Auto merge of #131 - murarth:str-radix, r=cuviper
Improve `to_str_radix` implementation
This commit is contained in:
commit
93db3998ef
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@ -24,6 +24,9 @@ rational = []
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bigint = ["rustc-serialize", "rand"]
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default = ["complex", "rational", "bigint"]
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[[bench]]
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name = "bigint"
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[[bench]]
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name = "shootout-pidigits"
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harness = false
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185
src/bigint.rs
185
src/bigint.rs
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@ -73,7 +73,7 @@ use std::{i64, u64};
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use rand::Rng;
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use rustc_serialize::hex::ToHex;
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use traits::{ToPrimitive, FromPrimitive, cast};
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use traits::{ToPrimitive, FromPrimitive};
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use {Num, Unsigned, CheckedAdd, CheckedSub, CheckedMul, CheckedDiv, Signed, Zero, One};
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use self::Sign::{Minus, NoSign, Plus};
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@ -179,7 +179,7 @@ impl hash::Hash for BigUint {
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impl fmt::Display for BigUint {
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fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
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write!(f, "{}", to_str_radix(self, 10))
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write!(f, "{}", self.to_str_radix(10))
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}
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}
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@ -809,100 +809,68 @@ impl_to_biguint!(u16, FromPrimitive::from_u16);
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impl_to_biguint!(u32, FromPrimitive::from_u32);
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impl_to_biguint!(u64, FromPrimitive::from_u64);
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// Cribbed from core/fmt/num.rs
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#[derive(Copy, Clone)]
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pub struct RadixFmt {
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data: BigDigit,
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base: u8
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}
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fn to_str_radix_reversed(u: &BigUint, radix: u32) -> Vec<u8> {
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if radix < 2 || radix > 36 {
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panic!("invalid radix: {}", radix);
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}
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impl RadixFmt {
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fn digit(&self, x: u8) -> u8 {
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match x {
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x @ 0 ... 9 => b'0' + x,
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x if x < self.base => b'a' + (x - 10),
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x => panic!("number not in the range 0..{}: {}", self.base - 1, x),
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if u.is_zero() {
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vec![b'0']
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} else {
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let mut res = Vec::new();
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let mut digits = u.data.to_vec();
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let mut n_digits = digits.len();
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while n_digits != 0 {
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let rem = div_rem_in_place(&mut digits[..n_digits], radix);
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res.push(to_digit(rem as u8));
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n_digits = count_non_zero(&digits[..n_digits]);
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}
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res
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}
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}
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impl fmt::Display for RadixFmt {
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fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
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// The radix can be as low as 2, so we need a buffer of at least 64
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// characters for a base 2 number.
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let mut x = self.data;
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let zero = 0;
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let is_positive = x >= zero;
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let mut buf = [0u8; 64];
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let mut curr = buf.len();
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let base = self.base as BigDigit;
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if is_positive {
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// Accumulate each digit of the number from the least significant
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// to the most significant figure.
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for byte in buf.iter_mut().rev() {
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let n = x % base; // Get the current place value.
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x = x / base; // Deaccumulate the number.
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*byte = self.digit(cast(n).unwrap()); // Store the digit in the buffer.
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curr -= 1;
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if x == zero { break }; // No more digits left to accumulate.
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}
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fn div_rem_in_place(digits: &mut [BigDigit], divisor: BigDigit) -> BigDigit {
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let mut rem = 0;
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for d in digits.iter_mut().rev() {
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let (q, r) = full_div_rem(*d, divisor, rem);
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*d = q;
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rem = r;
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}
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rem
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}
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fn count_non_zero(digits: &[u32]) -> usize {
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let mut n = digits.len();
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for &i in digits.iter().rev() {
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if i == 0 {
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n -= 1;
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} else {
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// Do the same as above, but accounting for two's complement.
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for byte in buf.iter_mut().rev() {
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let n = zero - (x % base); // Get the current place value.
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x = x / base; // Deaccumulate the number.
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*byte = self.digit(cast(n).unwrap()); // Store the digit in the buffer.
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curr -= 1;
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if x == zero { break }; // No more digits left to accumulate.
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}
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break;
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}
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let buf = unsafe { str::from_utf8_unchecked(&buf[curr..]) };
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f.pad_integral(is_positive, "", buf)
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}
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n
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}
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fn to_str_radix(me: &BigUint, radix: u32) -> String {
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assert!(1 < radix && radix <= 16, "The radix must be within (1, 16]");
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let (base, max_len) = get_radix_base(radix);
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if base == big_digit::BASE {
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return fill_concat(&me.data, radix, max_len)
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}
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return fill_concat(&convert_base(me, base), radix, max_len);
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fn full_div_rem(a: BigDigit, b: BigDigit, borrow: BigDigit) -> (BigDigit, BigDigit) {
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let lo = a as DoubleBigDigit;
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let hi = borrow as DoubleBigDigit;
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fn convert_base(n: &BigUint, base: DoubleBigDigit) -> Vec<BigDigit> {
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let divider = base.to_biguint().unwrap();
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let mut result = Vec::new();
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let mut m = n.clone();
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while m >= divider {
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let (d, m0) = m.div_mod_floor(÷r);
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result.push(m0.to_usize().unwrap() as BigDigit);
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m = d;
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}
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if !m.is_zero() {
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result.push(m.to_usize().unwrap() as BigDigit);
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}
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return result;
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}
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fn fill_concat(v: &[BigDigit], radix: u32, l: usize) -> String {
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if v.is_empty() {
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return "0".to_string()
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}
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let mut s = String::with_capacity(v.len() * l);
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for n in v.iter().rev() {
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let ss = format!("{}", RadixFmt { data: *n, base: radix as u8 });
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s.extend(repeat("0").take(l - ss.len()));
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s.push_str(&ss);
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}
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s.trim_left_matches('0').to_string()
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}
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let lhs = lo | (hi << big_digit::BITS);
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let rhs = b as DoubleBigDigit;
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((lhs / rhs) as BigDigit, (lhs % rhs) as BigDigit)
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}
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fn to_str_radix_signed(me: &BigInt, radix: u32) -> String {
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match me.sign {
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Plus => to_str_radix(&me.data, radix),
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NoSign => "0".to_string(),
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Minus => format!("-{}", to_str_radix(&me.data, radix)),
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fn to_digit(b: u8) -> u8 {
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match b {
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0 ... 9 => b'0' + b,
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10 ... 35 => b'a' - 10 + b,
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_ => panic!("invalid digit: {}", b)
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}
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}
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@ -1013,6 +981,24 @@ impl BigUint {
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v
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}
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/// Returns the integer formatted as a string in the given radix.
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/// `radix` must be in the range `[2, 36]`.
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///
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/// # Examples
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///
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/// ```
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/// use num::bigint::BigUint;
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///
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/// let i = BigUint::parse_bytes(b"ff", 16).unwrap();
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/// assert_eq!(i.to_str_radix(16), "ff");
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/// ```
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#[inline]
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pub fn to_str_radix(&self, radix: u32) -> String {
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let mut v = to_str_radix_reversed(self, radix);
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v.reverse();
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unsafe { String::from_utf8_unchecked(v) }
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}
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/// Creates and initializes a `BigUint`.
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///
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/// # Examples
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@ -1168,7 +1154,7 @@ impl Default for BigInt {
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impl fmt::Display for BigInt {
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fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
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write!(f, "{}", to_str_radix_signed(self, 10))
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write!(f, "{}", self.to_str_radix(10))
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}
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}
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@ -1779,6 +1765,29 @@ impl BigInt {
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(self.sign, self.data.to_bytes_be())
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}
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/// Returns the integer formatted as a string in the given radix.
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/// `radix` must be in the range `[2, 36]`.
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///
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/// # Examples
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///
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/// ```
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/// use num::bigint::BigInt;
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///
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/// let i = BigInt::parse_bytes(b"ff", 16).unwrap();
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/// assert_eq!(i.to_str_radix(16), "ff");
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/// ```
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#[inline]
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pub fn to_str_radix(&self, radix: u32) -> String {
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let mut v = to_str_radix_reversed(&self.data, radix);
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if self.is_negative() {
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v.push(b'-');
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}
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v.reverse();
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unsafe { String::from_utf8_unchecked(v) }
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}
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/// Returns the sign of the `BigInt` as a `Sign`.
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///
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/// # Examples
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@ -1874,7 +1883,7 @@ impl From<ParseIntError> for ParseBigIntError {
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#[cfg(test)]
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mod biguint_tests {
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use Integer;
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use super::{BigDigit, BigUint, ToBigUint, to_str_radix, big_digit};
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use super::{BigDigit, BigUint, ToBigUint, big_digit};
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use super::{BigInt, RandBigInt, ToBigInt};
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use super::Sign::Plus;
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@ -2059,7 +2068,7 @@ mod biguint_tests {
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fn test_shl() {
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fn check(s: &str, shift: usize, ans: &str) {
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let opt_biguint = BigUint::from_str_radix(s, 16).ok();
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let bu = to_str_radix(&(opt_biguint.unwrap() << shift), 16);
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let bu = (opt_biguint.unwrap() << shift).to_str_radix(16);
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assert_eq!(bu, ans);
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}
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@ -2180,7 +2189,7 @@ mod biguint_tests {
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fn test_shr() {
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fn check(s: &str, shift: usize, ans: &str) {
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let opt_biguint = BigUint::from_str_radix(s, 16).ok();
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let bu = to_str_radix(&(opt_biguint.unwrap() >> shift), 16);
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let bu = (opt_biguint.unwrap() >> shift).to_str_radix(16);
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assert_eq!(bu, ans);
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}
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@ -2684,7 +2693,7 @@ mod biguint_tests {
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let &(ref n, ref rs) = num_pair;
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for str_pair in rs.iter() {
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let &(ref radix, ref str) = str_pair;
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assert_eq!(to_str_radix(n, *radix), *str);
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assert_eq!(n.to_str_radix(*radix), *str);
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}
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}
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}
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