// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy #![cfg(target_has_reliable_f16)] use std::f16::consts; use super::{assert_approx_eq, assert_biteq}; /// Tolerance for results on the order of 10.0e-2 #[allow(unused)] const TOL_N2: f16 = 0.0001; /// Tolerance for results on the order of 10.0e+0 #[allow(unused)] const TOL_0: f16 = 0.01; /// Tolerance for results on the order of 10.0e+2 #[allow(unused)] const TOL_P2: f16 = 0.5; /// Tolerance for results on the order of 10.0e+4 #[allow(unused)] const TOL_P4: f16 = 10.0; /// First pattern over the mantissa const NAN_MASK1: u16 = 0x02aa; /// Second pattern over the mantissa const NAN_MASK2: u16 = 0x0155; // FIXME(f16_f128,miri): many of these have to be disabled since miri does not yet support // the intrinsics. #[test] #[cfg(not(miri))] #[cfg(target_has_reliable_f16_math)] fn test_mul_add() { let nan: f16 = f16::NAN; let inf: f16 = f16::INFINITY; let neg_inf: f16 = f16::NEG_INFINITY; assert_biteq!(12.3f16.mul_add(4.5, 6.7), 62.031); assert_biteq!((-12.3f16).mul_add(-4.5, -6.7), 48.625); assert_biteq!(0.0f16.mul_add(8.9, 1.2), 1.2); assert_biteq!(3.4f16.mul_add(-0.0, 5.6), 5.6); assert!(nan.mul_add(7.8, 9.0).is_nan()); assert_biteq!(inf.mul_add(7.8, 9.0), inf); assert_biteq!(neg_inf.mul_add(7.8, 9.0), neg_inf); assert_biteq!(8.9f16.mul_add(inf, 3.2), inf); assert_biteq!((-3.2f16).mul_add(2.4, neg_inf), neg_inf); } #[test] #[cfg(any(miri, target_has_reliable_f16_math))] fn test_recip() { let nan: f16 = f16::NAN; let inf: f16 = f16::INFINITY; let neg_inf: f16 = f16::NEG_INFINITY; assert_biteq!(1.0f16.recip(), 1.0); assert_biteq!(2.0f16.recip(), 0.5); assert_biteq!((-0.4f16).recip(), -2.5); assert_biteq!(0.0f16.recip(), inf); assert_approx_eq!(f16::MAX.recip(), 1.526624e-5f16, 1e-4); assert!(nan.recip().is_nan()); assert_biteq!(inf.recip(), 0.0); assert_biteq!(neg_inf.recip(), -0.0); } #[test] #[cfg(not(miri))] #[cfg(target_has_reliable_f16_math)] fn test_powi() { let nan: f16 = f16::NAN; let inf: f16 = f16::INFINITY; let neg_inf: f16 = f16::NEG_INFINITY; assert_biteq!(1.0f16.powi(1), 1.0); assert_approx_eq!((-3.1f16).powi(2), 9.61, TOL_0); assert_approx_eq!(5.9f16.powi(-2), 0.028727, TOL_N2); assert_biteq!(8.3f16.powi(0), 1.0); assert!(nan.powi(2).is_nan()); assert_biteq!(inf.powi(3), inf); assert_biteq!(neg_inf.powi(2), inf); } #[test] fn test_to_degrees() { let pi: f16 = consts::PI; let nan: f16 = f16::NAN; let inf: f16 = f16::INFINITY; let neg_inf: f16 = f16::NEG_INFINITY; assert_biteq!(0.0f16.to_degrees(), 0.0); assert_approx_eq!((-5.8f16).to_degrees(), -332.315521, TOL_P2); assert_approx_eq!(pi.to_degrees(), 180.0, TOL_P2); assert!(nan.to_degrees().is_nan()); assert_biteq!(inf.to_degrees(), inf); assert_biteq!(neg_inf.to_degrees(), neg_inf); assert_biteq!(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_biteq!(0.0f16.to_radians(), 0.0); assert_approx_eq!(154.6f16.to_radians(), 2.698279, TOL_0); assert_approx_eq!((-332.31f16).to_radians(), -5.799903, TOL_0); assert_approx_eq!(180.0f16.to_radians(), pi, TOL_0); assert!(nan.to_radians().is_nan()); assert_biteq!(inf.to_radians(), inf); assert_biteq!(neg_inf.to_radians(), neg_inf); } #[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_biteq!(f16::from_bits(0x3c00), 1.0); assert_biteq!(f16::from_bits(0x4a40), 12.5); assert_biteq!(f16::from_bits(0x6539), 1337.0); assert_biteq!(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] fn test_algebraic() { let a: f16 = 123.0; let b: f16 = 456.0; // Check that individual operations match their primitive counterparts. // // This is a check of current implementations and does NOT imply any form of // guarantee about future behavior. The compiler reserves the right to make // these operations inexact matches in the future. let eps_add = if cfg!(miri) { 1e1 } else { 0.0 }; let eps_mul = if cfg!(miri) { 1e3 } else { 0.0 }; let eps_div = if cfg!(miri) { 1e0 } else { 0.0 }; assert_approx_eq!(a.algebraic_add(b), a + b, eps_add); assert_approx_eq!(a.algebraic_sub(b), a - b, eps_add); assert_approx_eq!(a.algebraic_mul(b), a * b, eps_mul); assert_approx_eq!(a.algebraic_div(b), a / b, eps_div); assert_approx_eq!(a.algebraic_rem(b), a % b, eps_div); } #[test] fn test_from() { assert_biteq!(f16::from(false), 0.0); assert_biteq!(f16::from(true), 1.0); assert_biteq!(f16::from(u8::MIN), 0.0); assert_biteq!(f16::from(42_u8), 42.0); assert_biteq!(f16::from(u8::MAX), 255.0); assert_biteq!(f16::from(i8::MIN), -128.0); assert_biteq!(f16::from(42_i8), 42.0); assert_biteq!(f16::from(i8::MAX), 127.0); }