From 48f3e63f709ec4a19fa2bdce33893fdc45006e46 Mon Sep 17 00:00:00 2001 From: Trevor Gross Date: Tue, 25 Feb 2025 06:09:33 +0000 Subject: Move float tests from std to core Many float-related tests in `std` only depend on `core`, so move the tests there. This also allows us to verify functions from `core_float_math`. Since the majority of test files need to be moved to `coretests`, move the files here without any cleanup; this is done in a followup commit. This makes git history slightly cleaner, but coretests will not build immediately after this commit. --- library/coretests/Cargo.toml | 11 + library/coretests/tests/floats/f128.rs | 1071 ++++++++++++++++++++++++++++++++ library/coretests/tests/floats/f16.rs | 1022 ++++++++++++++++++++++++++++++ library/coretests/tests/floats/f32.rs | 940 ++++++++++++++++++++++++++++ library/coretests/tests/floats/f64.rs | 917 +++++++++++++++++++++++++++ library/coretests/tests/floats/mod.rs | 44 ++ library/coretests/tests/lib.rs | 1 + library/std/tests/floats/f128.rs | 1071 -------------------------------- library/std/tests/floats/f16.rs | 1022 ------------------------------ library/std/tests/floats/f32.rs | 940 ---------------------------- library/std/tests/floats/f64.rs | 917 --------------------------- library/std/tests/floats/lib.rs | 44 -- 12 files changed, 4006 insertions(+), 3994 deletions(-) create mode 100644 library/coretests/tests/floats/f128.rs create mode 100644 library/coretests/tests/floats/f16.rs create mode 100644 library/coretests/tests/floats/f32.rs create mode 100644 library/coretests/tests/floats/f64.rs create mode 100644 library/coretests/tests/floats/mod.rs delete mode 100644 library/std/tests/floats/f128.rs delete mode 100644 library/std/tests/floats/f16.rs delete mode 100644 library/std/tests/floats/f32.rs delete mode 100644 library/std/tests/floats/f64.rs delete mode 100644 library/std/tests/floats/lib.rs (limited to 'library') diff --git a/library/coretests/Cargo.toml b/library/coretests/Cargo.toml index 7656388d24b..e0ddcd466ae 100644 --- a/library/coretests/Cargo.toml +++ b/library/coretests/Cargo.toml @@ -26,3 +26,14 @@ test = true [dev-dependencies] rand = { version = "0.9.0", default-features = false } rand_xorshift = { version = "0.4.0", default-features = false } + +[lints.rust.unexpected_cfgs] +level = "warn" +check-cfg = [ + # Internal features aren't marked known config by default, we use these to + # gate tests. + 'cfg(target_has_reliable_f16)', + 'cfg(target_has_reliable_f16_math)', + 'cfg(target_has_reliable_f128)', + 'cfg(target_has_reliable_f128_math)', +] diff --git a/library/coretests/tests/floats/f128.rs b/library/coretests/tests/floats/f128.rs new file mode 100644 index 00000000000..c2618f3b315 --- /dev/null +++ b/library/coretests/tests/floats/f128.rs @@ -0,0 +1,1071 @@ +// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy +#![cfg(target_has_reliable_f128)] + +use std::f128::consts; +use std::num::FpCategory as Fp; +#[cfg(not(miri))] +#[cfg(target_has_reliable_f128_math)] +use std::ops::Rem; +use std::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(not(miri))] +#[cfg(target_has_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); +} + +// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support +// the intrinsics. + +#[test] +#[cfg(not(miri))] +#[cfg(target_has_reliable_f128_math)] +fn test_num_f128_rem() { + let ten = 10f128; + let two = 2f128; + assert_eq!(ten.rem(two), ten % two); +} + +#[test] +#[cfg(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_reliable_f128_math)] +fn test_minimum() { + assert!(f128::NAN.minimum(2.0).is_nan()); + assert!(2.0f128.minimum(f128::NAN).is_nan()); +} + +#[test] +#[cfg(not(miri))] +#[cfg(target_has_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()); + // Ensure the quiet bit is set. + assert!(nan.to_bits() & (1 << (f128::MANTISSA_DIGITS - 2)) != 0); +} + +#[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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_reliable_f128_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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() { + 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(not(miri))] + #[cfg(target_has_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())); +} + +#[test] +fn test_algebraic() { + let a: f128 = 123.0; + let b: f128 = 456.0; + + // Check that individual operations match their primitive counterparts. + // + // This is a check of current implementations and does NOT imply any form of + // guarantee about future behavior. The compiler reserves the right to make + // these operations inexact matches in the future. + let eps = if cfg!(miri) { 1e-6 } else { 0.0 }; + + assert_approx_eq!(a.algebraic_add(b), a + b, eps); + assert_approx_eq!(a.algebraic_sub(b), a - b, eps); + assert_approx_eq!(a.algebraic_mul(b), a * b, eps); + assert_approx_eq!(a.algebraic_div(b), a / b, eps); + assert_approx_eq!(a.algebraic_rem(b), a % b, eps); +} + +#[test] +fn test_from() { + assert_eq!(f128::from(false), 0.0); + assert_eq!(f128::from(true), 1.0); + assert_eq!(f128::from(u8::MIN), 0.0); + assert_eq!(f128::from(42_u8), 42.0); + assert_eq!(f128::from(u8::MAX), 255.0); + assert_eq!(f128::from(i8::MIN), -128.0); + assert_eq!(f128::from(42_i8), 42.0); + assert_eq!(f128::from(i8::MAX), 127.0); + assert_eq!(f128::from(u16::MIN), 0.0); + assert_eq!(f128::from(42_u16), 42.0); + assert_eq!(f128::from(u16::MAX), 65535.0); + assert_eq!(f128::from(i16::MIN), -32768.0); + assert_eq!(f128::from(42_i16), 42.0); + assert_eq!(f128::from(i16::MAX), 32767.0); + assert_eq!(f128::from(u32::MIN), 0.0); + assert_eq!(f128::from(42_u32), 42.0); + assert_eq!(f128::from(u32::MAX), 4294967295.0); + assert_eq!(f128::from(i32::MIN), -2147483648.0); + assert_eq!(f128::from(42_i32), 42.0); + assert_eq!(f128::from(i32::MAX), 2147483647.0); + // FIXME(f16_f128): Uncomment these tests once the From<{u64,i64}> impls are added. + // assert_eq!(f128::from(u64::MIN), 0.0); + // assert_eq!(f128::from(42_u64), 42.0); + // assert_eq!(f128::from(u64::MAX), 18446744073709551615.0); + // assert_eq!(f128::from(i64::MIN), -9223372036854775808.0); + // assert_eq!(f128::from(42_i64), 42.0); + // assert_eq!(f128::from(i64::MAX), 9223372036854775807.0); +} diff --git a/library/coretests/tests/floats/f16.rs b/library/coretests/tests/floats/f16.rs new file mode 100644 index 00000000000..70bbcd07160 --- /dev/null +++ b/library/coretests/tests/floats/f16.rs @@ -0,0 +1,1022 @@ +// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy +#![cfg(target_has_reliable_f16)] + +use std::f16::consts; +use std::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() { + crate::test_num(10f16, 2f16); +} + +// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support +// the intrinsics. + +#[test] +#[cfg(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_reliable_f16_math)] +fn test_minimum() { + assert!(f16::NAN.minimum(2.0).is_nan()); + assert!(2.0f16.minimum(f16::NAN).is_nan()); +} + +#[test] +#[cfg(not(miri))] +#[cfg(target_has_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()); + // Ensure the quiet bit is set. + assert!(nan.to_bits() & (1 << (f16::MANTISSA_DIGITS - 2)) != 0); +} + +#[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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_reliable_f16_math)] +fn test_powi() { + 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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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(not(miri))] +#[cfg(target_has_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 + + 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(not(miri))] + #[cfg(target_has_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] +#[cfg(not(miri))] +#[cfg(target_has_reliable_f16_math)] +fn test_total_cmp() { + use core::cmp::Ordering; + + fn quiet_bit_mask() -> u16 { + 1 << (f16::MANTISSA_DIGITS - 2) + } + + 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())); +} + +#[test] +fn test_algebraic() { + let a: f16 = 123.0; + let b: f16 = 456.0; + + // Check that individual operations match their primitive counterparts. + // + // This is a check of current implementations and does NOT imply any form of + // guarantee about future behavior. The compiler reserves the right to make + // these operations inexact matches in the future. + let eps_add = if cfg!(miri) { 1e1 } else { 0.0 }; + let eps_mul = if cfg!(miri) { 1e3 } else { 0.0 }; + let eps_div = if cfg!(miri) { 1e0 } else { 0.0 }; + + assert_approx_eq!(a.algebraic_add(b), a + b, eps_add); + assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add); + assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul); + assert_approx_eq!(a.algebraic_div(b), a / b, eps_div); + assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div); +} + +#[test] +fn test_from() { + assert_eq!(f16::from(false), 0.0); + assert_eq!(f16::from(true), 1.0); + assert_eq!(f16::from(u8::MIN), 0.0); + assert_eq!(f16::from(42_u8), 42.0); + assert_eq!(f16::from(u8::MAX), 255.0); + assert_eq!(f16::from(i8::MIN), -128.0); + assert_eq!(f16::from(42_i8), 42.0); + assert_eq!(f16::from(i8::MAX), 127.0); +} diff --git a/library/coretests/tests/floats/f32.rs b/library/coretests/tests/floats/f32.rs new file mode 100644 index 00000000000..9af23afc5bb --- /dev/null +++ b/library/coretests/tests/floats/f32.rs @@ -0,0 +1,940 @@ +use std::f32::consts; +use std::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() { + crate::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()); + // Ensure the quiet bit is set. + assert!(nan.to_bits() & (1 << (f32::MANTISSA_DIGITS - 2)) != 0); +} + +#[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() { + 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())); +} + +#[test] +fn test_algebraic() { + let a: f32 = 123.0; + let b: f32 = 456.0; + + // Check that individual operations match their primitive counterparts. + // + // This is a check of current implementations and does NOT imply any form of + // guarantee about future behavior. The compiler reserves the right to make + // these operations inexact matches in the future. + let eps_add = if cfg!(miri) { 1e-3 } else { 0.0 }; + let eps_mul = if cfg!(miri) { 1e-1 } else { 0.0 }; + let eps_div = if cfg!(miri) { 1e-4 } else { 0.0 }; + + assert_approx_eq!(a.algebraic_add(b), a + b, eps_add); + assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add); + assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul); + assert_approx_eq!(a.algebraic_div(b), a / b, eps_div); + assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div); +} diff --git a/library/coretests/tests/floats/f64.rs b/library/coretests/tests/floats/f64.rs new file mode 100644 index 00000000000..de9c27eb33d --- /dev/null +++ b/library/coretests/tests/floats/f64.rs @@ -0,0 +1,917 @@ +use std::f64::consts; +use std::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() { + crate::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()); + // Ensure the quiet bit is set. + assert!(nan.to_bits() & (1 << (f64::MANTISSA_DIGITS - 2)) != 0); +} + +#[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() { + 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())); +} + +#[test] +fn test_algebraic() { + let a: f64 = 123.0; + let b: f64 = 456.0; + + // Check that individual operations match their primitive counterparts. + // + // This is a check of current implementations and does NOT imply any form of + // guarantee about future behavior. The compiler reserves the right to make + // these operations inexact matches in the future. + let eps = if cfg!(miri) { 1e-6 } else { 0.0 }; + + assert_approx_eq!(a.algebraic_add(b), a + b, eps); + assert_approx_eq!(a.algebraic_sub(b), a - b, eps); + assert_approx_eq!(a.algebraic_mul(b), a * b, eps); + assert_approx_eq!(a.algebraic_div(b), a / b, eps); + assert_approx_eq!(a.algebraic_rem(b), a % b, eps); +} diff --git a/library/coretests/tests/floats/mod.rs b/library/coretests/tests/floats/mod.rs new file mode 100644 index 00000000000..453a2d533ab --- /dev/null +++ b/library/coretests/tests/floats/mod.rs @@ -0,0 +1,44 @@ +#![feature(f16, f128, float_algebraic, float_gamma, float_minimum_maximum)] +#![feature(cfg_target_has_reliable_f16_f128)] +#![expect(internal_features)] // for reliable_f16_f128 + +use std::fmt; +use std::ops::{Add, Div, Mul, Rem, Sub}; + +/// Verify that floats are within a tolerance of each other, 1.0e-6 by default. +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 + ); + }}; +} + +/// Helper function for testing numeric operations +pub fn test_num(ten: T, two: T) +where + T: PartialEq + + Add + + Sub + + Mul + + Div + + Rem + + 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); +} + +mod f128; +mod f16; +mod f32; +mod f64; diff --git a/library/coretests/tests/lib.rs b/library/coretests/tests/lib.rs index 0575375cf4f..acea0b2a035 100644 --- a/library/coretests/tests/lib.rs +++ b/library/coretests/tests/lib.rs @@ -144,6 +144,7 @@ mod cmp; mod const_ptr; mod convert; mod ffi; +mod floats; mod fmt; mod future; mod hash; diff --git a/library/std/tests/floats/f128.rs b/library/std/tests/floats/f128.rs deleted file mode 100644 index c2618f3b315..00000000000 --- a/library/std/tests/floats/f128.rs +++ /dev/null @@ -1,1071 +0,0 @@ -// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy -#![cfg(target_has_reliable_f128)] - -use std::f128::consts; -use std::num::FpCategory as Fp; -#[cfg(not(miri))] -#[cfg(target_has_reliable_f128_math)] -use std::ops::Rem; -use std::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(not(miri))] -#[cfg(target_has_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); -} - -// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support -// the intrinsics. - -#[test] -#[cfg(not(miri))] -#[cfg(target_has_reliable_f128_math)] -fn test_num_f128_rem() { - let ten = 10f128; - let two = 2f128; - assert_eq!(ten.rem(two), ten % two); -} - -#[test] -#[cfg(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_reliable_f128_math)] -fn test_minimum() { - assert!(f128::NAN.minimum(2.0).is_nan()); - assert!(2.0f128.minimum(f128::NAN).is_nan()); -} - -#[test] -#[cfg(not(miri))] -#[cfg(target_has_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()); - // Ensure the quiet bit is set. - assert!(nan.to_bits() & (1 << (f128::MANTISSA_DIGITS - 2)) != 0); -} - -#[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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_reliable_f128_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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() { - 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(not(miri))] - #[cfg(target_has_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())); -} - -#[test] -fn test_algebraic() { - let a: f128 = 123.0; - let b: f128 = 456.0; - - // Check that individual operations match their primitive counterparts. - // - // This is a check of current implementations and does NOT imply any form of - // guarantee about future behavior. The compiler reserves the right to make - // these operations inexact matches in the future. - let eps = if cfg!(miri) { 1e-6 } else { 0.0 }; - - assert_approx_eq!(a.algebraic_add(b), a + b, eps); - assert_approx_eq!(a.algebraic_sub(b), a - b, eps); - assert_approx_eq!(a.algebraic_mul(b), a * b, eps); - assert_approx_eq!(a.algebraic_div(b), a / b, eps); - assert_approx_eq!(a.algebraic_rem(b), a % b, eps); -} - -#[test] -fn test_from() { - assert_eq!(f128::from(false), 0.0); - assert_eq!(f128::from(true), 1.0); - assert_eq!(f128::from(u8::MIN), 0.0); - assert_eq!(f128::from(42_u8), 42.0); - assert_eq!(f128::from(u8::MAX), 255.0); - assert_eq!(f128::from(i8::MIN), -128.0); - assert_eq!(f128::from(42_i8), 42.0); - assert_eq!(f128::from(i8::MAX), 127.0); - assert_eq!(f128::from(u16::MIN), 0.0); - assert_eq!(f128::from(42_u16), 42.0); - assert_eq!(f128::from(u16::MAX), 65535.0); - assert_eq!(f128::from(i16::MIN), -32768.0); - assert_eq!(f128::from(42_i16), 42.0); - assert_eq!(f128::from(i16::MAX), 32767.0); - assert_eq!(f128::from(u32::MIN), 0.0); - assert_eq!(f128::from(42_u32), 42.0); - assert_eq!(f128::from(u32::MAX), 4294967295.0); - assert_eq!(f128::from(i32::MIN), -2147483648.0); - assert_eq!(f128::from(42_i32), 42.0); - assert_eq!(f128::from(i32::MAX), 2147483647.0); - // FIXME(f16_f128): Uncomment these tests once the From<{u64,i64}> impls are added. - // assert_eq!(f128::from(u64::MIN), 0.0); - // assert_eq!(f128::from(42_u64), 42.0); - // assert_eq!(f128::from(u64::MAX), 18446744073709551615.0); - // assert_eq!(f128::from(i64::MIN), -9223372036854775808.0); - // assert_eq!(f128::from(42_i64), 42.0); - // assert_eq!(f128::from(i64::MAX), 9223372036854775807.0); -} diff --git a/library/std/tests/floats/f16.rs b/library/std/tests/floats/f16.rs deleted file mode 100644 index 70bbcd07160..00000000000 --- a/library/std/tests/floats/f16.rs +++ /dev/null @@ -1,1022 +0,0 @@ -// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy -#![cfg(target_has_reliable_f16)] - -use std::f16::consts; -use std::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() { - crate::test_num(10f16, 2f16); -} - -// FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support -// the intrinsics. - -#[test] -#[cfg(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_reliable_f16_math)] -fn test_minimum() { - assert!(f16::NAN.minimum(2.0).is_nan()); - assert!(2.0f16.minimum(f16::NAN).is_nan()); -} - -#[test] -#[cfg(not(miri))] -#[cfg(target_has_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()); - // Ensure the quiet bit is set. - assert!(nan.to_bits() & (1 << (f16::MANTISSA_DIGITS - 2)) != 0); -} - -#[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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_reliable_f16_math)] -fn test_powi() { - 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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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(not(miri))] -#[cfg(target_has_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 - - 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(not(miri))] - #[cfg(target_has_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] -#[cfg(not(miri))] -#[cfg(target_has_reliable_f16_math)] -fn test_total_cmp() { - use core::cmp::Ordering; - - fn quiet_bit_mask() -> u16 { - 1 << (f16::MANTISSA_DIGITS - 2) - } - - 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())); -} - -#[test] -fn test_algebraic() { - let a: f16 = 123.0; - let b: f16 = 456.0; - - // Check that individual operations match their primitive counterparts. - // - // This is a check of current implementations and does NOT imply any form of - // guarantee about future behavior. The compiler reserves the right to make - // these operations inexact matches in the future. - let eps_add = if cfg!(miri) { 1e1 } else { 0.0 }; - let eps_mul = if cfg!(miri) { 1e3 } else { 0.0 }; - let eps_div = if cfg!(miri) { 1e0 } else { 0.0 }; - - assert_approx_eq!(a.algebraic_add(b), a + b, eps_add); - assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add); - assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul); - assert_approx_eq!(a.algebraic_div(b), a / b, eps_div); - assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div); -} - -#[test] -fn test_from() { - assert_eq!(f16::from(false), 0.0); - assert_eq!(f16::from(true), 1.0); - assert_eq!(f16::from(u8::MIN), 0.0); - assert_eq!(f16::from(42_u8), 42.0); - assert_eq!(f16::from(u8::MAX), 255.0); - assert_eq!(f16::from(i8::MIN), -128.0); - assert_eq!(f16::from(42_i8), 42.0); - assert_eq!(f16::from(i8::MAX), 127.0); -} diff --git a/library/std/tests/floats/f32.rs b/library/std/tests/floats/f32.rs deleted file mode 100644 index 9af23afc5bb..00000000000 --- a/library/std/tests/floats/f32.rs +++ /dev/null @@ -1,940 +0,0 @@ -use std::f32::consts; -use std::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() { - crate::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()); - // Ensure the quiet bit is set. - assert!(nan.to_bits() & (1 << (f32::MANTISSA_DIGITS - 2)) != 0); -} - -#[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() { - 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())); -} - -#[test] -fn test_algebraic() { - let a: f32 = 123.0; - let b: f32 = 456.0; - - // Check that individual operations match their primitive counterparts. - // - // This is a check of current implementations and does NOT imply any form of - // guarantee about future behavior. The compiler reserves the right to make - // these operations inexact matches in the future. - let eps_add = if cfg!(miri) { 1e-3 } else { 0.0 }; - let eps_mul = if cfg!(miri) { 1e-1 } else { 0.0 }; - let eps_div = if cfg!(miri) { 1e-4 } else { 0.0 }; - - assert_approx_eq!(a.algebraic_add(b), a + b, eps_add); - assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add); - assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul); - assert_approx_eq!(a.algebraic_div(b), a / b, eps_div); - assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div); -} diff --git a/library/std/tests/floats/f64.rs b/library/std/tests/floats/f64.rs deleted file mode 100644 index de9c27eb33d..00000000000 --- a/library/std/tests/floats/f64.rs +++ /dev/null @@ -1,917 +0,0 @@ -use std::f64::consts; -use std::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() { - crate::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()); - // Ensure the quiet bit is set. - assert!(nan.to_bits() & (1 << (f64::MANTISSA_DIGITS - 2)) != 0); -} - -#[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() { - 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())); -} - -#[test] -fn test_algebraic() { - let a: f64 = 123.0; - let b: f64 = 456.0; - - // Check that individual operations match their primitive counterparts. - // - // This is a check of current implementations and does NOT imply any form of - // guarantee about future behavior. The compiler reserves the right to make - // these operations inexact matches in the future. - let eps = if cfg!(miri) { 1e-6 } else { 0.0 }; - - assert_approx_eq!(a.algebraic_add(b), a + b, eps); - assert_approx_eq!(a.algebraic_sub(b), a - b, eps); - assert_approx_eq!(a.algebraic_mul(b), a * b, eps); - assert_approx_eq!(a.algebraic_div(b), a / b, eps); - assert_approx_eq!(a.algebraic_rem(b), a % b, eps); -} diff --git a/library/std/tests/floats/lib.rs b/library/std/tests/floats/lib.rs deleted file mode 100644 index 453a2d533ab..00000000000 --- a/library/std/tests/floats/lib.rs +++ /dev/null @@ -1,44 +0,0 @@ -#![feature(f16, f128, float_algebraic, float_gamma, float_minimum_maximum)] -#![feature(cfg_target_has_reliable_f16_f128)] -#![expect(internal_features)] // for reliable_f16_f128 - -use std::fmt; -use std::ops::{Add, Div, Mul, Rem, Sub}; - -/// Verify that floats are within a tolerance of each other, 1.0e-6 by default. -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 - ); - }}; -} - -/// Helper function for testing numeric operations -pub fn test_num(ten: T, two: T) -where - T: PartialEq - + Add - + Sub - + Mul - + Div - + Rem - + 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); -} - -mod f128; -mod f16; -mod f32; -mod f64; -- cgit 1.4.1-3-g733a5