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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/num-bigint-0.2.6/src/bigint.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>bigint.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../num_bigint/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../num_bigint/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span>
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</pre><pre class="rust"><code><span class="attribute">#[allow(deprecated, unused_imports)]
</span><span class="kw">use </span>std::ascii::AsciiExt;
<span class="kw">use </span>std::cmp::Ordering::{<span class="self">self</span>, Equal, Greater, Less};
<span class="kw">use </span>std::default::Default;
<span class="kw">use </span>std::fmt;
<span class="kw">use </span>std::iter::{Product, Sum};
<span class="kw">use </span>std::mem;
<span class="kw">use </span>std::ops::{
Add, AddAssign, BitAnd, BitAndAssign, BitOr, BitOrAssign, BitXor, BitXorAssign, Div, DivAssign,
Mul, MulAssign, Neg, Not, Rem, RemAssign, Shl, ShlAssign, Shr, ShrAssign, Sub, SubAssign,
};
<span class="kw">use </span>std::str::{<span class="self">self</span>, FromStr};
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">use </span>std::{i128, u128};
<span class="kw">use </span>std::{i64, u64};
<span class="attribute">#[cfg(feature = <span class="string">&quot;serde&quot;</span>)]
</span><span class="kw">use </span>serde;
<span class="kw">use </span>integer::{Integer, Roots};
<span class="kw">use </span>traits::{
CheckedAdd, CheckedDiv, CheckedMul, CheckedSub, FromPrimitive, Num, One, Pow, Signed,
ToPrimitive, Zero,
};
<span class="kw">use </span><span class="self">self</span>::Sign::{Minus, NoSign, Plus};
<span class="kw">use </span><span class="kw">super</span>::ParseBigIntError;
<span class="kw">use </span>big_digit::{<span class="self">self</span>, BigDigit, DoubleBigDigit};
<span class="kw">use </span>biguint;
<span class="kw">use </span>biguint::to_str_radix_reversed;
<span class="kw">use </span>biguint::{BigUint, IntDigits};
<span class="kw">use </span>IsizePromotion;
<span class="kw">use </span>UsizePromotion;
<span class="attribute">#[cfg(feature = <span class="string">&quot;quickcheck&quot;</span>)]
</span><span class="kw">use </span>quickcheck::{Arbitrary, Gen};
<span class="doccomment">/// A Sign is a `BigInt`&#39;s composing element.
</span><span class="attribute">#[derive(PartialEq, PartialOrd, Eq, Ord, Copy, Clone, Debug, Hash)]
</span><span class="kw">pub enum </span>Sign {
Minus,
NoSign,
Plus,
}
<span class="kw">impl </span>Neg <span class="kw">for </span>Sign {
<span class="kw">type </span>Output = Sign;
<span class="doccomment">/// Negate Sign value.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>neg(<span class="self">self</span>) -&gt; Sign {
<span class="kw">match </span><span class="self">self </span>{
Minus =&gt; Plus,
NoSign =&gt; NoSign,
Plus =&gt; Minus,
}
}
}
<span class="kw">impl </span>Mul&lt;Sign&gt; <span class="kw">for </span>Sign {
<span class="kw">type </span>Output = Sign;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: Sign) -&gt; Sign {
<span class="kw">match </span>(<span class="self">self</span>, other) {
(NoSign, <span class="kw">_</span>) | (<span class="kw">_</span>, NoSign) =&gt; NoSign,
(Plus, Plus) | (Minus, Minus) =&gt; Plus,
(Plus, Minus) | (Minus, Plus) =&gt; Minus,
}
}
}
<span class="attribute">#[cfg(feature = <span class="string">&quot;serde&quot;</span>)]
</span><span class="kw">impl </span>serde::Serialize <span class="kw">for </span>Sign {
<span class="kw">fn </span>serialize&lt;S&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, serializer: S) -&gt; <span class="prelude-ty">Result</span>&lt;S::Ok, S::Error&gt;
<span class="kw">where
</span>S: serde::Serializer,
{
<span class="comment">// Note: do not change the serialization format, or it may break
// forward and backward compatibility of serialized data!
</span><span class="kw">match </span><span class="kw-2">*</span><span class="self">self </span>{
Sign::Minus =&gt; (-<span class="number">1i8</span>).serialize(serializer),
Sign::NoSign =&gt; <span class="number">0i8</span>.serialize(serializer),
Sign::Plus =&gt; <span class="number">1i8</span>.serialize(serializer),
}
}
}
<span class="attribute">#[cfg(feature = <span class="string">&quot;serde&quot;</span>)]
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;de</span>&gt; serde::Deserialize&lt;<span class="lifetime">&#39;de</span>&gt; <span class="kw">for </span>Sign {
<span class="kw">fn </span>deserialize&lt;D&gt;(deserializer: D) -&gt; <span class="prelude-ty">Result</span>&lt;<span class="self">Self</span>, D::Error&gt;
<span class="kw">where
</span>D: serde::Deserializer&lt;<span class="lifetime">&#39;de</span>&gt;,
{
<span class="kw">use </span>serde::de::Error;
<span class="kw">use </span>serde::de::Unexpected;
<span class="kw">let </span>sign: i8 = serde::Deserialize::deserialize(deserializer)<span class="question-mark">?</span>;
<span class="kw">match </span>sign {
-<span class="number">1 </span>=&gt; <span class="prelude-val">Ok</span>(Sign::Minus),
<span class="number">0 </span>=&gt; <span class="prelude-val">Ok</span>(Sign::NoSign),
<span class="number">1 </span>=&gt; <span class="prelude-val">Ok</span>(Sign::Plus),
<span class="kw">_ </span>=&gt; <span class="prelude-val">Err</span>(D::Error::invalid_value(
Unexpected::Signed(sign.into()),
<span class="kw-2">&amp;</span><span class="string">&quot;a sign of -1, 0, or 1&quot;</span>,
)),
}
}
}
<span class="doccomment">/// A big signed integer type.
</span><span class="attribute">#[derive(Clone, Debug, Hash)]
</span><span class="kw">pub struct </span>BigInt {
sign: Sign,
data: BigUint,
}
<span class="attribute">#[cfg(feature = <span class="string">&quot;quickcheck&quot;</span>)]
</span><span class="kw">impl </span>Arbitrary <span class="kw">for </span>BigInt {
<span class="kw">fn </span>arbitrary&lt;G: Gen&gt;(g: <span class="kw-2">&amp;mut </span>G) -&gt; <span class="self">Self </span>{
<span class="kw">let </span>positive = bool::arbitrary(g);
<span class="kw">let </span>sign = <span class="kw">if </span>positive { Sign::Plus } <span class="kw">else </span>{ Sign::Minus };
<span class="self">Self</span>::from_biguint(sign, BigUint::arbitrary(g))
}
<span class="attribute">#[allow(bare_trait_objects)] </span><span class="comment">// `dyn` needs Rust 1.27 to parse, even when cfg-disabled
</span><span class="kw">fn </span>shrink(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; Box&lt;Iterator&lt;Item = <span class="self">Self</span>&gt;&gt; {
<span class="kw">let </span>sign = <span class="self">self</span>.sign();
<span class="kw">let </span>unsigned_shrink = <span class="self">self</span>.data.shrink();
Box::new(unsigned_shrink.map(<span class="kw">move </span>|x| BigInt::from_biguint(sign, x)))
}
}
<span class="doccomment">/// Return the magnitude of a `BigInt`.
///
/// This is in a private module, pseudo pub(crate)
</span><span class="attribute">#[cfg(feature = <span class="string">&quot;rand&quot;</span>)]
</span><span class="kw">pub fn </span>magnitude(i: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="kw-2">&amp;</span>BigUint {
<span class="kw-2">&amp;</span>i.data
}
<span class="doccomment">/// Return the owned magnitude of a `BigInt`.
///
/// This is in a private module, pseudo pub(crate)
</span><span class="attribute">#[cfg(feature = <span class="string">&quot;rand&quot;</span>)]
</span><span class="kw">pub fn </span>into_magnitude(i: BigInt) -&gt; BigUint {
i.data
}
<span class="kw">impl </span>PartialEq <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>eq(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; bool {
<span class="self">self</span>.cmp(other) == Equal
}
}
<span class="kw">impl </span>Eq <span class="kw">for </span>BigInt {}
<span class="kw">impl </span>PartialOrd <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>partial_cmp(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;Ordering&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.cmp(other))
}
}
<span class="kw">impl </span>Ord <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>cmp(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; Ordering {
<span class="kw">let </span>scmp = <span class="self">self</span>.sign.cmp(<span class="kw-2">&amp;</span>other.sign);
<span class="kw">if </span>scmp != Equal {
<span class="kw">return </span>scmp;
}
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; Equal,
Plus =&gt; <span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>other.data),
Minus =&gt; other.data.cmp(<span class="kw-2">&amp;</span><span class="self">self</span>.data),
}
}
}
<span class="kw">impl </span>Default <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>default() -&gt; BigInt {
Zero::zero()
}
}
<span class="kw">impl </span>fmt::Display <span class="kw">for </span>BigInt {
<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 {
f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">&quot;&quot;</span>, <span class="kw-2">&amp;</span><span class="self">self</span>.data.to_str_radix(<span class="number">10</span>))
}
}
<span class="kw">impl </span>fmt::Binary <span class="kw">for </span>BigInt {
<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 {
f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">&quot;0b&quot;</span>, <span class="kw-2">&amp;</span><span class="self">self</span>.data.to_str_radix(<span class="number">2</span>))
}
}
<span class="kw">impl </span>fmt::Octal <span class="kw">for </span>BigInt {
<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 {
f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">&quot;0o&quot;</span>, <span class="kw-2">&amp;</span><span class="self">self</span>.data.to_str_radix(<span class="number">8</span>))
}
}
<span class="kw">impl </span>fmt::LowerHex <span class="kw">for </span>BigInt {
<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 {
f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">&quot;0x&quot;</span>, <span class="kw-2">&amp;</span><span class="self">self</span>.data.to_str_radix(<span class="number">16</span>))
}
}
<span class="kw">impl </span>fmt::UpperHex <span class="kw">for </span>BigInt {
<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="kw">let </span><span class="kw-2">mut </span>s = <span class="self">self</span>.data.to_str_radix(<span class="number">16</span>);
s.make_ascii_uppercase();
f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">&quot;0x&quot;</span>, <span class="kw-2">&amp;</span>s)
}
}
<span class="comment">// Negation in two&#39;s complement.
// acc must be initialized as 1 for least-significant digit.
//
// When negating, a carry (acc == 1) means that all the digits
// considered to this point were zero. This means that if all the
// digits of a negative BigInt have been considered, carry must be
// zero as we cannot have negative zero.
//
// 01 -&gt; ...f ff
// ff -&gt; ...f 01
// 01 00 -&gt; ...f ff 00
// 01 01 -&gt; ...f fe ff
// 01 ff -&gt; ...f fe 01
// ff 00 -&gt; ...f 01 00
// ff 01 -&gt; ...f 00 ff
// ff ff -&gt; ...f 00 01
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>negate_carry(a: BigDigit, acc: <span class="kw-2">&amp;mut </span>DoubleBigDigit) -&gt; BigDigit {
<span class="kw-2">*</span>acc += DoubleBigDigit::from(!a);
<span class="kw">let </span>lo = <span class="kw-2">*</span>acc <span class="kw">as </span>BigDigit;
<span class="kw-2">*</span>acc &gt;&gt;= big_digit::BITS;
lo
}
<span class="comment">// !-2 = !...f fe = ...0 01 = +1
// !-1 = !...f ff = ...0 00 = 0
// ! 0 = !...0 00 = ...f ff = -1
// !+1 = !...0 01 = ...f fe = -2
</span><span class="kw">impl </span>Not <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="kw">fn </span>not(<span class="kw-2">mut </span><span class="self">self</span>) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign | Plus =&gt; {
<span class="self">self</span>.data += <span class="number">1u32</span>;
<span class="self">self</span>.sign = Minus;
}
Minus =&gt; {
<span class="self">self</span>.data -= <span class="number">1u32</span>;
<span class="self">self</span>.sign = <span class="kw">if </span><span class="self">self</span>.data.is_zero() { NoSign } <span class="kw">else </span>{ Plus };
}
}
<span class="self">self
</span>}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Not <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="kw">fn </span>not(<span class="self">self</span>) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign | Plus =&gt; BigInt::from_biguint(Minus, <span class="kw-2">&amp;</span><span class="self">self</span>.data + <span class="number">1u32</span>),
Minus =&gt; BigInt::from_biguint(Plus, <span class="kw-2">&amp;</span><span class="self">self</span>.data - <span class="number">1u32</span>),
}
}
}
<span class="comment">// + 1 &amp; -ff = ...0 01 &amp; ...f 01 = ...0 01 = + 1
// +ff &amp; - 1 = ...0 ff &amp; ...f ff = ...0 ff = +ff
// answer is pos, has length of a
</span><span class="kw">fn </span>bitand_pos_neg(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
<span class="kw-2">*</span>ai &amp;= twos_b;
}
<span class="macro">debug_assert!</span>(b.len() &gt; a.len() || carry_b == <span class="number">0</span>);
}
<span class="comment">// - 1 &amp; +ff = ...f ff &amp; ...0 ff = ...0 ff = +ff
// -ff &amp; + 1 = ...f 01 &amp; ...0 01 = ...0 01 = + 1
// answer is pos, has length of b
</span><span class="kw">fn </span>bitand_neg_pos(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw-2">*</span>ai = twos_a &amp; bi;
}
<span class="macro">debug_assert!</span>(a.len() &gt; b.len() || carry_a == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
a.truncate(b.len());
} <span class="kw">else if </span>b.len() &gt; a.len() {
<span class="kw">let </span>extra = <span class="kw-2">&amp;</span>b[a.len()..];
a.extend(extra.iter().cloned());
}
}
<span class="comment">// - 1 &amp; -ff = ...f ff &amp; ...f 01 = ...f 01 = - ff
// -ff &amp; - 1 = ...f 01 &amp; ...f ff = ...f 01 = - ff
// -ff &amp; -fe = ...f 01 &amp; ...f 02 = ...f 00 = -100
// answer is neg, has length of longest with a possible carry
</span><span class="kw">fn </span>bitand_neg_neg(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_and = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
<span class="kw-2">*</span>ai = negate_carry(twos_a &amp; twos_b, <span class="kw-2">&amp;mut </span>carry_and);
}
<span class="macro">debug_assert!</span>(a.len() &gt; b.len() || carry_a == <span class="number">0</span>);
<span class="macro">debug_assert!</span>(b.len() &gt; a.len() || carry_b == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
<span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw-2">*</span>ai = negate_carry(twos_a, <span class="kw-2">&amp;mut </span>carry_and);
}
<span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>);
} <span class="kw">else if </span>b.len() &gt; a.len() {
<span class="kw">let </span>extra = <span class="kw-2">&amp;</span>b[a.len()..];
a.extend(extra.iter().map(|<span class="kw-2">&amp;</span>bi| {
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
negate_carry(twos_b, <span class="kw-2">&amp;mut </span>carry_and)
}));
<span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>);
}
<span class="kw">if </span>carry_and != <span class="number">0 </span>{
a.push(<span class="number">1</span>);
}
}
<span class="macro">forward_val_val_binop!</span>(<span class="kw">impl </span>BitAnd <span class="kw">for </span>BigInt, bitand);
<span class="macro">forward_ref_val_binop!</span>(<span class="kw">impl </span>BitAnd <span class="kw">for </span>BigInt, bitand);
<span class="comment">// do not use forward_ref_ref_binop_commutative! for bitand so that we can
// clone as needed, avoiding over-allocation
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; BitAnd&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>bitand(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) {
(NoSign, <span class="kw">_</span>) | (<span class="kw">_</span>, NoSign) =&gt; BigInt::from_slice(NoSign, <span class="kw-2">&amp;</span>[]),
(Plus, Plus) =&gt; BigInt::from_biguint(Plus, <span class="kw-2">&amp;</span><span class="self">self</span>.data &amp; <span class="kw-2">&amp;</span>other.data),
(Plus, Minus) =&gt; <span class="self">self</span>.clone() &amp; other,
(Minus, Plus) =&gt; other.clone() &amp; <span class="self">self</span>,
(Minus, Minus) =&gt; {
<span class="comment">// forward to val-ref, choosing the larger to clone
</span><span class="kw">if </span><span class="self">self</span>.len() &gt;= other.len() {
<span class="self">self</span>.clone() &amp; other
} <span class="kw">else </span>{
other.clone() &amp; <span class="self">self
</span>}
}
}
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; BitAnd&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>bitand(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="self">self </span>&amp;= other;
<span class="self">self
</span>}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>BitAndAssign <span class="kw">for </span>BigInt, bitand_assign);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; BitAndAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">fn </span>bitand_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) {
(NoSign, <span class="kw">_</span>) =&gt; {}
(<span class="kw">_</span>, NoSign) =&gt; <span class="self">self</span>.assign_from_slice(NoSign, <span class="kw-2">&amp;</span>[]),
(Plus, Plus) =&gt; {
<span class="self">self</span>.data &amp;= <span class="kw-2">&amp;</span>other.data;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
(Plus, Minus) =&gt; {
bitand_pos_neg(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.normalize();
}
(Minus, Plus) =&gt; {
bitand_neg_pos(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.sign = Plus;
<span class="self">self</span>.normalize();
}
(Minus, Minus) =&gt; {
bitand_neg_neg(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.normalize();
}
}
}
}
<span class="comment">// + 1 | -ff = ...0 01 | ...f 01 = ...f 01 = -ff
// +ff | - 1 = ...0 ff | ...f ff = ...f ff = - 1
// answer is neg, has length of b
</span><span class="kw">fn </span>bitor_pos_neg(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_or = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
<span class="kw-2">*</span>ai = negate_carry(<span class="kw-2">*</span>ai | twos_b, <span class="kw-2">&amp;mut </span>carry_or);
}
<span class="macro">debug_assert!</span>(b.len() &gt; a.len() || carry_b == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
a.truncate(b.len());
} <span class="kw">else if </span>b.len() &gt; a.len() {
<span class="kw">let </span>extra = <span class="kw-2">&amp;</span>b[a.len()..];
a.extend(extra.iter().map(|<span class="kw-2">&amp;</span>bi| {
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
negate_carry(twos_b, <span class="kw-2">&amp;mut </span>carry_or)
}));
<span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>);
}
<span class="comment">// for carry_or to be non-zero, we would need twos_b == 0
</span><span class="macro">debug_assert!</span>(carry_or == <span class="number">0</span>);
}
<span class="comment">// - 1 | +ff = ...f ff | ...0 ff = ...f ff = - 1
// -ff | + 1 = ...f 01 | ...0 01 = ...f 01 = -ff
// answer is neg, has length of a
</span><span class="kw">fn </span>bitor_neg_pos(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_or = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw-2">*</span>ai = negate_carry(twos_a | bi, <span class="kw-2">&amp;mut </span>carry_or);
}
<span class="macro">debug_assert!</span>(a.len() &gt; b.len() || carry_a == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
<span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw-2">*</span>ai = negate_carry(twos_a, <span class="kw-2">&amp;mut </span>carry_or);
}
<span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>);
}
<span class="comment">// for carry_or to be non-zero, we would need twos_a == 0
</span><span class="macro">debug_assert!</span>(carry_or == <span class="number">0</span>);
}
<span class="comment">// - 1 | -ff = ...f ff | ...f 01 = ...f ff = -1
// -ff | - 1 = ...f 01 | ...f ff = ...f ff = -1
// answer is neg, has length of shortest
</span><span class="kw">fn </span>bitor_neg_neg(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_or = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
<span class="kw-2">*</span>ai = negate_carry(twos_a | twos_b, <span class="kw-2">&amp;mut </span>carry_or);
}
<span class="macro">debug_assert!</span>(a.len() &gt; b.len() || carry_a == <span class="number">0</span>);
<span class="macro">debug_assert!</span>(b.len() &gt; a.len() || carry_b == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
a.truncate(b.len());
}
<span class="comment">// for carry_or to be non-zero, we would need twos_a == 0 or twos_b == 0
</span><span class="macro">debug_assert!</span>(carry_or == <span class="number">0</span>);
}
<span class="macro">forward_val_val_binop!</span>(<span class="kw">impl </span>BitOr <span class="kw">for </span>BigInt, bitor);
<span class="macro">forward_ref_val_binop!</span>(<span class="kw">impl </span>BitOr <span class="kw">for </span>BigInt, bitor);
<span class="comment">// do not use forward_ref_ref_binop_commutative! for bitor so that we can
// clone as needed, avoiding over-allocation
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; BitOr&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>bitor(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) {
(NoSign, <span class="kw">_</span>) =&gt; other.clone(),
(<span class="kw">_</span>, NoSign) =&gt; <span class="self">self</span>.clone(),
(Plus, Plus) =&gt; BigInt::from_biguint(Plus, <span class="kw-2">&amp;</span><span class="self">self</span>.data | <span class="kw-2">&amp;</span>other.data),
(Plus, Minus) =&gt; other.clone() | <span class="self">self</span>,
(Minus, Plus) =&gt; <span class="self">self</span>.clone() | other,
(Minus, Minus) =&gt; {
<span class="comment">// forward to val-ref, choosing the smaller to clone
</span><span class="kw">if </span><span class="self">self</span>.len() &lt;= other.len() {
<span class="self">self</span>.clone() | other
} <span class="kw">else </span>{
other.clone() | <span class="self">self
</span>}
}
}
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; BitOr&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>bitor(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="self">self </span>|= other;
<span class="self">self
</span>}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>BitOrAssign <span class="kw">for </span>BigInt, bitor_assign);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; BitOrAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">fn </span>bitor_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) {
(<span class="kw">_</span>, NoSign) =&gt; {}
(NoSign, <span class="kw">_</span>) =&gt; <span class="self">self</span>.assign_from_slice(other.sign, other.digits()),
(Plus, Plus) =&gt; <span class="self">self</span>.data |= <span class="kw-2">&amp;</span>other.data,
(Plus, Minus) =&gt; {
bitor_pos_neg(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.sign = Minus;
<span class="self">self</span>.normalize();
}
(Minus, Plus) =&gt; {
bitor_neg_pos(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.normalize();
}
(Minus, Minus) =&gt; {
bitor_neg_neg(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.normalize();
}
}
}
}
<span class="comment">// + 1 ^ -ff = ...0 01 ^ ...f 01 = ...f 00 = -100
// +ff ^ - 1 = ...0 ff ^ ...f ff = ...f 00 = -100
// answer is neg, has length of longest with a possible carry
</span><span class="kw">fn </span>bitxor_pos_neg(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_xor = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
<span class="kw-2">*</span>ai = negate_carry(<span class="kw-2">*</span>ai ^ twos_b, <span class="kw-2">&amp;mut </span>carry_xor);
}
<span class="macro">debug_assert!</span>(b.len() &gt; a.len() || carry_b == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
<span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() {
<span class="kw">let </span>twos_b = !<span class="number">0</span>;
<span class="kw-2">*</span>ai = negate_carry(<span class="kw-2">*</span>ai ^ twos_b, <span class="kw-2">&amp;mut </span>carry_xor);
}
} <span class="kw">else if </span>b.len() &gt; a.len() {
<span class="kw">let </span>extra = <span class="kw-2">&amp;</span>b[a.len()..];
a.extend(extra.iter().map(|<span class="kw-2">&amp;</span>bi| {
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
negate_carry(twos_b, <span class="kw-2">&amp;mut </span>carry_xor)
}));
<span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>);
}
<span class="kw">if </span>carry_xor != <span class="number">0 </span>{
a.push(<span class="number">1</span>);
}
}
<span class="comment">// - 1 ^ +ff = ...f ff ^ ...0 ff = ...f 00 = -100
// -ff ^ + 1 = ...f 01 ^ ...0 01 = ...f 00 = -100
// answer is neg, has length of longest with a possible carry
</span><span class="kw">fn </span>bitxor_neg_pos(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_xor = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw-2">*</span>ai = negate_carry(twos_a ^ bi, <span class="kw-2">&amp;mut </span>carry_xor);
}
<span class="macro">debug_assert!</span>(a.len() &gt; b.len() || carry_a == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
<span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw-2">*</span>ai = negate_carry(twos_a, <span class="kw-2">&amp;mut </span>carry_xor);
}
<span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>);
} <span class="kw">else if </span>b.len() &gt; a.len() {
<span class="kw">let </span>extra = <span class="kw-2">&amp;</span>b[a.len()..];
a.extend(extra.iter().map(|<span class="kw-2">&amp;</span>bi| {
<span class="kw">let </span>twos_a = !<span class="number">0</span>;
negate_carry(twos_a ^ bi, <span class="kw-2">&amp;mut </span>carry_xor)
}));
}
<span class="kw">if </span>carry_xor != <span class="number">0 </span>{
a.push(<span class="number">1</span>);
}
}
<span class="comment">// - 1 ^ -ff = ...f ff ^ ...f 01 = ...0 fe = +fe
// -ff &amp; - 1 = ...f 01 ^ ...f ff = ...0 fe = +fe
// answer is pos, has length of longest
</span><span class="kw">fn </span>bitxor_neg_neg(a: <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt;, b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>;
<span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>;
<span class="kw">for </span>(ai, <span class="kw-2">&amp;</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
<span class="kw-2">*</span>ai = twos_a ^ twos_b;
}
<span class="macro">debug_assert!</span>(a.len() &gt; b.len() || carry_a == <span class="number">0</span>);
<span class="macro">debug_assert!</span>(b.len() &gt; a.len() || carry_b == <span class="number">0</span>);
<span class="kw">if </span>a.len() &gt; b.len() {
<span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() {
<span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&amp;mut </span>carry_a);
<span class="kw">let </span>twos_b = !<span class="number">0</span>;
<span class="kw-2">*</span>ai = twos_a ^ twos_b;
}
<span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>);
} <span class="kw">else if </span>b.len() &gt; a.len() {
<span class="kw">let </span>extra = <span class="kw-2">&amp;</span>b[a.len()..];
a.extend(extra.iter().map(|<span class="kw-2">&amp;</span>bi| {
<span class="kw">let </span>twos_a = !<span class="number">0</span>;
<span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&amp;mut </span>carry_b);
twos_a ^ twos_b
}));
<span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>);
}
}
<span class="macro">forward_all_binop_to_val_ref_commutative!</span>(<span class="kw">impl </span>BitXor <span class="kw">for </span>BigInt, bitxor);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; BitXor&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>bitxor(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="self">self </span>^= other;
<span class="self">self
</span>}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>BitXorAssign <span class="kw">for </span>BigInt, bitxor_assign);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; BitXorAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">fn </span>bitxor_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) {
(<span class="kw">_</span>, NoSign) =&gt; {}
(NoSign, <span class="kw">_</span>) =&gt; <span class="self">self</span>.assign_from_slice(other.sign, other.digits()),
(Plus, Plus) =&gt; {
<span class="self">self</span>.data ^= <span class="kw-2">&amp;</span>other.data;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
(Plus, Minus) =&gt; {
bitxor_pos_neg(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.sign = Minus;
<span class="self">self</span>.normalize();
}
(Minus, Plus) =&gt; {
bitxor_neg_pos(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.normalize();
}
(Minus, Minus) =&gt; {
bitxor_neg_neg(<span class="self">self</span>.digits_mut(), other.digits());
<span class="self">self</span>.sign = Plus;
<span class="self">self</span>.normalize();
}
}
}
}
<span class="kw">impl </span>FromStr <span class="kw">for </span>BigInt {
<span class="kw">type </span><span class="prelude-val">Err </span>= ParseBigIntError;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_str(s: <span class="kw-2">&amp;</span>str) -&gt; <span class="prelude-ty">Result</span>&lt;BigInt, ParseBigIntError&gt; {
BigInt::from_str_radix(s, <span class="number">10</span>)
}
}
<span class="kw">impl </span>Num <span class="kw">for </span>BigInt {
<span class="kw">type </span>FromStrRadixErr = ParseBigIntError;
<span class="doccomment">/// Creates and initializes a BigInt.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>from_str_radix(<span class="kw-2">mut </span>s: <span class="kw-2">&amp;</span>str, radix: u32) -&gt; <span class="prelude-ty">Result</span>&lt;BigInt, ParseBigIntError&gt; {
<span class="kw">let </span>sign = <span class="kw">if </span>s.starts_with(<span class="string">&#39;-&#39;</span>) {
<span class="kw">let </span>tail = <span class="kw-2">&amp;</span>s[<span class="number">1</span>..];
<span class="kw">if </span>!tail.starts_with(<span class="string">&#39;+&#39;</span>) {
s = tail
}
Minus
} <span class="kw">else </span>{
Plus
};
<span class="kw">let </span>bu = BigUint::from_str_radix(s, radix)<span class="question-mark">?</span>;
<span class="prelude-val">Ok</span>(BigInt::from_biguint(sign, bu))
}
}
<span class="kw">impl </span>Shl&lt;usize&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>shl(<span class="kw-2">mut </span><span class="self">self</span>, rhs: usize) -&gt; BigInt {
<span class="self">self </span>&lt;&lt;= rhs;
<span class="self">self
</span>}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Shl&lt;usize&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>shl(<span class="self">self</span>, rhs: usize) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="kw-2">&amp;</span><span class="self">self</span>.data &lt;&lt; rhs)
}
}
<span class="kw">impl </span>ShlAssign&lt;usize&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>shl_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, rhs: usize) {
<span class="self">self</span>.data &lt;&lt;= rhs;
}
}
<span class="comment">// Negative values need a rounding adjustment if there are any ones in the
// bits that are getting shifted out.
</span><span class="kw">fn </span>shr_round_down(i: <span class="kw-2">&amp;</span>BigInt, rhs: usize) -&gt; bool {
i.is_negative()
&amp;&amp; biguint::trailing_zeros(<span class="kw-2">&amp;</span>i.data)
.map(|n| n &lt; rhs)
.unwrap_or(<span class="bool-val">false</span>)
}
<span class="kw">impl </span>Shr&lt;usize&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>shr(<span class="kw-2">mut </span><span class="self">self</span>, rhs: usize) -&gt; BigInt {
<span class="self">self </span>&gt;&gt;= rhs;
<span class="self">self
</span>}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Shr&lt;usize&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>shr(<span class="self">self</span>, rhs: usize) -&gt; BigInt {
<span class="kw">let </span>round_down = shr_round_down(<span class="self">self</span>, rhs);
<span class="kw">let </span>data = <span class="kw-2">&amp;</span><span class="self">self</span>.data &gt;&gt; rhs;
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="kw">if </span>round_down { data + <span class="number">1u8 </span>} <span class="kw">else </span>{ data })
}
}
<span class="kw">impl </span>ShrAssign&lt;usize&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>shr_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, rhs: usize) {
<span class="kw">let </span>round_down = shr_round_down(<span class="self">self</span>, rhs);
<span class="self">self</span>.data &gt;&gt;= rhs;
<span class="kw">if </span>round_down {
<span class="self">self</span>.data += <span class="number">1u8</span>;
} <span class="kw">else if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="kw">impl </span>Zero <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>zero() -&gt; BigInt {
BigInt::from_biguint(NoSign, Zero::zero())
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>set_zero(<span class="kw-2">&amp;mut </span><span class="self">self</span>) {
<span class="self">self</span>.data.set_zero();
<span class="self">self</span>.sign = NoSign;
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_zero(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.sign == NoSign
}
}
<span class="kw">impl </span>One <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>one() -&gt; BigInt {
BigInt::from_biguint(Plus, One::one())
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>set_one(<span class="kw-2">&amp;mut </span><span class="self">self</span>) {
<span class="self">self</span>.data.set_one();
<span class="self">self</span>.sign = Plus;
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_one(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.sign == Plus &amp;&amp; <span class="self">self</span>.data.is_one()
}
}
<span class="kw">impl </span>Signed <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>abs(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus | NoSign =&gt; <span class="self">self</span>.clone(),
Minus =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data.clone()),
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>abs_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span>&lt;= <span class="kw-2">*</span>other {
Zero::zero()
} <span class="kw">else </span>{
<span class="self">self </span>- other
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>signum(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus =&gt; BigInt::from_biguint(Plus, One::one()),
Minus =&gt; BigInt::from_biguint(Minus, One::one()),
NoSign =&gt; Zero::zero(),
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_positive(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.sign == Plus
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_negative(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.sign == Minus
}
}
<span class="doccomment">/// Help function for pow
///
/// Computes the effect of the exponent on the sign.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>powsign&lt;T: Integer&gt;(sign: Sign, other: <span class="kw-2">&amp;</span>T) -&gt; Sign {
<span class="kw">if </span>other.is_zero() {
Plus
} <span class="kw">else if </span>sign != Minus {
sign
} <span class="kw">else if </span>other.is_odd() {
sign
} <span class="kw">else </span>{
-sign
}
}
<span class="macro">macro_rules! </span>pow_impl {
(<span class="macro-nonterminal">$T</span>:ty) =&gt; {
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Pow&lt;<span class="macro-nonterminal">$T</span>&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>pow(<span class="self">self</span>, rhs: <span class="macro-nonterminal">$T</span>) -&gt; BigInt {
BigInt::from_biguint(powsign(<span class="self">self</span>.sign, <span class="kw-2">&amp;</span>rhs), (<span class="kw-2">&amp;</span><span class="self">self</span>.data).pow(rhs))
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; Pow&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span><span class="macro-nonterminal">$T</span>&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>pow(<span class="self">self</span>, rhs: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$T</span>) -&gt; BigInt {
BigInt::from_biguint(powsign(<span class="self">self</span>.sign, rhs), (<span class="kw-2">&amp;</span><span class="self">self</span>.data).pow(rhs))
}
}
};
}
<span class="macro">pow_impl!</span>(u8);
<span class="macro">pow_impl!</span>(u16);
<span class="macro">pow_impl!</span>(u32);
<span class="macro">pow_impl!</span>(u64);
<span class="macro">pow_impl!</span>(usize);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">pow_impl!</span>(u128);
<span class="macro">pow_impl!</span>(BigUint);
<span class="comment">// A convenience method for getting the absolute value of an i32 in a u32.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>i32_abs_as_u32(a: i32) -&gt; u32 {
<span class="kw">if </span>a == i32::min_value() {
a <span class="kw">as </span>u32
} <span class="kw">else </span>{
a.abs() <span class="kw">as </span>u32
}
}
<span class="comment">// A convenience method for getting the absolute value of an i64 in a u64.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>i64_abs_as_u64(a: i64) -&gt; u64 {
<span class="kw">if </span>a == i64::min_value() {
a <span class="kw">as </span>u64
} <span class="kw">else </span>{
a.abs() <span class="kw">as </span>u64
}
}
<span class="comment">// A convenience method for getting the absolute value of an i128 in a u128.
</span><span class="attribute">#[cfg(has_i128)]
#[inline]
</span><span class="kw">fn </span>i128_abs_as_u128(a: i128) -&gt; u128 {
<span class="kw">if </span>a == i128::min_value() {
a <span class="kw">as </span>u128
} <span class="kw">else </span>{
a.abs() <span class="kw">as </span>u128
}
}
<span class="comment">// We want to forward to BigUint::add, but it&#39;s not clear how that will go until
// we compare both sign and magnitude. So we duplicate this body for every
// val/ref combination, deferring that decision to BigUint&#39;s own forwarding.
</span><span class="macro">macro_rules! </span>bigint_add {
(<span class="macro-nonterminal">$a</span>:expr, <span class="macro-nonterminal">$a_owned</span>:expr, <span class="macro-nonterminal">$a_data</span>:expr, <span class="macro-nonterminal">$b</span>:expr, <span class="macro-nonterminal">$b_owned</span>:expr, <span class="macro-nonterminal">$b_data</span>:expr) =&gt; {
<span class="kw">match </span>(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$b</span>.sign) {
(<span class="kw">_</span>, NoSign) =&gt; <span class="macro-nonterminal">$a_owned</span>,
(NoSign, <span class="kw">_</span>) =&gt; <span class="macro-nonterminal">$b_owned</span>,
<span class="comment">// same sign =&gt; keep the sign with the sum of magnitudes
</span>(Plus, Plus) | (Minus, Minus) =&gt; BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>+ <span class="macro-nonterminal">$b_data</span>),
<span class="comment">// opposite signs =&gt; keep the sign of the larger with the difference of magnitudes
</span>(Plus, Minus) | (Minus, Plus) =&gt; <span class="kw">match </span><span class="macro-nonterminal">$a</span>.data.cmp(<span class="kw-2">&amp;</span><span class="macro-nonterminal">$b</span>.data) {
Less =&gt; BigInt::from_biguint(<span class="macro-nonterminal">$b</span>.sign, <span class="macro-nonterminal">$b_data </span>- <span class="macro-nonterminal">$a_data</span>),
Greater =&gt; BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>- <span class="macro-nonterminal">$b_data</span>),
Equal =&gt; Zero::zero(),
},
}
};
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; Add&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="macro">bigint_add!</span>(
<span class="self">self</span>,
<span class="self">self</span>.clone(),
<span class="kw-2">&amp;</span><span class="self">self</span>.data,
other,
other.clone(),
<span class="kw-2">&amp;</span>other.data
)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Add&lt;BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="macro">bigint_add!</span>(<span class="self">self</span>, <span class="self">self</span>.clone(), <span class="kw-2">&amp;</span><span class="self">self</span>.data, other, other, other.data)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Add&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="macro">bigint_add!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other.clone(), <span class="kw-2">&amp;</span>other.data)
}
}
<span class="kw">impl </span>Add&lt;BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="macro">bigint_add!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other, other.data)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; AddAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n + other;
}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>AddAssign <span class="kw">for </span>BigInt, add_assign);
<span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Add <span class="kw">for </span>BigInt, add);
<span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>AddAssign <span class="kw">for </span>BigInt, add_assign);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add&lt;u32&gt; <span class="kw">for </span>BigInt, add);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add&lt;u64&gt; <span class="kw">for </span>BigInt, add);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add&lt;u128&gt; <span class="kw">for </span>BigInt, add);
<span class="kw">impl </span>Add&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: u32) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; From::from(other),
Plus =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data + other),
Minus =&gt; <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>From::from(other)) {
Equal =&gt; Zero::zero(),
Less =&gt; BigInt::from_biguint(Plus, other - <span class="self">self</span>.data),
Greater =&gt; BigInt::from_biguint(Minus, <span class="self">self</span>.data - other),
},
}
}
}
<span class="kw">impl </span>AddAssign&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u32) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n + other;
}
}
<span class="kw">impl </span>Add&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: u64) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; From::from(other),
Plus =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data + other),
Minus =&gt; <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>From::from(other)) {
Equal =&gt; Zero::zero(),
Less =&gt; BigInt::from_biguint(Plus, other - <span class="self">self</span>.data),
Greater =&gt; BigInt::from_biguint(Minus, <span class="self">self</span>.data - other),
},
}
}
}
<span class="kw">impl </span>AddAssign&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u64) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n + other;
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Add&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: u128) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; From::from(other),
Plus =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data + other),
Minus =&gt; <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>From::from(other)) {
Equal =&gt; Zero::zero(),
Less =&gt; BigInt::from_biguint(Plus, other - <span class="self">self</span>.data),
Greater =&gt; BigInt::from_biguint(Minus, <span class="self">self</span>.data - other),
},
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>AddAssign&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u128) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n + other;
}
}
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add&lt;i32&gt; <span class="kw">for </span>BigInt, add);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add&lt;i64&gt; <span class="kw">for </span>BigInt, add);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add&lt;i128&gt; <span class="kw">for </span>BigInt, add);
<span class="kw">impl </span>Add&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: i32) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>+ other <span class="kw">as </span>u32
} <span class="kw">else </span>{
<span class="self">self </span>- i32_abs_as_u32(other)
}
}
}
<span class="kw">impl </span>AddAssign&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i32) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>+= other <span class="kw">as </span>u32;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>-= i32_abs_as_u32(other);
}
}
}
<span class="kw">impl </span>Add&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: i64) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>+ other <span class="kw">as </span>u64
} <span class="kw">else </span>{
<span class="self">self </span>- i64_abs_as_u64(other)
}
}
}
<span class="kw">impl </span>AddAssign&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i64) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>+= other <span class="kw">as </span>u64;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>-= i64_abs_as_u64(other);
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Add&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="self">self</span>, other: i128) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>+ other <span class="kw">as </span>u128
} <span class="kw">else </span>{
<span class="self">self </span>- i128_abs_as_u128(other)
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>AddAssign&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i128) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>+= other <span class="kw">as </span>u128;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>-= i128_abs_as_u128(other);
}
}
}
<span class="comment">// We want to forward to BigUint::sub, but it&#39;s not clear how that will go until
// we compare both sign and magnitude. So we duplicate this body for every
// val/ref combination, deferring that decision to BigUint&#39;s own forwarding.
</span><span class="macro">macro_rules! </span>bigint_sub {
(<span class="macro-nonterminal">$a</span>:expr, <span class="macro-nonterminal">$a_owned</span>:expr, <span class="macro-nonterminal">$a_data</span>:expr, <span class="macro-nonterminal">$b</span>:expr, <span class="macro-nonterminal">$b_owned</span>:expr, <span class="macro-nonterminal">$b_data</span>:expr) =&gt; {
<span class="kw">match </span>(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$b</span>.sign) {
(<span class="kw">_</span>, NoSign) =&gt; <span class="macro-nonterminal">$a_owned</span>,
(NoSign, <span class="kw">_</span>) =&gt; -<span class="macro-nonterminal">$b_owned</span>,
<span class="comment">// opposite signs =&gt; keep the sign of the left with the sum of magnitudes
</span>(Plus, Minus) | (Minus, Plus) =&gt; BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>+ <span class="macro-nonterminal">$b_data</span>),
<span class="comment">// same sign =&gt; keep or toggle the sign of the left with the difference of magnitudes
</span>(Plus, Plus) | (Minus, Minus) =&gt; <span class="kw">match </span><span class="macro-nonterminal">$a</span>.data.cmp(<span class="kw-2">&amp;</span><span class="macro-nonterminal">$b</span>.data) {
Less =&gt; BigInt::from_biguint(-<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$b_data </span>- <span class="macro-nonterminal">$a_data</span>),
Greater =&gt; BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>- <span class="macro-nonterminal">$b_data</span>),
Equal =&gt; Zero::zero(),
},
}
};
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; Sub&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="macro">bigint_sub!</span>(
<span class="self">self</span>,
<span class="self">self</span>.clone(),
<span class="kw-2">&amp;</span><span class="self">self</span>.data,
other,
other.clone(),
<span class="kw-2">&amp;</span>other.data
)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Sub&lt;BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="macro">bigint_sub!</span>(<span class="self">self</span>, <span class="self">self</span>.clone(), <span class="kw-2">&amp;</span><span class="self">self</span>.data, other, other, other.data)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Sub&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="macro">bigint_sub!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other.clone(), <span class="kw-2">&amp;</span>other.data)
}
}
<span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="macro">bigint_sub!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other, other.data)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; SubAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n - other;
}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>SubAssign <span class="kw">for </span>BigInt, sub_assign);
<span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Sub <span class="kw">for </span>BigInt, sub);
<span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>SubAssign <span class="kw">for </span>BigInt, sub_assign);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub&lt;u32&gt; <span class="kw">for </span>BigInt, sub);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub&lt;u64&gt; <span class="kw">for </span>BigInt, sub);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub&lt;u128&gt; <span class="kw">for </span>BigInt, sub);
<span class="kw">impl </span>Sub&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: u32) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; BigInt::from_biguint(Minus, From::from(other)),
Minus =&gt; BigInt::from_biguint(Minus, <span class="self">self</span>.data + other),
Plus =&gt; <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>From::from(other)) {
Equal =&gt; Zero::zero(),
Greater =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data - other),
Less =&gt; BigInt::from_biguint(Minus, other - <span class="self">self</span>.data),
},
}
}
}
<span class="kw">impl </span>SubAssign&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u32) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n - other;
}
}
<span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>u32 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
-(other - <span class="self">self</span>)
}
}
<span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>u64 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
-(other - <span class="self">self</span>)
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>u128 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
-(other - <span class="self">self</span>)
}
}
<span class="kw">impl </span>Sub&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: u64) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; BigInt::from_biguint(Minus, From::from(other)),
Minus =&gt; BigInt::from_biguint(Minus, <span class="self">self</span>.data + other),
Plus =&gt; <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>From::from(other)) {
Equal =&gt; Zero::zero(),
Greater =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data - other),
Less =&gt; BigInt::from_biguint(Minus, other - <span class="self">self</span>.data),
},
}
}
}
<span class="kw">impl </span>SubAssign&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u64) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n - other;
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Sub&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: u128) -&gt; BigInt {
<span class="kw">match </span><span class="self">self</span>.sign {
NoSign =&gt; BigInt::from_biguint(Minus, From::from(other)),
Minus =&gt; BigInt::from_biguint(Minus, <span class="self">self</span>.data + other),
Plus =&gt; <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&amp;</span>From::from(other)) {
Equal =&gt; Zero::zero(),
Greater =&gt; BigInt::from_biguint(Plus, <span class="self">self</span>.data - other),
Less =&gt; BigInt::from_biguint(Minus, other - <span class="self">self</span>.data),
},
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>SubAssign&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u128) {
<span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero());
<span class="kw-2">*</span><span class="self">self </span>= n - other;
}
}
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub&lt;i32&gt; <span class="kw">for </span>BigInt, sub);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub&lt;i64&gt; <span class="kw">for </span>BigInt, sub);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub&lt;i128&gt; <span class="kw">for </span>BigInt, sub);
<span class="kw">impl </span>Sub&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: i32) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>- other <span class="kw">as </span>u32
} <span class="kw">else </span>{
<span class="self">self </span>+ i32_abs_as_u32(other)
}
}
}
<span class="kw">impl </span>SubAssign&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i32) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>-= other <span class="kw">as </span>u32;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>+= i32_abs_as_u32(other);
}
}
}
<span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>i32 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u32 - other
} <span class="kw">else </span>{
-other - i32_abs_as_u32(<span class="self">self</span>)
}
}
}
<span class="kw">impl </span>Sub&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: i64) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>- other <span class="kw">as </span>u64
} <span class="kw">else </span>{
<span class="self">self </span>+ i64_abs_as_u64(other)
}
}
}
<span class="kw">impl </span>SubAssign&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i64) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>-= other <span class="kw">as </span>u64;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>+= i64_abs_as_u64(other);
}
}
}
<span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>i64 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u64 - other
} <span class="kw">else </span>{
-other - i64_abs_as_u64(<span class="self">self</span>)
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Sub&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: i128) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>- other <span class="kw">as </span>u128
} <span class="kw">else </span>{
<span class="self">self </span>+ i128_abs_as_u128(other)
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>SubAssign&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i128) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>-= other <span class="kw">as </span>u128;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>+= i128_abs_as_u128(other);
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Sub&lt;BigInt&gt; <span class="kw">for </span>i128 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u128 - other
} <span class="kw">else </span>{
-other - i128_abs_as_u128(<span class="self">self</span>)
}
}
}
<span class="macro">forward_all_binop_to_ref_ref!</span>(<span class="kw">impl </span>Mul <span class="kw">for </span>BigInt, mul);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; Mul&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign * other.sign, <span class="kw-2">&amp;</span><span class="self">self</span>.data * <span class="kw-2">&amp;</span>other.data)
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; MulAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">&amp;*</span><span class="self">self </span>* other;
}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>MulAssign <span class="kw">for </span>BigInt, mul_assign);
<span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Mul <span class="kw">for </span>BigInt, mul);
<span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>MulAssign <span class="kw">for </span>BigInt, mul_assign);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul&lt;u32&gt; <span class="kw">for </span>BigInt, mul);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul&lt;u64&gt; <span class="kw">for </span>BigInt, mul);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul&lt;u128&gt; <span class="kw">for </span>BigInt, mul);
<span class="kw">impl </span>Mul&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: u32) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data * other)
}
}
<span class="kw">impl </span>MulAssign&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u32) {
<span class="self">self</span>.data <span class="kw-2">*</span>= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="kw">impl </span>Mul&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: u64) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data * other)
}
}
<span class="kw">impl </span>MulAssign&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u64) {
<span class="self">self</span>.data <span class="kw-2">*</span>= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Mul&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: u128) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data * other)
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>MulAssign&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u128) {
<span class="self">self</span>.data <span class="kw-2">*</span>= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul&lt;i32&gt; <span class="kw">for </span>BigInt, mul);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul&lt;i64&gt; <span class="kw">for </span>BigInt, mul);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul&lt;i128&gt; <span class="kw">for </span>BigInt, mul);
<span class="kw">impl </span>Mul&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: i32) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>* other <span class="kw">as </span>u32
} <span class="kw">else </span>{
-(<span class="self">self </span>* i32_abs_as_u32(other))
}
}
}
<span class="kw">impl </span>MulAssign&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i32) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= other <span class="kw">as </span>u32;
} <span class="kw">else </span>{
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= i32_abs_as_u32(other);
}
}
}
<span class="kw">impl </span>Mul&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: i64) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>* other <span class="kw">as </span>u64
} <span class="kw">else </span>{
-(<span class="self">self </span>* i64_abs_as_u64(other))
}
}
}
<span class="kw">impl </span>MulAssign&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i64) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= other <span class="kw">as </span>u64;
} <span class="kw">else </span>{
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= i64_abs_as_u64(other);
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Mul&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, other: i128) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>* other <span class="kw">as </span>u128
} <span class="kw">else </span>{
-(<span class="self">self </span>* i128_abs_as_u128(other))
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>MulAssign&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i128) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= other <span class="kw">as </span>u128;
} <span class="kw">else </span>{
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= i128_abs_as_u128(other);
}
}
}
<span class="macro">forward_all_binop_to_ref_ref!</span>(<span class="kw">impl </span>Div <span class="kw">for </span>BigInt, div);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; Div&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">let </span>(q, <span class="kw">_</span>) = <span class="self">self</span>.div_rem(other);
q
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; DivAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">&amp;*</span><span class="self">self </span>/ other;
}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>DivAssign <span class="kw">for </span>BigInt, div_assign);
<span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Div <span class="kw">for </span>BigInt, div);
<span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>DivAssign <span class="kw">for </span>BigInt, div_assign);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div&lt;u32&gt; <span class="kw">for </span>BigInt, div);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div&lt;u64&gt; <span class="kw">for </span>BigInt, div);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div&lt;u128&gt; <span class="kw">for </span>BigInt, div);
<span class="kw">impl </span>Div&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: u32) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data / other)
}
}
<span class="kw">impl </span>DivAssign&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u32) {
<span class="self">self</span>.data /= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="kw">impl </span>Div&lt;BigInt&gt; <span class="kw">for </span>u32 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
BigInt::from_biguint(other.sign, <span class="self">self </span>/ other.data)
}
}
<span class="kw">impl </span>Div&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: u64) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data / other)
}
}
<span class="kw">impl </span>DivAssign&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u64) {
<span class="self">self</span>.data /= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="kw">impl </span>Div&lt;BigInt&gt; <span class="kw">for </span>u64 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
BigInt::from_biguint(other.sign, <span class="self">self </span>/ other.data)
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Div&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: u128) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data / other)
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>DivAssign&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u128) {
<span class="self">self</span>.data /= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Div&lt;BigInt&gt; <span class="kw">for </span>u128 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
BigInt::from_biguint(other.sign, <span class="self">self </span>/ other.data)
}
}
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div&lt;i32&gt; <span class="kw">for </span>BigInt, div);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div&lt;i64&gt; <span class="kw">for </span>BigInt, div);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div&lt;i128&gt; <span class="kw">for </span>BigInt, div);
<span class="kw">impl </span>Div&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: i32) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>/ other <span class="kw">as </span>u32
} <span class="kw">else </span>{
-(<span class="self">self </span>/ i32_abs_as_u32(other))
}
}
}
<span class="kw">impl </span>DivAssign&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i32) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>/= other <span class="kw">as </span>u32;
} <span class="kw">else </span>{
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="kw-2">*</span><span class="self">self </span>/= i32_abs_as_u32(other);
}
}
}
<span class="kw">impl </span>Div&lt;BigInt&gt; <span class="kw">for </span>i32 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u32 / other
} <span class="kw">else </span>{
-(i32_abs_as_u32(<span class="self">self</span>) / other)
}
}
}
<span class="kw">impl </span>Div&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: i64) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>/ other <span class="kw">as </span>u64
} <span class="kw">else </span>{
-(<span class="self">self </span>/ i64_abs_as_u64(other))
}
}
}
<span class="kw">impl </span>DivAssign&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i64) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>/= other <span class="kw">as </span>u64;
} <span class="kw">else </span>{
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="kw-2">*</span><span class="self">self </span>/= i64_abs_as_u64(other);
}
}
}
<span class="kw">impl </span>Div&lt;BigInt&gt; <span class="kw">for </span>i64 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u64 / other
} <span class="kw">else </span>{
-(i64_abs_as_u64(<span class="self">self</span>) / other)
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Div&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: i128) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>/ other <span class="kw">as </span>u128
} <span class="kw">else </span>{
-(<span class="self">self </span>/ i128_abs_as_u128(other))
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>DivAssign&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i128) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>/= other <span class="kw">as </span>u128;
} <span class="kw">else </span>{
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="kw-2">*</span><span class="self">self </span>/= i128_abs_as_u128(other);
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Div&lt;BigInt&gt; <span class="kw">for </span>i128 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u128 / other
} <span class="kw">else </span>{
-(i128_abs_as_u128(<span class="self">self</span>) / other)
}
}
}
<span class="macro">forward_all_binop_to_ref_ref!</span>(<span class="kw">impl </span>Rem <span class="kw">for </span>BigInt, rem);
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; Rem&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>BigInt&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">let </span>(<span class="kw">_</span>, r) = <span class="self">self</span>.div_rem(other);
r
}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; RemAssign&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">&amp;*</span><span class="self">self </span>% other;
}
}
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>RemAssign <span class="kw">for </span>BigInt, rem_assign);
<span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Rem <span class="kw">for </span>BigInt, rem);
<span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>RemAssign <span class="kw">for </span>BigInt, rem_assign);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem&lt;u32&gt; <span class="kw">for </span>BigInt, rem);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem&lt;u64&gt; <span class="kw">for </span>BigInt, rem);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem&lt;u128&gt; <span class="kw">for </span>BigInt, rem);
<span class="kw">impl </span>Rem&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: u32) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data % other)
}
}
<span class="kw">impl </span>RemAssign&lt;u32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u32) {
<span class="self">self</span>.data %= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="kw">impl </span>Rem&lt;BigInt&gt; <span class="kw">for </span>u32 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
BigInt::from_biguint(Plus, <span class="self">self </span>% other.data)
}
}
<span class="kw">impl </span>Rem&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: u64) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data % other)
}
}
<span class="kw">impl </span>RemAssign&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u64) {
<span class="self">self</span>.data %= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="kw">impl </span>Rem&lt;BigInt&gt; <span class="kw">for </span>u64 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
BigInt::from_biguint(Plus, <span class="self">self </span>% other.data)
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Rem&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: u128) -&gt; BigInt {
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data % other)
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>RemAssign&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: u128) {
<span class="self">self</span>.data %= other;
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Rem&lt;BigInt&gt; <span class="kw">for </span>u128 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
BigInt::from_biguint(Plus, <span class="self">self </span>% other.data)
}
}
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem&lt;i32&gt; <span class="kw">for </span>BigInt, rem);
<span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem&lt;i64&gt; <span class="kw">for </span>BigInt, rem);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem&lt;i128&gt; <span class="kw">for </span>BigInt, rem);
<span class="kw">impl </span>Rem&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: i32) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>% other <span class="kw">as </span>u32
} <span class="kw">else </span>{
<span class="self">self </span>% i32_abs_as_u32(other)
}
}
}
<span class="kw">impl </span>RemAssign&lt;i32&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i32) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>%= other <span class="kw">as </span>u32;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>%= i32_abs_as_u32(other);
}
}
}
<span class="kw">impl </span>Rem&lt;BigInt&gt; <span class="kw">for </span>i32 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u32 % other
} <span class="kw">else </span>{
-(i32_abs_as_u32(<span class="self">self</span>) % other)
}
}
}
<span class="kw">impl </span>Rem&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: i64) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>% other <span class="kw">as </span>u64
} <span class="kw">else </span>{
<span class="self">self </span>% i64_abs_as_u64(other)
}
}
}
<span class="kw">impl </span>RemAssign&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i64) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>%= other <span class="kw">as </span>u64;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>%= i64_abs_as_u64(other);
}
}
}
<span class="kw">impl </span>Rem&lt;BigInt&gt; <span class="kw">for </span>i64 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u64 % other
} <span class="kw">else </span>{
-(i64_abs_as_u64(<span class="self">self</span>) % other)
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Rem&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: i128) -&gt; BigInt {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="self">self </span>% other <span class="kw">as </span>u128
} <span class="kw">else </span>{
<span class="self">self </span>% i128_abs_as_u128(other)
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>RemAssign&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&amp;mut </span><span class="self">self</span>, other: i128) {
<span class="kw">if </span>other &gt;= <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>%= other <span class="kw">as </span>u128;
} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>%= i128_abs_as_u128(other);
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>Rem&lt;BigInt&gt; <span class="kw">for </span>i128 {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -&gt; BigInt {
<span class="kw">if </span><span class="self">self </span>&gt;= <span class="number">0 </span>{
<span class="self">self </span><span class="kw">as </span>u128 % other
} <span class="kw">else </span>{
-(i128_abs_as_u128(<span class="self">self</span>) % other)
}
}
}
<span class="kw">impl </span>Neg <span class="kw">for </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>neg(<span class="kw-2">mut </span><span class="self">self</span>) -&gt; BigInt {
<span class="self">self</span>.sign = -<span class="self">self</span>.sign;
<span class="self">self
</span>}
}
<span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>&gt; Neg <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>BigInt {
<span class="kw">type </span>Output = BigInt;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>neg(<span class="self">self</span>) -&gt; BigInt {
-<span class="self">self</span>.clone()
}
}
<span class="kw">impl </span>CheckedAdd <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>checked_add(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.add(v))
}
}
<span class="kw">impl </span>CheckedSub <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>checked_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.sub(v))
}
}
<span class="kw">impl </span>CheckedMul <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>checked_mul(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.mul(v))
}
}
<span class="kw">impl </span>CheckedDiv <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>checked_div(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="kw">if </span>v.is_zero() {
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="prelude-val">Some</span>(<span class="self">self</span>.div(v))
}
}
<span class="kw">impl </span>Integer <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_rem(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; (BigInt, BigInt) {
<span class="comment">// r.sign == self.sign
</span><span class="kw">let </span>(d_ui, r_ui) = <span class="self">self</span>.data.div_mod_floor(<span class="kw-2">&amp;</span>other.data);
<span class="kw">let </span>d = BigInt::from_biguint(<span class="self">self</span>.sign, d_ui);
<span class="kw">let </span>r = BigInt::from_biguint(<span class="self">self</span>.sign, r_ui);
<span class="kw">if </span>other.is_negative() {
(-d, r)
} <span class="kw">else </span>{
(d, r)
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>div_floor(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">let </span>(d, <span class="kw">_</span>) = <span class="self">self</span>.div_mod_floor(other);
d
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>mod_floor(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
<span class="kw">let </span>(<span class="kw">_</span>, m) = <span class="self">self</span>.div_mod_floor(other);
m
}
<span class="kw">fn </span>div_mod_floor(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; (BigInt, BigInt) {
<span class="comment">// m.sign == other.sign
</span><span class="kw">let </span>(d_ui, m_ui) = <span class="self">self</span>.data.div_rem(<span class="kw-2">&amp;</span>other.data);
<span class="kw">let </span>d = BigInt::from_biguint(Plus, d_ui);
<span class="kw">let </span>m = BigInt::from_biguint(Plus, m_ui);
<span class="kw">let </span>one: BigInt = One::one();
<span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) {
(<span class="kw">_</span>, NoSign) =&gt; <span class="macro">panic!</span>(),
(Plus, Plus) | (NoSign, Plus) =&gt; (d, m),
(Plus, Minus) | (NoSign, Minus) =&gt; {
<span class="kw">if </span>m.is_zero() {
(-d, Zero::zero())
} <span class="kw">else </span>{
(-d - one, m + other)
}
}
(Minus, Plus) =&gt; {
<span class="kw">if </span>m.is_zero() {
(-d, Zero::zero())
} <span class="kw">else </span>{
(-d - one, other - m)
}
}
(Minus, Minus) =&gt; (d, -m),
}
}
<span class="doccomment">/// Calculates the Greatest Common Divisor (GCD) of the number and `other`.
///
/// The result is always positive.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>gcd(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
BigInt::from_biguint(Plus, <span class="self">self</span>.data.gcd(<span class="kw-2">&amp;</span>other.data))
}
<span class="doccomment">/// Calculates the Lowest Common Multiple (LCM) of the number and `other`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>lcm(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; BigInt {
BigInt::from_biguint(Plus, <span class="self">self</span>.data.lcm(<span class="kw-2">&amp;</span>other.data))
}
<span class="doccomment">/// Deprecated, use `is_multiple_of` instead.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>divides(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; bool {
<span class="self">self</span>.is_multiple_of(other)
}
<span class="doccomment">/// Returns `true` if the number is a multiple of `other`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>is_multiple_of(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigInt) -&gt; bool {
<span class="self">self</span>.data.is_multiple_of(<span class="kw-2">&amp;</span>other.data)
}
<span class="doccomment">/// Returns `true` if the number is divisible by `2`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>is_even(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.data.is_even()
}
<span class="doccomment">/// Returns `true` if the number is not divisible by `2`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>is_odd(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.data.is_odd()
}
}
<span class="kw">impl </span>Roots <span class="kw">for </span>BigInt {
<span class="kw">fn </span>nth_root(<span class="kw-2">&amp;</span><span class="self">self</span>, n: u32) -&gt; <span class="self">Self </span>{
<span class="macro">assert!</span>(
!(<span class="self">self</span>.is_negative() &amp;&amp; n.is_even()),
<span class="string">&quot;root of degree {} is imaginary&quot;</span>,
n
);
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data.nth_root(n))
}
<span class="kw">fn </span>sqrt(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self </span>{
<span class="macro">assert!</span>(!<span class="self">self</span>.is_negative(), <span class="string">&quot;square root is imaginary&quot;</span>);
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data.sqrt())
}
<span class="kw">fn </span>cbrt(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self </span>{
BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data.cbrt())
}
}
<span class="kw">impl </span>ToPrimitive <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_i64(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;i64&gt; {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus =&gt; <span class="self">self</span>.data.to_i64(),
NoSign =&gt; <span class="prelude-val">Some</span>(<span class="number">0</span>),
Minus =&gt; <span class="self">self</span>.data.to_u64().and_then(|n| {
<span class="kw">let </span>m: u64 = <span class="number">1 </span>&lt;&lt; <span class="number">63</span>;
<span class="kw">if </span>n &lt; m {
<span class="prelude-val">Some</span>(-(n <span class="kw">as </span>i64))
} <span class="kw">else if </span>n == m {
<span class="prelude-val">Some</span>(i64::MIN)
} <span class="kw">else </span>{
<span class="prelude-val">None
</span>}
}),
}
}
<span class="attribute">#[inline]
#[cfg(has_i128)]
</span><span class="kw">fn </span>to_i128(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;i128&gt; {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus =&gt; <span class="self">self</span>.data.to_i128(),
NoSign =&gt; <span class="prelude-val">Some</span>(<span class="number">0</span>),
Minus =&gt; <span class="self">self</span>.data.to_u128().and_then(|n| {
<span class="kw">let </span>m: u128 = <span class="number">1 </span>&lt;&lt; <span class="number">127</span>;
<span class="kw">if </span>n &lt; m {
<span class="prelude-val">Some</span>(-(n <span class="kw">as </span>i128))
} <span class="kw">else if </span>n == m {
<span class="prelude-val">Some</span>(i128::MIN)
} <span class="kw">else </span>{
<span class="prelude-val">None
</span>}
}),
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_u64(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;u64&gt; {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus =&gt; <span class="self">self</span>.data.to_u64(),
NoSign =&gt; <span class="prelude-val">Some</span>(<span class="number">0</span>),
Minus =&gt; <span class="prelude-val">None</span>,
}
}
<span class="attribute">#[inline]
#[cfg(has_i128)]
</span><span class="kw">fn </span>to_u128(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;u128&gt; {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus =&gt; <span class="self">self</span>.data.to_u128(),
NoSign =&gt; <span class="prelude-val">Some</span>(<span class="number">0</span>),
Minus =&gt; <span class="prelude-val">None</span>,
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_f32(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;f32&gt; {
<span class="self">self</span>.data
.to_f32()
.map(|n| <span class="kw">if </span><span class="self">self</span>.sign == Minus { -n } <span class="kw">else </span>{ n })
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_f64(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;f64&gt; {
<span class="self">self</span>.data
.to_f64()
.map(|n| <span class="kw">if </span><span class="self">self</span>.sign == Minus { -n } <span class="kw">else </span>{ n })
}
}
<span class="kw">impl </span>FromPrimitive <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_i64(n: i64) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(BigInt::from(n))
}
<span class="attribute">#[inline]
#[cfg(has_i128)]
</span><span class="kw">fn </span>from_i128(n: i128) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(BigInt::from(n))
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_u64(n: u64) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(BigInt::from(n))
}
<span class="attribute">#[inline]
#[cfg(has_i128)]
</span><span class="kw">fn </span>from_u128(n: u128) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(BigInt::from(n))
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_f64(n: f64) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="kw">if </span>n &gt;= <span class="number">0.0 </span>{
BigUint::from_f64(n).map(|x| BigInt::from_biguint(Plus, x))
} <span class="kw">else </span>{
BigUint::from_f64(-n).map(|x| BigInt::from_biguint(Minus, x))
}
}
}
<span class="kw">impl </span>From&lt;i64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: i64) -&gt; <span class="self">Self </span>{
<span class="kw">if </span>n &gt;= <span class="number">0 </span>{
BigInt::from(n <span class="kw">as </span>u64)
} <span class="kw">else </span>{
<span class="kw">let </span>u = u64::MAX - (n <span class="kw">as </span>u64) + <span class="number">1</span>;
BigInt {
sign: Minus,
data: BigUint::from(u),
}
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>From&lt;i128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: i128) -&gt; <span class="self">Self </span>{
<span class="kw">if </span>n &gt;= <span class="number">0 </span>{
BigInt::from(n <span class="kw">as </span>u128)
} <span class="kw">else </span>{
<span class="kw">let </span>u = u128::MAX - (n <span class="kw">as </span>u128) + <span class="number">1</span>;
BigInt {
sign: Minus,
data: BigUint::from(u),
}
}
}
}
<span class="macro">macro_rules! </span>impl_bigint_from_int {
(<span class="macro-nonterminal">$T</span>:ty) =&gt; {
<span class="kw">impl </span>From&lt;<span class="macro-nonterminal">$T</span>&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: <span class="macro-nonterminal">$T</span>) -&gt; <span class="self">Self </span>{
BigInt::from(n <span class="kw">as </span>i64)
}
}
};
}
<span class="macro">impl_bigint_from_int!</span>(i8);
<span class="macro">impl_bigint_from_int!</span>(i16);
<span class="macro">impl_bigint_from_int!</span>(i32);
<span class="macro">impl_bigint_from_int!</span>(isize);
<span class="kw">impl </span>From&lt;u64&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: u64) -&gt; <span class="self">Self </span>{
<span class="kw">if </span>n &gt; <span class="number">0 </span>{
BigInt {
sign: Plus,
data: BigUint::from(n),
}
} <span class="kw">else </span>{
BigInt::zero()
}
}
}
<span class="attribute">#[cfg(has_i128)]
</span><span class="kw">impl </span>From&lt;u128&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: u128) -&gt; <span class="self">Self </span>{
<span class="kw">if </span>n &gt; <span class="number">0 </span>{
BigInt {
sign: Plus,
data: BigUint::from(n),
}
} <span class="kw">else </span>{
BigInt::zero()
}
}
}
<span class="macro">macro_rules! </span>impl_bigint_from_uint {
(<span class="macro-nonterminal">$T</span>:ty) =&gt; {
<span class="kw">impl </span>From&lt;<span class="macro-nonterminal">$T</span>&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: <span class="macro-nonterminal">$T</span>) -&gt; <span class="self">Self </span>{
BigInt::from(n <span class="kw">as </span>u64)
}
}
};
}
<span class="macro">impl_bigint_from_uint!</span>(u8);
<span class="macro">impl_bigint_from_uint!</span>(u16);
<span class="macro">impl_bigint_from_uint!</span>(u32);
<span class="macro">impl_bigint_from_uint!</span>(usize);
<span class="kw">impl </span>From&lt;BigUint&gt; <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: BigUint) -&gt; <span class="self">Self </span>{
<span class="kw">if </span>n.is_zero() {
BigInt::zero()
} <span class="kw">else </span>{
BigInt {
sign: Plus,
data: n,
}
}
}
}
<span class="kw">impl </span>IntDigits <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>digits(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>[BigDigit] {
<span class="self">self</span>.data.digits()
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>digits_mut(<span class="kw-2">&amp;mut </span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;mut </span>Vec&lt;BigDigit&gt; {
<span class="self">self</span>.data.digits_mut()
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>normalize(<span class="kw-2">&amp;mut </span><span class="self">self</span>) {
<span class="self">self</span>.data.normalize();
<span class="kw">if </span><span class="self">self</span>.data.is_zero() {
<span class="self">self</span>.sign = NoSign;
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>capacity(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; usize {
<span class="self">self</span>.data.capacity()
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>len(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; usize {
<span class="self">self</span>.data.len()
}
}
<span class="attribute">#[cfg(feature = <span class="string">&quot;serde&quot;</span>)]
</span><span class="kw">impl </span>serde::Serialize <span class="kw">for </span>BigInt {
<span class="kw">fn </span>serialize&lt;S&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, serializer: S) -&gt; <span class="prelude-ty">Result</span>&lt;S::Ok, S::Error&gt;
<span class="kw">where
</span>S: serde::Serializer,
{
<span class="comment">// Note: do not change the serialization format, or it may break
// forward and backward compatibility of serialized data!
</span>(<span class="self">self</span>.sign, <span class="kw-2">&amp;</span><span class="self">self</span>.data).serialize(serializer)
}
}
<span class="attribute">#[cfg(feature = <span class="string">&quot;serde&quot;</span>)]
</span><span class="kw">impl</span>&lt;<span class="lifetime">&#39;de</span>&gt; serde::Deserialize&lt;<span class="lifetime">&#39;de</span>&gt; <span class="kw">for </span>BigInt {
<span class="kw">fn </span>deserialize&lt;D&gt;(deserializer: D) -&gt; <span class="prelude-ty">Result</span>&lt;<span class="self">Self</span>, D::Error&gt;
<span class="kw">where
</span>D: serde::Deserializer&lt;<span class="lifetime">&#39;de</span>&gt;,
{
<span class="kw">let </span>(sign, data) = serde::Deserialize::deserialize(deserializer)<span class="question-mark">?</span>;
<span class="prelude-val">Ok</span>(BigInt::from_biguint(sign, data))
}
}
<span class="doccomment">/// A generic trait for converting a value to a `BigInt`. This may return
/// `None` when converting from `f32` or `f64`, and will always succeed
/// when converting from any integer or unsigned primitive, or `BigUint`.
</span><span class="kw">pub trait </span>ToBigInt {
<span class="doccomment">/// Converts the value of `self` to a `BigInt`.
</span><span class="kw">fn </span>to_bigint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt;;
}
<span class="kw">impl </span>ToBigInt <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_bigint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.clone())
}
}
<span class="kw">impl </span>ToBigInt <span class="kw">for </span>BigUint {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_bigint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="kw">if </span><span class="self">self</span>.is_zero() {
<span class="prelude-val">Some</span>(Zero::zero())
} <span class="kw">else </span>{
<span class="prelude-val">Some</span>(BigInt {
sign: Plus,
data: <span class="self">self</span>.clone(),
})
}
}
}
<span class="kw">impl </span>biguint::ToBigUint <span class="kw">for </span>BigInt {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_biguint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="kw">match </span><span class="self">self</span>.sign() {
Plus =&gt; <span class="prelude-val">Some</span>(<span class="self">self</span>.data.clone()),
NoSign =&gt; <span class="prelude-val">Some</span>(Zero::zero()),
Minus =&gt; <span class="prelude-val">None</span>,
}
}
}
<span class="macro">macro_rules! </span>impl_to_bigint {
(<span class="macro-nonterminal">$T</span>:ty, <span class="macro-nonterminal">$from_ty</span>:path) =&gt; {
<span class="kw">impl </span>ToBigInt <span class="kw">for </span><span class="macro-nonterminal">$T </span>{
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_bigint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="macro-nonterminal">$from_ty</span>(<span class="kw-2">*</span><span class="self">self</span>)
}
}
};
}
<span class="macro">impl_to_bigint!</span>(isize, FromPrimitive::from_isize);
<span class="macro">impl_to_bigint!</span>(i8, FromPrimitive::from_i8);
<span class="macro">impl_to_bigint!</span>(i16, FromPrimitive::from_i16);
<span class="macro">impl_to_bigint!</span>(i32, FromPrimitive::from_i32);
<span class="macro">impl_to_bigint!</span>(i64, FromPrimitive::from_i64);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">impl_to_bigint!</span>(i128, FromPrimitive::from_i128);
<span class="macro">impl_to_bigint!</span>(usize, FromPrimitive::from_usize);
<span class="macro">impl_to_bigint!</span>(u8, FromPrimitive::from_u8);
<span class="macro">impl_to_bigint!</span>(u16, FromPrimitive::from_u16);
<span class="macro">impl_to_bigint!</span>(u32, FromPrimitive::from_u32);
<span class="macro">impl_to_bigint!</span>(u64, FromPrimitive::from_u64);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">impl_to_bigint!</span>(u128, FromPrimitive::from_u128);
<span class="macro">impl_to_bigint!</span>(f32, FromPrimitive::from_f32);
<span class="macro">impl_to_bigint!</span>(f64, FromPrimitive::from_f64);
<span class="kw">impl </span>BigInt {
<span class="doccomment">/// Creates and initializes a BigInt.
///
/// The base 2&lt;sup&gt;32&lt;/sup&gt; digits are ordered least significant digit first.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>new(sign: Sign, digits: Vec&lt;u32&gt;) -&gt; BigInt {
BigInt::from_biguint(sign, BigUint::new(digits))
}
<span class="doccomment">/// Creates and initializes a `BigInt`.
///
/// The base 2&lt;sup&gt;32&lt;/sup&gt; digits are ordered least significant digit first.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>from_biguint(<span class="kw-2">mut </span>sign: Sign, <span class="kw-2">mut </span>data: BigUint) -&gt; BigInt {
<span class="kw">if </span>sign == NoSign {
data.assign_from_slice(<span class="kw-2">&amp;</span>[]);
} <span class="kw">else if </span>data.is_zero() {
sign = NoSign;
}
BigInt {
sign: sign,
data: data,
}
}
<span class="doccomment">/// Creates and initializes a `BigInt`.
///
/// The base 2&lt;sup&gt;32&lt;/sup&gt; digits are ordered least significant digit first.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>from_slice(sign: Sign, slice: <span class="kw-2">&amp;</span>[u32]) -&gt; BigInt {
BigInt::from_biguint(sign, BigUint::from_slice(slice))
}
<span class="doccomment">/// Reinitializes a `BigInt`.
///
/// The base 2&lt;sup&gt;32&lt;/sup&gt; digits are ordered least significant digit first.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>assign_from_slice(<span class="kw-2">&amp;mut </span><span class="self">self</span>, sign: Sign, slice: <span class="kw-2">&amp;</span>[u32]) {
<span class="kw">if </span>sign == NoSign {
<span class="self">self</span>.data.assign_from_slice(<span class="kw-2">&amp;</span>[]);
<span class="self">self</span>.sign = NoSign;
} <span class="kw">else </span>{
<span class="self">self</span>.data.assign_from_slice(slice);
<span class="self">self</span>.sign = <span class="kw">match </span><span class="self">self</span>.data.is_zero() {
<span class="bool-val">true </span>=&gt; NoSign,
<span class="bool-val">false </span>=&gt; sign,
}
}
}
<span class="doccomment">/// Creates and initializes a `BigInt`.
///
/// The bytes are in big-endian byte order.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, Sign};
///
/// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b&quot;A&quot;),
/// BigInt::parse_bytes(b&quot;65&quot;, 10).unwrap());
/// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b&quot;AA&quot;),
/// BigInt::parse_bytes(b&quot;16705&quot;, 10).unwrap());
/// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b&quot;AB&quot;),
/// BigInt::parse_bytes(b&quot;16706&quot;, 10).unwrap());
/// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b&quot;Hello world!&quot;),
/// BigInt::parse_bytes(b&quot;22405534230753963835153736737&quot;, 10).unwrap());
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>from_bytes_be(sign: Sign, bytes: <span class="kw-2">&amp;</span>[u8]) -&gt; BigInt {
BigInt::from_biguint(sign, BigUint::from_bytes_be(bytes))
}
<span class="doccomment">/// Creates and initializes a `BigInt`.
///
/// The bytes are in little-endian byte order.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>from_bytes_le(sign: Sign, bytes: <span class="kw-2">&amp;</span>[u8]) -&gt; BigInt {
BigInt::from_biguint(sign, BigUint::from_bytes_le(bytes))
}
<span class="doccomment">/// Creates and initializes a `BigInt` from an array of bytes in
/// two&#39;s complement binary representation.
///
/// The digits are in big-endian base 2&lt;sup&gt;8&lt;/sup&gt;.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>from_signed_bytes_be(digits: <span class="kw-2">&amp;</span>[u8]) -&gt; BigInt {
<span class="kw">let </span>sign = <span class="kw">match </span>digits.first() {
<span class="prelude-val">Some</span>(v) <span class="kw">if </span><span class="kw-2">*</span>v &gt; <span class="number">0x7f </span>=&gt; Sign::Minus,
<span class="prelude-val">Some</span>(<span class="kw">_</span>) =&gt; Sign::Plus,
<span class="prelude-val">None </span>=&gt; <span class="kw">return </span>BigInt::zero(),
};
<span class="kw">if </span>sign == Sign::Minus {
<span class="comment">// two&#39;s-complement the content to retrieve the magnitude
</span><span class="kw">let </span><span class="kw-2">mut </span>digits = Vec::from(digits);
twos_complement_be(<span class="kw-2">&amp;mut </span>digits);
BigInt::from_biguint(sign, BigUint::from_bytes_be(<span class="kw-2">&amp;*</span>digits))
} <span class="kw">else </span>{
BigInt::from_biguint(sign, BigUint::from_bytes_be(digits))
}
}
<span class="doccomment">/// Creates and initializes a `BigInt` from an array of bytes in two&#39;s complement.
///
/// The digits are in little-endian base 2&lt;sup&gt;8&lt;/sup&gt;.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>from_signed_bytes_le(digits: <span class="kw-2">&amp;</span>[u8]) -&gt; BigInt {
<span class="kw">let </span>sign = <span class="kw">match </span>digits.last() {
<span class="prelude-val">Some</span>(v) <span class="kw">if </span><span class="kw-2">*</span>v &gt; <span class="number">0x7f </span>=&gt; Sign::Minus,
<span class="prelude-val">Some</span>(<span class="kw">_</span>) =&gt; Sign::Plus,
<span class="prelude-val">None </span>=&gt; <span class="kw">return </span>BigInt::zero(),
};
<span class="kw">if </span>sign == Sign::Minus {
<span class="comment">// two&#39;s-complement the content to retrieve the magnitude
</span><span class="kw">let </span><span class="kw-2">mut </span>digits = Vec::from(digits);
twos_complement_le(<span class="kw-2">&amp;mut </span>digits);
BigInt::from_biguint(sign, BigUint::from_bytes_le(<span class="kw-2">&amp;*</span>digits))
} <span class="kw">else </span>{
BigInt::from_biguint(sign, BigUint::from_bytes_le(digits))
}
}
<span class="doccomment">/// Creates and initializes a `BigInt`.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, ToBigInt};
///
/// assert_eq!(BigInt::parse_bytes(b&quot;1234&quot;, 10), ToBigInt::to_bigint(&amp;1234));
/// assert_eq!(BigInt::parse_bytes(b&quot;ABCD&quot;, 16), ToBigInt::to_bigint(&amp;0xABCD));
/// assert_eq!(BigInt::parse_bytes(b&quot;G&quot;, 16), None);
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>parse_bytes(buf: <span class="kw-2">&amp;</span>[u8], radix: u32) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
str::from_utf8(buf)
.ok()
.and_then(|s| BigInt::from_str_radix(s, radix).ok())
}
<span class="doccomment">/// Creates and initializes a `BigInt`. Each u8 of the input slice is
/// interpreted as one digit of the number
/// and must therefore be less than `radix`.
///
/// The bytes are in big-endian byte order.
/// `radix` must be in the range `2...256`.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, Sign};
///
/// let inbase190 = vec![15, 33, 125, 12, 14];
/// let a = BigInt::from_radix_be(Sign::Minus, &amp;inbase190, 190).unwrap();
/// assert_eq!(a.to_radix_be(190), (Sign:: Minus, inbase190));
/// ```
</span><span class="kw">pub fn </span>from_radix_be(sign: Sign, buf: <span class="kw-2">&amp;</span>[u8], radix: u32) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
BigUint::from_radix_be(buf, radix).map(|u| BigInt::from_biguint(sign, u))
}
<span class="doccomment">/// Creates and initializes a `BigInt`. Each u8 of the input slice is
/// interpreted as one digit of the number
/// and must therefore be less than `radix`.
///
/// The bytes are in little-endian byte order.
/// `radix` must be in the range `2...256`.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, Sign};
///
/// let inbase190 = vec![14, 12, 125, 33, 15];
/// let a = BigInt::from_radix_be(Sign::Minus, &amp;inbase190, 190).unwrap();
/// assert_eq!(a.to_radix_be(190), (Sign::Minus, inbase190));
/// ```
</span><span class="kw">pub fn </span>from_radix_le(sign: Sign, buf: <span class="kw-2">&amp;</span>[u8], radix: u32) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
BigUint::from_radix_le(buf, radix).map(|u| BigInt::from_biguint(sign, u))
}
<span class="doccomment">/// Returns the sign and the byte representation of the `BigInt` in big-endian byte order.
///
/// # Examples
///
/// ```
/// use num_bigint::{ToBigInt, Sign};
///
/// let i = -1125.to_bigint().unwrap();
/// assert_eq!(i.to_bytes_be(), (Sign::Minus, vec![4, 101]));
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_bytes_be(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; (Sign, Vec&lt;u8&gt;) {
(<span class="self">self</span>.sign, <span class="self">self</span>.data.to_bytes_be())
}
<span class="doccomment">/// Returns the sign and the byte representation of the `BigInt` in little-endian byte order.
///
/// # Examples
///
/// ```
/// use num_bigint::{ToBigInt, Sign};
///
/// let i = -1125.to_bigint().unwrap();
/// assert_eq!(i.to_bytes_le(), (Sign::Minus, vec![101, 4]));
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_bytes_le(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; (Sign, Vec&lt;u8&gt;) {
(<span class="self">self</span>.sign, <span class="self">self</span>.data.to_bytes_le())
}
<span class="doccomment">/// Returns the sign and the `u32` digits representation of the `BigInt` ordered least
/// significant digit first.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, Sign};
///
/// assert_eq!(BigInt::from(-1125).to_u32_digits(), (Sign::Minus, vec![1125]));
/// assert_eq!(BigInt::from(4294967295u32).to_u32_digits(), (Sign::Plus, vec![4294967295]));
/// assert_eq!(BigInt::from(4294967296u64).to_u32_digits(), (Sign::Plus, vec![0, 1]));
/// assert_eq!(BigInt::from(-112500000000i64).to_u32_digits(), (Sign::Minus, vec![830850304, 26]));
/// assert_eq!(BigInt::from(112500000000i64).to_u32_digits(), (Sign::Plus, vec![830850304, 26]));
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_u32_digits(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; (Sign, Vec&lt;u32&gt;) {
(<span class="self">self</span>.sign, <span class="self">self</span>.data.to_u32_digits())
}
<span class="doccomment">/// Returns the two&#39;s-complement byte representation of the `BigInt` in big-endian byte order.
///
/// # Examples
///
/// ```
/// use num_bigint::ToBigInt;
///
/// let i = -1125.to_bigint().unwrap();
/// assert_eq!(i.to_signed_bytes_be(), vec![251, 155]);
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_signed_bytes_be(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; Vec&lt;u8&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>bytes = <span class="self">self</span>.data.to_bytes_be();
<span class="kw">let </span>first_byte = bytes.first().cloned().unwrap_or(<span class="number">0</span>);
<span class="kw">if </span>first_byte &gt; <span class="number">0x7f
</span>&amp;&amp; !(first_byte == <span class="number">0x80
</span>&amp;&amp; bytes.iter().skip(<span class="number">1</span>).all(Zero::is_zero)
&amp;&amp; <span class="self">self</span>.sign == Sign::Minus)
{
<span class="comment">// msb used by magnitude, extend by 1 byte
</span>bytes.insert(<span class="number">0</span>, <span class="number">0</span>);
}
<span class="kw">if </span><span class="self">self</span>.sign == Sign::Minus {
twos_complement_be(<span class="kw-2">&amp;mut </span>bytes);
}
bytes
}
<span class="doccomment">/// Returns the two&#39;s-complement byte representation of the `BigInt` in little-endian byte order.
///
/// # Examples
///
/// ```
/// use num_bigint::ToBigInt;
///
/// let i = -1125.to_bigint().unwrap();
/// assert_eq!(i.to_signed_bytes_le(), vec![155, 251]);
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_signed_bytes_le(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; Vec&lt;u8&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>bytes = <span class="self">self</span>.data.to_bytes_le();
<span class="kw">let </span>last_byte = bytes.last().cloned().unwrap_or(<span class="number">0</span>);
<span class="kw">if </span>last_byte &gt; <span class="number">0x7f
</span>&amp;&amp; !(last_byte == <span class="number">0x80
</span>&amp;&amp; bytes.iter().rev().skip(<span class="number">1</span>).all(Zero::is_zero)
&amp;&amp; <span class="self">self</span>.sign == Sign::Minus)
{
<span class="comment">// msb used by magnitude, extend by 1 byte
</span>bytes.push(<span class="number">0</span>);
}
<span class="kw">if </span><span class="self">self</span>.sign == Sign::Minus {
twos_complement_le(<span class="kw-2">&amp;mut </span>bytes);
}
bytes
}
<span class="doccomment">/// Returns the integer formatted as a string in the given radix.
/// `radix` must be in the range `2...36`.
///
/// # Examples
///
/// ```
/// use num_bigint::BigInt;
///
/// let i = BigInt::parse_bytes(b&quot;ff&quot;, 16).unwrap();
/// assert_eq!(i.to_str_radix(16), &quot;ff&quot;);
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_str_radix(<span class="kw-2">&amp;</span><span class="self">self</span>, radix: u32) -&gt; String {
<span class="kw">let </span><span class="kw-2">mut </span>v = to_str_radix_reversed(<span class="kw-2">&amp;</span><span class="self">self</span>.data, radix);
<span class="kw">if </span><span class="self">self</span>.is_negative() {
v.push(<span class="string">b&#39;-&#39;</span>);
}
v.reverse();
<span class="kw">unsafe </span>{ String::from_utf8_unchecked(v) }
}
<span class="doccomment">/// Returns the integer in the requested base in big-endian digit order.
/// The output is not given in a human readable alphabet but as a zero
/// based u8 number.
/// `radix` must be in the range `2...256`.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, Sign};
///
/// assert_eq!(BigInt::from(-0xFFFFi64).to_radix_be(159),
/// (Sign::Minus, vec![2, 94, 27]));
/// // 0xFFFF = 65535 = 2*(159^2) + 94*159 + 27
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_radix_be(<span class="kw-2">&amp;</span><span class="self">self</span>, radix: u32) -&gt; (Sign, Vec&lt;u8&gt;) {
(<span class="self">self</span>.sign, <span class="self">self</span>.data.to_radix_be(radix))
}
<span class="doccomment">/// Returns the integer in the requested base in little-endian digit order.
/// The output is not given in a human readable alphabet but as a zero
/// based u8 number.
/// `radix` must be in the range `2...256`.
///
/// # Examples
///
/// ```
/// use num_bigint::{BigInt, Sign};
///
/// assert_eq!(BigInt::from(-0xFFFFi64).to_radix_le(159),
/// (Sign::Minus, vec![27, 94, 2]));
/// // 0xFFFF = 65535 = 27 + 94*159 + 2*(159^2)
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_radix_le(<span class="kw-2">&amp;</span><span class="self">self</span>, radix: u32) -&gt; (Sign, Vec&lt;u8&gt;) {
(<span class="self">self</span>.sign, <span class="self">self</span>.data.to_radix_le(radix))
}
<span class="doccomment">/// Returns the sign of the `BigInt` as a `Sign`.
///
/// # Examples
///
/// ```
/// use num_bigint::{ToBigInt, Sign};
///
/// assert_eq!(ToBigInt::to_bigint(&amp;1234).unwrap().sign(), Sign::Plus);
/// assert_eq!(ToBigInt::to_bigint(&amp;-4321).unwrap().sign(), Sign::Minus);
/// assert_eq!(ToBigInt::to_bigint(&amp;0).unwrap().sign(), Sign::NoSign);
/// ```
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>sign(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; Sign {
<span class="self">self</span>.sign
}
<span class="doccomment">/// Determines the fewest bits necessary to express the `BigInt`,
/// not including the sign.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>bits(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; usize {
<span class="self">self</span>.data.bits()
}
<span class="doccomment">/// Converts this `BigInt` into a `BigUint`, if it&#39;s not negative.
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>to_biguint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="kw">match </span><span class="self">self</span>.sign {
Plus =&gt; <span class="prelude-val">Some</span>(<span class="self">self</span>.data.clone()),
NoSign =&gt; <span class="prelude-val">Some</span>(Zero::zero()),
Minus =&gt; <span class="prelude-val">None</span>,
}
}
<span class="attribute">#[inline]
</span><span class="kw">pub fn </span>checked_add(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.add(v))
}
<span class="attribute">#[inline]
</span><span class="kw">pub fn </span>checked_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.sub(v))
}
<span class="attribute">#[inline]
</span><span class="kw">pub fn </span>checked_mul(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.mul(v))
}
<span class="attribute">#[inline]
</span><span class="kw">pub fn </span>checked_div(<span class="kw-2">&amp;</span><span class="self">self</span>, v: <span class="kw-2">&amp;</span>BigInt) -&gt; <span class="prelude-ty">Option</span>&lt;BigInt&gt; {
<span class="kw">if </span>v.is_zero() {
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="prelude-val">Some</span>(<span class="self">self</span>.div(v))
}
<span class="doccomment">/// Returns `(self ^ exponent) mod modulus`
///
/// Note that this rounds like `mod_floor`, not like the `%` operator,
/// which makes a difference when given a negative `self` or `modulus`.
/// The result will be in the interval `[0, modulus)` for `modulus &gt; 0`,
/// or in the interval `(modulus, 0]` for `modulus &lt; 0`
///
/// Panics if the exponent is negative or the modulus is zero.
</span><span class="kw">pub fn </span>modpow(<span class="kw-2">&amp;</span><span class="self">self</span>, exponent: <span class="kw-2">&amp;</span><span class="self">Self</span>, modulus: <span class="kw-2">&amp;</span><span class="self">Self</span>) -&gt; <span class="self">Self </span>{
<span class="macro">assert!</span>(
!exponent.is_negative(),
<span class="string">&quot;negative exponentiation is not supported!&quot;
</span>);
<span class="macro">assert!</span>(!modulus.is_zero(), <span class="string">&quot;divide by zero!&quot;</span>);
<span class="kw">let </span>result = <span class="self">self</span>.data.modpow(<span class="kw-2">&amp;</span>exponent.data, <span class="kw-2">&amp;</span>modulus.data);
<span class="kw">if </span>result.is_zero() {
<span class="kw">return </span>BigInt::zero();
}
<span class="comment">// The sign of the result follows the modulus, like `mod_floor`.
</span><span class="kw">let </span>(sign, mag) = <span class="kw">match </span>(
<span class="self">self</span>.is_negative() &amp;&amp; exponent.is_odd(),
modulus.is_negative(),
) {
(<span class="bool-val">false</span>, <span class="bool-val">false</span>) =&gt; (Plus, result),
(<span class="bool-val">true</span>, <span class="bool-val">false</span>) =&gt; (Plus, <span class="kw-2">&amp;</span>modulus.data - result),
(<span class="bool-val">false</span>, <span class="bool-val">true</span>) =&gt; (Minus, <span class="kw-2">&amp;</span>modulus.data - result),
(<span class="bool-val">true</span>, <span class="bool-val">true</span>) =&gt; (Minus, result),
};
BigInt::from_biguint(sign, mag)
}
<span class="doccomment">/// Returns the truncated principal square root of `self` --
/// see [Roots::sqrt](https://docs.rs/num-integer/0.1/num_integer/trait.Roots.html#method.sqrt).
</span><span class="kw">pub fn </span>sqrt(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self </span>{
Roots::sqrt(<span class="self">self</span>)
}
<span class="doccomment">/// Returns the truncated principal cube root of `self` --
/// see [Roots::cbrt](https://docs.rs/num-integer/0.1/num_integer/trait.Roots.html#method.cbrt).
</span><span class="kw">pub fn </span>cbrt(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self </span>{
Roots::cbrt(<span class="self">self</span>)
}
<span class="doccomment">/// Returns the truncated principal `n`th root of `self` --
/// See [Roots::nth_root](https://docs.rs/num-integer/0.1/num_integer/trait.Roots.html#tymethod.nth_root).
</span><span class="kw">pub fn </span>nth_root(<span class="kw-2">&amp;</span><span class="self">self</span>, n: u32) -&gt; <span class="self">Self </span>{
Roots::nth_root(<span class="self">self</span>, n)
}
}
<span class="macro">impl_sum_iter_type!</span>(BigInt);
<span class="macro">impl_product_iter_type!</span>(BigInt);
<span class="doccomment">/// Perform in-place two&#39;s complement of the given binary representation,
/// in little-endian byte order.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>twos_complement_le(digits: <span class="kw-2">&amp;mut </span>[u8]) {
twos_complement(digits)
}
<span class="doccomment">/// Perform in-place two&#39;s complement of the given binary representation
/// in big-endian byte order.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>twos_complement_be(digits: <span class="kw-2">&amp;mut </span>[u8]) {
twos_complement(digits.iter_mut().rev())
}
<span class="doccomment">/// Perform in-place two&#39;s complement of the given digit iterator
/// starting from the least significant byte.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>twos_complement&lt;<span class="lifetime">&#39;a</span>, I&gt;(digits: I)
<span class="kw">where
</span>I: IntoIterator&lt;Item = <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span><span class="kw-2">mut </span>u8&gt;,
{
<span class="kw">let </span><span class="kw-2">mut </span>carry = <span class="bool-val">true</span>;
<span class="kw">for </span>d <span class="kw">in </span>digits {
<span class="kw-2">*</span>d = d.not();
<span class="kw">if </span>carry {
<span class="kw-2">*</span>d = d.wrapping_add(<span class="number">1</span>);
carry = d.is_zero();
}
}
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>test_from_biguint() {
<span class="kw">fn </span>check(inp_s: Sign, inp_n: usize, ans_s: Sign, ans_n: usize) {
<span class="kw">let </span>inp = BigInt::from_biguint(inp_s, FromPrimitive::from_usize(inp_n).unwrap());
<span class="kw">let </span>ans = BigInt {
sign: ans_s,
data: FromPrimitive::from_usize(ans_n).unwrap(),
};
<span class="macro">assert_eq!</span>(inp, ans);
}
check(Plus, <span class="number">1</span>, Plus, <span class="number">1</span>);
check(Plus, <span class="number">0</span>, NoSign, <span class="number">0</span>);
check(Minus, <span class="number">1</span>, Minus, <span class="number">1</span>);
check(NoSign, <span class="number">1</span>, NoSign, <span class="number">0</span>);
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>test_from_slice() {
<span class="kw">fn </span>check(inp_s: Sign, inp_n: u32, ans_s: Sign, ans_n: u32) {
<span class="kw">let </span>inp = BigInt::from_slice(inp_s, <span class="kw-2">&amp;</span>[inp_n]);
<span class="kw">let </span>ans = BigInt {
sign: ans_s,
data: FromPrimitive::from_u32(ans_n).unwrap(),
};
<span class="macro">assert_eq!</span>(inp, ans);
}
check(Plus, <span class="number">1</span>, Plus, <span class="number">1</span>);
check(Plus, <span class="number">0</span>, NoSign, <span class="number">0</span>);
check(Minus, <span class="number">1</span>, Minus, <span class="number">1</span>);
check(NoSign, <span class="number">1</span>, NoSign, <span class="number">0</span>);
}
<span class="attribute">#[test]
</span><span class="kw">fn </span>test_assign_from_slice() {
<span class="kw">fn </span>check(inp_s: Sign, inp_n: u32, ans_s: Sign, ans_n: u32) {
<span class="kw">let </span><span class="kw-2">mut </span>inp = BigInt::from_slice(Minus, <span class="kw-2">&amp;</span>[<span class="number">2627_u32</span>, <span class="number">0_u32</span>, <span class="number">9182_u32</span>, <span class="number">42_u32</span>]);
inp.assign_from_slice(inp_s, <span class="kw-2">&amp;</span>[inp_n]);
<span class="kw">let </span>ans = BigInt {
sign: ans_s,
data: FromPrimitive::from_u32(ans_n).unwrap(),
};
<span class="macro">assert_eq!</span>(inp, ans);
}
check(Plus, <span class="number">1</span>, Plus, <span class="number">1</span>);
check(Plus, <span class="number">0</span>, NoSign, <span class="number">0</span>);
check(Minus, <span class="number">1</span>, Minus, <span class="number">1</span>);
check(NoSign, <span class="number">1</span>, NoSign, <span class="number">0</span>);
}
</code></pre></div>
</section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="num_bigint" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html>