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// 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);
ass