| use std::num::FpCategory as Fp; |
| use std::ops::{Add, Div, Mul, Rem, Sub}; |
| |
| /// Set the default tolerance for float comparison based on the type. |
| trait Approx { |
| const LIM: Self; |
| } |
| |
| impl Approx for f16 { |
| const LIM: Self = 1e-3; |
| } |
| impl Approx for f32 { |
| const LIM: Self = 1e-6; |
| } |
| impl Approx for f64 { |
| const LIM: Self = 1e-6; |
| } |
| impl Approx for f128 { |
| const LIM: Self = 1e-9; |
| } |
| |
| /// Determine the tolerance for values of the argument type. |
| const fn lim_for_ty<T: Approx + Copy>(_x: T) -> T { |
| T::LIM |
| } |
| |
| // We have runtime ("rt") and const versions of these macros. |
| |
| /// Verify that floats are within a tolerance of each other. |
| macro_rules! assert_approx_eq_rt { |
| ($a:expr, $b:expr) => {{ assert_approx_eq_rt!($a, $b, $crate::floats::lim_for_ty($a)) }}; |
| ($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 = $lim |
| ); |
| }}; |
| } |
| macro_rules! assert_approx_eq_const { |
| ($a:expr, $b:expr) => {{ assert_approx_eq_const!($a, $b, $crate::floats::lim_for_ty($a)) }}; |
| ($a:expr, $b:expr, $lim:expr) => {{ |
| let (a, b) = (&$a, &$b); |
| let diff = (*a - *b).abs(); |
| assert!(diff <= $lim); |
| }}; |
| } |
| |
| /// Verify that floats have the same bitwise representation. Used to avoid the default `0.0 == -0.0` |
| /// behavior, as well as to ensure exact NaN bitpatterns. |
| macro_rules! assert_biteq_rt { |
| (@inner $left:expr, $right:expr, $msg_sep:literal, $($tt:tt)*) => {{ |
| let l = $left; |
| let r = $right; |
| |
| // Hack to coerce left and right to the same type |
| let mut _eq_ty = l; |
| _eq_ty = r; |
| |
| // Hack to get the width from a value |
| let bits = (l.to_bits() - l.to_bits()).leading_zeros(); |
| assert!( |
| l.to_bits() == r.to_bits(), |
| "{msg}{nl}l: {l:?} ({lb:#0width$x})\nr: {r:?} ({rb:#0width$x})", |
| msg = format_args!($($tt)*), |
| nl = $msg_sep, |
| lb = l.to_bits(), |
| rb = r.to_bits(), |
| width = ((bits / 4) + 2) as usize, |
| ); |
| |
| if !l.is_nan() && !r.is_nan() { |
| // Also check that standard equality holds, since most tests use `assert_biteq` rather |
| // than `assert_eq`. |
| assert_eq!(l, r); |
| } |
| }}; |
| ($left:expr, $right:expr , $($tt:tt)*) => { |
| assert_biteq_rt!(@inner $left, $right, "\n", $($tt)*) |
| }; |
| ($left:expr, $right:expr $(,)?) => { |
| assert_biteq_rt!(@inner $left, $right, "", "") |
| }; |
| } |
| macro_rules! assert_biteq_const { |
| (@inner $left:expr, $right:expr, $msg_sep:literal, $($tt:tt)*) => {{ |
| let l = $left; |
| let r = $right; |
| |
| // Hack to coerce left and right to the same type |
| let mut _eq_ty = l; |
| _eq_ty = r; |
| |
| assert!(l.to_bits() == r.to_bits()); |
| |
| if !l.is_nan() && !r.is_nan() { |
| // Also check that standard equality holds, since most tests use `assert_biteq` rather |
| // than `assert_eq`. |
| assert!(l == r); |
| } |
| }}; |
| ($left:expr, $right:expr , $($tt:tt)*) => { |
| assert_biteq_const!(@inner $left, $right, "\n", $($tt)*) |
| }; |
| ($left:expr, $right:expr $(,)?) => { |
| assert_biteq_const!(@inner $left, $right, "", "") |
| }; |
| } |
| |
| // Use the runtime version by default. |
| // This way, they can be shadowed by the const versions. |
| pub(crate) use {assert_approx_eq_rt as assert_approx_eq, assert_biteq_rt as assert_biteq}; |
| |
| // Also make the const version available for re-exports. |
| #[rustfmt::skip] |
| pub(crate) use assert_biteq_const; |
| pub(crate) use assert_approx_eq_const; |
| |
| /// Generate float tests for all our float types, for compile-time and run-time behavior. |
| /// |
| /// By default all tests run for all float types. Configuration can be applied via `attrs`. |
| /// |
| /// ```ignore (this is only a sketch) |
| /// float_test! { |
| /// name: fn_name, /* function under test */ |
| /// attrs: { |
| /// // Apply a configuration to the test for a single type |
| /// f16: #[cfg(target_has_reliable_f16_math)], |
| /// // Types can be excluded with `cfg(false)` |
| /// f64: #[cfg(false)], |
| /// }, |
| /// test<Float> { |
| /// /* write tests here, using `Float` as the type */ |
| /// } |
| /// } |
| /// ``` |
| macro_rules! float_test { |
| ( |
| name: $name:ident, |
| attrs: { |
| $(const: #[ $($const_meta:meta),+ ] ,)? |
| $(f16: #[ $($f16_meta:meta),+ ] ,)? |
| $(const f16: #[ $($f16_const_meta:meta),+ ] ,)? |
| $(f32: #[ $($f32_meta:meta),+ ] ,)? |
| $(const f32: #[ $($f32_const_meta:meta),+ ] ,)? |
| $(f64: #[ $($f64_meta:meta),+ ] ,)? |
| $(const f64: #[ $($f64_const_meta:meta),+ ] ,)? |
| $(f128: #[ $($f128_meta:meta),+ ] ,)? |
| $(const f128: #[ $($f128_const_meta:meta),+ ] ,)? |
| }, |
| test<$fty:ident> $test:block |
| ) => { |
| mod $name { |
| use super::*; |
| |
| #[test] |
| $( $( #[$f16_meta] )+ )? |
| fn test_f16() { |
| type $fty = f16; |
| $test |
| } |
| |
| #[test] |
| $( $( #[$f32_meta] )+ )? |
| fn test_f32() { |
| type $fty = f32; |
| $test |
| } |
| |
| #[test] |
| $( $( #[$f64_meta] )+ )? |
| fn test_f64() { |
| type $fty = f64; |
| $test |
| } |
| |
| #[test] |
| $( $( #[$f128_meta] )+ )? |
| fn test_f128() { |
| type $fty = f128; |
| $test |
| } |
| |
| $( $( #[$const_meta] )+ )? |
| mod const_ { |
| #[allow(unused)] |
| use super::Approx; |
| #[allow(unused)] |
| use std::num::FpCategory as Fp; |
| #[allow(unused)] |
| use std::ops::{Add, Div, Mul, Rem, Sub}; |
| // Shadow the runtime versions of the macro with const-compatible versions. |
| #[allow(unused)] |
| use $crate::floats::{ |
| assert_approx_eq_const as assert_approx_eq, |
| assert_biteq_const as assert_biteq, |
| }; |
| |
| #[test] |
| $( $( #[$f16_const_meta] )+ )? |
| fn test_f16() { |
| type $fty = f16; |
| const { $test } |
| } |
| |
| #[test] |
| $( $( #[$f32_const_meta] )+ )? |
| fn test_f32() { |
| type $fty = f32; |
| const { $test } |
| } |
| |
| #[test] |
| $( $( #[$f64_const_meta] )+ )? |
| fn test_f64() { |
| type $fty = f64; |
| const { $test } |
| } |
| |
| #[test] |
| $( $( #[$f128_const_meta] )+ )? |
| fn test_f128() { |
| type $fty = f128; |
| const { $test } |
| } |
| } |
| } |
| }; |
| } |
| |
| mod f128; |
| mod f16; |
| mod f32; |
| mod f64; |
| |
| float_test! { |
| name: num, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16))], |
| f128: #[cfg(any(miri, target_has_reliable_f128))], |
| }, |
| test<Float> { |
| let two: Float = 2.0; |
| let ten: Float = 10.0; |
| assert_biteq!(ten.add(two), ten + two); |
| assert_biteq!(ten.sub(two), ten - two); |
| assert_biteq!(ten.mul(two), ten * two); |
| assert_biteq!(ten.div(two), ten / two); |
| } |
| } |
| |
| // FIXME(f16_f128): merge into `num` once the required `fmodl`/`fmodf128` function is available on |
| // all platforms. |
| float_test! { |
| name: num_rem, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| let two: Float = 2.0; |
| let ten: Float = 10.0; |
| assert_biteq!(ten.rem(two), ten % two); |
| } |
| } |
| |
| float_test! { |
| name: nan, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16))], |
| f128: #[cfg(any(miri, target_has_reliable_f128))], |
| }, |
| test<Float> { |
| let nan: Float = Float::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!(matches!(nan.classify(), Fp::Nan)); |
| // Ensure the quiet bit is set. |
| assert!(nan.to_bits() & (1 << (Float::MANTISSA_DIGITS - 2)) != 0); |
| } |
| } |
| |
| float_test! { |
| name: infinity, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16))], |
| f128: #[cfg(any(miri, target_has_reliable_f128))], |
| }, |
| test<Float> { |
| let inf: Float = Float::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!(matches!(inf.classify(), Fp::Infinite)); |
| } |
| } |
| |
| float_test! { |
| name: min, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((0.0 as Float).min(0.0), 0.0); |
| assert_biteq!((-0.0 as Float).min(-0.0), -0.0); |
| assert_biteq!((9.0 as Float).min(9.0), 9.0); |
| assert_biteq!((-9.0 as Float).min(0.0), -9.0); |
| assert_biteq!((0.0 as Float).min(9.0), 0.0); |
| assert_biteq!((-0.0 as Float).min(9.0), -0.0); |
| assert_biteq!((-0.0 as Float).min(-9.0), -9.0); |
| assert_biteq!(Float::INFINITY.min(9.0), 9.0); |
| assert_biteq!((9.0 as Float).min(Float::INFINITY), 9.0); |
| assert_biteq!(Float::INFINITY.min(-9.0), -9.0); |
| assert_biteq!((-9.0 as Float).min(Float::INFINITY), -9.0); |
| assert_biteq!(Float::NEG_INFINITY.min(9.0), Float::NEG_INFINITY); |
| assert_biteq!((9.0 as Float).min(Float::NEG_INFINITY), Float::NEG_INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.min(-9.0), Float::NEG_INFINITY); |
| assert_biteq!((-9.0 as Float).min(Float::NEG_INFINITY), Float::NEG_INFINITY); |
| assert_biteq!(Float::NAN.min(9.0), 9.0); |
| assert_biteq!(Float::NAN.min(-9.0), -9.0); |
| assert_biteq!((9.0 as Float).min(Float::NAN), 9.0); |
| assert_biteq!((-9.0 as Float).min(Float::NAN), -9.0); |
| assert!(Float::NAN.min(Float::NAN).is_nan()); |
| } |
| } |
| |
| float_test! { |
| name: max, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((0.0 as Float).max(0.0), 0.0); |
| assert_biteq!((-0.0 as Float).max(-0.0), -0.0); |
| assert_biteq!((9.0 as Float).max(9.0), 9.0); |
| assert_biteq!((-9.0 as Float).max(0.0), 0.0); |
| assert_biteq!((-9.0 as Float).max(-0.0), -0.0); |
| assert_biteq!((0.0 as Float).max(9.0), 9.0); |
| assert_biteq!((0.0 as Float).max(-9.0), 0.0); |
| assert_biteq!((-0.0 as Float).max(-9.0), -0.0); |
| assert_biteq!(Float::INFINITY.max(9.0), Float::INFINITY); |
| assert_biteq!((9.0 as Float).max(Float::INFINITY), Float::INFINITY); |
| assert_biteq!(Float::INFINITY.max(-9.0), Float::INFINITY); |
| assert_biteq!((-9.0 as Float).max(Float::INFINITY), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.max(9.0), 9.0); |
| assert_biteq!((9.0 as Float).max(Float::NEG_INFINITY), 9.0); |
| assert_biteq!(Float::NEG_INFINITY.max(-9.0), -9.0); |
| assert_biteq!((-9.0 as Float).max(Float::NEG_INFINITY), -9.0); |
| assert_biteq!(Float::NAN.max(9.0), 9.0); |
| assert_biteq!(Float::NAN.max(-9.0), -9.0); |
| assert_biteq!((9.0 as Float).max(Float::NAN), 9.0); |
| assert_biteq!((-9.0 as Float).max(Float::NAN), -9.0); |
| assert!(Float::NAN.max(Float::NAN).is_nan()); |
| } |
| } |
| |
| float_test! { |
| name: minimum, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((0.0 as Float).minimum(0.0), 0.0); |
| assert_biteq!((-0.0 as Float).minimum(0.0), -0.0); |
| assert_biteq!((-0.0 as Float).minimum(-0.0), -0.0); |
| assert_biteq!((9.0 as Float).minimum(9.0), 9.0); |
| assert_biteq!((-9.0 as Float).minimum(0.0), -9.0); |
| assert_biteq!((0.0 as Float).minimum(9.0), 0.0); |
| assert_biteq!((-0.0 as Float).minimum(9.0), -0.0); |
| assert_biteq!((-0.0 as Float).minimum(-9.0), -9.0); |
| assert_biteq!(Float::INFINITY.minimum(9.0), 9.0); |
| assert_biteq!((9.0 as Float).minimum(Float::INFINITY), 9.0); |
| assert_biteq!(Float::INFINITY.minimum(-9.0), -9.0); |
| assert_biteq!((-9.0 as Float).minimum(Float::INFINITY), -9.0); |
| assert_biteq!(Float::NEG_INFINITY.minimum(9.0), Float::NEG_INFINITY); |
| assert_biteq!((9.0 as Float).minimum(Float::NEG_INFINITY), Float::NEG_INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.minimum(-9.0), Float::NEG_INFINITY); |
| assert_biteq!((-9.0 as Float).minimum(Float::NEG_INFINITY), Float::NEG_INFINITY); |
| assert!(Float::NAN.minimum(9.0).is_nan()); |
| assert!(Float::NAN.minimum(-9.0).is_nan()); |
| assert!((9.0 as Float).minimum(Float::NAN).is_nan()); |
| assert!((-9.0 as Float).minimum(Float::NAN).is_nan()); |
| assert!(Float::NAN.minimum(Float::NAN).is_nan()); |
| } |
| } |
| |
| float_test! { |
| name: maximum, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((0.0 as Float).maximum(0.0), 0.0); |
| assert_biteq!((-0.0 as Float).maximum(0.0), 0.0); |
| assert_biteq!((-0.0 as Float).maximum(-0.0), -0.0); |
| assert_biteq!((9.0 as Float).maximum(9.0), 9.0); |
| assert_biteq!((-9.0 as Float).maximum(0.0), 0.0); |
| assert_biteq!((-9.0 as Float).maximum(-0.0), -0.0); |
| assert_biteq!((0.0 as Float).maximum(9.0), 9.0); |
| assert_biteq!((0.0 as Float).maximum(-9.0), 0.0); |
| assert_biteq!((-0.0 as Float).maximum(-9.0), -0.0); |
| assert_biteq!(Float::INFINITY.maximum(9.0), Float::INFINITY); |
| assert_biteq!((9.0 as Float).maximum(Float::INFINITY), Float::INFINITY); |
| assert_biteq!(Float::INFINITY.maximum(-9.0), Float::INFINITY); |
| assert_biteq!((-9.0 as Float).maximum(Float::INFINITY), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.maximum(9.0), 9.0); |
| assert_biteq!((9.0 as Float).maximum(Float::NEG_INFINITY), 9.0); |
| assert_biteq!(Float::NEG_INFINITY.maximum(-9.0), -9.0); |
| assert_biteq!((-9.0 as Float).maximum(Float::NEG_INFINITY), -9.0); |
| assert!(Float::NAN.maximum(9.0).is_nan()); |
| assert!(Float::NAN.maximum(-9.0).is_nan()); |
| assert!((9.0 as Float).maximum(Float::NAN).is_nan()); |
| assert!((-9.0 as Float).maximum(Float::NAN).is_nan()); |
| assert!(Float::NAN.maximum(Float::NAN).is_nan()); |
| } |
| } |
| |
| float_test! { |
| name: midpoint, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((0.5 as Float).midpoint(0.5), 0.5); |
| assert_biteq!((0.5 as Float).midpoint(2.5), 1.5); |
| assert_biteq!((3.0 as Float).midpoint(4.0), 3.5); |
| assert_biteq!((-3.0 as Float).midpoint(4.0), 0.5); |
| assert_biteq!((3.0 as Float).midpoint(-4.0), -0.5); |
| assert_biteq!((-3.0 as Float).midpoint(-4.0), -3.5); |
| assert_biteq!((0.0 as Float).midpoint(0.0), 0.0); |
| assert_biteq!((-0.0 as Float).midpoint(-0.0), -0.0); |
| assert_biteq!((-5.0 as Float).midpoint(5.0), 0.0); |
| assert_biteq!(Float::MAX.midpoint(Float::MIN), 0.0); |
| assert_biteq!(Float::MIN.midpoint(Float::MAX), 0.0); |
| assert_biteq!(Float::MAX.midpoint(Float::MIN_POSITIVE), Float::MAX / 2.); |
| assert_biteq!((-Float::MAX).midpoint(Float::MIN_POSITIVE), -Float::MAX / 2.); |
| assert_biteq!(Float::MAX.midpoint(-Float::MIN_POSITIVE), Float::MAX / 2.); |
| assert_biteq!((-Float::MAX).midpoint(-Float::MIN_POSITIVE), -Float::MAX / 2.); |
| assert_biteq!((Float::MIN_POSITIVE).midpoint(Float::MAX), Float::MAX / 2.); |
| assert_biteq!((Float::MIN_POSITIVE).midpoint(-Float::MAX), -Float::MAX / 2.); |
| assert_biteq!((-Float::MIN_POSITIVE).midpoint(Float::MAX), Float::MAX / 2.); |
| assert_biteq!((-Float::MIN_POSITIVE).midpoint(-Float::MAX), -Float::MAX / 2.); |
| assert_biteq!(Float::MAX.midpoint(Float::MAX), Float::MAX); |
| assert_biteq!( |
| (Float::MIN_POSITIVE).midpoint(Float::MIN_POSITIVE), |
| Float::MIN_POSITIVE |
| ); |
| assert_biteq!( |
| (-Float::MIN_POSITIVE).midpoint(-Float::MIN_POSITIVE), |
| -Float::MIN_POSITIVE |
| ); |
| assert_biteq!(Float::MAX.midpoint(5.0), Float::MAX / 2.0 + 2.5); |
| assert_biteq!(Float::MAX.midpoint(-5.0), Float::MAX / 2.0 - 2.5); |
| assert_biteq!(Float::INFINITY.midpoint(Float::INFINITY), Float::INFINITY); |
| assert_biteq!( |
| Float::NEG_INFINITY.midpoint(Float::NEG_INFINITY), |
| Float::NEG_INFINITY |
| ); |
| assert!(Float::NEG_INFINITY.midpoint(Float::INFINITY).is_nan()); |
| assert!(Float::INFINITY.midpoint(Float::NEG_INFINITY).is_nan()); |
| assert!(Float::NAN.midpoint(1.0).is_nan()); |
| assert!((1.0 as Float).midpoint(Float::NAN).is_nan()); |
| assert!(Float::NAN.midpoint(Float::NAN).is_nan()); |
| } |
| } |
| |
| // Separate test since the `for` loops cannot be run in `const`. |
| float_test! { |
| name: midpoint_large_magnitude, |
| attrs: { |
| const: #[cfg(false)], |
| // FIXME(f16_f128): `powi` does not work in Miri for these types |
| f16: #[cfg(all(not(miri), target_has_reliable_f16_math))], |
| f128: #[cfg(all(not(miri), target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| // test if large differences in magnitude are still correctly computed. |
| // NOTE: that because of how small x and y are, x + y can never overflow |
| // so (x + y) / 2.0 is always correct |
| // in particular, `2.pow(i)` will never be at the max exponent, so it could |
| // be safely doubled, while j is significantly smaller. |
| for i in Float::MAX_EXP.saturating_sub(64)..Float::MAX_EXP { |
| for j in 0..64u8 { |
| let large = (2.0 as Float).powi(i); |
| // a much smaller number, such that there is no chance of overflow to test |
| // potential double rounding in midpoint's implementation. |
| let small = (2.0 as Float).powi(Float::MAX_EXP - 1) |
| * Float::EPSILON |
| * Float::from(j); |
| |
| let naive = (large + small) / 2.0; |
| let midpoint = large.midpoint(small); |
| |
| assert_biteq!(naive, midpoint); |
| } |
| } |
| } |
| } |
| |
| float_test! { |
| name: abs, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((-1.0 as Float).abs(), 1.0); |
| assert_biteq!((1.0 as Float).abs(), 1.0); |
| assert_biteq!(Float::NEG_INFINITY.abs(), Float::INFINITY); |
| assert_biteq!(Float::INFINITY.abs(), Float::INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: copysign, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((1.0 as Float).copysign(-2.0), -1.0); |
| assert_biteq!((-1.0 as Float).copysign(2.0), 1.0); |
| assert_biteq!(Float::INFINITY.copysign(-0.0), Float::NEG_INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.copysign(0.0), Float::INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: rem_euclid, |
| attrs: { |
| const: #[cfg(false)], |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert!(Float::INFINITY.rem_euclid(42.0 as Float).is_nan()); |
| assert_biteq!((42.0 as Float).rem_euclid(Float::INFINITY), 42.0 as Float); |
| assert!((42.0 as Float).rem_euclid(Float::NAN).is_nan()); |
| assert!(Float::INFINITY.rem_euclid(Float::INFINITY).is_nan()); |
| assert!(Float::INFINITY.rem_euclid(Float::NAN).is_nan()); |
| assert!(Float::NAN.rem_euclid(Float::INFINITY).is_nan()); |
| } |
| } |
| |
| float_test! { |
| name: div_euclid, |
| attrs: { |
| const: #[cfg(false)], |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((42.0 as Float).div_euclid(Float::INFINITY), 0.0); |
| assert!((42.0 as Float).div_euclid(Float::NAN).is_nan()); |
| assert!(Float::INFINITY.div_euclid(Float::INFINITY).is_nan()); |
| assert!(Float::INFINITY.div_euclid(Float::NAN).is_nan()); |
| assert!(Float::NAN.div_euclid(Float::INFINITY).is_nan()); |
| } |
| } |
| |
| float_test! { |
| name: floor, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((1.0 as Float).floor(), 1.0); |
| assert_biteq!((1.3 as Float).floor(), 1.0); |
| assert_biteq!((1.5 as Float).floor(), 1.0); |
| assert_biteq!((1.7 as Float).floor(), 1.0); |
| assert_biteq!((0.5 as Float).floor(), 0.0); |
| assert_biteq!((0.0 as Float).floor(), 0.0); |
| assert_biteq!((-0.0 as Float).floor(), -0.0); |
| assert_biteq!((-0.5 as Float).floor(), -1.0); |
| assert_biteq!((-1.0 as Float).floor(), -1.0); |
| assert_biteq!((-1.3 as Float).floor(), -2.0); |
| assert_biteq!((-1.5 as Float).floor(), -2.0); |
| assert_biteq!((-1.7 as Float).floor(), -2.0); |
| assert_biteq!(Float::MAX.floor(), Float::MAX); |
| assert_biteq!(Float::MIN.floor(), Float::MIN); |
| assert_biteq!(Float::MIN_POSITIVE.floor(), 0.0); |
| assert_biteq!((-Float::MIN_POSITIVE).floor(), -1.0); |
| assert!(Float::NAN.floor().is_nan()); |
| assert_biteq!(Float::INFINITY.floor(), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.floor(), Float::NEG_INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: ceil, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((1.0 as Float).ceil(), 1.0); |
| assert_biteq!((1.3 as Float).ceil(), 2.0); |
| assert_biteq!((1.5 as Float).ceil(), 2.0); |
| assert_biteq!((1.7 as Float).ceil(), 2.0); |
| assert_biteq!((0.5 as Float).ceil(), 1.0); |
| assert_biteq!((0.0 as Float).ceil(), 0.0); |
| assert_biteq!((-0.0 as Float).ceil(), -0.0); |
| assert_biteq!((-0.5 as Float).ceil(), -0.0); |
| assert_biteq!((-1.0 as Float).ceil(), -1.0); |
| assert_biteq!((-1.3 as Float).ceil(), -1.0); |
| assert_biteq!((-1.5 as Float).ceil(), -1.0); |
| assert_biteq!((-1.7 as Float).ceil(), -1.0); |
| assert_biteq!(Float::MAX.ceil(), Float::MAX); |
| assert_biteq!(Float::MIN.ceil(), Float::MIN); |
| assert_biteq!(Float::MIN_POSITIVE.ceil(), 1.0); |
| assert_biteq!((-Float::MIN_POSITIVE).ceil(), -0.0); |
| assert!(Float::NAN.ceil().is_nan()); |
| assert_biteq!(Float::INFINITY.ceil(), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.ceil(), Float::NEG_INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: round, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((2.5 as Float).round(), 3.0); |
| assert_biteq!((1.0 as Float).round(), 1.0); |
| assert_biteq!((1.3 as Float).round(), 1.0); |
| assert_biteq!((1.5 as Float).round(), 2.0); |
| assert_biteq!((1.7 as Float).round(), 2.0); |
| assert_biteq!((0.5 as Float).round(), 1.0); |
| assert_biteq!((0.0 as Float).round(), 0.0); |
| assert_biteq!((-0.0 as Float).round(), -0.0); |
| assert_biteq!((-0.5 as Float).round(), -1.0); |
| assert_biteq!((-1.0 as Float).round(), -1.0); |
| assert_biteq!((-1.3 as Float).round(), -1.0); |
| assert_biteq!((-1.5 as Float).round(), -2.0); |
| assert_biteq!((-1.7 as Float).round(), -2.0); |
| assert_biteq!(Float::MAX.round(), Float::MAX); |
| assert_biteq!(Float::MIN.round(), Float::MIN); |
| assert_biteq!(Float::MIN_POSITIVE.round(), 0.0); |
| assert_biteq!((-Float::MIN_POSITIVE).round(), -0.0); |
| assert!(Float::NAN.round().is_nan()); |
| assert_biteq!(Float::INFINITY.round(), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.round(), Float::NEG_INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: round_ties_even, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((2.5 as Float).round_ties_even(), 2.0); |
| assert_biteq!((1.0 as Float).round_ties_even(), 1.0); |
| assert_biteq!((1.3 as Float).round_ties_even(), 1.0); |
| assert_biteq!((1.5 as Float).round_ties_even(), 2.0); |
| assert_biteq!((1.7 as Float).round_ties_even(), 2.0); |
| assert_biteq!((0.5 as Float).round_ties_even(), 0.0); |
| assert_biteq!((0.0 as Float).round_ties_even(), 0.0); |
| assert_biteq!((-0.0 as Float).round_ties_even(), -0.0); |
| assert_biteq!((-0.5 as Float).round_ties_even(), -0.0); |
| assert_biteq!((-1.0 as Float).round_ties_even(), -1.0); |
| assert_biteq!((-1.3 as Float).round_ties_even(), -1.0); |
| assert_biteq!((-1.5 as Float).round_ties_even(), -2.0); |
| assert_biteq!((-1.7 as Float).round_ties_even(), -2.0); |
| assert_biteq!(Float::MAX.round_ties_even(), Float::MAX); |
| assert_biteq!(Float::MIN.round_ties_even(), Float::MIN); |
| assert_biteq!(Float::MIN_POSITIVE.round_ties_even(), 0.0); |
| assert_biteq!((-Float::MIN_POSITIVE).round_ties_even(), -0.0); |
| assert!(Float::NAN.round_ties_even().is_nan()); |
| assert_biteq!(Float::INFINITY.round_ties_even(), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.round_ties_even(), Float::NEG_INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: trunc, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((1.0 as Float).trunc(), 1.0); |
| assert_biteq!((1.3 as Float).trunc(), 1.0); |
| assert_biteq!((1.5 as Float).trunc(), 1.0); |
| assert_biteq!((1.7 as Float).trunc(), 1.0); |
| assert_biteq!((0.5 as Float).trunc(), 0.0); |
| assert_biteq!((0.0 as Float).trunc(), 0.0); |
| assert_biteq!((-0.0 as Float).trunc(), -0.0); |
| assert_biteq!((-0.5 as Float).trunc(), -0.0); |
| assert_biteq!((-1.0 as Float).trunc(), -1.0); |
| assert_biteq!((-1.3 as Float).trunc(), -1.0); |
| assert_biteq!((-1.5 as Float).trunc(), -1.0); |
| assert_biteq!((-1.7 as Float).trunc(), -1.0); |
| assert_biteq!(Float::MAX.trunc(), Float::MAX); |
| assert_biteq!(Float::MIN.trunc(), Float::MIN); |
| assert_biteq!(Float::MIN_POSITIVE.trunc(), 0.0); |
| assert_biteq!((-Float::MIN_POSITIVE).trunc(), -0.0); |
| assert!(Float::NAN.trunc().is_nan()); |
| assert_biteq!(Float::INFINITY.trunc(), Float::INFINITY); |
| assert_biteq!(Float::NEG_INFINITY.trunc(), Float::NEG_INFINITY); |
| } |
| } |
| |
| float_test! { |
| name: fract, |
| attrs: { |
| f16: #[cfg(any(miri, target_has_reliable_f16_math))], |
| f128: #[cfg(any(miri, target_has_reliable_f128_math))], |
| }, |
| test<Float> { |
| assert_biteq!((1.0 as Float).fract(), 0.0); |
| assert_approx_eq!((1.3 as Float).fract(), 0.3); // rounding differs between float types |
| assert_biteq!((1.5 as Float).fract(), 0.5); |
| assert_approx_eq!((1.7 as Float).fract(), 0.7); |
| assert_biteq!((0.5 as Float).fract(), 0.5); |
| assert_biteq!((0.0 as Float).fract(), 0.0); |
| assert_biteq!((-0.0 as Float).fract(), 0.0); |
| assert_biteq!((-0.5 as Float).fract(), -0.5); |
| assert_biteq!((-1.0 as Float).fract(), 0.0); |
| assert_approx_eq!((-1.3 as Float).fract(), -0.3); // rounding differs between float types |
| assert_biteq!((-1.5 as Float).fract(), -0.5); |
| assert_approx_eq!((-1.7 as Float).fract(), -0.7); |
| assert_biteq!(Float::MAX.fract(), 0.0); |
| assert_biteq!(Float::MIN.fract(), 0.0); |
| assert_biteq!(Float::MIN_POSITIVE.fract(), Float::MIN_POSITIVE); |
| assert!(Float::MIN_POSITIVE.fract().is_sign_positive()); |
| assert_biteq!((-Float::MIN_POSITIVE).fract(), -Float::MIN_POSITIVE); |
| assert!((-Float::MIN_POSITIVE).fract().is_sign_negative()); |
| assert!(Float::NAN.fract().is_nan()); |
| assert!(Float::INFINITY.fract().is_nan()); |
| assert!(Float::NEG_INFINITY.fract().is_nan()); |
| } |
| } |
