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Diffstat (limited to 'compiler/rustc_apfloat/tests/ieee.rs')
| -rw-r--r-- | compiler/rustc_apfloat/tests/ieee.rs | 3301 |
1 files changed, 3301 insertions, 0 deletions
diff --git a/compiler/rustc_apfloat/tests/ieee.rs b/compiler/rustc_apfloat/tests/ieee.rs new file mode 100644 index 000000000..f8fac0c23 --- /dev/null +++ b/compiler/rustc_apfloat/tests/ieee.rs @@ -0,0 +1,3301 @@ +// ignore-tidy-filelength + +use rustc_apfloat::ieee::{Double, Half, Quad, Single, X87DoubleExtended}; +use rustc_apfloat::unpack; +use rustc_apfloat::{Category, ExpInt, IEK_INF, IEK_NAN, IEK_ZERO}; +use rustc_apfloat::{Float, FloatConvert, ParseError, Round, Status}; + +trait SingleExt { + fn from_f32(input: f32) -> Self; + fn to_f32(self) -> f32; +} + +impl SingleExt for Single { + fn from_f32(input: f32) -> Self { + Self::from_bits(input.to_bits() as u128) + } + + fn to_f32(self) -> f32 { + f32::from_bits(self.to_bits() as u32) + } +} + +trait DoubleExt { + fn from_f64(input: f64) -> Self; + fn to_f64(self) -> f64; +} + +impl DoubleExt for Double { + fn from_f64(input: f64) -> Self { + Self::from_bits(input.to_bits() as u128) + } + + fn to_f64(self) -> f64 { + f64::from_bits(self.to_bits() as u64) + } +} + +#[test] +fn is_signaling() { + // We test qNaN, -qNaN, +sNaN, -sNaN with and without payloads. + let payload = 4; + assert!(!Single::qnan(None).is_signaling()); + assert!(!(-Single::qnan(None)).is_signaling()); + assert!(!Single::qnan(Some(payload)).is_signaling()); + assert!(!(-Single::qnan(Some(payload))).is_signaling()); + assert!(Single::snan(None).is_signaling()); + assert!((-Single::snan(None)).is_signaling()); + assert!(Single::snan(Some(payload)).is_signaling()); + assert!((-Single::snan(Some(payload))).is_signaling()); +} + +#[test] +fn next() { + // 1. Test Special Cases Values. + // + // Test all special values for nextUp and nextDown perscribed by IEEE-754R + // 2008. These are: + // 1. +inf + // 2. -inf + // 3. largest + // 4. -largest + // 5. smallest + // 6. -smallest + // 7. qNaN + // 8. sNaN + // 9. +0 + // 10. -0 + + let mut status; + + // nextUp(+inf) = +inf. + let test = unpack!(status=, Quad::INFINITY.next_up()); + let expected = Quad::INFINITY; + assert_eq!(status, Status::OK); + assert!(test.is_infinite()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(+inf) = -nextUp(-inf) = -(-largest) = largest + let test = unpack!(status=, Quad::INFINITY.next_down()); + let expected = Quad::largest(); + assert_eq!(status, Status::OK); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(-inf) = -largest + let test = unpack!(status=, (-Quad::INFINITY).next_up()); + let expected = -Quad::largest(); + assert_eq!(status, Status::OK); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(-inf) = -nextUp(+inf) = -(+inf) = -inf. + let test = unpack!(status=, (-Quad::INFINITY).next_down()); + let expected = -Quad::INFINITY; + assert_eq!(status, Status::OK); + assert!(test.is_infinite() && test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(largest) = +inf + let test = unpack!(status=, Quad::largest().next_up()); + let expected = Quad::INFINITY; + assert_eq!(status, Status::OK); + assert!(test.is_infinite() && !test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(largest) = -nextUp(-largest) + // = -(-largest + inc) + // = largest - inc. + let test = unpack!(status=, Quad::largest().next_down()); + let expected = "0x1.fffffffffffffffffffffffffffep+16383".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_infinite() && !test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(-largest) = -largest + inc. + let test = unpack!(status=, (-Quad::largest()).next_up()); + let expected = "-0x1.fffffffffffffffffffffffffffep+16383".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(-largest) = -nextUp(largest) = -(inf) = -inf. + let test = unpack!(status=, (-Quad::largest()).next_down()); + let expected = -Quad::INFINITY; + assert_eq!(status, Status::OK); + assert!(test.is_infinite() && test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(smallest) = smallest + inc. + let test = unpack!(status=, "0x0.0000000000000000000000000001p-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x0.0000000000000000000000000002p-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(smallest) = -nextUp(-smallest) = -(-0) = +0. + let test = unpack!(status=, "0x0.0000000000000000000000000001p-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = Quad::ZERO; + assert_eq!(status, Status::OK); + assert!(test.is_pos_zero()); + assert!(test.bitwise_eq(expected)); + + // nextUp(-smallest) = -0. + let test = unpack!(status=, "-0x0.0000000000000000000000000001p-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = -Quad::ZERO; + assert_eq!(status, Status::OK); + assert!(test.is_neg_zero()); + assert!(test.bitwise_eq(expected)); + + // nextDown(-smallest) = -nextUp(smallest) = -smallest - inc. + let test = unpack!(status=, "-0x0.0000000000000000000000000001p-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x0.0000000000000000000000000002p-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextUp(qNaN) = qNaN + let test = unpack!(status=, Quad::qnan(None).next_up()); + let expected = Quad::qnan(None); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(qNaN) = qNaN + let test = unpack!(status=, Quad::qnan(None).next_down()); + let expected = Quad::qnan(None); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextUp(sNaN) = qNaN + let test = unpack!(status=, Quad::snan(None).next_up()); + let expected = Quad::qnan(None); + assert_eq!(status, Status::INVALID_OP); + assert!(test.bitwise_eq(expected)); + + // nextDown(sNaN) = qNaN + let test = unpack!(status=, Quad::snan(None).next_down()); + let expected = Quad::qnan(None); + assert_eq!(status, Status::INVALID_OP); + assert!(test.bitwise_eq(expected)); + + // nextUp(+0) = +smallest + let test = unpack!(status=, Quad::ZERO.next_up()); + let expected = Quad::SMALLEST; + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(+0) = -nextUp(-0) = -smallest + let test = unpack!(status=, Quad::ZERO.next_down()); + let expected = -Quad::SMALLEST; + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextUp(-0) = +smallest + let test = unpack!(status=, (-Quad::ZERO).next_up()); + let expected = Quad::SMALLEST; + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(-0) = -nextUp(0) = -smallest + let test = unpack!(status=, (-Quad::ZERO).next_down()); + let expected = -Quad::SMALLEST; + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // 2. Binade Boundary Tests. + + // 2a. Test denormal <-> normal binade boundaries. + // * nextUp(+Largest Denormal) -> +Smallest Normal. + // * nextDown(-Largest Denormal) -> -Smallest Normal. + // * nextUp(-Smallest Normal) -> -Largest Denormal. + // * nextDown(+Smallest Normal) -> +Largest Denormal. + + // nextUp(+Largest Denormal) -> +Smallest Normal. + let test = unpack!(status=, "0x0.ffffffffffffffffffffffffffffp-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x1.0000000000000000000000000000p-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + // nextDown(-Largest Denormal) -> -Smallest Normal. + let test = unpack!(status=, "-0x0.ffffffffffffffffffffffffffffp-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x1.0000000000000000000000000000p-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + // nextUp(-Smallest Normal) -> -Largest Denormal. + let test = unpack!(status=, "-0x1.0000000000000000000000000000p-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "-0x0.ffffffffffffffffffffffffffffp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + // nextDown(+Smallest Normal) -> +Largest Denormal. + let test = unpack!(status=, "+0x1.0000000000000000000000000000p-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "+0x0.ffffffffffffffffffffffffffffp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + // 2b. Test normal <-> normal binade boundaries. + // * nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1. + // * nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1. + // * nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary. + // * nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary. + + // nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1. + let test = unpack!(status=, "-0x1p+1".parse::<Quad>().unwrap().next_up()); + let expected = "-0x1.ffffffffffffffffffffffffffffp+0".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1. + let test = unpack!(status=, "0x1p+1".parse::<Quad>().unwrap().next_down()); + let expected = "0x1.ffffffffffffffffffffffffffffp+0".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary. + let test = unpack!(status=, "0x1.ffffffffffffffffffffffffffffp+0" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x1p+1".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary. + let test = unpack!(status=, "-0x1.ffffffffffffffffffffffffffffp+0" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x1p+1".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // 2c. Test using next at binade boundaries with a direction away from the + // binade boundary. Away from denormal <-> normal boundaries. + // + // This is to make sure that even though we are at a binade boundary, since + // we are rounding away, we do not trigger the binade boundary code. Thus we + // test: + // * nextUp(-Largest Denormal) -> -Largest Denormal + inc. + // * nextDown(+Largest Denormal) -> +Largest Denormal - inc. + // * nextUp(+Smallest Normal) -> +Smallest Normal + inc. + // * nextDown(-Smallest Normal) -> -Smallest Normal - inc. + + // nextUp(-Largest Denormal) -> -Largest Denormal + inc. + let test = unpack!(status=, "-0x0.ffffffffffffffffffffffffffffp-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "-0x0.fffffffffffffffffffffffffffep-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(+Largest Denormal) -> +Largest Denormal - inc. + let test = unpack!(status=, "0x0.ffffffffffffffffffffffffffffp-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "0x0.fffffffffffffffffffffffffffep-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(+Smallest Normal) -> +Smallest Normal + inc. + let test = unpack!(status=, "0x1.0000000000000000000000000000p-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x1.0000000000000000000000000001p-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(-Smallest Normal) -> -Smallest Normal - inc. + let test = unpack!(status=, "-0x1.0000000000000000000000000000p-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x1.0000000000000000000000000001p-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // 2d. Test values which cause our exponent to go to min exponent. This + // is to ensure that guards in the code to check for min exponent + // trigger properly. + // * nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382 + // * nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) -> + // -0x1p-16381 + // * nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16382 + // * nextDown(0x1p-16382) -> 0x1.ffffffffffffffffffffffffffffp-16382 + + // nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382 + let test = unpack!(status=, "-0x1p-16381".parse::<Quad>().unwrap().next_up()); + let expected = "-0x1.ffffffffffffffffffffffffffffp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) -> + // -0x1p-16381 + let test = unpack!(status=, "-0x1.ffffffffffffffffffffffffffffp-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x1p-16381".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16381 + let test = unpack!(status=, "0x1.ffffffffffffffffffffffffffffp-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x1p-16381".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // nextDown(0x1p-16381) -> 0x1.ffffffffffffffffffffffffffffp-16382 + let test = unpack!(status=, "0x1p-16381".parse::<Quad>().unwrap().next_down()); + let expected = "0x1.ffffffffffffffffffffffffffffp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.bitwise_eq(expected)); + + // 3. Now we test both denormal/normal computation which will not cause us + // to go across binade boundaries. Specifically we test: + // * nextUp(+Denormal) -> +Denormal. + // * nextDown(+Denormal) -> +Denormal. + // * nextUp(-Denormal) -> -Denormal. + // * nextDown(-Denormal) -> -Denormal. + // * nextUp(+Normal) -> +Normal. + // * nextDown(+Normal) -> +Normal. + // * nextUp(-Normal) -> -Normal. + // * nextDown(-Normal) -> -Normal. + + // nextUp(+Denormal) -> +Denormal. + let test = unpack!(status=, "0x0.ffffffffffffffffffffffff000cp-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x0.ffffffffffffffffffffffff000dp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(+Denormal) -> +Denormal. + let test = unpack!(status=, "0x0.ffffffffffffffffffffffff000cp-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "0x0.ffffffffffffffffffffffff000bp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(-Denormal) -> -Denormal. + let test = unpack!(status=, "-0x0.ffffffffffffffffffffffff000cp-16382" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "-0x0.ffffffffffffffffffffffff000bp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(-Denormal) -> -Denormal + let test = unpack!(status=, "-0x0.ffffffffffffffffffffffff000cp-16382" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x0.ffffffffffffffffffffffff000dp-16382".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(test.is_denormal()); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(+Normal) -> +Normal. + let test = unpack!(status=, "0x1.ffffffffffffffffffffffff000cp-16000" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "0x1.ffffffffffffffffffffffff000dp-16000".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(+Normal) -> +Normal. + let test = unpack!(status=, "0x1.ffffffffffffffffffffffff000cp-16000" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "0x1.ffffffffffffffffffffffff000bp-16000".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(!test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextUp(-Normal) -> -Normal. + let test = unpack!(status=, "-0x1.ffffffffffffffffffffffff000cp-16000" + .parse::<Quad>() + .unwrap() + .next_up()); + let expected = "-0x1.ffffffffffffffffffffffff000bp-16000".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); + + // nextDown(-Normal) -> -Normal. + let test = unpack!(status=, "-0x1.ffffffffffffffffffffffff000cp-16000" + .parse::<Quad>() + .unwrap() + .next_down()); + let expected = "-0x1.ffffffffffffffffffffffff000dp-16000".parse::<Quad>().unwrap(); + assert_eq!(status, Status::OK); + assert!(!test.is_denormal()); + assert!(test.is_negative()); + assert!(test.bitwise_eq(expected)); +} + +#[test] +fn fma() { + { + let mut f1 = Single::from_f32(14.5); + let f2 = Single::from_f32(-14.5); + let f3 = Single::from_f32(225.0); + f1 = f1.mul_add(f2, f3).value; + assert_eq!(14.75, f1.to_f32()); + } + + { + let val2 = Single::from_f32(2.0); + let mut f1 = Single::from_f32(1.17549435e-38); + let mut f2 = Single::from_f32(1.17549435e-38); + f1 /= val2; + f2 /= val2; + let f3 = Single::from_f32(12.0); + f1 = f1.mul_add(f2, f3).value; + assert_eq!(12.0, f1.to_f32()); + } + + // Test for correct zero sign when answer is exactly zero. + // fma(1.0, -1.0, 1.0) -> +ve 0. + { + let mut f1 = Double::from_f64(1.0); + let f2 = Double::from_f64(-1.0); + let f3 = Double::from_f64(1.0); + f1 = f1.mul_add(f2, f3).value; + assert!(!f1.is_negative() && f1.is_zero()); + } + + // Test for correct zero sign when answer is exactly zero and rounding towards + // negative. + // fma(1.0, -1.0, 1.0) -> +ve 0. + { + let mut f1 = Double::from_f64(1.0); + let f2 = Double::from_f64(-1.0); + let f3 = Double::from_f64(1.0); + f1 = f1.mul_add_r(f2, f3, Round::TowardNegative).value; + assert!(f1.is_negative() && f1.is_zero()); + } + + // Test for correct (in this case -ve) sign when adding like signed zeros. + // Test fma(0.0, -0.0, -0.0) -> -ve 0. + { + let mut f1 = Double::from_f64(0.0); + let f2 = Double::from_f64(-0.0); + let f3 = Double::from_f64(-0.0); + f1 = f1.mul_add(f2, f3).value; + assert!(f1.is_negative() && f1.is_zero()); + } + + // Test -ve sign preservation when small negative results underflow. + { + let mut f1 = "-0x1p-1074".parse::<Double>().unwrap(); + let f2 = "+0x1p-1074".parse::<Double>().unwrap(); + let f3 = Double::from_f64(0.0); + f1 = f1.mul_add(f2, f3).value; + assert!(f1.is_negative() && f1.is_zero()); + } + + // Test x87 extended precision case from https://llvm.org/PR20728. + { + let mut m1 = X87DoubleExtended::from_u128(1).value; + let m2 = X87DoubleExtended::from_u128(1).value; + let a = X87DoubleExtended::from_u128(3).value; + + let mut loses_info = false; + m1 = m1.mul_add(m2, a).value; + let r: Single = m1.convert(&mut loses_info).value; + assert!(!loses_info); + assert_eq!(4.0, r.to_f32()); + } +} + +#[test] +fn issue_69532() { + let f = Double::from_bits(0x7FF0_0000_0000_0001u64 as u128); + let mut loses_info = false; + let sta = f.convert(&mut loses_info); + let r: Single = sta.value; + assert!(loses_info); + assert!(r.is_nan()); + assert_eq!(sta.status, Status::INVALID_OP); +} + +#[test] +fn min_num() { + let f1 = Double::from_f64(1.0); + let f2 = Double::from_f64(2.0); + let nan = Double::NAN; + + assert_eq!(1.0, f1.min(f2).to_f64()); + assert_eq!(1.0, f2.min(f1).to_f64()); + assert_eq!(1.0, f1.min(nan).to_f64()); + assert_eq!(1.0, nan.min(f1).to_f64()); +} + +#[test] +fn max_num() { + let f1 = Double::from_f64(1.0); + let f2 = Double::from_f64(2.0); + let nan = Double::NAN; + + assert_eq!(2.0, f1.max(f2).to_f64()); + assert_eq!(2.0, f2.max(f1).to_f64()); + assert_eq!(1.0, f1.max(nan).to_f64()); + assert_eq!(1.0, nan.max(f1).to_f64()); +} + +#[test] +fn denormal() { + // Test single precision + { + assert!(!Single::from_f32(0.0).is_denormal()); + + let mut t = "1.17549435082228750797e-38".parse::<Single>().unwrap(); + assert!(!t.is_denormal()); + + let val2 = Single::from_f32(2.0e0); + t /= val2; + assert!(t.is_denormal()); + } + + // Test double precision + { + assert!(!Double::from_f64(0.0).is_denormal()); + + let mut t = "2.22507385850720138309e-308".parse::<Double>().unwrap(); + assert!(!t.is_denormal()); + + let val2 = Double::from_f64(2.0e0); + t /= val2; + assert!(t.is_denormal()); + } + + // Test Intel double-ext + { + assert!(!X87DoubleExtended::from_u128(0).value.is_denormal()); + + let mut t = "3.36210314311209350626e-4932".parse::<X87DoubleExtended>().unwrap(); + assert!(!t.is_denormal()); + + t /= X87DoubleExtended::from_u128(2).value; + assert!(t.is_denormal()); + } + + // Test quadruple precision + { + assert!(!Quad::from_u128(0).value.is_denormal()); + + let mut t = "3.36210314311209350626267781732175260e-4932".parse::<Quad>().unwrap(); + assert!(!t.is_denormal()); + + t /= Quad::from_u128(2).value; + assert!(t.is_denormal()); + } +} + +#[test] +fn decimal_strings_without_null_terminators() { + // Make sure that we can parse strings without null terminators. + // rdar://14323230. + let val = "0.00"[..3].parse::<Double>().unwrap(); + assert_eq!(val.to_f64(), 0.0); + let val = "0.01"[..3].parse::<Double>().unwrap(); + assert_eq!(val.to_f64(), 0.0); + let val = "0.09"[..3].parse::<Double>().unwrap(); + assert_eq!(val.to_f64(), 0.0); + let val = "0.095"[..4].parse::<Double>().unwrap(); + assert_eq!(val.to_f64(), 0.09); + let val = "0.00e+3"[..7].parse::<Double>().unwrap(); + assert_eq!(val.to_f64(), 0.00); + let val = "0e+3"[..4].parse::<Double>().unwrap(); + assert_eq!(val.to_f64(), 0.00); +} + +#[test] +fn from_zero_decimal_string() { + assert_eq!(0.0, "0".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, ".0".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+.0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-.0".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.0".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.0".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "00000.".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+00000.".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-00000.".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, ".00000".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+.00000".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-.00000".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0000.00000".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0000.00000".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0000.00000".parse::<Double>().unwrap().to_f64()); +} + +#[test] +fn from_zero_decimal_single_exponent_string() { + assert_eq!(0.0, "0e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0e1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0e+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0e-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.e1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.e+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.e-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, ".0e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+.0e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-.0e1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, ".0e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+.0e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-.0e+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, ".0e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+.0e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-.0e-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.0e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.0e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.0e1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.0e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.0e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.0e+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0.0e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0.0e-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0.0e-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "000.0000e1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+000.0000e+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-000.0000e+1".parse::<Double>().unwrap().to_f64()); +} + +#[test] +fn from_zero_decimal_large_exponent_string() { + assert_eq!(0.0, "0e1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0e1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0e1234".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0e+1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0e+1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0e+1234".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0e-1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0e-1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0e-1234".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "000.0000e1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "000.0000e-1234".parse::<Double>().unwrap().to_f64()); +} + +#[test] +fn from_zero_hexadecimal_string() { + assert_eq!(0.0, "0x0p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0.p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0.p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0.p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0.p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0.p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0.p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0.p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0.p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0.p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x.0p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x.0p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x.0p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x.0p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x.0p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x.0p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x.0p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x.0p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x.0p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0.0p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0.0p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0.0p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0.0p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0.0p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0.0p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x0.0p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "+0x0.0p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0.0p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.0, "0x00000.p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x0000.00000p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x.00000p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x0.p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x0p1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.0, "-0x0p1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x00000.p1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x0000.00000p1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x.00000p1234".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.0, "0x0.p1234".parse::<Double>().unwrap().to_f64()); +} + +#[test] +fn from_decimal_string() { + assert_eq!(1.0, "1".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0, "2.".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.5, ".5".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.0, "1.0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-2.0, "-2".parse::<Double>().unwrap().to_f64()); + assert_eq!(-4.0, "-4.".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.5, "-.5".parse::<Double>().unwrap().to_f64()); + assert_eq!(-1.5, "-1.5".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.25e12, "1.25e12".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.25e+12, "1.25e+12".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.25e-12, "1.25e-12".parse::<Double>().unwrap().to_f64()); + assert_eq!(1024.0, "1024.".parse::<Double>().unwrap().to_f64()); + assert_eq!(1024.05, "1024.05000".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.05, ".05000".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0, "2.".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0e2, "2.e2".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0e+2, "2.e+2".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0e-2, "2.e-2".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.05e2, "002.05000e2".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.05e+2, "002.05000e+2".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.05e-2, "002.05000e-2".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.05e12, "002.05000e12".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.05e+12, "002.05000e+12".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.05e-12, "002.05000e-12".parse::<Double>().unwrap().to_f64()); + + // These are "carefully selected" to overflow the fast log-base + // calculations in the implementation. + assert!("99e99999".parse::<Double>().unwrap().is_infinite()); + assert!("-99e99999".parse::<Double>().unwrap().is_infinite()); + assert!("1e-99999".parse::<Double>().unwrap().is_pos_zero()); + assert!("-1e-99999".parse::<Double>().unwrap().is_neg_zero()); + + assert_eq!(2.71828, "2.71828".parse::<Double>().unwrap().to_f64()); +} + +#[test] +fn from_hexadecimal_string() { + assert_eq!(1.0, "0x1p0".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.0, "+0x1p0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-1.0, "-0x1p0".parse::<Double>().unwrap().to_f64()); + + assert_eq!(1.0, "0x1p+0".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.0, "+0x1p+0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-1.0, "-0x1p+0".parse::<Double>().unwrap().to_f64()); + + assert_eq!(1.0, "0x1p-0".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.0, "+0x1p-0".parse::<Double>().unwrap().to_f64()); + assert_eq!(-1.0, "-0x1p-0".parse::<Double>().unwrap().to_f64()); + + assert_eq!(2.0, "0x1p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0, "+0x1p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-2.0, "-0x1p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(2.0, "0x1p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(2.0, "+0x1p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-2.0, "-0x1p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.5, "0x1p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.5, "+0x1p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.5, "-0x1p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(3.0, "0x1.8p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(3.0, "+0x1.8p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-3.0, "-0x1.8p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(3.0, "0x1.8p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(3.0, "+0x1.8p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-3.0, "-0x1.8p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.75, "0x1.8p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.75, "+0x1.8p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.75, "-0x1.8p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(8192.0, "0x1000.000p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(8192.0, "+0x1000.000p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-8192.0, "-0x1000.000p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(8192.0, "0x1000.000p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(8192.0, "+0x1000.000p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-8192.0, "-0x1000.000p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(2048.0, "0x1000.000p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(2048.0, "+0x1000.000p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-2048.0, "-0x1000.000p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(8192.0, "0x1000p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(8192.0, "+0x1000p1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-8192.0, "-0x1000p1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(8192.0, "0x1000p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(8192.0, "+0x1000p+1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-8192.0, "-0x1000p+1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(2048.0, "0x1000p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(2048.0, "+0x1000p-1".parse::<Double>().unwrap().to_f64()); + assert_eq!(-2048.0, "-0x1000p-1".parse::<Double>().unwrap().to_f64()); + + assert_eq!(16384.0, "0x10p10".parse::<Double>().unwrap().to_f64()); + assert_eq!(16384.0, "+0x10p10".parse::<Double>().unwrap().to_f64()); + assert_eq!(-16384.0, "-0x10p10".parse::<Double>().unwrap().to_f64()); + + assert_eq!(16384.0, "0x10p+10".parse::<Double>().unwrap().to_f64()); + assert_eq!(16384.0, "+0x10p+10".parse::<Double>().unwrap().to_f64()); + assert_eq!(-16384.0, "-0x10p+10".parse::<Double>().unwrap().to_f64()); + + assert_eq!(0.015625, "0x10p-10".parse::<Double>().unwrap().to_f64()); + assert_eq!(0.015625, "+0x10p-10".parse::<Double>().unwrap().to_f64()); + assert_eq!(-0.015625, "-0x10p-10".parse::<Double>().unwrap().to_f64()); + + assert_eq!(1.0625, "0x1.1p0".parse::<Double>().unwrap().to_f64()); + assert_eq!(1.0, "0x1p0".parse::<Double>().unwrap().to_f64()); + + assert_eq!( + "0x1p-150".parse::<Double>().unwrap().to_f64(), + "+0x800000000000000001.p-221".parse::<Double>().unwrap().to_f64() + ); + assert_eq!( + 2251799813685248.5, + "0x80000000000004000000.010p-28".parse::<Double>().unwrap().to_f64() + ); +} + +#[test] +fn to_string() { + let to_string = |d: f64, precision: usize, width: usize| { + let x = Double::from_f64(d); + if precision == 0 { + format!("{:1$}", x, width) + } else { + format!("{:2$.1$}", x, precision, width) + } + }; + assert_eq!("10", to_string(10.0, 6, 3)); + assert_eq!("1.0E+1", to_string(10.0, 6, 0)); + assert_eq!("10100", to_string(1.01E+4, 5, 2)); + assert_eq!("1.01E+4", to_string(1.01E+4, 4, 2)); + assert_eq!("1.01E+4", to_string(1.01E+4, 5, 1)); + assert_eq!("0.0101", to_string(1.01E-2, 5, 2)); + assert_eq!("0.0101", to_string(1.01E-2, 4, 2)); + assert_eq!("1.01E-2", to_string(1.01E-2, 5, 1)); + assert_eq!("0.78539816339744828", to_string(0.78539816339744830961, 0, 3)); + assert_eq!("4.9406564584124654E-324", to_string(4.9406564584124654e-324, 0, 3)); + assert_eq!("873.18340000000001", to_string(873.1834, 0, 1)); + assert_eq!("8.7318340000000001E+2", to_string(873.1834, 0, 0)); + assert_eq!("1.7976931348623157E+308", to_string(1.7976931348623157E+308, 0, 0)); + + let to_string = |d: f64, precision: usize, width: usize| { + let x = Double::from_f64(d); + if precision == 0 { + format!("{:#1$}", x, width) + } else { + format!("{:#2$.1$}", x, precision, width) + } + }; + assert_eq!("10", to_string(10.0, 6, 3)); + assert_eq!("1.000000e+01", to_string(10.0, 6, 0)); + assert_eq!("10100", to_string(1.01E+4, 5, 2)); + assert_eq!("1.0100e+04", to_string(1.01E+4, 4, 2)); + assert_eq!("1.01000e+04", to_string(1.01E+4, 5, 1)); + assert_eq!("0.0101", to_string(1.01E-2, 5, 2)); + assert_eq!("0.0101", to_string(1.01E-2, 4, 2)); + assert_eq!("1.01000e-02", to_string(1.01E-2, 5, 1)); + assert_eq!("0.78539816339744828", to_string(0.78539816339744830961, 0, 3)); + assert_eq!("4.94065645841246540e-324", to_string(4.9406564584124654e-324, 0, 3)); + assert_eq!("873.18340000000001", to_string(873.1834, 0, 1)); + assert_eq!("8.73183400000000010e+02", to_string(873.1834, 0, 0)); + assert_eq!("1.79769313486231570e+308", to_string(1.7976931348623157E+308, 0, 0)); +} + +#[test] +fn to_integer() { + let mut is_exact = false; + + assert_eq!( + Status::OK.and(10), + "10".parse::<Double>().unwrap().to_u128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(is_exact); + + assert_eq!( + Status::INVALID_OP.and(0), + "-10".parse::<Double>().unwrap().to_u128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(!is_exact); + + assert_eq!( + Status::INVALID_OP.and(31), + "32".parse::<Double>().unwrap().to_u128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(!is_exact); + + assert_eq!( + Status::INEXACT.and(7), + "7.9".parse::<Double>().unwrap().to_u128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(!is_exact); + + assert_eq!( + Status::OK.and(-10), + "-10".parse::<Double>().unwrap().to_i128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(is_exact); + + assert_eq!( + Status::INVALID_OP.and(-16), + "-17".parse::<Double>().unwrap().to_i128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(!is_exact); + + assert_eq!( + Status::INVALID_OP.and(15), + "16".parse::<Double>().unwrap().to_i128_r(5, Round::TowardZero, &mut is_exact,) + ); + assert!(!is_exact); +} + +#[test] +fn nan() { + fn nanbits<T: Float>(signaling: bool, negative: bool, fill: u128) -> u128 { + let x = if signaling { T::snan(Some(fill)) } else { T::qnan(Some(fill)) }; + if negative { (-x).to_bits() } else { x.to_bits() } + } + + assert_eq!(0x7fc00000, nanbits::<Single>(false, false, 0)); + assert_eq!(0xffc00000, nanbits::<Single>(false, true, 0)); + assert_eq!(0x7fc0ae72, nanbits::<Single>(false, false, 0xae72)); + assert_eq!(0x7fffae72, nanbits::<Single>(false, false, 0xffffae72)); + assert_eq!(0x7fa00000, nanbits::<Single>(true, false, 0)); + assert_eq!(0xffa00000, nanbits::<Single>(true, true, 0)); + assert_eq!(0x7f80ae72, nanbits::<Single>(true, false, 0xae72)); + assert_eq!(0x7fbfae72, nanbits::<Single>(true, false, 0xffffae72)); + + assert_eq!(0x7ff8000000000000, nanbits::<Double>(false, false, 0)); + assert_eq!(0xfff8000000000000, nanbits::<Double>(false, true, 0)); + assert_eq!(0x7ff800000000ae72, nanbits::<Double>(false, false, 0xae72)); + assert_eq!(0x7fffffffffffae72, nanbits::<Double>(false, false, 0xffffffffffffae72)); + assert_eq!(0x7ff4000000000000, nanbits::<Double>(true, false, 0)); + assert_eq!(0xfff4000000000000, nanbits::<Double>(true, true, 0)); + assert_eq!(0x7ff000000000ae72, nanbits::<Double>(true, false, 0xae72)); + assert_eq!(0x7ff7ffffffffae72, nanbits::<Double>(true, false, 0xffffffffffffae72)); +} + +#[test] +fn string_decimal_death() { + assert_eq!("".parse::<Double>(), Err(ParseError("Invalid string length"))); + assert_eq!("+".parse::<Double>(), Err(ParseError("String has no digits"))); + assert_eq!("-".parse::<Double>(), Err(ParseError("String has no digits"))); + + assert_eq!("\0".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("1\0".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("1\02".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("1\02e1".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("1e\0".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + assert_eq!("1e1\0".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + assert_eq!("1e1\02".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + + assert_eq!("1.0f".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + + assert_eq!("..".parse::<Double>(), Err(ParseError("String contains multiple dots"))); + assert_eq!("..0".parse::<Double>(), Err(ParseError("String contains multiple dots"))); + assert_eq!("1.0.0".parse::<Double>(), Err(ParseError("String contains multiple dots"))); +} + +#[test] +fn string_decimal_significand_death() { + assert_eq!(".".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+.".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-.".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("e".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+e".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-e".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("e1".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+e1".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-e1".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!(".e1".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+.e1".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-.e1".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!(".e".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+.e".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-.e".parse::<Double>(), Err(ParseError("Significand has no digits"))); +} + +#[test] +fn string_decimal_exponent_death() { + assert_eq!("1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("1.e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+1.e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-1.e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!(".1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+.1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-.1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("1.1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+1.1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-1.1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("1e+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("1e-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!(".1e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!(".1e+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!(".1e-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("1.0e".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("1.0e+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("1.0e-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); +} + +#[test] +fn string_hexadecimal_death() { + assert_eq!("0x".parse::<Double>(), Err(ParseError("Invalid string"))); + assert_eq!("+0x".parse::<Double>(), Err(ParseError("Invalid string"))); + assert_eq!("-0x".parse::<Double>(), Err(ParseError("Invalid string"))); + + assert_eq!("0x0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("+0x0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("-0x0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + + assert_eq!("0x0.".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("+0x0.".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("-0x0.".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + + assert_eq!("0x.0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("+0x.0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("-0x.0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + + assert_eq!("0x0.0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("+0x0.0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + assert_eq!("-0x0.0".parse::<Double>(), Err(ParseError("Hex strings require an exponent"))); + + assert_eq!("0x\0".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("0x1\0".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("0x1\02".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("0x1\02p1".parse::<Double>(), Err(ParseError("Invalid character in significand"))); + assert_eq!("0x1p\0".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + assert_eq!("0x1p1\0".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + assert_eq!("0x1p1\02".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + + assert_eq!("0x1p0f".parse::<Double>(), Err(ParseError("Invalid character in exponent"))); + + assert_eq!("0x..p1".parse::<Double>(), Err(ParseError("String contains multiple dots"))); + assert_eq!("0x..0p1".parse::<Double>(), Err(ParseError("String contains multiple dots"))); + assert_eq!("0x1.0.0p1".parse::<Double>(), Err(ParseError("String contains multiple dots"))); +} + +#[test] +fn string_hexadecimal_significand_death() { + assert_eq!("0x.".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0x.".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0x.".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("0xp".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0xp".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0xp".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("0xp+".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0xp+".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0xp+".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("0xp-".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0xp-".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0xp-".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("0x.p".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0x.p".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0x.p".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("0x.p+".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0x.p+".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0x.p+".parse::<Double>(), Err(ParseError("Significand has no digits"))); + + assert_eq!("0x.p-".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("+0x.p-".parse::<Double>(), Err(ParseError("Significand has no digits"))); + assert_eq!("-0x.p-".parse::<Double>(), Err(ParseError("Significand has no digits"))); +} + +#[test] +fn string_hexadecimal_exponent_death() { + assert_eq!("0x1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1.p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1.p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1.p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1.p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1.p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1.p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1.p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1.p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1.p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x.1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x.1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x.1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x.1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x.1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x.1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x.1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x.1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x.1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1.1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1.1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1.1p".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1.1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1.1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1.1p+".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + + assert_eq!("0x1.1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("+0x1.1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); + assert_eq!("-0x1.1p-".parse::<Double>(), Err(ParseError("Exponent has no digits"))); +} + +#[test] +fn exact_inverse() { + // Trivial operation. + assert!(Double::from_f64(2.0).get_exact_inverse().unwrap().bitwise_eq(Double::from_f64(0.5))); + assert!(Single::from_f32(2.0).get_exact_inverse().unwrap().bitwise_eq(Single::from_f32(0.5))); + assert!( + "2.0" + .parse::<Quad>() + .unwrap() + .get_exact_inverse() + .unwrap() + .bitwise_eq("0.5".parse::<Quad>().unwrap()) + ); + assert!( + "2.0" + .parse::<X87DoubleExtended>() + .unwrap() + .get_exact_inverse() + .unwrap() + .bitwise_eq("0.5".parse::<X87DoubleExtended>().unwrap()) + ); + + // FLT_MIN + assert!( + Single::from_f32(1.17549435e-38) + .get_exact_inverse() + .unwrap() + .bitwise_eq(Single::from_f32(8.5070592e+37)) + ); + + // Large float, inverse is a denormal. + assert!(Single::from_f32(1.7014118e38).get_exact_inverse().is_none()); + // Zero + assert!(Double::from_f64(0.0).get_exact_inverse().is_none()); + // Denormalized float + assert!(Single::from_f32(1.40129846e-45).get_exact_inverse().is_none()); +} + +#[test] +fn round_to_integral() { + let t = Double::from_f64(-0.5); + assert_eq!(-0.0, t.round_to_integral(Round::TowardZero).value.to_f64()); + assert_eq!(-1.0, t.round_to_integral(Round::TowardNegative).value.to_f64()); + assert_eq!(-0.0, t.round_to_integral(Round::TowardPositive).value.to_f64()); + assert_eq!(-0.0, t.round_to_integral(Round::NearestTiesToEven).value.to_f64()); + + let s = Double::from_f64(3.14); + assert_eq!(3.0, s.round_to_integral(Round::TowardZero).value.to_f64()); + assert_eq!(3.0, s.round_to_integral(Round::TowardNegative).value.to_f64()); + assert_eq!(4.0, s.round_to_integral(Round::TowardPositive).value.to_f64()); + assert_eq!(3.0, s.round_to_integral(Round::NearestTiesToEven).value.to_f64()); + + let r = Double::largest(); + assert_eq!(r.to_f64(), r.round_to_integral(Round::TowardZero).value.to_f64()); + assert_eq!(r.to_f64(), r.round_to_integral(Round::TowardNegative).value.to_f64()); + assert_eq!(r.to_f64(), r.round_to_integral(Round::TowardPositive).value.to_f64()); + assert_eq!(r.to_f64(), r.round_to_integral(Round::NearestTiesToEven).value.to_f64()); + + let p = Double::ZERO.round_to_integral(Round::TowardZero).value; + assert_eq!(0.0, p.to_f64()); + let p = (-Double::ZERO).round_to_integral(Round::TowardZero).value; + assert_eq!(-0.0, p.to_f64()); + let p = Double::NAN.round_to_integral(Round::TowardZero).value; + assert!(p.to_f64().is_nan()); + let p = Double::INFINITY.round_to_integral(Round::TowardZero).value; + assert!(p.to_f64().is_infinite() && p.to_f64() > 0.0); + let p = (-Double::INFINITY).round_to_integral(Round::TowardZero).value; + assert!(p.to_f64().is_infinite() && p.to_f64() < 0.0); +} + +#[test] +fn is_integer() { + let t = Double::from_f64(-0.0); + assert!(t.is_integer()); + let t = Double::from_f64(3.14159); + assert!(!t.is_integer()); + let t = Double::NAN; + assert!(!t.is_integer()); + let t = Double::INFINITY; + assert!(!t.is_integer()); + let t = -Double::INFINITY; + assert!(!t.is_integer()); + let t = Double::largest(); + assert!(t.is_integer()); +} + +#[test] +fn largest() { + assert_eq!(3.402823466e+38, Single::largest().to_f32()); + assert_eq!(1.7976931348623158e+308, Double::largest().to_f64()); +} + +#[test] +fn smallest() { + let test = Single::SMALLEST; + let expected = "0x0.000002p-126".parse::<Single>().unwrap(); + assert!(!test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + let test = -Single::SMALLEST; + let expected = "-0x0.000002p-126".parse::<Single>().unwrap(); + assert!(test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + let test = Quad::SMALLEST; + let expected = "0x0.0000000000000000000000000001p-16382".parse::<Quad>().unwrap(); + assert!(!test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + let test = -Quad::SMALLEST; + let expected = "-0x0.0000000000000000000000000001p-16382".parse::<Quad>().unwrap(); + assert!(test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(test.is_denormal()); + assert!(test.bitwise_eq(expected)); +} + +#[test] +fn smallest_normalized() { + let test = Single::smallest_normalized(); + let expected = "0x1p-126".parse::<Single>().unwrap(); + assert!(!test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(!test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + let test = -Single::smallest_normalized(); + let expected = "-0x1p-126".parse::<Single>().unwrap(); + assert!(test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(!test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + let test = Quad::smallest_normalized(); + let expected = "0x1p-16382".parse::<Quad>().unwrap(); + assert!(!test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(!test.is_denormal()); + assert!(test.bitwise_eq(expected)); + + let test = -Quad::smallest_normalized(); + let expected = "-0x1p-16382".parse::<Quad>().unwrap(); + assert!(test.is_negative()); + assert!(test.is_finite_non_zero()); + assert!(!test.is_denormal()); + assert!(test.bitwise_eq(expected)); +} + +#[test] +fn zero() { + assert_eq!(0.0, Single::from_f32(0.0).to_f32()); + assert_eq!(-0.0, Single::from_f32(-0.0).to_f32()); + assert!(Single::from_f32(-0.0).is_negative()); + + assert_eq!(0.0, Double::from_f64(0.0).to_f64()); + assert_eq!(-0.0, Double::from_f64(-0.0).to_f64()); + assert!(Double::from_f64(-0.0).is_negative()); + + fn test<T: Float>(sign: bool, bits: u128) { + let test = if sign { -T::ZERO } else { T::ZERO }; + let pattern = if sign { "-0x0p+0" } else { "0x0p+0" }; + let expected = pattern.parse::<T>().unwrap(); + assert!(test.is_zero()); + assert_eq!(sign, test.is_negative()); + assert!(test.bitwise_eq(expected)); + assert_eq!(bits, test.to_bits()); + } + test::<Half>(false, 0); + test::<Half>(true, 0x8000); + test::<Single>(false, 0); + test::<Single>(true, 0x80000000); + test::<Double>(false, 0); + test::<Double>(true, 0x8000000000000000); + test::<Quad>(false, 0); + test::<Quad>(true, 0x8000000000000000_0000000000000000); + test::<X87DoubleExtended>(false, 0); + test::<X87DoubleExtended>(true, 0x8000_0000000000000000); +} + +#[test] +fn copy_sign() { + assert!( + Double::from_f64(-42.0) + .bitwise_eq(Double::from_f64(42.0).copy_sign(Double::from_f64(-1.0),),) + ); + assert!( + Double::from_f64(42.0) + .bitwise_eq(Double::from_f64(-42.0).copy_sign(Double::from_f64(1.0),),) + ); + assert!( + Double::from_f64(-42.0) + .bitwise_eq(Double::from_f64(-42.0).copy_sign(Double::from_f64(-1.0),),) + ); + assert!( + Double::from_f64(42.0) + .bitwise_eq(Double::from_f64(42.0).copy_sign(Double::from_f64(1.0),),) + ); +} + +#[test] +fn convert() { + let mut loses_info = false; + let test = "1.0".parse::<Double>().unwrap(); + let test: Single = test.convert(&mut loses_info).value; + assert_eq!(1.0, test.to_f32()); + assert!(!loses_info); + + let mut test = "0x1p-53".parse::<X87DoubleExtended>().unwrap(); + let one = "1.0".parse::<X87DoubleExtended>().unwrap(); + test += one; + let test: Double = test.convert(&mut loses_info).value; + assert_eq!(1.0, test.to_f64()); + assert!(loses_info); + + let mut test = "0x1p-53".parse::<Quad>().unwrap(); + let one = "1.0".parse::<Quad>().unwrap(); + test += one; + let test: Double = test.convert(&mut loses_info).value; + assert_eq!(1.0, test.to_f64()); + assert!(loses_info); + + let test = "0xf.fffffffp+28".parse::<X87DoubleExtended>().unwrap(); + let test: Double = test.convert(&mut loses_info).value; + assert_eq!(4294967295.0, test.to_f64()); + assert!(!loses_info); + + let test = Single::qnan(None); + let x87_qnan = X87DoubleExtended::qnan(None); + let test: X87DoubleExtended = test.convert(&mut loses_info).value; + assert!(test.bitwise_eq(x87_qnan)); + assert!(!loses_info); + + let test = Single::snan(None); + let sta = test.convert(&mut loses_info); + let test: X87DoubleExtended = sta.value; + assert!(test.is_nan()); + assert!(!test.is_signaling()); + assert!(!loses_info); + assert_eq!(sta.status, Status::INVALID_OP); + + let test = X87DoubleExtended::qnan(None); + let test: X87DoubleExtended = test.convert(&mut loses_info).value; + assert!(test.bitwise_eq(x87_qnan)); + assert!(!loses_info); + + let test = X87DoubleExtended::snan(None); + let sta = test.convert(&mut loses_info); + let test: X87DoubleExtended = sta.value; + assert!(test.is_nan()); + assert!(!test.is_signaling()); + assert!(!loses_info); + assert_eq!(sta.status, Status::INVALID_OP); +} + +#[test] +fn is_negative() { + let t = "0x1p+0".parse::<Single>().unwrap(); + assert!(!t.is_negative()); + let t = "-0x1p+0".parse::<Single>().unwrap(); + assert!(t.is_negative()); + + assert!(!Single::INFINITY.is_negative()); + assert!((-Single::INFINITY).is_negative()); + + assert!(!Single::ZERO.is_negative()); + assert!((-Single::ZERO).is_negative()); + + assert!(!Single::NAN.is_negative()); + assert!((-Single::NAN).is_negative()); + + assert!(!Single::snan(None).is_negative()); + assert!((-Single::snan(None)).is_negative()); +} + +#[test] +fn is_normal() { + let t = "0x1p+0".parse::<Single>().unwrap(); + assert!(t.is_normal()); + + assert!(!Single::INFINITY.is_normal()); + assert!(!Single::ZERO.is_normal()); + assert!(!Single::NAN.is_normal()); + assert!(!Single::snan(None).is_normal()); + assert!(!"0x1p-149".parse::<Single>().unwrap().is_normal()); +} + +#[test] +fn is_finite() { + let t = "0x1p+0".parse::<Single>().unwrap(); + assert!(t.is_finite()); + assert!(!Single::INFINITY.is_finite()); + assert!(Single::ZERO.is_finite()); + assert!(!Single::NAN.is_finite()); + assert!(!Single::snan(None).is_finite()); + assert!("0x1p-149".parse::<Single>().unwrap().is_finite()); +} + +#[test] +fn is_infinite() { + let t = "0x1p+0".parse::<Single>().unwrap(); + assert!(!t.is_infinite()); + assert!(Single::INFINITY.is_infinite()); + assert!(!Single::ZERO.is_infinite()); + assert!(!Single::NAN.is_infinite()); + assert!(!Single::snan(None).is_infinite()); + assert!(!"0x1p-149".parse::<Single>().unwrap().is_infinite()); +} + +#[test] +fn is_nan() { + let t = "0x1p+0".parse::<Single>().unwrap(); + assert!(!t.is_nan()); + assert!(!Single::INFINITY.is_nan()); + assert!(!Single::ZERO.is_nan()); + assert!(Single::NAN.is_nan()); + assert!(Single::snan(None).is_nan()); + assert!(!"0x1p-149".parse::<Single>().unwrap().is_nan()); +} + +#[test] +fn is_finite_non_zero() { + // Test positive/negative normal value. + assert!("0x1p+0".parse::<Single>().unwrap().is_finite_non_zero()); + assert!("-0x1p+0".parse::<Single>().unwrap().is_finite_non_zero()); + + // Test positive/negative denormal value. + assert!("0x1p-149".parse::<Single>().unwrap().is_finite_non_zero()); + assert!("-0x1p-149".parse::<Single>().unwrap().is_finite_non_zero()); + + // Test +/- Infinity. + assert!(!Single::INFINITY.is_finite_non_zero()); + assert!(!(-Single::INFINITY).is_finite_non_zero()); + + // Test +/- Zero. + assert!(!Single::ZERO.is_finite_non_zero()); + assert!(!(-Single::ZERO).is_finite_non_zero()); + + // Test +/- qNaN. +/- don't mean anything with qNaN but paranoia can't hurt in + // this instance. + assert!(!Single::NAN.is_finite_non_zero()); + assert!(!(-Single::NAN).is_finite_non_zero()); + + // Test +/- sNaN. +/- don't mean anything with sNaN but paranoia can't hurt in + // this instance. + assert!(!Single::snan(None).is_finite_non_zero()); + assert!(!(-Single::snan(None)).is_finite_non_zero()); +} + +#[test] +fn add() { + // Test Special Cases against each other and normal values. + + // FIXMES/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + let p_inf = Single::INFINITY; + let m_inf = -Single::INFINITY; + let p_zero = Single::ZERO; + let m_zero = -Single::ZERO; + let qnan = Single::NAN; + let p_normal_value = "0x1p+0".parse::<Single>().unwrap(); + let m_normal_value = "-0x1p+0".parse::<Single>().unwrap(); + let p_largest_value = Single::largest(); + let m_largest_value = -Single::largest(); + let p_smallest_value = Single::SMALLEST; + let m_smallest_value = -Single::SMALLEST; + let p_smallest_normalized = Single::smallest_normalized(); + let m_smallest_normalized = -Single::smallest_normalized(); + + let overflow_status = Status::OVERFLOW | Status::INEXACT; + + let special_cases = [ + (p_inf, p_inf, "inf", Status::OK, Category::Infinity), + (p_inf, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (p_inf, p_zero, "inf", Status::OK, Category::Infinity), + (p_inf, m_zero, "inf", Status::OK, Category::Infinity), + (p_inf, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_inf, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_inf, p_normal_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_normal_value, "inf", Status::OK, Category::Infinity), + (p_inf, p_largest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_largest_value, "inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_value, "inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_normalized, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_normalized, "inf", Status::OK, Category::Infinity), + (m_inf, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (m_inf, m_inf, "-inf", Status::OK, Category::Infinity), + (m_inf, p_zero, "-inf", Status::OK, Category::Infinity), + (m_inf, m_zero, "-inf", Status::OK, Category::Infinity), + (m_inf, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_inf, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_inf, p_normal_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_normal_value, "-inf", Status::OK, Category::Infinity), + (m_inf, p_largest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_largest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (p_zero, p_inf, "inf", Status::OK, Category::Infinity), + (p_zero, m_inf, "-inf", Status::OK, Category::Infinity), + (p_zero, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_zero, "0x0p+0", Status::OK, Category::Zero), + (p_zero, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_zero, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_zero, p_normal_value, "0x1p+0", Status::OK, Category::Normal), + (p_zero, m_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (p_zero, p_largest_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_zero, m_largest_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (p_zero, p_smallest_value, "0x1p-149", Status::OK, Category::Normal), + (p_zero, m_smallest_value, "-0x1p-149", Status::OK, Category::Normal), + (p_zero, p_smallest_normalized, "0x1p-126", Status::OK, Category::Normal), + (p_zero, m_smallest_normalized, "-0x1p-126", Status::OK, Category::Normal), + (m_zero, p_inf, "inf", Status::OK, Category::Infinity), + (m_zero, m_inf, "-inf", Status::OK, Category::Infinity), + (m_zero, p_zero, "0x0p+0", Status::OK, Category::Zero), + (m_zero, m_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_zero, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_zero, p_normal_value, "0x1p+0", Status::OK, Category::Normal), + (m_zero, m_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (m_zero, p_largest_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (m_zero, m_largest_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_zero, p_smallest_value, "0x1p-149", Status::OK, Category::Normal), + (m_zero, m_smallest_value, "-0x1p-149", Status::OK, Category::Normal), + (m_zero, p_smallest_normalized, "0x1p-126", Status::OK, Category::Normal), + (m_zero, m_smallest_normalized, "-0x1p-126", Status::OK, Category::Normal), + (qnan, p_inf, "nan", Status::OK, Category::NaN), + (qnan, m_inf, "nan", Status::OK, Category::NaN), + (qnan, p_zero, "nan", Status::OK, Category::NaN), + (qnan, m_zero, "nan", Status::OK, Category::NaN), + (qnan, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (qnan, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (qnan, p_normal_value, "nan", Status::OK, Category::NaN), + (qnan, m_normal_value, "nan", Status::OK, Category::NaN), + (qnan, p_largest_value, "nan", Status::OK, Category::NaN), + (qnan, m_largest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_normalized, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_normalized, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (snan, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, qnan, "nan", Status::INVALID_OP, Category::NaN), + (snan, snan, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_inf, "inf", Status::OK, Category::Infinity), + (p_normal_value, m_inf, "-inf", Status::OK, Category::Infinity), + (p_normal_value, p_zero, "0x1p+0", Status::OK, Category::Normal), + (p_normal_value, m_zero, "0x1p+0", Status::OK, Category::Normal), + (p_normal_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_normal_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_normal_value, "0x1p+1", Status::OK, Category::Normal), + (p_normal_value, m_normal_value, "0x0p+0", Status::OK, Category::Zero), + (p_normal_value, p_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_normal_value, m_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_normal_value, p_smallest_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_normal_value, m_smallest_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_normal_value, p_smallest_normalized, "0x1p+0", Status::INEXACT, Category::Normal), + (p_normal_value, m_smallest_normalized, "0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, p_inf, "inf", Status::OK, Category::Infinity), + (m_normal_value, m_inf, "-inf", Status::OK, Category::Infinity), + (m_normal_value, p_zero, "-0x1p+0", Status::OK, Category::Normal), + (m_normal_value, m_zero, "-0x1p+0", Status::OK, Category::Normal), + (m_normal_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_normal_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_normal_value, p_normal_value, "0x0p+0", Status::OK, Category::Zero), + (m_normal_value, m_normal_value, "-0x1p+1", Status::OK, Category::Normal), + (m_normal_value, p_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_normal_value, m_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_normal_value, p_smallest_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, m_smallest_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, p_smallest_normalized, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, m_smallest_normalized, "-0x1p+0", Status::INEXACT, Category::Normal), + (p_largest_value, p_inf, "inf", Status::OK, Category::Infinity), + (p_largest_value, m_inf, "-inf", Status::OK, Category::Infinity), + (p_largest_value, p_zero, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, m_zero, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_largest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_largest_value, p_normal_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_largest_value, m_normal_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_largest_value, p_largest_value, "inf", overflow_status, Category::Infinity), + (p_largest_value, m_largest_value, "0x0p+0", Status::OK, Category::Zero), + (p_largest_value, p_smallest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_largest_value, m_smallest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + ( + p_largest_value, + p_smallest_normalized, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + p_largest_value, + m_smallest_normalized, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (m_largest_value, p_inf, "inf", Status::OK, Category::Infinity), + (m_largest_value, m_inf, "-inf", Status::OK, Category::Infinity), + (m_largest_value, p_zero, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, m_zero, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_largest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_largest_value, p_normal_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_largest_value, m_normal_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_largest_value, p_largest_value, "0x0p+0", Status::OK, Category::Zero), + (m_largest_value, m_largest_value, "-inf", overflow_status, Category::Infinity), + (m_largest_value, p_smallest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_largest_value, m_smallest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + ( + m_largest_value, + p_smallest_normalized, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + m_largest_value, + m_smallest_normalized, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (p_smallest_value, p_inf, "inf", Status::OK, Category::Infinity), + (p_smallest_value, m_inf, "-inf", Status::OK, Category::Infinity), + (p_smallest_value, p_zero, "0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, m_zero, "0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_value, p_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_smallest_value, m_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (p_smallest_value, p_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_smallest_value, m_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_smallest_value, p_smallest_value, "0x1p-148", Status::OK, Category::Normal), + (p_smallest_value, m_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_value, p_smallest_normalized, "0x1.000002p-126", Status::OK, Category::Normal), + (p_smallest_value, m_smallest_normalized, "-0x1.fffffcp-127", Status::OK, Category::Normal), + (m_smallest_value, p_inf, "inf", Status::OK, Category::Infinity), + (m_smallest_value, m_inf, "-inf", Status::OK, Category::Infinity), + (m_smallest_value, p_zero, "-0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, m_zero, "-0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_value, p_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + (m_smallest_value, m_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_smallest_value, p_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_smallest_value, m_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_smallest_value, p_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_value, m_smallest_value, "-0x1p-148", Status::OK, Category::Normal), + (m_smallest_value, p_smallest_normalized, "0x1.fffffcp-127", Status::OK, Category::Normal), + (m_smallest_value, m_smallest_normalized, "-0x1.000002p-126", Status::OK, Category::Normal), + (p_smallest_normalized, p_inf, "inf", Status::OK, Category::Infinity), + (p_smallest_normalized, m_inf, "-inf", Status::OK, Category::Infinity), + (p_smallest_normalized, p_zero, "0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, m_zero, "0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_normalized, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_normalized, p_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_smallest_normalized, m_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + ( + p_smallest_normalized, + p_largest_value, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + p_smallest_normalized, + m_largest_value, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (p_smallest_normalized, p_smallest_value, "0x1.000002p-126", Status::OK, Category::Normal), + (p_smallest_normalized, m_smallest_value, "0x1.fffffcp-127", Status::OK, Category::Normal), + (p_smallest_normalized, p_smallest_normalized, "0x1p-125", Status::OK, Category::Normal), + (p_smallest_normalized, m_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_normalized, p_inf, "inf", Status::OK, Category::Infinity), + (m_smallest_normalized, m_inf, "-inf", Status::OK, Category::Infinity), + (m_smallest_normalized, p_zero, "-0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, m_zero, "-0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_normalized, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_normalized, p_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + (m_smallest_normalized, m_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + ( + m_smallest_normalized, + p_largest_value, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + m_smallest_normalized, + m_largest_value, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (m_smallest_normalized, p_smallest_value, "-0x1.fffffcp-127", Status::OK, Category::Normal), + (m_smallest_normalized, m_smallest_value, "-0x1.000002p-126", Status::OK, Category::Normal), + (m_smallest_normalized, p_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_normalized, m_smallest_normalized, "-0x1p-125", Status::OK, Category::Normal), + ]; + + for (x, y, e_result, e_status, e_category) in special_cases { + let status; + let result = unpack!(status=, x + y); + assert_eq!(status, e_status); + assert_eq!(result.category(), e_category); + assert!(result.bitwise_eq(e_result.parse::<Single>().unwrap())); + } +} + +#[test] +fn subtract() { + // Test Special Cases against each other and normal values. + + // FIXMES/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + let p_inf = Single::INFINITY; + let m_inf = -Single::INFINITY; + let p_zero = Single::ZERO; + let m_zero = -Single::ZERO; + let qnan = Single::NAN; + let p_normal_value = "0x1p+0".parse::<Single>().unwrap(); + let m_normal_value = "-0x1p+0".parse::<Single>().unwrap(); + let p_largest_value = Single::largest(); + let m_largest_value = -Single::largest(); + let p_smallest_value = Single::SMALLEST; + let m_smallest_value = -Single::SMALLEST; + let p_smallest_normalized = Single::smallest_normalized(); + let m_smallest_normalized = -Single::smallest_normalized(); + + let overflow_status = Status::OVERFLOW | Status::INEXACT; + + let special_cases = [ + (p_inf, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (p_inf, m_inf, "inf", Status::OK, Category::Infinity), + (p_inf, p_zero, "inf", Status::OK, Category::Infinity), + (p_inf, m_zero, "inf", Status::OK, Category::Infinity), + (p_inf, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_inf, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (p_inf, p_normal_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_normal_value, "inf", Status::OK, Category::Infinity), + (p_inf, p_largest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_largest_value, "inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_value, "inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_normalized, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_normalized, "inf", Status::OK, Category::Infinity), + (m_inf, p_inf, "-inf", Status::OK, Category::Infinity), + (m_inf, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (m_inf, p_zero, "-inf", Status::OK, Category::Infinity), + (m_inf, m_zero, "-inf", Status::OK, Category::Infinity), + (m_inf, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_inf, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (m_inf, p_normal_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_normal_value, "-inf", Status::OK, Category::Infinity), + (m_inf, p_largest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_largest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (p_zero, p_inf, "-inf", Status::OK, Category::Infinity), + (p_zero, m_inf, "inf", Status::OK, Category::Infinity), + (p_zero, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_zero, "0x0p+0", Status::OK, Category::Zero), + (p_zero, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_zero, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (p_zero, p_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (p_zero, m_normal_value, "0x1p+0", Status::OK, Category::Normal), + (p_zero, p_largest_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (p_zero, m_largest_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_zero, p_smallest_value, "-0x1p-149", Status::OK, Category::Normal), + (p_zero, m_smallest_value, "0x1p-149", Status::OK, Category::Normal), + (p_zero, p_smallest_normalized, "-0x1p-126", Status::OK, Category::Normal), + (p_zero, m_smallest_normalized, "0x1p-126", Status::OK, Category::Normal), + (m_zero, p_inf, "-inf", Status::OK, Category::Infinity), + (m_zero, m_inf, "inf", Status::OK, Category::Infinity), + (m_zero, p_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_zero, "0x0p+0", Status::OK, Category::Zero), + (m_zero, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_zero, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (m_zero, p_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (m_zero, m_normal_value, "0x1p+0", Status::OK, Category::Normal), + (m_zero, p_largest_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_zero, m_largest_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (m_zero, p_smallest_value, "-0x1p-149", Status::OK, Category::Normal), + (m_zero, m_smallest_value, "0x1p-149", Status::OK, Category::Normal), + (m_zero, p_smallest_normalized, "-0x1p-126", Status::OK, Category::Normal), + (m_zero, m_smallest_normalized, "0x1p-126", Status::OK, Category::Normal), + (qnan, p_inf, "nan", Status::OK, Category::NaN), + (qnan, m_inf, "nan", Status::OK, Category::NaN), + (qnan, p_zero, "nan", Status::OK, Category::NaN), + (qnan, m_zero, "nan", Status::OK, Category::NaN), + (qnan, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (qnan, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (qnan, p_normal_value, "nan", Status::OK, Category::NaN), + (qnan, m_normal_value, "nan", Status::OK, Category::NaN), + (qnan, p_largest_value, "nan", Status::OK, Category::NaN), + (qnan, m_largest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_normalized, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_normalized, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (snan, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, qnan, "nan", Status::INVALID_OP, Category::NaN), + (snan, snan, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_inf, "-inf", Status::OK, Category::Infinity), + (p_normal_value, m_inf, "inf", Status::OK, Category::Infinity), + (p_normal_value, p_zero, "0x1p+0", Status::OK, Category::Normal), + (p_normal_value, m_zero, "0x1p+0", Status::OK, Category::Normal), + (p_normal_value, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_normal_value, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_normal_value, "0x0p+0", Status::OK, Category::Zero), + (p_normal_value, m_normal_value, "0x1p+1", Status::OK, Category::Normal), + (p_normal_value, p_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_normal_value, m_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_normal_value, p_smallest_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_normal_value, m_smallest_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_normal_value, p_smallest_normalized, "0x1p+0", Status::INEXACT, Category::Normal), + (p_normal_value, m_smallest_normalized, "0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, p_inf, "-inf", Status::OK, Category::Infinity), + (m_normal_value, m_inf, "inf", Status::OK, Category::Infinity), + (m_normal_value, p_zero, "-0x1p+0", Status::OK, Category::Normal), + (m_normal_value, m_zero, "-0x1p+0", Status::OK, Category::Normal), + (m_normal_value, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_normal_value, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (m_normal_value, p_normal_value, "-0x1p+1", Status::OK, Category::Normal), + (m_normal_value, m_normal_value, "0x0p+0", Status::OK, Category::Zero), + (m_normal_value, p_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_normal_value, m_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_normal_value, p_smallest_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, m_smallest_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, p_smallest_normalized, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_normal_value, m_smallest_normalized, "-0x1p+0", Status::INEXACT, Category::Normal), + (p_largest_value, p_inf, "-inf", Status::OK, Category::Infinity), + (p_largest_value, m_inf, "inf", Status::OK, Category::Infinity), + (p_largest_value, p_zero, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, m_zero, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_largest_value, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (p_largest_value, p_normal_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_largest_value, m_normal_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_largest_value, p_largest_value, "0x0p+0", Status::OK, Category::Zero), + (p_largest_value, m_largest_value, "inf", overflow_status, Category::Infinity), + (p_largest_value, p_smallest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_largest_value, m_smallest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + ( + p_largest_value, + p_smallest_normalized, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + p_largest_value, + m_smallest_normalized, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (m_largest_value, p_inf, "-inf", Status::OK, Category::Infinity), + (m_largest_value, m_inf, "inf", Status::OK, Category::Infinity), + (m_largest_value, p_zero, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, m_zero, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_largest_value, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (m_largest_value, p_normal_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_largest_value, m_normal_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_largest_value, p_largest_value, "-inf", overflow_status, Category::Infinity), + (m_largest_value, m_largest_value, "0x0p+0", Status::OK, Category::Zero), + (m_largest_value, p_smallest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_largest_value, m_smallest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + ( + m_largest_value, + p_smallest_normalized, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + m_largest_value, + m_smallest_normalized, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (p_smallest_value, p_inf, "-inf", Status::OK, Category::Infinity), + (p_smallest_value, m_inf, "inf", Status::OK, Category::Infinity), + (p_smallest_value, p_zero, "0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, m_zero, "0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_value, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_value, p_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (p_smallest_value, m_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + (p_smallest_value, p_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_smallest_value, m_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (p_smallest_value, p_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_value, m_smallest_value, "0x1p-148", Status::OK, Category::Normal), + (p_smallest_value, p_smallest_normalized, "-0x1.fffffcp-127", Status::OK, Category::Normal), + (p_smallest_value, m_smallest_normalized, "0x1.000002p-126", Status::OK, Category::Normal), + (m_smallest_value, p_inf, "-inf", Status::OK, Category::Infinity), + (m_smallest_value, m_inf, "inf", Status::OK, Category::Infinity), + (m_smallest_value, p_zero, "-0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, m_zero, "-0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_value, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_value, p_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_smallest_value, m_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + (m_smallest_value, p_largest_value, "-0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_smallest_value, m_largest_value, "0x1.fffffep+127", Status::INEXACT, Category::Normal), + (m_smallest_value, p_smallest_value, "-0x1p-148", Status::OK, Category::Normal), + (m_smallest_value, m_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_value, p_smallest_normalized, "-0x1.000002p-126", Status::OK, Category::Normal), + (m_smallest_value, m_smallest_normalized, "0x1.fffffcp-127", Status::OK, Category::Normal), + (p_smallest_normalized, p_inf, "-inf", Status::OK, Category::Infinity), + (p_smallest_normalized, m_inf, "inf", Status::OK, Category::Infinity), + (p_smallest_normalized, p_zero, "0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, m_zero, "0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_normalized, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_normalized, p_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (p_smallest_normalized, m_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + ( + p_smallest_normalized, + p_largest_value, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + p_smallest_normalized, + m_largest_value, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (p_smallest_normalized, p_smallest_value, "0x1.fffffcp-127", Status::OK, Category::Normal), + (p_smallest_normalized, m_smallest_value, "0x1.000002p-126", Status::OK, Category::Normal), + (p_smallest_normalized, p_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_normalized, m_smallest_normalized, "0x1p-125", Status::OK, Category::Normal), + (m_smallest_normalized, p_inf, "-inf", Status::OK, Category::Infinity), + (m_smallest_normalized, m_inf, "inf", Status::OK, Category::Infinity), + (m_smallest_normalized, p_zero, "-0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, m_zero, "-0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, qnan, "-nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_normalized, snan, "-nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_normalized, p_normal_value, "-0x1p+0", Status::INEXACT, Category::Normal), + (m_smallest_normalized, m_normal_value, "0x1p+0", Status::INEXACT, Category::Normal), + ( + m_smallest_normalized, + p_largest_value, + "-0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + ( + m_smallest_normalized, + m_largest_value, + "0x1.fffffep+127", + Status::INEXACT, + Category::Normal, + ), + (m_smallest_normalized, p_smallest_value, "-0x1.000002p-126", Status::OK, Category::Normal), + (m_smallest_normalized, m_smallest_value, "-0x1.fffffcp-127", Status::OK, Category::Normal), + (m_smallest_normalized, p_smallest_normalized, "-0x1p-125", Status::OK, Category::Normal), + (m_smallest_normalized, m_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + ]; + + for (x, y, e_result, e_status, e_category) in special_cases { + let status; + let result = unpack!(status=, x - y); + assert_eq!(status, e_status); + assert_eq!(result.category(), e_category); + assert!(result.bitwise_eq(e_result.parse::<Single>().unwrap())); + } +} + +#[test] +fn multiply() { + // Test Special Cases against each other and normal values. + + // FIXMES/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + let p_inf = Single::INFINITY; + let m_inf = -Single::INFINITY; + let p_zero = Single::ZERO; + let m_zero = -Single::ZERO; + let qnan = Single::NAN; + let p_normal_value = "0x1p+0".parse::<Single>().unwrap(); + let m_normal_value = "-0x1p+0".parse::<Single>().unwrap(); + let p_largest_value = Single::largest(); + let m_largest_value = -Single::largest(); + let p_smallest_value = Single::SMALLEST; + let m_smallest_value = -Single::SMALLEST; + let p_smallest_normalized = Single::smallest_normalized(); + let m_smallest_normalized = -Single::smallest_normalized(); + + let overflow_status = Status::OVERFLOW | Status::INEXACT; + let underflow_status = Status::UNDERFLOW | Status::INEXACT; + + let special_cases = [ + (p_inf, p_inf, "inf", Status::OK, Category::Infinity), + (p_inf, m_inf, "-inf", Status::OK, Category::Infinity), + (p_inf, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (p_inf, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (p_inf, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_inf, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_inf, p_normal_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_normal_value, "-inf", Status::OK, Category::Infinity), + (p_inf, p_largest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_largest_value, "-inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_value, "-inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_normalized, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (m_inf, p_inf, "-inf", Status::OK, Category::Infinity), + (m_inf, m_inf, "inf", Status::OK, Category::Infinity), + (m_inf, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (m_inf, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (m_inf, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_inf, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_inf, p_normal_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_normal_value, "inf", Status::OK, Category::Infinity), + (m_inf, p_largest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_largest_value, "inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_value, "inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_normalized, "inf", Status::OK, Category::Infinity), + (p_zero, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (p_zero, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (p_zero, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_zero, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_zero, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_zero, p_normal_value, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_normal_value, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_largest_value, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_largest_value, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_smallest_value, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_smallest_normalized, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (m_zero, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (m_zero, p_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_zero, "0x0p+0", Status::OK, Category::Zero), + (m_zero, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_zero, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_zero, p_normal_value, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_normal_value, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_largest_value, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_largest_value, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_smallest_value, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_smallest_normalized, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (qnan, p_inf, "nan", Status::OK, Category::NaN), + (qnan, m_inf, "nan", Status::OK, Category::NaN), + (qnan, p_zero, "nan", Status::OK, Category::NaN), + (qnan, m_zero, "nan", Status::OK, Category::NaN), + (qnan, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (qnan, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (qnan, p_normal_value, "nan", Status::OK, Category::NaN), + (qnan, m_normal_value, "nan", Status::OK, Category::NaN), + (qnan, p_largest_value, "nan", Status::OK, Category::NaN), + (qnan, m_largest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_normalized, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_normalized, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (snan, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, qnan, "nan", Status::INVALID_OP, Category::NaN), + (snan, snan, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_inf, "inf", Status::OK, Category::Infinity), + (p_normal_value, m_inf, "-inf", Status::OK, Category::Infinity), + (p_normal_value, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_normal_value, m_zero, "-0x0p+0", Status::OK, Category::Zero), + (p_normal_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_normal_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_normal_value, "0x1p+0", Status::OK, Category::Normal), + (p_normal_value, m_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (p_normal_value, p_largest_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_normal_value, m_largest_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (p_normal_value, p_smallest_value, "0x1p-149", Status::OK, Category::Normal), + (p_normal_value, m_smallest_value, "-0x1p-149", Status::OK, Category::Normal), + (p_normal_value, p_smallest_normalized, "0x1p-126", Status::OK, Category::Normal), + (p_normal_value, m_smallest_normalized, "-0x1p-126", Status::OK, Category::Normal), + (m_normal_value, p_inf, "-inf", Status::OK, Category::Infinity), + (m_normal_value, m_inf, "inf", Status::OK, Category::Infinity), + (m_normal_value, p_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_normal_value, m_zero, "0x0p+0", Status::OK, Category::Zero), + (m_normal_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_normal_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_normal_value, p_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (m_normal_value, m_normal_value, "0x1p+0", Status::OK, Category::Normal), + (m_normal_value, p_largest_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_normal_value, m_largest_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (m_normal_value, p_smallest_value, "-0x1p-149", Status::OK, Category::Normal), + (m_normal_value, m_smallest_value, "0x1p-149", Status::OK, Category::Normal), + (m_normal_value, p_smallest_normalized, "-0x1p-126", Status::OK, Category::Normal), + (m_normal_value, m_smallest_normalized, "0x1p-126", Status::OK, Category::Normal), + (p_largest_value, p_inf, "inf", Status::OK, Category::Infinity), + (p_largest_value, m_inf, "-inf", Status::OK, Category::Infinity), + (p_largest_value, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_largest_value, m_zero, "-0x0p+0", Status::OK, Category::Zero), + (p_largest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_largest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_largest_value, p_normal_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, m_normal_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, p_largest_value, "inf", overflow_status, Category::Infinity), + (p_largest_value, m_largest_value, "-inf", overflow_status, Category::Infinity), + (p_largest_value, p_smallest_value, "0x1.fffffep-22", Status::OK, Category::Normal), + (p_largest_value, m_smallest_value, "-0x1.fffffep-22", Status::OK, Category::Normal), + (p_largest_value, p_smallest_normalized, "0x1.fffffep+1", Status::OK, Category::Normal), + (p_largest_value, m_smallest_normalized, "-0x1.fffffep+1", Status::OK, Category::Normal), + (m_largest_value, p_inf, "-inf", Status::OK, Category::Infinity), + (m_largest_value, m_inf, "inf", Status::OK, Category::Infinity), + (m_largest_value, p_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_largest_value, m_zero, "0x0p+0", Status::OK, Category::Zero), + (m_largest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_largest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_largest_value, p_normal_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, m_normal_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, p_largest_value, "-inf", overflow_status, Category::Infinity), + (m_largest_value, m_largest_value, "inf", overflow_status, Category::Infinity), + (m_largest_value, p_smallest_value, "-0x1.fffffep-22", Status::OK, Category::Normal), + (m_largest_value, m_smallest_value, "0x1.fffffep-22", Status::OK, Category::Normal), + (m_largest_value, p_smallest_normalized, "-0x1.fffffep+1", Status::OK, Category::Normal), + (m_largest_value, m_smallest_normalized, "0x1.fffffep+1", Status::OK, Category::Normal), + (p_smallest_value, p_inf, "inf", Status::OK, Category::Infinity), + (p_smallest_value, m_inf, "-inf", Status::OK, Category::Infinity), + (p_smallest_value, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_value, m_zero, "-0x0p+0", Status::OK, Category::Zero), + (p_smallest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_value, p_normal_value, "0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, m_normal_value, "-0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, p_largest_value, "0x1.fffffep-22", Status::OK, Category::Normal), + (p_smallest_value, m_largest_value, "-0x1.fffffep-22", Status::OK, Category::Normal), + (p_smallest_value, p_smallest_value, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_value, m_smallest_value, "-0x0p+0", underflow_status, Category::Zero), + (p_smallest_value, p_smallest_normalized, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_value, m_smallest_normalized, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_value, p_inf, "-inf", Status::OK, Category::Infinity), + (m_smallest_value, m_inf, "inf", Status::OK, Category::Infinity), + (m_smallest_value, p_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_smallest_value, m_zero, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_value, p_normal_value, "-0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, m_normal_value, "0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, p_largest_value, "-0x1.fffffep-22", Status::OK, Category::Normal), + (m_smallest_value, m_largest_value, "0x1.fffffep-22", Status::OK, Category::Normal), + (m_smallest_value, p_smallest_value, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_value, m_smallest_value, "0x0p+0", underflow_status, Category::Zero), + (m_smallest_value, p_smallest_normalized, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_value, m_smallest_normalized, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_normalized, p_inf, "inf", Status::OK, Category::Infinity), + (p_smallest_normalized, m_inf, "-inf", Status::OK, Category::Infinity), + (p_smallest_normalized, p_zero, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_normalized, m_zero, "-0x0p+0", Status::OK, Category::Zero), + (p_smallest_normalized, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_normalized, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_normalized, p_normal_value, "0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, m_normal_value, "-0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, p_largest_value, "0x1.fffffep+1", Status::OK, Category::Normal), + (p_smallest_normalized, m_largest_value, "-0x1.fffffep+1", Status::OK, Category::Normal), + (p_smallest_normalized, p_smallest_value, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_normalized, m_smallest_value, "-0x0p+0", underflow_status, Category::Zero), + (p_smallest_normalized, p_smallest_normalized, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_normalized, m_smallest_normalized, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_normalized, p_inf, "-inf", Status::OK, Category::Infinity), + (m_smallest_normalized, m_inf, "inf", Status::OK, Category::Infinity), + (m_smallest_normalized, p_zero, "-0x0p+0", Status::OK, Category::Zero), + (m_smallest_normalized, m_zero, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_normalized, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_normalized, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_normalized, p_normal_value, "-0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, m_normal_value, "0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, p_largest_value, "-0x1.fffffep+1", Status::OK, Category::Normal), + (m_smallest_normalized, m_largest_value, "0x1.fffffep+1", Status::OK, Category::Normal), + (m_smallest_normalized, p_smallest_value, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_normalized, m_smallest_value, "0x0p+0", underflow_status, Category::Zero), + (m_smallest_normalized, p_smallest_normalized, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_normalized, m_smallest_normalized, "0x0p+0", underflow_status, Category::Zero), + ]; + + for (x, y, e_result, e_status, e_category) in special_cases { + let status; + let result = unpack!(status=, x * y); + assert_eq!(status, e_status); + assert_eq!(result.category(), e_category); + assert!(result.bitwise_eq(e_result.parse::<Single>().unwrap())); + } +} + +#[test] +fn divide() { + // Test Special Cases against each other and normal values. + + // FIXMES/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + let p_inf = Single::INFINITY; + let m_inf = -Single::INFINITY; + let p_zero = Single::ZERO; + let m_zero = -Single::ZERO; + let qnan = Single::NAN; + let p_normal_value = "0x1p+0".parse::<Single>().unwrap(); + let m_normal_value = "-0x1p+0".parse::<Single>().unwrap(); + let p_largest_value = Single::largest(); + let m_largest_value = -Single::largest(); + let p_smallest_value = Single::SMALLEST; + let m_smallest_value = -Single::SMALLEST; + let p_smallest_normalized = Single::smallest_normalized(); + let m_smallest_normalized = -Single::smallest_normalized(); + + let overflow_status = Status::OVERFLOW | Status::INEXACT; + let underflow_status = Status::UNDERFLOW | Status::INEXACT; + + let special_cases = [ + (p_inf, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (p_inf, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (p_inf, p_zero, "inf", Status::OK, Category::Infinity), + (p_inf, m_zero, "-inf", Status::OK, Category::Infinity), + (p_inf, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_inf, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_inf, p_normal_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_normal_value, "-inf", Status::OK, Category::Infinity), + (p_inf, p_largest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_largest_value, "-inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_value, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_value, "-inf", Status::OK, Category::Infinity), + (p_inf, p_smallest_normalized, "inf", Status::OK, Category::Infinity), + (p_inf, m_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (m_inf, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (m_inf, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (m_inf, p_zero, "-inf", Status::OK, Category::Infinity), + (m_inf, m_zero, "inf", Status::OK, Category::Infinity), + (m_inf, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_inf, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_inf, p_normal_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_normal_value, "inf", Status::OK, Category::Infinity), + (m_inf, p_largest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_largest_value, "inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_value, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_value, "inf", Status::OK, Category::Infinity), + (m_inf, p_smallest_normalized, "-inf", Status::OK, Category::Infinity), + (m_inf, m_smallest_normalized, "inf", Status::OK, Category::Infinity), + (p_zero, p_inf, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_inf, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (p_zero, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (p_zero, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_zero, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_zero, p_normal_value, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_normal_value, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_largest_value, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_largest_value, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_smallest_value, "-0x0p+0", Status::OK, Category::Zero), + (p_zero, p_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (p_zero, m_smallest_normalized, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, p_inf, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_inf, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (m_zero, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (m_zero, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_zero, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_zero, p_normal_value, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_normal_value, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_largest_value, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_largest_value, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_smallest_value, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_smallest_value, "0x0p+0", Status::OK, Category::Zero), + (m_zero, p_smallest_normalized, "-0x0p+0", Status::OK, Category::Zero), + (m_zero, m_smallest_normalized, "0x0p+0", Status::OK, Category::Zero), + (qnan, p_inf, "nan", Status::OK, Category::NaN), + (qnan, m_inf, "nan", Status::OK, Category::NaN), + (qnan, p_zero, "nan", Status::OK, Category::NaN), + (qnan, m_zero, "nan", Status::OK, Category::NaN), + (qnan, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (qnan, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (qnan, p_normal_value, "nan", Status::OK, Category::NaN), + (qnan, m_normal_value, "nan", Status::OK, Category::NaN), + (qnan, p_largest_value, "nan", Status::OK, Category::NaN), + (qnan, m_largest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_value, "nan", Status::OK, Category::NaN), + (qnan, p_smallest_normalized, "nan", Status::OK, Category::NaN), + (qnan, m_smallest_normalized, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (snan, p_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_inf, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_zero, "nan", Status::INVALID_OP, Category::NaN), + (snan, qnan, "nan", Status::INVALID_OP, Category::NaN), + (snan, snan, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_normal_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_largest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_value, "nan", Status::INVALID_OP, Category::NaN), + (snan, p_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + (snan, m_smallest_normalized, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_inf, "0x0p+0", Status::OK, Category::Zero), + (p_normal_value, m_inf, "-0x0p+0", Status::OK, Category::Zero), + (p_normal_value, p_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_normal_value, m_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_normal_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_normal_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_normal_value, p_normal_value, "0x1p+0", Status::OK, Category::Normal), + (p_normal_value, m_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (p_normal_value, p_largest_value, "0x1p-128", underflow_status, Category::Normal), + (p_normal_value, m_largest_value, "-0x1p-128", underflow_status, Category::Normal), + (p_normal_value, p_smallest_value, "inf", overflow_status, Category::Infinity), + (p_normal_value, m_smallest_value, "-inf", overflow_status, Category::Infinity), + (p_normal_value, p_smallest_normalized, "0x1p+126", Status::OK, Category::Normal), + (p_normal_value, m_smallest_normalized, "-0x1p+126", Status::OK, Category::Normal), + (m_normal_value, p_inf, "-0x0p+0", Status::OK, Category::Zero), + (m_normal_value, m_inf, "0x0p+0", Status::OK, Category::Zero), + (m_normal_value, p_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_normal_value, m_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_normal_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_normal_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_normal_value, p_normal_value, "-0x1p+0", Status::OK, Category::Normal), + (m_normal_value, m_normal_value, "0x1p+0", Status::OK, Category::Normal), + (m_normal_value, p_largest_value, "-0x1p-128", underflow_status, Category::Normal), + (m_normal_value, m_largest_value, "0x1p-128", underflow_status, Category::Normal), + (m_normal_value, p_smallest_value, "-inf", overflow_status, Category::Infinity), + (m_normal_value, m_smallest_value, "inf", overflow_status, Category::Infinity), + (m_normal_value, p_smallest_normalized, "-0x1p+126", Status::OK, Category::Normal), + (m_normal_value, m_smallest_normalized, "0x1p+126", Status::OK, Category::Normal), + (p_largest_value, p_inf, "0x0p+0", Status::OK, Category::Zero), + (p_largest_value, m_inf, "-0x0p+0", Status::OK, Category::Zero), + (p_largest_value, p_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_largest_value, m_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_largest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_largest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_largest_value, p_normal_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, m_normal_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (p_largest_value, p_largest_value, "0x1p+0", Status::OK, Category::Normal), + (p_largest_value, m_largest_value, "-0x1p+0", Status::OK, Category::Normal), + (p_largest_value, p_smallest_value, "inf", overflow_status, Category::Infinity), + (p_largest_value, m_smallest_value, "-inf", overflow_status, Category::Infinity), + (p_largest_value, p_smallest_normalized, "inf", overflow_status, Category::Infinity), + (p_largest_value, m_smallest_normalized, "-inf", overflow_status, Category::Infinity), + (m_largest_value, p_inf, "-0x0p+0", Status::OK, Category::Zero), + (m_largest_value, m_inf, "0x0p+0", Status::OK, Category::Zero), + (m_largest_value, p_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_largest_value, m_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_largest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_largest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_largest_value, p_normal_value, "-0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, m_normal_value, "0x1.fffffep+127", Status::OK, Category::Normal), + (m_largest_value, p_largest_value, "-0x1p+0", Status::OK, Category::Normal), + (m_largest_value, m_largest_value, "0x1p+0", Status::OK, Category::Normal), + (m_largest_value, p_smallest_value, "-inf", overflow_status, Category::Infinity), + (m_largest_value, m_smallest_value, "inf", overflow_status, Category::Infinity), + (m_largest_value, p_smallest_normalized, "-inf", overflow_status, Category::Infinity), + (m_largest_value, m_smallest_normalized, "inf", overflow_status, Category::Infinity), + (p_smallest_value, p_inf, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_value, m_inf, "-0x0p+0", Status::OK, Category::Zero), + (p_smallest_value, p_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_smallest_value, m_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_smallest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_value, p_normal_value, "0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, m_normal_value, "-0x1p-149", Status::OK, Category::Normal), + (p_smallest_value, p_largest_value, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_value, m_largest_value, "-0x0p+0", underflow_status, Category::Zero), + (p_smallest_value, p_smallest_value, "0x1p+0", Status::OK, Category::Normal), + (p_smallest_value, m_smallest_value, "-0x1p+0", Status::OK, Category::Normal), + (p_smallest_value, p_smallest_normalized, "0x1p-23", Status::OK, Category::Normal), + (p_smallest_value, m_smallest_normalized, "-0x1p-23", Status::OK, Category::Normal), + (m_smallest_value, p_inf, "-0x0p+0", Status::OK, Category::Zero), + (m_smallest_value, m_inf, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_value, p_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_smallest_value, m_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_smallest_value, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_value, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_value, p_normal_value, "-0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, m_normal_value, "0x1p-149", Status::OK, Category::Normal), + (m_smallest_value, p_largest_value, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_value, m_largest_value, "0x0p+0", underflow_status, Category::Zero), + (m_smallest_value, p_smallest_value, "-0x1p+0", Status::OK, Category::Normal), + (m_smallest_value, m_smallest_value, "0x1p+0", Status::OK, Category::Normal), + (m_smallest_value, p_smallest_normalized, "-0x1p-23", Status::OK, Category::Normal), + (m_smallest_value, m_smallest_normalized, "0x1p-23", Status::OK, Category::Normal), + (p_smallest_normalized, p_inf, "0x0p+0", Status::OK, Category::Zero), + (p_smallest_normalized, m_inf, "-0x0p+0", Status::OK, Category::Zero), + (p_smallest_normalized, p_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_smallest_normalized, m_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (p_smallest_normalized, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (p_smallest_normalized, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (p_smallest_normalized, p_normal_value, "0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, m_normal_value, "-0x1p-126", Status::OK, Category::Normal), + (p_smallest_normalized, p_largest_value, "0x0p+0", underflow_status, Category::Zero), + (p_smallest_normalized, m_largest_value, "-0x0p+0", underflow_status, Category::Zero), + (p_smallest_normalized, p_smallest_value, "0x1p+23", Status::OK, Category::Normal), + (p_smallest_normalized, m_smallest_value, "-0x1p+23", Status::OK, Category::Normal), + (p_smallest_normalized, p_smallest_normalized, "0x1p+0", Status::OK, Category::Normal), + (p_smallest_normalized, m_smallest_normalized, "-0x1p+0", Status::OK, Category::Normal), + (m_smallest_normalized, p_inf, "-0x0p+0", Status::OK, Category::Zero), + (m_smallest_normalized, m_inf, "0x0p+0", Status::OK, Category::Zero), + (m_smallest_normalized, p_zero, "-inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_smallest_normalized, m_zero, "inf", Status::DIV_BY_ZERO, Category::Infinity), + (m_smallest_normalized, qnan, "nan", Status::OK, Category::NaN), + /* + // See Note 1. + (m_smallest_normalized, snan, "nan", Status::INVALID_OP, Category::NaN), + */ + (m_smallest_normalized, p_normal_value, "-0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, m_normal_value, "0x1p-126", Status::OK, Category::Normal), + (m_smallest_normalized, p_largest_value, "-0x0p+0", underflow_status, Category::Zero), + (m_smallest_normalized, m_largest_value, "0x0p+0", underflow_status, Category::Zero), + (m_smallest_normalized, p_smallest_value, "-0x1p+23", Status::OK, Category::Normal), + (m_smallest_normalized, m_smallest_value, "0x1p+23", Status::OK, Category::Normal), + (m_smallest_normalized, p_smallest_normalized, "-0x1p+0", Status::OK, Category::Normal), + (m_smallest_normalized, m_smallest_normalized, "0x1p+0", Status::OK, Category::Normal), + ]; + + for (x, y, e_result, e_status, e_category) in special_cases { + let status; + let result = unpack!(status=, x / y); + assert_eq!(status, e_status); + assert_eq!(result.category(), e_category); + assert!(result.bitwise_eq(e_result.parse::<Single>().unwrap())); + } +} + +#[test] +fn operator_overloads() { + // This is mostly testing that these operator overloads compile. + let one = "0x1p+0".parse::<Single>().unwrap(); + let two = "0x2p+0".parse::<Single>().unwrap(); + assert!(two.bitwise_eq((one + one).value)); + assert!(one.bitwise_eq((two - one).value)); + assert!(two.bitwise_eq((one * two).value)); + assert!(one.bitwise_eq((two / two).value)); +} + +#[test] +fn abs() { + let p_inf = Single::INFINITY; + let m_inf = -Single::INFINITY; + let p_zero = Single::ZERO; + let m_zero = -Single::ZERO; + let p_qnan = Single::NAN; + let m_qnan = -Single::NAN; + let p_snan = Single::snan(None); + let m_snan = -Single::snan(None); + let p_normal_value = "0x1p+0".parse::<Single>().unwrap(); + let m_normal_value = "-0x1p+0".parse::<Single>().unwrap(); + let p_largest_value = Single::largest(); + let m_largest_value = -Single::largest(); + let p_smallest_value = Single::SMALLEST; + let m_smallest_value = -Single::SMALLEST; + let p_smallest_normalized = Single::smallest_normalized(); + let m_smallest_normalized = -Single::smallest_normalized(); + + assert!(p_inf.bitwise_eq(p_inf.abs())); + assert!(p_inf.bitwise_eq(m_inf.abs())); + assert!(p_zero.bitwise_eq(p_zero.abs())); + assert!(p_zero.bitwise_eq(m_zero.abs())); + assert!(p_qnan.bitwise_eq(p_qnan.abs())); + assert!(p_qnan.bitwise_eq(m_qnan.abs())); + assert!(p_snan.bitwise_eq(p_snan.abs())); + assert!(p_snan.bitwise_eq(m_snan.abs())); + assert!(p_normal_value.bitwise_eq(p_normal_value.abs())); + assert!(p_normal_value.bitwise_eq(m_normal_value.abs())); + assert!(p_largest_value.bitwise_eq(p_largest_value.abs())); + assert!(p_largest_value.bitwise_eq(m_largest_value.abs())); + assert!(p_smallest_value.bitwise_eq(p_smallest_value.abs())); + assert!(p_smallest_value.bitwise_eq(m_smallest_value.abs())); + assert!(p_smallest_normalized.bitwise_eq(p_smallest_normalized.abs(),)); + assert!(p_smallest_normalized.bitwise_eq(m_smallest_normalized.abs(),)); +} + +#[test] +fn neg() { + let one = "1.0".parse::<Single>().unwrap(); + let neg_one = "-1.0".parse::<Single>().unwrap(); + let zero = Single::ZERO; + let neg_zero = -Single::ZERO; + let inf = Single::INFINITY; + let neg_inf = -Single::INFINITY; + let qnan = Single::NAN; + let neg_qnan = -Single::NAN; + + assert!(neg_one.bitwise_eq(-one)); + assert!(one.bitwise_eq(-neg_one)); + assert!(neg_zero.bitwise_eq(-zero)); + assert!(zero.bitwise_eq(-neg_zero)); + assert!(neg_inf.bitwise_eq(-inf)); + assert!(inf.bitwise_eq(-neg_inf)); + assert!(neg_inf.bitwise_eq(-inf)); + assert!(inf.bitwise_eq(-neg_inf)); + assert!(neg_qnan.bitwise_eq(-qnan)); + assert!(qnan.bitwise_eq(-neg_qnan)); +} + +#[test] +fn ilogb() { + assert_eq!(-1074, Double::SMALLEST.ilogb()); + assert_eq!(-1074, (-Double::SMALLEST).ilogb()); + assert_eq!(-1023, "0x1.ffffffffffffep-1024".parse::<Double>().unwrap().ilogb()); + assert_eq!(-1023, "0x1.ffffffffffffep-1023".parse::<Double>().unwrap().ilogb()); + assert_eq!(-1023, "-0x1.ffffffffffffep-1023".parse::<Double>().unwrap().ilogb()); + assert_eq!(-51, "0x1p-51".parse::<Double>().unwrap().ilogb()); + assert_eq!(-1023, "0x1.c60f120d9f87cp-1023".parse::<Double>().unwrap().ilogb()); + assert_eq!(-2, "0x0.ffffp-1".parse::<Double>().unwrap().ilogb()); + assert_eq!(-1023, "0x1.fffep-1023".parse::<Double>().unwrap().ilogb()); + assert_eq!(1023, Double::largest().ilogb()); + assert_eq!(1023, (-Double::largest()).ilogb()); + + assert_eq!(0, "0x1p+0".parse::<Single>().unwrap().ilogb()); + assert_eq!(0, "-0x1p+0".parse::<Single>().unwrap().ilogb()); + assert_eq!(42, "0x1p+42".parse::<Single>().unwrap().ilogb()); + assert_eq!(-42, "0x1p-42".parse::<Single>().unwrap().ilogb()); + + assert_eq!(IEK_INF, Single::INFINITY.ilogb()); + assert_eq!(IEK_INF, (-Single::INFINITY).ilogb()); + assert_eq!(IEK_ZERO, Single::ZERO.ilogb()); + assert_eq!(IEK_ZERO, (-Single::ZERO).ilogb()); + assert_eq!(IEK_NAN, Single::NAN.ilogb()); + assert_eq!(IEK_NAN, Single::snan(None).ilogb()); + + assert_eq!(127, Single::largest().ilogb()); + assert_eq!(127, (-Single::largest()).ilogb()); + + assert_eq!(-149, Single::SMALLEST.ilogb()); + assert_eq!(-149, (-Single::SMALLEST).ilogb()); + assert_eq!(-126, Single::smallest_normalized().ilogb()); + assert_eq!(-126, (-Single::smallest_normalized()).ilogb()); +} + +#[test] +fn scalbn() { + assert!( + "0x1p+0" + .parse::<Single>() + .unwrap() + .bitwise_eq("0x1p+0".parse::<Single>().unwrap().scalbn(0),) + ); + assert!( + "0x1p+42" + .parse::<Single>() + .unwrap() + .bitwise_eq("0x1p+0".parse::<Single>().unwrap().scalbn(42),) + ); + assert!( + "0x1p-42" + .parse::<Single>() + .unwrap() + .bitwise_eq("0x1p+0".parse::<Single>().unwrap().scalbn(-42),) + ); + + let p_inf = Single::INFINITY; + let m_inf = -Single::INFINITY; + let p_zero = Single::ZERO; + let m_zero = -Single::ZERO; + let p_qnan = Single::NAN; + let m_qnan = -Single::NAN; + let snan = Single::snan(None); + + assert!(p_inf.bitwise_eq(p_inf.scalbn(0))); + assert!(m_inf.bitwise_eq(m_inf.scalbn(0))); + assert!(p_zero.bitwise_eq(p_zero.scalbn(0))); + assert!(m_zero.bitwise_eq(m_zero.scalbn(0))); + assert!(p_qnan.bitwise_eq(p_qnan.scalbn(0))); + assert!(m_qnan.bitwise_eq(m_qnan.scalbn(0))); + assert!(!snan.scalbn(0).is_signaling()); + + let scalbn_snan = snan.scalbn(1); + assert!(scalbn_snan.is_nan() && !scalbn_snan.is_signaling()); + + // Make sure highest bit of payload is preserved. + let payload = (1 << 50) | (1 << 49) | (1234 << 32) | 1; + + let snan_with_payload = Double::snan(Some(payload)); + let quiet_payload = snan_with_payload.scalbn(1); + assert!(quiet_payload.is_nan() && !quiet_payload.is_signaling()); + assert_eq!(payload, quiet_payload.to_bits() & ((1 << 51) - 1)); + + assert!(p_inf.bitwise_eq("0x1p+0".parse::<Single>().unwrap().scalbn(128),)); + assert!(m_inf.bitwise_eq("-0x1p+0".parse::<Single>().unwrap().scalbn(128),)); + assert!(p_inf.bitwise_eq("0x1p+127".parse::<Single>().unwrap().scalbn(1),)); + assert!(p_zero.bitwise_eq("0x1p-127".parse::<Single>().unwrap().scalbn(-127),)); + assert!(m_zero.bitwise_eq("-0x1p-127".parse::<Single>().unwrap().scalbn(-127),)); + assert!( + "-0x1p-149" + .parse::<Single>() + .unwrap() + .bitwise_eq("-0x1p-127".parse::<Single>().unwrap().scalbn(-22),) + ); + assert!(p_zero.bitwise_eq("0x1p-126".parse::<Single>().unwrap().scalbn(-24),)); + + let smallest_f64 = Double::SMALLEST; + let neg_smallest_f64 = -Double::SMALLEST; + + let largest_f64 = Double::largest(); + let neg_largest_f64 = -Double::largest(); + + let largest_denormal_f64 = "0x1.ffffffffffffep-1023".parse::<Double>().unwrap(); + let neg_largest_denormal_f64 = "-0x1.ffffffffffffep-1023".parse::<Double>().unwrap(); + + assert!(smallest_f64.bitwise_eq("0x1p-1074".parse::<Double>().unwrap().scalbn(0),)); + assert!(neg_smallest_f64.bitwise_eq("-0x1p-1074".parse::<Double>().unwrap().scalbn(0),)); + + assert!("0x1p+1023".parse::<Double>().unwrap().bitwise_eq(smallest_f64.scalbn(2097,),)); + + assert!(smallest_f64.scalbn(-2097).is_pos_zero()); + assert!(smallest_f64.scalbn(-2098).is_pos_zero()); + assert!(smallest_f64.scalbn(-2099).is_pos_zero()); + assert!("0x1p+1022".parse::<Double>().unwrap().bitwise_eq(smallest_f64.scalbn(2096,),)); + assert!("0x1p+1023".parse::<Double>().unwrap().bitwise_eq(smallest_f64.scalbn(2097,),)); + assert!(smallest_f64.scalbn(2098).is_infinite()); + assert!(smallest_f64.scalbn(2099).is_infinite()); + + // Test for integer overflows when adding to exponent. + assert!(smallest_f64.scalbn(-ExpInt::MAX).is_pos_zero()); + assert!(largest_f64.scalbn(ExpInt::MAX).is_infinite()); + + assert!(largest_denormal_f64.bitwise_eq(largest_denormal_f64.scalbn(0),)); + assert!(neg_largest_denormal_f64.bitwise_eq(neg_largest_denormal_f64.scalbn(0),)); + + assert!( + "0x1.ffffffffffffep-1022" + .parse::<Double>() + .unwrap() + .bitwise_eq(largest_denormal_f64.scalbn(1)) + ); + assert!( + "-0x1.ffffffffffffep-1021" + .parse::<Double>() + .unwrap() + .bitwise_eq(neg_largest_denormal_f64.scalbn(2)) + ); + + assert!( + "0x1.ffffffffffffep+1" + .parse::<Double>() + .unwrap() + .bitwise_eq(largest_denormal_f64.scalbn(1024)) + ); + assert!(largest_denormal_f64.scalbn(-1023).is_pos_zero()); + assert!(largest_denormal_f64.scalbn(-1024).is_pos_zero()); + assert!(largest_denormal_f64.scalbn(-2048).is_pos_zero()); + assert!(largest_denormal_f64.scalbn(2047).is_infinite()); + assert!(largest_denormal_f64.scalbn(2098).is_infinite()); + assert!(largest_denormal_f64.scalbn(2099).is_infinite()); + + assert!( + "0x1.ffffffffffffep-2" + .parse::<Double>() + .unwrap() + .bitwise_eq(largest_denormal_f64.scalbn(1021)) + ); + assert!( + "0x1.ffffffffffffep-1" + .parse::<Double>() + .unwrap() + .bitwise_eq(largest_denormal_f64.scalbn(1022)) + ); + assert!( + "0x1.ffffffffffffep+0" + .parse::<Double>() + .unwrap() + .bitwise_eq(largest_denormal_f64.scalbn(1023)) + ); + assert!( + "0x1.ffffffffffffep+1023" + .parse::<Double>() + .unwrap() + .bitwise_eq(largest_denormal_f64.scalbn(2046)) + ); + assert!("0x1p+974".parse::<Double>().unwrap().bitwise_eq(smallest_f64.scalbn(2048,),)); + + let random_denormal_f64 = "0x1.c60f120d9f87cp+51".parse::<Double>().unwrap(); + assert!( + "0x1.c60f120d9f87cp-972" + .parse::<Double>() + .unwrap() + .bitwise_eq(random_denormal_f64.scalbn(-1023)) + ); + assert!( + "0x1.c60f120d9f87cp-1" + .parse::<Double>() + .unwrap() + .bitwise_eq(random_denormal_f64.scalbn(-52)) + ); + assert!( + "0x1.c60f120d9f87cp-2" + .parse::<Double>() + .unwrap() + .bitwise_eq(random_denormal_f64.scalbn(-53)) + ); + assert!( + "0x1.c60f120d9f87cp+0" + .parse::<Double>() + .unwrap() + .bitwise_eq(random_denormal_f64.scalbn(-51)) + ); + + assert!(random_denormal_f64.scalbn(-2097).is_pos_zero()); + assert!(random_denormal_f64.scalbn(-2090).is_pos_zero()); + + assert!("-0x1p-1073".parse::<Double>().unwrap().bitwise_eq(neg_largest_f64.scalbn(-2097),)); + + assert!("-0x1p-1024".parse::<Double>().unwrap().bitwise_eq(neg_largest_f64.scalbn(-2048),)); + + assert!("0x1p-1073".parse::<Double>().unwrap().bitwise_eq(largest_f64.scalbn(-2097,),)); + + assert!("0x1p-1074".parse::<Double>().unwrap().bitwise_eq(largest_f64.scalbn(-2098,),)); + assert!("-0x1p-1074".parse::<Double>().unwrap().bitwise_eq(neg_largest_f64.scalbn(-2098),)); + assert!(neg_largest_f64.scalbn(-2099).is_neg_zero()); + assert!(largest_f64.scalbn(1).is_infinite()); + + assert!( + "0x1p+0" + .parse::<Double>() + .unwrap() + .bitwise_eq("0x1p+52".parse::<Double>().unwrap().scalbn(-52),) + ); + + assert!( + "0x1p-103" + .parse::<Double>() + .unwrap() + .bitwise_eq("0x1p-51".parse::<Double>().unwrap().scalbn(-52),) + ); +} + +#[test] +fn frexp() { + let p_zero = Double::ZERO; + let m_zero = -Double::ZERO; + let one = Double::from_f64(1.0); + let m_one = Double::from_f64(-1.0); + + let largest_denormal = "0x1.ffffffffffffep-1023".parse::<Double>().unwrap(); + let neg_largest_denormal = "-0x1.ffffffffffffep-1023".parse::<Double>().unwrap(); + + let smallest = Double::SMALLEST; + let neg_smallest = -Double::SMALLEST; + + let largest = Double::largest(); + let neg_largest = -Double::largest(); + + let p_inf = Double::INFINITY; + let m_inf = -Double::INFINITY; + + let p_qnan = Double::NAN; + let m_qnan = -Double::NAN; + let snan = Double::snan(None); + + // Make sure highest bit of payload is preserved. + let payload = (1 << 50) | (1 << 49) | (1234 << 32) | 1; + + let snan_with_payload = Double::snan(Some(payload)); + + let mut exp = 0; + + let frac = p_zero.frexp(&mut exp); + assert_eq!(0, exp); + assert!(frac.is_pos_zero()); + + let frac = m_zero.frexp(&mut exp); + assert_eq!(0, exp); + assert!(frac.is_neg_zero()); + + let frac = one.frexp(&mut exp); + assert_eq!(1, exp); + assert!("0x1p-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = m_one.frexp(&mut exp); + assert_eq!(1, exp); + assert!("-0x1p-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = largest_denormal.frexp(&mut exp); + assert_eq!(-1022, exp); + assert!("0x1.ffffffffffffep-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = neg_largest_denormal.frexp(&mut exp); + assert_eq!(-1022, exp); + assert!("-0x1.ffffffffffffep-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = smallest.frexp(&mut exp); + assert_eq!(-1073, exp); + assert!("0x1p-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = neg_smallest.frexp(&mut exp); + assert_eq!(-1073, exp); + assert!("-0x1p-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = largest.frexp(&mut exp); + assert_eq!(1024, exp); + assert!("0x1.fffffffffffffp-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = neg_largest.frexp(&mut exp); + assert_eq!(1024, exp); + assert!("-0x1.fffffffffffffp-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = p_inf.frexp(&mut exp); + assert_eq!(IEK_INF, exp); + assert!(frac.is_infinite() && !frac.is_negative()); + + let frac = m_inf.frexp(&mut exp); + assert_eq!(IEK_INF, exp); + assert!(frac.is_infinite() && frac.is_negative()); + + let frac = p_qnan.frexp(&mut exp); + assert_eq!(IEK_NAN, exp); + assert!(frac.is_nan()); + + let frac = m_qnan.frexp(&mut exp); + assert_eq!(IEK_NAN, exp); + assert!(frac.is_nan()); + + let frac = snan.frexp(&mut exp); + assert_eq!(IEK_NAN, exp); + assert!(frac.is_nan() && !frac.is_signaling()); + + let frac = snan_with_payload.frexp(&mut exp); + assert_eq!(IEK_NAN, exp); + assert!(frac.is_nan() && !frac.is_signaling()); + assert_eq!(payload, frac.to_bits() & ((1 << 51) - 1)); + + let frac = "0x0.ffffp-1".parse::<Double>().unwrap().frexp(&mut exp); + assert_eq!(-1, exp); + assert!("0x1.fffep-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = "0x1p-51".parse::<Double>().unwrap().frexp(&mut exp); + assert_eq!(-50, exp); + assert!("0x1p-1".parse::<Double>().unwrap().bitwise_eq(frac)); + + let frac = "0x1.c60f120d9f87cp+51".parse::<Double>().unwrap().frexp(&mut exp); + assert_eq!(52, exp); + assert!("0x1.c60f120d9f87cp-1".parse::<Double>().unwrap().bitwise_eq(frac)); +} + +#[test] +fn modulo() { + let mut status; + { + let f1 = "1.5".parse::<Double>().unwrap(); + let f2 = "1.0".parse::<Double>().unwrap(); + let expected = "0.5".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).bitwise_eq(expected)); + assert_eq!(status, Status::OK); + } + { + let f1 = "0.5".parse::<Double>().unwrap(); + let f2 = "1.0".parse::<Double>().unwrap(); + let expected = "0.5".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).bitwise_eq(expected)); + assert_eq!(status, Status::OK); + } + { + let f1 = "0x1.3333333333333p-2".parse::<Double>().unwrap(); // 0.3 + let f2 = "0x1.47ae147ae147bp-7".parse::<Double>().unwrap(); // 0.01 + // 0.009999999999999983 + let expected = "0x1.47ae147ae1471p-7".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).bitwise_eq(expected)); + assert_eq!(status, Status::OK); + } + { + let f1 = "0x1p64".parse::<Double>().unwrap(); // 1.8446744073709552e19 + let f2 = "1.5".parse::<Double>().unwrap(); + let expected = "1.0".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).bitwise_eq(expected)); + assert_eq!(status, Status::OK); + } + { + let f1 = "0x1p1000".parse::<Double>().unwrap(); + let f2 = "0x1p-1000".parse::<Double>().unwrap(); + let expected = "0.0".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).bitwise_eq(expected)); + assert_eq!(status, Status::OK); + } + { + let f1 = "0.0".parse::<Double>().unwrap(); + let f2 = "1.0".parse::<Double>().unwrap(); + let expected = "0.0".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).bitwise_eq(expected)); + assert_eq!(status, Status::OK); + } + { + let f1 = "1.0".parse::<Double>().unwrap(); + let f2 = "0.0".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).is_nan()); + assert_eq!(status, Status::INVALID_OP); + } + { + let f1 = "0.0".parse::<Double>().unwrap(); + let f2 = "0.0".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).is_nan()); + assert_eq!(status, Status::INVALID_OP); + } + { + let f1 = Double::INFINITY; + let f2 = "1.0".parse::<Double>().unwrap(); + assert!(unpack!(status=, f1 % f2).is_nan()); + assert_eq!(status, Status::INVALID_OP); + } +} |