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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-0.3.3/src/biguint/addition.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>addition.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">#[cfg(not(u64_digit))]
</span><span class="kw">use </span><span class="kw">super</span>::u32_from_u128;
<span class="kw">use super</span>::{BigUint, IntDigits};
<span class="kw">use </span><span class="kw">crate</span>::big_digit::{<span class="self">self</span>, BigDigit};
<span class="kw">use </span><span class="kw">crate</span>::UsizePromotion;
<span class="kw">use </span>core::iter::Sum;
<span class="kw">use </span>core::ops::{Add, AddAssign};
<span class="kw">use </span>num_traits::{CheckedAdd, Zero};
<span class="attribute">#[cfg(all(use_addcarry, target_arch = <span class="string">&quot;x86_64&quot;</span>))]
</span><span class="kw">use </span>core::arch::x86_64 <span class="kw">as </span>arch;
<span class="attribute">#[cfg(all(use_addcarry, target_arch = <span class="string">&quot;x86&quot;</span>))]
</span><span class="kw">use </span>core::arch::x86 <span class="kw">as </span>arch;
<span class="comment">// Add with carry:
</span><span class="attribute">#[cfg(all(use_addcarry, u64_digit))]
#[inline]
</span><span class="kw">fn </span>adc(carry: u8, a: u64, b: u64, out: <span class="kw-2">&amp;mut </span>u64) -&gt; u8 {
<span class="comment">// Safety: There are absolutely no safety concerns with calling `_addcarry_u64`.
// It&#39;s just unsafe for API consistency with other intrinsics.
</span><span class="kw">unsafe </span>{ arch::_addcarry_u64(carry, a, b, out) }
}
<span class="attribute">#[cfg(all(use_addcarry, not(u64_digit)))]
#[inline]
</span><span class="kw">fn </span>adc(carry: u8, a: u32, b: u32, out: <span class="kw-2">&amp;mut </span>u32) -&gt; u8 {
<span class="comment">// Safety: There are absolutely no safety concerns with calling `_addcarry_u32`.
// It&#39;s just unsafe for API consistency with other intrinsics.
</span><span class="kw">unsafe </span>{ arch::_addcarry_u32(carry, a, b, out) }
}
<span class="comment">// fallback for environments where we don&#39;t have an addcarry intrinsic
</span><span class="attribute">#[cfg(not(use_addcarry))]
#[inline]
</span><span class="kw">fn </span>adc(carry: u8, a: BigDigit, b: BigDigit, out: <span class="kw-2">&amp;mut </span>BigDigit) -&gt; u8 {
<span class="kw">use </span><span class="kw">crate</span>::big_digit::DoubleBigDigit;
<span class="kw">let </span>sum = DoubleBigDigit::from(a) + DoubleBigDigit::from(b) + DoubleBigDigit::from(carry);
<span class="kw-2">*</span>out = sum <span class="kw">as </span>BigDigit;
(sum &gt;&gt; big_digit::BITS) <span class="kw">as </span>u8
}
<span class="doccomment">/// Two argument addition of raw slices, `a += b`, returning the carry.
///
/// This is used when the data `Vec` might need to resize to push a non-zero carry, so we perform
/// the addition first hoping that it will fit.
///
/// The caller _must_ ensure that `a` is at least as long as `b`.
</span><span class="attribute">#[inline]
</span><span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>__add2(a: <span class="kw-2">&amp;mut </span>[BigDigit], b: <span class="kw-2">&amp;</span>[BigDigit]) -&gt; BigDigit {
<span class="macro">debug_assert!</span>(a.len() &gt;= b.len());
<span class="kw">let </span><span class="kw-2">mut </span>carry = <span class="number">0</span>;
<span class="kw">let </span>(a_lo, a_hi) = a.split_at_mut(b.len());
<span class="kw">for </span>(a, b) <span class="kw">in </span>a_lo.iter_mut().zip(b) {
carry = adc(carry, <span class="kw-2">*</span>a, <span class="kw-2">*</span>b, a);
}
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="kw">for </span>a <span class="kw">in </span>a_hi {
carry = adc(carry, <span class="kw-2">*</span>a, <span class="number">0</span>, a);
<span class="kw">if </span>carry == <span class="number">0 </span>{
<span class="kw">break</span>;
}
}
}
carry <span class="kw">as </span>BigDigit
}
<span class="doccomment">/// Two argument addition of raw slices:
/// a += b
///
/// The caller _must_ ensure that a is big enough to store the result - typically this means
/// resizing a to max(a.len(), b.len()) + 1, to fit a possible carry.
</span><span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>add2(a: <span class="kw-2">&amp;mut </span>[BigDigit], b: <span class="kw-2">&amp;</span>[BigDigit]) {
<span class="kw">let </span>carry = __add2(a, b);
<span class="macro">debug_assert!</span>(carry == <span class="number">0</span>);
}
<span class="macro">forward_all_binop_to_val_ref_commutative!</span>(<span class="kw">impl </span>Add <span class="kw">for </span>BigUint, add);
<span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>AddAssign <span class="kw">for </span>BigUint, add_assign);
<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>BigUint&gt; <span class="kw">for </span>BigUint {
<span class="kw">type </span>Output = BigUint;
<span class="kw">fn </span>add(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>BigUint) -&gt; BigUint {
<span class="self">self </span>+= other;
<span class="self">self
</span>}
}
<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>BigUint&gt; <span class="kw">for </span>BigUint {
<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>BigUint) {
<span class="kw">let </span>self_len = <span class="self">self</span>.data.len();
<span class="kw">let </span>carry = <span class="kw">if </span>self_len &lt; other.data.len() {
<span class="kw">let </span>lo_carry = __add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data[..], <span class="kw-2">&amp;</span>other.data[..self_len]);
<span class="self">self</span>.data.extend_from_slice(<span class="kw-2">&amp;</span>other.data[self_len..]);
__add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data[self_len..], <span class="kw-2">&amp;</span>[lo_carry])
} <span class="kw">else </span>{
__add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data[..], <span class="kw-2">&amp;</span>other.data[..])
};
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="self">self</span>.data.push(carry);
}
}
}
<span class="macro">promote_unsigned_scalars!</span>(<span class="kw">impl </span>Add <span class="kw">for </span>BigUint, add);
<span class="macro">promote_unsigned_scalars_assign!</span>(<span class="kw">impl </span>AddAssign <span class="kw">for </span>BigUint, 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>BigUint, 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>BigUint, add);
<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>BigUint, add);
<span class="kw">impl </span>Add&lt;u32&gt; <span class="kw">for </span>BigUint {
<span class="kw">type </span>Output = BigUint;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="kw-2">mut </span><span class="self">self</span>, other: u32) -&gt; BigUint {
<span class="self">self </span>+= other;
<span class="self">self
</span>}
}
<span class="kw">impl </span>AddAssign&lt;u32&gt; <span class="kw">for </span>BigUint {
<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">if </span>other != <span class="number">0 </span>{
<span class="kw">if </span><span class="self">self</span>.data.is_empty() {
<span class="self">self</span>.data.push(<span class="number">0</span>);
}
<span class="kw">let </span>carry = __add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data, <span class="kw-2">&amp;</span>[other <span class="kw">as </span>BigDigit]);
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="self">self</span>.data.push(carry);
}
}
}
}
<span class="kw">impl </span>Add&lt;u64&gt; <span class="kw">for </span>BigUint {
<span class="kw">type </span>Output = BigUint;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="kw-2">mut </span><span class="self">self</span>, other: u64) -&gt; BigUint {
<span class="self">self </span>+= other;
<span class="self">self
</span>}
}
<span class="kw">impl </span>AddAssign&lt;u64&gt; <span class="kw">for </span>BigUint {
<span class="attribute">#[cfg(not(u64_digit))]
#[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>(hi, lo) = big_digit::from_doublebigdigit(other);
<span class="kw">if </span>hi == <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>+= lo;
} <span class="kw">else </span>{
<span class="kw">while </span><span class="self">self</span>.data.len() &lt; <span class="number">2 </span>{
<span class="self">self</span>.data.push(<span class="number">0</span>);
}
<span class="kw">let </span>carry = __add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data, <span class="kw-2">&amp;</span>[lo, hi]);
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="self">self</span>.data.push(carry);
}
}
}
<span class="attribute">#[cfg(u64_digit)]
#[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">if </span>other != <span class="number">0 </span>{
<span class="kw">if </span><span class="self">self</span>.data.is_empty() {
<span class="self">self</span>.data.push(<span class="number">0</span>);
}
<span class="kw">let </span>carry = __add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data, <span class="kw-2">&amp;</span>[other <span class="kw">as </span>BigDigit]);
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="self">self</span>.data.push(carry);
}
}
}
}
<span class="kw">impl </span>Add&lt;u128&gt; <span class="kw">for </span>BigUint {
<span class="kw">type </span>Output = BigUint;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>add(<span class="kw-2">mut </span><span class="self">self</span>, other: u128) -&gt; BigUint {
<span class="self">self </span>+= other;
<span class="self">self
</span>}
}
<span class="kw">impl </span>AddAssign&lt;u128&gt; <span class="kw">for </span>BigUint {
<span class="attribute">#[cfg(not(u64_digit))]
#[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">if </span>other &lt;= u128::from(u64::max_value()) {
<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">let </span>(a, b, c, d) = u32_from_u128(other);
<span class="kw">let </span>carry = <span class="kw">if </span>a &gt; <span class="number">0 </span>{
<span class="kw">while </span><span class="self">self</span>.data.len() &lt; <span class="number">4 </span>{
<span class="self">self</span>.data.push(<span class="number">0</span>);
}
__add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data, <span class="kw-2">&amp;</span>[d, c, b, a])
} <span class="kw">else </span>{
<span class="macro">debug_assert!</span>(b &gt; <span class="number">0</span>);
<span class="kw">while </span><span class="self">self</span>.data.len() &lt; <span class="number">3 </span>{
<span class="self">self</span>.data.push(<span class="number">0</span>);
}
__add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data, <span class="kw-2">&amp;</span>[d, c, b])
};
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="self">self</span>.data.push(carry);
}
}
}
<span class="attribute">#[cfg(u64_digit)]
#[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>(hi, lo) = big_digit::from_doublebigdigit(other);
<span class="kw">if </span>hi == <span class="number">0 </span>{
<span class="kw-2">*</span><span class="self">self </span>+= lo;
} <span class="kw">else </span>{
<span class="kw">while </span><span class="self">self</span>.data.len() &lt; <span class="number">2 </span>{
<span class="self">self</span>.data.push(<span class="number">0</span>);
}
<span class="kw">let </span>carry = __add2(<span class="kw-2">&amp;mut </span><span class="self">self</span>.data, <span class="kw-2">&amp;</span>[lo, hi]);
<span class="kw">if </span>carry != <span class="number">0 </span>{
<span class="self">self</span>.data.push(carry);
}
}
}
}
<span class="kw">impl </span>CheckedAdd <span class="kw">for </span>BigUint {
<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>BigUint) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="prelude-val">Some</span>(<span class="self">self</span>.add(v))
}
}
<span class="macro">impl_sum_iter_type!</span>(BigUint);
</code></pre></div>
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