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rust/compiler/rustc_apfloat/tests/ppc.rs

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use rustc_apfloat::ppc::DoubleDouble;
use rustc_apfloat::{Category, Float, Round};
use std::cmp::Ordering;
#[test]
fn ppc_double_double() {
let test = DoubleDouble::ZERO;
let expected = "0x0p+0".parse::<DoubleDouble>().unwrap();
assert!(test.is_zero());
assert!(!test.is_negative());
assert!(test.bitwise_eq(expected));
assert_eq!(0, test.to_bits());
let test = -DoubleDouble::ZERO;
let expected = "-0x0p+0".parse::<DoubleDouble>().unwrap();
assert!(test.is_zero());
assert!(test.is_negative());
assert!(test.bitwise_eq(expected));
assert_eq!(0x8000000000000000, test.to_bits());
let test = "1.0".parse::<DoubleDouble>().unwrap();
assert_eq!(0x3ff0000000000000, test.to_bits());
// LDBL_MAX
let test = "1.79769313486231580793728971405301e+308".parse::<DoubleDouble>().unwrap();
assert_eq!(0x7c8ffffffffffffe_7fefffffffffffff, test.to_bits());
// LDBL_MIN
let test = "2.00416836000897277799610805135016e-292".parse::<DoubleDouble>().unwrap();
assert_eq!(0x0000000000000000_0360000000000000, test.to_bits());
}
#[test]
fn ppc_double_double_add_special() {
let data = [
// (1 + 0) + (-1 + 0) = Category::Zero
(0x3ff0000000000000, 0xbff0000000000000, Category::Zero, Round::NearestTiesToEven),
// LDBL_MAX + (1.1 >> (1023 - 106) + 0)) = Category::Infinity
(
0x7c8ffffffffffffe_7fefffffffffffff,
0x7948000000000000,
Category::Infinity,
Round::NearestTiesToEven,
),
// FIXME: change the 4th 0x75effffffffffffe to 0x75efffffffffffff when
// DoubleDouble's fallback is gone.
// LDBL_MAX + (1.011111... >> (1023 - 106) + (1.1111111...0 >> (1023 -
// 160))) = Category::Normal
(
0x7c8ffffffffffffe_7fefffffffffffff,
0x75effffffffffffe_7947ffffffffffff,
Category::Normal,
Round::NearestTiesToEven,
),
// LDBL_MAX + (1.1 >> (1023 - 106) + 0)) = Category::Infinity
(
0x7c8ffffffffffffe_7fefffffffffffff,
0x7c8ffffffffffffe_7fefffffffffffff,
Category::Infinity,
Round::NearestTiesToEven,
),
// NaN + (1 + 0) = Category::NaN
(0x7ff8000000000000, 0x3ff0000000000000, Category::NaN, Round::NearestTiesToEven),
];
for (op1, op2, expected, round) in data {
{
let mut a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
a1 = a1.add_r(a2, round).value;
assert_eq!(expected, a1.category(), "{:#x} + {:#x}", op1, op2);
}
{
let a1 = DoubleDouble::from_bits(op1);
let mut a2 = DoubleDouble::from_bits(op2);
a2 = a2.add_r(a1, round).value;
assert_eq!(expected, a2.category(), "{:#x} + {:#x}", op2, op1);
}
}
}
#[test]
fn ppc_double_double_add() {
let data = [
// (1 + 0) + (1e-105 + 0) = (1 + 1e-105)
(
0x3ff0000000000000,
0x3960000000000000,
0x3960000000000000_3ff0000000000000,
Round::NearestTiesToEven,
),
// (1 + 0) + (1e-106 + 0) = (1 + 1e-106)
(
0x3ff0000000000000,
0x3950000000000000,
0x3950000000000000_3ff0000000000000,
Round::NearestTiesToEven,
),
// (1 + 1e-106) + (1e-106 + 0) = (1 + 1e-105)
(
0x3950000000000000_3ff0000000000000,
0x3950000000000000,
0x3960000000000000_3ff0000000000000,
Round::NearestTiesToEven,
),
// (1 + 0) + (epsilon + 0) = (1 + epsilon)
(
0x3ff0000000000000,
0x0000000000000001,
0x0000000000000001_3ff0000000000000,
Round::NearestTiesToEven,
),
// FIXME: change 0xf950000000000000 to 0xf940000000000000, when
// DoubleDouble's fallback is gone.
// (DBL_MAX - 1 << (1023 - 105)) + (1 << (1023 - 53) + 0) = DBL_MAX +
// 1.11111... << (1023 - 52)
(
0xf950000000000000_7fefffffffffffff,
0x7c90000000000000,
0x7c8ffffffffffffe_7fefffffffffffff,
Round::NearestTiesToEven,
),
// FIXME: change 0xf950000000000000 to 0xf940000000000000, when
// DoubleDouble's fallback is gone.
// (1 << (1023 - 53) + 0) + (DBL_MAX - 1 << (1023 - 105)) = DBL_MAX +
// 1.11111... << (1023 - 52)
(
0x7c90000000000000,
0xf950000000000000_7fefffffffffffff,
0x7c8ffffffffffffe_7fefffffffffffff,
Round::NearestTiesToEven,
),
];
for (op1, op2, expected, round) in data {
{
let mut a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
a1 = a1.add_r(a2, round).value;
assert_eq!(expected, a1.to_bits(), "{:#x} + {:#x}", op1, op2);
}
{
let a1 = DoubleDouble::from_bits(op1);
let mut a2 = DoubleDouble::from_bits(op2);
a2 = a2.add_r(a1, round).value;
assert_eq!(expected, a2.to_bits(), "{:#x} + {:#x}", op2, op1);
}
}
}
#[test]
fn ppc_double_double_subtract() {
let data = [
// (1 + 0) - (-1e-105 + 0) = (1 + 1e-105)
(
0x3ff0000000000000,
0xb960000000000000,
0x3960000000000000_3ff0000000000000,
Round::NearestTiesToEven,
),
// (1 + 0) - (-1e-106 + 0) = (1 + 1e-106)
(
0x3ff0000000000000,
0xb950000000000000,
0x3950000000000000_3ff0000000000000,
Round::NearestTiesToEven,
),
];
for (op1, op2, expected, round) in data {
let mut a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
a1 = a1.sub_r(a2, round).value;
assert_eq!(expected, a1.to_bits(), "{:#x} - {:#x}", op1, op2);
}
}
#[test]
fn ppc_double_double_multiply_special() {
let data = [
// Category::NaN * Category::NaN = Category::NaN
(0x7ff8000000000000, 0x7ff8000000000000, Category::NaN, Round::NearestTiesToEven),
// Category::NaN * Category::Zero = Category::NaN
(0x7ff8000000000000, 0, Category::NaN, Round::NearestTiesToEven),
// Category::NaN * Category::Infinity = Category::NaN
(0x7ff8000000000000, 0x7ff0000000000000, Category::NaN, Round::NearestTiesToEven),
// Category::NaN * Category::Normal = Category::NaN
(0x7ff8000000000000, 0x3ff0000000000000, Category::NaN, Round::NearestTiesToEven),
// Category::Infinity * Category::Infinity = Category::Infinity
(0x7ff0000000000000, 0x7ff0000000000000, Category::Infinity, Round::NearestTiesToEven),
// Category::Infinity * Category::Zero = Category::NaN
(0x7ff0000000000000, 0, Category::NaN, Round::NearestTiesToEven),
// Category::Infinity * Category::Normal = Category::Infinity
(0x7ff0000000000000, 0x3ff0000000000000, Category::Infinity, Round::NearestTiesToEven),
// Category::Zero * Category::Zero = Category::Zero
(0, 0, Category::Zero, Round::NearestTiesToEven),
// Category::Zero * Category::Normal = Category::Zero
(0, 0x3ff0000000000000, Category::Zero, Round::NearestTiesToEven),
];
for (op1, op2, expected, round) in data {
{
let mut a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
a1 = a1.mul_r(a2, round).value;
assert_eq!(expected, a1.category(), "{:#x} * {:#x}", op1, op2);
}
{
let a1 = DoubleDouble::from_bits(op1);
let mut a2 = DoubleDouble::from_bits(op2);
a2 = a2.mul_r(a1, round).value;
assert_eq!(expected, a2.category(), "{:#x} * {:#x}", op2, op1);
}
}
}
#[test]
fn ppc_double_double_multiply() {
let data = [
// 1/3 * 3 = 1.0
(
0x3c75555555555556_3fd5555555555555,
0x4008000000000000,
0x3ff0000000000000,
Round::NearestTiesToEven,
),
// (1 + epsilon) * (1 + 0) = Category::Zero
(
0x0000000000000001_3ff0000000000000,
0x3ff0000000000000,
0x0000000000000001_3ff0000000000000,
Round::NearestTiesToEven,
),
// (1 + epsilon) * (1 + epsilon) = 1 + 2 * epsilon
(
0x0000000000000001_3ff0000000000000,
0x0000000000000001_3ff0000000000000,
0x0000000000000002_3ff0000000000000,
Round::NearestTiesToEven,
),
// -(1 + epsilon) * (1 + epsilon) = -1
(
0x0000000000000001_bff0000000000000,
0x0000000000000001_3ff0000000000000,
0xbff0000000000000,
Round::NearestTiesToEven,
),
// (0.5 + 0) * (1 + 2 * epsilon) = 0.5 + epsilon
(
0x3fe0000000000000,
0x0000000000000002_3ff0000000000000,
0x0000000000000001_3fe0000000000000,
Round::NearestTiesToEven,
),
// (0.5 + 0) * (1 + epsilon) = 0.5
(
0x3fe0000000000000,
0x0000000000000001_3ff0000000000000,
0x3fe0000000000000,
Round::NearestTiesToEven,
),
// __LDBL_MAX__ * (1 + 1 << 106) = inf
(
0x7c8ffffffffffffe_7fefffffffffffff,
0x3950000000000000_3ff0000000000000,
0x7ff0000000000000,
Round::NearestTiesToEven,
),
// __LDBL_MAX__ * (1 + 1 << 107) > __LDBL_MAX__, but not inf, yes =_=|||
(
0x7c8ffffffffffffe_7fefffffffffffff,
0x3940000000000000_3ff0000000000000,
0x7c8fffffffffffff_7fefffffffffffff,
Round::NearestTiesToEven,
),
// __LDBL_MAX__ * (1 + 1 << 108) = __LDBL_MAX__
(
0x7c8ffffffffffffe_7fefffffffffffff,
0x3930000000000000_3ff0000000000000,
0x7c8ffffffffffffe_7fefffffffffffff,
Round::NearestTiesToEven,
),
];
for (op1, op2, expected, round) in data {
{
let mut a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
a1 = a1.mul_r(a2, round).value;
assert_eq!(expected, a1.to_bits(), "{:#x} * {:#x}", op1, op2);
}
{
let a1 = DoubleDouble::from_bits(op1);
let mut a2 = DoubleDouble::from_bits(op2);
a2 = a2.mul_r(a1, round).value;
assert_eq!(expected, a2.to_bits(), "{:#x} * {:#x}", op2, op1);
}
}
}
#[test]
fn ppc_double_double_divide() {
// FIXME: Only a sanity check for now. Add more edge cases when the
// double-double algorithm is implemented.
let data = [
// 1 / 3 = 1/3
(
0x3ff0000000000000,
0x4008000000000000,
0x3c75555555555556_3fd5555555555555,
Round::NearestTiesToEven,
),
];
for (op1, op2, expected, round) in data {
let mut a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
a1 = a1.div_r(a2, round).value;
assert_eq!(expected, a1.to_bits(), "{:#x} / {:#x}", op1, op2);
}
}
#[test]
fn ppc_double_double_remainder() {
let data = [
// ieee_rem(3.0 + 3.0 << 53, 1.25 + 1.25 << 53) = (0.5 + 0.5 << 53)
(
0x3cb8000000000000_4008000000000000,
0x3ca4000000000000_3ff4000000000000,
0x3c90000000000000_3fe0000000000000,
),
// ieee_rem(3.0 + 3.0 << 53, 1.75 + 1.75 << 53) = (-0.5 - 0.5 << 53)
(
0x3cb8000000000000_4008000000000000,
0x3cac000000000000_3ffc000000000000,
0xbc90000000000000_bfe0000000000000,
),
];
for (op1, op2, expected) in data {
let a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
let result = a1.ieee_rem(a2).value;
assert_eq!(expected, result.to_bits(), "ieee_rem({:#x}, {:#x})", op1, op2);
}
}
#[test]
fn ppc_double_double_mod() {
let data = [
// mod(3.0 + 3.0 << 53, 1.25 + 1.25 << 53) = (0.5 + 0.5 << 53)
(
0x3cb8000000000000_4008000000000000,
0x3ca4000000000000_3ff4000000000000,
0x3c90000000000000_3fe0000000000000,
),
// mod(3.0 + 3.0 << 53, 1.75 + 1.75 << 53) = (1.25 + 1.25 << 53)
// 0xbc98000000000000 doesn't seem right, but it's what we currently have.
// FIXME: investigate
(
0x3cb8000000000000_4008000000000000,
0x3cac000000000000_3ffc000000000000,
0xbc98000000000000_3ff4000000000001,
),
];
for (op1, op2, expected) in data {
let a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
let r = (a1 % a2).value;
assert_eq!(expected, r.to_bits(), "fmod({:#x}, {:#x})", op1, op2);
}
}
#[test]
fn ppc_double_double_fma() {
// Sanity check for now.
let mut a = "2".parse::<DoubleDouble>().unwrap();
a = a.mul_add("3".parse::<DoubleDouble>().unwrap(), "4".parse::<DoubleDouble>().unwrap()).value;
assert_eq!(Some(Ordering::Equal), "10".parse::<DoubleDouble>().unwrap().partial_cmp(&a));
}
#[test]
fn ppc_double_double_round_to_integral() {
{
let a = "1.5".parse::<DoubleDouble>().unwrap();
let a = a.round_to_integral(Round::NearestTiesToEven).value;
assert_eq!(Some(Ordering::Equal), "2".parse::<DoubleDouble>().unwrap().partial_cmp(&a));
}
{
let a = "2.5".parse::<DoubleDouble>().unwrap();
let a = a.round_to_integral(Round::NearestTiesToEven).value;
assert_eq!(Some(Ordering::Equal), "2".parse::<DoubleDouble>().unwrap().partial_cmp(&a));
}
}
#[test]
fn ppc_double_double_compare() {
let data = [
// (1 + 0) = (1 + 0)
(0x3ff0000000000000, 0x3ff0000000000000, Some(Ordering::Equal)),
// (1 + 0) < (1.00...1 + 0)
(0x3ff0000000000000, 0x3ff0000000000001, Some(Ordering::Less)),
// (1.00...1 + 0) > (1 + 0)
(0x3ff0000000000001, 0x3ff0000000000000, Some(Ordering::Greater)),
// (1 + 0) < (1 + epsilon)
(0x3ff0000000000000, 0x0000000000000001_3ff0000000000001, Some(Ordering::Less)),
// NaN != NaN
(0x7ff8000000000000, 0x7ff8000000000000, None),
// (1 + 0) != NaN
(0x3ff0000000000000, 0x7ff8000000000000, None),
// Inf = Inf
(0x7ff0000000000000, 0x7ff0000000000000, Some(Ordering::Equal)),
];
for (op1, op2, expected) in data {
let a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
assert_eq!(expected, a1.partial_cmp(&a2), "compare({:#x}, {:#x})", op1, op2,);
}
}
#[test]
fn ppc_double_double_bitwise_eq() {
let data = [
// (1 + 0) = (1 + 0)
(0x3ff0000000000000, 0x3ff0000000000000, true),
// (1 + 0) != (1.00...1 + 0)
(0x3ff0000000000000, 0x3ff0000000000001, false),
// NaN = NaN
(0x7ff8000000000000, 0x7ff8000000000000, true),
// NaN != NaN with a different bit pattern
(0x7ff8000000000000, 0x3ff0000000000000_7ff8000000000000, false),
// Inf = Inf
(0x7ff0000000000000, 0x7ff0000000000000, true),
];
for (op1, op2, expected) in data {
let a1 = DoubleDouble::from_bits(op1);
let a2 = DoubleDouble::from_bits(op2);
assert_eq!(expected, a1.bitwise_eq(a2), "{:#x} = {:#x}", op1, op2);
}
}
#[test]
fn ppc_double_double_change_sign() {
let float = DoubleDouble::from_bits(0xbcb0000000000000_400f000000000000);
{
let actual = float.copy_sign("1".parse::<DoubleDouble>().unwrap());
assert_eq!(0xbcb0000000000000_400f000000000000, actual.to_bits());
}
{
let actual = float.copy_sign("-1".parse::<DoubleDouble>().unwrap());
assert_eq!(0x3cb0000000000000_c00f000000000000, actual.to_bits());
}
}
#[test]
fn ppc_double_double_factories() {
assert_eq!(0, DoubleDouble::ZERO.to_bits());
assert_eq!(0x7c8ffffffffffffe_7fefffffffffffff, DoubleDouble::largest().to_bits());
assert_eq!(0x0000000000000001, DoubleDouble::SMALLEST.to_bits());
assert_eq!(0x0360000000000000, DoubleDouble::smallest_normalized().to_bits());
assert_eq!(0x0000000000000000_8000000000000000, (-DoubleDouble::ZERO).to_bits());
assert_eq!(0xfc8ffffffffffffe_ffefffffffffffff, (-DoubleDouble::largest()).to_bits());
assert_eq!(0x0000000000000000_8000000000000001, (-DoubleDouble::SMALLEST).to_bits());
assert_eq!(
0x0000000000000000_8360000000000000,
(-DoubleDouble::smallest_normalized()).to_bits()
);
assert!(DoubleDouble::SMALLEST.is_smallest());
assert!(DoubleDouble::largest().is_largest());
}
#[test]
fn ppc_double_double_is_denormal() {
assert!(DoubleDouble::SMALLEST.is_denormal());
assert!(!DoubleDouble::largest().is_denormal());
assert!(!DoubleDouble::smallest_normalized().is_denormal());
{
// (4 + 3) is not normalized
let data = 0x4008000000000000_4010000000000000;
assert!(DoubleDouble::from_bits(data).is_denormal());
}
}
#[test]
fn ppc_double_double_exact_inverse() {
assert!(
"2.0"
.parse::<DoubleDouble>()
.unwrap()
.get_exact_inverse()
.unwrap()
.bitwise_eq("0.5".parse::<DoubleDouble>().unwrap())
);
}
#[test]
fn ppc_double_double_scalbn() {
// 3.0 + 3.0 << 53
let input = 0x3cb8000000000000_4008000000000000;
let result = DoubleDouble::from_bits(input).scalbn(1);
// 6.0 + 6.0 << 53
assert_eq!(0x3cc8000000000000_4018000000000000, result.to_bits());
}
#[test]
fn ppc_double_double_frexp() {
// 3.0 + 3.0 << 53
let input = 0x3cb8000000000000_4008000000000000;
let mut exp = 0;
// 0.75 + 0.75 << 53
let result = DoubleDouble::from_bits(input).frexp(&mut exp);
assert_eq!(2, exp);
assert_eq!(0x3c98000000000000_3fe8000000000000, result.to_bits());
}
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