properly handle precision in Binary, Octal, LowerHex, UpperHex
This commit is contained in:
parent
76a0abe468
commit
2d5a5c3ada
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@ -25,7 +25,7 @@ number, and are rounded down at that precision.
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use fixed::{consts, types::I8F8};
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use fixed::{consts, types::I8F8};
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let tau = I8F8::from_num(consts::TAU);
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let tau = I8F8::from_num(consts::TAU);
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println!("τ = 2π with eight binary places is {:b}", tau);
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println!("τ = 2π with eight binary places is {:b}", tau);
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assert_eq!(format!("{:b}", tau), "110.01001000");
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assert_eq!(format!("{:.8b}", tau), "110.01001000");
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```
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```
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*/
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*/
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336
src/display.rs
336
src/display.rs
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@ -14,6 +14,7 @@
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// <https://opensource.org/licenses/MIT>.
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// <https://opensource.org/licenses/MIT>.
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use crate::{
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use crate::{
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frac::False,
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helpers::IntHelper,
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helpers::IntHelper,
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traits::Fixed,
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traits::Fixed,
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types::{LeEqU128, LeEqU16, LeEqU32, LeEqU64, LeEqU8},
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types::{LeEqU128, LeEqU16, LeEqU32, LeEqU64, LeEqU8},
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@ -21,124 +22,182 @@ use crate::{
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FixedU8,
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FixedU8,
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};
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};
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use core::{
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use core::{
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cmp::Ordering,
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cmp::{self, Ordering},
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fmt::{Binary, Debug, Display, Formatter, LowerHex, Octal, Result as FmtResult, UpperHex},
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fmt::{
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Alignment, Binary, Debug, Display, Formatter, LowerHex, Octal, Result as FmtResult,
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UpperHex,
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},
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mem, str,
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mem, str,
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};
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};
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trait Radix2 {
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fn pad(
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fn digit_bits(&self) -> u32;
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is_neg: bool,
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fn prefix(&self) -> &'static str;
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maybe_prefix: &str,
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fn encode_digits(&self, digits: &mut [u8]);
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abs: &str,
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}
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end_zeros: usize,
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macro_rules! radix2 {
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($Radix:ident($bits:expr, $prefix:expr), $($range:pat => $inc:expr),+) => {
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#[derive(Clone, Copy)]
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struct $Radix;
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impl Radix2 for $Radix {
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#[inline]
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fn digit_bits(&self) -> u32 {
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$bits
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}
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#[inline]
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fn prefix(&self) -> &'static str {
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$prefix
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}
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#[inline]
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fn encode_digits(&self, digits: &mut [u8]) {
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for digit in digits.iter_mut() {
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*digit += match *digit {
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$($range => $inc,)+
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_ => continue,
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};
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}
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}
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}
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};
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}
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radix2! { Bin(1, "0b"), 0..=1 => b'0' }
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radix2! { Oct(3, "0o"), 0..=7 => b'0' }
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radix2! { LowHex(4, "0x"), 0..=9 => b'0', 10..=15 => b'a' - 10 }
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radix2! { UpHex(4, "0x"), 0..=9 => b'0', 10..=15 => b'A' - 10 }
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trait FmtRadix2Helper: IntHelper {
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fn take_int_digit(&mut self, digit_bits: u32) -> u8;
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fn take_frac_digit(&mut self, digit_bits: u32) -> u8;
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}
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macro_rules! fmt_radix2_helper {
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($($UInner:ty)*) => { $(
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impl FmtRadix2Helper for $UInner {
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#[inline]
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fn take_int_digit(&mut self, digit_bits: u32) -> u8 {
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let mask = (1 << digit_bits) - 1;
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let ret = (*self & mask) as u8;
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*self >>= digit_bits;
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ret
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}
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#[inline]
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fn take_frac_digit(&mut self, digit_bits: u32) -> u8 {
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let nbits = <$UInner>::NBITS;
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let rem_bits = nbits - digit_bits;
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let mask = !0 << rem_bits;
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let ret = ((*self & mask) >> rem_bits) as u8;
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*self <<= digit_bits;
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ret
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}
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}
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)* };
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}
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fmt_radix2_helper! { u8 u16 u32 u64 u128 }
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fn fmt_radix2_helper<F: FmtRadix2Helper>(
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frac_bits: u32,
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(is_neg, mut int, mut frac): (bool, F, F),
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radix: &dyn Radix2,
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fmt: &mut Formatter,
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fmt: &mut Formatter,
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) -> FmtResult {
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) -> FmtResult {
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let int_bits = F::NBITS - frac_bits;
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use core::fmt::Write;
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let digit_bits: u32 = radix.digit_bits();
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let sign = if is_neg {
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// 128 binary digits, one radix point, one leading zero
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"-"
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let mut buf: [u8; 130] = [0; 130];
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} else if fmt.sign_plus() {
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let max_int_digits = (int_bits + digit_bits - 1) / digit_bits;
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"+"
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let frac_digits = (frac_bits + digit_bits - 1) / digit_bits;
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let (mut int_start, frac_start);
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if max_int_digits == 0 {
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buf[0] = b'0';
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buf[1] = b'.';
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int_start = 0;
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frac_start = 2;
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} else {
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} else {
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int_start = max_int_digits;
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""
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for r in buf[0..max_int_digits as usize].iter_mut().rev() {
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};
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*r = int.take_int_digit(digit_bits);
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let prefix = if fmt.alternate() { maybe_prefix } else { "" };
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int_start -= 1;
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let req_width = sign.len() + prefix.len() + abs.len() + end_zeros;
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if int == F::ZERO {
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let pad = fmt
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.width()
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.and_then(|w| w.checked_sub(req_width))
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.unwrap_or(0);
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let (pad_left, pad_zeros, pad_right) = if fmt.sign_aware_zero_pad() {
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(0, pad, 0)
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} else {
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match fmt.align() {
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Some(Alignment::Left) => (0, 0, pad),
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Some(Alignment::Center) => (pad / 2, 0, pad - pad / 2),
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None | Some(Alignment::Right) => (pad, 0, 0),
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}
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};
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let fill = fmt.fill();
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for _ in 0..pad_left {
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fmt.write_char(fill)?;
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}
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fmt.write_str(sign)?;
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fmt.write_str(prefix)?;
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for _ in 0..pad_zeros {
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fmt.write_char('0')?;
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}
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fmt.write_str(abs)?;
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for _ in 0..end_zeros {
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fmt.write_char('0')?;
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}
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for _ in 0..pad_right {
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fmt.write_char(fill)?;
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}
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Ok(())
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}
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#[derive(Clone, Copy)]
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enum Radix2 {
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Bin,
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Oct,
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LowHex,
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UpHex,
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}
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impl Radix2 {
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#[inline]
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fn digit_bits(self) -> u32 {
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match self {
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Radix2::Bin => 1,
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Radix2::Oct => 3,
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Radix2::LowHex => 4,
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Radix2::UpHex => 4,
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}
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}
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#[inline]
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fn prefix(self) -> &'static str {
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match self {
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Radix2::Bin => "0b",
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Radix2::Oct => "0o",
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Radix2::LowHex => "0x",
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Radix2::UpHex => "0x",
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}
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}
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#[inline]
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fn encode_digits(self, digits: &mut [u8]) {
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for digit in digits.iter_mut() {
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if *digit < 10 {
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*digit += b'0';
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} else if *digit < 16 {
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match self {
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Radix2::LowHex => *digit += b'a' - 10,
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_ => *digit += b'A' - 10,
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}
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}
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}
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}
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}
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fn fmt_radix2_helper<I>(
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(is_neg, mut int, mut frac): (bool, I, I),
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radix: Radix2,
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fmt: &mut Formatter,
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) -> FmtResult
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where
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I: IntHelper<IsSigned = False>,
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{
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let digit_bits = radix.digit_bits();
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let compl_digit_bits = I::NBITS - digit_bits;
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let int_digit_mask = !(!I::ZERO << digit_bits);
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// 128 binary digits, one radix point, one leading zero.
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// The leading zero has two purposes:
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// 1. If there are no integer bits, we still want to print "0." instead of ".".
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// 2. If rounding causes a carry, we can carry into this extra zero.
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let mut buf = [0u8; 130];
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// buf[1..int_digits + 1] => significant integer digits (could be b"")
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let int_digits = ((I::NBITS - int.leading_zeros() + digit_bits - 1) / digit_bits) as usize;
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for b in buf[1..int_digits + 1].iter_mut().rev() {
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*b = (int & int_digit_mask).lower_byte();
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int = int >> digit_bits;
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}
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// buf[int_digits + 1..int_digits + 2] => b"."
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buf[int_digits + 1] = b'.';
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// buf[int_digits + 2..int_digits + frac_digits + 2] => fractional digits
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let mut frac_digits =
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((I::NBITS - frac.trailing_zeros() + digit_bits - 1) / digit_bits) as usize;
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if let Some(precision) = fmt.precision() {
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frac_digits = cmp::min(frac_digits, precision);
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}
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for (i, b) in buf[int_digits + 2..int_digits + frac_digits + 2]
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.iter_mut()
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.enumerate()
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{
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*b = (frac >> compl_digit_bits).lower_byte();
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frac = frac << digit_bits;
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if frac == I::ZERO {
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frac_digits = i + 1;
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break;
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break;
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}
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}
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}
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}
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buf[max_int_digits as usize] = b'.';
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let least_significant_index = if frac_digits > 0 {
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frac_start = max_int_digits + 1;
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int_digits + frac_digits + 1
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}
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let end;
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if frac_digits == 0 {
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end = frac_start - 1;
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} else {
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} else {
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end = frac_start + frac_digits;
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int_digits
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for r in buf[frac_start as usize..end as usize].iter_mut() {
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};
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*r = frac.take_frac_digit(digit_bits);
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let round_up = frac > I::MSB || (frac == I::MSB && buf[least_significant_index].is_odd());
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if round_up {
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for b in buf[0..int_digits + frac_digits + 2].iter_mut().rev() {
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if *b < int_digit_mask.lower_byte() {
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*b += 1;
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break;
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}
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if *b == b'.' {
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continue;
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}
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*b = 0;
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if frac_digits > 0 {
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frac_digits -= 1;
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}
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}
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}
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}
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let used_buf = &mut buf[int_start as usize..end as usize];
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}
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let end_zeros = fmt.precision().map(|x| x - frac_digits).unwrap_or(0);
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let begin = if buf[0] > 0 || buf[1] == b'.' { 0 } else { 1 };
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let end = if frac_digits > 0 {
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int_digits + frac_digits + 2
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} else if end_zeros > 0 {
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int_digits + 2
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} else {
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int_digits + 1
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};
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let used_buf = &mut buf[begin..end];
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radix.encode_digits(used_buf);
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radix.encode_digits(used_buf);
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let str_buf = str::from_utf8(used_buf).unwrap();
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let str_buf = str::from_utf8(used_buf).unwrap();
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fmt.pad_integral(!is_neg, radix.prefix(), str_buf)
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pad(is_neg, radix.prefix(), str_buf, end_zeros, fmt)
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}
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}
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#[inline]
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#[inline]
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@ -164,12 +223,12 @@ where
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}
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}
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#[inline]
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#[inline]
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fn fmt_radix2<F: Fixed>(num: F, radix: &dyn Radix2, fmt: &mut Formatter) -> FmtResult
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fn fmt_radix2<F: Fixed>(num: F, radix: Radix2, fmt: &mut Formatter) -> FmtResult
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where
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where
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F::Bits: IntHelper,
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F::Bits: IntHelper,
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<F::Bits as IntHelper>::Unsigned: FmtRadix2Helper,
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<F::Bits as IntHelper>::Unsigned: IntHelper<IsSigned = False>,
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{
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{
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fmt_radix2_helper(F::frac_nbits(), parts(num), radix, fmt)
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fmt_radix2_helper(parts(num), radix, fmt)
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}
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}
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macro_rules! impl_fmt {
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macro_rules! impl_fmt {
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@ -188,25 +247,25 @@ macro_rules! impl_fmt {
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impl<Frac: $LeEqU> Binary for $Fixed<Frac> {
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impl<Frac: $LeEqU> Binary for $Fixed<Frac> {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fmt_radix2(*self, &Bin, f)
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fmt_radix2(*self, Radix2::Bin, f)
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}
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}
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}
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}
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impl<Frac: $LeEqU> Octal for $Fixed<Frac> {
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impl<Frac: $LeEqU> Octal for $Fixed<Frac> {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fmt_radix2(*self, &Oct, f)
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fmt_radix2(*self, Radix2::Oct, f)
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}
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}
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}
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}
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impl<Frac: $LeEqU> LowerHex for $Fixed<Frac> {
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impl<Frac: $LeEqU> LowerHex for $Fixed<Frac> {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fmt_radix2(*self, &LowHex, f)
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fmt_radix2(*self, Radix2::LowHex, f)
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}
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}
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}
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}
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impl<Frac: $LeEqU> UpperHex for $Fixed<Frac> {
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impl<Frac: $LeEqU> UpperHex for $Fixed<Frac> {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fn fmt(&self, f: &mut Formatter) -> FmtResult {
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fmt_radix2(*self, &UpHex, f)
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fmt_radix2(*self, Radix2::UpHex, f)
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}
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}
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}
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}
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};
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};
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@ -409,9 +468,10 @@ where
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#[cfg(test)]
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#[cfg(test)]
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mod tests {
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mod tests {
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use crate::{frac::Unsigned, *};
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use crate::{frac::Unsigned, *};
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use core::{
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use std::{
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fmt::{Debug, Error as FmtError, Formatter, Result as FmtResult, Write},
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fmt::{Debug, Error as FmtError, Formatter, Result as FmtResult, Write},
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mem,
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format, mem,
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string::String,
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};
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};
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struct Buf([u8; 256]);
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struct Buf([u8; 256]);
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@ -474,20 +534,56 @@ mod tests {
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}};
|
}};
|
||||||
}
|
}
|
||||||
|
|
||||||
|
fn trim_frac_zeros(mut x: &str) -> &str {
|
||||||
|
while x.ends_with('0') {
|
||||||
|
x = &x[..x.len() - 1];
|
||||||
|
}
|
||||||
|
if x.ends_with('.') {
|
||||||
|
x = &x[..x.len() - 1];
|
||||||
|
}
|
||||||
|
x
|
||||||
|
}
|
||||||
|
|
||||||
|
fn up_frac_digits(x: &mut String, frac_digits: usize) {
|
||||||
|
match x.find('.') {
|
||||||
|
Some(point) => match frac_digits.checked_sub(x.len() - point - 1) {
|
||||||
|
Some(additional) => {
|
||||||
|
x.reserve(additional);
|
||||||
|
for _ in 0..additional {
|
||||||
|
x.push('0');
|
||||||
|
}
|
||||||
|
}
|
||||||
|
None => {}
|
||||||
|
},
|
||||||
|
None => {
|
||||||
|
x.reserve(frac_digits + 1);
|
||||||
|
x.push('.');
|
||||||
|
for _ in 0..frac_digits {
|
||||||
|
x.push('0');
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
#[test]
|
#[test]
|
||||||
fn hex() {
|
fn hex() {
|
||||||
use crate::frac::U7 as Frac;
|
use crate::frac::U7 as Frac;
|
||||||
let frac = Frac::U32;
|
let frac = Frac::U32;
|
||||||
for i in 0..(1 << frac) {
|
for i in 0..(1u32 << frac) {
|
||||||
let p = 0x1234_5678_9abc_def0u64 ^ i as u64;
|
let p = 0x1234_5678_9abc_def0u64 ^ u64::from(i);
|
||||||
let n = -0x1234_5678_9abc_def0i64 ^ i64::from(i);
|
let n = -0x1234_5678_9abc_def0i64 ^ i64::from(i);
|
||||||
let f_p = FixedU64::<Frac>::from_bits(p);
|
let f_p = FixedU64::<Frac>::from_bits(p);
|
||||||
let f_n = FixedI64::<Frac>::from_bits(n);
|
let f_n = FixedI64::<Frac>::from_bits(n);
|
||||||
assert_eq_fmt!(("{:x}", f_p), ("{:x}.{:02x}", p >> frac, (p & 0x7f) << 1));
|
let mut check_p = format!("{:x}.{:02x}", p >> frac, (p & 0x7f) << 1);
|
||||||
assert_eq_fmt!(
|
up_frac_digits(&mut check_p, 1000);
|
||||||
("{:x}", f_n),
|
let trimmed_p = trim_frac_zeros(&check_p);
|
||||||
("-{:x}.{:02x}", n.abs() >> frac, (n.abs() & 0x7f) << 1)
|
let mut check_n = format!("-{:x}.{:02x}", n.abs() >> frac, (n.abs() & 0x7f) << 1);
|
||||||
);
|
up_frac_digits(&mut check_n, 1000);
|
||||||
|
let trimmed_n = trim_frac_zeros(&check_n);
|
||||||
|
assert_eq!(format!("{:.1000x}", f_p), check_p);
|
||||||
|
assert_eq!(format!("{:x}", f_p), trimmed_p);
|
||||||
|
assert_eq!(format!("{:.1000x}", f_n), check_n);
|
||||||
|
assert_eq!(format!("{:x}", f_n), trimmed_n);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
|
@ -49,6 +49,8 @@ where
|
||||||
fn overflowing_add(self, val: Self) -> (Self, bool);
|
fn overflowing_add(self, val: Self) -> (Self, bool);
|
||||||
fn overflowing_mul(self, val: Self) -> (Self, bool);
|
fn overflowing_mul(self, val: Self) -> (Self, bool);
|
||||||
fn leading_zeros(self) -> u32;
|
fn leading_zeros(self) -> u32;
|
||||||
|
fn trailing_zeros(self) -> u32;
|
||||||
|
fn lower_byte(self) -> u8;
|
||||||
|
|
||||||
fn to_fixed_helper(
|
fn to_fixed_helper(
|
||||||
self,
|
self,
|
||||||
|
@ -100,6 +102,16 @@ macro_rules! sealed_int {
|
||||||
self.leading_zeros()
|
self.leading_zeros()
|
||||||
}
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
fn trailing_zeros(self) -> u32 {
|
||||||
|
self.trailing_zeros()
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
fn lower_byte(self) -> u8 {
|
||||||
|
self as u8
|
||||||
|
}
|
||||||
|
|
||||||
#[inline]
|
#[inline]
|
||||||
fn to_repr_fixed(self) -> Self::ReprFixed {
|
fn to_repr_fixed(self) -> Self::ReprFixed {
|
||||||
Self::ReprFixed::from_bits(self.int_repr())
|
Self::ReprFixed::from_bits(self.int_repr())
|
||||||
|
|
Loading…
Reference in New Issue