biteq!(f128::MIN.next_down(), f128::NEG_INFINITY);
-    assert_f128_biteq!((-max_down).next_down(), f128::MIN);
-    assert_f128_biteq!((-1.0f128).next_down(), -1.0 - f128::EPSILON);
-    assert_f128_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f128_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f128_biteq!((-0.0f128).next_down(), -tiny);
-    assert_f128_biteq!((0.0f128).next_down(), -tiny);
-    assert_f128_biteq!(tiny.next_down(), 0.0f128);
-    assert_f128_biteq!(tiny_up.next_down(), tiny);
-    assert_f128_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f128_biteq!((1.0 + f128::EPSILON).next_down(), 1.0f128);
-    assert_f128_biteq!(f128::MAX.next_down(), max_down);
-    assert_f128_biteq!(f128::INFINITY.next_down(), f128::MAX);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f128::NAN;
-    let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
-    let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
-    assert_f128_biteq!(nan0.next_down(), nan0);
-    assert_f128_biteq!(nan1.next_down(), nan1);
-    assert_f128_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_mul_add() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_approx_eq!(12.3f128.mul_add(4.5, 6.7), 62.05, TOL_PRECISE);
-    assert_approx_eq!((-12.3f128).mul_add(-4.5, -6.7), 48.65, TOL_PRECISE);
-    assert_approx_eq!(0.0f128.mul_add(8.9, 1.2), 1.2, TOL_PRECISE);
-    assert_approx_eq!(3.4f128.mul_add(-0.0, 5.6), 5.6, TOL_PRECISE);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f128.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f128).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_recip() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(1.0f128.recip(), 1.0);
-    assert_eq!(2.0f128.recip(), 0.5);
-    assert_eq!((-0.4f128).recip(), -2.5);
-    assert_eq!(0.0f128.recip(), inf);
-    assert_approx_eq!(
-        f128::MAX.recip(),
-        8.40525785778023376565669454330438228902076605e-4933,
-        1e-4900
-    );
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-// Many math functions allow for less accurate results, so the next tolerance up is used
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_powi() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(1.0f128.powi(1), 1.0);
-    assert_approx_eq!((-3.1f128).powi(2), 9.6100000000000005506706202140776519387, TOL);
-    assert_approx_eq!(5.9f128.powi(-2), 0.028727377190462507313100483690639638451, TOL);
-    assert_eq!(8.3f128.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_powf() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(1.0f128.powf(1.0), 1.0);
-    assert_approx_eq!(3.4f128.powf(4.5), 246.40818323761892815995637964326426756, TOL_IMPR);
-    assert_approx_eq!(2.7f128.powf(-3.2), 0.041652009108526178281070304373500889273, TOL_IMPR);
-    assert_approx_eq!((-3.1f128).powf(2.0), 9.6100000000000005506706202140776519387, TOL_IMPR);
-    assert_approx_eq!(5.9f128.powf(-2.0), 0.028727377190462507313100483690639638451, TOL_IMPR);
-    assert_eq!(8.3f128.powf(0.0), 1.0);
-    assert!(nan.powf(2.0).is_nan());
-    assert_eq!(inf.powf(2.0), inf);
-    assert_eq!(neg_inf.powf(3.0), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_sqrt_domain() {
-    assert!(f128::NAN.sqrt().is_nan());
-    assert!(f128::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f128).sqrt().is_nan());
-    assert_eq!((-0.0f128).sqrt(), -0.0);
-    assert_eq!(0.0f128.sqrt(), 0.0);
-    assert_eq!(1.0f128.sqrt(), 1.0);
-    assert_eq!(f128::INFINITY.sqrt(), f128::INFINITY);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_exp() {
-    assert_eq!(1.0, 0.0f128.exp());
-    assert_approx_eq!(consts::E, 1.0f128.exp(), TOL);
-    assert_approx_eq!(148.41315910257660342111558004055227962348775, 5.0f128.exp(), TOL);
-
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let nan: f128 = f128::NAN;
-    assert_eq!(inf, inf.exp());
-    assert_eq!(0.0, neg_inf.exp());
-    assert!(nan.exp().is_nan());
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_exp2() {
-    assert_eq!(32.0, 5.0f128.exp2());
-    assert_eq!(1.0, 0.0f128.exp2());
-
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let nan: f128 = f128::NAN;
-    assert_eq!(inf, inf.exp2());
-    assert_eq!(0.0, neg_inf.exp2());
-    assert!(nan.exp2().is_nan());
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_ln() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_approx_eq!(1.0f128.exp().ln(), 1.0, TOL);
-    assert!(nan.ln().is_nan());
-    assert_eq!(inf.ln(), inf);
-    assert!(neg_inf.ln().is_nan());
-    assert!((-2.3f128).ln().is_nan());
-    assert_eq!((-0.0f128).ln(), neg_inf);
-    assert_eq!(0.0f128.ln(), neg_inf);
-    assert_approx_eq!(4.0f128.ln(), 1.3862943611198906188344642429163531366, TOL);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_log() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(10.0f128.log(10.0), 1.0);
-    assert_approx_eq!(2.3f128.log(3.5), 0.66485771361478710036766645911922010272, TOL);
-    assert_eq!(1.0f128.exp().log(1.0f128.exp()), 1.0);
-    assert!(1.0f128.log(1.0).is_nan());
-    assert!(1.0f128.log(-13.9).is_nan());
-    assert!(nan.log(2.3).is_nan());
-    assert_eq!(inf.log(10.0), inf);
-    assert!(neg_inf.log(8.8).is_nan());
-    assert!((-2.3f128).log(0.1).is_nan());
-    assert_eq!((-0.0f128).log(2.0), neg_inf);
-    assert_eq!(0.0f128.log(7.0), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_log2() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_approx_eq!(10.0f128.log2(), 3.32192809488736234787031942948939017, TOL);
-    assert_approx_eq!(2.3f128.log2(), 1.2016338611696504130002982471978765921, TOL);
-    assert_approx_eq!(1.0f128.exp().log2(), 1.4426950408889634073599246810018921381, TOL);
-    assert!(nan.log2().is_nan());
-    assert_eq!(inf.log2(), inf);
-    assert!(neg_inf.log2().is_nan());
-    assert!((-2.3f128).log2().is_nan());
-    assert_eq!((-0.0f128).log2(), neg_inf);
-    assert_eq!(0.0f128.log2(), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_log10() {
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(10.0f128.log10(), 1.0);
-    assert_approx_eq!(2.3f128.log10(), 0.36172783601759284532595218865859309898, TOL);
-    assert_approx_eq!(1.0f128.exp().log10(), 0.43429448190325182765112891891660508222, TOL);
-    assert_eq!(1.0f128.log10(), 0.0);
-    assert!(nan.log10().is_nan());
-    assert_eq!(inf.log10(), inf);
-    assert!(neg_inf.log10().is_nan());
-    assert!((-2.3f128).log10().is_nan());
-    assert_eq!((-0.0f128).log10(), neg_inf);
-    assert_eq!(0.0f128.log10(), neg_inf);
-}
-
-#[test]
-fn test_to_degrees() {
-    let pi: f128 = consts::PI;
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(0.0f128.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f128).to_degrees(), -332.31552117587745090765431723855668471, TOL);
-    assert_approx_eq!(pi.to_degrees(), 180.0, TOL);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-    assert_eq!(1_f128.to_degrees(), 57.2957795130823208767981548141051703);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f128 = consts::PI;
-    let nan: f128 = f128::NAN;
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    assert_eq!(0.0f128.to_radians(), 0.0);
-    assert_approx_eq!(154.6f128.to_radians(), 2.6982790235832334267135442069489767804, TOL);
-    assert_approx_eq!((-332.31f128).to_radians(), -5.7999036373023566567593094812182763013, TOL);
-    // check approx rather than exact because round trip for pi doesn't fall on an exactly
-    // representable value (unlike `f32` and `f64`).
-    assert_approx_eq!(180.0f128.to_radians(), pi, TOL_PRECISE);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_asinh() {
-    // Lower accuracy results are allowed, use increased tolerances
-    assert_eq!(0.0f128.asinh(), 0.0f128);
-    assert_eq!((-0.0f128).asinh(), -0.0f128);
-
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let nan: f128 = f128::NAN;
-    assert_eq!(inf.asinh(), inf);
-    assert_eq!(neg_inf.asinh(), neg_inf);
-    assert!(nan.asinh().is_nan());
-    assert!((-0.0f128).asinh().is_sign_negative());
-
-    // issue 63271
-    assert_approx_eq!(2.0f128.asinh(), 1.443635475178810342493276740273105f128, TOL_IMPR);
-    assert_approx_eq!((-2.0f128).asinh(), -1.443635475178810342493276740273105f128, TOL_IMPR);
-    // regression test for the catastrophic cancellation fixed in 72486
-    assert_approx_eq!(
-        (-67452098.07139316f128).asinh(),
-        -18.720075426274544393985484294000831757220,
-        TOL_IMPR
-    );
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(60.0f128, 60.0f128.sinh().asinh(), TOL_IMPR);
-    // mul needed for approximate comparison to be meaningful
-    assert_approx_eq!(1.0f128, 1e-15f128.sinh().asinh() * 1e15f128, TOL_IMPR);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_acosh() {
-    assert_eq!(1.0f128.acosh(), 0.0f128);
-    assert!(0.999f128.acosh().is_nan());
-
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let nan: f128 = f128::NAN;
-    assert_eq!(inf.acosh(), inf);
-    assert!(neg_inf.acosh().is_nan());
-    assert!(nan.acosh().is_nan());
-    assert_approx_eq!(2.0f128.acosh(), 1.31695789692481670862504634730796844f128, TOL_IMPR);
-    assert_approx_eq!(3.0f128.acosh(), 1.76274717403908605046521864995958461f128, TOL_IMPR);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(60.0f128, 60.0f128.cosh().acosh(), TOL_IMPR);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_atanh() {
-    assert_eq!(0.0f128.atanh(), 0.0f128);
-    assert_eq!((-0.0f128).atanh(), -0.0f128);
-
-    let inf: f128 = f128::INFINITY;
-    let neg_inf: f128 = f128::NEG_INFINITY;
-    let nan: f128 = f128::NAN;
-    assert_eq!(1.0f128.atanh(), inf);
-    assert_eq!((-1.0f128).atanh(), neg_inf);
-    assert!(2f128.atanh().atanh().is_nan());
-    assert!((-2f128).atanh().atanh().is_nan());
-    assert!(inf.atanh().is_nan());
-    assert!(neg_inf.atanh().is_nan());
-    assert!(nan.atanh().is_nan());
-    assert_approx_eq!(0.5f128.atanh(), 0.54930614433405484569762261846126285f128, TOL_IMPR);
-    assert_approx_eq!((-0.5f128).atanh(), -0.54930614433405484569762261846126285f128, TOL_IMPR);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_gamma() {
-    // precision can differ among platforms
-    assert_approx_eq!(1.0f128.gamma(), 1.0f128, TOL_IMPR);
-    assert_approx_eq!(2.0f128.gamma(), 1.0f128, TOL_IMPR);
-    assert_approx_eq!(3.0f128.gamma(), 2.0f128, TOL_IMPR);
-    assert_approx_eq!(4.0f128.gamma(), 6.0f128, TOL_IMPR);
-    assert_approx_eq!(5.0f128.gamma(), 24.0f128, TOL_IMPR);
-    assert_approx_eq!(0.5f128.gamma(), consts::PI.sqrt(), TOL_IMPR);
-    assert_approx_eq!((-0.5f128).gamma(), -2.0 * consts::PI.sqrt(), TOL_IMPR);
-    assert_eq!(0.0f128.gamma(), f128::INFINITY);
-    assert_eq!((-0.0f128).gamma(), f128::NEG_INFINITY);
-    assert!((-1.0f128).gamma().is_nan());
-    assert!((-2.0f128).gamma().is_nan());
-    assert!(f128::NAN.gamma().is_nan());
-    assert!(f128::NEG_INFINITY.gamma().is_nan());
-    assert_eq!(f128::INFINITY.gamma(), f128::INFINITY);
-    assert_eq!(1760.9f128.gamma(), f128::INFINITY);
-}
-
-#[test]
-#[cfg(reliable_f128_math)]
-fn test_ln_gamma() {
-    assert_approx_eq!(1.0f128.ln_gamma().0, 0.0f128, TOL_IMPR);
-    assert_eq!(1.0f128.ln_gamma().1, 1);
-    assert_approx_eq!(2.0f128.ln_gamma().0, 0.0f128, TOL_IMPR);
-    assert_eq!(2.0f128.ln_gamma().1, 1);
-    assert_approx_eq!(3.0f128.ln_gamma().0, 2.0f128.ln(), TOL_IMPR);
-    assert_eq!(3.0f128.ln_gamma().1, 1);
-    assert_approx_eq!((-0.5f128).ln_gamma().0, (2.0 * consts::PI.sqrt()).ln(), TOL_IMPR);
-    assert_eq!((-0.5f128).ln_gamma().1, -1);
-}
-
-#[test]
-fn test_real_consts() {
-    use super::consts;
-
-    let pi: f128 = consts::PI;
-    let frac_pi_2: f128 = consts::FRAC_PI_2;
-    let frac_pi_3: f128 = consts::FRAC_PI_3;
-    let frac_pi_4: f128 = consts::FRAC_PI_4;
-    let frac_pi_6: f128 = consts::FRAC_PI_6;
-    let frac_pi_8: f128 = consts::FRAC_PI_8;
-    let frac_1_pi: f128 = consts::FRAC_1_PI;
-    let frac_2_pi: f128 = consts::FRAC_2_PI;
-
-    assert_approx_eq!(frac_pi_2, pi / 2f128, TOL_PRECISE);
-    assert_approx_eq!(frac_pi_3, pi / 3f128, TOL_PRECISE);
-    assert_approx_eq!(frac_pi_4, pi / 4f128, TOL_PRECISE);
-    assert_approx_eq!(frac_pi_6, pi / 6f128, TOL_PRECISE);
-    assert_approx_eq!(frac_pi_8, pi / 8f128, TOL_PRECISE);
-    assert_approx_eq!(frac_1_pi, 1f128 / pi, TOL_PRECISE);
-    assert_approx_eq!(frac_2_pi, 2f128 / pi, TOL_PRECISE);
-
-    #[cfg(reliable_f128_math)]
-    {
-        let frac_2_sqrtpi: f128 = consts::FRAC_2_SQRT_PI;
-        let sqrt2: f128 = consts::SQRT_2;
-        let frac_1_sqrt2: f128 = consts::FRAC_1_SQRT_2;
-        let e: f128 = consts::E;
-        let log2_e: f128 = consts::LOG2_E;
-        let log10_e: f128 = consts::LOG10_E;
-        let ln_2: f128 = consts::LN_2;
-        let ln_10: f128 = consts::LN_10;
-
-        assert_approx_eq!(frac_2_sqrtpi, 2f128 / pi.sqrt(), TOL_PRECISE);
-        assert_approx_eq!(sqrt2, 2f128.sqrt(), TOL_PRECISE);
-        assert_approx_eq!(frac_1_sqrt2, 1f128 / 2f128.sqrt(), TOL_PRECISE);
-        assert_approx_eq!(log2_e, e.log2(), TOL_PRECISE);
-        assert_approx_eq!(log10_e, e.log10(), TOL_PRECISE);
-        assert_approx_eq!(ln_2, 2f128.ln(), TOL_PRECISE);
-        assert_approx_eq!(ln_10, 10f128.ln(), TOL_PRECISE);
-    }
-}
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f128).to_bits(), 0x3fff0000000000000000000000000000);
-    assert_eq!((12.5f128).to_bits(), 0x40029000000000000000000000000000);
-    assert_eq!((1337f128).to_bits(), 0x40094e40000000000000000000000000);
-    assert_eq!((-14.25f128).to_bits(), 0xc002c800000000000000000000000000);
-    assert_approx_eq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0, TOL_PRECISE);
-    assert_approx_eq!(f128::from_bits(0x40029000000000000000000000000000), 12.5, TOL_PRECISE);
-    assert_approx_eq!(f128::from_bits(0x40094e40000000000000000000000000), 1337.0, TOL_PRECISE);
-    assert_approx_eq!(f128::from_bits(0xc002c800000000000000000000000000), -14.25, TOL_PRECISE);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
-    let masked_nan1 = f128::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f128::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f128::from_bits(masked_nan1).is_nan());
-    assert!(f128::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f128::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f128::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f128.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f128.clamp(f128::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f128.clamp(3.0, f128::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u128 {
-        1 << (f128::MANTISSA_DIGITS - 2)
-    }
-
-    // FIXME(f16_f128): test subnormals when powf is available
-    // fn min_subnorm() -> f128 {
-    //     f128::MIN_POSITIVE / f128::powf(2.0, f128::MANTISSA_DIGITS as f128 - 1.0)
-    // }
-
-    // fn max_subnorm() -> f128 {
-    //     f128::MIN_POSITIVE - min_subnorm()
-    // }
-
-    fn q_nan() -> f128 {
-        f128::from_bits(f128::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f128 {
-        f128::from_bits((f128::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f128::INFINITY).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Equal, (-f128::MAX).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f128).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f128).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f128).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f128).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f128::MIN_POSITIVE).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f128).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f128.total_cmp(&0.0));
-    // assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f128::MIN_POSITIVE.total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f128.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f128.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f128.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f128.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f128::MAX.total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Equal, f128::INFINITY.total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Less, (-f128::INFINITY).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Less, (-f128::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f128).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f128).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f128).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f128).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-f128::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    // assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f128).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, 0.0_f128.total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    // assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f128::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f128.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f128.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f128.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f128.total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Less, f128::MAX.total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Less, f128::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f128::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f128::MAX).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f128).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f128).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f128).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f128).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f128::MIN_POSITIVE).total_cmp(&-0.5));
-    // assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Greater, (-0.0_f128).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f128.total_cmp(&-0.0));
-    // assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    // assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Greater, f128::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f128.total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f128.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f128.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f128.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f128::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f128::INFINITY.total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f128::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f128::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
diff --git a/library/std/src/f16.rs b/library/std/src/f16.rs
index 42cd6e3fe2a..56b11ae170f 100644
--- a/library/std/src/f16.rs
+++ b/library/std/src/f16.rs
@@ -4,9 +4,6 @@
 //!
 //! Mathematically significant numbers are provided in the `consts` sub-module.
 
-#[cfg(test)]
-mod tests;
-
 #[unstable(feature = "f16", issue = "116909")]
 pub use core::f16::consts;
 
diff --git a/library/std/src/f16/tests.rs b/library/std/src/f16/tests.rs
deleted file mode 100644
index 684ee3f3855..00000000000
--- a/library/std/src/f16/tests.rs
+++ /dev/null
@@ -1,958 +0,0 @@
-// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy
-#![cfg(reliable_f16)]
-
-use crate::f16::consts;
-use crate::num::{FpCategory as Fp, *};
-
-/// Tolerance for results on the order of 10.0e-2
-#[allow(unused)]
-const TOL_N2: f16 = 0.0001;
-
-/// Tolerance for results on the order of 10.0e+0
-#[allow(unused)]
-const TOL_0: f16 = 0.01;
-
-/// Tolerance for results on the order of 10.0e+2
-#[allow(unused)]
-const TOL_P2: f16 = 0.5;
-
-/// Tolerance for results on the order of 10.0e+4
-#[allow(unused)]
-const TOL_P4: f16 = 10.0;
-
-/// Smallest number
-const TINY_BITS: u16 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u16 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u16 = 0x7bfe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u16 = 0x03ff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u16 = 0x0400;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u16 = 0x02aa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u16 = 0x0155;
-
-/// Compare by representation
-#[allow(unused_macros)]
-macro_rules! assert_f16_biteq {
-    ($a:expr, $b:expr) => {
-        let (l, r): (&f16, &f16) = (&$a, &$b);
-        let lb = l.to_bits();
-        let rb = r.to_bits();
-        assert_eq!(lb, rb, "float {l:?} ({lb:#04x}) is not bitequal to {r:?} ({rb:#04x})");
-    };
-}
-
-#[test]
-fn test_num_f16() {
-    test_num(10f16, 2f16);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_min_nan() {
-    assert_eq!(f16::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f16.min(f16::NAN), 2.0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_max_nan() {
-    assert_eq!(f16::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f16.max(f16::NAN), 2.0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_minimum() {
-    assert!(f16::NAN.minimum(2.0).is_nan());
-    assert!(2.0f16.minimum(f16::NAN).is_nan());
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_maximum() {
-    assert!(f16::NAN.maximum(2.0).is_nan());
-    assert!(2.0f16.maximum(f16::NAN).is_nan());
-}
-
-#[test]
-fn test_nan() {
-    let nan: f16 = f16::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert!(!nan.is_normal());
-    assert_eq!(Fp::Nan, nan.classify());
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f16 = f16::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f16 = 0.0f16;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f16 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f16 = 1.0f16;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f16.is_nan());
-    assert!(!5.3f16.is_nan());
-    assert!(!(-10.732f16).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f16.is_infinite());
-    assert!(!42.8f16.is_infinite());
-    assert!(!(-109.2f16).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f16.is_finite());
-    assert!(42.8f16.is_finite());
-    assert!((-109.2f16).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let zero: f16 = 0.0f16;
-    let neg_zero: f16 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f16.is_normal());
-    assert!(1e-4f16.is_normal());
-    assert!(!1e-5f16.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let zero: f16 = 0.0f16;
-    let neg_zero: f16 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1f16.classify(), Fp::Normal);
-    assert_eq!(1e-4f16.classify(), Fp::Normal);
-    assert_eq!(1e-5f16.classify(), Fp::Subnormal);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_floor() {
-    assert_approx_eq!(1.0f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.floor(), 1.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.floor(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).floor(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).floor(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).floor(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).floor(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).floor(), -2.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_ceil() {
-    assert_approx_eq!(1.0f16.ceil(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.ceil(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.ceil(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.ceil(), 2.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.ceil(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).ceil(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).ceil(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).ceil(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).ceil(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).ceil(), -1.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_round() {
-    assert_approx_eq!(2.5f16.round(), 3.0f16, TOL_0);
-    assert_approx_eq!(1.0f16.round(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.round(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.round(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.round(), 2.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.round(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).round(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).round(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).round(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).round(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).round(), -2.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f16.round_ties_even(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.0f16.round_ties_even(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.round_ties_even(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.round_ties_even(), 2.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.round_ties_even(), 2.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.round_ties_even(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).round_ties_even(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).round_ties_even(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).round_ties_even(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).round_ties_even(), -2.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).round_ties_even(), -2.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_trunc() {
-    assert_approx_eq!(1.0f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.5f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(1.7f16.trunc(), 1.0f16, TOL_0);
-    assert_approx_eq!(0.0f16.trunc(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).trunc(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).trunc(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).trunc(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.5f16).trunc(), -1.0f16, TOL_0);
-    assert_approx_eq!((-1.7f16).trunc(), -1.0f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_fract() {
-    assert_approx_eq!(1.0f16.fract(), 0.0f16, TOL_0);
-    assert_approx_eq!(1.3f16.fract(), 0.3f16, TOL_0);
-    assert_approx_eq!(1.5f16.fract(), 0.5f16, TOL_0);
-    assert_approx_eq!(1.7f16.fract(), 0.7f16, TOL_0);
-    assert_approx_eq!(0.0f16.fract(), 0.0f16, TOL_0);
-    assert_approx_eq!((-0.0f16).fract(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.0f16).fract(), -0.0f16, TOL_0);
-    assert_approx_eq!((-1.3f16).fract(), -0.3f16, TOL_0);
-    assert_approx_eq!((-1.5f16).fract(), -0.5f16, TOL_0);
-    assert_approx_eq!((-1.7f16).fract(), -0.7f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_abs() {
-    assert_eq!(f16::INFINITY.abs(), f16::INFINITY);
-    assert_eq!(1f16.abs(), 1f16);
-    assert_eq!(0f16.abs(), 0f16);
-    assert_eq!((-0f16).abs(), 0f16);
-    assert_eq!((-1f16).abs(), 1f16);
-    assert_eq!(f16::NEG_INFINITY.abs(), f16::INFINITY);
-    assert_eq!((1f16 / f16::NEG_INFINITY).abs(), 0f16);
-    assert!(f16::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f16::INFINITY.is_sign_positive());
-    assert!(1f16.is_sign_positive());
-    assert!(0f16.is_sign_positive());
-    assert!(!(-0f16).is_sign_positive());
-    assert!(!(-1f16).is_sign_positive());
-    assert!(!f16::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f16 / f16::NEG_INFINITY).is_sign_positive());
-    assert!(f16::NAN.is_sign_positive());
-    assert!(!(-f16::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f16::INFINITY.is_sign_negative());
-    assert!(!1f16.is_sign_negative());
-    assert!(!0f16.is_sign_negative());
-    assert!((-0f16).is_sign_negative());
-    assert!((-1f16).is_sign_negative());
-    assert!(f16::NEG_INFINITY.is_sign_negative());
-    assert!((1f16 / f16::NEG_INFINITY).is_sign_negative());
-    assert!(!f16::NAN.is_sign_negative());
-    assert!((-f16::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f16::from_bits(TINY_BITS);
-    let tiny_up = f16::from_bits(TINY_UP_BITS);
-    let max_down = f16::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f16::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f16::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f16_biteq!(f16::NEG_INFINITY.next_up(), f16::MIN);
-    assert_f16_biteq!(f16::MIN.next_up(), -max_down);
-    assert_f16_biteq!((-1.0 - f16::EPSILON).next_up(), -1.0);
-    assert_f16_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f16_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f16_biteq!((-tiny).next_up(), -0.0f16);
-    assert_f16_biteq!((-0.0f16).next_up(), tiny);
-    assert_f16_biteq!(0.0f16.next_up(), tiny);
-    assert_f16_biteq!(tiny.next_up(), tiny_up);
-    assert_f16_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f16_biteq!(1.0f16.next_up(), 1.0 + f16::EPSILON);
-    assert_f16_biteq!(f16::MAX.next_up(), f16::INFINITY);
-    assert_f16_biteq!(f16::INFINITY.next_up(), f16::INFINITY);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f16::NAN;
-    let nan1 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK2);
-    assert_f16_biteq!(nan0.next_up(), nan0);
-    assert_f16_biteq!(nan1.next_up(), nan1);
-    assert_f16_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f16::from_bits(TINY_BITS);
-    let tiny_up = f16::from_bits(TINY_UP_BITS);
-    let max_down = f16::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f16::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f16::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f16_biteq!(f16::NEG_INFINITY.next_down(), f16::NEG_INFINITY);
-    assert_f16_biteq!(f16::MIN.next_down(), f16::NEG_INFINITY);
-    assert_f16_biteq!((-max_down).next_down(), f16::MIN);
-    assert_f16_biteq!((-1.0f16).next_down(), -1.0 - f16::EPSILON);
-    assert_f16_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f16_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f16_biteq!((-0.0f16).next_down(), -tiny);
-    assert_f16_biteq!((0.0f16).next_down(), -tiny);
-    assert_f16_biteq!(tiny.next_down(), 0.0f16);
-    assert_f16_biteq!(tiny_up.next_down(), tiny);
-    assert_f16_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f16_biteq!((1.0 + f16::EPSILON).next_down(), 1.0f16);
-    assert_f16_biteq!(f16::MAX.next_down(), max_down);
-    assert_f16_biteq!(f16::INFINITY.next_down(), f16::MAX);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f16::NAN;
-    let nan1 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f16::from_bits(f16::NAN.to_bits() ^ NAN_MASK2);
-    assert_f16_biteq!(nan0.next_down(), nan0);
-    assert_f16_biteq!(nan1.next_down(), nan1);
-    assert_f16_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_mul_add() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_approx_eq!(12.3f16.mul_add(4.5, 6.7), 62.05, TOL_P2);
-    assert_approx_eq!((-12.3f16).mul_add(-4.5, -6.7), 48.65, TOL_P2);
-    assert_approx_eq!(0.0f16.mul_add(8.9, 1.2), 1.2, TOL_0);
-    assert_approx_eq!(3.4f16.mul_add(-0.0, 5.6), 5.6, TOL_0);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f16.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f16).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_recip() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(1.0f16.recip(), 1.0);
-    assert_eq!(2.0f16.recip(), 0.5);
-    assert_eq!((-0.4f16).recip(), -2.5);
-    assert_eq!(0.0f16.recip(), inf);
-    assert_approx_eq!(f16::MAX.recip(), 1.526624e-5f16, 1e-4);
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_powi() {
-    // FIXME(llvm19): LLVM misoptimizes `powi.f16`
-    // <https://github.com/llvm/llvm-project/issues/98665>
-    // let nan: f16 = f16::NAN;
-    // let inf: f16 = f16::INFINITY;
-    // let neg_inf: f16 = f16::NEG_INFINITY;
-    // assert_eq!(1.0f16.powi(1), 1.0);
-    // assert_approx_eq!((-3.1f16).powi(2), 9.61, TOL_0);
-    // assert_approx_eq!(5.9f16.powi(-2), 0.028727, TOL_N2);
-    // assert_eq!(8.3f16.powi(0), 1.0);
-    // assert!(nan.powi(2).is_nan());
-    // assert_eq!(inf.powi(3), inf);
-    // assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_powf() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(1.0f16.powf(1.0), 1.0);
-    assert_approx_eq!(3.4f16.powf(4.5), 246.408183, TOL_P2);
-    assert_approx_eq!(2.7f16.powf(-3.2), 0.041652, TOL_N2);
-    assert_approx_eq!((-3.1f16).powf(2.0), 9.61, TOL_P2);
-    assert_approx_eq!(5.9f16.powf(-2.0), 0.028727, TOL_N2);
-    assert_eq!(8.3f16.powf(0.0), 1.0);
-    assert!(nan.powf(2.0).is_nan());
-    assert_eq!(inf.powf(2.0), inf);
-    assert_eq!(neg_inf.powf(3.0), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_sqrt_domain() {
-    assert!(f16::NAN.sqrt().is_nan());
-    assert!(f16::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f16).sqrt().is_nan());
-    assert_eq!((-0.0f16).sqrt(), -0.0);
-    assert_eq!(0.0f16.sqrt(), 0.0);
-    assert_eq!(1.0f16.sqrt(), 1.0);
-    assert_eq!(f16::INFINITY.sqrt(), f16::INFINITY);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_exp() {
-    assert_eq!(1.0, 0.0f16.exp());
-    assert_approx_eq!(2.718282, 1.0f16.exp(), TOL_0);
-    assert_approx_eq!(148.413159, 5.0f16.exp(), TOL_0);
-
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let nan: f16 = f16::NAN;
-    assert_eq!(inf, inf.exp());
-    assert_eq!(0.0, neg_inf.exp());
-    assert!(nan.exp().is_nan());
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_exp2() {
-    assert_eq!(32.0, 5.0f16.exp2());
-    assert_eq!(1.0, 0.0f16.exp2());
-
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let nan: f16 = f16::NAN;
-    assert_eq!(inf, inf.exp2());
-    assert_eq!(0.0, neg_inf.exp2());
-    assert!(nan.exp2().is_nan());
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_ln() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_approx_eq!(1.0f16.exp().ln(), 1.0, TOL_0);
-    assert!(nan.ln().is_nan());
-    assert_eq!(inf.ln(), inf);
-    assert!(neg_inf.ln().is_nan());
-    assert!((-2.3f16).ln().is_nan());
-    assert_eq!((-0.0f16).ln(), neg_inf);
-    assert_eq!(0.0f16.ln(), neg_inf);
-    assert_approx_eq!(4.0f16.ln(), 1.386294, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_log() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(10.0f16.log(10.0), 1.0);
-    assert_approx_eq!(2.3f16.log(3.5), 0.664858, TOL_0);
-    assert_eq!(1.0f16.exp().log(1.0f16.exp()), 1.0);
-    assert!(1.0f16.log(1.0).is_nan());
-    assert!(1.0f16.log(-13.9).is_nan());
-    assert!(nan.log(2.3).is_nan());
-    assert_eq!(inf.log(10.0), inf);
-    assert!(neg_inf.log(8.8).is_nan());
-    assert!((-2.3f16).log(0.1).is_nan());
-    assert_eq!((-0.0f16).log(2.0), neg_inf);
-    assert_eq!(0.0f16.log(7.0), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_log2() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_approx_eq!(10.0f16.log2(), 3.321928, TOL_0);
-    assert_approx_eq!(2.3f16.log2(), 1.201634, TOL_0);
-    assert_approx_eq!(1.0f16.exp().log2(), 1.442695, TOL_0);
-    assert!(nan.log2().is_nan());
-    assert_eq!(inf.log2(), inf);
-    assert!(neg_inf.log2().is_nan());
-    assert!((-2.3f16).log2().is_nan());
-    assert_eq!((-0.0f16).log2(), neg_inf);
-    assert_eq!(0.0f16.log2(), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_log10() {
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(10.0f16.log10(), 1.0);
-    assert_approx_eq!(2.3f16.log10(), 0.361728, TOL_0);
-    assert_approx_eq!(1.0f16.exp().log10(), 0.434294, TOL_0);
-    assert_eq!(1.0f16.log10(), 0.0);
-    assert!(nan.log10().is_nan());
-    assert_eq!(inf.log10(), inf);
-    assert!(neg_inf.log10().is_nan());
-    assert!((-2.3f16).log10().is_nan());
-    assert_eq!((-0.0f16).log10(), neg_inf);
-    assert_eq!(0.0f16.log10(), neg_inf);
-}
-
-#[test]
-fn test_to_degrees() {
-    let pi: f16 = consts::PI;
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(0.0f16.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f16).to_degrees(), -332.315521, TOL_P2);
-    assert_approx_eq!(pi.to_degrees(), 180.0, TOL_P2);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-    assert_eq!(1_f16.to_degrees(), 57.2957795130823208767981548141051703);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f16 = consts::PI;
-    let nan: f16 = f16::NAN;
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    assert_eq!(0.0f16.to_radians(), 0.0);
-    assert_approx_eq!(154.6f16.to_radians(), 2.698279, TOL_0);
-    assert_approx_eq!((-332.31f16).to_radians(), -5.799903, TOL_0);
-    assert_approx_eq!(180.0f16.to_radians(), pi, TOL_0);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_asinh() {
-    assert_eq!(0.0f16.asinh(), 0.0f16);
-    assert_eq!((-0.0f16).asinh(), -0.0f16);
-
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let nan: f16 = f16::NAN;
-    assert_eq!(inf.asinh(), inf);
-    assert_eq!(neg_inf.asinh(), neg_inf);
-    assert!(nan.asinh().is_nan());
-    assert!((-0.0f16).asinh().is_sign_negative());
-    // issue 63271
-    assert_approx_eq!(2.0f16.asinh(), 1.443635475178810342493276740273105f16, TOL_0);
-    assert_approx_eq!((-2.0f16).asinh(), -1.443635475178810342493276740273105f16, TOL_0);
-    // regression test for the catastrophic cancellation fixed in 72486
-    assert_approx_eq!((-200.0f16).asinh(), -5.991470797049389, TOL_0);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(10.0f16, 10.0f16.sinh().asinh(), TOL_0);
-    // mul needed for approximate comparison to be meaningful
-    assert_approx_eq!(1.0f16, 1e-3f16.sinh().asinh() * 1e3f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_acosh() {
-    assert_eq!(1.0f16.acosh(), 0.0f16);
-    assert!(0.999f16.acosh().is_nan());
-
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let nan: f16 = f16::NAN;
-    assert_eq!(inf.acosh(), inf);
-    assert!(neg_inf.acosh().is_nan());
-    assert!(nan.acosh().is_nan());
-    assert_approx_eq!(2.0f16.acosh(), 1.31695789692481670862504634730796844f16, TOL_0);
-    assert_approx_eq!(3.0f16.acosh(), 1.76274717403908605046521864995958461f16, TOL_0);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(10.0f16, 10.0f16.cosh().acosh(), TOL_P2);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_atanh() {
-    assert_eq!(0.0f16.atanh(), 0.0f16);
-    assert_eq!((-0.0f16).atanh(), -0.0f16);
-
-    let inf: f16 = f16::INFINITY;
-    let neg_inf: f16 = f16::NEG_INFINITY;
-    let nan: f16 = f16::NAN;
-    assert_eq!(1.0f16.atanh(), inf);
-    assert_eq!((-1.0f16).atanh(), neg_inf);
-    assert!(2f16.atanh().atanh().is_nan());
-    assert!((-2f16).atanh().atanh().is_nan());
-    assert!(inf.atanh().is_nan());
-    assert!(neg_inf.atanh().is_nan());
-    assert!(nan.atanh().is_nan());
-    assert_approx_eq!(0.5f16.atanh(), 0.54930614433405484569762261846126285f16, TOL_0);
-    assert_approx_eq!((-0.5f16).atanh(), -0.54930614433405484569762261846126285f16, TOL_0);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_gamma() {
-    // precision can differ among platforms
-    assert_approx_eq!(1.0f16.gamma(), 1.0f16, TOL_0);
-    assert_approx_eq!(2.0f16.gamma(), 1.0f16, TOL_0);
-    assert_approx_eq!(3.0f16.gamma(), 2.0f16, TOL_0);
-    assert_approx_eq!(4.0f16.gamma(), 6.0f16, TOL_0);
-    assert_approx_eq!(5.0f16.gamma(), 24.0f16, TOL_0);
-    assert_approx_eq!(0.5f16.gamma(), consts::PI.sqrt(), TOL_0);
-    assert_approx_eq!((-0.5f16).gamma(), -2.0 * consts::PI.sqrt(), TOL_0);
-    assert_eq!(0.0f16.gamma(), f16::INFINITY);
-    assert_eq!((-0.0f16).gamma(), f16::NEG_INFINITY);
-    assert!((-1.0f16).gamma().is_nan());
-    assert!((-2.0f16).gamma().is_nan());
-    assert!(f16::NAN.gamma().is_nan());
-    assert!(f16::NEG_INFINITY.gamma().is_nan());
-    assert_eq!(f16::INFINITY.gamma(), f16::INFINITY);
-    assert_eq!(171.71f16.gamma(), f16::INFINITY);
-}
-
-#[test]
-#[cfg(reliable_f16_math)]
-fn test_ln_gamma() {
-    assert_approx_eq!(1.0f16.ln_gamma().0, 0.0f16, TOL_0);
-    assert_eq!(1.0f16.ln_gamma().1, 1);
-    assert_approx_eq!(2.0f16.ln_gamma().0, 0.0f16, TOL_0);
-    assert_eq!(2.0f16.ln_gamma().1, 1);
-    assert_approx_eq!(3.0f16.ln_gamma().0, 2.0f16.ln(), TOL_0);
-    assert_eq!(3.0f16.ln_gamma().1, 1);
-    assert_approx_eq!((-0.5f16).ln_gamma().0, (2.0 * consts::PI.sqrt()).ln(), TOL_0);
-    assert_eq!((-0.5f16).ln_gamma().1, -1);
-}
-
-#[test]
-fn test_real_consts() {
-    // FIXME(f16_f128): add math tests when available
-    use super::consts;
-
-    let pi: f16 = consts::PI;
-    let frac_pi_2: f16 = consts::FRAC_PI_2;
-    let frac_pi_3: f16 = consts::FRAC_PI_3;
-    let frac_pi_4: f16 = consts::FRAC_PI_4;
-    let frac_pi_6: f16 = consts::FRAC_PI_6;
-    let frac_pi_8: f16 = consts::FRAC_PI_8;
-    let frac_1_pi: f16 = consts::FRAC_1_PI;
-    let frac_2_pi: f16 = consts::FRAC_2_PI;
-
-    assert_approx_eq!(frac_pi_2, pi / 2f16, TOL_0);
-    assert_approx_eq!(frac_pi_3, pi / 3f16, TOL_0);
-    assert_approx_eq!(frac_pi_4, pi / 4f16, TOL_0);
-    assert_approx_eq!(frac_pi_6, pi / 6f16, TOL_0);
-    assert_approx_eq!(frac_pi_8, pi / 8f16, TOL_0);
-    assert_approx_eq!(frac_1_pi, 1f16 / pi, TOL_0);
-    assert_approx_eq!(frac_2_pi, 2f16 / pi, TOL_0);
-
-    #[cfg(reliable_f16_math)]
-    {
-        let frac_2_sqrtpi: f16 = consts::FRAC_2_SQRT_PI;
-        let sqrt2: f16 = consts::SQRT_2;
-        let frac_1_sqrt2: f16 = consts::FRAC_1_SQRT_2;
-        let e: f16 = consts::E;
-        let log2_e: f16 = consts::LOG2_E;
-        let log10_e: f16 = consts::LOG10_E;
-        let ln_2: f16 = consts::LN_2;
-        let ln_10: f16 = consts::LN_10;
-
-        assert_approx_eq!(frac_2_sqrtpi, 2f16 / pi.sqrt(), TOL_0);
-        assert_approx_eq!(sqrt2, 2f16.sqrt(), TOL_0);
-        assert_approx_eq!(frac_1_sqrt2, 1f16 / 2f16.sqrt(), TOL_0);
-        assert_approx_eq!(log2_e, e.log2(), TOL_0);
-        assert_approx_eq!(log10_e, e.log10(), TOL_0);
-        assert_approx_eq!(ln_2, 2f16.ln(), TOL_0);
-        assert_approx_eq!(ln_10, 10f16.ln(), TOL_0);
-    }
-}
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f16).to_bits(), 0x3c00);
-    assert_eq!((12.5f16).to_bits(), 0x4a40);
-    assert_eq!((1337f16).to_bits(), 0x6539);
-    assert_eq!((-14.25f16).to_bits(), 0xcb20);
-    assert_approx_eq!(f16::from_bits(0x3c00), 1.0, TOL_0);
-    assert_approx_eq!(f16::from_bits(0x4a40), 12.5, TOL_0);
-    assert_approx_eq!(f16::from_bits(0x6539), 1337.0, TOL_P4);
-    assert_approx_eq!(f16::from_bits(0xcb20), -14.25, TOL_0);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    let masked_nan1 = f16::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f16::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f16::from_bits(masked_nan1).is_nan());
-    assert!(f16::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f16::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f16::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f16.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f16.clamp(f16::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f16.clamp(3.0, f16::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u16 {
-        1 << (f16::MANTISSA_DIGITS - 2)
-    }
-
-    // FIXME(f16_f128): test subnormals when powf is available
-    // fn min_subnorm() -> f16 {
-    //     f16::MIN_POSITIVE / f16::powf(2.0, f16::MANTISSA_DIGITS as f16 - 1.0)
-    // }
-
-    // fn max_subnorm() -> f16 {
-    //     f16::MIN_POSITIVE - min_subnorm()
-    // }
-
-    fn q_nan() -> f16 {
-        f16::from_bits(f16::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f16 {
-        f16::from_bits((f16::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f16::INFINITY).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Equal, (-f16::MAX).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f16).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f16).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f16).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f16).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f16::MIN_POSITIVE).total_cmp(&-f16::MIN_POSITIVE));
-    // assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f16).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f16.total_cmp(&0.0));
-    // assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f16::MIN_POSITIVE.total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f16.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f16.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f16.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f16.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f16::MAX.total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Equal, f16::INFINITY.total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Less, (-f16::INFINITY).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Less, (-f16::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f16).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f16).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f16).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f16).total_cmp(&-f16::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-f16::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    // assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f16).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, 0.0_f16.total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    // assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f16::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f16.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f16.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f16.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f16.total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Less, f16::MAX.total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Less, f16::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f16::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f16::MAX).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f16).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f16).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f16).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f16).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f16::MIN_POSITIVE).total_cmp(&-0.5));
-    // assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f16::MIN_POSITIVE));
-    // assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Greater, (-0.0_f16).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f16.total_cmp(&-0.0));
-    // assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    // assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Greater, f16::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f16.total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f16.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f16.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f16.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f16::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f16::INFINITY.total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MIN_POSITIVE));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    // assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
diff --git a/library/std/src/f32.rs b/library/std/src/f32.rs
index 438d77b1626..1842a079dbc 100644
--- a/library/std/src/f32.rs
+++ b/library/std/src/f32.rs
@@ -12,9 +12,6 @@
 #![stable(feature = "rust1", since = "1.0.0")]
 #![allow(missing_docs)]
 
-#[cfg(test)]
-mod tests;
-
 #[stable(feature = "rust1", since = "1.0.0")]
 #[allow(deprecated, deprecated_in_future)]
 pub use core::f32::{
diff --git a/library/std/src/f32/tests.rs b/library/std/src/f32/tests.rs
deleted file mode 100644
index 99cfcfb231d..00000000000
--- a/library/std/src/f32/tests.rs
+++ /dev/null
@@ -1,919 +0,0 @@
-use crate::f32::consts;
-use crate::num::{FpCategory as Fp, *};
-
-/// Smallest number
-const TINY_BITS: u32 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u32 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u32 = 0x7f7f_fffe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u32 = 0x007f_ffff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u32 = 0x0080_0000;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u32 = 0x002a_aaaa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u32 = 0x0055_5555;
-
-#[allow(unused_macros)]
-macro_rules! assert_f32_biteq {
-    ($left : expr, $right : expr) => {
-        let l: &f32 = &$left;
-        let r: &f32 = &$right;
-        let lb = l.to_bits();
-        let rb = r.to_bits();
-        assert_eq!(lb, rb, "float {l} ({lb:#010x}) is not bitequal to {r} ({rb:#010x})");
-    };
-}
-
-#[test]
-fn test_num_f32() {
-    test_num(10f32, 2f32);
-}
-
-#[test]
-fn test_min_nan() {
-    assert_eq!(f32::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f32.min(f32::NAN), 2.0);
-}
-
-#[test]
-fn test_max_nan() {
-    assert_eq!(f32::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f32.max(f32::NAN), 2.0);
-}
-
-#[test]
-fn test_minimum() {
-    assert!(f32::NAN.minimum(2.0).is_nan());
-    assert!(2.0f32.minimum(f32::NAN).is_nan());
-}
-
-#[test]
-fn test_maximum() {
-    assert!(f32::NAN.maximum(2.0).is_nan());
-    assert!(2.0f32.maximum(f32::NAN).is_nan());
-}
-
-#[test]
-fn test_nan() {
-    let nan: f32 = f32::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(!nan.is_normal());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert_eq!(Fp::Nan, nan.classify());
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f32 = f32::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f32 = 0.0f32;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f32 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f32 = 1.0f32;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f32.is_nan());
-    assert!(!5.3f32.is_nan());
-    assert!(!(-10.732f32).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f32.is_infinite());
-    assert!(!42.8f32.is_infinite());
-    assert!(!(-109.2f32).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f32.is_finite());
-    assert!(42.8f32.is_finite());
-    assert!((-109.2f32).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let zero: f32 = 0.0f32;
-    let neg_zero: f32 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f32.is_normal());
-    assert!(1e-37f32.is_normal());
-    assert!(!1e-38f32.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let zero: f32 = 0.0f32;
-    let neg_zero: f32 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1f32.classify(), Fp::Normal);
-    assert_eq!(1e-37f32.classify(), Fp::Normal);
-    assert_eq!(1e-38f32.classify(), Fp::Subnormal);
-}
-
-#[test]
-fn test_floor() {
-    assert_approx_eq!(1.0f32.floor(), 1.0f32);
-    assert_approx_eq!(1.3f32.floor(), 1.0f32);
-    assert_approx_eq!(1.5f32.floor(), 1.0f32);
-    assert_approx_eq!(1.7f32.floor(), 1.0f32);
-    assert_approx_eq!(0.0f32.floor(), 0.0f32);
-    assert_approx_eq!((-0.0f32).floor(), -0.0f32);
-    assert_approx_eq!((-1.0f32).floor(), -1.0f32);
-    assert_approx_eq!((-1.3f32).floor(), -2.0f32);
-    assert_approx_eq!((-1.5f32).floor(), -2.0f32);
-    assert_approx_eq!((-1.7f32).floor(), -2.0f32);
-}
-
-#[test]
-fn test_ceil() {
-    assert_approx_eq!(1.0f32.ceil(), 1.0f32);
-    assert_approx_eq!(1.3f32.ceil(), 2.0f32);
-    assert_approx_eq!(1.5f32.ceil(), 2.0f32);
-    assert_approx_eq!(1.7f32.ceil(), 2.0f32);
-    assert_approx_eq!(0.0f32.ceil(), 0.0f32);
-    assert_approx_eq!((-0.0f32).ceil(), -0.0f32);
-    assert_approx_eq!((-1.0f32).ceil(), -1.0f32);
-    assert_approx_eq!((-1.3f32).ceil(), -1.0f32);
-    assert_approx_eq!((-1.5f32).ceil(), -1.0f32);
-    assert_approx_eq!((-1.7f32).ceil(), -1.0f32);
-}
-
-#[test]
-fn test_round() {
-    assert_approx_eq!(2.5f32.round(), 3.0f32);
-    assert_approx_eq!(1.0f32.round(), 1.0f32);
-    assert_approx_eq!(1.3f32.round(), 1.0f32);
-    assert_approx_eq!(1.5f32.round(), 2.0f32);
-    assert_approx_eq!(1.7f32.round(), 2.0f32);
-    assert_approx_eq!(0.0f32.round(), 0.0f32);
-    assert_approx_eq!((-0.0f32).round(), -0.0f32);
-    assert_approx_eq!((-1.0f32).round(), -1.0f32);
-    assert_approx_eq!((-1.3f32).round(), -1.0f32);
-    assert_approx_eq!((-1.5f32).round(), -2.0f32);
-    assert_approx_eq!((-1.7f32).round(), -2.0f32);
-}
-
-#[test]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f32.round_ties_even(), 2.0f32);
-    assert_approx_eq!(1.0f32.round_ties_even(), 1.0f32);
-    assert_approx_eq!(1.3f32.round_ties_even(), 1.0f32);
-    assert_approx_eq!(1.5f32.round_ties_even(), 2.0f32);
-    assert_approx_eq!(1.7f32.round_ties_even(), 2.0f32);
-    assert_approx_eq!(0.0f32.round_ties_even(), 0.0f32);
-    assert_approx_eq!((-0.0f32).round_ties_even(), -0.0f32);
-    assert_approx_eq!((-1.0f32).round_ties_even(), -1.0f32);
-    assert_approx_eq!((-1.3f32).round_ties_even(), -1.0f32);
-    assert_approx_eq!((-1.5f32).round_ties_even(), -2.0f32);
-    assert_approx_eq!((-1.7f32).round_ties_even(), -2.0f32);
-}
-
-#[test]
-fn test_trunc() {
-    assert_approx_eq!(1.0f32.trunc(), 1.0f32);
-    assert_approx_eq!(1.3f32.trunc(), 1.0f32);
-    assert_approx_eq!(1.5f32.trunc(), 1.0f32);
-    assert_approx_eq!(1.7f32.trunc(), 1.0f32);
-    assert_approx_eq!(0.0f32.trunc(), 0.0f32);
-    assert_approx_eq!((-0.0f32).trunc(), -0.0f32);
-    assert_approx_eq!((-1.0f32).trunc(), -1.0f32);
-    assert_approx_eq!((-1.3f32).trunc(), -1.0f32);
-    assert_approx_eq!((-1.5f32).trunc(), -1.0f32);
-    assert_approx_eq!((-1.7f32).trunc(), -1.0f32);
-}
-
-#[test]
-fn test_fract() {
-    assert_approx_eq!(1.0f32.fract(), 0.0f32);
-    assert_approx_eq!(1.3f32.fract(), 0.3f32);
-    assert_approx_eq!(1.5f32.fract(), 0.5f32);
-    assert_approx_eq!(1.7f32.fract(), 0.7f32);
-    assert_approx_eq!(0.0f32.fract(), 0.0f32);
-    assert_approx_eq!((-0.0f32).fract(), -0.0f32);
-    assert_approx_eq!((-1.0f32).fract(), -0.0f32);
-    assert_approx_eq!((-1.3f32).fract(), -0.3f32);
-    assert_approx_eq!((-1.5f32).fract(), -0.5f32);
-    assert_approx_eq!((-1.7f32).fract(), -0.7f32);
-}
-
-#[test]
-fn test_abs() {
-    assert_eq!(f32::INFINITY.abs(), f32::INFINITY);
-    assert_eq!(1f32.abs(), 1f32);
-    assert_eq!(0f32.abs(), 0f32);
-    assert_eq!((-0f32).abs(), 0f32);
-    assert_eq!((-1f32).abs(), 1f32);
-    assert_eq!(f32::NEG_INFINITY.abs(), f32::INFINITY);
-    assert_eq!((1f32 / f32::NEG_INFINITY).abs(), 0f32);
-    assert!(f32::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_signum() {
-    assert_eq!(f32::INFINITY.signum(), 1f32);
-    assert_eq!(1f32.signum(), 1f32);
-    assert_eq!(0f32.signum(), 1f32);
-    assert_eq!((-0f32).signum(), -1f32);
-    assert_eq!((-1f32).signum(), -1f32);
-    assert_eq!(f32::NEG_INFINITY.signum(), -1f32);
-    assert_eq!((1f32 / f32::NEG_INFINITY).signum(), -1f32);
-    assert!(f32::NAN.signum().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f32::INFINITY.is_sign_positive());
-    assert!(1f32.is_sign_positive());
-    assert!(0f32.is_sign_positive());
-    assert!(!(-0f32).is_sign_positive());
-    assert!(!(-1f32).is_sign_positive());
-    assert!(!f32::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f32 / f32::NEG_INFINITY).is_sign_positive());
-    assert!(f32::NAN.is_sign_positive());
-    assert!(!(-f32::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f32::INFINITY.is_sign_negative());
-    assert!(!1f32.is_sign_negative());
-    assert!(!0f32.is_sign_negative());
-    assert!((-0f32).is_sign_negative());
-    assert!((-1f32).is_sign_negative());
-    assert!(f32::NEG_INFINITY.is_sign_negative());
-    assert!((1f32 / f32::NEG_INFINITY).is_sign_negative());
-    assert!(!f32::NAN.is_sign_negative());
-    assert!((-f32::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f32::from_bits(TINY_BITS);
-    let tiny_up = f32::from_bits(TINY_UP_BITS);
-    let max_down = f32::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f32::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f32::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f32_biteq!(f32::NEG_INFINITY.next_up(), f32::MIN);
-    assert_f32_biteq!(f32::MIN.next_up(), -max_down);
-    assert_f32_biteq!((-1.0 - f32::EPSILON).next_up(), -1.0);
-    assert_f32_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f32_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f32_biteq!((-tiny).next_up(), -0.0f32);
-    assert_f32_biteq!((-0.0f32).next_up(), tiny);
-    assert_f32_biteq!(0.0f32.next_up(), tiny);
-    assert_f32_biteq!(tiny.next_up(), tiny_up);
-    assert_f32_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f32_biteq!(1.0f32.next_up(), 1.0 + f32::EPSILON);
-    assert_f32_biteq!(f32::MAX.next_up(), f32::INFINITY);
-    assert_f32_biteq!(f32::INFINITY.next_up(), f32::INFINITY);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f32::NAN;
-    let nan1 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK2);
-    assert_f32_biteq!(nan0.next_up(), nan0);
-    assert_f32_biteq!(nan1.next_up(), nan1);
-    assert_f32_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f32::from_bits(TINY_BITS);
-    let tiny_up = f32::from_bits(TINY_UP_BITS);
-    let max_down = f32::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f32::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f32::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f32_biteq!(f32::NEG_INFINITY.next_down(), f32::NEG_INFINITY);
-    assert_f32_biteq!(f32::MIN.next_down(), f32::NEG_INFINITY);
-    assert_f32_biteq!((-max_down).next_down(), f32::MIN);
-    assert_f32_biteq!((-1.0f32).next_down(), -1.0 - f32::EPSILON);
-    assert_f32_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f32_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f32_biteq!((-0.0f32).next_down(), -tiny);
-    assert_f32_biteq!((0.0f32).next_down(), -tiny);
-    assert_f32_biteq!(tiny.next_down(), 0.0f32);
-    assert_f32_biteq!(tiny_up.next_down(), tiny);
-    assert_f32_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f32_biteq!((1.0 + f32::EPSILON).next_down(), 1.0f32);
-    assert_f32_biteq!(f32::MAX.next_down(), max_down);
-    assert_f32_biteq!(f32::INFINITY.next_down(), f32::MAX);
-
-    // Check that NaNs roundtrip.
-    let nan0 = f32::NAN;
-    let nan1 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f32::from_bits(f32::NAN.to_bits() ^ NAN_MASK2);
-    assert_f32_biteq!(nan0.next_down(), nan0);
-    assert_f32_biteq!(nan1.next_down(), nan1);
-    assert_f32_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-fn test_mul_add() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_approx_eq!(12.3f32.mul_add(4.5, 6.7), 62.05);
-    assert_approx_eq!((-12.3f32).mul_add(-4.5, -6.7), 48.65);
-    assert_approx_eq!(0.0f32.mul_add(8.9, 1.2), 1.2);
-    assert_approx_eq!(3.4f32.mul_add(-0.0, 5.6), 5.6);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f32.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f32).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-fn test_recip() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(1.0f32.recip(), 1.0);
-    assert_eq!(2.0f32.recip(), 0.5);
-    assert_eq!((-0.4f32).recip(), -2.5);
-    assert_eq!(0.0f32.recip(), inf);
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-#[test]
-fn test_powi() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(1.0f32.powi(1), 1.0);
-    assert_approx_eq!((-3.1f32).powi(2), 9.61);
-    assert_approx_eq!(5.9f32.powi(-2), 0.028727);
-    assert_eq!(8.3f32.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
-fn test_powf() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(1.0f32.powf(1.0), 1.0);
-    assert_approx_eq!(3.4f32.powf(4.5), 246.408218);
-    assert_approx_eq!(2.7f32.powf(-3.2), 0.041652);
-    assert_approx_eq!((-3.1f32).powf(2.0), 9.61);
-    assert_approx_eq!(5.9f32.powf(-2.0), 0.028727);
-    assert_eq!(8.3f32.powf(0.0), 1.0);
-    assert!(nan.powf(2.0).is_nan());
-    assert_eq!(inf.powf(2.0), inf);
-    assert_eq!(neg_inf.powf(3.0), neg_inf);
-}
-
-#[test]
-fn test_sqrt_domain() {
-    assert!(f32::NAN.sqrt().is_nan());
-    assert!(f32::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f32).sqrt().is_nan());
-    assert_eq!((-0.0f32).sqrt(), -0.0);
-    assert_eq!(0.0f32.sqrt(), 0.0);
-    assert_eq!(1.0f32.sqrt(), 1.0);
-    assert_eq!(f32::INFINITY.sqrt(), f32::INFINITY);
-}
-
-#[test]
-fn test_exp() {
-    assert_eq!(1.0, 0.0f32.exp());
-    assert_approx_eq!(2.718282, 1.0f32.exp());
-    assert_approx_eq!(148.413162, 5.0f32.exp());
-
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let nan: f32 = f32::NAN;
-    assert_eq!(inf, inf.exp());
-    assert_eq!(0.0, neg_inf.exp());
-    assert!(nan.exp().is_nan());
-}
-
-#[test]
-fn test_exp2() {
-    assert_eq!(32.0, 5.0f32.exp2());
-    assert_eq!(1.0, 0.0f32.exp2());
-
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let nan: f32 = f32::NAN;
-    assert_eq!(inf, inf.exp2());
-    assert_eq!(0.0, neg_inf.exp2());
-    assert!(nan.exp2().is_nan());
-}
-
-#[test]
-fn test_ln() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_approx_eq!(1.0f32.exp().ln(), 1.0);
-    assert!(nan.ln().is_nan());
-    assert_eq!(inf.ln(), inf);
-    assert!(neg_inf.ln().is_nan());
-    assert!((-2.3f32).ln().is_nan());
-    assert_eq!((-0.0f32).ln(), neg_inf);
-    assert_eq!(0.0f32.ln(), neg_inf);
-    assert_approx_eq!(4.0f32.ln(), 1.386294);
-}
-
-#[test]
-fn test_log() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(10.0f32.log(10.0), 1.0);
-    assert_approx_eq!(2.3f32.log(3.5), 0.664858);
-    assert_eq!(1.0f32.exp().log(1.0f32.exp()), 1.0);
-    assert!(1.0f32.log(1.0).is_nan());
-    assert!(1.0f32.log(-13.9).is_nan());
-    assert!(nan.log(2.3).is_nan());
-    assert_eq!(inf.log(10.0), inf);
-    assert!(neg_inf.log(8.8).is_nan());
-    assert!((-2.3f32).log(0.1).is_nan());
-    assert_eq!((-0.0f32).log(2.0), neg_inf);
-    assert_eq!(0.0f32.log(7.0), neg_inf);
-}
-
-#[test]
-fn test_log2() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_approx_eq!(10.0f32.log2(), 3.321928);
-    assert_approx_eq!(2.3f32.log2(), 1.201634);
-    assert_approx_eq!(1.0f32.exp().log2(), 1.442695);
-    assert!(nan.log2().is_nan());
-    assert_eq!(inf.log2(), inf);
-    assert!(neg_inf.log2().is_nan());
-    assert!((-2.3f32).log2().is_nan());
-    assert_eq!((-0.0f32).log2(), neg_inf);
-    assert_eq!(0.0f32.log2(), neg_inf);
-}
-
-#[test]
-fn test_log10() {
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(10.0f32.log10(), 1.0);
-    assert_approx_eq!(2.3f32.log10(), 0.361728);
-    assert_approx_eq!(1.0f32.exp().log10(), 0.434294);
-    assert_eq!(1.0f32.log10(), 0.0);
-    assert!(nan.log10().is_nan());
-    assert_eq!(inf.log10(), inf);
-    assert!(neg_inf.log10().is_nan());
-    assert!((-2.3f32).log10().is_nan());
-    assert_eq!((-0.0f32).log10(), neg_inf);
-    assert_eq!(0.0f32.log10(), neg_inf);
-}
-
-#[test]
-fn test_to_degrees() {
-    let pi: f32 = consts::PI;
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(0.0f32.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f32).to_degrees(), -332.315521);
-    assert_eq!(pi.to_degrees(), 180.0);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-    assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f32 = consts::PI;
-    let nan: f32 = f32::NAN;
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    assert_eq!(0.0f32.to_radians(), 0.0);
-    assert_approx_eq!(154.6f32.to_radians(), 2.698279);
-    assert_approx_eq!((-332.31f32).to_radians(), -5.799903);
-    assert_eq!(180.0f32.to_radians(), pi);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
-fn test_asinh() {
-    assert_eq!(0.0f32.asinh(), 0.0f32);
-    assert_eq!((-0.0f32).asinh(), -0.0f32);
-
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let nan: f32 = f32::NAN;
-    assert_eq!(inf.asinh(), inf);
-    assert_eq!(neg_inf.asinh(), neg_inf);
-    assert!(nan.asinh().is_nan());
-    assert!((-0.0f32).asinh().is_sign_negative()); // issue 63271
-    assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32);
-    assert_approx_eq!((-2.0f32).asinh(), -1.443635475178810342493276740273105f32);
-    // regression test for the catastrophic cancellation fixed in 72486
-    assert_approx_eq!((-3000.0f32).asinh(), -8.699514775987968673236893537700647f32);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(60.0f32, 60.0f32.sinh().asinh());
-    // mul needed for approximate comparison to be meaningful
-    assert_approx_eq!(1.0f32, 1e-15f32.sinh().asinh() * 1e15f32);
-}
-
-#[test]
-fn test_acosh() {
-    assert_eq!(1.0f32.acosh(), 0.0f32);
-    assert!(0.999f32.acosh().is_nan());
-
-    let inf: f32 = f32::INFINITY;
-    let neg_inf: f32 = f32::NEG_INFINITY;
-    let nan: f32 = f32::NAN;
-    assert_eq!(inf.acosh(), inf);
-    assert!(neg_inf.acosh().is_nan());
-    assert!(nan.acosh().is_nan());
-    assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32);
-    assert_approx_eq!(3.0f32.acosh(), 1.76274717403908605046521864995958461f32);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(60.0f32, 60.0f32.cosh().acosh());
-}
-
-#[test]
-fn test_atanh() {
-    assert_eq!(0.0f32.atanh(), 0.0f32);
-    assert_eq!((-0.0f32).atanh(), -0.0f32);
-
-    let inf32: f32 = f32::INFINITY;
-    let neg_inf32: f32 = f32::NEG_INFINITY;
-    assert_eq!(1.0f32.atanh(), inf32);
-    assert_eq!((-1.0f32).atanh(), neg_inf32);
-
-    assert!(2f64.atanh().atanh().is_nan());
-    assert!((-2f64).atanh().atanh().is_nan());
-
-    let inf64: f32 = f32::INFINITY;
-    let neg_inf64: f32 = f32::NEG_INFINITY;
-    let nan32: f32 = f32::NAN;
-    assert!(inf64.atanh().is_nan());
-    assert!(neg_inf64.atanh().is_nan());
-    assert!(nan32.atanh().is_nan());
-
-    assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32);
-    assert_approx_eq!((-0.5f32).atanh(), -0.54930614433405484569762261846126285f32);
-}
-
-#[test]
-fn test_gamma() {
-    // precision can differ between platforms
-    assert_approx_eq!(1.0f32.gamma(), 1.0f32);
-    assert_approx_eq!(2.0f32.gamma(), 1.0f32);
-    assert_approx_eq!(3.0f32.gamma(), 2.0f32);
-    assert_approx_eq!(4.0f32.gamma(), 6.0f32);
-    assert_approx_eq!(5.0f32.gamma(), 24.0f32);
-    assert_approx_eq!(0.5f32.gamma(), consts::PI.sqrt());
-    assert_approx_eq!((-0.5f32).gamma(), -2.0 * consts::PI.sqrt());
-    assert_eq!(0.0f32.gamma(), f32::INFINITY);
-    assert_eq!((-0.0f32).gamma(), f32::NEG_INFINITY);
-    assert!((-1.0f32).gamma().is_nan());
-    assert!((-2.0f32).gamma().is_nan());
-    assert!(f32::NAN.gamma().is_nan());
-    assert!(f32::NEG_INFINITY.gamma().is_nan());
-    assert_eq!(f32::INFINITY.gamma(), f32::INFINITY);
-    assert_eq!(171.71f32.gamma(), f32::INFINITY);
-}
-
-#[test]
-fn test_ln_gamma() {
-    assert_approx_eq!(1.0f32.ln_gamma().0, 0.0f32);
-    assert_eq!(1.0f32.ln_gamma().1, 1);
-    assert_approx_eq!(2.0f32.ln_gamma().0, 0.0f32);
-    assert_eq!(2.0f32.ln_gamma().1, 1);
-    assert_approx_eq!(3.0f32.ln_gamma().0, 2.0f32.ln());
-    assert_eq!(3.0f32.ln_gamma().1, 1);
-    assert_approx_eq!((-0.5f32).ln_gamma().0, (2.0 * consts::PI.sqrt()).ln());
-    assert_eq!((-0.5f32).ln_gamma().1, -1);
-}
-
-#[test]
-fn test_real_consts() {
-    use super::consts;
-
-    let pi: f32 = consts::PI;
-    let frac_pi_2: f32 = consts::FRAC_PI_2;
-    let frac_pi_3: f32 = consts::FRAC_PI_3;
-    let frac_pi_4: f32 = consts::FRAC_PI_4;
-    let frac_pi_6: f32 = consts::FRAC_PI_6;
-    let frac_pi_8: f32 = consts::FRAC_PI_8;
-    let frac_1_pi: f32 = consts::FRAC_1_PI;
-    let frac_2_pi: f32 = consts::FRAC_2_PI;
-    let frac_2_sqrtpi: f32 = consts::FRAC_2_SQRT_PI;
-    let sqrt2: f32 = consts::SQRT_2;
-    let frac_1_sqrt2: f32 = consts::FRAC_1_SQRT_2;
-    let e: f32 = consts::E;
-    let log2_e: f32 = consts::LOG2_E;
-    let log10_e: f32 = consts::LOG10_E;
-    let ln_2: f32 = consts::LN_2;
-    let ln_10: f32 = consts::LN_10;
-
-    assert_approx_eq!(frac_pi_2, pi / 2f32);
-    assert_approx_eq!(frac_pi_3, pi / 3f32);
-    assert_approx_eq!(frac_pi_4, pi / 4f32);
-    assert_approx_eq!(frac_pi_6, pi / 6f32);
-    assert_approx_eq!(frac_pi_8, pi / 8f32);
-    assert_approx_eq!(frac_1_pi, 1f32 / pi);
-    assert_approx_eq!(frac_2_pi, 2f32 / pi);
-    assert_approx_eq!(frac_2_sqrtpi, 2f32 / pi.sqrt());
-    assert_approx_eq!(sqrt2, 2f32.sqrt());
-    assert_approx_eq!(frac_1_sqrt2, 1f32 / 2f32.sqrt());
-    assert_approx_eq!(log2_e, e.log2());
-    assert_approx_eq!(log10_e, e.log10());
-    assert_approx_eq!(ln_2, 2f32.ln());
-    assert_approx_eq!(ln_10, 10f32.ln());
-}
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f32).to_bits(), 0x3f800000);
-    assert_eq!((12.5f32).to_bits(), 0x41480000);
-    assert_eq!((1337f32).to_bits(), 0x44a72000);
-    assert_eq!((-14.25f32).to_bits(), 0xc1640000);
-    assert_approx_eq!(f32::from_bits(0x3f800000), 1.0);
-    assert_approx_eq!(f32::from_bits(0x41480000), 12.5);
-    assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0);
-    assert_approx_eq!(f32::from_bits(0xc1640000), -14.25);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
-    let masked_nan1 = f32::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f32::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f32::from_bits(masked_nan1).is_nan());
-    assert!(f32::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f32.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f32.clamp(f32::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f32.clamp(3.0, f32::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u32 {
-        1 << (f32::MANTISSA_DIGITS - 2)
-    }
-
-    fn min_subnorm() -> f32 {
-        f32::MIN_POSITIVE / f32::powf(2.0, f32::MANTISSA_DIGITS as f32 - 1.0)
-    }
-
-    fn max_subnorm() -> f32 {
-        f32::MIN_POSITIVE - min_subnorm()
-    }
-
-    fn q_nan() -> f32 {
-        f32::from_bits(f32::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f32 {
-        f32::from_bits((f32::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f32::INFINITY).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Equal, (-f32::MAX).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f32).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f32).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f32).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f32).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f32::MIN_POSITIVE).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f32).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f32.total_cmp(&0.0));
-    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f32::MIN_POSITIVE.total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f32.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f32.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f32.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f32.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f32::MAX.total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Equal, f32::INFINITY.total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Less, (-f32::INFINITY).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Less, (-f32::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f32).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f32).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f32).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f32).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-f32::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f32).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, 0.0_f32.total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f32::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f32.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f32.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f32.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f32.total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Less, f32::MAX.total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Less, f32::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f32::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f32::MAX).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f32).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f32).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f32).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f32).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f32::MIN_POSITIVE).total_cmp(&-0.5));
-    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Greater, (-0.0_f32).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f32.total_cmp(&-0.0));
-    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Greater, f32::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f32.total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f32.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f32.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f32.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f32::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f32::INFINITY.total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
diff --git a/library/std/src/f64.rs b/library/std/src/f64.rs
index 9bb4bfbab2a..cb62b2cc9df 100644
--- a/library/std/src/f64.rs
+++ b/library/std/src/f64.rs
@@ -12,9 +12,6 @@
 #![stable(feature = "rust1", since = "1.0.0")]
 #![allow(missing_docs)]
 
-#[cfg(test)]
-mod tests;
-
 #[stable(feature = "rust1", since = "1.0.0")]
 #[allow(deprecated, deprecated_in_future)]
 pub use core::f64::{
diff --git a/library/std/src/f64/tests.rs b/library/std/src/f64/tests.rs
deleted file mode 100644
index f5ba2c7b594..00000000000
--- a/library/std/src/f64/tests.rs
+++ /dev/null
@@ -1,897 +0,0 @@
-use crate::f64::consts;
-use crate::num::{FpCategory as Fp, *};
-
-/// Smallest number
-const TINY_BITS: u64 = 0x1;
-
-/// Next smallest number
-const TINY_UP_BITS: u64 = 0x2;
-
-/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
-const MAX_DOWN_BITS: u64 = 0x7fef_ffff_ffff_fffe;
-
-/// Zeroed exponent, full significant
-const LARGEST_SUBNORMAL_BITS: u64 = 0x000f_ffff_ffff_ffff;
-
-/// Exponent = 0b1, zeroed significand
-const SMALLEST_NORMAL_BITS: u64 = 0x0010_0000_0000_0000;
-
-/// First pattern over the mantissa
-const NAN_MASK1: u64 = 0x000a_aaaa_aaaa_aaaa;
-
-/// Second pattern over the mantissa
-const NAN_MASK2: u64 = 0x0005_5555_5555_5555;
-
-#[allow(unused_macros)]
-macro_rules! assert_f64_biteq {
-    ($left : expr, $right : expr) => {
-        let l: &f64 = &$left;
-        let r: &f64 = &$right;
-        let lb = l.to_bits();
-        let rb = r.to_bits();
-        assert_eq!(lb, rb, "float {l} ({lb:#018x}) is not bitequal to {r} ({rb:#018x})");
-    };
-}
-
-#[test]
-fn test_num_f64() {
-    test_num(10f64, 2f64);
-}
-
-#[test]
-fn test_min_nan() {
-    assert_eq!(f64::NAN.min(2.0), 2.0);
-    assert_eq!(2.0f64.min(f64::NAN), 2.0);
-}
-
-#[test]
-fn test_max_nan() {
-    assert_eq!(f64::NAN.max(2.0), 2.0);
-    assert_eq!(2.0f64.max(f64::NAN), 2.0);
-}
-
-#[test]
-fn test_nan() {
-    let nan: f64 = f64::NAN;
-    assert!(nan.is_nan());
-    assert!(!nan.is_infinite());
-    assert!(!nan.is_finite());
-    assert!(!nan.is_normal());
-    assert!(nan.is_sign_positive());
-    assert!(!nan.is_sign_negative());
-    assert_eq!(Fp::Nan, nan.classify());
-}
-
-#[test]
-fn test_infinity() {
-    let inf: f64 = f64::INFINITY;
-    assert!(inf.is_infinite());
-    assert!(!inf.is_finite());
-    assert!(inf.is_sign_positive());
-    assert!(!inf.is_sign_negative());
-    assert!(!inf.is_nan());
-    assert!(!inf.is_normal());
-    assert_eq!(Fp::Infinite, inf.classify());
-}
-
-#[test]
-fn test_neg_infinity() {
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(neg_inf.is_infinite());
-    assert!(!neg_inf.is_finite());
-    assert!(!neg_inf.is_sign_positive());
-    assert!(neg_inf.is_sign_negative());
-    assert!(!neg_inf.is_nan());
-    assert!(!neg_inf.is_normal());
-    assert_eq!(Fp::Infinite, neg_inf.classify());
-}
-
-#[test]
-fn test_zero() {
-    let zero: f64 = 0.0f64;
-    assert_eq!(0.0, zero);
-    assert!(!zero.is_infinite());
-    assert!(zero.is_finite());
-    assert!(zero.is_sign_positive());
-    assert!(!zero.is_sign_negative());
-    assert!(!zero.is_nan());
-    assert!(!zero.is_normal());
-    assert_eq!(Fp::Zero, zero.classify());
-}
-
-#[test]
-fn test_neg_zero() {
-    let neg_zero: f64 = -0.0;
-    assert_eq!(0.0, neg_zero);
-    assert!(!neg_zero.is_infinite());
-    assert!(neg_zero.is_finite());
-    assert!(!neg_zero.is_sign_positive());
-    assert!(neg_zero.is_sign_negative());
-    assert!(!neg_zero.is_nan());
-    assert!(!neg_zero.is_normal());
-    assert_eq!(Fp::Zero, neg_zero.classify());
-}
-
-#[test]
-fn test_one() {
-    let one: f64 = 1.0f64;
-    assert_eq!(1.0, one);
-    assert!(!one.is_infinite());
-    assert!(one.is_finite());
-    assert!(one.is_sign_positive());
-    assert!(!one.is_sign_negative());
-    assert!(!one.is_nan());
-    assert!(one.is_normal());
-    assert_eq!(Fp::Normal, one.classify());
-}
-
-#[test]
-fn test_is_nan() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(nan.is_nan());
-    assert!(!0.0f64.is_nan());
-    assert!(!5.3f64.is_nan());
-    assert!(!(-10.732f64).is_nan());
-    assert!(!inf.is_nan());
-    assert!(!neg_inf.is_nan());
-}
-
-#[test]
-fn test_is_infinite() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(!nan.is_infinite());
-    assert!(inf.is_infinite());
-    assert!(neg_inf.is_infinite());
-    assert!(!0.0f64.is_infinite());
-    assert!(!42.8f64.is_infinite());
-    assert!(!(-109.2f64).is_infinite());
-}
-
-#[test]
-fn test_is_finite() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert!(!nan.is_finite());
-    assert!(!inf.is_finite());
-    assert!(!neg_inf.is_finite());
-    assert!(0.0f64.is_finite());
-    assert!(42.8f64.is_finite());
-    assert!((-109.2f64).is_finite());
-}
-
-#[test]
-fn test_is_normal() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let zero: f64 = 0.0f64;
-    let neg_zero: f64 = -0.0;
-    assert!(!nan.is_normal());
-    assert!(!inf.is_normal());
-    assert!(!neg_inf.is_normal());
-    assert!(!zero.is_normal());
-    assert!(!neg_zero.is_normal());
-    assert!(1f64.is_normal());
-    assert!(1e-307f64.is_normal());
-    assert!(!1e-308f64.is_normal());
-}
-
-#[test]
-fn test_classify() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let zero: f64 = 0.0f64;
-    let neg_zero: f64 = -0.0;
-    assert_eq!(nan.classify(), Fp::Nan);
-    assert_eq!(inf.classify(), Fp::Infinite);
-    assert_eq!(neg_inf.classify(), Fp::Infinite);
-    assert_eq!(zero.classify(), Fp::Zero);
-    assert_eq!(neg_zero.classify(), Fp::Zero);
-    assert_eq!(1e-307f64.classify(), Fp::Normal);
-    assert_eq!(1e-308f64.classify(), Fp::Subnormal);
-}
-
-#[test]
-fn test_floor() {
-    assert_approx_eq!(1.0f64.floor(), 1.0f64);
-    assert_approx_eq!(1.3f64.floor(), 1.0f64);
-    assert_approx_eq!(1.5f64.floor(), 1.0f64);
-    assert_approx_eq!(1.7f64.floor(), 1.0f64);
-    assert_approx_eq!(0.0f64.floor(), 0.0f64);
-    assert_approx_eq!((-0.0f64).floor(), -0.0f64);
-    assert_approx_eq!((-1.0f64).floor(), -1.0f64);
-    assert_approx_eq!((-1.3f64).floor(), -2.0f64);
-    assert_approx_eq!((-1.5f64).floor(), -2.0f64);
-    assert_approx_eq!((-1.7f64).floor(), -2.0f64);
-}
-
-#[test]
-fn test_ceil() {
-    assert_approx_eq!(1.0f64.ceil(), 1.0f64);
-    assert_approx_eq!(1.3f64.ceil(), 2.0f64);
-    assert_approx_eq!(1.5f64.ceil(), 2.0f64);
-    assert_approx_eq!(1.7f64.ceil(), 2.0f64);
-    assert_approx_eq!(0.0f64.ceil(), 0.0f64);
-    assert_approx_eq!((-0.0f64).ceil(), -0.0f64);
-    assert_approx_eq!((-1.0f64).ceil(), -1.0f64);
-    assert_approx_eq!((-1.3f64).ceil(), -1.0f64);
-    assert_approx_eq!((-1.5f64).ceil(), -1.0f64);
-    assert_approx_eq!((-1.7f64).ceil(), -1.0f64);
-}
-
-#[test]
-fn test_round() {
-    assert_approx_eq!(2.5f64.round(), 3.0f64);
-    assert_approx_eq!(1.0f64.round(), 1.0f64);
-    assert_approx_eq!(1.3f64.round(), 1.0f64);
-    assert_approx_eq!(1.5f64.round(), 2.0f64);
-    assert_approx_eq!(1.7f64.round(), 2.0f64);
-    assert_approx_eq!(0.0f64.round(), 0.0f64);
-    assert_approx_eq!((-0.0f64).round(), -0.0f64);
-    assert_approx_eq!((-1.0f64).round(), -1.0f64);
-    assert_approx_eq!((-1.3f64).round(), -1.0f64);
-    assert_approx_eq!((-1.5f64).round(), -2.0f64);
-    assert_approx_eq!((-1.7f64).round(), -2.0f64);
-}
-
-#[test]
-fn test_round_ties_even() {
-    assert_approx_eq!(2.5f64.round_ties_even(), 2.0f64);
-    assert_approx_eq!(1.0f64.round_ties_even(), 1.0f64);
-    assert_approx_eq!(1.3f64.round_ties_even(), 1.0f64);
-    assert_approx_eq!(1.5f64.round_ties_even(), 2.0f64);
-    assert_approx_eq!(1.7f64.round_ties_even(), 2.0f64);
-    assert_approx_eq!(0.0f64.round_ties_even(), 0.0f64);
-    assert_approx_eq!((-0.0f64).round_ties_even(), -0.0f64);
-    assert_approx_eq!((-1.0f64).round_ties_even(), -1.0f64);
-    assert_approx_eq!((-1.3f64).round_ties_even(), -1.0f64);
-    assert_approx_eq!((-1.5f64).round_ties_even(), -2.0f64);
-    assert_approx_eq!((-1.7f64).round_ties_even(), -2.0f64);
-}
-
-#[test]
-fn test_trunc() {
-    assert_approx_eq!(1.0f64.trunc(), 1.0f64);
-    assert_approx_eq!(1.3f64.trunc(), 1.0f64);
-    assert_approx_eq!(1.5f64.trunc(), 1.0f64);
-    assert_approx_eq!(1.7f64.trunc(), 1.0f64);
-    assert_approx_eq!(0.0f64.trunc(), 0.0f64);
-    assert_approx_eq!((-0.0f64).trunc(), -0.0f64);
-    assert_approx_eq!((-1.0f64).trunc(), -1.0f64);
-    assert_approx_eq!((-1.3f64).trunc(), -1.0f64);
-    assert_approx_eq!((-1.5f64).trunc(), -1.0f64);
-    assert_approx_eq!((-1.7f64).trunc(), -1.0f64);
-}
-
-#[test]
-fn test_fract() {
-    assert_approx_eq!(1.0f64.fract(), 0.0f64);
-    assert_approx_eq!(1.3f64.fract(), 0.3f64);
-    assert_approx_eq!(1.5f64.fract(), 0.5f64);
-    assert_approx_eq!(1.7f64.fract(), 0.7f64);
-    assert_approx_eq!(0.0f64.fract(), 0.0f64);
-    assert_approx_eq!((-0.0f64).fract(), -0.0f64);
-    assert_approx_eq!((-1.0f64).fract(), -0.0f64);
-    assert_approx_eq!((-1.3f64).fract(), -0.3f64);
-    assert_approx_eq!((-1.5f64).fract(), -0.5f64);
-    assert_approx_eq!((-1.7f64).fract(), -0.7f64);
-}
-
-#[test]
-fn test_abs() {
-    assert_eq!(f64::INFINITY.abs(), f64::INFINITY);
-    assert_eq!(1f64.abs(), 1f64);
-    assert_eq!(0f64.abs(), 0f64);
-    assert_eq!((-0f64).abs(), 0f64);
-    assert_eq!((-1f64).abs(), 1f64);
-    assert_eq!(f64::NEG_INFINITY.abs(), f64::INFINITY);
-    assert_eq!((1f64 / f64::NEG_INFINITY).abs(), 0f64);
-    assert!(f64::NAN.abs().is_nan());
-}
-
-#[test]
-fn test_signum() {
-    assert_eq!(f64::INFINITY.signum(), 1f64);
-    assert_eq!(1f64.signum(), 1f64);
-    assert_eq!(0f64.signum(), 1f64);
-    assert_eq!((-0f64).signum(), -1f64);
-    assert_eq!((-1f64).signum(), -1f64);
-    assert_eq!(f64::NEG_INFINITY.signum(), -1f64);
-    assert_eq!((1f64 / f64::NEG_INFINITY).signum(), -1f64);
-    assert!(f64::NAN.signum().is_nan());
-}
-
-#[test]
-fn test_is_sign_positive() {
-    assert!(f64::INFINITY.is_sign_positive());
-    assert!(1f64.is_sign_positive());
-    assert!(0f64.is_sign_positive());
-    assert!(!(-0f64).is_sign_positive());
-    assert!(!(-1f64).is_sign_positive());
-    assert!(!f64::NEG_INFINITY.is_sign_positive());
-    assert!(!(1f64 / f64::NEG_INFINITY).is_sign_positive());
-    assert!(f64::NAN.is_sign_positive());
-    assert!(!(-f64::NAN).is_sign_positive());
-}
-
-#[test]
-fn test_is_sign_negative() {
-    assert!(!f64::INFINITY.is_sign_negative());
-    assert!(!1f64.is_sign_negative());
-    assert!(!0f64.is_sign_negative());
-    assert!((-0f64).is_sign_negative());
-    assert!((-1f64).is_sign_negative());
-    assert!(f64::NEG_INFINITY.is_sign_negative());
-    assert!((1f64 / f64::NEG_INFINITY).is_sign_negative());
-    assert!(!f64::NAN.is_sign_negative());
-    assert!((-f64::NAN).is_sign_negative());
-}
-
-#[test]
-fn test_next_up() {
-    let tiny = f64::from_bits(TINY_BITS);
-    let tiny_up = f64::from_bits(TINY_UP_BITS);
-    let max_down = f64::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f64::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f64::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f64_biteq!(f64::NEG_INFINITY.next_up(), f64::MIN);
-    assert_f64_biteq!(f64::MIN.next_up(), -max_down);
-    assert_f64_biteq!((-1.0 - f64::EPSILON).next_up(), -1.0);
-    assert_f64_biteq!((-smallest_normal).next_up(), -largest_subnormal);
-    assert_f64_biteq!((-tiny_up).next_up(), -tiny);
-    assert_f64_biteq!((-tiny).next_up(), -0.0f64);
-    assert_f64_biteq!((-0.0f64).next_up(), tiny);
-    assert_f64_biteq!(0.0f64.next_up(), tiny);
-    assert_f64_biteq!(tiny.next_up(), tiny_up);
-    assert_f64_biteq!(largest_subnormal.next_up(), smallest_normal);
-    assert_f64_biteq!(1.0f64.next_up(), 1.0 + f64::EPSILON);
-    assert_f64_biteq!(f64::MAX.next_up(), f64::INFINITY);
-    assert_f64_biteq!(f64::INFINITY.next_up(), f64::INFINITY);
-
-    let nan0 = f64::NAN;
-    let nan1 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK2);
-    assert_f64_biteq!(nan0.next_up(), nan0);
-    assert_f64_biteq!(nan1.next_up(), nan1);
-    assert_f64_biteq!(nan2.next_up(), nan2);
-}
-
-#[test]
-fn test_next_down() {
-    let tiny = f64::from_bits(TINY_BITS);
-    let tiny_up = f64::from_bits(TINY_UP_BITS);
-    let max_down = f64::from_bits(MAX_DOWN_BITS);
-    let largest_subnormal = f64::from_bits(LARGEST_SUBNORMAL_BITS);
-    let smallest_normal = f64::from_bits(SMALLEST_NORMAL_BITS);
-    assert_f64_biteq!(f64::NEG_INFINITY.next_down(), f64::NEG_INFINITY);
-    assert_f64_biteq!(f64::MIN.next_down(), f64::NEG_INFINITY);
-    assert_f64_biteq!((-max_down).next_down(), f64::MIN);
-    assert_f64_biteq!((-1.0f64).next_down(), -1.0 - f64::EPSILON);
-    assert_f64_biteq!((-largest_subnormal).next_down(), -smallest_normal);
-    assert_f64_biteq!((-tiny).next_down(), -tiny_up);
-    assert_f64_biteq!((-0.0f64).next_down(), -tiny);
-    assert_f64_biteq!((0.0f64).next_down(), -tiny);
-    assert_f64_biteq!(tiny.next_down(), 0.0f64);
-    assert_f64_biteq!(tiny_up.next_down(), tiny);
-    assert_f64_biteq!(smallest_normal.next_down(), largest_subnormal);
-    assert_f64_biteq!((1.0 + f64::EPSILON).next_down(), 1.0f64);
-    assert_f64_biteq!(f64::MAX.next_down(), max_down);
-    assert_f64_biteq!(f64::INFINITY.next_down(), f64::MAX);
-
-    let nan0 = f64::NAN;
-    let nan1 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK1);
-    let nan2 = f64::from_bits(f64::NAN.to_bits() ^ NAN_MASK2);
-    assert_f64_biteq!(nan0.next_down(), nan0);
-    assert_f64_biteq!(nan1.next_down(), nan1);
-    assert_f64_biteq!(nan2.next_down(), nan2);
-}
-
-#[test]
-fn test_mul_add() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05);
-    assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65);
-    assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2);
-    assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6);
-    assert!(nan.mul_add(7.8, 9.0).is_nan());
-    assert_eq!(inf.mul_add(7.8, 9.0), inf);
-    assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
-    assert_eq!(8.9f64.mul_add(inf, 3.2), inf);
-    assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf);
-}
-
-#[test]
-fn test_recip() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(1.0f64.recip(), 1.0);
-    assert_eq!(2.0f64.recip(), 0.5);
-    assert_eq!((-0.4f64).recip(), -2.5);
-    assert_eq!(0.0f64.recip(), inf);
-    assert!(nan.recip().is_nan());
-    assert_eq!(inf.recip(), 0.0);
-    assert_eq!(neg_inf.recip(), 0.0);
-}
-
-#[test]
-fn test_powi() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(1.0f64.powi(1), 1.0);
-    assert_approx_eq!((-3.1f64).powi(2), 9.61);
-    assert_approx_eq!(5.9f64.powi(-2), 0.028727);
-    assert_eq!(8.3f64.powi(0), 1.0);
-    assert!(nan.powi(2).is_nan());
-    assert_eq!(inf.powi(3), inf);
-    assert_eq!(neg_inf.powi(2), inf);
-}
-
-#[test]
-fn test_powf() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(1.0f64.powf(1.0), 1.0);
-    assert_approx_eq!(3.4f64.powf(4.5), 246.408183);
-    assert_approx_eq!(2.7f64.powf(-3.2), 0.041652);
-    assert_approx_eq!((-3.1f64).powf(2.0), 9.61);
-    assert_approx_eq!(5.9f64.powf(-2.0), 0.028727);
-    assert_eq!(8.3f64.powf(0.0), 1.0);
-    assert!(nan.powf(2.0).is_nan());
-    assert_eq!(inf.powf(2.0), inf);
-    assert_eq!(neg_inf.powf(3.0), neg_inf);
-}
-
-#[test]
-fn test_sqrt_domain() {
-    assert!(f64::NAN.sqrt().is_nan());
-    assert!(f64::NEG_INFINITY.sqrt().is_nan());
-    assert!((-1.0f64).sqrt().is_nan());
-    assert_eq!((-0.0f64).sqrt(), -0.0);
-    assert_eq!(0.0f64.sqrt(), 0.0);
-    assert_eq!(1.0f64.sqrt(), 1.0);
-    assert_eq!(f64::INFINITY.sqrt(), f64::INFINITY);
-}
-
-#[test]
-fn test_exp() {
-    assert_eq!(1.0, 0.0f64.exp());
-    assert_approx_eq!(2.718282, 1.0f64.exp());
-    assert_approx_eq!(148.413159, 5.0f64.exp());
-
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let nan: f64 = f64::NAN;
-    assert_eq!(inf, inf.exp());
-    assert_eq!(0.0, neg_inf.exp());
-    assert!(nan.exp().is_nan());
-}
-
-#[test]
-fn test_exp2() {
-    assert_eq!(32.0, 5.0f64.exp2());
-    assert_eq!(1.0, 0.0f64.exp2());
-
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let nan: f64 = f64::NAN;
-    assert_eq!(inf, inf.exp2());
-    assert_eq!(0.0, neg_inf.exp2());
-    assert!(nan.exp2().is_nan());
-}
-
-#[test]
-fn test_ln() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_approx_eq!(1.0f64.exp().ln(), 1.0);
-    assert!(nan.ln().is_nan());
-    assert_eq!(inf.ln(), inf);
-    assert!(neg_inf.ln().is_nan());
-    assert!((-2.3f64).ln().is_nan());
-    assert_eq!((-0.0f64).ln(), neg_inf);
-    assert_eq!(0.0f64.ln(), neg_inf);
-    assert_approx_eq!(4.0f64.ln(), 1.386294);
-}
-
-#[test]
-fn test_log() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(10.0f64.log(10.0), 1.0);
-    assert_approx_eq!(2.3f64.log(3.5), 0.664858);
-    assert_eq!(1.0f64.exp().log(1.0f64.exp()), 1.0);
-    assert!(1.0f64.log(1.0).is_nan());
-    assert!(1.0f64.log(-13.9).is_nan());
-    assert!(nan.log(2.3).is_nan());
-    assert_eq!(inf.log(10.0), inf);
-    assert!(neg_inf.log(8.8).is_nan());
-    assert!((-2.3f64).log(0.1).is_nan());
-    assert_eq!((-0.0f64).log(2.0), neg_inf);
-    assert_eq!(0.0f64.log(7.0), neg_inf);
-}
-
-#[test]
-fn test_log2() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_approx_eq!(10.0f64.log2(), 3.321928);
-    assert_approx_eq!(2.3f64.log2(), 1.201634);
-    assert_approx_eq!(1.0f64.exp().log2(), 1.442695);
-    assert!(nan.log2().is_nan());
-    assert_eq!(inf.log2(), inf);
-    assert!(neg_inf.log2().is_nan());
-    assert!((-2.3f64).log2().is_nan());
-    assert_eq!((-0.0f64).log2(), neg_inf);
-    assert_eq!(0.0f64.log2(), neg_inf);
-}
-
-#[test]
-fn test_log10() {
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(10.0f64.log10(), 1.0);
-    assert_approx_eq!(2.3f64.log10(), 0.361728);
-    assert_approx_eq!(1.0f64.exp().log10(), 0.434294);
-    assert_eq!(1.0f64.log10(), 0.0);
-    assert!(nan.log10().is_nan());
-    assert_eq!(inf.log10(), inf);
-    assert!(neg_inf.log10().is_nan());
-    assert!((-2.3f64).log10().is_nan());
-    assert_eq!((-0.0f64).log10(), neg_inf);
-    assert_eq!(0.0f64.log10(), neg_inf);
-}
-
-#[test]
-fn test_to_degrees() {
-    let pi: f64 = consts::PI;
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(0.0f64.to_degrees(), 0.0);
-    assert_approx_eq!((-5.8f64).to_degrees(), -332.315521);
-    assert_eq!(pi.to_degrees(), 180.0);
-    assert!(nan.to_degrees().is_nan());
-    assert_eq!(inf.to_degrees(), inf);
-    assert_eq!(neg_inf.to_degrees(), neg_inf);
-}
-
-#[test]
-fn test_to_radians() {
-    let pi: f64 = consts::PI;
-    let nan: f64 = f64::NAN;
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    assert_eq!(0.0f64.to_radians(), 0.0);
-    assert_approx_eq!(154.6f64.to_radians(), 2.698279);
-    assert_approx_eq!((-332.31f64).to_radians(), -5.799903);
-    assert_eq!(180.0f64.to_radians(), pi);
-    assert!(nan.to_radians().is_nan());
-    assert_eq!(inf.to_radians(), inf);
-    assert_eq!(neg_inf.to_radians(), neg_inf);
-}
-
-#[test]
-fn test_asinh() {
-    assert_eq!(0.0f64.asinh(), 0.0f64);
-    assert_eq!((-0.0f64).asinh(), -0.0f64);
-
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let nan: f64 = f64::NAN;
-    assert_eq!(inf.asinh(), inf);
-    assert_eq!(neg_inf.asinh(), neg_inf);
-    assert!(nan.asinh().is_nan());
-    assert!((-0.0f64).asinh().is_sign_negative());
-    // issue 63271
-    assert_approx_eq!(2.0f64.asinh(), 1.443635475178810342493276740273105f64);
-    assert_approx_eq!((-2.0f64).asinh(), -1.443635475178810342493276740273105f64);
-    // regression test for the catastrophic cancellation fixed in 72486
-    assert_approx_eq!((-67452098.07139316f64).asinh(), -18.72007542627454439398548429400083);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(60.0f64, 60.0f64.sinh().asinh());
-    // mul needed for approximate comparison to be meaningful
-    assert_approx_eq!(1.0f64, 1e-15f64.sinh().asinh() * 1e15f64);
-}
-
-#[test]
-fn test_acosh() {
-    assert_eq!(1.0f64.acosh(), 0.0f64);
-    assert!(0.999f64.acosh().is_nan());
-
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let nan: f64 = f64::NAN;
-    assert_eq!(inf.acosh(), inf);
-    assert!(neg_inf.acosh().is_nan());
-    assert!(nan.acosh().is_nan());
-    assert_approx_eq!(2.0f64.acosh(), 1.31695789692481670862504634730796844f64);
-    assert_approx_eq!(3.0f64.acosh(), 1.76274717403908605046521864995958461f64);
-
-    // test for low accuracy from issue 104548
-    assert_approx_eq!(60.0f64, 60.0f64.cosh().acosh());
-}
-
-#[test]
-fn test_atanh() {
-    assert_eq!(0.0f64.atanh(), 0.0f64);
-    assert_eq!((-0.0f64).atanh(), -0.0f64);
-
-    let inf: f64 = f64::INFINITY;
-    let neg_inf: f64 = f64::NEG_INFINITY;
-    let nan: f64 = f64::NAN;
-    assert_eq!(1.0f64.atanh(), inf);
-    assert_eq!((-1.0f64).atanh(), neg_inf);
-    assert!(2f64.atanh().atanh().is_nan());
-    assert!((-2f64).atanh().atanh().is_nan());
-    assert!(inf.atanh().is_nan());
-    assert!(neg_inf.atanh().is_nan());
-    assert!(nan.atanh().is_nan());
-    assert_approx_eq!(0.5f64.atanh(), 0.54930614433405484569762261846126285f64);
-    assert_approx_eq!((-0.5f64).atanh(), -0.54930614433405484569762261846126285f64);
-}
-
-#[test]
-fn test_gamma() {
-    // precision can differ between platforms
-    assert_approx_eq!(1.0f64.gamma(), 1.0f64);
-    assert_approx_eq!(2.0f64.gamma(), 1.0f64);
-    assert_approx_eq!(3.0f64.gamma(), 2.0f64);
-    assert_approx_eq!(4.0f64.gamma(), 6.0f64);
-    assert_approx_eq!(5.0f64.gamma(), 24.0f64);
-    assert_approx_eq!(0.5f64.gamma(), consts::PI.sqrt());
-    assert_approx_eq!((-0.5f64).gamma(), -2.0 * consts::PI.sqrt());
-    assert_eq!(0.0f64.gamma(), f64::INFINITY);
-    assert_eq!((-0.0f64).gamma(), f64::NEG_INFINITY);
-    assert!((-1.0f64).gamma().is_nan());
-    assert!((-2.0f64).gamma().is_nan());
-    assert!(f64::NAN.gamma().is_nan());
-    assert!(f64::NEG_INFINITY.gamma().is_nan());
-    assert_eq!(f64::INFINITY.gamma(), f64::INFINITY);
-    assert_eq!(171.71f64.gamma(), f64::INFINITY);
-}
-
-#[test]
-fn test_ln_gamma() {
-    assert_approx_eq!(1.0f64.ln_gamma().0, 0.0f64);
-    assert_eq!(1.0f64.ln_gamma().1, 1);
-    assert_approx_eq!(2.0f64.ln_gamma().0, 0.0f64);
-    assert_eq!(2.0f64.ln_gamma().1, 1);
-    assert_approx_eq!(3.0f64.ln_gamma().0, 2.0f64.ln());
-    assert_eq!(3.0f64.ln_gamma().1, 1);
-    assert_approx_eq!((-0.5f64).ln_gamma().0, (2.0 * consts::PI.sqrt()).ln());
-    assert_eq!((-0.5f64).ln_gamma().1, -1);
-}
-
-#[test]
-fn test_real_consts() {
-    use super::consts;
-    let pi: f64 = consts::PI;
-    let frac_pi_2: f64 = consts::FRAC_PI_2;
-    let frac_pi_3: f64 = consts::FRAC_PI_3;
-    let frac_pi_4: f64 = consts::FRAC_PI_4;
-    let frac_pi_6: f64 = consts::FRAC_PI_6;
-    let frac_pi_8: f64 = consts::FRAC_PI_8;
-    let frac_1_pi: f64 = consts::FRAC_1_PI;
-    let frac_2_pi: f64 = consts::FRAC_2_PI;
-    let frac_2_sqrtpi: f64 = consts::FRAC_2_SQRT_PI;
-    let sqrt2: f64 = consts::SQRT_2;
-    let frac_1_sqrt2: f64 = consts::FRAC_1_SQRT_2;
-    let e: f64 = consts::E;
-    let log2_e: f64 = consts::LOG2_E;
-    let log10_e: f64 = consts::LOG10_E;
-    let ln_2: f64 = consts::LN_2;
-    let ln_10: f64 = consts::LN_10;
-
-    assert_approx_eq!(frac_pi_2, pi / 2f64);
-    assert_approx_eq!(frac_pi_3, pi / 3f64);
-    assert_approx_eq!(frac_pi_4, pi / 4f64);
-    assert_approx_eq!(frac_pi_6, pi / 6f64);
-    assert_approx_eq!(frac_pi_8, pi / 8f64);
-    assert_approx_eq!(frac_1_pi, 1f64 / pi);
-    assert_approx_eq!(frac_2_pi, 2f64 / pi);
-    assert_approx_eq!(frac_2_sqrtpi, 2f64 / pi.sqrt());
-    assert_approx_eq!(sqrt2, 2f64.sqrt());
-    assert_approx_eq!(frac_1_sqrt2, 1f64 / 2f64.sqrt());
-    assert_approx_eq!(log2_e, e.log2());
-    assert_approx_eq!(log10_e, e.log10());
-    assert_approx_eq!(ln_2, 2f64.ln());
-    assert_approx_eq!(ln_10, 10f64.ln());
-}
-
-#[test]
-fn test_float_bits_conv() {
-    assert_eq!((1f64).to_bits(), 0x3ff0000000000000);
-    assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
-    assert_eq!((1337f64).to_bits(), 0x4094e40000000000);
-    assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000);
-    assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0);
-    assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5);
-    assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0);
-    assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25);
-
-    // Check that NaNs roundtrip their bits regardless of signaling-ness
-    let masked_nan1 = f64::NAN.to_bits() ^ NAN_MASK1;
-    let masked_nan2 = f64::NAN.to_bits() ^ NAN_MASK2;
-    assert!(f64::from_bits(masked_nan1).is_nan());
-    assert!(f64::from_bits(masked_nan2).is_nan());
-
-    assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1);
-    assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_greater_than_max() {
-    let _ = 1.0f64.clamp(3.0, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_min_is_nan() {
-    let _ = 1.0f64.clamp(f64::NAN, 1.0);
-}
-
-#[test]
-#[should_panic]
-fn test_clamp_max_is_nan() {
-    let _ = 1.0f64.clamp(3.0, f64::NAN);
-}
-
-#[test]
-fn test_total_cmp() {
-    use core::cmp::Ordering;
-
-    fn quiet_bit_mask() -> u64 {
-        1 << (f64::MANTISSA_DIGITS - 2)
-    }
-
-    fn min_subnorm() -> f64 {
-        f64::MIN_POSITIVE / f64::powf(2.0, f64::MANTISSA_DIGITS as f64 - 1.0)
-    }
-
-    fn max_subnorm() -> f64 {
-        f64::MIN_POSITIVE - min_subnorm()
-    }
-
-    fn q_nan() -> f64 {
-        f64::from_bits(f64::NAN.to_bits() | quiet_bit_mask())
-    }
-
-    fn s_nan() -> f64 {
-        f64::from_bits((f64::NAN.to_bits() & !quiet_bit_mask()) + 42)
-    }
-
-    assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Equal, (-f64::INFINITY).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Equal, (-f64::MAX).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Equal, (-2.5_f64).total_cmp(&-2.5));
-    assert_eq!(Ordering::Equal, (-1.0_f64).total_cmp(&-1.0));
-    assert_eq!(Ordering::Equal, (-1.5_f64).total_cmp(&-1.5));
-    assert_eq!(Ordering::Equal, (-0.5_f64).total_cmp(&-0.5));
-    assert_eq!(Ordering::Equal, (-f64::MIN_POSITIVE).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Equal, (-0.0_f64).total_cmp(&-0.0));
-    assert_eq!(Ordering::Equal, 0.0_f64.total_cmp(&0.0));
-    assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Equal, f64::MIN_POSITIVE.total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Equal, 0.5_f64.total_cmp(&0.5));
-    assert_eq!(Ordering::Equal, 1.0_f64.total_cmp(&1.0));
-    assert_eq!(Ordering::Equal, 1.5_f64.total_cmp(&1.5));
-    assert_eq!(Ordering::Equal, 2.5_f64.total_cmp(&2.5));
-    assert_eq!(Ordering::Equal, f64::MAX.total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Equal, f64::INFINITY.total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
-    assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Less, (-f64::INFINITY).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Less, (-f64::MAX).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-2.5_f64).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-1.5_f64).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-1.0_f64).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-0.5_f64).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-f64::MIN_POSITIVE).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-0.0_f64).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, 0.0_f64.total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, f64::MIN_POSITIVE.total_cmp(&0.5));
-    assert_eq!(Ordering::Less, 0.5_f64.total_cmp(&1.0));
-    assert_eq!(Ordering::Less, 1.0_f64.total_cmp(&1.5));
-    assert_eq!(Ordering::Less, 1.5_f64.total_cmp(&2.5));
-    assert_eq!(Ordering::Less, 2.5_f64.total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Less, f64::MAX.total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Less, f64::INFINITY.total_cmp(&s_nan()));
-    assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
-
-    assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
-    assert_eq!(Ordering::Greater, (-f64::INFINITY).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Greater, (-f64::MAX).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Greater, (-2.5_f64).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Greater, (-1.5_f64).total_cmp(&-2.5));
-    assert_eq!(Ordering::Greater, (-1.0_f64).total_cmp(&-1.5));
-    assert_eq!(Ordering::Greater, (-0.5_f64).total_cmp(&-1.0));
-    assert_eq!(Ordering::Greater, (-f64::MIN_POSITIVE).total_cmp(&-0.5));
-    assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Greater, (-0.0_f64).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Greater, 0.0_f64.total_cmp(&-0.0));
-    assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
-    assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Greater, f64::MIN_POSITIVE.total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Greater, 0.5_f64.total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Greater, 1.0_f64.total_cmp(&0.5));
-    assert_eq!(Ordering::Greater, 1.5_f64.total_cmp(&1.0));
-    assert_eq!(Ordering::Greater, 2.5_f64.total_cmp(&1.5));
-    assert_eq!(Ordering::Greater, f64::MAX.total_cmp(&2.5));
-    assert_eq!(Ordering::Greater, f64::INFINITY.total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Greater, s_nan().total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
-
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MIN_POSITIVE));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::MAX));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f64::INFINITY));
-    assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
-}
diff --git a/library/std/src/macros.rs b/library/std/src/macros.rs
index 1b0d7f3dbf2..e0f9f0bb5ce 100644
--- a/library/std/src/macros.rs
+++ b/library/std/src/macros.rs
@@ -372,18 +372,3 @@ macro_rules! dbg {
         ($($crate::dbg!($val)),+,)
     };
 }
-
-/// Verify that floats are within a tolerance of each other, 1.0e-6 by default.
-#[cfg(test)]
-macro_rules! assert_approx_eq {
-    ($a:expr, $b:expr) => {{ assert_approx_eq!($a, $b, 1.0e-6) }};
-    ($a:expr, $b:expr, $lim:expr) => {{
-        let (a, b) = (&$a, &$b);
-        let diff = (*a - *b).abs();
-        assert!(
-            diff < $lim,
-            "{a:?} is not approximately equal to {b:?} (threshold {lim:?}, difference {diff:?})",
-            lim = $lim
-        );
-    }};
-}
diff --git a/library/std/src/num.rs b/library/std/src/num.rs
index d2f679e7dde..dd76081532f 100644
--- a/library/std/src/num.rs
+++ b/library/std/src/num.rs
@@ -29,28 +29,3 @@ pub use core::num::{FpCategory, ParseFloatError, ParseIntError, TryFromIntError}
 pub use core::num::{NonZeroI8, NonZeroI16, NonZeroI32, NonZeroI64, NonZeroI128, NonZeroIsize};
 #[stable(feature = "nonzero", since = "1.28.0")]
 pub use core::num::{NonZeroU8, NonZeroU16, NonZeroU32, NonZeroU64, NonZeroU128, NonZeroUsize};
-
-#[cfg(test)]
-use crate::fmt;
-#[cfg(test)]
-use crate::ops::{Add, Div, Mul, Rem, Sub};
-
-/// Helper function for testing numeric operations
-#[cfg(test)]
-pub fn test_num<T>(ten: T, two: T)
-where
-    T: PartialEq
-        + Add<Output = T>
-        + Sub<Output = T>
-        + Mul<Output = T>
-        + Div<Output = T>
-        + Rem<Output = T>
-        + fmt::Debug
-        + Copy,
-{
-    assert_eq!(ten.add(two), ten + two);
-    assert_eq!(ten.sub(two), ten - two);
-    assert_eq!(ten.mul(two), ten * two);
-    assert_eq!(ten.div(two), ten / two);
-    assert_eq!(ten.rem(two), ten % two);
-}