// FIXME(f16_f128): only tested on platforms that have symbols and aren't buggy #![cfg(target_has_reliable_f128)] use std::f128::consts; use super::{assert_approx_eq, assert_biteq}; // Note these tolerances make sense around zero, but not for more extreme exponents. /// 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; /// For operations that are near exact, usually not involving math of different /// signs. const TOL_PRECISE: f128 = 1e-28; /// First pattern over the mantissa const NAN_MASK1: u128 = 0x0000aaaaaaaaaaaaaaaaaaaaaaaaaaaa; /// Second pattern over the mantissa const NAN_MASK2: u128 = 0x00005555555555555555555555555555; // 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_f128_math)] fn test_mul_add() { let nan: f128 = f128::NAN; let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_biteq!(12.3f128.mul_add(4.5, 6.7), 62.0500000000000000000000000000000037); assert_biteq!((-12.3f128).mul_add(-4.5, -6.7), 48.6500000000000000000000000000000049); assert_biteq!(0.0f128.mul_add(8.9, 1.2), 1.2); assert_biteq!(3.4f128.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!(8.9f128.mul_add(inf, 3.2), inf); assert_biteq!((-3.2f128).mul_add(2.4, neg_inf), neg_inf); } #[test] #[cfg(any(miri, target_has_reliable_f128_math))] fn test_recip() { let nan: f128 = f128::NAN; let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_biteq!(1.0f128.recip(), 1.0); assert_biteq!(2.0f128.recip(), 0.5); assert_biteq!((-0.4f128).recip(), -2.5); assert_biteq!(0.0f128.recip(), inf); assert_approx_eq!( f128::MAX.recip(), 8.40525785778023376565669454330438228902076605e-4933, 1e-4900 ); 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_f128_math)] fn test_powi() { let nan: f128 = f128::NAN; let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_biteq!(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_biteq!(8.3f128.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: f128 = consts::PI; let nan: f128 = f128::NAN; let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_biteq!(0.0f128.to_degrees(), 0.0); 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_biteq!(inf.to_degrees(), inf); assert_biteq!(neg_inf.to_degrees(), neg_inf); assert_biteq!(1_f128.to_degrees(), 57.2957795130823208767981548141051703); } #[test] fn test_to_radians() { let pi: f128 = consts::PI; let nan: f128 = f128::NAN; let inf: f128 = f128::INFINITY; let neg_inf: f128 = f128::NEG_INFINITY; assert_biteq!(0.0f128.to_radians(), 0.0); 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, TOL_PRECISE); 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!((1f128).to_bits(), 0x3fff0000000000000000000000000000); assert_eq!((12.5f128).to_bits(), 0x40029000000000000000000000000000); assert_eq!((1337f128).to_bits(), 0x40094e40000000000000000000000000); assert_eq!((-14.25f128).to_bits(), 0xc002c800000000000000000000000000); assert_biteq!(f128::from_bits(0x3fff0000000000000000000000000000), 1.0); assert_biteq!(f128::from_bits(0x40029000000000000000000000000000), 12.5); assert_biteq!(f128::from_bits(0x40094e40000000000000000000000000), 1337.0); assert_biteq!(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] fn test_algebraic() { let a: f128 = 123.0; let b: f128 = 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 = if cfg!(miri) { 1e-6 } else { 0.0 }; assert_approx_eq!(a.algebraic_add(b), a + b, eps); assert_approx_eq!(a.algebraic_sub(b), a - b, eps); assert_approx_eq!(a.algebraic_mul(b), a * b, eps); assert_approx_eq!(a.algebraic_div(b), a / b, eps); assert_approx_eq!(a.algebraic_rem(b), a % b, eps); } #[test] fn test_from() { assert_biteq!(f128::from(false), 0.0); assert_biteq!(f128::from(true), 1.0); assert_biteq!(f128::from(u8::MIN), 0.0); assert_biteq!(f128::from(42_u8), 42.0); assert_biteq!(f128::from(u8::MAX), 255.0); assert_biteq!(f128::from(i8::MIN), -128.0); assert_biteq!(f128::from(42_i8), 42.0); assert_biteq!(f128::from(i8::MAX), 127.0); assert_biteq!(f128::from(u16::MIN), 0.0); assert_biteq!(f128::from(42_u16), 42.0); assert_biteq!(f128::from(u16::MAX), 65535.0); assert_biteq!(f128::from(i16::MIN), -32768.0); assert_biteq!(f128::from(42_i16), 42.0); assert_biteq!(f128::from(i16::MAX), 32767.0); assert_biteq!(f128::from(u32::MIN), 0.0); assert_biteq!(f128::from(42_u32), 42.0); assert_biteq!(f128::from(u32::MAX), 4294967295.0); assert_biteq!(f128::from(i32::MIN), -2147483648.0); assert_biteq!(f128::from(42_i32), 42.0); assert_biteq!(f128::from(i32::MAX), 2147483647.0); // FIXME(f16_f128): Uncomment these tests once the From<{u64,i64}> impls are added. // assert_eq!(f128::from(u64::MIN), 0.0); // assert_eq!(f128::from(42_u64), 42.0); // assert_eq!(f128::from(u64::MAX), 18446744073709551615.0); // assert_eq!(f128::from(i64::MIN), -9223372036854775808.0); // assert_eq!(f128::from(42_i64), 42.0); // assert_eq!(f128::from(i64::MAX), 9223372036854775807.0); }