8f057e0482
Implemented `SaddSat` and `SsubSat` to add and subtract signed vector values, saturating at the type boundaries rather than overflowing. Changed the parser to allow signed `i8` immediates in vectors as part of this work; fixes #3276. Copyright (c) 2021, Arm Limited.
1331 lines
43 KiB
Rust
1331 lines
43 KiB
Rust
//! Immediate operands for Cranelift instructions
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//!
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//! This module defines the types of immediate operands that can appear on Cranelift instructions.
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//! Each type here should have a corresponding definition in the
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//! `cranelift-codegen/meta/src/shared/immediates` crate in the meta language.
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use alloc::vec::Vec;
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use core::cmp::Ordering;
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use core::convert::TryFrom;
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use core::fmt::{self, Display, Formatter};
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use core::str::FromStr;
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use core::{i32, u32};
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#[cfg(feature = "enable-serde")]
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use serde::{Deserialize, Serialize};
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/// Convert a type into a vector of bytes; all implementors in this file must use little-endian
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/// orderings of bytes to match WebAssembly's little-endianness.
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pub trait IntoBytes {
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/// Return the little-endian byte representation of the implementing type.
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fn into_bytes(self) -> Vec<u8>;
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}
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impl IntoBytes for u8 {
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fn into_bytes(self) -> Vec<u8> {
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vec![self]
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}
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}
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impl IntoBytes for i8 {
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fn into_bytes(self) -> Vec<u8> {
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vec![self as u8]
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}
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}
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impl IntoBytes for i16 {
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fn into_bytes(self) -> Vec<u8> {
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self.to_le_bytes().to_vec()
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}
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}
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impl IntoBytes for i32 {
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fn into_bytes(self) -> Vec<u8> {
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self.to_le_bytes().to_vec()
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}
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}
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impl IntoBytes for Vec<u8> {
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fn into_bytes(self) -> Vec<u8> {
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self
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}
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}
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/// 64-bit immediate signed integer operand.
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///
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/// An `Imm64` operand can also be used to represent immediate values of smaller integer types by
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/// sign-extending to `i64`.
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#[derive(Copy, Clone, PartialEq, Eq, Debug, Hash)]
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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pub struct Imm64(i64);
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impl Imm64 {
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/// Create a new `Imm64` representing the signed number `x`.
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pub fn new(x: i64) -> Self {
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Self(x)
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}
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/// Return self negated.
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pub fn wrapping_neg(self) -> Self {
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Self(self.0.wrapping_neg())
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}
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/// Return bits of this immediate.
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pub fn bits(&self) -> i64 {
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self.0
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}
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/// Sign extend this immediate as if it were a signed integer of the given
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/// power-of-two width.
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pub fn sign_extend_from_width(&mut self, bit_width: u16) {
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debug_assert!(bit_width.is_power_of_two());
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if bit_width >= 64 {
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return;
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}
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let bit_width = i64::from(bit_width);
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let delta = 64 - bit_width;
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let sign_extended = (self.0 << delta) >> delta;
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*self = Imm64(sign_extended);
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}
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}
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impl From<Imm64> for i64 {
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fn from(val: Imm64) -> i64 {
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val.0
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}
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}
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impl IntoBytes for Imm64 {
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fn into_bytes(self) -> Vec<u8> {
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self.0.to_le_bytes().to_vec()
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}
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}
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impl From<i64> for Imm64 {
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fn from(x: i64) -> Self {
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Self(x)
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}
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}
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impl Display for Imm64 {
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fn fmt(&self, f: &mut Formatter) -> fmt::Result {
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let x = self.0;
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if -10_000 < x && x < 10_000 {
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// Use decimal for small numbers.
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write!(f, "{}", x)
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} else {
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write_hex(x as u64, f)
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}
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}
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}
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/// Parse a 64-bit signed number.
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fn parse_i64(s: &str) -> Result<i64, &'static str> {
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let negative = s.starts_with('-');
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let s2 = if negative || s.starts_with('+') {
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&s[1..]
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} else {
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s
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};
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let mut value = parse_u64(s2)?;
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// We support the range-and-a-half from -2^63 .. 2^64-1.
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if negative {
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value = value.wrapping_neg();
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// Don't allow large negative values to wrap around and become positive.
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if value as i64 > 0 {
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return Err("Negative number too small");
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}
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}
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Ok(value as i64)
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}
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impl FromStr for Imm64 {
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type Err = &'static str;
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// Parse a decimal or hexadecimal `Imm64`, formatted as above.
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fn from_str(s: &str) -> Result<Self, &'static str> {
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parse_i64(s).map(Self::new)
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}
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}
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/// 64-bit immediate unsigned integer operand.
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///
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/// A `Uimm64` operand can also be used to represent immediate values of smaller integer types by
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/// zero-extending to `i64`.
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#[derive(Copy, Clone, PartialEq, Eq, Debug, Hash)]
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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pub struct Uimm64(u64);
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impl Uimm64 {
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/// Create a new `Uimm64` representing the unsigned number `x`.
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pub fn new(x: u64) -> Self {
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Self(x)
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}
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/// Return self negated.
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pub fn wrapping_neg(self) -> Self {
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Self(self.0.wrapping_neg())
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}
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}
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impl From<Uimm64> for u64 {
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fn from(val: Uimm64) -> u64 {
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val.0
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}
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}
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impl From<u64> for Uimm64 {
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fn from(x: u64) -> Self {
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Self(x)
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}
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}
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/// Hexadecimal with a multiple of 4 digits and group separators:
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///
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/// 0xfff0
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/// 0x0001_ffff
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/// 0xffff_ffff_fff8_4400
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///
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fn write_hex(x: u64, f: &mut Formatter) -> fmt::Result {
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let mut pos = (64 - x.leading_zeros() - 1) & 0xf0;
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write!(f, "0x{:04x}", (x >> pos) & 0xffff)?;
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while pos > 0 {
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pos -= 16;
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write!(f, "_{:04x}", (x >> pos) & 0xffff)?;
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}
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Ok(())
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}
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impl Display for Uimm64 {
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fn fmt(&self, f: &mut Formatter) -> fmt::Result {
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let x = self.0;
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if x < 10_000 {
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// Use decimal for small numbers.
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write!(f, "{}", x)
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} else {
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write_hex(x, f)
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}
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}
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}
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/// Parse a 64-bit unsigned number.
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fn parse_u64(s: &str) -> Result<u64, &'static str> {
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let mut value: u64 = 0;
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let mut digits = 0;
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if s.starts_with("-0x") {
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return Err("Invalid character in hexadecimal number");
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} else if s.starts_with("0x") {
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// Hexadecimal.
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for ch in s[2..].chars() {
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match ch.to_digit(16) {
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Some(digit) => {
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digits += 1;
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if digits > 16 {
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return Err("Too many hexadecimal digits");
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}
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// This can't overflow given the digit limit.
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value = (value << 4) | u64::from(digit);
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}
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None => {
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// Allow embedded underscores, but fail on anything else.
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if ch != '_' {
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return Err("Invalid character in hexadecimal number");
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}
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}
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}
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}
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} else {
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// Decimal number, possibly negative.
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for ch in s.chars() {
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match ch.to_digit(16) {
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Some(digit) => {
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digits += 1;
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match value.checked_mul(10) {
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None => return Err("Too large decimal number"),
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Some(v) => value = v,
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}
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match value.checked_add(u64::from(digit)) {
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None => return Err("Too large decimal number"),
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Some(v) => value = v,
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}
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}
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None => {
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// Allow embedded underscores, but fail on anything else.
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if ch != '_' {
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return Err("Invalid character in decimal number");
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}
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}
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}
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}
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}
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if digits == 0 {
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return Err("No digits in number");
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}
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Ok(value)
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}
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impl FromStr for Uimm64 {
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type Err = &'static str;
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// Parse a decimal or hexadecimal `Uimm64`, formatted as above.
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fn from_str(s: &str) -> Result<Self, &'static str> {
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parse_u64(s).map(Self::new)
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}
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}
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/// 8-bit unsigned integer immediate operand.
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///
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/// This is used to indicate lane indexes typically.
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pub type Uimm8 = u8;
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/// A 32-bit unsigned integer immediate operand.
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///
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/// This is used to represent sizes of memory objects.
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#[derive(Copy, Clone, PartialEq, Eq, Debug, Hash)]
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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pub struct Uimm32(u32);
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impl From<Uimm32> for u32 {
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fn from(val: Uimm32) -> u32 {
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val.0
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}
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}
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impl From<Uimm32> for u64 {
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fn from(val: Uimm32) -> u64 {
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val.0.into()
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}
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}
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impl From<Uimm32> for i64 {
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fn from(val: Uimm32) -> i64 {
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i64::from(val.0)
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}
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}
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impl From<u32> for Uimm32 {
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fn from(x: u32) -> Self {
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Self(x)
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}
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}
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impl Display for Uimm32 {
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fn fmt(&self, f: &mut Formatter) -> fmt::Result {
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if self.0 < 10_000 {
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write!(f, "{}", self.0)
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} else {
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write_hex(u64::from(self.0), f)
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}
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}
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}
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impl FromStr for Uimm32 {
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type Err = &'static str;
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// Parse a decimal or hexadecimal `Uimm32`, formatted as above.
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fn from_str(s: &str) -> Result<Self, &'static str> {
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parse_i64(s).and_then(|x| {
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if 0 <= x && x <= i64::from(u32::MAX) {
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Ok(Self(x as u32))
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} else {
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Err("Uimm32 out of range")
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}
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})
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}
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}
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/// A 128-bit immediate operand.
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///
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/// This is used as an immediate value in SIMD instructions.
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#[derive(Copy, Clone, PartialEq, Eq, Debug, Hash)]
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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pub struct V128Imm(pub [u8; 16]);
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impl V128Imm {
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/// Iterate over the bytes in the constant.
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pub fn bytes(&self) -> impl Iterator<Item = &u8> {
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self.0.iter()
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}
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/// Convert the immediate into a vector.
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pub fn to_vec(self) -> Vec<u8> {
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self.0.to_vec()
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}
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/// Convert the immediate into a slice.
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pub fn as_slice(&self) -> &[u8] {
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&self.0[..]
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}
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}
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impl From<&[u8]> for V128Imm {
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fn from(slice: &[u8]) -> Self {
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assert_eq!(slice.len(), 16);
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let mut buffer = [0; 16];
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buffer.copy_from_slice(slice);
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Self(buffer)
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}
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}
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impl From<u128> for V128Imm {
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fn from(val: u128) -> Self {
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V128Imm(val.to_le_bytes())
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}
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}
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/// 32-bit signed immediate offset.
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///
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/// This is used to encode an immediate offset for load/store instructions. All supported ISAs have
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/// a maximum load/store offset that fits in an `i32`.
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#[derive(Copy, Clone, PartialEq, Eq, Debug, Hash)]
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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pub struct Offset32(i32);
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impl Offset32 {
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/// Create a new `Offset32` representing the signed number `x`.
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pub fn new(x: i32) -> Self {
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Self(x)
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}
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/// Create a new `Offset32` representing the signed number `x` if possible.
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pub fn try_from_i64(x: i64) -> Option<Self> {
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let x = i32::try_from(x).ok()?;
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Some(Self::new(x))
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}
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/// Add in the signed number `x` if possible.
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pub fn try_add_i64(self, x: i64) -> Option<Self> {
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let x = i32::try_from(x).ok()?;
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let ret = self.0.checked_add(x)?;
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Some(Self::new(ret))
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}
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}
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impl From<Offset32> for i32 {
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fn from(val: Offset32) -> i32 {
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val.0
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}
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}
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impl From<Offset32> for i64 {
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fn from(val: Offset32) -> i64 {
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i64::from(val.0)
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}
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}
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impl From<i32> for Offset32 {
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fn from(x: i32) -> Self {
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Self(x)
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}
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}
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impl Display for Offset32 {
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fn fmt(&self, f: &mut Formatter) -> fmt::Result {
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// 0 displays as an empty offset.
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if self.0 == 0 {
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return Ok(());
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}
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// Always include a sign.
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write!(f, "{}", if self.0 < 0 { '-' } else { '+' })?;
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let val = i64::from(self.0).abs();
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if val < 10_000 {
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write!(f, "{}", val)
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} else {
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write_hex(val as u64, f)
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}
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}
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}
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impl FromStr for Offset32 {
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type Err = &'static str;
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// Parse a decimal or hexadecimal `Offset32`, formatted as above.
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fn from_str(s: &str) -> Result<Self, &'static str> {
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if !(s.starts_with('-') || s.starts_with('+')) {
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return Err("Offset must begin with sign");
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}
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parse_i64(s).and_then(|x| {
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if i64::from(i32::MIN) <= x && x <= i64::from(i32::MAX) {
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Ok(Self::new(x as i32))
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} else {
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Err("Offset out of range")
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}
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})
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}
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}
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/// An IEEE binary32 immediate floating point value, represented as a u32
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/// containing the bit pattern.
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///
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/// All bit patterns are allowed.
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#[derive(Copy, Clone, Debug, Eq, PartialEq, Hash)]
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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#[repr(C)]
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pub struct Ieee32(u32);
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|
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/// An IEEE binary64 immediate floating point value, represented as a u64
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/// containing the bit pattern.
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///
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/// All bit patterns are allowed.
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|
#[derive(Copy, Clone, Debug, Eq, PartialEq, Hash)]
|
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#[cfg_attr(feature = "enable-serde", derive(Serialize, Deserialize))]
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#[repr(C)]
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pub struct Ieee64(u64);
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/// Format a floating point number in a way that is reasonably human-readable, and that can be
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/// converted back to binary without any rounding issues. The hexadecimal formatting of normal and
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/// subnormal numbers is compatible with C99 and the `printf "%a"` format specifier. The NaN and Inf
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/// formats are not supported by C99.
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///
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/// The encoding parameters are:
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///
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/// w - exponent field width in bits
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/// t - trailing significand field width in bits
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///
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fn format_float(bits: u64, w: u8, t: u8, f: &mut Formatter) -> fmt::Result {
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debug_assert!(w > 0 && w <= 16, "Invalid exponent range");
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debug_assert!(1 + w + t <= 64, "Too large IEEE format for u64");
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debug_assert!((t + w + 1).is_power_of_two(), "Unexpected IEEE format size");
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let max_e_bits = (1u64 << w) - 1;
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let t_bits = bits & ((1u64 << t) - 1); // Trailing significand.
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let e_bits = (bits >> t) & max_e_bits; // Biased exponent.
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let sign_bit = (bits >> (w + t)) & 1;
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let bias: i32 = (1 << (w - 1)) - 1;
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let e = e_bits as i32 - bias; // Unbiased exponent.
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let emin = 1 - bias; // Minimum exponent.
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// How many hexadecimal digits are needed for the trailing significand?
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let digits = (t + 3) / 4;
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// Trailing significand left-aligned in `digits` hexadecimal digits.
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let left_t_bits = t_bits << (4 * digits - t);
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// All formats share the leading sign.
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if sign_bit != 0 {
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write!(f, "-")?;
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}
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if e_bits == 0 {
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if t_bits == 0 {
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// Zero.
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write!(f, "0.0")
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} else {
|
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// Subnormal.
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write!(
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f,
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"0x0.{0:01$x}p{2}",
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left_t_bits,
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usize::from(digits),
|
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emin
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)
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}
|
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} else if e_bits == max_e_bits {
|
|
// Always print a `+` or `-` sign for these special values.
|
|
// This makes them easier to parse as they can't be confused as identifiers.
|
|
if sign_bit == 0 {
|
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write!(f, "+")?;
|
|
}
|
|
if t_bits == 0 {
|
|
// Infinity.
|
|
write!(f, "Inf")
|
|
} else {
|
|
// NaN.
|
|
let payload = t_bits & ((1 << (t - 1)) - 1);
|
|
if t_bits & (1 << (t - 1)) != 0 {
|
|
// Quiet NaN.
|
|
if payload != 0 {
|
|
write!(f, "NaN:0x{:x}", payload)
|
|
} else {
|
|
write!(f, "NaN")
|
|
}
|
|
} else {
|
|
// Signaling NaN.
|
|
write!(f, "sNaN:0x{:x}", payload)
|
|
}
|
|
}
|
|
} else {
|
|
// Normal number.
|
|
write!(f, "0x1.{0:01$x}p{2}", left_t_bits, usize::from(digits), e)
|
|
}
|
|
}
|
|
|
|
/// Parse a float using the same format as `format_float` above.
|
|
///
|
|
/// The encoding parameters are:
|
|
///
|
|
/// w - exponent field width in bits
|
|
/// t - trailing significand field width in bits
|
|
///
|
|
fn parse_float(s: &str, w: u8, t: u8) -> Result<u64, &'static str> {
|
|
debug_assert!(w > 0 && w <= 16, "Invalid exponent range");
|
|
debug_assert!(1 + w + t <= 64, "Too large IEEE format for u64");
|
|
debug_assert!((t + w + 1).is_power_of_two(), "Unexpected IEEE format size");
|
|
|
|
let (sign_bit, s2) = if s.starts_with('-') {
|
|
(1u64 << (t + w), &s[1..])
|
|
} else if s.starts_with('+') {
|
|
(0, &s[1..])
|
|
} else {
|
|
(0, s)
|
|
};
|
|
|
|
if !s2.starts_with("0x") {
|
|
let max_e_bits = ((1u64 << w) - 1) << t;
|
|
let quiet_bit = 1u64 << (t - 1);
|
|
|
|
// The only decimal encoding allowed is 0.
|
|
if s2 == "0.0" {
|
|
return Ok(sign_bit);
|
|
}
|
|
|
|
if s2 == "Inf" {
|
|
// +/- infinity: e = max, t = 0.
|
|
return Ok(sign_bit | max_e_bits);
|
|
}
|
|
if s2 == "NaN" {
|
|
// Canonical quiet NaN: e = max, t = quiet.
|
|
return Ok(sign_bit | max_e_bits | quiet_bit);
|
|
}
|
|
if s2.starts_with("NaN:0x") {
|
|
// Quiet NaN with payload.
|
|
return match u64::from_str_radix(&s2[6..], 16) {
|
|
Ok(payload) if payload < quiet_bit => {
|
|
Ok(sign_bit | max_e_bits | quiet_bit | payload)
|
|
}
|
|
_ => Err("Invalid NaN payload"),
|
|
};
|
|
}
|
|
if s2.starts_with("sNaN:0x") {
|
|
// Signaling NaN with payload.
|
|
return match u64::from_str_radix(&s2[7..], 16) {
|
|
Ok(payload) if 0 < payload && payload < quiet_bit => {
|
|
Ok(sign_bit | max_e_bits | payload)
|
|
}
|
|
_ => Err("Invalid sNaN payload"),
|
|
};
|
|
}
|
|
|
|
return Err("Float must be hexadecimal");
|
|
}
|
|
let s3 = &s2[2..];
|
|
|
|
let mut digits = 0u8;
|
|
let mut digits_before_period: Option<u8> = None;
|
|
let mut significand = 0u64;
|
|
let mut exponent = 0i32;
|
|
|
|
for (idx, ch) in s3.char_indices() {
|
|
match ch {
|
|
'.' => {
|
|
// This is the radix point. There can only be one.
|
|
if digits_before_period != None {
|
|
return Err("Multiple radix points");
|
|
} else {
|
|
digits_before_period = Some(digits);
|
|
}
|
|
}
|
|
'p' => {
|
|
// The following exponent is a decimal number.
|
|
let exp_str = &s3[1 + idx..];
|
|
match exp_str.parse::<i16>() {
|
|
Ok(e) => {
|
|
exponent = i32::from(e);
|
|
break;
|
|
}
|
|
Err(_) => return Err("Bad exponent"),
|
|
}
|
|
}
|
|
_ => match ch.to_digit(16) {
|
|
Some(digit) => {
|
|
digits += 1;
|
|
if digits > 16 {
|
|
return Err("Too many digits");
|
|
}
|
|
significand = (significand << 4) | u64::from(digit);
|
|
}
|
|
None => return Err("Invalid character"),
|
|
},
|
|
}
|
|
}
|
|
|
|
if digits == 0 {
|
|
return Err("No digits");
|
|
}
|
|
|
|
if significand == 0 {
|
|
// This is +/- 0.0.
|
|
return Ok(sign_bit);
|
|
}
|
|
|
|
// Number of bits appearing after the radix point.
|
|
match digits_before_period {
|
|
None => {} // No radix point present.
|
|
Some(d) => exponent -= 4 * i32::from(digits - d),
|
|
};
|
|
|
|
// Normalize the significand and exponent.
|
|
let significant_bits = (64 - significand.leading_zeros()) as u8;
|
|
if significant_bits > t + 1 {
|
|
let adjust = significant_bits - (t + 1);
|
|
if significand & ((1u64 << adjust) - 1) != 0 {
|
|
return Err("Too many significant bits");
|
|
}
|
|
// Adjust significand down.
|
|
significand >>= adjust;
|
|
exponent += i32::from(adjust);
|
|
} else {
|
|
let adjust = t + 1 - significant_bits;
|
|
significand <<= adjust;
|
|
exponent -= i32::from(adjust);
|
|
}
|
|
debug_assert_eq!(significand >> t, 1);
|
|
|
|
// Trailing significand excludes the high bit.
|
|
let t_bits = significand & ((1 << t) - 1);
|
|
|
|
let max_exp = (1i32 << w) - 2;
|
|
let bias: i32 = (1 << (w - 1)) - 1;
|
|
exponent += bias + i32::from(t);
|
|
|
|
if exponent > max_exp {
|
|
Err("Magnitude too large")
|
|
} else if exponent > 0 {
|
|
// This is a normal number.
|
|
let e_bits = (exponent as u64) << t;
|
|
Ok(sign_bit | e_bits | t_bits)
|
|
} else if 1 - exponent <= i32::from(t) {
|
|
// This is a subnormal number: e = 0, t = significand bits.
|
|
// Renormalize significand for exponent = 1.
|
|
let adjust = 1 - exponent;
|
|
if significand & ((1u64 << adjust) - 1) != 0 {
|
|
Err("Subnormal underflow")
|
|
} else {
|
|
significand >>= adjust;
|
|
Ok(sign_bit | significand)
|
|
}
|
|
} else {
|
|
Err("Magnitude too small")
|
|
}
|
|
}
|
|
|
|
impl Ieee32 {
|
|
/// Create a new `Ieee32` containing the bits of `x`.
|
|
pub fn with_bits(x: u32) -> Self {
|
|
Self(x)
|
|
}
|
|
|
|
/// Create an `Ieee32` number representing `2.0^n`.
|
|
pub fn pow2<I: Into<i32>>(n: I) -> Self {
|
|
let n = n.into();
|
|
let w = 8;
|
|
let t = 23;
|
|
let bias = (1 << (w - 1)) - 1;
|
|
let exponent = (n + bias) as u32;
|
|
assert!(exponent > 0, "Underflow n={}", n);
|
|
assert!(exponent < (1 << w) + 1, "Overflow n={}", n);
|
|
Self(exponent << t)
|
|
}
|
|
|
|
/// Create an `Ieee32` number representing the greatest negative value
|
|
/// not convertable from f32 to a signed integer with width n.
|
|
pub fn fcvt_to_sint_negative_overflow<I: Into<i32>>(n: I) -> Self {
|
|
let n = n.into();
|
|
debug_assert!(n < 32);
|
|
debug_assert!(23 + 1 - n < 32);
|
|
Self::with_bits((1u32 << (32 - 1)) | Self::pow2(n - 1).0 | (1u32 << (23 + 1 - n)))
|
|
}
|
|
|
|
/// Return self negated.
|
|
pub fn neg(self) -> Self {
|
|
Self(self.0 ^ (1 << 31))
|
|
}
|
|
|
|
/// Create a new `Ieee32` representing the number `x`.
|
|
pub fn with_float(x: f32) -> Self {
|
|
Self(x.to_bits())
|
|
}
|
|
|
|
/// Get the bitwise representation.
|
|
pub fn bits(self) -> u32 {
|
|
self.0
|
|
}
|
|
|
|
/// Check if the value is a NaN.
|
|
pub fn is_nan(&self) -> bool {
|
|
f32::from_bits(self.0).is_nan()
|
|
}
|
|
}
|
|
|
|
impl PartialOrd for Ieee32 {
|
|
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
|
|
f32::from_bits(self.0).partial_cmp(&f32::from_bits(other.0))
|
|
}
|
|
}
|
|
|
|
impl Display for Ieee32 {
|
|
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
|
|
let bits: u32 = self.0;
|
|
format_float(u64::from(bits), 8, 23, f)
|
|
}
|
|
}
|
|
|
|
impl FromStr for Ieee32 {
|
|
type Err = &'static str;
|
|
|
|
fn from_str(s: &str) -> Result<Self, &'static str> {
|
|
match parse_float(s, 8, 23) {
|
|
Ok(b) => Ok(Self(b as u32)),
|
|
Err(s) => Err(s),
|
|
}
|
|
}
|
|
}
|
|
|
|
impl From<f32> for Ieee32 {
|
|
fn from(x: f32) -> Self {
|
|
Self::with_float(x)
|
|
}
|
|
}
|
|
|
|
impl IntoBytes for Ieee32 {
|
|
fn into_bytes(self) -> Vec<u8> {
|
|
self.0.to_le_bytes().to_vec()
|
|
}
|
|
}
|
|
|
|
impl Ieee64 {
|
|
/// Create a new `Ieee64` containing the bits of `x`.
|
|
pub fn with_bits(x: u64) -> Self {
|
|
Self(x)
|
|
}
|
|
|
|
/// Create an `Ieee64` number representing `2.0^n`.
|
|
pub fn pow2<I: Into<i64>>(n: I) -> Self {
|
|
let n = n.into();
|
|
let w = 11;
|
|
let t = 52;
|
|
let bias = (1 << (w - 1)) - 1;
|
|
let exponent = (n + bias) as u64;
|
|
assert!(exponent > 0, "Underflow n={}", n);
|
|
assert!(exponent < (1 << w) + 1, "Overflow n={}", n);
|
|
Self(exponent << t)
|
|
}
|
|
|
|
/// Create an `Ieee64` number representing the greatest negative value
|
|
/// not convertable from f64 to a signed integer with width n.
|
|
pub fn fcvt_to_sint_negative_overflow<I: Into<i64>>(n: I) -> Self {
|
|
let n = n.into();
|
|
debug_assert!(n < 64);
|
|
debug_assert!(52 + 1 - n < 64);
|
|
Self::with_bits((1u64 << (64 - 1)) | Self::pow2(n - 1).0 | (1u64 << (52 + 1 - n)))
|
|
}
|
|
|
|
/// Return self negated.
|
|
pub fn neg(self) -> Self {
|
|
Self(self.0 ^ (1 << 63))
|
|
}
|
|
|
|
/// Create a new `Ieee64` representing the number `x`.
|
|
pub fn with_float(x: f64) -> Self {
|
|
Self(x.to_bits())
|
|
}
|
|
|
|
/// Get the bitwise representation.
|
|
pub fn bits(self) -> u64 {
|
|
self.0
|
|
}
|
|
|
|
/// Check if the value is a NaN. For [Ieee64], this means checking that the 11 exponent bits are
|
|
/// all set.
|
|
pub fn is_nan(&self) -> bool {
|
|
f64::from_bits(self.0).is_nan()
|
|
}
|
|
}
|
|
|
|
impl PartialOrd for Ieee64 {
|
|
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
|
|
f64::from_bits(self.0).partial_cmp(&f64::from_bits(other.0))
|
|
}
|
|
}
|
|
|
|
impl Display for Ieee64 {
|
|
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
|
|
let bits: u64 = self.0;
|
|
format_float(bits, 11, 52, f)
|
|
}
|
|
}
|
|
|
|
impl FromStr for Ieee64 {
|
|
type Err = &'static str;
|
|
|
|
fn from_str(s: &str) -> Result<Self, &'static str> {
|
|
match parse_float(s, 11, 52) {
|
|
Ok(b) => Ok(Self(b)),
|
|
Err(s) => Err(s),
|
|
}
|
|
}
|
|
}
|
|
|
|
impl From<f64> for Ieee64 {
|
|
fn from(x: f64) -> Self {
|
|
Self::with_float(x)
|
|
}
|
|
}
|
|
|
|
impl From<u64> for Ieee64 {
|
|
fn from(x: u64) -> Self {
|
|
Self::with_float(f64::from_bits(x))
|
|
}
|
|
}
|
|
|
|
impl IntoBytes for Ieee64 {
|
|
fn into_bytes(self) -> Vec<u8> {
|
|
self.0.to_le_bytes().to_vec()
|
|
}
|
|
}
|
|
|
|
#[cfg(test)]
|
|
mod tests {
|
|
use super::*;
|
|
use alloc::string::ToString;
|
|
use core::fmt::Display;
|
|
use core::mem;
|
|
use core::str::FromStr;
|
|
use core::{f32, f64};
|
|
|
|
#[test]
|
|
fn format_imm64() {
|
|
assert_eq!(Imm64(0).to_string(), "0");
|
|
assert_eq!(Imm64(9999).to_string(), "9999");
|
|
assert_eq!(Imm64(10000).to_string(), "0x2710");
|
|
assert_eq!(Imm64(-9999).to_string(), "-9999");
|
|
assert_eq!(Imm64(-10000).to_string(), "0xffff_ffff_ffff_d8f0");
|
|
assert_eq!(Imm64(0xffff).to_string(), "0xffff");
|
|
assert_eq!(Imm64(0x10000).to_string(), "0x0001_0000");
|
|
}
|
|
|
|
#[test]
|
|
fn format_uimm64() {
|
|
assert_eq!(Uimm64(0).to_string(), "0");
|
|
assert_eq!(Uimm64(9999).to_string(), "9999");
|
|
assert_eq!(Uimm64(10000).to_string(), "0x2710");
|
|
assert_eq!(Uimm64(-9999i64 as u64).to_string(), "0xffff_ffff_ffff_d8f1");
|
|
assert_eq!(
|
|
Uimm64(-10000i64 as u64).to_string(),
|
|
"0xffff_ffff_ffff_d8f0"
|
|
);
|
|
assert_eq!(Uimm64(0xffff).to_string(), "0xffff");
|
|
assert_eq!(Uimm64(0x10000).to_string(), "0x0001_0000");
|
|
}
|
|
|
|
// Verify that `text` can be parsed as a `T` into a value that displays as `want`.
|
|
fn parse_ok<T: FromStr + Display>(text: &str, want: &str)
|
|
where
|
|
<T as FromStr>::Err: Display,
|
|
{
|
|
match text.parse::<T>() {
|
|
Err(s) => panic!("\"{}\".parse() error: {}", text, s),
|
|
Ok(x) => assert_eq!(x.to_string(), want),
|
|
}
|
|
}
|
|
|
|
// Verify that `text` fails to parse as `T` with the error `msg`.
|
|
fn parse_err<T: FromStr + Display>(text: &str, msg: &str)
|
|
where
|
|
<T as FromStr>::Err: Display,
|
|
{
|
|
match text.parse::<T>() {
|
|
Err(s) => assert_eq!(s.to_string(), msg),
|
|
Ok(x) => panic!("Wanted Err({}), but got {}", msg, x),
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn parse_imm64() {
|
|
parse_ok::<Imm64>("0", "0");
|
|
parse_ok::<Imm64>("1", "1");
|
|
parse_ok::<Imm64>("-0", "0");
|
|
parse_ok::<Imm64>("-1", "-1");
|
|
parse_ok::<Imm64>("0x0", "0");
|
|
parse_ok::<Imm64>("0xf", "15");
|
|
parse_ok::<Imm64>("-0x9", "-9");
|
|
|
|
// Probe limits.
|
|
parse_ok::<Imm64>("0xffffffff_ffffffff", "-1");
|
|
parse_ok::<Imm64>("0x80000000_00000000", "0x8000_0000_0000_0000");
|
|
parse_ok::<Imm64>("-0x80000000_00000000", "0x8000_0000_0000_0000");
|
|
parse_err::<Imm64>("-0x80000000_00000001", "Negative number too small");
|
|
parse_ok::<Imm64>("18446744073709551615", "-1");
|
|
parse_ok::<Imm64>("-9223372036854775808", "0x8000_0000_0000_0000");
|
|
// Overflow both the `checked_add` and `checked_mul`.
|
|
parse_err::<Imm64>("18446744073709551616", "Too large decimal number");
|
|
parse_err::<Imm64>("184467440737095516100", "Too large decimal number");
|
|
parse_err::<Imm64>("-9223372036854775809", "Negative number too small");
|
|
|
|
// Underscores are allowed where digits go.
|
|
parse_ok::<Imm64>("0_0", "0");
|
|
parse_ok::<Imm64>("-_10_0", "-100");
|
|
parse_ok::<Imm64>("_10_", "10");
|
|
parse_ok::<Imm64>("0x97_88_bb", "0x0097_88bb");
|
|
parse_ok::<Imm64>("0x_97_", "151");
|
|
|
|
parse_err::<Imm64>("", "No digits in number");
|
|
parse_err::<Imm64>("-", "No digits in number");
|
|
parse_err::<Imm64>("_", "No digits in number");
|
|
parse_err::<Imm64>("0x", "No digits in number");
|
|
parse_err::<Imm64>("0x_", "No digits in number");
|
|
parse_err::<Imm64>("-0x", "No digits in number");
|
|
parse_err::<Imm64>(" ", "Invalid character in decimal number");
|
|
parse_err::<Imm64>("0 ", "Invalid character in decimal number");
|
|
parse_err::<Imm64>(" 0", "Invalid character in decimal number");
|
|
parse_err::<Imm64>("--", "Invalid character in decimal number");
|
|
parse_err::<Imm64>("-0x-", "Invalid character in hexadecimal number");
|
|
|
|
// Hex count overflow.
|
|
parse_err::<Imm64>("0x0_0000_0000_0000_0000", "Too many hexadecimal digits");
|
|
}
|
|
|
|
#[test]
|
|
fn parse_uimm64() {
|
|
parse_ok::<Uimm64>("0", "0");
|
|
parse_ok::<Uimm64>("1", "1");
|
|
parse_ok::<Uimm64>("0x0", "0");
|
|
parse_ok::<Uimm64>("0xf", "15");
|
|
parse_ok::<Uimm64>("0xffffffff_fffffff7", "0xffff_ffff_ffff_fff7");
|
|
|
|
// Probe limits.
|
|
parse_ok::<Uimm64>("0xffffffff_ffffffff", "0xffff_ffff_ffff_ffff");
|
|
parse_ok::<Uimm64>("0x80000000_00000000", "0x8000_0000_0000_0000");
|
|
parse_ok::<Uimm64>("18446744073709551615", "0xffff_ffff_ffff_ffff");
|
|
// Overflow both the `checked_add` and `checked_mul`.
|
|
parse_err::<Uimm64>("18446744073709551616", "Too large decimal number");
|
|
parse_err::<Uimm64>("184467440737095516100", "Too large decimal number");
|
|
|
|
// Underscores are allowed where digits go.
|
|
parse_ok::<Uimm64>("0_0", "0");
|
|
parse_ok::<Uimm64>("_10_", "10");
|
|
parse_ok::<Uimm64>("0x97_88_bb", "0x0097_88bb");
|
|
parse_ok::<Uimm64>("0x_97_", "151");
|
|
|
|
parse_err::<Uimm64>("", "No digits in number");
|
|
parse_err::<Uimm64>("_", "No digits in number");
|
|
parse_err::<Uimm64>("0x", "No digits in number");
|
|
parse_err::<Uimm64>("0x_", "No digits in number");
|
|
parse_err::<Uimm64>("-", "Invalid character in decimal number");
|
|
parse_err::<Uimm64>("-0x", "Invalid character in hexadecimal number");
|
|
parse_err::<Uimm64>(" ", "Invalid character in decimal number");
|
|
parse_err::<Uimm64>("0 ", "Invalid character in decimal number");
|
|
parse_err::<Uimm64>(" 0", "Invalid character in decimal number");
|
|
parse_err::<Uimm64>("--", "Invalid character in decimal number");
|
|
parse_err::<Uimm64>("-0x-", "Invalid character in hexadecimal number");
|
|
parse_err::<Uimm64>("-0", "Invalid character in decimal number");
|
|
parse_err::<Uimm64>("-1", "Invalid character in decimal number");
|
|
|
|
// Hex count overflow.
|
|
parse_err::<Uimm64>("0x0_0000_0000_0000_0000", "Too many hexadecimal digits");
|
|
}
|
|
|
|
#[test]
|
|
fn format_offset32() {
|
|
assert_eq!(Offset32(0).to_string(), "");
|
|
assert_eq!(Offset32(1).to_string(), "+1");
|
|
assert_eq!(Offset32(-1).to_string(), "-1");
|
|
assert_eq!(Offset32(9999).to_string(), "+9999");
|
|
assert_eq!(Offset32(10000).to_string(), "+0x2710");
|
|
assert_eq!(Offset32(-9999).to_string(), "-9999");
|
|
assert_eq!(Offset32(-10000).to_string(), "-0x2710");
|
|
assert_eq!(Offset32(0xffff).to_string(), "+0xffff");
|
|
assert_eq!(Offset32(0x10000).to_string(), "+0x0001_0000");
|
|
}
|
|
|
|
#[test]
|
|
fn parse_offset32() {
|
|
parse_ok::<Offset32>("+0", "");
|
|
parse_ok::<Offset32>("+1", "+1");
|
|
parse_ok::<Offset32>("-0", "");
|
|
parse_ok::<Offset32>("-1", "-1");
|
|
parse_ok::<Offset32>("+0x0", "");
|
|
parse_ok::<Offset32>("+0xf", "+15");
|
|
parse_ok::<Offset32>("-0x9", "-9");
|
|
parse_ok::<Offset32>("-0x8000_0000", "-0x8000_0000");
|
|
|
|
parse_err::<Offset32>("+0x8000_0000", "Offset out of range");
|
|
}
|
|
|
|
#[test]
|
|
fn format_ieee32() {
|
|
assert_eq!(Ieee32::with_float(0.0).to_string(), "0.0");
|
|
assert_eq!(Ieee32::with_float(-0.0).to_string(), "-0.0");
|
|
assert_eq!(Ieee32::with_float(1.0).to_string(), "0x1.000000p0");
|
|
assert_eq!(Ieee32::with_float(1.5).to_string(), "0x1.800000p0");
|
|
assert_eq!(Ieee32::with_float(0.5).to_string(), "0x1.000000p-1");
|
|
assert_eq!(
|
|
Ieee32::with_float(f32::EPSILON).to_string(),
|
|
"0x1.000000p-23"
|
|
);
|
|
assert_eq!(Ieee32::with_float(f32::MIN).to_string(), "-0x1.fffffep127");
|
|
assert_eq!(Ieee32::with_float(f32::MAX).to_string(), "0x1.fffffep127");
|
|
// Smallest positive normal number.
|
|
assert_eq!(
|
|
Ieee32::with_float(f32::MIN_POSITIVE).to_string(),
|
|
"0x1.000000p-126"
|
|
);
|
|
// Subnormals.
|
|
assert_eq!(
|
|
Ieee32::with_float(f32::MIN_POSITIVE / 2.0).to_string(),
|
|
"0x0.800000p-126"
|
|
);
|
|
assert_eq!(
|
|
Ieee32::with_float(f32::MIN_POSITIVE * f32::EPSILON).to_string(),
|
|
"0x0.000002p-126"
|
|
);
|
|
assert_eq!(Ieee32::with_float(f32::INFINITY).to_string(), "+Inf");
|
|
assert_eq!(Ieee32::with_float(f32::NEG_INFINITY).to_string(), "-Inf");
|
|
assert_eq!(Ieee32::with_float(f32::NAN).to_string(), "+NaN");
|
|
assert_eq!(Ieee32::with_float(-f32::NAN).to_string(), "-NaN");
|
|
// Construct some qNaNs with payloads.
|
|
assert_eq!(Ieee32(0x7fc00001).to_string(), "+NaN:0x1");
|
|
assert_eq!(Ieee32(0x7ff00001).to_string(), "+NaN:0x300001");
|
|
// Signaling NaNs.
|
|
assert_eq!(Ieee32(0x7f800001).to_string(), "+sNaN:0x1");
|
|
assert_eq!(Ieee32(0x7fa00001).to_string(), "+sNaN:0x200001");
|
|
}
|
|
|
|
#[test]
|
|
fn parse_ieee32() {
|
|
parse_ok::<Ieee32>("0.0", "0.0");
|
|
parse_ok::<Ieee32>("+0.0", "0.0");
|
|
parse_ok::<Ieee32>("-0.0", "-0.0");
|
|
parse_ok::<Ieee32>("0x0", "0.0");
|
|
parse_ok::<Ieee32>("0x0.0", "0.0");
|
|
parse_ok::<Ieee32>("0x.0", "0.0");
|
|
parse_ok::<Ieee32>("0x0.", "0.0");
|
|
parse_ok::<Ieee32>("0x1", "0x1.000000p0");
|
|
parse_ok::<Ieee32>("+0x1", "0x1.000000p0");
|
|
parse_ok::<Ieee32>("-0x1", "-0x1.000000p0");
|
|
parse_ok::<Ieee32>("0x10", "0x1.000000p4");
|
|
parse_ok::<Ieee32>("0x10.0", "0x1.000000p4");
|
|
parse_err::<Ieee32>("0.", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>(".0", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("0", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("-0", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>(".", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("-", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("0x", "No digits");
|
|
parse_err::<Ieee32>("0x..", "Multiple radix points");
|
|
|
|
// Check significant bits.
|
|
parse_ok::<Ieee32>("0x0.ffffff", "0x1.fffffep-1");
|
|
parse_ok::<Ieee32>("0x1.fffffe", "0x1.fffffep0");
|
|
parse_ok::<Ieee32>("0x3.fffffc", "0x1.fffffep1");
|
|
parse_ok::<Ieee32>("0x7.fffff8", "0x1.fffffep2");
|
|
parse_ok::<Ieee32>("0xf.fffff0", "0x1.fffffep3");
|
|
parse_err::<Ieee32>("0x1.ffffff", "Too many significant bits");
|
|
parse_err::<Ieee32>("0x1.fffffe0000000000", "Too many digits");
|
|
|
|
// Exponents.
|
|
parse_ok::<Ieee32>("0x1p3", "0x1.000000p3");
|
|
parse_ok::<Ieee32>("0x1p-3", "0x1.000000p-3");
|
|
parse_ok::<Ieee32>("0x1.0p3", "0x1.000000p3");
|
|
parse_ok::<Ieee32>("0x2.0p3", "0x1.000000p4");
|
|
parse_ok::<Ieee32>("0x1.0p127", "0x1.000000p127");
|
|
parse_ok::<Ieee32>("0x1.0p-126", "0x1.000000p-126");
|
|
parse_ok::<Ieee32>("0x0.1p-122", "0x1.000000p-126");
|
|
parse_err::<Ieee32>("0x2.0p127", "Magnitude too large");
|
|
|
|
// Subnormals.
|
|
parse_ok::<Ieee32>("0x1.0p-127", "0x0.800000p-126");
|
|
parse_ok::<Ieee32>("0x1.0p-149", "0x0.000002p-126");
|
|
parse_ok::<Ieee32>("0x0.000002p-126", "0x0.000002p-126");
|
|
parse_err::<Ieee32>("0x0.100001p-126", "Subnormal underflow");
|
|
parse_err::<Ieee32>("0x1.8p-149", "Subnormal underflow");
|
|
parse_err::<Ieee32>("0x1.0p-150", "Magnitude too small");
|
|
|
|
// NaNs and Infs.
|
|
parse_ok::<Ieee32>("Inf", "+Inf");
|
|
parse_ok::<Ieee32>("+Inf", "+Inf");
|
|
parse_ok::<Ieee32>("-Inf", "-Inf");
|
|
parse_ok::<Ieee32>("NaN", "+NaN");
|
|
parse_ok::<Ieee32>("+NaN", "+NaN");
|
|
parse_ok::<Ieee32>("-NaN", "-NaN");
|
|
parse_ok::<Ieee32>("NaN:0x0", "+NaN");
|
|
parse_err::<Ieee32>("NaN:", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("NaN:0", "Float must be hexadecimal");
|
|
parse_err::<Ieee32>("NaN:0x", "Invalid NaN payload");
|
|
parse_ok::<Ieee32>("NaN:0x000001", "+NaN:0x1");
|
|
parse_ok::<Ieee32>("NaN:0x300001", "+NaN:0x300001");
|
|
parse_err::<Ieee32>("NaN:0x400001", "Invalid NaN payload");
|
|
parse_ok::<Ieee32>("sNaN:0x1", "+sNaN:0x1");
|
|
parse_err::<Ieee32>("sNaN:0x0", "Invalid sNaN payload");
|
|
parse_ok::<Ieee32>("sNaN:0x200001", "+sNaN:0x200001");
|
|
parse_err::<Ieee32>("sNaN:0x400001", "Invalid sNaN payload");
|
|
}
|
|
|
|
#[test]
|
|
fn pow2_ieee32() {
|
|
assert_eq!(Ieee32::pow2(0).to_string(), "0x1.000000p0");
|
|
assert_eq!(Ieee32::pow2(1).to_string(), "0x1.000000p1");
|
|
assert_eq!(Ieee32::pow2(-1).to_string(), "0x1.000000p-1");
|
|
assert_eq!(Ieee32::pow2(127).to_string(), "0x1.000000p127");
|
|
assert_eq!(Ieee32::pow2(-126).to_string(), "0x1.000000p-126");
|
|
|
|
assert_eq!(Ieee32::pow2(1).neg().to_string(), "-0x1.000000p1");
|
|
}
|
|
|
|
#[test]
|
|
fn fcvt_to_sint_negative_overflow_ieee32() {
|
|
for n in &[8, 16] {
|
|
assert_eq!(-((1u32 << (n - 1)) as f32) - 1.0, unsafe {
|
|
mem::transmute(Ieee32::fcvt_to_sint_negative_overflow(*n))
|
|
});
|
|
}
|
|
}
|
|
|
|
#[test]
|
|
fn format_ieee64() {
|
|
assert_eq!(Ieee64::with_float(0.0).to_string(), "0.0");
|
|
assert_eq!(Ieee64::with_float(-0.0).to_string(), "-0.0");
|
|
assert_eq!(Ieee64::with_float(1.0).to_string(), "0x1.0000000000000p0");
|
|
assert_eq!(Ieee64::with_float(1.5).to_string(), "0x1.8000000000000p0");
|
|
assert_eq!(Ieee64::with_float(0.5).to_string(), "0x1.0000000000000p-1");
|
|
assert_eq!(
|
|
Ieee64::with_float(f64::EPSILON).to_string(),
|
|
"0x1.0000000000000p-52"
|
|
);
|
|
assert_eq!(
|
|
Ieee64::with_float(f64::MIN).to_string(),
|
|
"-0x1.fffffffffffffp1023"
|
|
);
|
|
assert_eq!(
|
|
Ieee64::with_float(f64::MAX).to_string(),
|
|
"0x1.fffffffffffffp1023"
|
|
);
|
|
// Smallest positive normal number.
|
|
assert_eq!(
|
|
Ieee64::with_float(f64::MIN_POSITIVE).to_string(),
|
|
"0x1.0000000000000p-1022"
|
|
);
|
|
// Subnormals.
|
|
assert_eq!(
|
|
Ieee64::with_float(f64::MIN_POSITIVE / 2.0).to_string(),
|
|
"0x0.8000000000000p-1022"
|
|
);
|
|
assert_eq!(
|
|
Ieee64::with_float(f64::MIN_POSITIVE * f64::EPSILON).to_string(),
|
|
"0x0.0000000000001p-1022"
|
|
);
|
|
assert_eq!(Ieee64::with_float(f64::INFINITY).to_string(), "+Inf");
|
|
assert_eq!(Ieee64::with_float(f64::NEG_INFINITY).to_string(), "-Inf");
|
|
assert_eq!(Ieee64::with_float(f64::NAN).to_string(), "+NaN");
|
|
assert_eq!(Ieee64::with_float(-f64::NAN).to_string(), "-NaN");
|
|
// Construct some qNaNs with payloads.
|
|
assert_eq!(Ieee64(0x7ff8000000000001).to_string(), "+NaN:0x1");
|
|
assert_eq!(
|
|
Ieee64(0x7ffc000000000001).to_string(),
|
|
"+NaN:0x4000000000001"
|
|
);
|
|
// Signaling NaNs.
|
|
assert_eq!(Ieee64(0x7ff0000000000001).to_string(), "+sNaN:0x1");
|
|
assert_eq!(
|
|
Ieee64(0x7ff4000000000001).to_string(),
|
|
"+sNaN:0x4000000000001"
|
|
);
|
|
}
|
|
|
|
#[test]
|
|
fn parse_ieee64() {
|
|
parse_ok::<Ieee64>("0.0", "0.0");
|
|
parse_ok::<Ieee64>("-0.0", "-0.0");
|
|
parse_ok::<Ieee64>("0x0", "0.0");
|
|
parse_ok::<Ieee64>("0x0.0", "0.0");
|
|
parse_ok::<Ieee64>("0x.0", "0.0");
|
|
parse_ok::<Ieee64>("0x0.", "0.0");
|
|
parse_ok::<Ieee64>("0x1", "0x1.0000000000000p0");
|
|
parse_ok::<Ieee64>("-0x1", "-0x1.0000000000000p0");
|
|
parse_ok::<Ieee64>("0x10", "0x1.0000000000000p4");
|
|
parse_ok::<Ieee64>("0x10.0", "0x1.0000000000000p4");
|
|
parse_err::<Ieee64>("0.", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>(".0", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("0", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("-0", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>(".", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("-", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("0x", "No digits");
|
|
parse_err::<Ieee64>("0x..", "Multiple radix points");
|
|
|
|
// Check significant bits.
|
|
parse_ok::<Ieee64>("0x0.fffffffffffff8", "0x1.fffffffffffffp-1");
|
|
parse_ok::<Ieee64>("0x1.fffffffffffff", "0x1.fffffffffffffp0");
|
|
parse_ok::<Ieee64>("0x3.ffffffffffffe", "0x1.fffffffffffffp1");
|
|
parse_ok::<Ieee64>("0x7.ffffffffffffc", "0x1.fffffffffffffp2");
|
|
parse_ok::<Ieee64>("0xf.ffffffffffff8", "0x1.fffffffffffffp3");
|
|
parse_err::<Ieee64>("0x3.fffffffffffff", "Too many significant bits");
|
|
parse_err::<Ieee64>("0x001.fffffe00000000", "Too many digits");
|
|
|
|
// Exponents.
|
|
parse_ok::<Ieee64>("0x1p3", "0x1.0000000000000p3");
|
|
parse_ok::<Ieee64>("0x1p-3", "0x1.0000000000000p-3");
|
|
parse_ok::<Ieee64>("0x1.0p3", "0x1.0000000000000p3");
|
|
parse_ok::<Ieee64>("0x2.0p3", "0x1.0000000000000p4");
|
|
parse_ok::<Ieee64>("0x1.0p1023", "0x1.0000000000000p1023");
|
|
parse_ok::<Ieee64>("0x1.0p-1022", "0x1.0000000000000p-1022");
|
|
parse_ok::<Ieee64>("0x0.1p-1018", "0x1.0000000000000p-1022");
|
|
parse_err::<Ieee64>("0x2.0p1023", "Magnitude too large");
|
|
|
|
// Subnormals.
|
|
parse_ok::<Ieee64>("0x1.0p-1023", "0x0.8000000000000p-1022");
|
|
parse_ok::<Ieee64>("0x1.0p-1074", "0x0.0000000000001p-1022");
|
|
parse_ok::<Ieee64>("0x0.0000000000001p-1022", "0x0.0000000000001p-1022");
|
|
parse_err::<Ieee64>("0x0.10000000000008p-1022", "Subnormal underflow");
|
|
parse_err::<Ieee64>("0x1.8p-1074", "Subnormal underflow");
|
|
parse_err::<Ieee64>("0x1.0p-1075", "Magnitude too small");
|
|
|
|
// NaNs and Infs.
|
|
parse_ok::<Ieee64>("Inf", "+Inf");
|
|
parse_ok::<Ieee64>("-Inf", "-Inf");
|
|
parse_ok::<Ieee64>("NaN", "+NaN");
|
|
parse_ok::<Ieee64>("-NaN", "-NaN");
|
|
parse_ok::<Ieee64>("NaN:0x0", "+NaN");
|
|
parse_err::<Ieee64>("NaN:", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("NaN:0", "Float must be hexadecimal");
|
|
parse_err::<Ieee64>("NaN:0x", "Invalid NaN payload");
|
|
parse_ok::<Ieee64>("NaN:0x000001", "+NaN:0x1");
|
|
parse_ok::<Ieee64>("NaN:0x4000000000001", "+NaN:0x4000000000001");
|
|
parse_err::<Ieee64>("NaN:0x8000000000001", "Invalid NaN payload");
|
|
parse_ok::<Ieee64>("sNaN:0x1", "+sNaN:0x1");
|
|
parse_err::<Ieee64>("sNaN:0x0", "Invalid sNaN payload");
|
|
parse_ok::<Ieee64>("sNaN:0x4000000000001", "+sNaN:0x4000000000001");
|
|
parse_err::<Ieee64>("sNaN:0x8000000000001", "Invalid sNaN payload");
|
|
}
|
|
|
|
#[test]
|
|
fn pow2_ieee64() {
|
|
assert_eq!(Ieee64::pow2(0).to_string(), "0x1.0000000000000p0");
|
|
assert_eq!(Ieee64::pow2(1).to_string(), "0x1.0000000000000p1");
|
|
assert_eq!(Ieee64::pow2(-1).to_string(), "0x1.0000000000000p-1");
|
|
assert_eq!(Ieee64::pow2(1023).to_string(), "0x1.0000000000000p1023");
|
|
assert_eq!(Ieee64::pow2(-1022).to_string(), "0x1.0000000000000p-1022");
|
|
|
|
assert_eq!(Ieee64::pow2(1).neg().to_string(), "-0x1.0000000000000p1");
|
|
}
|
|
|
|
#[test]
|
|
fn fcvt_to_sint_negative_overflow_ieee64() {
|
|
for n in &[8, 16, 32] {
|
|
assert_eq!(-((1u64 << (n - 1)) as f64) - 1.0, unsafe {
|
|
mem::transmute(Ieee64::fcvt_to_sint_negative_overflow(*n))
|
|
});
|
|
}
|
|
}
|
|
}
|