mirror of
https://github.com/rust-lang/rust.git
synced 2025-04-13 20:46:48 +00:00
Auto merge of #113843 - wesleywiser:replace_rustc_apfloat, r=pnkfelix
Replace in-tree `rustc_apfloat` with the new version of the crate Replace the in-tree version of `rustc_apfloat` with the new version of the crate which has been correctly licensed. The new crate incorporates upstream changes from LLVM since the original port was done including many correctness fixes and has been extensively fuzz tested to validate correctness. Fixes #100233 Fixes #102403 Fixes #113407 Fixes #113409 Fixes #55993 Fixes #93224 Closes #93225 Closes #109573
This commit is contained in:
commit
0d95f91329
@ -38,11 +38,6 @@ Files: compiler/*
|
||||
Copyright: The Rust Project Developers (see https://thanks.rust-lang.org)
|
||||
License: MIT or Apache-2.0
|
||||
|
||||
Files: compiler/rustc_apfloat/*
|
||||
Copyright: LLVM APFloat authors
|
||||
The Rust Project Developers (see https://thanks.rust-lang.org)
|
||||
License: NCSA AND (MIT OR Apache-2.0)
|
||||
|
||||
Files: compiler/rustc_codegen_cranelift/src/cranelift_native.rs
|
||||
Copyright: The Cranelift Project Developers
|
||||
The Rust Project Developers (see https://thanks.rust-lang.org)
|
||||
|
@ -3135,7 +3135,9 @@ dependencies = [
|
||||
|
||||
[[package]]
|
||||
name = "rustc_apfloat"
|
||||
version = "0.0.0"
|
||||
version = "0.2.0+llvm-462a31f5a5ab"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "465187772033a5ee566f69fe008df03628fce549a0899aae76f0a0c2e34696be"
|
||||
dependencies = [
|
||||
"bitflags 1.3.2",
|
||||
"smallvec",
|
||||
@ -4725,9 +4727,9 @@ dependencies = [
|
||||
|
||||
[[package]]
|
||||
name = "smallvec"
|
||||
version = "1.10.0"
|
||||
version = "1.11.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "a507befe795404456341dfab10cef66ead4c041f62b8b11bbb92bffe5d0953e0"
|
||||
checksum = "62bb4feee49fdd9f707ef802e22365a35de4b7b299de4763d44bfea899442ff9"
|
||||
|
||||
[[package]]
|
||||
name = "snap"
|
||||
|
@ -1,15 +0,0 @@
|
||||
University of Illinois/NCSA Open Source License
|
||||
|
||||
Copyright (c) <Year> <Owner Organization Name>. All rights reserved.
|
||||
|
||||
Developed by: <Name of Development Group> <Name of Institution> <URL for Development Group/Institution>
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal with the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
|
||||
|
||||
* Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimers.
|
||||
|
||||
* Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimers in the documentation and/or other materials provided with the distribution.
|
||||
|
||||
* Neither the names of <Name of Development Group, Name of Institution>, nor the names of its contributors may be used to endorse or promote products derived from this Software without specific prior written permission.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE SOFTWARE.
|
@ -1,8 +0,0 @@
|
||||
[package]
|
||||
name = "rustc_apfloat"
|
||||
version = "0.0.0"
|
||||
edition = "2021"
|
||||
|
||||
[dependencies]
|
||||
bitflags = "1.2.1"
|
||||
smallvec = { version = "1.8.1", features = ["union", "may_dangle"] }
|
File diff suppressed because it is too large
Load Diff
@ -1,695 +0,0 @@
|
||||
//! Port of LLVM's APFloat software floating-point implementation from the
|
||||
//! following C++ sources (please update commit hash when backporting):
|
||||
//! <https://github.com/llvm-mirror/llvm/tree/23efab2bbd424ed13495a420ad8641cb2c6c28f9>
|
||||
//!
|
||||
//! * `include/llvm/ADT/APFloat.h` -> `Float` and `FloatConvert` traits
|
||||
//! * `lib/Support/APFloat.cpp` -> `ieee` and `ppc` modules
|
||||
//! * `unittests/ADT/APFloatTest.cpp` -> `tests` directory
|
||||
//!
|
||||
//! The port contains no unsafe code, global state, or side-effects in general,
|
||||
//! and the only allocations are in the conversion to/from decimal strings.
|
||||
//!
|
||||
//! Most of the API and the testcases are intact in some form or another,
|
||||
//! with some ergonomic changes, such as idiomatic short names, returning
|
||||
//! new values instead of mutating the receiver, and having separate method
|
||||
//! variants that take a non-default rounding mode (with the suffix `_r`).
|
||||
//! Comments have been preserved where possible, only slightly adapted.
|
||||
//!
|
||||
//! Instead of keeping a pointer to a configuration struct and inspecting it
|
||||
//! dynamically on every operation, types (e.g., `ieee::Double`), traits
|
||||
//! (e.g., `ieee::Semantics`) and associated constants are employed for
|
||||
//! increased type safety and performance.
|
||||
//!
|
||||
//! On-heap bigints are replaced everywhere (except in decimal conversion),
|
||||
//! with short arrays of `type Limb = u128` elements (instead of `u64`),
|
||||
//! This allows fitting the largest supported significands in one integer
|
||||
//! (`ieee::Quad` and `ppc::Fallback` use slightly less than 128 bits).
|
||||
//! All of the functions in the `ieee::sig` module operate on slices.
|
||||
//!
|
||||
//! # Note
|
||||
//!
|
||||
//! This API is completely unstable and subject to change.
|
||||
|
||||
#![doc(html_root_url = "https://doc.rust-lang.org/nightly/nightly-rustc/")]
|
||||
#![no_std]
|
||||
#![forbid(unsafe_code)]
|
||||
#![deny(rustc::untranslatable_diagnostic)]
|
||||
#![deny(rustc::diagnostic_outside_of_impl)]
|
||||
|
||||
#[macro_use]
|
||||
extern crate alloc;
|
||||
|
||||
use core::cmp::Ordering;
|
||||
use core::fmt;
|
||||
use core::ops::{Add, Div, Mul, Neg, Rem, Sub};
|
||||
use core::ops::{AddAssign, DivAssign, MulAssign, RemAssign, SubAssign};
|
||||
use core::str::FromStr;
|
||||
|
||||
bitflags::bitflags! {
|
||||
/// IEEE-754R 7: Default exception handling.
|
||||
///
|
||||
/// UNDERFLOW or OVERFLOW are always returned or-ed with INEXACT.
|
||||
#[must_use]
|
||||
pub struct Status: u8 {
|
||||
const OK = 0x00;
|
||||
const INVALID_OP = 0x01;
|
||||
const DIV_BY_ZERO = 0x02;
|
||||
const OVERFLOW = 0x04;
|
||||
const UNDERFLOW = 0x08;
|
||||
const INEXACT = 0x10;
|
||||
}
|
||||
}
|
||||
|
||||
#[must_use]
|
||||
#[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Debug)]
|
||||
pub struct StatusAnd<T> {
|
||||
pub status: Status,
|
||||
pub value: T,
|
||||
}
|
||||
|
||||
impl Status {
|
||||
pub fn and<T>(self, value: T) -> StatusAnd<T> {
|
||||
StatusAnd { status: self, value }
|
||||
}
|
||||
}
|
||||
|
||||
impl<T> StatusAnd<T> {
|
||||
pub fn map<F: FnOnce(T) -> U, U>(self, f: F) -> StatusAnd<U> {
|
||||
StatusAnd { status: self.status, value: f(self.value) }
|
||||
}
|
||||
}
|
||||
|
||||
#[macro_export]
|
||||
macro_rules! unpack {
|
||||
($status:ident|=, $e:expr) => {
|
||||
match $e {
|
||||
$crate::StatusAnd { status, value } => {
|
||||
$status |= status;
|
||||
value
|
||||
}
|
||||
}
|
||||
};
|
||||
($status:ident=, $e:expr) => {
|
||||
match $e {
|
||||
$crate::StatusAnd { status, value } => {
|
||||
$status = status;
|
||||
value
|
||||
}
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
/// Category of internally-represented number.
|
||||
#[derive(Copy, Clone, PartialEq, Eq, Debug)]
|
||||
pub enum Category {
|
||||
Infinity,
|
||||
NaN,
|
||||
Normal,
|
||||
Zero,
|
||||
}
|
||||
|
||||
/// IEEE-754R 4.3: Rounding-direction attributes.
|
||||
#[derive(Copy, Clone, PartialEq, Eq, Debug)]
|
||||
pub enum Round {
|
||||
NearestTiesToEven,
|
||||
TowardPositive,
|
||||
TowardNegative,
|
||||
TowardZero,
|
||||
NearestTiesToAway,
|
||||
}
|
||||
|
||||
impl Neg for Round {
|
||||
type Output = Round;
|
||||
fn neg(self) -> Round {
|
||||
match self {
|
||||
Round::TowardPositive => Round::TowardNegative,
|
||||
Round::TowardNegative => Round::TowardPositive,
|
||||
Round::NearestTiesToEven | Round::TowardZero | Round::NearestTiesToAway => self,
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// A signed type to represent a floating point number's unbiased exponent.
|
||||
pub type ExpInt = i16;
|
||||
|
||||
// \c ilogb error results.
|
||||
pub const IEK_INF: ExpInt = ExpInt::MAX;
|
||||
pub const IEK_NAN: ExpInt = ExpInt::MIN;
|
||||
pub const IEK_ZERO: ExpInt = ExpInt::MIN + 1;
|
||||
|
||||
#[derive(Copy, Clone, PartialEq, Eq, Debug)]
|
||||
pub struct ParseError(pub &'static str);
|
||||
|
||||
/// A self-contained host- and target-independent arbitrary-precision
|
||||
/// floating-point software implementation.
|
||||
///
|
||||
/// `apfloat` uses significand bignum integer arithmetic as provided by functions
|
||||
/// in the `ieee::sig`.
|
||||
///
|
||||
/// Written for clarity rather than speed, in particular with a view to use in
|
||||
/// the front-end of a cross compiler so that target arithmetic can be correctly
|
||||
/// performed on the host. Performance should nonetheless be reasonable,
|
||||
/// particularly for its intended use. It may be useful as a base
|
||||
/// implementation for a run-time library during development of a faster
|
||||
/// target-specific one.
|
||||
///
|
||||
/// All 5 rounding modes in the IEEE-754R draft are handled correctly for all
|
||||
/// implemented operations. Currently implemented operations are add, subtract,
|
||||
/// multiply, divide, fused-multiply-add, conversion-to-float,
|
||||
/// conversion-to-integer and conversion-from-integer. New rounding modes
|
||||
/// (e.g., away from zero) can be added with three or four lines of code.
|
||||
///
|
||||
/// Four formats are built-in: IEEE single precision, double precision,
|
||||
/// quadruple precision, and x87 80-bit extended double (when operating with
|
||||
/// full extended precision). Adding a new format that obeys IEEE semantics
|
||||
/// only requires adding two lines of code: a declaration and definition of the
|
||||
/// format.
|
||||
///
|
||||
/// All operations return the status of that operation as an exception bit-mask,
|
||||
/// so multiple operations can be done consecutively with their results or-ed
|
||||
/// together. The returned status can be useful for compiler diagnostics; e.g.,
|
||||
/// inexact, underflow and overflow can be easily diagnosed on constant folding,
|
||||
/// and compiler optimizers can determine what exceptions would be raised by
|
||||
/// folding operations and optimize, or perhaps not optimize, accordingly.
|
||||
///
|
||||
/// At present, underflow tininess is detected after rounding; it should be
|
||||
/// straight forward to add support for the before-rounding case too.
|
||||
///
|
||||
/// The library reads hexadecimal floating point numbers as per C99, and
|
||||
/// correctly rounds if necessary according to the specified rounding mode.
|
||||
/// Syntax is required to have been validated by the caller.
|
||||
///
|
||||
/// It also reads decimal floating point numbers and correctly rounds according
|
||||
/// to the specified rounding mode.
|
||||
///
|
||||
/// Non-zero finite numbers are represented internally as a sign bit, a 16-bit
|
||||
/// signed exponent, and the significand as an array of integer limbs. After
|
||||
/// normalization of a number of precision P the exponent is within the range of
|
||||
/// the format, and if the number is not denormal the P-th bit of the
|
||||
/// significand is set as an explicit integer bit. For denormals the most
|
||||
/// significant bit is shifted right so that the exponent is maintained at the
|
||||
/// format's minimum, so that the smallest denormal has just the least
|
||||
/// significant bit of the significand set. The sign of zeros and infinities
|
||||
/// is significant; the exponent and significand of such numbers is not stored,
|
||||
/// but has a known implicit (deterministic) value: 0 for the significands, 0
|
||||
/// for zero exponent, all 1 bits for infinity exponent. For NaNs the sign and
|
||||
/// significand are deterministic, although not really meaningful, and preserved
|
||||
/// in non-conversion operations. The exponent is implicitly all 1 bits.
|
||||
///
|
||||
/// `apfloat` does not provide any exception handling beyond default exception
|
||||
/// handling. We represent Signaling NaNs via IEEE-754R 2008 6.2.1 should clause
|
||||
/// by encoding Signaling NaNs with the first bit of its trailing significand
|
||||
/// as 0.
|
||||
///
|
||||
/// Future work
|
||||
/// ===========
|
||||
///
|
||||
/// Some features that may or may not be worth adding:
|
||||
///
|
||||
/// Optional ability to detect underflow tininess before rounding.
|
||||
///
|
||||
/// New formats: x87 in single and double precision mode (IEEE apart from
|
||||
/// extended exponent range) (hard).
|
||||
///
|
||||
/// New operations: sqrt, nexttoward.
|
||||
///
|
||||
pub trait Float:
|
||||
Copy
|
||||
+ Default
|
||||
+ FromStr<Err = ParseError>
|
||||
+ PartialOrd
|
||||
+ fmt::Display
|
||||
+ Neg<Output = Self>
|
||||
+ AddAssign
|
||||
+ SubAssign
|
||||
+ MulAssign
|
||||
+ DivAssign
|
||||
+ RemAssign
|
||||
+ Add<Output = StatusAnd<Self>>
|
||||
+ Sub<Output = StatusAnd<Self>>
|
||||
+ Mul<Output = StatusAnd<Self>>
|
||||
+ Div<Output = StatusAnd<Self>>
|
||||
+ Rem<Output = StatusAnd<Self>>
|
||||
{
|
||||
/// Total number of bits in the in-memory format.
|
||||
const BITS: usize;
|
||||
|
||||
/// Number of bits in the significand. This includes the integer bit.
|
||||
const PRECISION: usize;
|
||||
|
||||
/// The largest E such that 2<sup>E</sup> is representable; this matches the
|
||||
/// definition of IEEE 754.
|
||||
const MAX_EXP: ExpInt;
|
||||
|
||||
/// The smallest E such that 2<sup>E</sup> is a normalized number; this
|
||||
/// matches the definition of IEEE 754.
|
||||
const MIN_EXP: ExpInt;
|
||||
|
||||
/// Positive Zero.
|
||||
const ZERO: Self;
|
||||
|
||||
/// Positive Infinity.
|
||||
const INFINITY: Self;
|
||||
|
||||
/// NaN (Not a Number).
|
||||
// FIXME(eddyb) provide a default when qnan becomes const fn.
|
||||
const NAN: Self;
|
||||
|
||||
/// Factory for QNaN values.
|
||||
// FIXME(eddyb) should be const fn.
|
||||
fn qnan(payload: Option<u128>) -> Self;
|
||||
|
||||
/// Factory for SNaN values.
|
||||
// FIXME(eddyb) should be const fn.
|
||||
fn snan(payload: Option<u128>) -> Self;
|
||||
|
||||
/// Largest finite number.
|
||||
// FIXME(eddyb) should be const (but FloatPair::largest is nontrivial).
|
||||
fn largest() -> Self;
|
||||
|
||||
/// Smallest (by magnitude) finite number.
|
||||
/// Might be denormalized, which implies a relative loss of precision.
|
||||
const SMALLEST: Self;
|
||||
|
||||
/// Smallest (by magnitude) normalized finite number.
|
||||
// FIXME(eddyb) should be const (but FloatPair::smallest_normalized is nontrivial).
|
||||
fn smallest_normalized() -> Self;
|
||||
|
||||
// Arithmetic
|
||||
|
||||
fn add_r(self, rhs: Self, round: Round) -> StatusAnd<Self>;
|
||||
fn sub_r(self, rhs: Self, round: Round) -> StatusAnd<Self> {
|
||||
self.add_r(-rhs, round)
|
||||
}
|
||||
fn mul_r(self, rhs: Self, round: Round) -> StatusAnd<Self>;
|
||||
fn mul_add_r(self, multiplicand: Self, addend: Self, round: Round) -> StatusAnd<Self>;
|
||||
fn mul_add(self, multiplicand: Self, addend: Self) -> StatusAnd<Self> {
|
||||
self.mul_add_r(multiplicand, addend, Round::NearestTiesToEven)
|
||||
}
|
||||
fn div_r(self, rhs: Self, round: Round) -> StatusAnd<Self>;
|
||||
/// IEEE remainder.
|
||||
// This is not currently correct in all cases.
|
||||
fn ieee_rem(self, rhs: Self) -> StatusAnd<Self> {
|
||||
let mut v = self;
|
||||
|
||||
let status;
|
||||
v = unpack!(status=, v / rhs);
|
||||
if status == Status::DIV_BY_ZERO {
|
||||
return status.and(self);
|
||||
}
|
||||
|
||||
assert!(Self::PRECISION < 128);
|
||||
|
||||
let status;
|
||||
let x = unpack!(status=, v.to_i128_r(128, Round::NearestTiesToEven, &mut false));
|
||||
if status == Status::INVALID_OP {
|
||||
return status.and(self);
|
||||
}
|
||||
|
||||
let status;
|
||||
let mut v = unpack!(status=, Self::from_i128(x));
|
||||
assert_eq!(status, Status::OK); // should always work
|
||||
|
||||
let status;
|
||||
v = unpack!(status=, v * rhs);
|
||||
assert_eq!(status - Status::INEXACT, Status::OK); // should not overflow or underflow
|
||||
|
||||
let status;
|
||||
v = unpack!(status=, self - v);
|
||||
assert_eq!(status - Status::INEXACT, Status::OK); // likewise
|
||||
|
||||
if v.is_zero() {
|
||||
status.and(v.copy_sign(self)) // IEEE754 requires this
|
||||
} else {
|
||||
status.and(v)
|
||||
}
|
||||
}
|
||||
/// C fmod, or llvm frem.
|
||||
fn c_fmod(self, rhs: Self) -> StatusAnd<Self>;
|
||||
fn round_to_integral(self, round: Round) -> StatusAnd<Self>;
|
||||
|
||||
/// IEEE-754R 2008 5.3.1: nextUp.
|
||||
fn next_up(self) -> StatusAnd<Self>;
|
||||
|
||||
/// IEEE-754R 2008 5.3.1: nextDown.
|
||||
///
|
||||
/// *NOTE* since nextDown(x) = -nextUp(-x), we only implement nextUp with
|
||||
/// appropriate sign switching before/after the computation.
|
||||
fn next_down(self) -> StatusAnd<Self> {
|
||||
(-self).next_up().map(|r| -r)
|
||||
}
|
||||
|
||||
fn abs(self) -> Self {
|
||||
if self.is_negative() { -self } else { self }
|
||||
}
|
||||
fn copy_sign(self, rhs: Self) -> Self {
|
||||
if self.is_negative() != rhs.is_negative() { -self } else { self }
|
||||
}
|
||||
|
||||
// Conversions
|
||||
fn from_bits(input: u128) -> Self;
|
||||
fn from_i128_r(input: i128, round: Round) -> StatusAnd<Self> {
|
||||
if input < 0 {
|
||||
Self::from_u128_r(input.wrapping_neg() as u128, -round).map(|r| -r)
|
||||
} else {
|
||||
Self::from_u128_r(input as u128, round)
|
||||
}
|
||||
}
|
||||
fn from_i128(input: i128) -> StatusAnd<Self> {
|
||||
Self::from_i128_r(input, Round::NearestTiesToEven)
|
||||
}
|
||||
fn from_u128_r(input: u128, round: Round) -> StatusAnd<Self>;
|
||||
fn from_u128(input: u128) -> StatusAnd<Self> {
|
||||
Self::from_u128_r(input, Round::NearestTiesToEven)
|
||||
}
|
||||
fn from_str_r(s: &str, round: Round) -> Result<StatusAnd<Self>, ParseError>;
|
||||
fn to_bits(self) -> u128;
|
||||
|
||||
/// Converts a floating point number to an integer according to the
|
||||
/// rounding mode. In case of an invalid operation exception,
|
||||
/// deterministic values are returned, namely zero for NaNs and the
|
||||
/// minimal or maximal value respectively for underflow or overflow.
|
||||
/// If the rounded value is in range but the floating point number is
|
||||
/// not the exact integer, the C standard doesn't require an inexact
|
||||
/// exception to be raised. IEEE-854 does require it so we do that.
|
||||
///
|
||||
/// Note that for conversions to integer type the C standard requires
|
||||
/// round-to-zero to always be used.
|
||||
///
|
||||
/// The *is_exact output tells whether the result is exact, in the sense
|
||||
/// that converting it back to the original floating point type produces
|
||||
/// the original value. This is almost equivalent to `result == Status::OK`,
|
||||
/// except for negative zeroes.
|
||||
fn to_i128_r(self, width: usize, round: Round, is_exact: &mut bool) -> StatusAnd<i128> {
|
||||
let status;
|
||||
if self.is_negative() {
|
||||
if self.is_zero() {
|
||||
// Negative zero can't be represented as an int.
|
||||
*is_exact = false;
|
||||
}
|
||||
let r = unpack!(status=, (-self).to_u128_r(width, -round, is_exact));
|
||||
|
||||
// Check for values that don't fit in the signed integer.
|
||||
if r > (1 << (width - 1)) {
|
||||
// Return the most negative integer for the given width.
|
||||
*is_exact = false;
|
||||
Status::INVALID_OP.and(-1 << (width - 1))
|
||||
} else {
|
||||
status.and(r.wrapping_neg() as i128)
|
||||
}
|
||||
} else {
|
||||
// Positive case is simpler, can pretend it's a smaller unsigned
|
||||
// integer, and `to_u128` will take care of all the edge cases.
|
||||
self.to_u128_r(width - 1, round, is_exact).map(|r| r as i128)
|
||||
}
|
||||
}
|
||||
fn to_i128(self, width: usize) -> StatusAnd<i128> {
|
||||
self.to_i128_r(width, Round::TowardZero, &mut true)
|
||||
}
|
||||
fn to_u128_r(self, width: usize, round: Round, is_exact: &mut bool) -> StatusAnd<u128>;
|
||||
fn to_u128(self, width: usize) -> StatusAnd<u128> {
|
||||
self.to_u128_r(width, Round::TowardZero, &mut true)
|
||||
}
|
||||
|
||||
fn cmp_abs_normal(self, rhs: Self) -> Ordering;
|
||||
|
||||
/// Bitwise comparison for equality (QNaNs compare equal, 0!=-0).
|
||||
fn bitwise_eq(self, rhs: Self) -> bool;
|
||||
|
||||
// IEEE-754R 5.7.2 General operations.
|
||||
|
||||
/// Implements IEEE minNum semantics. Returns the smaller of the 2 arguments if
|
||||
/// both are not NaN. If either argument is a NaN, returns the other argument.
|
||||
fn min(self, other: Self) -> Self {
|
||||
if self.is_nan() {
|
||||
other
|
||||
} else if other.is_nan() {
|
||||
self
|
||||
} else if other.partial_cmp(&self) == Some(Ordering::Less) {
|
||||
other
|
||||
} else {
|
||||
self
|
||||
}
|
||||
}
|
||||
|
||||
/// Implements IEEE maxNum semantics. Returns the larger of the 2 arguments if
|
||||
/// both are not NaN. If either argument is a NaN, returns the other argument.
|
||||
fn max(self, other: Self) -> Self {
|
||||
if self.is_nan() {
|
||||
other
|
||||
} else if other.is_nan() {
|
||||
self
|
||||
} else if self.partial_cmp(&other) == Some(Ordering::Less) {
|
||||
other
|
||||
} else {
|
||||
self
|
||||
}
|
||||
}
|
||||
|
||||
/// IEEE-754R isSignMinus: Returns whether the current value is
|
||||
/// negative.
|
||||
///
|
||||
/// This applies to zeros and NaNs as well.
|
||||
fn is_negative(self) -> bool;
|
||||
|
||||
/// IEEE-754R isNormal: Returns whether the current value is normal.
|
||||
///
|
||||
/// This implies that the current value of the float is not zero, subnormal,
|
||||
/// infinite, or NaN following the definition of normality from IEEE-754R.
|
||||
fn is_normal(self) -> bool {
|
||||
!self.is_denormal() && self.is_finite_non_zero()
|
||||
}
|
||||
|
||||
/// Returns `true` if the current value is zero, subnormal, or
|
||||
/// normal.
|
||||
///
|
||||
/// This means that the value is not infinite or NaN.
|
||||
fn is_finite(self) -> bool {
|
||||
!self.is_nan() && !self.is_infinite()
|
||||
}
|
||||
|
||||
/// Returns `true` if the float is plus or minus zero.
|
||||
fn is_zero(self) -> bool {
|
||||
self.category() == Category::Zero
|
||||
}
|
||||
|
||||
/// IEEE-754R isSubnormal(): Returns whether the float is a
|
||||
/// denormal.
|
||||
fn is_denormal(self) -> bool;
|
||||
|
||||
/// IEEE-754R isInfinite(): Returns whether the float is infinity.
|
||||
fn is_infinite(self) -> bool {
|
||||
self.category() == Category::Infinity
|
||||
}
|
||||
|
||||
/// Returns `true` if the float is a quiet or signaling NaN.
|
||||
fn is_nan(self) -> bool {
|
||||
self.category() == Category::NaN
|
||||
}
|
||||
|
||||
/// Returns `true` if the float is a signaling NaN.
|
||||
fn is_signaling(self) -> bool;
|
||||
|
||||
// Simple Queries
|
||||
|
||||
fn category(self) -> Category;
|
||||
fn is_non_zero(self) -> bool {
|
||||
!self.is_zero()
|
||||
}
|
||||
fn is_finite_non_zero(self) -> bool {
|
||||
self.is_finite() && !self.is_zero()
|
||||
}
|
||||
fn is_pos_zero(self) -> bool {
|
||||
self.is_zero() && !self.is_negative()
|
||||
}
|
||||
fn is_neg_zero(self) -> bool {
|
||||
self.is_zero() && self.is_negative()
|
||||
}
|
||||
|
||||
/// Returns `true` if the number has the smallest possible non-zero
|
||||
/// magnitude in the current semantics.
|
||||
fn is_smallest(self) -> bool {
|
||||
Self::SMALLEST.copy_sign(self).bitwise_eq(self)
|
||||
}
|
||||
|
||||
/// Returns `true` if the number has the largest possible finite
|
||||
/// magnitude in the current semantics.
|
||||
fn is_largest(self) -> bool {
|
||||
Self::largest().copy_sign(self).bitwise_eq(self)
|
||||
}
|
||||
|
||||
/// Returns `true` if the number is an exact integer.
|
||||
fn is_integer(self) -> bool {
|
||||
// This could be made more efficient; I'm going for obviously correct.
|
||||
if !self.is_finite() {
|
||||
return false;
|
||||
}
|
||||
self.round_to_integral(Round::TowardZero).value.bitwise_eq(self)
|
||||
}
|
||||
|
||||
/// If this value has an exact multiplicative inverse, return it.
|
||||
fn get_exact_inverse(self) -> Option<Self>;
|
||||
|
||||
/// Returns the exponent of the internal representation of the Float.
|
||||
///
|
||||
/// Because the radix of Float is 2, this is equivalent to floor(log2(x)).
|
||||
/// For special Float values, this returns special error codes:
|
||||
///
|
||||
/// NaN -> \c IEK_NAN
|
||||
/// 0 -> \c IEK_ZERO
|
||||
/// Inf -> \c IEK_INF
|
||||
///
|
||||
fn ilogb(self) -> ExpInt;
|
||||
|
||||
/// Returns: self * 2<sup>exp</sup> for integral exponents.
|
||||
/// Equivalent to C standard library function `ldexp`.
|
||||
fn scalbn_r(self, exp: ExpInt, round: Round) -> Self;
|
||||
fn scalbn(self, exp: ExpInt) -> Self {
|
||||
self.scalbn_r(exp, Round::NearestTiesToEven)
|
||||
}
|
||||
|
||||
/// Equivalent to C standard library function with the same name.
|
||||
///
|
||||
/// While the C standard says exp is an unspecified value for infinity and nan,
|
||||
/// this returns INT_MAX for infinities, and INT_MIN for NaNs (see `ilogb`).
|
||||
fn frexp_r(self, exp: &mut ExpInt, round: Round) -> Self;
|
||||
fn frexp(self, exp: &mut ExpInt) -> Self {
|
||||
self.frexp_r(exp, Round::NearestTiesToEven)
|
||||
}
|
||||
}
|
||||
|
||||
pub trait FloatConvert<T: Float>: Float {
|
||||
/// Converts a value of one floating point type to another.
|
||||
/// The return value corresponds to the IEEE754 exceptions. *loses_info
|
||||
/// records whether the transformation lost information, i.e., whether
|
||||
/// converting the result back to the original type will produce the
|
||||
/// original value (this is almost the same as return `value == Status::OK`,
|
||||
/// but there are edge cases where this is not so).
|
||||
fn convert_r(self, round: Round, loses_info: &mut bool) -> StatusAnd<T>;
|
||||
fn convert(self, loses_info: &mut bool) -> StatusAnd<T> {
|
||||
self.convert_r(Round::NearestTiesToEven, loses_info)
|
||||
}
|
||||
}
|
||||
|
||||
macro_rules! float_common_impls {
|
||||
($ty:ident<$t:tt>) => {
|
||||
impl<$t> Default for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
fn default() -> Self {
|
||||
Self::ZERO
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::str::FromStr for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
type Err = ParseError;
|
||||
fn from_str(s: &str) -> Result<Self, ParseError> {
|
||||
Self::from_str_r(s, Round::NearestTiesToEven).map(|x| x.value)
|
||||
}
|
||||
}
|
||||
|
||||
// Rounding ties to the nearest even, by default.
|
||||
|
||||
impl<$t> ::core::ops::Add for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
type Output = StatusAnd<Self>;
|
||||
fn add(self, rhs: Self) -> StatusAnd<Self> {
|
||||
self.add_r(rhs, Round::NearestTiesToEven)
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::Sub for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
type Output = StatusAnd<Self>;
|
||||
fn sub(self, rhs: Self) -> StatusAnd<Self> {
|
||||
self.sub_r(rhs, Round::NearestTiesToEven)
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::Mul for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
type Output = StatusAnd<Self>;
|
||||
fn mul(self, rhs: Self) -> StatusAnd<Self> {
|
||||
self.mul_r(rhs, Round::NearestTiesToEven)
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::Div for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
type Output = StatusAnd<Self>;
|
||||
fn div(self, rhs: Self) -> StatusAnd<Self> {
|
||||
self.div_r(rhs, Round::NearestTiesToEven)
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::Rem for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
type Output = StatusAnd<Self>;
|
||||
fn rem(self, rhs: Self) -> StatusAnd<Self> {
|
||||
self.c_fmod(rhs)
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::AddAssign for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
fn add_assign(&mut self, rhs: Self) {
|
||||
*self = (*self + rhs).value;
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::SubAssign for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
fn sub_assign(&mut self, rhs: Self) {
|
||||
*self = (*self - rhs).value;
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::MulAssign for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
fn mul_assign(&mut self, rhs: Self) {
|
||||
*self = (*self * rhs).value;
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::DivAssign for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
fn div_assign(&mut self, rhs: Self) {
|
||||
*self = (*self / rhs).value;
|
||||
}
|
||||
}
|
||||
|
||||
impl<$t> ::core::ops::RemAssign for $ty<$t>
|
||||
where
|
||||
Self: Float,
|
||||
{
|
||||
fn rem_assign(&mut self, rhs: Self) {
|
||||
*self = (*self % rhs).value;
|
||||
}
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
pub mod ieee;
|
||||
pub mod ppc;
|
@ -1,434 +0,0 @@
|
||||
use crate::ieee;
|
||||
use crate::{Category, ExpInt, Float, FloatConvert, ParseError, Round, Status, StatusAnd};
|
||||
|
||||
use core::cmp::Ordering;
|
||||
use core::fmt;
|
||||
use core::ops::Neg;
|
||||
|
||||
#[must_use]
|
||||
#[derive(Copy, Clone, PartialEq, PartialOrd, Debug)]
|
||||
pub struct DoubleFloat<F>(F, F);
|
||||
pub type DoubleDouble = DoubleFloat<ieee::Double>;
|
||||
|
||||
// These are legacy semantics for the Fallback, inaccurate implementation of
|
||||
// IBM double-double, if the accurate DoubleDouble doesn't handle the
|
||||
// operation. It's equivalent to having an IEEE number with consecutive 106
|
||||
// bits of mantissa and 11 bits of exponent.
|
||||
//
|
||||
// It's not equivalent to IBM double-double. For example, a legit IBM
|
||||
// double-double, 1 + epsilon:
|
||||
//
|
||||
// 1 + epsilon = 1 + (1 >> 1076)
|
||||
//
|
||||
// is not representable by a consecutive 106 bits of mantissa.
|
||||
//
|
||||
// Currently, these semantics are used in the following way:
|
||||
//
|
||||
// DoubleDouble -> (Double, Double) ->
|
||||
// DoubleDouble's Fallback -> IEEE operations
|
||||
//
|
||||
// FIXME: Implement all operations in DoubleDouble, and delete these
|
||||
// semantics.
|
||||
// FIXME(eddyb) This shouldn't need to be `pub`, it's only used in bounds.
|
||||
pub struct FallbackS<F>(#[allow(unused)] F);
|
||||
type Fallback<F> = ieee::IeeeFloat<FallbackS<F>>;
|
||||
impl<F: Float> ieee::Semantics for FallbackS<F> {
|
||||
// Forbid any conversion to/from bits.
|
||||
const BITS: usize = 0;
|
||||
const PRECISION: usize = F::PRECISION * 2;
|
||||
const MAX_EXP: ExpInt = F::MAX_EXP as ExpInt;
|
||||
const MIN_EXP: ExpInt = F::MIN_EXP as ExpInt + F::PRECISION as ExpInt;
|
||||
}
|
||||
|
||||
// Convert number to F. To avoid spurious underflows, we re-
|
||||
// normalize against the F exponent range first, and only *then*
|
||||
// truncate the mantissa. The result of that second conversion
|
||||
// may be inexact, but should never underflow.
|
||||
// FIXME(eddyb) This shouldn't need to be `pub`, it's only used in bounds.
|
||||
pub struct FallbackExtendedS<F>(#[allow(unused)] F);
|
||||
type FallbackExtended<F> = ieee::IeeeFloat<FallbackExtendedS<F>>;
|
||||
impl<F: Float> ieee::Semantics for FallbackExtendedS<F> {
|
||||
// Forbid any conversion to/from bits.
|
||||
const BITS: usize = 0;
|
||||
const PRECISION: usize = Fallback::<F>::PRECISION;
|
||||
const MAX_EXP: ExpInt = F::MAX_EXP as ExpInt;
|
||||
}
|
||||
|
||||
impl<F: Float> From<Fallback<F>> for DoubleFloat<F>
|
||||
where
|
||||
F: FloatConvert<FallbackExtended<F>>,
|
||||
FallbackExtended<F>: FloatConvert<F>,
|
||||
{
|
||||
fn from(x: Fallback<F>) -> Self {
|
||||
let mut status;
|
||||
let mut loses_info = false;
|
||||
|
||||
let extended: FallbackExtended<F> = unpack!(status=, x.convert(&mut loses_info));
|
||||
assert_eq!((status, loses_info), (Status::OK, false));
|
||||
|
||||
let a = unpack!(status=, extended.convert(&mut loses_info));
|
||||
assert_eq!(status - Status::INEXACT, Status::OK);
|
||||
|
||||
// If conversion was exact or resulted in a special case, we're done;
|
||||
// just set the second double to zero. Otherwise, re-convert back to
|
||||
// the extended format and compute the difference. This now should
|
||||
// convert exactly to double.
|
||||
let b = if a.is_finite_non_zero() && loses_info {
|
||||
let u: FallbackExtended<F> = unpack!(status=, a.convert(&mut loses_info));
|
||||
assert_eq!((status, loses_info), (Status::OK, false));
|
||||
let v = unpack!(status=, extended - u);
|
||||
assert_eq!(status, Status::OK);
|
||||
let v = unpack!(status=, v.convert(&mut loses_info));
|
||||
assert_eq!((status, loses_info), (Status::OK, false));
|
||||
v
|
||||
} else {
|
||||
F::ZERO
|
||||
};
|
||||
|
||||
DoubleFloat(a, b)
|
||||
}
|
||||
}
|
||||
|
||||
impl<F: FloatConvert<Self>> From<DoubleFloat<F>> for Fallback<F> {
|
||||
fn from(DoubleFloat(a, b): DoubleFloat<F>) -> Self {
|
||||
let mut status;
|
||||
let mut loses_info = false;
|
||||
|
||||
// Get the first F and convert to our format.
|
||||
let a = unpack!(status=, a.convert(&mut loses_info));
|
||||
assert_eq!((status, loses_info), (Status::OK, false));
|
||||
|
||||
// Unless we have a special case, add in second F.
|
||||
if a.is_finite_non_zero() {
|
||||
let b = unpack!(status=, b.convert(&mut loses_info));
|
||||
assert_eq!((status, loses_info), (Status::OK, false));
|
||||
|
||||
(a + b).value
|
||||
} else {
|
||||
a
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
float_common_impls!(DoubleFloat<F>);
|
||||
|
||||
impl<F: Float> Neg for DoubleFloat<F> {
|
||||
type Output = Self;
|
||||
fn neg(self) -> Self {
|
||||
if self.1.is_finite_non_zero() {
|
||||
DoubleFloat(-self.0, -self.1)
|
||||
} else {
|
||||
DoubleFloat(-self.0, self.1)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
impl<F: FloatConvert<Fallback<F>>> fmt::Display for DoubleFloat<F> {
|
||||
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
|
||||
fmt::Display::fmt(&Fallback::from(*self), f)
|
||||
}
|
||||
}
|
||||
|
||||
impl<F: FloatConvert<Fallback<F>>> Float for DoubleFloat<F>
|
||||
where
|
||||
Self: From<Fallback<F>>,
|
||||
{
|
||||
const BITS: usize = F::BITS * 2;
|
||||
const PRECISION: usize = Fallback::<F>::PRECISION;
|
||||
const MAX_EXP: ExpInt = Fallback::<F>::MAX_EXP;
|
||||
const MIN_EXP: ExpInt = Fallback::<F>::MIN_EXP;
|
||||
|
||||
const ZERO: Self = DoubleFloat(F::ZERO, F::ZERO);
|
||||
|
||||
const INFINITY: Self = DoubleFloat(F::INFINITY, F::ZERO);
|
||||
|
||||
// FIXME(eddyb) remove when qnan becomes const fn.
|
||||
const NAN: Self = DoubleFloat(F::NAN, F::ZERO);
|
||||
|
||||
fn qnan(payload: Option<u128>) -> Self {
|
||||
DoubleFloat(F::qnan(payload), F::ZERO)
|
||||
}
|
||||
|
||||
fn snan(payload: Option<u128>) -> Self {
|
||||
DoubleFloat(F::snan(payload), F::ZERO)
|
||||
}
|
||||
|
||||
fn largest() -> Self {
|
||||
let status;
|
||||
let mut r = DoubleFloat(F::largest(), F::largest());
|
||||
r.1 = r.1.scalbn(-(F::PRECISION as ExpInt + 1));
|
||||
r.1 = unpack!(status=, r.1.next_down());
|
||||
assert_eq!(status, Status::OK);
|
||||
r
|
||||
}
|
||||
|
||||
const SMALLEST: Self = DoubleFloat(F::SMALLEST, F::ZERO);
|
||||
|
||||
fn smallest_normalized() -> Self {
|
||||
DoubleFloat(F::smallest_normalized().scalbn(F::PRECISION as ExpInt), F::ZERO)
|
||||
}
|
||||
|
||||
// Implement addition, subtraction, multiplication and division based on:
|
||||
// "Software for Doubled-Precision Floating-Point Computations",
|
||||
// by Seppo Linnainmaa, ACM TOMS vol 7 no 3, September 1981, pages 272-283.
|
||||
|
||||
fn add_r(mut self, rhs: Self, round: Round) -> StatusAnd<Self> {
|
||||
match (self.category(), rhs.category()) {
|
||||
(Category::Infinity, Category::Infinity) => {
|
||||
if self.is_negative() != rhs.is_negative() {
|
||||
Status::INVALID_OP.and(Self::NAN.copy_sign(self))
|
||||
} else {
|
||||
Status::OK.and(self)
|
||||
}
|
||||
}
|
||||
|
||||
(_, Category::Zero) | (Category::NaN, _) | (Category::Infinity, Category::Normal) => {
|
||||
Status::OK.and(self)
|
||||
}
|
||||
|
||||
(Category::Zero, _) | (_, Category::NaN | Category::Infinity) => Status::OK.and(rhs),
|
||||
|
||||
(Category::Normal, Category::Normal) => {
|
||||
let mut status = Status::OK;
|
||||
let (a, aa, c, cc) = (self.0, self.1, rhs.0, rhs.1);
|
||||
let mut z = a;
|
||||
z = unpack!(status|=, z.add_r(c, round));
|
||||
if !z.is_finite() {
|
||||
if !z.is_infinite() {
|
||||
return status.and(DoubleFloat(z, F::ZERO));
|
||||
}
|
||||
status = Status::OK;
|
||||
let a_cmp_c = a.cmp_abs_normal(c);
|
||||
z = cc;
|
||||
z = unpack!(status|=, z.add_r(aa, round));
|
||||
if a_cmp_c == Ordering::Greater {
|
||||
// z = cc + aa + c + a;
|
||||
z = unpack!(status|=, z.add_r(c, round));
|
||||
z = unpack!(status|=, z.add_r(a, round));
|
||||
} else {
|
||||
// z = cc + aa + a + c;
|
||||
z = unpack!(status|=, z.add_r(a, round));
|
||||
z = unpack!(status|=, z.add_r(c, round));
|
||||
}
|
||||
if !z.is_finite() {
|
||||
return status.and(DoubleFloat(z, F::ZERO));
|
||||
}
|
||||
self.0 = z;
|
||||
let mut zz = aa;
|
||||
zz = unpack!(status|=, zz.add_r(cc, round));
|
||||
if a_cmp_c == Ordering::Greater {
|
||||
// self.1 = a - z + c + zz;
|
||||
self.1 = a;
|
||||
self.1 = unpack!(status|=, self.1.sub_r(z, round));
|
||||
self.1 = unpack!(status|=, self.1.add_r(c, round));
|
||||
self.1 = unpack!(status|=, self.1.add_r(zz, round));
|
||||
} else {
|
||||
// self.1 = c - z + a + zz;
|
||||
self.1 = c;
|
||||
self.1 = unpack!(status|=, self.1.sub_r(z, round));
|
||||
self.1 = unpack!(status|=, self.1.add_r(a, round));
|
||||
self.1 = unpack!(status|=, self.1.add_r(zz, round));
|
||||
}
|
||||
} else {
|
||||
// q = a - z;
|
||||
let mut q = a;
|
||||
q = unpack!(status|=, q.sub_r(z, round));
|
||||
|
||||
// zz = q + c + (a - (q + z)) + aa + cc;
|
||||
// Compute a - (q + z) as -((q + z) - a) to avoid temporary copies.
|
||||
let mut zz = q;
|
||||
zz = unpack!(status|=, zz.add_r(c, round));
|
||||
q = unpack!(status|=, q.add_r(z, round));
|
||||
q = unpack!(status|=, q.sub_r(a, round));
|
||||
q = -q;
|
||||
zz = unpack!(status|=, zz.add_r(q, round));
|
||||
zz = unpack!(status|=, zz.add_r(aa, round));
|
||||
zz = unpack!(status|=, zz.add_r(cc, round));
|
||||
if zz.is_zero() && !zz.is_negative() {
|
||||
return Status::OK.and(DoubleFloat(z, F::ZERO));
|
||||
}
|
||||
self.0 = z;
|
||||
self.0 = unpack!(status|=, self.0.add_r(zz, round));
|
||||
if !self.0.is_finite() {
|
||||
self.1 = F::ZERO;
|
||||
return status.and(self);
|
||||
}
|
||||
self.1 = z;
|
||||
self.1 = unpack!(status|=, self.1.sub_r(self.0, round));
|
||||
self.1 = unpack!(status|=, self.1.add_r(zz, round));
|
||||
}
|
||||
status.and(self)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn mul_r(mut self, rhs: Self, round: Round) -> StatusAnd<Self> {
|
||||
// Interesting observation: For special categories, finding the lowest
|
||||
// common ancestor of the following layered graph gives the correct
|
||||
// return category:
|
||||
//
|
||||
// NaN
|
||||
// / \
|
||||
// Zero Inf
|
||||
// \ /
|
||||
// Normal
|
||||
//
|
||||
// e.g., NaN * NaN = NaN
|
||||
// Zero * Inf = NaN
|
||||
// Normal * Zero = Zero
|
||||
// Normal * Inf = Inf
|
||||
match (self.category(), rhs.category()) {
|
||||
(Category::NaN, _) => Status::OK.and(self),
|
||||
|
||||
(_, Category::NaN) => Status::OK.and(rhs),
|
||||
|
||||
(Category::Zero, Category::Infinity) | (Category::Infinity, Category::Zero) => {
|
||||
Status::OK.and(Self::NAN)
|
||||
}
|
||||
|
||||
(Category::Zero | Category::Infinity, _) => Status::OK.and(self),
|
||||
|
||||
(_, Category::Zero | Category::Infinity) => Status::OK.and(rhs),
|
||||
|
||||
(Category::Normal, Category::Normal) => {
|
||||
let mut status = Status::OK;
|
||||
let (a, b, c, d) = (self.0, self.1, rhs.0, rhs.1);
|
||||
// t = a * c
|
||||
let mut t = a;
|
||||
t = unpack!(status|=, t.mul_r(c, round));
|
||||
if !t.is_finite_non_zero() {
|
||||
return status.and(DoubleFloat(t, F::ZERO));
|
||||
}
|
||||
|
||||
// tau = fmsub(a, c, t), that is -fmadd(-a, c, t).
|
||||
let mut tau = a;
|
||||
tau = unpack!(status|=, tau.mul_add_r(c, -t, round));
|
||||
// v = a * d
|
||||
let mut v = a;
|
||||
v = unpack!(status|=, v.mul_r(d, round));
|
||||
// w = b * c
|
||||
let mut w = b;
|
||||
w = unpack!(status|=, w.mul_r(c, round));
|
||||
v = unpack!(status|=, v.add_r(w, round));
|
||||
// tau += v + w
|
||||
tau = unpack!(status|=, tau.add_r(v, round));
|
||||
// u = t + tau
|
||||
let mut u = t;
|
||||
u = unpack!(status|=, u.add_r(tau, round));
|
||||
|
||||
self.0 = u;
|
||||
if !u.is_finite() {
|
||||
self.1 = F::ZERO;
|
||||
} else {
|
||||
// self.1 = (t - u) + tau
|
||||
t = unpack!(status|=, t.sub_r(u, round));
|
||||
t = unpack!(status|=, t.add_r(tau, round));
|
||||
self.1 = t;
|
||||
}
|
||||
status.and(self)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn mul_add_r(self, multiplicand: Self, addend: Self, round: Round) -> StatusAnd<Self> {
|
||||
Fallback::from(self)
|
||||
.mul_add_r(Fallback::from(multiplicand), Fallback::from(addend), round)
|
||||
.map(Self::from)
|
||||
}
|
||||
|
||||
fn div_r(self, rhs: Self, round: Round) -> StatusAnd<Self> {
|
||||
Fallback::from(self).div_r(Fallback::from(rhs), round).map(Self::from)
|
||||
}
|
||||
|
||||
fn c_fmod(self, rhs: Self) -> StatusAnd<Self> {
|
||||
Fallback::from(self).c_fmod(Fallback::from(rhs)).map(Self::from)
|
||||
}
|
||||
|
||||
fn round_to_integral(self, round: Round) -> StatusAnd<Self> {
|
||||
Fallback::from(self).round_to_integral(round).map(Self::from)
|
||||
}
|
||||
|
||||
fn next_up(self) -> StatusAnd<Self> {
|
||||
Fallback::from(self).next_up().map(Self::from)
|
||||
}
|
||||
|
||||
fn from_bits(input: u128) -> Self {
|
||||
let (a, b) = (input, input >> F::BITS);
|
||||
DoubleFloat(F::from_bits(a & ((1 << F::BITS) - 1)), F::from_bits(b & ((1 << F::BITS) - 1)))
|
||||
}
|
||||
|
||||
fn from_u128_r(input: u128, round: Round) -> StatusAnd<Self> {
|
||||
Fallback::from_u128_r(input, round).map(Self::from)
|
||||
}
|
||||
|
||||
fn from_str_r(s: &str, round: Round) -> Result<StatusAnd<Self>, ParseError> {
|
||||
Fallback::from_str_r(s, round).map(|r| r.map(Self::from))
|
||||
}
|
||||
|
||||
fn to_bits(self) -> u128 {
|
||||
self.0.to_bits() | (self.1.to_bits() << F::BITS)
|
||||
}
|
||||
|
||||
fn to_u128_r(self, width: usize, round: Round, is_exact: &mut bool) -> StatusAnd<u128> {
|
||||
Fallback::from(self).to_u128_r(width, round, is_exact)
|
||||
}
|
||||
|
||||
fn cmp_abs_normal(self, rhs: Self) -> Ordering {
|
||||
self.0.cmp_abs_normal(rhs.0).then_with(|| {
|
||||
let result = self.1.cmp_abs_normal(rhs.1);
|
||||
if result != Ordering::Equal {
|
||||
let against = self.0.is_negative() ^ self.1.is_negative();
|
||||
let rhs_against = rhs.0.is_negative() ^ rhs.1.is_negative();
|
||||
(!against)
|
||||
.cmp(&!rhs_against)
|
||||
.then_with(|| if against { result.reverse() } else { result })
|
||||
} else {
|
||||
result
|
||||
}
|
||||
})
|
||||
}
|
||||
|
||||
fn bitwise_eq(self, rhs: Self) -> bool {
|
||||
self.0.bitwise_eq(rhs.0) && self.1.bitwise_eq(rhs.1)
|
||||
}
|
||||
|
||||
fn is_negative(self) -> bool {
|
||||
self.0.is_negative()
|
||||
}
|
||||
|
||||
fn is_denormal(self) -> bool {
|
||||
self.category() == Category::Normal
|
||||
&& (self.0.is_denormal() || self.0.is_denormal() ||
|
||||
// (double)(Hi + Lo) == Hi defines a normal number.
|
||||
!(self.0 + self.1).value.bitwise_eq(self.0))
|
||||
}
|
||||
|
||||
fn is_signaling(self) -> bool {
|
||||
self.0.is_signaling()
|
||||
}
|
||||
|
||||
fn category(self) -> Category {
|
||||
self.0.category()
|
||||
}
|
||||
|
||||
fn get_exact_inverse(self) -> Option<Self> {
|
||||
Fallback::from(self).get_exact_inverse().map(Self::from)
|
||||
}
|
||||
|
||||
fn ilogb(self) -> ExpInt {
|
||||
self.0.ilogb()
|
||||
}
|
||||
|
||||
fn scalbn_r(self, exp: ExpInt, round: Round) -> Self {
|
||||
DoubleFloat(self.0.scalbn_r(exp, round), self.1.scalbn_r(exp, round))
|
||||
}
|
||||
|
||||
fn frexp_r(self, exp: &mut ExpInt, round: Round) -> Self {
|
||||
let a = self.0.frexp_r(exp, round);
|
||||
let mut b = self.1;
|
||||
if self.category() == Category::Normal {
|
||||
b = b.scalbn_r(-*exp, round);
|
||||
}
|
||||
DoubleFloat(a, b)
|
||||
}
|
||||
}
|
File diff suppressed because it is too large
Load Diff
@ -1,530 +0,0 @@
|
||||
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());
|
||||
}
|
@ -8,7 +8,7 @@ edition = "2021"
|
||||
[dependencies]
|
||||
tracing = "0.1"
|
||||
either = "1"
|
||||
rustc_apfloat = { path = "../rustc_apfloat" }
|
||||
rustc_apfloat = "0.2.0"
|
||||
rustc_ast = { path = "../rustc_ast" }
|
||||
rustc_attr = { path = "../rustc_attr" }
|
||||
rustc_data_structures = { path = "../rustc_data_structures" }
|
||||
|
@ -13,7 +13,7 @@ gsgdt = "0.1.2"
|
||||
field-offset = "0.3.5"
|
||||
measureme = "10.0.0"
|
||||
polonius-engine = "0.13.0"
|
||||
rustc_apfloat = { path = "../rustc_apfloat" }
|
||||
rustc_apfloat = "0.2.0"
|
||||
rustc_arena = { path = "../rustc_arena" }
|
||||
rustc_ast = { path = "../rustc_ast" }
|
||||
rustc_attr = { path = "../rustc_attr" }
|
||||
|
@ -10,7 +10,7 @@ rustc_arena = { path = "../rustc_arena" }
|
||||
tracing = "0.1"
|
||||
either = "1"
|
||||
rustc_middle = { path = "../rustc_middle" }
|
||||
rustc_apfloat = { path = "../rustc_apfloat" }
|
||||
rustc_apfloat = "0.2.0"
|
||||
rustc_data_structures = { path = "../rustc_data_structures" }
|
||||
rustc_index = { path = "../rustc_index" }
|
||||
rustc_errors = { path = "../rustc_errors" }
|
||||
|
@ -914,16 +914,6 @@ pub trait EvalContextExt<'mir, 'tcx: 'mir>: crate::MiriInterpCxExt<'mir, 'tcx> {
|
||||
let x = this.read_scalar(x)?.to_f64()?;
|
||||
let exp = this.read_scalar(exp)?.to_i32()?;
|
||||
|
||||
// Saturating cast to i16. Even those are outside the valid exponent range so
|
||||
// `scalbn` below will do its over/underflow handling.
|
||||
let exp = if exp > i32::from(i16::MAX) {
|
||||
i16::MAX
|
||||
} else if exp < i32::from(i16::MIN) {
|
||||
i16::MIN
|
||||
} else {
|
||||
exp.try_into().unwrap()
|
||||
};
|
||||
|
||||
let res = x.scalbn(exp);
|
||||
this.write_scalar(Scalar::from_f64(res), dest)?;
|
||||
}
|
||||
|
@ -46,6 +46,7 @@ const EXCEPTIONS: &[(&str, &str)] = &[
|
||||
("instant", "BSD-3-Clause"), // rustc_driver/tracing-subscriber/parking_lot
|
||||
("mdbook", "MPL-2.0"), // mdbook
|
||||
("openssl", "Apache-2.0"), // opt-dist
|
||||
("rustc_apfloat", "Apache-2.0 WITH LLVM-exception"), // rustc (license is the same as LLVM uses)
|
||||
("ryu", "Apache-2.0 OR BSL-1.0"), // cargo/... (because of serde)
|
||||
("self_cell", "Apache-2.0"), // rustc (fluent translations)
|
||||
("snap", "BSD-3-Clause"), // rustc
|
||||
@ -224,6 +225,7 @@ const PERMITTED_RUSTC_DEPENDENCIES: &[&str] = &[
|
||||
"rustc-hash",
|
||||
"rustc-rayon",
|
||||
"rustc-rayon-core",
|
||||
"rustc_apfloat",
|
||||
"rustc_version",
|
||||
"rustix",
|
||||
"ruzstd", // via object in thorin-dwp
|
||||
|
@ -302,10 +302,6 @@ pub fn check(path: &Path, bad: &mut bool) {
|
||||
return;
|
||||
}
|
||||
}
|
||||
// apfloat shouldn't be changed because of license problems
|
||||
if is_in(file, "compiler", "rustc_apfloat") {
|
||||
return;
|
||||
}
|
||||
let mut skip_cr = contains_ignore_directive(can_contain, &contents, "cr");
|
||||
let mut skip_undocumented_unsafe =
|
||||
contains_ignore_directive(can_contain, &contents, "undocumented-unsafe");
|
||||
|
9
tests/ui/const_prop/apfloat-f64-roundtrip.rs
Normal file
9
tests/ui/const_prop/apfloat-f64-roundtrip.rs
Normal file
@ -0,0 +1,9 @@
|
||||
// run-pass
|
||||
// compile-flags: -O -Zmir-opt-level=3 -Cno-prepopulate-passes
|
||||
// min-llvm-version: 16.0 (requires APFloat fixes in LLVM)
|
||||
|
||||
// Regression test for a broken MIR optimization (issue #113407).
|
||||
pub fn main() {
|
||||
let f = f64::from_bits(0x19873cc2) as f32;
|
||||
assert_eq!(f.to_bits(), 0);
|
||||
}
|
15
tests/ui/const_prop/apfloat-remainder-regression.rs
Normal file
15
tests/ui/const_prop/apfloat-remainder-regression.rs
Normal file
@ -0,0 +1,15 @@
|
||||
// run-pass
|
||||
// compile-flags: -O -Zmir-opt-level=3 -Cno-prepopulate-passes
|
||||
|
||||
// Regression test for a broken MIR optimization (issue #102403).
|
||||
pub fn f() -> f64 {
|
||||
std::hint::black_box(-1.0) % std::hint::black_box(-1.0)
|
||||
}
|
||||
|
||||
pub fn g() -> f64 {
|
||||
-1.0 % -1.0
|
||||
}
|
||||
|
||||
pub fn main() {
|
||||
assert_eq!(f().signum(), g().signum());
|
||||
}
|
15
tests/ui/numbers-arithmetic/apfloat-modulo-wrong.rs
Normal file
15
tests/ui/numbers-arithmetic/apfloat-modulo-wrong.rs
Normal file
@ -0,0 +1,15 @@
|
||||
// run-pass
|
||||
// check-run-results
|
||||
// regression test for issue #109567
|
||||
|
||||
fn f() -> f64 {
|
||||
std::hint::black_box(-1.0) % std::hint::black_box(-1.0)
|
||||
}
|
||||
|
||||
const G: f64 = -1.0 % -1.0;
|
||||
|
||||
pub fn main() {
|
||||
assert_eq!(-1, G.signum() as i32);
|
||||
assert_eq!((-0.0_f64).to_bits(), G.to_bits());
|
||||
assert_eq!(f().signum(), G.signum());
|
||||
}
|
@ -318,14 +318,6 @@ changelog-branch = "master"
|
||||
|
||||
[shortcut]
|
||||
|
||||
|
||||
[mentions."compiler/rustc_apfloat"]
|
||||
message = """
|
||||
Changes rustc_apfloat. rustc_apfloat is currently in limbo and you almost \
|
||||
certainly don't want to change it (see #55993).
|
||||
"""
|
||||
cc = ["@eddyb"]
|
||||
|
||||
[mentions."compiler/rustc_codegen_cranelift"]
|
||||
cc = ["@bjorn3"]
|
||||
|
||||
@ -609,7 +601,6 @@ style-team = [
|
||||
"/Cargo.lock" = ["@Mark-Simulacrum"]
|
||||
"/Cargo.toml" = ["@Mark-Simulacrum"]
|
||||
"/compiler" = ["compiler"]
|
||||
"/compiler/rustc_apfloat" = ["@eddyb"]
|
||||
"/compiler/rustc_ast" = ["compiler", "parser"]
|
||||
"/compiler/rustc_ast_lowering" = ["compiler", "ast_lowering"]
|
||||
"/compiler/rustc_hir_analysis" = ["compiler", "types"]
|
||||
|
Loading…
Reference in New Issue
Block a user