diff options
Diffstat (limited to 'library/std/src/f128/tests.rs')
| -rw-r--r-- | library/std/src/f128/tests.rs | 450 |
1 files changed, 416 insertions, 34 deletions
diff --git a/library/std/src/f128/tests.rs b/library/std/src/f128/tests.rs index 162c8dbad81..df806a639f6 100644 --- a/library/std/src/f128/tests.rs +++ b/library/std/src/f128/tests.rs @@ -4,6 +4,21 @@ use crate::f128::consts; use crate::num::{FpCategory as Fp, *}; +// Note these tolerances make sense around zero, but not for more extreme exponents. + +/// For operations that are near exact, usually not involving math of different +/// signs. +const TOL_PRECISE: f128 = 1e-28; + +/// Default tolerances. Works for values that should be near precise but not exact. Roughly +/// the precision carried by `100 * 100`. +const TOL: f128 = 1e-12; + +/// Tolerances for math that is allowed to be imprecise, usually due to multiple chained +/// operations. +#[cfg(reliable_f128_math)] +const TOL_IMPR: f128 = 1e-10; + /// Smallest number const TINY_BITS: u128 = 0x1; @@ -191,9 +206,100 @@ fn test_classify() { assert_eq!(1e-4932f128.classify(), Fp::Subnormal); } -// FIXME(f16_f128): add missing math functions when available +#[test] +#[cfg(reliable_f128_math)] +fn test_floor() { + assert_approx_eq!(1.0f128.floor(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.3f128.floor(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.5f128.floor(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.7f128.floor(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(0.0f128.floor(), 0.0f128, TOL_PRECISE); + assert_approx_eq!((-0.0f128).floor(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.0f128).floor(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.3f128).floor(), -2.0f128, TOL_PRECISE); + assert_approx_eq!((-1.5f128).floor(), -2.0f128, TOL_PRECISE); + assert_approx_eq!((-1.7f128).floor(), -2.0f128, TOL_PRECISE); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_ceil() { + assert_approx_eq!(1.0f128.ceil(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.3f128.ceil(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(1.5f128.ceil(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(1.7f128.ceil(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(0.0f128.ceil(), 0.0f128, TOL_PRECISE); + assert_approx_eq!((-0.0f128).ceil(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.0f128).ceil(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.3f128).ceil(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.5f128).ceil(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.7f128).ceil(), -1.0f128, TOL_PRECISE); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_round() { + assert_approx_eq!(2.5f128.round(), 3.0f128, TOL_PRECISE); + assert_approx_eq!(1.0f128.round(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.3f128.round(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.5f128.round(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(1.7f128.round(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(0.0f128.round(), 0.0f128, TOL_PRECISE); + assert_approx_eq!((-0.0f128).round(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.0f128).round(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.3f128).round(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.5f128).round(), -2.0f128, TOL_PRECISE); + assert_approx_eq!((-1.7f128).round(), -2.0f128, TOL_PRECISE); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_round_ties_even() { + assert_approx_eq!(2.5f128.round_ties_even(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(1.0f128.round_ties_even(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.3f128.round_ties_even(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.5f128.round_ties_even(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(1.7f128.round_ties_even(), 2.0f128, TOL_PRECISE); + assert_approx_eq!(0.0f128.round_ties_even(), 0.0f128, TOL_PRECISE); + assert_approx_eq!((-0.0f128).round_ties_even(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.0f128).round_ties_even(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.3f128).round_ties_even(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.5f128).round_ties_even(), -2.0f128, TOL_PRECISE); + assert_approx_eq!((-1.7f128).round_ties_even(), -2.0f128, TOL_PRECISE); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_trunc() { + assert_approx_eq!(1.0f128.trunc(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.3f128.trunc(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.5f128.trunc(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(1.7f128.trunc(), 1.0f128, TOL_PRECISE); + assert_approx_eq!(0.0f128.trunc(), 0.0f128, TOL_PRECISE); + assert_approx_eq!((-0.0f128).trunc(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.0f128).trunc(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.3f128).trunc(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.5f128).trunc(), -1.0f128, TOL_PRECISE); + assert_approx_eq!((-1.7f128).trunc(), -1.0f128, TOL_PRECISE); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_fract() { + assert_approx_eq!(1.0f128.fract(), 0.0f128, TOL_PRECISE); + assert_approx_eq!(1.3f128.fract(), 0.3f128, TOL_PRECISE); + assert_approx_eq!(1.5f128.fract(), 0.5f128, TOL_PRECISE); + assert_approx_eq!(1.7f128.fract(), 0.7f128, TOL_PRECISE); + assert_approx_eq!(0.0f128.fract(), 0.0f128, TOL_PRECISE); + assert_approx_eq!((-0.0f128).fract(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.0f128).fract(), -0.0f128, TOL_PRECISE); + assert_approx_eq!((-1.3f128).fract(), -0.3f128, TOL_PRECISE); + assert_approx_eq!((-1.5f128).fract(), -0.5f128, TOL_PRECISE); + assert_approx_eq!((-1.7f128).fract(), -0.7f128, TOL_PRECISE); +} #[test] +#[cfg(reliable_f128_math)] fn test_abs() { assert_eq!(f128::INFINITY.abs(), f128::INFINITY); assert_eq!(1f128.abs(), 1f128); @@ -293,6 +399,24 @@ fn test_next_down() { } #[test] +#[cfg(reliable_f128_math)] +fn test_mul_add() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_approx_eq!(12.3f128.mul_add(4.5, 6.7), 62.05, TOL_PRECISE); + assert_approx_eq!((-12.3f128).mul_add(-4.5, -6.7), 48.65, TOL_PRECISE); + assert_approx_eq!(0.0f128.mul_add(8.9, 1.2), 1.2, TOL_PRECISE); + assert_approx_eq!(3.4f128.mul_add(-0.0, 5.6), 5.6, TOL_PRECISE); + assert!(nan.mul_add(7.8, 9.0).is_nan()); + assert_eq!(inf.mul_add(7.8, 9.0), inf); + assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf); + assert_eq!(8.9f128.mul_add(inf, 3.2), inf); + assert_eq!((-3.2f128).mul_add(2.4, neg_inf), neg_inf); +} + +#[test] +#[cfg(reliable_f16_math)] fn test_recip() { let nan: f128 = f128::NAN; let inf: f128 = f128::INFINITY; @@ -301,11 +425,161 @@ fn test_recip() { assert_eq!(2.0f128.recip(), 0.5); assert_eq!((-0.4f128).recip(), -2.5); assert_eq!(0.0f128.recip(), inf); + assert_approx_eq!( + f128::MAX.recip(), + 8.40525785778023376565669454330438228902076605e-4933, + 1e-4900 + ); assert!(nan.recip().is_nan()); assert_eq!(inf.recip(), 0.0); assert_eq!(neg_inf.recip(), 0.0); } +// Many math functions allow for less accurate results, so the next tolerance up is used + +#[test] +#[cfg(reliable_f128_math)] +fn test_powi() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_eq!(1.0f128.powi(1), 1.0); + assert_approx_eq!((-3.1f128).powi(2), 9.6100000000000005506706202140776519387, TOL); + assert_approx_eq!(5.9f128.powi(-2), 0.028727377190462507313100483690639638451, TOL); + assert_eq!(8.3f128.powi(0), 1.0); + assert!(nan.powi(2).is_nan()); + assert_eq!(inf.powi(3), inf); + assert_eq!(neg_inf.powi(2), inf); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_powf() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_eq!(1.0f128.powf(1.0), 1.0); + assert_approx_eq!(3.4f128.powf(4.5), 246.40818323761892815995637964326426756, TOL_IMPR); + assert_approx_eq!(2.7f128.powf(-3.2), 0.041652009108526178281070304373500889273, TOL_IMPR); + assert_approx_eq!((-3.1f128).powf(2.0), 9.6100000000000005506706202140776519387, TOL_IMPR); + assert_approx_eq!(5.9f128.powf(-2.0), 0.028727377190462507313100483690639638451, TOL_IMPR); + assert_eq!(8.3f128.powf(0.0), 1.0); + assert!(nan.powf(2.0).is_nan()); + assert_eq!(inf.powf(2.0), inf); + assert_eq!(neg_inf.powf(3.0), neg_inf); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_sqrt_domain() { + assert!(f128::NAN.sqrt().is_nan()); + assert!(f128::NEG_INFINITY.sqrt().is_nan()); + assert!((-1.0f128).sqrt().is_nan()); + assert_eq!((-0.0f128).sqrt(), -0.0); + assert_eq!(0.0f128.sqrt(), 0.0); + assert_eq!(1.0f128.sqrt(), 1.0); + assert_eq!(f128::INFINITY.sqrt(), f128::INFINITY); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_exp() { + assert_eq!(1.0, 0.0f128.exp()); + assert_approx_eq!(consts::E, 1.0f128.exp(), TOL); + assert_approx_eq!(148.41315910257660342111558004055227962348775, 5.0f128.exp(), TOL); + + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + let nan: f128 = f128::NAN; + assert_eq!(inf, inf.exp()); + assert_eq!(0.0, neg_inf.exp()); + assert!(nan.exp().is_nan()); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_exp2() { + assert_eq!(32.0, 5.0f128.exp2()); + assert_eq!(1.0, 0.0f128.exp2()); + + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + let nan: f128 = f128::NAN; + assert_eq!(inf, inf.exp2()); + assert_eq!(0.0, neg_inf.exp2()); + assert!(nan.exp2().is_nan()); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_ln() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_approx_eq!(1.0f128.exp().ln(), 1.0, TOL); + assert!(nan.ln().is_nan()); + assert_eq!(inf.ln(), inf); + assert!(neg_inf.ln().is_nan()); + assert!((-2.3f128).ln().is_nan()); + assert_eq!((-0.0f128).ln(), neg_inf); + assert_eq!(0.0f128.ln(), neg_inf); + assert_approx_eq!(4.0f128.ln(), 1.3862943611198906188344642429163531366, TOL); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_log() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_eq!(10.0f128.log(10.0), 1.0); + assert_approx_eq!(2.3f128.log(3.5), 0.66485771361478710036766645911922010272, TOL); + assert_eq!(1.0f128.exp().log(1.0f128.exp()), 1.0); + assert!(1.0f128.log(1.0).is_nan()); + assert!(1.0f128.log(-13.9).is_nan()); + assert!(nan.log(2.3).is_nan()); + assert_eq!(inf.log(10.0), inf); + assert!(neg_inf.log(8.8).is_nan()); + assert!((-2.3f128).log(0.1).is_nan()); + assert_eq!((-0.0f128).log(2.0), neg_inf); + assert_eq!(0.0f128.log(7.0), neg_inf); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_log2() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_approx_eq!(10.0f128.log2(), 3.32192809488736234787031942948939017, TOL); + assert_approx_eq!(2.3f128.log2(), 1.2016338611696504130002982471978765921, TOL); + assert_approx_eq!(1.0f128.exp().log2(), 1.4426950408889634073599246810018921381, TOL); + assert!(nan.log2().is_nan()); + assert_eq!(inf.log2(), inf); + assert!(neg_inf.log2().is_nan()); + assert!((-2.3f128).log2().is_nan()); + assert_eq!((-0.0f128).log2(), neg_inf); + assert_eq!(0.0f128.log2(), neg_inf); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_log10() { + let nan: f128 = f128::NAN; + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + assert_eq!(10.0f128.log10(), 1.0); + assert_approx_eq!(2.3f128.log10(), 0.36172783601759284532595218865859309898, TOL); + assert_approx_eq!(1.0f128.exp().log10(), 0.43429448190325182765112891891660508222, TOL); + assert_eq!(1.0f128.log10(), 0.0); + assert!(nan.log10().is_nan()); + assert_eq!(inf.log10(), inf); + assert!(neg_inf.log10().is_nan()); + assert!((-2.3f128).log10().is_nan()); + assert_eq!((-0.0f128).log10(), neg_inf); + assert_eq!(0.0f128.log10(), neg_inf); +} + #[test] fn test_to_degrees() { let pi: f128 = consts::PI; @@ -313,8 +587,8 @@ fn test_to_degrees() { let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_eq!(0.0f128.to_degrees(), 0.0); - assert_approx_eq!((-5.8f128).to_degrees(), -332.315521); - assert_eq!(pi.to_degrees(), 180.0); + assert_approx_eq!((-5.8f128).to_degrees(), -332.31552117587745090765431723855668471, TOL); + assert_approx_eq!(pi.to_degrees(), 180.0, TOL); assert!(nan.to_degrees().is_nan()); assert_eq!(inf.to_degrees(), inf); assert_eq!(neg_inf.to_degrees(), neg_inf); @@ -328,19 +602,122 @@ fn test_to_radians() { let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_eq!(0.0f128.to_radians(), 0.0); - assert_approx_eq!(154.6f128.to_radians(), 2.698279); - assert_approx_eq!((-332.31f128).to_radians(), -5.799903); + assert_approx_eq!(154.6f128.to_radians(), 2.6982790235832334267135442069489767804, TOL); + assert_approx_eq!((-332.31f128).to_radians(), -5.7999036373023566567593094812182763013, TOL); // check approx rather than exact because round trip for pi doesn't fall on an exactly // representable value (unlike `f32` and `f64`). - assert_approx_eq!(180.0f128.to_radians(), pi); + assert_approx_eq!(180.0f128.to_radians(), pi, TOL_PRECISE); assert!(nan.to_radians().is_nan()); assert_eq!(inf.to_radians(), inf); assert_eq!(neg_inf.to_radians(), neg_inf); } #[test] +#[cfg(reliable_f128_math)] +fn test_asinh() { + // Lower accuracy results are allowed, use increased tolerances + assert_eq!(0.0f128.asinh(), 0.0f128); + assert_eq!((-0.0f128).asinh(), -0.0f128); + + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + let nan: f128 = f128::NAN; + assert_eq!(inf.asinh(), inf); + assert_eq!(neg_inf.asinh(), neg_inf); + assert!(nan.asinh().is_nan()); + assert!((-0.0f128).asinh().is_sign_negative()); + + // issue 63271 + assert_approx_eq!(2.0f128.asinh(), 1.443635475178810342493276740273105f128, TOL_IMPR); + assert_approx_eq!((-2.0f128).asinh(), -1.443635475178810342493276740273105f128, TOL_IMPR); + // regression test for the catastrophic cancellation fixed in 72486 + assert_approx_eq!( + (-67452098.07139316f128).asinh(), + -18.720075426274544393985484294000831757220, + TOL_IMPR + ); + + // test for low accuracy from issue 104548 + assert_approx_eq!(60.0f128, 60.0f128.sinh().asinh(), TOL_IMPR); + // mul needed for approximate comparison to be meaningful + assert_approx_eq!(1.0f128, 1e-15f128.sinh().asinh() * 1e15f128, TOL_IMPR); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_acosh() { + assert_eq!(1.0f128.acosh(), 0.0f128); + assert!(0.999f128.acosh().is_nan()); + + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + let nan: f128 = f128::NAN; + assert_eq!(inf.acosh(), inf); + assert!(neg_inf.acosh().is_nan()); + assert!(nan.acosh().is_nan()); + assert_approx_eq!(2.0f128.acosh(), 1.31695789692481670862504634730796844f128, TOL_IMPR); + assert_approx_eq!(3.0f128.acosh(), 1.76274717403908605046521864995958461f128, TOL_IMPR); + + // test for low accuracy from issue 104548 + assert_approx_eq!(60.0f128, 60.0f128.cosh().acosh(), TOL_IMPR); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_atanh() { + assert_eq!(0.0f128.atanh(), 0.0f128); + assert_eq!((-0.0f128).atanh(), -0.0f128); + + let inf: f128 = f128::INFINITY; + let neg_inf: f128 = f128::NEG_INFINITY; + let nan: f128 = f128::NAN; + assert_eq!(1.0f128.atanh(), inf); + assert_eq!((-1.0f128).atanh(), neg_inf); + assert!(2f128.atanh().atanh().is_nan()); + assert!((-2f128).atanh().atanh().is_nan()); + assert!(inf.atanh().is_nan()); + assert!(neg_inf.atanh().is_nan()); + assert!(nan.atanh().is_nan()); + assert_approx_eq!(0.5f128.atanh(), 0.54930614433405484569762261846126285f128, TOL_IMPR); + assert_approx_eq!((-0.5f128).atanh(), -0.54930614433405484569762261846126285f128, TOL_IMPR); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_gamma() { + // precision can differ among platforms + assert_approx_eq!(1.0f128.gamma(), 1.0f128, TOL_IMPR); + assert_approx_eq!(2.0f128.gamma(), 1.0f128, TOL_IMPR); + assert_approx_eq!(3.0f128.gamma(), 2.0f128, TOL_IMPR); + assert_approx_eq!(4.0f128.gamma(), 6.0f128, TOL_IMPR); + assert_approx_eq!(5.0f128.gamma(), 24.0f128, TOL_IMPR); + assert_approx_eq!(0.5f128.gamma(), consts::PI.sqrt(), TOL_IMPR); + assert_approx_eq!((-0.5f128).gamma(), -2.0 * consts::PI.sqrt(), TOL_IMPR); + assert_eq!(0.0f128.gamma(), f128::INFINITY); + assert_eq!((-0.0f128).gamma(), f128::NEG_INFINITY); + assert!((-1.0f128).gamma().is_nan()); + assert!((-2.0f128).gamma().is_nan()); + assert!(f128::NAN.gamma().is_nan()); + assert!(f128::NEG_INFINITY.gamma().is_nan()); + assert_eq!(f128::INFINITY.gamma(), f128::INFINITY); + assert_eq!(1760.9f128.gamma(), f128::INFINITY); +} + +#[test] +#[cfg(reliable_f128_math)] +fn test_ln_gamma() { + assert_approx_eq!(1.0f128.ln_gamma().0, 0.0f128, TOL_IMPR); + assert_eq!(1.0f128.ln_gamma().1, 1); + assert_approx_eq!(2.0f128.ln_gamma().0, 0.0f128, TOL_IMPR); + assert_eq!(2.0f128.ln_gamma().1, 1); + assert_approx_eq!(3.0f128.ln_gamma().0, 2.0f128.ln(), TOL_IMPR); + assert_eq!(3.0f128.ln_gamma().1, 1); + assert_approx_eq!((-0.5f128).ln_gamma().0, (2.0 * consts::PI.sqrt()).ln(), TOL_IMPR); + assert_eq!((-0.5f128).ln_gamma().1, -1); +} + +#[test] fn test_real_consts() { - // FIXME(f16_f128): add math tests when available use super::consts; let pi: f128 = consts::PI; @@ -351,29 +728,34 @@ fn test_real_consts() { let frac_pi_8: f128 = consts::FRAC_PI_8; let frac_1_pi: f128 = consts::FRAC_1_PI; let frac_2_pi: f128 = consts::FRAC_2_PI; - // let frac_2_sqrtpi: f128 = consts::FRAC_2_SQRT_PI; - // let sqrt2: f128 = consts::SQRT_2; - // let frac_1_sqrt2: f128 = consts::FRAC_1_SQRT_2; - // let e: f128 = consts::E; - // let log2_e: f128 = consts::LOG2_E; - // let log10_e: f128 = consts::LOG10_E; - // let ln_2: f128 = consts::LN_2; - // let ln_10: f128 = consts::LN_10; - - assert_approx_eq!(frac_pi_2, pi / 2f128); - assert_approx_eq!(frac_pi_3, pi / 3f128); - assert_approx_eq!(frac_pi_4, pi / 4f128); - assert_approx_eq!(frac_pi_6, pi / 6f128); - assert_approx_eq!(frac_pi_8, pi / 8f128); - assert_approx_eq!(frac_1_pi, 1f128 / pi); - assert_approx_eq!(frac_2_pi, 2f128 / pi); - // assert_approx_eq!(frac_2_sqrtpi, 2f128 / pi.sqrt()); - // assert_approx_eq!(sqrt2, 2f128.sqrt()); - // assert_approx_eq!(frac_1_sqrt2, 1f128 / 2f128.sqrt()); - // assert_approx_eq!(log2_e, e.log2()); - // assert_approx_eq!(log10_e, e.log10()); - // assert_approx_eq!(ln_2, 2f128.ln()); - // assert_approx_eq!(ln_10, 10f128.ln()); + + assert_approx_eq!(frac_pi_2, pi / 2f128, TOL_PRECISE); + assert_approx_eq!(frac_pi_3, pi / 3f128, TOL_PRECISE); + assert_approx_eq!(frac_pi_4, pi / 4f128, TOL_PRECISE); + assert_approx_eq!(frac_pi_6, pi / 6f128, TOL_PRECISE); + assert_approx_eq!(frac_pi_8, pi / 8f128, TOL_PRECISE); + assert_approx_eq!(frac_1_pi, 1f128 / pi, TOL_PRECISE); + assert_approx_eq!(frac_2_pi, 2f128 / pi, TOL_PRECISE); + + #[cfg(reliable_f128_math)] + { + let frac_2_sqrtpi: f128 = consts::FRAC_2_SQRT_PI; + let sqrt2: f128 = consts::SQRT_2; + let frac_1_sqrt2: f128 = consts::FRAC_1_SQRT_2; + let e: f128 = consts::E; + let log2_e: f128 = consts::LOG2_E; + let log10_e: f128 = consts::LOG10_E; + let ln_2: f128 = consts::LN_2; + let ln_10: f128 = consts::LN_10; + + assert_approx_eq!(frac_2_sqrtpi, 2f128 / pi.sqrt(), TOL_PRECISE); + assert_approx_eq!(sqrt2, 2f128.sqrt(), TOL_PRECISE); + assert_approx_eq!(frac_1_sqrt2, 1f128 / 2f128.sqrt(), TOL_PRECISE); + assert_approx_eq!(log2_e, e.log2(), TOL_PRECISE); + assert_approx_eq!(log10_e, e.log10(), TOL_PRECISE); + assert_approx_eq!(ln_2, 2f128.ln(), TOL_PRECISE); + assert_approx_eq!(ln_10, 10f128.ln(), TOL_PRECISE); + } } #[test] @@ -382,10 +764,10 @@ fn test_float_bits_conv() { assert_eq!((12.5f128).to_bits(), 0x40029000000000000000000000000000); assert_eq!((1337f128).to_bits(), 0x40094e40000000000000000000000000); assert_eq!((-14.25f128).to_bits(), 0xc002c800000000000000000000000000); - assert_approx_eq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0); - 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); + assert_approx_eq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0, TOL_PRECISE); + assert_approx_eq!(f128::from_bits(0x40029000000000000000000000000000), 12.5, TOL_PRECISE); + assert_approx_eq!(f128::from_bits(0x40094e40000000000000000000000000), 1337.0, TOL_PRECISE); + assert_approx_eq!(f128::from_bits(0xc002c800000000000000000000000000), -14.25, TOL_PRECISE); // Check that NaNs roundtrip their bits regardless of signaling-ness // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits |