| use crate::f32::consts; |
| use crate::num::FpCategory as Fp; |
| use crate::num::*; |
| |
| #[test] |
| fn test_num_f32() { |
| test_num(10f32, 2f32); |
| } |
| |
| #[test] |
| fn test_min_nan() { |
| assert_eq!(f32::NAN.min(2.0), 2.0); |
| assert_eq!(2.0f32.min(f32::NAN), 2.0); |
| } |
| |
| #[test] |
| fn test_max_nan() { |
| assert_eq!(f32::NAN.max(2.0), 2.0); |
| assert_eq!(2.0f32.max(f32::NAN), 2.0); |
| } |
| |
| #[test] |
| fn test_minimum() { |
| assert!(f32::NAN.minimum(2.0).is_nan()); |
| assert!(2.0f32.minimum(f32::NAN).is_nan()); |
| } |
| |
| #[test] |
| fn test_maximum() { |
| assert!(f32::NAN.maximum(2.0).is_nan()); |
| assert!(2.0f32.maximum(f32::NAN).is_nan()); |
| } |
| |
| #[test] |
| fn test_nan() { |
| let nan: f32 = f32::NAN; |
| assert!(nan.is_nan()); |
| assert!(!nan.is_infinite()); |
| assert!(!nan.is_finite()); |
| assert!(!nan.is_normal()); |
| assert!(nan.is_sign_positive()); |
| assert!(!nan.is_sign_negative()); |
| assert_eq!(Fp::Nan, nan.classify()); |
| } |
| |
| #[test] |
| fn test_infinity() { |
| let inf: f32 = f32::INFINITY; |
| assert!(inf.is_infinite()); |
| assert!(!inf.is_finite()); |
| assert!(inf.is_sign_positive()); |
| assert!(!inf.is_sign_negative()); |
| assert!(!inf.is_nan()); |
| assert!(!inf.is_normal()); |
| assert_eq!(Fp::Infinite, inf.classify()); |
| } |
| |
| #[test] |
| fn test_neg_infinity() { |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert!(neg_inf.is_infinite()); |
| assert!(!neg_inf.is_finite()); |
| assert!(!neg_inf.is_sign_positive()); |
| assert!(neg_inf.is_sign_negative()); |
| assert!(!neg_inf.is_nan()); |
| assert!(!neg_inf.is_normal()); |
| assert_eq!(Fp::Infinite, neg_inf.classify()); |
| } |
| |
| #[test] |
| fn test_zero() { |
| let zero: f32 = 0.0f32; |
| assert_eq!(0.0, zero); |
| assert!(!zero.is_infinite()); |
| assert!(zero.is_finite()); |
| assert!(zero.is_sign_positive()); |
| assert!(!zero.is_sign_negative()); |
| assert!(!zero.is_nan()); |
| assert!(!zero.is_normal()); |
| assert_eq!(Fp::Zero, zero.classify()); |
| } |
| |
| #[test] |
| fn test_neg_zero() { |
| let neg_zero: f32 = -0.0; |
| assert_eq!(0.0, neg_zero); |
| assert!(!neg_zero.is_infinite()); |
| assert!(neg_zero.is_finite()); |
| assert!(!neg_zero.is_sign_positive()); |
| assert!(neg_zero.is_sign_negative()); |
| assert!(!neg_zero.is_nan()); |
| assert!(!neg_zero.is_normal()); |
| assert_eq!(Fp::Zero, neg_zero.classify()); |
| } |
| |
| #[test] |
| fn test_one() { |
| let one: f32 = 1.0f32; |
| assert_eq!(1.0, one); |
| assert!(!one.is_infinite()); |
| assert!(one.is_finite()); |
| assert!(one.is_sign_positive()); |
| assert!(!one.is_sign_negative()); |
| assert!(!one.is_nan()); |
| assert!(one.is_normal()); |
| assert_eq!(Fp::Normal, one.classify()); |
| } |
| |
| #[test] |
| fn test_is_nan() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert!(nan.is_nan()); |
| assert!(!0.0f32.is_nan()); |
| assert!(!5.3f32.is_nan()); |
| assert!(!(-10.732f32).is_nan()); |
| assert!(!inf.is_nan()); |
| assert!(!neg_inf.is_nan()); |
| } |
| |
| #[test] |
| fn test_is_infinite() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert!(!nan.is_infinite()); |
| assert!(inf.is_infinite()); |
| assert!(neg_inf.is_infinite()); |
| assert!(!0.0f32.is_infinite()); |
| assert!(!42.8f32.is_infinite()); |
| assert!(!(-109.2f32).is_infinite()); |
| } |
| |
| #[test] |
| fn test_is_finite() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert!(!nan.is_finite()); |
| assert!(!inf.is_finite()); |
| assert!(!neg_inf.is_finite()); |
| assert!(0.0f32.is_finite()); |
| assert!(42.8f32.is_finite()); |
| assert!((-109.2f32).is_finite()); |
| } |
| |
| #[test] |
| fn test_is_normal() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| let zero: f32 = 0.0f32; |
| let neg_zero: f32 = -0.0; |
| assert!(!nan.is_normal()); |
| assert!(!inf.is_normal()); |
| assert!(!neg_inf.is_normal()); |
| assert!(!zero.is_normal()); |
| assert!(!neg_zero.is_normal()); |
| assert!(1f32.is_normal()); |
| assert!(1e-37f32.is_normal()); |
| assert!(!1e-38f32.is_normal()); |
| } |
| |
| #[test] |
| fn test_classify() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| let zero: f32 = 0.0f32; |
| let neg_zero: f32 = -0.0; |
| assert_eq!(nan.classify(), Fp::Nan); |
| assert_eq!(inf.classify(), Fp::Infinite); |
| assert_eq!(neg_inf.classify(), Fp::Infinite); |
| assert_eq!(zero.classify(), Fp::Zero); |
| assert_eq!(neg_zero.classify(), Fp::Zero); |
| assert_eq!(1f32.classify(), Fp::Normal); |
| assert_eq!(1e-37f32.classify(), Fp::Normal); |
| assert_eq!(1e-38f32.classify(), Fp::Subnormal); |
| } |
| |
| #[test] |
| fn test_floor() { |
| assert_approx_eq!(1.0f32.floor(), 1.0f32); |
| assert_approx_eq!(1.3f32.floor(), 1.0f32); |
| assert_approx_eq!(1.5f32.floor(), 1.0f32); |
| assert_approx_eq!(1.7f32.floor(), 1.0f32); |
| assert_approx_eq!(0.0f32.floor(), 0.0f32); |
| assert_approx_eq!((-0.0f32).floor(), -0.0f32); |
| assert_approx_eq!((-1.0f32).floor(), -1.0f32); |
| assert_approx_eq!((-1.3f32).floor(), -2.0f32); |
| assert_approx_eq!((-1.5f32).floor(), -2.0f32); |
| assert_approx_eq!((-1.7f32).floor(), -2.0f32); |
| } |
| |
| #[test] |
| fn test_ceil() { |
| assert_approx_eq!(1.0f32.ceil(), 1.0f32); |
| assert_approx_eq!(1.3f32.ceil(), 2.0f32); |
| assert_approx_eq!(1.5f32.ceil(), 2.0f32); |
| assert_approx_eq!(1.7f32.ceil(), 2.0f32); |
| assert_approx_eq!(0.0f32.ceil(), 0.0f32); |
| assert_approx_eq!((-0.0f32).ceil(), -0.0f32); |
| assert_approx_eq!((-1.0f32).ceil(), -1.0f32); |
| assert_approx_eq!((-1.3f32).ceil(), -1.0f32); |
| assert_approx_eq!((-1.5f32).ceil(), -1.0f32); |
| assert_approx_eq!((-1.7f32).ceil(), -1.0f32); |
| } |
| |
| #[test] |
| fn test_round() { |
| assert_approx_eq!(1.0f32.round(), 1.0f32); |
| assert_approx_eq!(1.3f32.round(), 1.0f32); |
| assert_approx_eq!(1.5f32.round(), 2.0f32); |
| assert_approx_eq!(1.7f32.round(), 2.0f32); |
| assert_approx_eq!(0.0f32.round(), 0.0f32); |
| assert_approx_eq!((-0.0f32).round(), -0.0f32); |
| assert_approx_eq!((-1.0f32).round(), -1.0f32); |
| assert_approx_eq!((-1.3f32).round(), -1.0f32); |
| assert_approx_eq!((-1.5f32).round(), -2.0f32); |
| assert_approx_eq!((-1.7f32).round(), -2.0f32); |
| } |
| |
| #[test] |
| fn test_trunc() { |
| assert_approx_eq!(1.0f32.trunc(), 1.0f32); |
| assert_approx_eq!(1.3f32.trunc(), 1.0f32); |
| assert_approx_eq!(1.5f32.trunc(), 1.0f32); |
| assert_approx_eq!(1.7f32.trunc(), 1.0f32); |
| assert_approx_eq!(0.0f32.trunc(), 0.0f32); |
| assert_approx_eq!((-0.0f32).trunc(), -0.0f32); |
| assert_approx_eq!((-1.0f32).trunc(), -1.0f32); |
| assert_approx_eq!((-1.3f32).trunc(), -1.0f32); |
| assert_approx_eq!((-1.5f32).trunc(), -1.0f32); |
| assert_approx_eq!((-1.7f32).trunc(), -1.0f32); |
| } |
| |
| #[test] |
| fn test_fract() { |
| assert_approx_eq!(1.0f32.fract(), 0.0f32); |
| assert_approx_eq!(1.3f32.fract(), 0.3f32); |
| assert_approx_eq!(1.5f32.fract(), 0.5f32); |
| assert_approx_eq!(1.7f32.fract(), 0.7f32); |
| assert_approx_eq!(0.0f32.fract(), 0.0f32); |
| assert_approx_eq!((-0.0f32).fract(), -0.0f32); |
| assert_approx_eq!((-1.0f32).fract(), -0.0f32); |
| assert_approx_eq!((-1.3f32).fract(), -0.3f32); |
| assert_approx_eq!((-1.5f32).fract(), -0.5f32); |
| assert_approx_eq!((-1.7f32).fract(), -0.7f32); |
| } |
| |
| #[test] |
| fn test_abs() { |
| assert_eq!(f32::INFINITY.abs(), f32::INFINITY); |
| assert_eq!(1f32.abs(), 1f32); |
| assert_eq!(0f32.abs(), 0f32); |
| assert_eq!((-0f32).abs(), 0f32); |
| assert_eq!((-1f32).abs(), 1f32); |
| assert_eq!(f32::NEG_INFINITY.abs(), f32::INFINITY); |
| assert_eq!((1f32 / f32::NEG_INFINITY).abs(), 0f32); |
| assert!(f32::NAN.abs().is_nan()); |
| } |
| |
| #[test] |
| fn test_signum() { |
| assert_eq!(f32::INFINITY.signum(), 1f32); |
| assert_eq!(1f32.signum(), 1f32); |
| assert_eq!(0f32.signum(), 1f32); |
| assert_eq!((-0f32).signum(), -1f32); |
| assert_eq!((-1f32).signum(), -1f32); |
| assert_eq!(f32::NEG_INFINITY.signum(), -1f32); |
| assert_eq!((1f32 / f32::NEG_INFINITY).signum(), -1f32); |
| assert!(f32::NAN.signum().is_nan()); |
| } |
| |
| #[test] |
| fn test_is_sign_positive() { |
| assert!(f32::INFINITY.is_sign_positive()); |
| assert!(1f32.is_sign_positive()); |
| assert!(0f32.is_sign_positive()); |
| assert!(!(-0f32).is_sign_positive()); |
| assert!(!(-1f32).is_sign_positive()); |
| assert!(!f32::NEG_INFINITY.is_sign_positive()); |
| assert!(!(1f32 / f32::NEG_INFINITY).is_sign_positive()); |
| assert!(f32::NAN.is_sign_positive()); |
| assert!(!(-f32::NAN).is_sign_positive()); |
| } |
| |
| #[test] |
| fn test_is_sign_negative() { |
| assert!(!f32::INFINITY.is_sign_negative()); |
| assert!(!1f32.is_sign_negative()); |
| assert!(!0f32.is_sign_negative()); |
| assert!((-0f32).is_sign_negative()); |
| assert!((-1f32).is_sign_negative()); |
| assert!(f32::NEG_INFINITY.is_sign_negative()); |
| assert!((1f32 / f32::NEG_INFINITY).is_sign_negative()); |
| assert!(!f32::NAN.is_sign_negative()); |
| assert!((-f32::NAN).is_sign_negative()); |
| } |
| |
| #[allow(unused_macros)] |
| macro_rules! assert_f32_biteq { |
| ($left : expr, $right : expr) => { |
| let l: &f32 = &$left; |
| let r: &f32 = &$right; |
| let lb = l.to_bits(); |
| let rb = r.to_bits(); |
| assert_eq!(lb, rb, "float {} ({:#x}) is not equal to {} ({:#x})", *l, lb, *r, rb); |
| }; |
| } |
| |
| // Ignore test on x87 floating point, these platforms do not guarantee NaN |
| // payloads are preserved and flush denormals to zero, failing the tests. |
| #[cfg(not(target_arch = "x86"))] |
| #[test] |
| fn test_next_up() { |
| let tiny = f32::from_bits(1); |
| let tiny_up = f32::from_bits(2); |
| let max_down = f32::from_bits(0x7f7f_fffe); |
| let largest_subnormal = f32::from_bits(0x007f_ffff); |
| let smallest_normal = f32::from_bits(0x0080_0000); |
| assert_f32_biteq!(f32::NEG_INFINITY.next_up(), f32::MIN); |
| assert_f32_biteq!(f32::MIN.next_up(), -max_down); |
| assert_f32_biteq!((-1.0 - f32::EPSILON).next_up(), -1.0); |
| assert_f32_biteq!((-smallest_normal).next_up(), -largest_subnormal); |
| assert_f32_biteq!((-tiny_up).next_up(), -tiny); |
| assert_f32_biteq!((-tiny).next_up(), -0.0f32); |
| assert_f32_biteq!((-0.0f32).next_up(), tiny); |
| assert_f32_biteq!(0.0f32.next_up(), tiny); |
| assert_f32_biteq!(tiny.next_up(), tiny_up); |
| assert_f32_biteq!(largest_subnormal.next_up(), smallest_normal); |
| assert_f32_biteq!(1.0f32.next_up(), 1.0 + f32::EPSILON); |
| assert_f32_biteq!(f32::MAX.next_up(), f32::INFINITY); |
| assert_f32_biteq!(f32::INFINITY.next_up(), f32::INFINITY); |
| |
| // Check that NaNs roundtrip. |
| let nan0 = f32::NAN; |
| let nan1 = f32::from_bits(f32::NAN.to_bits() ^ 0x002a_aaaa); |
| let nan2 = f32::from_bits(f32::NAN.to_bits() ^ 0x0055_5555); |
| assert_f32_biteq!(nan0.next_up(), nan0); |
| assert_f32_biteq!(nan1.next_up(), nan1); |
| assert_f32_biteq!(nan2.next_up(), nan2); |
| } |
| |
| // Ignore test on x87 floating point, these platforms do not guarantee NaN |
| // payloads are preserved and flush denormals to zero, failing the tests. |
| #[cfg(not(target_arch = "x86"))] |
| #[test] |
| fn test_next_down() { |
| let tiny = f32::from_bits(1); |
| let tiny_up = f32::from_bits(2); |
| let max_down = f32::from_bits(0x7f7f_fffe); |
| let largest_subnormal = f32::from_bits(0x007f_ffff); |
| let smallest_normal = f32::from_bits(0x0080_0000); |
| assert_f32_biteq!(f32::NEG_INFINITY.next_down(), f32::NEG_INFINITY); |
| assert_f32_biteq!(f32::MIN.next_down(), f32::NEG_INFINITY); |
| assert_f32_biteq!((-max_down).next_down(), f32::MIN); |
| assert_f32_biteq!((-1.0f32).next_down(), -1.0 - f32::EPSILON); |
| assert_f32_biteq!((-largest_subnormal).next_down(), -smallest_normal); |
| assert_f32_biteq!((-tiny).next_down(), -tiny_up); |
| assert_f32_biteq!((-0.0f32).next_down(), -tiny); |
| assert_f32_biteq!((0.0f32).next_down(), -tiny); |
| assert_f32_biteq!(tiny.next_down(), 0.0f32); |
| assert_f32_biteq!(tiny_up.next_down(), tiny); |
| assert_f32_biteq!(smallest_normal.next_down(), largest_subnormal); |
| assert_f32_biteq!((1.0 + f32::EPSILON).next_down(), 1.0f32); |
| assert_f32_biteq!(f32::MAX.next_down(), max_down); |
| assert_f32_biteq!(f32::INFINITY.next_down(), f32::MAX); |
| |
| // Check that NaNs roundtrip. |
| let nan0 = f32::NAN; |
| let nan1 = f32::from_bits(f32::NAN.to_bits() ^ 0x002a_aaaa); |
| let nan2 = f32::from_bits(f32::NAN.to_bits() ^ 0x0055_5555); |
| assert_f32_biteq!(nan0.next_down(), nan0); |
| assert_f32_biteq!(nan1.next_down(), nan1); |
| assert_f32_biteq!(nan2.next_down(), nan2); |
| } |
| |
| #[test] |
| fn test_mul_add() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_approx_eq!(12.3f32.mul_add(4.5, 6.7), 62.05); |
| assert_approx_eq!((-12.3f32).mul_add(-4.5, -6.7), 48.65); |
| assert_approx_eq!(0.0f32.mul_add(8.9, 1.2), 1.2); |
| assert_approx_eq!(3.4f32.mul_add(-0.0, 5.6), 5.6); |
| assert!(nan.mul_add(7.8, 9.0).is_nan()); |
| assert_eq!(inf.mul_add(7.8, 9.0), inf); |
| assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf); |
| assert_eq!(8.9f32.mul_add(inf, 3.2), inf); |
| assert_eq!((-3.2f32).mul_add(2.4, neg_inf), neg_inf); |
| } |
| |
| #[test] |
| fn test_recip() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(1.0f32.recip(), 1.0); |
| assert_eq!(2.0f32.recip(), 0.5); |
| assert_eq!((-0.4f32).recip(), -2.5); |
| assert_eq!(0.0f32.recip(), inf); |
| assert!(nan.recip().is_nan()); |
| assert_eq!(inf.recip(), 0.0); |
| assert_eq!(neg_inf.recip(), 0.0); |
| } |
| |
| #[test] |
| fn test_powi() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(1.0f32.powi(1), 1.0); |
| assert_approx_eq!((-3.1f32).powi(2), 9.61); |
| assert_approx_eq!(5.9f32.powi(-2), 0.028727); |
| assert_eq!(8.3f32.powi(0), 1.0); |
| assert!(nan.powi(2).is_nan()); |
| assert_eq!(inf.powi(3), inf); |
| assert_eq!(neg_inf.powi(2), inf); |
| } |
| |
| #[test] |
| fn test_powf() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(1.0f32.powf(1.0), 1.0); |
| assert_approx_eq!(3.4f32.powf(4.5), 246.408218); |
| assert_approx_eq!(2.7f32.powf(-3.2), 0.041652); |
| assert_approx_eq!((-3.1f32).powf(2.0), 9.61); |
| assert_approx_eq!(5.9f32.powf(-2.0), 0.028727); |
| assert_eq!(8.3f32.powf(0.0), 1.0); |
| assert!(nan.powf(2.0).is_nan()); |
| assert_eq!(inf.powf(2.0), inf); |
| assert_eq!(neg_inf.powf(3.0), neg_inf); |
| } |
| |
| #[test] |
| fn test_sqrt_domain() { |
| assert!(f32::NAN.sqrt().is_nan()); |
| assert!(f32::NEG_INFINITY.sqrt().is_nan()); |
| assert!((-1.0f32).sqrt().is_nan()); |
| assert_eq!((-0.0f32).sqrt(), -0.0); |
| assert_eq!(0.0f32.sqrt(), 0.0); |
| assert_eq!(1.0f32.sqrt(), 1.0); |
| assert_eq!(f32::INFINITY.sqrt(), f32::INFINITY); |
| } |
| |
| #[test] |
| fn test_exp() { |
| assert_eq!(1.0, 0.0f32.exp()); |
| assert_approx_eq!(2.718282, 1.0f32.exp()); |
| assert_approx_eq!(148.413162, 5.0f32.exp()); |
| |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| let nan: f32 = f32::NAN; |
| assert_eq!(inf, inf.exp()); |
| assert_eq!(0.0, neg_inf.exp()); |
| assert!(nan.exp().is_nan()); |
| } |
| |
| #[test] |
| fn test_exp2() { |
| assert_eq!(32.0, 5.0f32.exp2()); |
| assert_eq!(1.0, 0.0f32.exp2()); |
| |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| let nan: f32 = f32::NAN; |
| assert_eq!(inf, inf.exp2()); |
| assert_eq!(0.0, neg_inf.exp2()); |
| assert!(nan.exp2().is_nan()); |
| } |
| |
| #[test] |
| fn test_ln() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_approx_eq!(1.0f32.exp().ln(), 1.0); |
| assert!(nan.ln().is_nan()); |
| assert_eq!(inf.ln(), inf); |
| assert!(neg_inf.ln().is_nan()); |
| assert!((-2.3f32).ln().is_nan()); |
| assert_eq!((-0.0f32).ln(), neg_inf); |
| assert_eq!(0.0f32.ln(), neg_inf); |
| assert_approx_eq!(4.0f32.ln(), 1.386294); |
| } |
| |
| #[test] |
| fn test_log() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(10.0f32.log(10.0), 1.0); |
| assert_approx_eq!(2.3f32.log(3.5), 0.664858); |
| assert_eq!(1.0f32.exp().log(1.0f32.exp()), 1.0); |
| assert!(1.0f32.log(1.0).is_nan()); |
| assert!(1.0f32.log(-13.9).is_nan()); |
| assert!(nan.log(2.3).is_nan()); |
| assert_eq!(inf.log(10.0), inf); |
| assert!(neg_inf.log(8.8).is_nan()); |
| assert!((-2.3f32).log(0.1).is_nan()); |
| assert_eq!((-0.0f32).log(2.0), neg_inf); |
| assert_eq!(0.0f32.log(7.0), neg_inf); |
| } |
| |
| #[test] |
| fn test_log2() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_approx_eq!(10.0f32.log2(), 3.321928); |
| assert_approx_eq!(2.3f32.log2(), 1.201634); |
| assert_approx_eq!(1.0f32.exp().log2(), 1.442695); |
| assert!(nan.log2().is_nan()); |
| assert_eq!(inf.log2(), inf); |
| assert!(neg_inf.log2().is_nan()); |
| assert!((-2.3f32).log2().is_nan()); |
| assert_eq!((-0.0f32).log2(), neg_inf); |
| assert_eq!(0.0f32.log2(), neg_inf); |
| } |
| |
| #[test] |
| fn test_log10() { |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(10.0f32.log10(), 1.0); |
| assert_approx_eq!(2.3f32.log10(), 0.361728); |
| assert_approx_eq!(1.0f32.exp().log10(), 0.434294); |
| assert_eq!(1.0f32.log10(), 0.0); |
| assert!(nan.log10().is_nan()); |
| assert_eq!(inf.log10(), inf); |
| assert!(neg_inf.log10().is_nan()); |
| assert!((-2.3f32).log10().is_nan()); |
| assert_eq!((-0.0f32).log10(), neg_inf); |
| assert_eq!(0.0f32.log10(), neg_inf); |
| } |
| |
| #[test] |
| fn test_to_degrees() { |
| let pi: f32 = consts::PI; |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(0.0f32.to_degrees(), 0.0); |
| assert_approx_eq!((-5.8f32).to_degrees(), -332.315521); |
| assert_eq!(pi.to_degrees(), 180.0); |
| assert!(nan.to_degrees().is_nan()); |
| assert_eq!(inf.to_degrees(), inf); |
| assert_eq!(neg_inf.to_degrees(), neg_inf); |
| assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703); |
| } |
| |
| #[test] |
| fn test_to_radians() { |
| let pi: f32 = consts::PI; |
| let nan: f32 = f32::NAN; |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| assert_eq!(0.0f32.to_radians(), 0.0); |
| assert_approx_eq!(154.6f32.to_radians(), 2.698279); |
| assert_approx_eq!((-332.31f32).to_radians(), -5.799903); |
| assert_eq!(180.0f32.to_radians(), pi); |
| assert!(nan.to_radians().is_nan()); |
| assert_eq!(inf.to_radians(), inf); |
| assert_eq!(neg_inf.to_radians(), neg_inf); |
| } |
| |
| #[test] |
| fn test_asinh() { |
| assert_eq!(0.0f32.asinh(), 0.0f32); |
| assert_eq!((-0.0f32).asinh(), -0.0f32); |
| |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| let nan: f32 = f32::NAN; |
| assert_eq!(inf.asinh(), inf); |
| assert_eq!(neg_inf.asinh(), neg_inf); |
| assert!(nan.asinh().is_nan()); |
| assert!((-0.0f32).asinh().is_sign_negative()); // issue 63271 |
| assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32); |
| assert_approx_eq!((-2.0f32).asinh(), -1.443635475178810342493276740273105f32); |
| // regression test for the catastrophic cancellation fixed in 72486 |
| assert_approx_eq!((-3000.0f32).asinh(), -8.699514775987968673236893537700647f32); |
| |
| // test for low accuracy from issue 104548 |
| assert_approx_eq!(60.0f32, 60.0f32.sinh().asinh()); |
| // mul needed for approximate comparison to be meaningful |
| assert_approx_eq!(1.0f32, 1e-15f32.sinh().asinh() * 1e15f32); |
| } |
| |
| #[test] |
| fn test_acosh() { |
| assert_eq!(1.0f32.acosh(), 0.0f32); |
| assert!(0.999f32.acosh().is_nan()); |
| |
| let inf: f32 = f32::INFINITY; |
| let neg_inf: f32 = f32::NEG_INFINITY; |
| let nan: f32 = f32::NAN; |
| assert_eq!(inf.acosh(), inf); |
| assert!(neg_inf.acosh().is_nan()); |
| assert!(nan.acosh().is_nan()); |
| assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32); |
| assert_approx_eq!(3.0f32.acosh(), 1.76274717403908605046521864995958461f32); |
| |
| // test for low accuracy from issue 104548 |
| assert_approx_eq!(60.0f32, 60.0f32.cosh().acosh()); |
| } |
| |
| #[test] |
| fn test_atanh() { |
| assert_eq!(0.0f32.atanh(), 0.0f32); |
| assert_eq!((-0.0f32).atanh(), -0.0f32); |
| |
| let inf32: f32 = f32::INFINITY; |
| let neg_inf32: f32 = f32::NEG_INFINITY; |
| assert_eq!(1.0f32.atanh(), inf32); |
| assert_eq!((-1.0f32).atanh(), neg_inf32); |
| |
| assert!(2f64.atanh().atanh().is_nan()); |
| assert!((-2f64).atanh().atanh().is_nan()); |
| |
| let inf64: f32 = f32::INFINITY; |
| let neg_inf64: f32 = f32::NEG_INFINITY; |
| let nan32: f32 = f32::NAN; |
| assert!(inf64.atanh().is_nan()); |
| assert!(neg_inf64.atanh().is_nan()); |
| assert!(nan32.atanh().is_nan()); |
| |
| assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32); |
| assert_approx_eq!((-0.5f32).atanh(), -0.54930614433405484569762261846126285f32); |
| } |
| |
| #[test] |
| fn test_real_consts() { |
| use super::consts; |
| |
| let pi: f32 = consts::PI; |
| let frac_pi_2: f32 = consts::FRAC_PI_2; |
| let frac_pi_3: f32 = consts::FRAC_PI_3; |
| let frac_pi_4: f32 = consts::FRAC_PI_4; |
| let frac_pi_6: f32 = consts::FRAC_PI_6; |
| let frac_pi_8: f32 = consts::FRAC_PI_8; |
| let frac_1_pi: f32 = consts::FRAC_1_PI; |
| let frac_2_pi: f32 = consts::FRAC_2_PI; |
| let frac_2_sqrtpi: f32 = consts::FRAC_2_SQRT_PI; |
| let sqrt2: f32 = consts::SQRT_2; |
| let frac_1_sqrt2: f32 = consts::FRAC_1_SQRT_2; |
| let e: f32 = consts::E; |
| let log2_e: f32 = consts::LOG2_E; |
| let log10_e: f32 = consts::LOG10_E; |
| let ln_2: f32 = consts::LN_2; |
| let ln_10: f32 = consts::LN_10; |
| |
| assert_approx_eq!(frac_pi_2, pi / 2f32); |
| assert_approx_eq!(frac_pi_3, pi / 3f32); |
| assert_approx_eq!(frac_pi_4, pi / 4f32); |
| assert_approx_eq!(frac_pi_6, pi / 6f32); |
| assert_approx_eq!(frac_pi_8, pi / 8f32); |
| assert_approx_eq!(frac_1_pi, 1f32 / pi); |
| assert_approx_eq!(frac_2_pi, 2f32 / pi); |
| assert_approx_eq!(frac_2_sqrtpi, 2f32 / pi.sqrt()); |
| assert_approx_eq!(sqrt2, 2f32.sqrt()); |
| assert_approx_eq!(frac_1_sqrt2, 1f32 / 2f32.sqrt()); |
| assert_approx_eq!(log2_e, e.log2()); |
| assert_approx_eq!(log10_e, e.log10()); |
| assert_approx_eq!(ln_2, 2f32.ln()); |
| assert_approx_eq!(ln_10, 10f32.ln()); |
| } |
| |
| #[test] |
| fn test_float_bits_conv() { |
| assert_eq!((1f32).to_bits(), 0x3f800000); |
| assert_eq!((12.5f32).to_bits(), 0x41480000); |
| assert_eq!((1337f32).to_bits(), 0x44a72000); |
| assert_eq!((-14.25f32).to_bits(), 0xc1640000); |
| assert_approx_eq!(f32::from_bits(0x3f800000), 1.0); |
| assert_approx_eq!(f32::from_bits(0x41480000), 12.5); |
| assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0); |
| assert_approx_eq!(f32::from_bits(0xc1640000), -14.25); |
| |
| // Check that NaNs roundtrip their bits regardless of signaling-ness |
| // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits |
| let masked_nan1 = f32::NAN.to_bits() ^ 0x002A_AAAA; |
| let masked_nan2 = f32::NAN.to_bits() ^ 0x0055_5555; |
| assert!(f32::from_bits(masked_nan1).is_nan()); |
| assert!(f32::from_bits(masked_nan2).is_nan()); |
| |
| assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1); |
| assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2); |
| } |
| |
| #[test] |
| #[should_panic] |
| fn test_clamp_min_greater_than_max() { |
| let _ = 1.0f32.clamp(3.0, 1.0); |
| } |
| |
| #[test] |
| #[should_panic] |
| fn test_clamp_min_is_nan() { |
| let _ = 1.0f32.clamp(f32::NAN, 1.0); |
| } |
| |
| #[test] |
| #[should_panic] |
| fn test_clamp_max_is_nan() { |
| let _ = 1.0f32.clamp(3.0, f32::NAN); |
| } |
| |
| #[test] |
| fn test_total_cmp() { |
| use core::cmp::Ordering; |
| |
| fn quiet_bit_mask() -> u32 { |
| 1 << (f32::MANTISSA_DIGITS - 2) |
| } |
| |
| fn min_subnorm() -> f32 { |
| f32::MIN_POSITIVE / f32::powf(2.0, f32::MANTISSA_DIGITS as f32 - 1.0) |
| } |
| |
| fn max_subnorm() -> f32 { |
| f32::MIN_POSITIVE - min_subnorm() |
| } |
| |
| fn q_nan() -> f32 { |
| f32::from_bits(f32::NAN.to_bits() | quiet_bit_mask()) |
| } |
| |
| fn s_nan() -> f32 { |
| f32::from_bits((f32::NAN.to_bits() & !quiet_bit_mask()) + 42) |
| } |
| |
| assert_eq!(Ordering::Equal, (-q_nan()).total_cmp(&-q_nan())); |
| assert_eq!(Ordering::Equal, (-s_nan()).total_cmp(&-s_nan())); |
| assert_eq!(Ordering::Equal, (-f32::INFINITY).total_cmp(&-f32::INFINITY)); |
| assert_eq!(Ordering::Equal, (-f32::MAX).total_cmp(&-f32::MAX)); |
| assert_eq!(Ordering::Equal, (-2.5_f32).total_cmp(&-2.5)); |
| assert_eq!(Ordering::Equal, (-1.0_f32).total_cmp(&-1.0)); |
| assert_eq!(Ordering::Equal, (-1.5_f32).total_cmp(&-1.5)); |
| assert_eq!(Ordering::Equal, (-0.5_f32).total_cmp(&-0.5)); |
| assert_eq!(Ordering::Equal, (-f32::MIN_POSITIVE).total_cmp(&-f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Equal, (-max_subnorm()).total_cmp(&-max_subnorm())); |
| assert_eq!(Ordering::Equal, (-min_subnorm()).total_cmp(&-min_subnorm())); |
| assert_eq!(Ordering::Equal, (-0.0_f32).total_cmp(&-0.0)); |
| assert_eq!(Ordering::Equal, 0.0_f32.total_cmp(&0.0)); |
| assert_eq!(Ordering::Equal, min_subnorm().total_cmp(&min_subnorm())); |
| assert_eq!(Ordering::Equal, max_subnorm().total_cmp(&max_subnorm())); |
| assert_eq!(Ordering::Equal, f32::MIN_POSITIVE.total_cmp(&f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Equal, 0.5_f32.total_cmp(&0.5)); |
| assert_eq!(Ordering::Equal, 1.0_f32.total_cmp(&1.0)); |
| assert_eq!(Ordering::Equal, 1.5_f32.total_cmp(&1.5)); |
| assert_eq!(Ordering::Equal, 2.5_f32.total_cmp(&2.5)); |
| assert_eq!(Ordering::Equal, f32::MAX.total_cmp(&f32::MAX)); |
| assert_eq!(Ordering::Equal, f32::INFINITY.total_cmp(&f32::INFINITY)); |
| assert_eq!(Ordering::Equal, s_nan().total_cmp(&s_nan())); |
| assert_eq!(Ordering::Equal, q_nan().total_cmp(&q_nan())); |
| |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan())); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY)); |
| assert_eq!(Ordering::Less, (-f32::INFINITY).total_cmp(&-f32::MAX)); |
| assert_eq!(Ordering::Less, (-f32::MAX).total_cmp(&-2.5)); |
| assert_eq!(Ordering::Less, (-2.5_f32).total_cmp(&-1.5)); |
| assert_eq!(Ordering::Less, (-1.5_f32).total_cmp(&-1.0)); |
| assert_eq!(Ordering::Less, (-1.0_f32).total_cmp(&-0.5)); |
| assert_eq!(Ordering::Less, (-0.5_f32).total_cmp(&-f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Less, (-f32::MIN_POSITIVE).total_cmp(&-max_subnorm())); |
| assert_eq!(Ordering::Less, (-max_subnorm()).total_cmp(&-min_subnorm())); |
| assert_eq!(Ordering::Less, (-min_subnorm()).total_cmp(&-0.0)); |
| assert_eq!(Ordering::Less, (-0.0_f32).total_cmp(&0.0)); |
| assert_eq!(Ordering::Less, 0.0_f32.total_cmp(&min_subnorm())); |
| assert_eq!(Ordering::Less, min_subnorm().total_cmp(&max_subnorm())); |
| assert_eq!(Ordering::Less, max_subnorm().total_cmp(&f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Less, f32::MIN_POSITIVE.total_cmp(&0.5)); |
| assert_eq!(Ordering::Less, 0.5_f32.total_cmp(&1.0)); |
| assert_eq!(Ordering::Less, 1.0_f32.total_cmp(&1.5)); |
| assert_eq!(Ordering::Less, 1.5_f32.total_cmp(&2.5)); |
| assert_eq!(Ordering::Less, 2.5_f32.total_cmp(&f32::MAX)); |
| assert_eq!(Ordering::Less, f32::MAX.total_cmp(&f32::INFINITY)); |
| assert_eq!(Ordering::Less, f32::INFINITY.total_cmp(&s_nan())); |
| assert_eq!(Ordering::Less, s_nan().total_cmp(&q_nan())); |
| |
| assert_eq!(Ordering::Greater, (-s_nan()).total_cmp(&-q_nan())); |
| assert_eq!(Ordering::Greater, (-f32::INFINITY).total_cmp(&-s_nan())); |
| assert_eq!(Ordering::Greater, (-f32::MAX).total_cmp(&-f32::INFINITY)); |
| assert_eq!(Ordering::Greater, (-2.5_f32).total_cmp(&-f32::MAX)); |
| assert_eq!(Ordering::Greater, (-1.5_f32).total_cmp(&-2.5)); |
| assert_eq!(Ordering::Greater, (-1.0_f32).total_cmp(&-1.5)); |
| assert_eq!(Ordering::Greater, (-0.5_f32).total_cmp(&-1.0)); |
| assert_eq!(Ordering::Greater, (-f32::MIN_POSITIVE).total_cmp(&-0.5)); |
| assert_eq!(Ordering::Greater, (-max_subnorm()).total_cmp(&-f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Greater, (-min_subnorm()).total_cmp(&-max_subnorm())); |
| assert_eq!(Ordering::Greater, (-0.0_f32).total_cmp(&-min_subnorm())); |
| assert_eq!(Ordering::Greater, 0.0_f32.total_cmp(&-0.0)); |
| assert_eq!(Ordering::Greater, min_subnorm().total_cmp(&0.0)); |
| assert_eq!(Ordering::Greater, max_subnorm().total_cmp(&min_subnorm())); |
| assert_eq!(Ordering::Greater, f32::MIN_POSITIVE.total_cmp(&max_subnorm())); |
| assert_eq!(Ordering::Greater, 0.5_f32.total_cmp(&f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Greater, 1.0_f32.total_cmp(&0.5)); |
| assert_eq!(Ordering::Greater, 1.5_f32.total_cmp(&1.0)); |
| assert_eq!(Ordering::Greater, 2.5_f32.total_cmp(&1.5)); |
| assert_eq!(Ordering::Greater, f32::MAX.total_cmp(&2.5)); |
| assert_eq!(Ordering::Greater, f32::INFINITY.total_cmp(&f32::MAX)); |
| assert_eq!(Ordering::Greater, s_nan().total_cmp(&f32::INFINITY)); |
| assert_eq!(Ordering::Greater, q_nan().total_cmp(&s_nan())); |
| |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-s_nan())); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::INFINITY)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MAX)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-2.5)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.5)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-1.0)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.5)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-max_subnorm())); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-min_subnorm())); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&-0.0)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.0)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&min_subnorm())); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&max_subnorm())); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&0.5)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.0)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&1.5)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&2.5)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::MAX)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&f32::INFINITY)); |
| assert_eq!(Ordering::Less, (-q_nan()).total_cmp(&s_nan())); |
| |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::INFINITY)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MAX)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-2.5)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.5)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-1.0)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.5)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-max_subnorm())); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-min_subnorm())); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&-0.0)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.0)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&min_subnorm())); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&max_subnorm())); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MIN_POSITIVE)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&0.5)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.0)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&1.5)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&2.5)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::MAX)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&f32::INFINITY)); |
| assert_eq!(Ordering::Less, (-s_nan()).total_cmp(&s_nan())); |
| } |
