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</pre><pre class="rust"><code><span class="comment">// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT
// file at the top-level directory of this distribution and at
// http://rust-lang.org/COPYRIGHT.
//
// Licensed under the Apache License, Version 2.0 &lt;LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0&gt; or the MIT license
// &lt;LICENSE-MIT or http://opensource.org/licenses/MIT&gt;, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
</span><span class="doccomment">//! A Big integer (signed version: `BigInt`, unsigned version: `BigUint`).
//!
//! A `BigUint` is represented as a vector of `BigDigit`s.
//! A `BigInt` is a combination of `BigUint` and `Sign`.
//!
//! Common numerical operations are overloaded, so we can treat them
//! the same way we treat other numbers.
//!
//! ## Example
//!
//! ```rust
//! # fn main() {
//! use num_bigint::BigUint;
//! use num_traits::{Zero, One};
//! use std::mem::replace;
//!
//! // Calculate large fibonacci numbers.
//! fn fib(n: usize) -&gt; BigUint {
//! let mut f0: BigUint = Zero::zero();
//! let mut f1: BigUint = One::one();
//! for _ in 0..n {
//! let f2 = f0 + &amp;f1;
//! // This is a low cost way of swapping f0 with f1 and f1 with f2.
//! f0 = replace(&amp;mut f1, f2);
//! }
//! f0
//! }
//!
//! // This is a very large number.
//! println!(&quot;fib(1000) = {}&quot;, fib(1000));
//! # }
//! ```
//!
//! It&#39;s easy to generate large random numbers:
//!
//! ```rust,ignore
//! use num_bigint::{ToBigInt, RandBigInt};
//!
//! let mut rng = rand::thread_rng();
//! let a = rng.gen_bigint(1000);
//!
//! let low = -10000.to_bigint().unwrap();
//! let high = 10000.to_bigint().unwrap();
//! let b = rng.gen_bigint_range(&amp;low, &amp;high);
//!
//! // Probably an even larger number.
//! println!(&quot;{}&quot;, a * b);
//! ```
//!
//! See the &quot;Features&quot; section for instructions for enabling random number generation.
//!
//! ## Features
//!
//! The `std` crate feature is enabled by default, and is mandatory before Rust
//! 1.36 and the stabilized `alloc` crate. If you depend on `num-bigint` with
//! `default-features = false`, you must manually enable the `std` feature yourself
//! if your compiler is not new enough.
//!
//! ### Random Generation
//!
//! `num-bigint` supports the generation of random big integers when the `rand`
//! feature is enabled. To enable it include rand as
//!
//! ```toml
//! rand = &quot;0.7&quot;
//! num-bigint = { version = &quot;0.3&quot;, features = [&quot;rand&quot;] }
//! ```
//!
//! Note that you must use the version of `rand` that `num-bigint` is compatible
//! with: `0.7`.
//!
//!
//! ## Compatibility
//!
//! The `num-bigint` crate is tested for rustc 1.31 and greater.
</span><span class="attribute">#![doc(html_root_url = <span class="string">&quot;https://docs.rs/num-bigint/0.3&quot;</span>)]
#![no_std]
#[cfg(feature = <span class="string">&quot;std&quot;</span>)]
#[macro_use]
</span><span class="kw">extern crate </span>std;
<span class="attribute">#[cfg(feature = <span class="string">&quot;std&quot;</span>)]
</span><span class="kw">mod </span>std_alloc {
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>std::borrow::Cow;
<span class="attribute">#[cfg(any(feature = <span class="string">&quot;quickcheck&quot;</span>, feature = <span class="string">&quot;arbitrary&quot;</span>))]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>std::boxed::Box;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>std::string::String;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>std::vec::Vec;
}
<span class="attribute">#[cfg(not(feature = <span class="string">&quot;std&quot;</span>))]
#[macro_use]
</span><span class="kw">extern crate </span>alloc;
<span class="attribute">#[cfg(not(feature = <span class="string">&quot;std&quot;</span>))]
</span><span class="kw">mod </span>std_alloc {
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>alloc::borrow::Cow;
<span class="attribute">#[cfg(any(feature = <span class="string">&quot;quickcheck&quot;</span>, feature = <span class="string">&quot;arbitrary&quot;</span>))]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>alloc::boxed::Box;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>alloc::string::String;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">use </span>alloc::vec::Vec;
}
<span class="kw">use </span>core::fmt;
<span class="attribute">#[cfg(feature = <span class="string">&quot;std&quot;</span>)]
</span><span class="kw">use </span>std::error::Error;
<span class="attribute">#[macro_use]
</span><span class="kw">mod </span>macros;
<span class="kw">mod </span>bigint;
<span class="kw">mod </span>biguint;
<span class="attribute">#[cfg(feature = <span class="string">&quot;rand&quot;</span>)]
</span><span class="kw">mod </span>bigrand;
<span class="attribute">#[cfg(target_pointer_width = <span class="string">&quot;32&quot;</span>)]
</span><span class="kw">type </span>UsizePromotion = u32;
<span class="attribute">#[cfg(target_pointer_width = <span class="string">&quot;64&quot;</span>)]
</span><span class="kw">type </span>UsizePromotion = u64;
<span class="attribute">#[cfg(target_pointer_width = <span class="string">&quot;32&quot;</span>)]
</span><span class="kw">type </span>IsizePromotion = i32;
<span class="attribute">#[cfg(target_pointer_width = <span class="string">&quot;64&quot;</span>)]
</span><span class="kw">type </span>IsizePromotion = i64;
<span class="attribute">#[derive(Debug, Clone, PartialEq, Eq)]
</span><span class="kw">pub struct </span>ParseBigIntError {
kind: BigIntErrorKind,
}
<span class="attribute">#[derive(Debug, Clone, PartialEq, Eq)]
</span><span class="kw">enum </span>BigIntErrorKind {
Empty,
InvalidDigit,
}
<span class="kw">impl </span>ParseBigIntError {
<span class="kw">fn </span>__description(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>str {
<span class="kw">use </span><span class="kw">crate</span>::BigIntErrorKind::<span class="kw-2">*</span>;
<span class="kw">match </span><span class="self">self</span>.kind {
Empty =&gt; <span class="string">&quot;cannot parse integer from empty string&quot;</span>,
InvalidDigit =&gt; <span class="string">&quot;invalid digit found in string&quot;</span>,
}
}
<span class="kw">fn </span>empty() -&gt; <span class="self">Self </span>{
ParseBigIntError {
kind: BigIntErrorKind::Empty,
}
}
<span class="kw">fn </span>invalid() -&gt; <span class="self">Self </span>{
ParseBigIntError {
kind: BigIntErrorKind::InvalidDigit,
}
}
}
<span class="kw">impl </span>fmt::Display <span class="kw">for </span>ParseBigIntError {
<span class="kw">fn </span>fmt(<span class="kw-2">&amp;</span><span class="self">self</span>, f: <span class="kw-2">&amp;mut </span>fmt::Formatter&lt;<span class="lifetime">&#39;_</span>&gt;) -&gt; fmt::Result {
<span class="self">self</span>.__description().fmt(f)
}
}
<span class="attribute">#[cfg(feature = <span class="string">&quot;std&quot;</span>)]
</span><span class="kw">impl </span>Error <span class="kw">for </span>ParseBigIntError {
<span class="kw">fn </span>description(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>str {
<span class="self">self</span>.__description()
}
}
<span class="doccomment">/// The error type returned when a checked conversion regarding big integer fails.
</span><span class="attribute">#[cfg(has_try_from)]
#[derive(Debug, Copy, Clone, PartialEq, Eq)]
</span><span class="kw">pub struct </span>TryFromBigIntError&lt;T&gt; {
original: T,
}
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">impl</span>&lt;T&gt; TryFromBigIntError&lt;T&gt; {
<span class="kw">fn </span>new(original: T) -&gt; <span class="self">Self </span>{
TryFromBigIntError { original }
}
<span class="kw">fn </span>__description(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>str {
<span class="string">&quot;out of range conversion regarding big integer attempted&quot;
</span>}
<span class="doccomment">/// Extract the original value, if available. The value will be available
/// if the type before conversion was either [`BigInt`] or [`BigUint`].
///
/// [`BigInt`]: struct.BigInt.html
/// [`BigUint`]: struct.BigUint.html
</span><span class="kw">pub fn </span>into_original(<span class="self">self</span>) -&gt; T {
<span class="self">self</span>.original
}
}
<span class="attribute">#[cfg(all(feature = <span class="string">&quot;std&quot;</span>, has_try_from))]
</span><span class="kw">impl</span>&lt;T&gt; std::error::Error <span class="kw">for </span>TryFromBigIntError&lt;T&gt;
<span class="kw">where
</span>T: fmt::Debug,
{
<span class="kw">fn </span>description(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>str {
<span class="self">self</span>.__description()
}
}
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">impl</span>&lt;T&gt; fmt::Display <span class="kw">for </span>TryFromBigIntError&lt;T&gt; {
<span class="kw">fn </span>fmt(<span class="kw-2">&amp;</span><span class="self">self</span>, f: <span class="kw-2">&amp;mut </span>fmt::Formatter) -&gt; fmt::Result {
<span class="self">self</span>.__description().fmt(f)
}
}
<span class="kw">pub use </span><span class="kw">crate</span>::biguint::BigUint;
<span class="kw">pub use </span><span class="kw">crate</span>::biguint::ToBigUint;
<span class="kw">pub use </span><span class="kw">crate</span>::biguint::U32Digits;
<span class="kw">pub use </span><span class="kw">crate</span>::biguint::U64Digits;
<span class="kw">pub use </span><span class="kw">crate</span>::bigint::BigInt;
<span class="kw">pub use </span><span class="kw">crate</span>::bigint::Sign;
<span class="kw">pub use </span><span class="kw">crate</span>::bigint::ToBigInt;
<span class="attribute">#[cfg(feature = <span class="string">&quot;rand&quot;</span>)]
</span><span class="kw">pub use </span><span class="kw">crate</span>::bigrand::{RandBigInt, RandomBits, UniformBigInt, UniformBigUint};
<span class="kw">mod </span>big_digit {
<span class="doccomment">/// A `BigDigit` is a `BigUint`&#39;s composing element.
</span><span class="attribute">#[cfg(not(u64_digit))]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">type </span>BigDigit = u32;
<span class="attribute">#[cfg(u64_digit)]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">type </span>BigDigit = u64;
<span class="doccomment">/// A `DoubleBigDigit` is the internal type used to do the computations. Its
/// size is the double of the size of `BigDigit`.
</span><span class="attribute">#[cfg(not(u64_digit))]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">type </span>DoubleBigDigit = u64;
<span class="attribute">#[cfg(u64_digit)]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">type </span>DoubleBigDigit = u128;
<span class="doccomment">/// A `SignedDoubleBigDigit` is the signed version of `DoubleBigDigit`.
</span><span class="attribute">#[cfg(not(u64_digit))]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">type </span>SignedDoubleBigDigit = i64;
<span class="attribute">#[cfg(u64_digit)]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">type </span>SignedDoubleBigDigit = i128;
<span class="comment">// `DoubleBigDigit` size dependent
</span><span class="attribute">#[cfg(not(u64_digit))]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">const </span>BITS: u8 = <span class="number">32</span>;
<span class="attribute">#[cfg(u64_digit)]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">const </span>BITS: u8 = <span class="number">64</span>;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">const </span>HALF_BITS: u8 = BITS / <span class="number">2</span>;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">const </span>HALF: BigDigit = (<span class="number">1 </span>&lt;&lt; HALF_BITS) - <span class="number">1</span>;
<span class="kw">const </span>LO_MASK: DoubleBigDigit = (<span class="number">1 </span>&lt;&lt; BITS) - <span class="number">1</span>;
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">const </span>MAX: BigDigit = LO_MASK <span class="kw">as </span>BigDigit;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>get_hi(n: DoubleBigDigit) -&gt; BigDigit {
(n &gt;&gt; BITS) <span class="kw">as </span>BigDigit
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>get_lo(n: DoubleBigDigit) -&gt; BigDigit {
(n &amp; LO_MASK) <span class="kw">as </span>BigDigit
}
<span class="doccomment">/// Split one `DoubleBigDigit` into two `BigDigit`s.
</span><span class="attribute">#[inline]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">fn </span>from_doublebigdigit(n: DoubleBigDigit) -&gt; (BigDigit, BigDigit) {
(get_hi(n), get_lo(n))
}
<span class="doccomment">/// Join two `BigDigit`s into one `DoubleBigDigit`
</span><span class="attribute">#[inline]
</span><span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">fn </span>to_doublebigdigit(hi: BigDigit, lo: BigDigit) -&gt; DoubleBigDigit {
DoubleBigDigit::from(lo) | (DoubleBigDigit::from(hi) &lt;&lt; BITS)
}
}
</code></pre></div>
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