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https://github.com/rust-lang/rust
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Add tests for f16 and f128
This suite tests all library functions that are now available for the types. Tests are only run on certain platforms where `f16` and `f128` are known to work (have symbols available and don't crash LLVM).
This commit is contained in:
Trevor Gross
parent
6e2d934a88
commit
e181297c8c
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@ -1,29 +1,31 @@
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#![allow(dead_code)] // FIXME(f16_f128): remove once constants are used
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#![cfg(not(bootstrap))]
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// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy
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#![cfg(reliable_f128)]
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use crate::f128::consts;
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use crate::num::*;
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/// Smallest number
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const TINY_BITS: u128 = 0x1;
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/// Next smallest number
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const TINY_UP_BITS: u128 = 0x2;
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/// Exponent = 0b11...10, Sifnificand 0b1111..10. Min val > 0
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const MAX_DOWN_BITS: u128 = 0x7ffeffffffffffffffffffffffffffff;
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const MAX_DOWN_BITS: u128 = 0x7ffefffffffffffffffffffffffffffe;
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/// Zeroed exponent, full significant
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const LARGEST_SUBNORMAL_BITS: u128 = 0x0000ffffffffffffffffffffffffffff;
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/// Exponent = 0b1, zeroed significand
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const SMALLEST_NORMAL_BITS: u128 = 0x00010000000000000000000000000000;
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/// First pattern over the mantissa
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const NAN_MASK1: u128 = 0x0000aaaaaaaaaaaaaaaaaaaaaaaaaaaa;
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/// Second pattern over the mantissa
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const NAN_MASK2: u128 = 0x00005555555555555555555555555555;
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/// Compare by value
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#[allow(unused_macros)]
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macro_rules! assert_f128_eq {
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($a:expr, $b:expr) => {
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let (l, r): (&f128, &f128) = (&$a, &$b);
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assert_eq!(*l, *r, "\na: {:#0130x}\nb: {:#0130x}", l.to_bits(), r.to_bits())
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};
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}
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/// Compare by representation
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#[allow(unused_macros)]
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macro_rules! assert_f128_biteq {
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@ -31,10 +33,503 @@ macro_rules! assert_f128_biteq {
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let (l, r): (&f128, &f128) = (&$a, &$b);
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let lb = l.to_bits();
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let rb = r.to_bits();
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assert_eq!(
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lb, rb,
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"float {:?} is not bitequal to {:?}.\na: {:#0130x}\nb: {:#0130x}",
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*l, *r, lb, rb
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);
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assert_eq!(lb, rb, "float {l:?} is not bitequal to {r:?}.\na: {lb:#034x}\nb: {rb:#034x}");
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};
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}
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#[test]
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fn test_num_f128() {
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test_num(10f128, 2f128);
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}
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// FIXME(f16_f128): add min and max tests when available
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#[test]
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fn test_nan() {
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let nan: f128 = f128::NAN;
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assert!(nan.is_nan());
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assert!(!nan.is_infinite());
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assert!(!nan.is_finite());
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assert!(nan.is_sign_positive());
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assert!(!nan.is_sign_negative());
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// FIXME(f16_f128): classify
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// assert!(!nan.is_normal());
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// assert_eq!(Fp::Nan, nan.classify());
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}
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#[test]
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fn test_infinity() {
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let inf: f128 = f128::INFINITY;
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assert!(inf.is_infinite());
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assert!(!inf.is_finite());
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assert!(inf.is_sign_positive());
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assert!(!inf.is_sign_negative());
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assert!(!inf.is_nan());
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// FIXME(f16_f128): classify
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// assert!(!inf.is_normal());
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// assert_eq!(Fp::Infinite, inf.classify());
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}
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#[test]
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fn test_neg_infinity() {
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert!(neg_inf.is_infinite());
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assert!(!neg_inf.is_finite());
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assert!(!neg_inf.is_sign_positive());
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assert!(neg_inf.is_sign_negative());
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assert!(!neg_inf.is_nan());
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// FIXME(f16_f128): classify
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// assert!(!neg_inf.is_normal());
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// assert_eq!(Fp::Infinite, neg_inf.classify());
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}
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#[test]
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fn test_zero() {
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let zero: f128 = 0.0f128;
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assert_eq!(0.0, zero);
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assert!(!zero.is_infinite());
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assert!(zero.is_finite());
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assert!(zero.is_sign_positive());
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assert!(!zero.is_sign_negative());
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assert!(!zero.is_nan());
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// FIXME(f16_f128): classify
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// assert!(!zero.is_normal());
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// assert_eq!(Fp::Zero, zero.classify());
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}
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#[test]
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fn test_neg_zero() {
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let neg_zero: f128 = -0.0;
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assert_eq!(0.0, neg_zero);
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assert!(!neg_zero.is_infinite());
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assert!(neg_zero.is_finite());
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assert!(!neg_zero.is_sign_positive());
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assert!(neg_zero.is_sign_negative());
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assert!(!neg_zero.is_nan());
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// FIXME(f16_f128): classify
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// assert!(!neg_zero.is_normal());
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// assert_eq!(Fp::Zero, neg_zero.classify());
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}
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#[test]
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fn test_one() {
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let one: f128 = 1.0f128;
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assert_eq!(1.0, one);
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assert!(!one.is_infinite());
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assert!(one.is_finite());
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assert!(one.is_sign_positive());
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assert!(!one.is_sign_negative());
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assert!(!one.is_nan());
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// FIXME(f16_f128): classify
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// assert!(one.is_normal());
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// assert_eq!(Fp::Normal, one.classify());
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}
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#[test]
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fn test_is_nan() {
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let nan: f128 = f128::NAN;
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let inf: f128 = f128::INFINITY;
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert!(nan.is_nan());
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assert!(!0.0f128.is_nan());
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assert!(!5.3f128.is_nan());
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assert!(!(-10.732f128).is_nan());
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assert!(!inf.is_nan());
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assert!(!neg_inf.is_nan());
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}
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#[test]
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fn test_is_infinite() {
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let nan: f128 = f128::NAN;
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let inf: f128 = f128::INFINITY;
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert!(!nan.is_infinite());
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assert!(inf.is_infinite());
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assert!(neg_inf.is_infinite());
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assert!(!0.0f128.is_infinite());
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assert!(!42.8f128.is_infinite());
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assert!(!(-109.2f128).is_infinite());
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}
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#[test]
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fn test_is_finite() {
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let nan: f128 = f128::NAN;
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let inf: f128 = f128::INFINITY;
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert!(!nan.is_finite());
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assert!(!inf.is_finite());
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assert!(!neg_inf.is_finite());
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assert!(0.0f128.is_finite());
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assert!(42.8f128.is_finite());
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assert!((-109.2f128).is_finite());
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}
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// FIXME(f16_f128): add `test_is_normal` and `test_classify` when classify is working
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// FIXME(f16_f128): add missing math functions when available
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#[test]
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fn test_abs() {
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assert_eq!(f128::INFINITY.abs(), f128::INFINITY);
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assert_eq!(1f128.abs(), 1f128);
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assert_eq!(0f128.abs(), 0f128);
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assert_eq!((-0f128).abs(), 0f128);
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assert_eq!((-1f128).abs(), 1f128);
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assert_eq!(f128::NEG_INFINITY.abs(), f128::INFINITY);
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assert_eq!((1f128 / f128::NEG_INFINITY).abs(), 0f128);
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assert!(f128::NAN.abs().is_nan());
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}
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#[test]
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fn test_is_sign_positive() {
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assert!(f128::INFINITY.is_sign_positive());
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assert!(1f128.is_sign_positive());
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assert!(0f128.is_sign_positive());
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assert!(!(-0f128).is_sign_positive());
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assert!(!(-1f128).is_sign_positive());
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assert!(!f128::NEG_INFINITY.is_sign_positive());
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assert!(!(1f128 / f128::NEG_INFINITY).is_sign_positive());
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assert!(f128::NAN.is_sign_positive());
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assert!(!(-f128::NAN).is_sign_positive());
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}
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#[test]
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fn test_is_sign_negative() {
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assert!(!f128::INFINITY.is_sign_negative());
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assert!(!1f128.is_sign_negative());
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assert!(!0f128.is_sign_negative());
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assert!((-0f128).is_sign_negative());
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assert!((-1f128).is_sign_negative());
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assert!(f128::NEG_INFINITY.is_sign_negative());
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assert!((1f128 / f128::NEG_INFINITY).is_sign_negative());
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assert!(!f128::NAN.is_sign_negative());
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assert!((-f128::NAN).is_sign_negative());
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}
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#[test]
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fn test_next_up() {
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let tiny = f128::from_bits(TINY_BITS);
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let tiny_up = f128::from_bits(TINY_UP_BITS);
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let max_down = f128::from_bits(MAX_DOWN_BITS);
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let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
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let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
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assert_f128_biteq!(f128::NEG_INFINITY.next_up(), f128::MIN);
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assert_f128_biteq!(f128::MIN.next_up(), -max_down);
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assert_f128_biteq!((-1.0 - f128::EPSILON).next_up(), -1.0);
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assert_f128_biteq!((-smallest_normal).next_up(), -largest_subnormal);
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assert_f128_biteq!((-tiny_up).next_up(), -tiny);
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assert_f128_biteq!((-tiny).next_up(), -0.0f128);
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assert_f128_biteq!((-0.0f128).next_up(), tiny);
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assert_f128_biteq!(0.0f128.next_up(), tiny);
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assert_f128_biteq!(tiny.next_up(), tiny_up);
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assert_f128_biteq!(largest_subnormal.next_up(), smallest_normal);
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assert_f128_biteq!(1.0f128.next_up(), 1.0 + f128::EPSILON);
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assert_f128_biteq!(f128::MAX.next_up(), f128::INFINITY);
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assert_f128_biteq!(f128::INFINITY.next_up(), f128::INFINITY);
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// Check that NaNs roundtrip.
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let nan0 = f128::NAN;
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let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
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let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
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assert_f128_biteq!(nan0.next_up(), nan0);
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assert_f128_biteq!(nan1.next_up(), nan1);
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assert_f128_biteq!(nan2.next_up(), nan2);
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}
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#[test]
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fn test_next_down() {
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let tiny = f128::from_bits(TINY_BITS);
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let tiny_up = f128::from_bits(TINY_UP_BITS);
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let max_down = f128::from_bits(MAX_DOWN_BITS);
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let largest_subnormal = f128::from_bits(LARGEST_SUBNORMAL_BITS);
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let smallest_normal = f128::from_bits(SMALLEST_NORMAL_BITS);
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assert_f128_biteq!(f128::NEG_INFINITY.next_down(), f128::NEG_INFINITY);
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assert_f128_biteq!(f128::MIN.next_down(), f128::NEG_INFINITY);
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assert_f128_biteq!((-max_down).next_down(), f128::MIN);
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assert_f128_biteq!((-1.0f128).next_down(), -1.0 - f128::EPSILON);
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assert_f128_biteq!((-largest_subnormal).next_down(), -smallest_normal);
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assert_f128_biteq!((-tiny).next_down(), -tiny_up);
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assert_f128_biteq!((-0.0f128).next_down(), -tiny);
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assert_f128_biteq!((0.0f128).next_down(), -tiny);
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assert_f128_biteq!(tiny.next_down(), 0.0f128);
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assert_f128_biteq!(tiny_up.next_down(), tiny);
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assert_f128_biteq!(smallest_normal.next_down(), largest_subnormal);
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assert_f128_biteq!((1.0 + f128::EPSILON).next_down(), 1.0f128);
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assert_f128_biteq!(f128::MAX.next_down(), max_down);
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assert_f128_biteq!(f128::INFINITY.next_down(), f128::MAX);
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// Check that NaNs roundtrip.
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let nan0 = f128::NAN;
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let nan1 = f128::from_bits(f128::NAN.to_bits() ^ 0x002a_aaaa);
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let nan2 = f128::from_bits(f128::NAN.to_bits() ^ 0x0055_5555);
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assert_f128_biteq!(nan0.next_down(), nan0);
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assert_f128_biteq!(nan1.next_down(), nan1);
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assert_f128_biteq!(nan2.next_down(), nan2);
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}
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#[test]
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fn test_recip() {
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let nan: f128 = f128::NAN;
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let inf: f128 = f128::INFINITY;
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert_eq!(1.0f128.recip(), 1.0);
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assert_eq!(2.0f128.recip(), 0.5);
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assert_eq!((-0.4f128).recip(), -2.5);
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assert_eq!(0.0f128.recip(), inf);
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assert!(nan.recip().is_nan());
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assert_eq!(inf.recip(), 0.0);
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assert_eq!(neg_inf.recip(), 0.0);
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}
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#[test]
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fn test_to_degrees() {
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let pi: f128 = consts::PI;
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let nan: f128 = f128::NAN;
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let inf: f128 = f128::INFINITY;
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert_eq!(0.0f128.to_degrees(), 0.0);
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assert_approx_eq!((-5.8f128).to_degrees(), -332.315521);
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assert_eq!(pi.to_degrees(), 180.0);
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assert!(nan.to_degrees().is_nan());
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assert_eq!(inf.to_degrees(), inf);
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assert_eq!(neg_inf.to_degrees(), neg_inf);
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assert_eq!(1_f128.to_degrees(), 57.2957795130823208767981548141051703);
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}
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#[test]
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fn test_to_radians() {
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let pi: f128 = consts::PI;
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let nan: f128 = f128::NAN;
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let inf: f128 = f128::INFINITY;
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let neg_inf: f128 = f128::NEG_INFINITY;
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assert_eq!(0.0f128.to_radians(), 0.0);
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assert_approx_eq!(154.6f128.to_radians(), 2.698279);
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assert_approx_eq!((-332.31f128).to_radians(), -5.799903);
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// check approx rather than exact because round trip for pi doesn't fall on an exactly
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// representable value (unlike `f32` and `f64`).
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assert_approx_eq!(180.0f128.to_radians(), pi);
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assert!(nan.to_radians().is_nan());
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assert_eq!(inf.to_radians(), inf);
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assert_eq!(neg_inf.to_radians(), neg_inf);
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}
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#[test]
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fn test_real_consts() {
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// FIXME(f16_f128): add math tests when available
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use super::consts;
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let pi: f128 = consts::PI;
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let frac_pi_2: f128 = consts::FRAC_PI_2;
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let frac_pi_3: f128 = consts::FRAC_PI_3;
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let frac_pi_4: f128 = consts::FRAC_PI_4;
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let frac_pi_6: f128 = consts::FRAC_PI_6;
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let frac_pi_8: f128 = consts::FRAC_PI_8;
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let frac_1_pi: f128 = consts::FRAC_1_PI;
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let frac_2_pi: f128 = consts::FRAC_2_PI;
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// let frac_2_sqrtpi: f128 = consts::FRAC_2_SQRT_PI;
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// let sqrt2: f128 = consts::SQRT_2;
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// let frac_1_sqrt2: f128 = consts::FRAC_1_SQRT_2;
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// let e: f128 = consts::E;
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// let log2_e: f128 = consts::LOG2_E;
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// let log10_e: f128 = consts::LOG10_E;
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// let ln_2: f128 = consts::LN_2;
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// let ln_10: f128 = consts::LN_10;
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assert_approx_eq!(frac_pi_2, pi / 2f128);
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assert_approx_eq!(frac_pi_3, pi / 3f128);
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assert_approx_eq!(frac_pi_4, pi / 4f128);
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assert_approx_eq!(frac_pi_6, pi / 6f128);
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assert_approx_eq!(frac_pi_8, pi / 8f128);
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assert_approx_eq!(frac_1_pi, 1f128 / pi);
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assert_approx_eq!(frac_2_pi, 2f128 / pi);
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// assert_approx_eq!(frac_2_sqrtpi, 2f128 / pi.sqrt());
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// assert_approx_eq!(sqrt2, 2f128.sqrt());
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// assert_approx_eq!(frac_1_sqrt2, 1f128 / 2f128.sqrt());
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// assert_approx_eq!(log2_e, e.log2());
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// assert_approx_eq!(log10_e, e.log10());
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// assert_approx_eq!(ln_2, 2f128.ln());
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// assert_approx_eq!(ln_10, 10f128.ln());
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}
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#[test]
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fn test_float_bits_conv() {
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assert_eq!((1f128).to_bits(), 0x3fff0000000000000000000000000000);
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assert_eq!((12.5f128).to_bits(), 0x40029000000000000000000000000000);
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assert_eq!((1337f128).to_bits(), 0x40094e40000000000000000000000000);
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assert_eq!((-14.25f128).to_bits(), 0xc002c800000000000000000000000000);
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assert_approx_eq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0);
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||||
assert_approx_eq!(f128::from_bits(0x40029000000000000000000000000000), 12.5);
|
||||
assert_approx_eq!(f128::from_bits(0x40094e40000000000000000000000000), 1337.0);
|
||||
assert_approx_eq!(f128::from_bits(0xc002c800000000000000000000000000), -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 = 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()));
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,35 +1,37 @@
|
|||
#![allow(dead_code)] // FIXME(f16_f128): remove once constants are used
|
||||
#![cfg(not(bootstrap))]
|
||||
// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy
|
||||
#![cfg(reliable_f16)]
|
||||
|
||||
use crate::f16::consts;
|
||||
use crate::num::*;
|
||||
|
||||
// We run out of precision pretty quickly with f16
|
||||
const F16_APPROX_L1: f16 = 0.001;
|
||||
// const F16_APPROX_L1: f16 = 0.001;
|
||||
const F16_APPROX_L2: f16 = 0.01;
|
||||
const F16_APPROX_L3: f16 = 0.1;
|
||||
// const F16_APPROX_L3: f16 = 0.1;
|
||||
const F16_APPROX_L4: f16 = 0.5;
|
||||
|
||||
/// 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 value
|
||||
#[allow(unused_macros)]
|
||||
macro_rules! assert_f16_eq {
|
||||
($a:expr, $b:expr) => {
|
||||
let (l, r): (&f16, &f16) = (&$a, &$b);
|
||||
assert_eq!(*l, *r, "\na: {:#018x}\nb: {:#018x}", l.to_bits(), r.to_bits())
|
||||
};
|
||||
}
|
||||
|
||||
/// Compare by representation
|
||||
#[allow(unused_macros)]
|
||||
macro_rules! assert_f16_biteq {
|
||||
|
|
@ -37,10 +39,500 @@ macro_rules! assert_f16_biteq {
|
|||
let (l, r): (&f16, &f16) = (&$a, &$b);
|
||||
let lb = l.to_bits();
|
||||
let rb = r.to_bits();
|
||||
assert_eq!(
|
||||
lb, rb,
|
||||
"float {:?} is not bitequal to {:?}.\na: {:#018x}\nb: {:#018x}",
|
||||
*l, *r, lb, rb
|
||||
);
|
||||
assert_eq!(lb, rb, "float {l:?} ({lb:#04x}) is not bitequal to {r:?} ({rb:#04x})");
|
||||
};
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_num_f16() {
|
||||
test_num(10f16, 2f16);
|
||||
}
|
||||
|
||||
// FIXME(f16_f128): add min and max tests when available
|
||||
|
||||
#[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());
|
||||
// FIXME(f16_f128): classify
|
||||
// assert!(!nan.is_normal());
|
||||
// assert_eq!(Fp::Nan, nan.classify());
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_infinity() {
|
||||
let inf: f16 = f16::INFINITY;
|
||||
assert!(inf.is_infinite());
|
||||
assert!(!inf.is_finite());
|
||||
assert!(inf.is_sign_positive());
|
||||
assert!(!inf.is_sign_negative());
|
||||
assert!(!inf.is_nan());
|
||||
// FIXME(f16_f128): classify
|
||||
// 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());
|
||||
// FIXME(f16_f128): classify
|
||||
// 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());
|
||||
// FIXME(f16_f128): classify
|
||||
// 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());
|
||||
// FIXME(f16_f128): classify
|
||||
// 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());
|
||||
// FIXME(f16_f128): classify
|
||||
// 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());
|
||||
}
|
||||
|
||||
// FIXME(f16_f128): add `test_is_normal` and `test_classify` when classify is working
|
||||
// FIXME(f16_f128): add missing math functions when available
|
||||
|
||||
#[test]
|
||||
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]
|
||||
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!(nan.recip().is_nan());
|
||||
assert_eq!(inf.recip(), 0.0);
|
||||
assert_eq!(neg_inf.recip(), 0.0);
|
||||
}
|
||||
|
||||
#[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);
|
||||
assert_approx_eq!(pi.to_degrees(), 180.0, F16_APPROX_L4);
|
||||
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);
|
||||
assert_approx_eq!((-332.31f16).to_radians(), -5.799903);
|
||||
assert_approx_eq!(180.0f16.to_radians(), pi, F16_APPROX_L2);
|
||||
assert!(nan.to_radians().is_nan());
|
||||
assert_eq!(inf.to_radians(), inf);
|
||||
assert_eq!(neg_inf.to_radians(), neg_inf);
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_real_consts() {
|
||||
// FIXME(f16_f128): add math tests when available
|
||||
use super::consts;
|
||||
|
||||
let pi: f16 = consts::PI;
|
||||
let frac_pi_2: f16 = consts::FRAC_PI_2;
|
||||
let frac_pi_3: f16 = consts::FRAC_PI_3;
|
||||
let frac_pi_4: f16 = consts::FRAC_PI_4;
|
||||
let frac_pi_6: f16 = consts::FRAC_PI_6;
|
||||
let frac_pi_8: f16 = consts::FRAC_PI_8;
|
||||
let frac_1_pi: f16 = consts::FRAC_1_PI;
|
||||
let frac_2_pi: f16 = consts::FRAC_2_PI;
|
||||
// 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_pi_2, pi / 2f16);
|
||||
assert_approx_eq!(frac_pi_3, pi / 3f16);
|
||||
assert_approx_eq!(frac_pi_4, pi / 4f16);
|
||||
assert_approx_eq!(frac_pi_6, pi / 6f16);
|
||||
assert_approx_eq!(frac_pi_8, pi / 8f16);
|
||||
assert_approx_eq!(frac_1_pi, 1f16 / pi);
|
||||
assert_approx_eq!(frac_2_pi, 2f16 / pi);
|
||||
// assert_approx_eq!(frac_2_sqrtpi, 2f16 / pi.sqrt());
|
||||
// assert_approx_eq!(sqrt2, 2f16.sqrt());
|
||||
// assert_approx_eq!(frac_1_sqrt2, 1f16 / 2f16.sqrt());
|
||||
// assert_approx_eq!(log2_e, e.log2());
|
||||
// assert_approx_eq!(log10_e, e.log10());
|
||||
// assert_approx_eq!(ln_2, 2f16.ln());
|
||||
// assert_approx_eq!(ln_10, 10f16.ln());
|
||||
}
|
||||
|
||||
#[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);
|
||||
assert_approx_eq!(f16::from_bits(0x4a40), 12.5);
|
||||
assert_approx_eq!(f16::from_bits(0x6539), 1337.0);
|
||||
assert_approx_eq!(f16::from_bits(0xcb20), -14.25);
|
||||
|
||||
// Check that NaNs roundtrip their bits regardless of signaling-ness
|
||||
let masked_nan1 = f16::NAN.to_bits() ^ NAN_MASK1;
|
||||
let masked_nan2 = f16::NAN.to_bits() ^ NAN_MASK2;
|
||||
assert!(f16::from_bits(masked_nan1).is_nan());
|
||||
assert!(f16::from_bits(masked_nan2).is_nan());
|
||||
|
||||
assert_eq!(f16::from_bits(masked_nan1).to_bits(), masked_nan1);
|
||||
assert_eq!(f16::from_bits(masked_nan2).to_bits(), masked_nan2);
|
||||
}
|
||||
|
||||
#[test]
|
||||
#[should_panic]
|
||||
fn test_clamp_min_greater_than_max() {
|
||||
let _ = 1.0f16.clamp(3.0, 1.0);
|
||||
}
|
||||
|
||||
#[test]
|
||||
#[should_panic]
|
||||
fn test_clamp_min_is_nan() {
|
||||
let _ = 1.0f16.clamp(f16::NAN, 1.0);
|
||||
}
|
||||
|
||||
#[test]
|
||||
#[should_panic]
|
||||
fn test_clamp_max_is_nan() {
|
||||
let _ = 1.0f16.clamp(3.0, f16::NAN);
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_total_cmp() {
|
||||
use core::cmp::Ordering;
|
||||
|
||||
fn quiet_bit_mask() -> u16 {
|
||||
1 << (f16::MANTISSA_DIGITS - 2)
|
||||
}
|
||||
|
||||
// FIXME(f16_f128): test subnormals when powf is available
|
||||
// fn min_subnorm() -> f16 {
|
||||
// f16::MIN_POSITIVE / f16::powf(2.0, f16::MANTISSA_DIGITS as f16 - 1.0)
|
||||
// }
|
||||
|
||||
// fn max_subnorm() -> f16 {
|
||||
// f16::MIN_POSITIVE - min_subnorm()
|
||||
// }
|
||||
|
||||
fn q_nan() -> f16 {
|
||||
f16::from_bits(f16::NAN.to_bits() | quiet_bit_mask())
|
||||
}
|
||||
|
||||
fn s_nan() -> f16 {
|
||||
f16::from_bits((f16::NAN.to_bits() & !quiet_bit_mask()) + 42)
|
||||
}
|
||||
|
||||
assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan()));
|
||||
assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan()));
|
||||
assert_eq!(Ordering::Equal, (-f16::INFINITY).total_cmp(&-f16::INFINITY));
|
||||
assert_eq!(Ordering::Equal, (-f16::MAX).total_cmp(&-f16::MAX));
|
||||
assert_eq!(Ordering::Equal, (-2.5_f16).total_cmp(&-2.5));
|
||||
assert_eq!(Ordering::Equal, (-1.0_f16).total_cmp(&-1.0));
|
||||
assert_eq!(Ordering::Equal, (-1.5_f16).total_cmp(&-1.5));
|
||||
assert_eq!(Ordering::Equal, (-0.5_f16).total_cmp(&-0.5));
|
||||
assert_eq!(Ordering::Equal, (-f16::MIN_POSITIVE).total_cmp(&-f16::MIN_POSITIVE));
|
||||
// assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm()));
|
||||
// assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm()));
|
||||
assert_eq!(Ordering::Equal, (-0.0_f16).total_cmp(&-0.0));
|
||||
assert_eq!(Ordering::Equal, 0.0_f16.total_cmp(&0.0));
|
||||
// assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm()));
|
||||
// assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm()));
|
||||
assert_eq!(Ordering::Equal, f16::MIN_POSITIVE.total_cmp(&f16::MIN_POSITIVE));
|
||||
assert_eq!(Ordering::Equal, 0.5_f16.total_cmp(&0.5));
|
||||
assert_eq!(Ordering::Equal, 1.0_f16.total_cmp(&1.0));
|
||||
assert_eq!(Ordering::Equal, 1.5_f16.total_cmp(&1.5));
|
||||
assert_eq!(Ordering::Equal, 2.5_f16.total_cmp(&2.5));
|
||||
assert_eq!(Ordering::Equal, f16::MAX.total_cmp(&f16::MAX));
|
||||
assert_eq!(Ordering::Equal, f16::INFINITY.total_cmp(&f16::INFINITY));
|
||||
assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan()));
|
||||
assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan()));
|
||||
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
|
||||
assert_eq!(Ordering::Less, (-f16::INFINITY).total_cmp(&-f16::MAX));
|
||||
assert_eq!(Ordering::Less, (-f16::MAX).total_cmp(&-2.5));
|
||||
assert_eq!(Ordering::Less, (-2.5_f16).total_cmp(&-1.5));
|
||||
assert_eq!(Ordering::Less, (-1.5_f16).total_cmp(&-1.0));
|
||||
assert_eq!(Ordering::Less, (-1.0_f16).total_cmp(&-0.5));
|
||||
assert_eq!(Ordering::Less, (-0.5_f16).total_cmp(&-f16::MIN_POSITIVE));
|
||||
// assert_eq!(Ordering::Less, (-f16::MIN_POSITIVE).total_cmp(&-max_subnorm()));
|
||||
// assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm()));
|
||||
// assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0));
|
||||
assert_eq!(Ordering::Less, (-0.0_f16).total_cmp(&0.0));
|
||||
// assert_eq!(Ordering::Less, 0.0_f16.total_cmp(&min_subnorm()));
|
||||
// assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm()));
|
||||
// assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f16::MIN_POSITIVE));
|
||||
assert_eq!(Ordering::Less, f16::MIN_POSITIVE.total_cmp(&0.5));
|
||||
assert_eq!(Ordering::Less, 0.5_f16.total_cmp(&1.0));
|
||||
assert_eq!(Ordering::Less, 1.0_f16.total_cmp(&1.5));
|
||||
assert_eq!(Ordering::Less, 1.5_f16.total_cmp(&2.5));
|
||||
assert_eq!(Ordering::Less, 2.5_f16.total_cmp(&f16::MAX));
|
||||
assert_eq!(Ordering::Less, f16::MAX.total_cmp(&f16::INFINITY));
|
||||
assert_eq!(Ordering::Less, f16::INFINITY.total_cmp(&s_nan()));
|
||||
assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan()));
|
||||
|
||||
assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan()));
|
||||
assert_eq!(Ordering::Greater, (-f16::INFINITY).total_cmp(&-s_nan()));
|
||||
assert_eq!(Ordering::Greater, (-f16::MAX).total_cmp(&-f16::INFINITY));
|
||||
assert_eq!(Ordering::Greater, (-2.5_f16).total_cmp(&-f16::MAX));
|
||||
assert_eq!(Ordering::Greater, (-1.5_f16).total_cmp(&-2.5));
|
||||
assert_eq!(Ordering::Greater, (-1.0_f16).total_cmp(&-1.5));
|
||||
assert_eq!(Ordering::Greater, (-0.5_f16).total_cmp(&-1.0));
|
||||
assert_eq!(Ordering::Greater, (-f16::MIN_POSITIVE).total_cmp(&-0.5));
|
||||
// assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f16::MIN_POSITIVE));
|
||||
// assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm()));
|
||||
// assert_eq!(Ordering::Greater, (-0.0_f16).total_cmp(&-min_subnorm()));
|
||||
assert_eq!(Ordering::Greater, 0.0_f16.total_cmp(&-0.0));
|
||||
// assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0));
|
||||
// assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm()));
|
||||
// assert_eq!(Ordering::Greater, f16::MIN_POSITIVE.total_cmp(&max_subnorm()));
|
||||
assert_eq!(Ordering::Greater, 0.5_f16.total_cmp(&f16::MIN_POSITIVE));
|
||||
assert_eq!(Ordering::Greater, 1.0_f16.total_cmp(&0.5));
|
||||
assert_eq!(Ordering::Greater, 1.5_f16.total_cmp(&1.0));
|
||||
assert_eq!(Ordering::Greater, 2.5_f16.total_cmp(&1.5));
|
||||
assert_eq!(Ordering::Greater, f16::MAX.total_cmp(&2.5));
|
||||
assert_eq!(Ordering::Greater, f16::INFINITY.total_cmp(&f16::MAX));
|
||||
assert_eq!(Ordering::Greater, s_nan().total_cmp(&f16::INFINITY));
|
||||
assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan()));
|
||||
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan()));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::INFINITY));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MAX));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f16::MIN_POSITIVE));
|
||||
// assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm()));
|
||||
// assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm()));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0));
|
||||
// assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm()));
|
||||
// assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm()));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MIN_POSITIVE));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::MAX));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f16::INFINITY));
|
||||
assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan()));
|
||||
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::INFINITY));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MAX));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f16::MIN_POSITIVE));
|
||||
// assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm()));
|
||||
// assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm()));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0));
|
||||
// assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm()));
|
||||
// assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm()));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MIN_POSITIVE));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::MAX));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f16::INFINITY));
|
||||
assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan()));
|
||||
}
|
||||
|
|
|
|||
|
|
@ -373,10 +373,17 @@ macro_rules! dbg {
|
|||
};
|
||||
}
|
||||
|
||||
/// Verify that floats are within a tolerance of each other, 1.0e-6 by default.
|
||||
#[cfg(test)]
|
||||
macro_rules! assert_approx_eq {
|
||||
($a:expr, $b:expr) => {{
|
||||
($a:expr, $b:expr) => {{ assert_approx_eq!($a, $b, 1.0e-6) }};
|
||||
($a:expr, $b:expr, $lim:expr) => {{
|
||||
let (a, b) = (&$a, &$b);
|
||||
assert!((*a - *b).abs() < 1.0e-6, "{} is not approximately equal to {}", *a, *b);
|
||||
let diff = (*a - *b).abs();
|
||||
assert!(
|
||||
diff < $lim,
|
||||
"{a:?} is not approximately equal to {b:?} (threshold {lim:?}, actual {diff:?})",
|
||||
lim = $lim
|
||||
);
|
||||
}};
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in a new issue