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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/convert.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>convert.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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<span id="605">605</span>
<span id="606">606</span>
<span id="607">607</span>
<span id="608">608</span>
<span id="609">609</span>
<span id="610">610</span>
<span id="611">611</span>
<span id="612">612</span>
<span id="613">613</span>
<span id="614">614</span>
<span id="615">615</span>
<span id="616">616</span>
<span id="617">617</span>
<span id="618">618</span>
<span id="619">619</span>
<span id="620">620</span>
<span id="621">621</span>
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<span id="626">626</span>
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<span id="628">628</span>
<span id="629">629</span>
<span id="630">630</span>
<span id="631">631</span>
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<span id="635">635</span>
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<span id="640">640</span>
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<span id="654">654</span>
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<span id="661">661</span>
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<span id="663">663</span>
<span id="664">664</span>
<span id="665">665</span>
<span id="666">666</span>
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<span id="668">668</span>
<span id="669">669</span>
<span id="670">670</span>
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<span id="673">673</span>
<span id="674">674</span>
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<span id="688">688</span>
<span id="689">689</span>
<span id="690">690</span>
<span id="691">691</span>
<span id="692">692</span>
<span id="693">693</span>
<span id="694">694</span>
<span id="695">695</span>
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<span id="699">699</span>
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<span id="703">703</span>
<span id="704">704</span>
<span id="705">705</span>
<span id="706">706</span>
<span id="707">707</span>
<span id="708">708</span>
<span id="709">709</span>
<span id="710">710</span>
<span id="711">711</span>
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<span id="731">731</span>
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<span id="735">735</span>
<span id="736">736</span>
<span id="737">737</span>
<span id="738">738</span>
<span id="739">739</span>
<span id="740">740</span>
<span id="741">741</span>
<span id="742">742</span>
<span id="743">743</span>
<span id="744">744</span>
<span id="745">745</span>
<span id="746">746</span>
<span id="747">747</span>
<span id="748">748</span>
<span id="749">749</span>
<span id="750">750</span>
<span id="751">751</span>
</pre><pre class="rust"><code><span class="kw">use super</span>::{biguint_from_vec, BigUint, ToBigUint};
<span class="kw">use </span><span class="kw">super</span>::addition::add2;
<span class="kw">use </span><span class="kw">super</span>::division::div_rem_digit;
<span class="kw">use </span><span class="kw">super</span>::multiplication::mac_with_carry;
<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>::std_alloc::Vec;
<span class="kw">use </span><span class="kw">crate</span>::ParseBigIntError;
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">use </span><span class="kw">crate</span>::TryFromBigIntError;
<span class="kw">use </span>core::cmp::Ordering::{Equal, Greater, Less};
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">use </span>core::convert::TryFrom;
<span class="kw">use </span>core::mem;
<span class="kw">use </span>core::str::FromStr;
<span class="kw">use </span>num_integer::Integer;
<span class="kw">use </span>num_traits::float::FloatCore;
<span class="kw">use </span>num_traits::{FromPrimitive, Num, PrimInt, ToPrimitive, Zero};
<span class="doccomment">/// Find last set bit
/// fls(0) == 0, fls(u32::MAX) == 32
</span><span class="kw">fn </span>fls&lt;T: PrimInt&gt;(v: T) -&gt; u8 {
mem::size_of::&lt;T&gt;() <span class="kw">as </span>u8 * <span class="number">8 </span>- v.leading_zeros() <span class="kw">as </span>u8
}
<span class="kw">fn </span>ilog2&lt;T: PrimInt&gt;(v: T) -&gt; u8 {
fls(v) - <span class="number">1
</span>}
<span class="kw">impl </span>FromStr <span class="kw">for </span>BigUint {
<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;BigUint, ParseBigIntError&gt; {
BigUint::from_str_radix(s, <span class="number">10</span>)
}
}
<span class="comment">// Convert from a power of two radix (bits == ilog2(radix)) where bits evenly divides
// BigDigit::BITS
</span><span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>from_bitwise_digits_le(v: <span class="kw-2">&amp;</span>[u8], bits: u8) -&gt; BigUint {
<span class="macro">debug_assert!</span>(!v.is_empty() &amp;&amp; bits &lt;= <span class="number">8 </span>&amp;&amp; big_digit::BITS % bits == <span class="number">0</span>);
<span class="macro">debug_assert!</span>(v.iter().all(|<span class="kw-2">&amp;</span>c| BigDigit::from(c) &lt; (<span class="number">1 </span>&lt;&lt; bits)));
<span class="kw">let </span>digits_per_big_digit = big_digit::BITS / bits;
<span class="kw">let </span>data = v
.chunks(digits_per_big_digit.into())
.map(|chunk| {
chunk
.iter()
.rev()
.fold(<span class="number">0</span>, |acc, <span class="kw-2">&amp;</span>c| (acc &lt;&lt; bits) | BigDigit::from(c))
})
.collect();
biguint_from_vec(data)
}
<span class="comment">// Convert from a power of two radix (bits == ilog2(radix)) where bits doesn&#39;t evenly divide
// BigDigit::BITS
</span><span class="kw">fn </span>from_inexact_bitwise_digits_le(v: <span class="kw-2">&amp;</span>[u8], bits: u8) -&gt; BigUint {
<span class="macro">debug_assert!</span>(!v.is_empty() &amp;&amp; bits &lt;= <span class="number">8 </span>&amp;&amp; big_digit::BITS % bits != <span class="number">0</span>);
<span class="macro">debug_assert!</span>(v.iter().all(|<span class="kw-2">&amp;</span>c| BigDigit::from(c) &lt; (<span class="number">1 </span>&lt;&lt; bits)));
<span class="kw">let </span>total_bits = (v.len() <span class="kw">as </span>u64).saturating_mul(bits.into());
<span class="kw">let </span>big_digits = Integer::div_ceil(<span class="kw-2">&amp;</span>total_bits, <span class="kw-2">&amp;</span>big_digit::BITS.into())
.to_usize()
.unwrap_or(core::usize::MAX);
<span class="kw">let </span><span class="kw-2">mut </span>data = Vec::with_capacity(big_digits);
<span class="kw">let </span><span class="kw-2">mut </span>d = <span class="number">0</span>;
<span class="kw">let </span><span class="kw-2">mut </span>dbits = <span class="number">0</span>; <span class="comment">// number of bits we currently have in d
// walk v accumululating bits in d; whenever we accumulate big_digit::BITS in d, spit out a
// big_digit:
</span><span class="kw">for </span><span class="kw-2">&amp;</span>c <span class="kw">in </span>v {
d |= BigDigit::from(c) &lt;&lt; dbits;
dbits += bits;
<span class="kw">if </span>dbits &gt;= big_digit::BITS {
data.push(d);
dbits -= big_digit::BITS;
<span class="comment">// if dbits was &gt; big_digit::BITS, we dropped some of the bits in c (they couldn&#39;t fit
// in d) - grab the bits we lost here:
</span>d = BigDigit::from(c) &gt;&gt; (bits - dbits);
}
}
<span class="kw">if </span>dbits &gt; <span class="number">0 </span>{
<span class="macro">debug_assert!</span>(dbits &lt; big_digit::BITS);
data.push(d <span class="kw">as </span>BigDigit);
}
biguint_from_vec(data)
}
<span class="comment">// Read little-endian radix digits
</span><span class="kw">fn </span>from_radix_digits_be(v: <span class="kw-2">&amp;</span>[u8], radix: u32) -&gt; BigUint {
<span class="macro">debug_assert!</span>(!v.is_empty() &amp;&amp; !radix.is_power_of_two());
<span class="macro">debug_assert!</span>(v.iter().all(|<span class="kw-2">&amp;</span>c| u32::from(c) &lt; radix));
<span class="attribute">#[cfg(feature = <span class="string">&quot;std&quot;</span>)]
</span><span class="kw">let </span>radix_log2 = f64::from(radix).log2();
<span class="attribute">#[cfg(not(feature = <span class="string">&quot;std&quot;</span>))]
</span><span class="kw">let </span>radix_log2 = ilog2(radix.next_power_of_two()) <span class="kw">as </span>f64;
<span class="comment">// Estimate how big the result will be, so we can pre-allocate it.
</span><span class="kw">let </span>bits = radix_log2 * v.len() <span class="kw">as </span>f64;
<span class="kw">let </span>big_digits = (bits / big_digit::BITS <span class="kw">as </span>f64).ceil();
<span class="kw">let </span><span class="kw-2">mut </span>data = Vec::with_capacity(big_digits.to_usize().unwrap_or(<span class="number">0</span>));
<span class="kw">let </span>(base, power) = get_radix_base(radix, big_digit::BITS);
<span class="kw">let </span>radix = radix <span class="kw">as </span>BigDigit;
<span class="kw">let </span>r = v.len() % power;
<span class="kw">let </span>i = <span class="kw">if </span>r == <span class="number">0 </span>{ power } <span class="kw">else </span>{ r };
<span class="kw">let </span>(head, tail) = v.split_at(i);
<span class="kw">let </span>first = head
.iter()
.fold(<span class="number">0</span>, |acc, <span class="kw-2">&amp;</span>d| acc * radix + BigDigit::from(d));
data.push(first);
<span class="macro">debug_assert!</span>(tail.len() % power == <span class="number">0</span>);
<span class="kw">for </span>chunk <span class="kw">in </span>tail.chunks(power) {
<span class="kw">if </span>data.last() != <span class="prelude-val">Some</span>(<span class="kw-2">&amp;</span><span class="number">0</span>) {
data.push(<span class="number">0</span>);
}
<span class="kw">let </span><span class="kw-2">mut </span>carry = <span class="number">0</span>;
<span class="kw">for </span>d <span class="kw">in </span>data.iter_mut() {
<span class="kw-2">*</span>d = mac_with_carry(<span class="number">0</span>, <span class="kw-2">*</span>d, base, <span class="kw-2">&amp;mut </span>carry);
}
<span class="macro">debug_assert!</span>(carry == <span class="number">0</span>);
<span class="kw">let </span>n = chunk
.iter()
.fold(<span class="number">0</span>, |acc, <span class="kw-2">&amp;</span>d| acc * radix + BigDigit::from(d));
add2(<span class="kw-2">&amp;mut </span>data, <span class="kw-2">&amp;</span>[n]);
}
biguint_from_vec(data)
}
<span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>from_radix_be(buf: <span class="kw-2">&amp;</span>[u8], radix: u32) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="macro">assert!</span>(
<span class="number">2 </span>&lt;= radix &amp;&amp; radix &lt;= <span class="number">256</span>,
<span class="string">&quot;The radix must be within 2...256&quot;
</span>);
<span class="kw">if </span>buf.is_empty() {
<span class="kw">return </span><span class="prelude-val">Some</span>(Zero::zero());
}
<span class="kw">if </span>radix != <span class="number">256 </span>&amp;&amp; buf.iter().any(|<span class="kw-2">&amp;</span>b| b &gt;= radix <span class="kw">as </span>u8) {
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="kw">let </span>res = <span class="kw">if </span>radix.is_power_of_two() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of multiplication
</span><span class="kw">let </span>bits = ilog2(radix);
<span class="kw">let </span><span class="kw-2">mut </span>v = Vec::from(buf);
v.reverse();
<span class="kw">if </span>big_digit::BITS % bits == <span class="number">0 </span>{
from_bitwise_digits_le(<span class="kw-2">&amp;</span>v, bits)
} <span class="kw">else </span>{
from_inexact_bitwise_digits_le(<span class="kw-2">&amp;</span>v, bits)
}
} <span class="kw">else </span>{
from_radix_digits_be(buf, radix)
};
<span class="prelude-val">Some</span>(res)
}
<span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>from_radix_le(buf: <span class="kw-2">&amp;</span>[u8], radix: u32) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="macro">assert!</span>(
<span class="number">2 </span>&lt;= radix &amp;&amp; radix &lt;= <span class="number">256</span>,
<span class="string">&quot;The radix must be within 2...256&quot;
</span>);
<span class="kw">if </span>buf.is_empty() {
<span class="kw">return </span><span class="prelude-val">Some</span>(Zero::zero());
}
<span class="kw">if </span>radix != <span class="number">256 </span>&amp;&amp; buf.iter().any(|<span class="kw-2">&amp;</span>b| b &gt;= radix <span class="kw">as </span>u8) {
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="kw">let </span>res = <span class="kw">if </span>radix.is_power_of_two() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of multiplication
</span><span class="kw">let </span>bits = ilog2(radix);
<span class="kw">if </span>big_digit::BITS % bits == <span class="number">0 </span>{
from_bitwise_digits_le(buf, bits)
} <span class="kw">else </span>{
from_inexact_bitwise_digits_le(buf, bits)
}
} <span class="kw">else </span>{
<span class="kw">let </span><span class="kw-2">mut </span>v = Vec::from(buf);
v.reverse();
from_radix_digits_be(<span class="kw-2">&amp;</span>v, radix)
};
<span class="prelude-val">Some</span>(res)
}
<span class="kw">impl </span>Num <span class="kw">for </span>BigUint {
<span class="kw">type </span>FromStrRadixErr = ParseBigIntError;
<span class="doccomment">/// Creates and initializes a `BigUint`.
</span><span class="kw">fn </span>from_str_radix(s: <span class="kw-2">&amp;</span>str, radix: u32) -&gt; <span class="prelude-ty">Result</span>&lt;BigUint, ParseBigIntError&gt; {
<span class="macro">assert!</span>(<span class="number">2 </span>&lt;= radix &amp;&amp; radix &lt;= <span class="number">36</span>, <span class="string">&quot;The radix must be within 2...36&quot;</span>);
<span class="kw">let </span><span class="kw-2">mut </span>s = s;
<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
}
}
<span class="kw">if </span>s.is_empty() {
<span class="kw">return </span><span class="prelude-val">Err</span>(ParseBigIntError::empty());
}
<span class="kw">if </span>s.starts_with(<span class="string">&#39;_&#39;</span>) {
<span class="comment">// Must lead with a real digit!
</span><span class="kw">return </span><span class="prelude-val">Err</span>(ParseBigIntError::invalid());
}
<span class="comment">// First normalize all characters to plain digit values
</span><span class="kw">let </span><span class="kw-2">mut </span>v = Vec::with_capacity(s.len());
<span class="kw">for </span>b <span class="kw">in </span>s.bytes() {
<span class="kw">let </span>d = <span class="kw">match </span>b {
<span class="string">b&#39;0&#39;</span>..=<span class="string">b&#39;9&#39; </span>=&gt; b - <span class="string">b&#39;0&#39;</span>,
<span class="string">b&#39;a&#39;</span>..=<span class="string">b&#39;z&#39; </span>=&gt; b - <span class="string">b&#39;a&#39; </span>+ <span class="number">10</span>,
<span class="string">b&#39;A&#39;</span>..=<span class="string">b&#39;Z&#39; </span>=&gt; b - <span class="string">b&#39;A&#39; </span>+ <span class="number">10</span>,
<span class="string">b&#39;_&#39; </span>=&gt; <span class="kw">continue</span>,
<span class="kw">_ </span>=&gt; core::u8::MAX,
};
<span class="kw">if </span>d &lt; radix <span class="kw">as </span>u8 {
v.push(d);
} <span class="kw">else </span>{
<span class="kw">return </span><span class="prelude-val">Err</span>(ParseBigIntError::invalid());
}
}
<span class="kw">let </span>res = <span class="kw">if </span>radix.is_power_of_two() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of multiplication
</span><span class="kw">let </span>bits = ilog2(radix);
v.reverse();
<span class="kw">if </span>big_digit::BITS % bits == <span class="number">0 </span>{
from_bitwise_digits_le(<span class="kw-2">&amp;</span>v, bits)
} <span class="kw">else </span>{
from_inexact_bitwise_digits_le(<span class="kw-2">&amp;</span>v, bits)
}
} <span class="kw">else </span>{
from_radix_digits_be(<span class="kw-2">&amp;</span>v, radix)
};
<span class="prelude-val">Ok</span>(res)
}
}
<span class="kw">fn </span>high_bits_to_u64(v: <span class="kw-2">&amp;</span>BigUint) -&gt; u64 {
<span class="kw">match </span>v.data.len() {
<span class="number">0 </span>=&gt; <span class="number">0</span>,
<span class="number">1 </span>=&gt; {
<span class="comment">// XXX Conversion is useless if already 64-bit.
</span><span class="attribute">#[allow(clippy::useless_conversion)]
</span><span class="kw">let </span>v0 = u64::from(v.data[<span class="number">0</span>]);
v0
}
<span class="kw">_ </span>=&gt; {
<span class="kw">let </span><span class="kw-2">mut </span>bits = v.bits();
<span class="kw">let </span><span class="kw-2">mut </span>ret = <span class="number">0u64</span>;
<span class="kw">let </span><span class="kw-2">mut </span>ret_bits = <span class="number">0</span>;
<span class="kw">for </span>d <span class="kw">in </span>v.data.iter().rev() {
<span class="kw">let </span>digit_bits = (bits - <span class="number">1</span>) % u64::from(big_digit::BITS) + <span class="number">1</span>;
<span class="kw">let </span>bits_want = Ord::min(<span class="number">64 </span>- ret_bits, digit_bits);
<span class="kw">if </span>bits_want != <span class="number">64 </span>{
ret &lt;&lt;= bits_want;
}
<span class="comment">// XXX Conversion is useless if already 64-bit.
</span><span class="attribute">#[allow(clippy::useless_conversion)]
</span><span class="kw">let </span>d0 = u64::from(<span class="kw-2">*</span>d) &gt;&gt; (digit_bits - bits_want);
ret |= d0;
ret_bits += bits_want;
bits -= bits_want;
<span class="kw">if </span>ret_bits == <span class="number">64 </span>{
<span class="kw">break</span>;
}
}
ret
}
}
}
<span class="kw">impl </span>ToPrimitive <span class="kw">for </span>BigUint {
<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="self">self</span>.to_u64().as_ref().and_then(u64::to_i64)
}
<span class="attribute">#[inline]
</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="self">self</span>.to_u128().as_ref().and_then(u128::to_i128)
}
<span class="attribute">#[allow(clippy::useless_conversion)]
#[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">let </span><span class="kw-2">mut </span>ret: u64 = <span class="number">0</span>;
<span class="kw">let </span><span class="kw-2">mut </span>bits = <span class="number">0</span>;
<span class="kw">for </span>i <span class="kw">in </span><span class="self">self</span>.data.iter() {
<span class="kw">if </span>bits &gt;= <span class="number">64 </span>{
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="comment">// XXX Conversion is useless if already 64-bit.
</span>ret += u64::from(<span class="kw-2">*</span>i) &lt;&lt; bits;
bits += big_digit::BITS;
}
<span class="prelude-val">Some</span>(ret)
}
<span class="attribute">#[inline]
</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">let </span><span class="kw-2">mut </span>ret: u128 = <span class="number">0</span>;
<span class="kw">let </span><span class="kw-2">mut </span>bits = <span class="number">0</span>;
<span class="kw">for </span>i <span class="kw">in </span><span class="self">self</span>.data.iter() {
<span class="kw">if </span>bits &gt;= <span class="number">128 </span>{
<span class="kw">return </span><span class="prelude-val">None</span>;
}
ret |= u128::from(<span class="kw-2">*</span>i) &lt;&lt; bits;
bits += big_digit::BITS;
}
<span class="prelude-val">Some</span>(ret)
}
<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="kw">let </span>mantissa = high_bits_to_u64(<span class="self">self</span>);
<span class="kw">let </span>exponent = <span class="self">self</span>.bits() - u64::from(fls(mantissa));
<span class="kw">if </span>exponent &gt; core::f32::MAX_EXP <span class="kw">as </span>u64 {
<span class="prelude-val">Some</span>(core::f32::INFINITY)
} <span class="kw">else </span>{
<span class="prelude-val">Some</span>((mantissa <span class="kw">as </span>f32) * <span class="number">2.0f32</span>.powi(exponent <span class="kw">as </span>i32))
}
}
<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="kw">let </span>mantissa = high_bits_to_u64(<span class="self">self</span>);
<span class="kw">let </span>exponent = <span class="self">self</span>.bits() - u64::from(fls(mantissa));
<span class="kw">if </span>exponent &gt; core::f64::MAX_EXP <span class="kw">as </span>u64 {
<span class="prelude-val">Some</span>(core::f64::INFINITY)
} <span class="kw">else </span>{
<span class="prelude-val">Some</span>((mantissa <span class="kw">as </span>f64) * <span class="number">2.0f64</span>.powi(exponent <span class="kw">as </span>i32))
}
}
}
<span class="macro">macro_rules! </span>impl_try_from_biguint {
(<span class="macro-nonterminal">$T</span>:ty, <span class="macro-nonterminal">$to_ty</span>:path) =&gt; {
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">impl </span>TryFrom&lt;<span class="kw-2">&amp;</span>BigUint&gt; <span class="kw">for </span><span class="macro-nonterminal">$T </span>{
<span class="kw">type </span>Error = TryFromBigIntError&lt;()&gt;;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>try_from(value: <span class="kw-2">&amp;</span>BigUint) -&gt; <span class="prelude-ty">Result</span>&lt;<span class="macro-nonterminal">$T</span>, TryFromBigIntError&lt;()&gt;&gt; {
<span class="macro-nonterminal">$to_ty</span>(value).ok_or(TryFromBigIntError::new(()))
}
}
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">impl </span>TryFrom&lt;BigUint&gt; <span class="kw">for </span><span class="macro-nonterminal">$T </span>{
<span class="kw">type </span>Error = TryFromBigIntError&lt;BigUint&gt;;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>try_from(value: BigUint) -&gt; <span class="prelude-ty">Result</span>&lt;<span class="macro-nonterminal">$T</span>, TryFromBigIntError&lt;BigUint&gt;&gt; {
&lt;<span class="macro-nonterminal">$T</span>&gt;::try_from(<span class="kw-2">&amp;</span>value).map_err(|<span class="kw">_</span>| TryFromBigIntError::new(value))
}
}
};
}
<span class="macro">impl_try_from_biguint!</span>(u8, ToPrimitive::to_u8);
<span class="macro">impl_try_from_biguint!</span>(u16, ToPrimitive::to_u16);
<span class="macro">impl_try_from_biguint!</span>(u32, ToPrimitive::to_u32);
<span class="macro">impl_try_from_biguint!</span>(u64, ToPrimitive::to_u64);
<span class="macro">impl_try_from_biguint!</span>(usize, ToPrimitive::to_usize);
<span class="macro">impl_try_from_biguint!</span>(u128, ToPrimitive::to_u128);
<span class="macro">impl_try_from_biguint!</span>(i8, ToPrimitive::to_i8);
<span class="macro">impl_try_from_biguint!</span>(i16, ToPrimitive::to_i16);
<span class="macro">impl_try_from_biguint!</span>(i32, ToPrimitive::to_i32);
<span class="macro">impl_try_from_biguint!</span>(i64, ToPrimitive::to_i64);
<span class="macro">impl_try_from_biguint!</span>(isize, ToPrimitive::to_isize);
<span class="macro">impl_try_from_biguint!</span>(i128, ToPrimitive::to_i128);
<span class="kw">impl </span>FromPrimitive <span class="kw">for </span>BigUint {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_i64(n: i64) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="kw">if </span>n &gt;= <span class="number">0 </span>{
<span class="prelude-val">Some</span>(BigUint::from(n <span class="kw">as </span>u64))
} <span class="kw">else </span>{
<span class="prelude-val">None
</span>}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_i128(n: i128) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="kw">if </span>n &gt;= <span class="number">0 </span>{
<span class="prelude-val">Some</span>(BigUint::from(n <span class="kw">as </span>u128))
} <span class="kw">else </span>{
<span class="prelude-val">None
</span>}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_u64(n: u64) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="prelude-val">Some</span>(BigUint::from(n))
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_u128(n: u128) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="prelude-val">Some</span>(BigUint::from(n))
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from_f64(<span class="kw-2">mut </span>n: f64) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="comment">// handle NAN, INFINITY, NEG_INFINITY
</span><span class="kw">if </span>!n.is_finite() {
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="comment">// match the rounding of casting from float to int
</span>n = n.trunc();
<span class="comment">// handle 0.x, -0.x
</span><span class="kw">if </span>n.is_zero() {
<span class="kw">return </span><span class="prelude-val">Some</span>(BigUint::zero());
}
<span class="kw">let </span>(mantissa, exponent, sign) = FloatCore::integer_decode(n);
<span class="kw">if </span>sign == -<span class="number">1 </span>{
<span class="kw">return </span><span class="prelude-val">None</span>;
}
<span class="kw">let </span><span class="kw-2">mut </span>ret = BigUint::from(mantissa);
<span class="kw">match </span>exponent.cmp(<span class="kw-2">&amp;</span><span class="number">0</span>) {
Greater =&gt; ret &lt;&lt;= exponent <span class="kw">as </span>usize,
Equal =&gt; {}
Less =&gt; ret &gt;&gt;= (-exponent) <span class="kw">as </span>usize,
}
<span class="prelude-val">Some</span>(ret)
}
}
<span class="kw">impl </span>From&lt;u64&gt; <span class="kw">for </span>BigUint {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(<span class="kw-2">mut </span>n: u64) -&gt; <span class="self">Self </span>{
<span class="kw">let </span><span class="kw-2">mut </span>ret: BigUint = Zero::zero();
<span class="kw">while </span>n != <span class="number">0 </span>{
ret.data.push(n <span class="kw">as </span>BigDigit);
<span class="comment">// don&#39;t overflow if BITS is 64:
</span>n = (n &gt;&gt; <span class="number">1</span>) &gt;&gt; (big_digit::BITS - <span class="number">1</span>);
}
ret
}
}
<span class="kw">impl </span>From&lt;u128&gt; <span class="kw">for </span>BigUint {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(<span class="kw-2">mut </span>n: u128) -&gt; <span class="self">Self </span>{
<span class="kw">let </span><span class="kw-2">mut </span>ret: BigUint = Zero::zero();
<span class="kw">while </span>n != <span class="number">0 </span>{
ret.data.push(n <span class="kw">as </span>BigDigit);
n &gt;&gt;= big_digit::BITS;
}
ret
}
}
<span class="macro">macro_rules! </span>impl_biguint_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>BigUint {
<span class="attribute">#[inline]
</span><span class="kw">fn </span>from(n: <span class="macro-nonterminal">$T</span>) -&gt; <span class="self">Self </span>{
BigUint::from(n <span class="kw">as </span>u64)
}
}
};
}
<span class="macro">impl_biguint_from_uint!</span>(u8);
<span class="macro">impl_biguint_from_uint!</span>(u16);
<span class="macro">impl_biguint_from_uint!</span>(u32);
<span class="macro">impl_biguint_from_uint!</span>(usize);
<span class="macro">macro_rules! </span>impl_biguint_try_from_int {
(<span class="macro-nonterminal">$T</span>:ty, <span class="macro-nonterminal">$from_ty</span>:path) =&gt; {
<span class="attribute">#[cfg(has_try_from)]
</span><span class="kw">impl </span>TryFrom&lt;<span class="macro-nonterminal">$T</span>&gt; <span class="kw">for </span>BigUint {
<span class="kw">type </span>Error = TryFromBigIntError&lt;()&gt;;
<span class="attribute">#[inline]
</span><span class="kw">fn </span>try_from(value: <span class="macro-nonterminal">$T</span>) -&gt; <span class="prelude-ty">Result</span>&lt;BigUint, TryFromBigIntError&lt;()&gt;&gt; {
<span class="macro-nonterminal">$from_ty</span>(value).ok_or(TryFromBigIntError::new(()))
}
}
};
}
<span class="macro">impl_biguint_try_from_int!</span>(i8, FromPrimitive::from_i8);
<span class="macro">impl_biguint_try_from_int!</span>(i16, FromPrimitive::from_i16);
<span class="macro">impl_biguint_try_from_int!</span>(i32, FromPrimitive::from_i32);
<span class="macro">impl_biguint_try_from_int!</span>(i64, FromPrimitive::from_i64);
<span class="macro">impl_biguint_try_from_int!</span>(isize, FromPrimitive::from_isize);
<span class="macro">impl_biguint_try_from_int!</span>(i128, FromPrimitive::from_i128);
<span class="kw">impl </span>ToBigUint <span class="kw">for </span>BigUint {
<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="prelude-val">Some</span>(<span class="self">self</span>.clone())
}
}
<span class="macro">macro_rules! </span>impl_to_biguint {
(<span class="macro-nonterminal">$T</span>:ty, <span class="macro-nonterminal">$from_ty</span>:path) =&gt; {
<span class="kw">impl </span>ToBigUint <span class="kw">for </span><span class="macro-nonterminal">$T </span>{
<span class="attribute">#[inline]
</span><span class="kw">fn </span>to_biguint(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span>&lt;BigUint&gt; {
<span class="macro-nonterminal">$from_ty</span>(<span class="kw-2">*</span><span class="self">self</span>)
}
}
};
}
<span class="macro">impl_to_biguint!</span>(isize, FromPrimitive::from_isize);
<span class="macro">impl_to_biguint!</span>(i8, FromPrimitive::from_i8);
<span class="macro">impl_to_biguint!</span>(i16, FromPrimitive::from_i16);
<span class="macro">impl_to_biguint!</span>(i32, FromPrimitive::from_i32);
<span class="macro">impl_to_biguint!</span>(i64, FromPrimitive::from_i64);
<span class="macro">impl_to_biguint!</span>(i128, FromPrimitive::from_i128);
<span class="macro">impl_to_biguint!</span>(usize, FromPrimitive::from_usize);
<span class="macro">impl_to_biguint!</span>(u8, FromPrimitive::from_u8);
<span class="macro">impl_to_biguint!</span>(u16, FromPrimitive::from_u16);
<span class="macro">impl_to_biguint!</span>(u32, FromPrimitive::from_u32);
<span class="macro">impl_to_biguint!</span>(u64, FromPrimitive::from_u64);
<span class="macro">impl_to_biguint!</span>(u128, FromPrimitive::from_u128);
<span class="macro">impl_to_biguint!</span>(f32, FromPrimitive::from_f32);
<span class="macro">impl_to_biguint!</span>(f64, FromPrimitive::from_f64);
<span class="comment">// Extract bitwise digits that evenly divide BigDigit
</span><span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>to_bitwise_digits_le(u: <span class="kw-2">&amp;</span>BigUint, bits: u8) -&gt; Vec&lt;u8&gt; {
<span class="macro">debug_assert!</span>(!u.is_zero() &amp;&amp; bits &lt;= <span class="number">8 </span>&amp;&amp; big_digit::BITS % bits == <span class="number">0</span>);
<span class="kw">let </span>last_i = u.data.len() - <span class="number">1</span>;
<span class="kw">let </span>mask: BigDigit = (<span class="number">1 </span>&lt;&lt; bits) - <span class="number">1</span>;
<span class="kw">let </span>digits_per_big_digit = big_digit::BITS / bits;
<span class="kw">let </span>digits = Integer::div_ceil(<span class="kw-2">&amp;</span>u.bits(), <span class="kw-2">&amp;</span>u64::from(bits))
.to_usize()
.unwrap_or(core::usize::MAX);
<span class="kw">let </span><span class="kw-2">mut </span>res = Vec::with_capacity(digits);
<span class="kw">for </span><span class="kw-2">mut </span>r <span class="kw">in </span>u.data[..last_i].iter().cloned() {
<span class="kw">for _ in </span><span class="number">0</span>..digits_per_big_digit {
res.push((r &amp; mask) <span class="kw">as </span>u8);
r &gt;&gt;= bits;
}
}
<span class="kw">let </span><span class="kw-2">mut </span>r = u.data[last_i];
<span class="kw">while </span>r != <span class="number">0 </span>{
res.push((r &amp; mask) <span class="kw">as </span>u8);
r &gt;&gt;= bits;
}
res
}
<span class="comment">// Extract bitwise digits that don&#39;t evenly divide BigDigit
</span><span class="kw">fn </span>to_inexact_bitwise_digits_le(u: <span class="kw-2">&amp;</span>BigUint, bits: u8) -&gt; Vec&lt;u8&gt; {
<span class="macro">debug_assert!</span>(!u.is_zero() &amp;&amp; bits &lt;= <span class="number">8 </span>&amp;&amp; big_digit::BITS % bits != <span class="number">0</span>);
<span class="kw">let </span>mask: BigDigit = (<span class="number">1 </span>&lt;&lt; bits) - <span class="number">1</span>;
<span class="kw">let </span>digits = Integer::div_ceil(<span class="kw-2">&amp;</span>u.bits(), <span class="kw-2">&amp;</span>u64::from(bits))
.to_usize()
.unwrap_or(core::usize::MAX);
<span class="kw">let </span><span class="kw-2">mut </span>res = Vec::with_capacity(digits);
<span class="kw">let </span><span class="kw-2">mut </span>r = <span class="number">0</span>;
<span class="kw">let </span><span class="kw-2">mut </span>rbits = <span class="number">0</span>;
<span class="kw">for </span>c <span class="kw">in </span><span class="kw-2">&amp;</span>u.data {
r |= <span class="kw-2">*</span>c &lt;&lt; rbits;
rbits += big_digit::BITS;
<span class="kw">while </span>rbits &gt;= bits {
res.push((r &amp; mask) <span class="kw">as </span>u8);
r &gt;&gt;= bits;
<span class="comment">// r had more bits than it could fit - grab the bits we lost
</span><span class="kw">if </span>rbits &gt; big_digit::BITS {
r = <span class="kw-2">*</span>c &gt;&gt; (big_digit::BITS - (rbits - bits));
}
rbits -= bits;
}
}
<span class="kw">if </span>rbits != <span class="number">0 </span>{
res.push(r <span class="kw">as </span>u8);
}
<span class="kw">while let </span><span class="prelude-val">Some</span>(<span class="kw-2">&amp;</span><span class="number">0</span>) = res.last() {
res.pop();
}
res
}
<span class="comment">// Extract little-endian radix digits
</span><span class="attribute">#[inline(always)] </span><span class="comment">// forced inline to get const-prop for radix=10
</span><span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>to_radix_digits_le(u: <span class="kw-2">&amp;</span>BigUint, radix: u32) -&gt; Vec&lt;u8&gt; {
<span class="macro">debug_assert!</span>(!u.is_zero() &amp;&amp; !radix.is_power_of_two());
<span class="attribute">#[cfg(feature = <span class="string">&quot;std&quot;</span>)]
</span><span class="kw">let </span>radix_log2 = f64::from(radix).log2();
<span class="attribute">#[cfg(not(feature = <span class="string">&quot;std&quot;</span>))]
</span><span class="kw">let </span>radix_log2 = ilog2(radix) <span class="kw">as </span>f64;
<span class="comment">// Estimate how big the result will be, so we can pre-allocate it.
</span><span class="kw">let </span>radix_digits = ((u.bits() <span class="kw">as </span>f64) / radix_log2).ceil();
<span class="kw">let </span><span class="kw-2">mut </span>res = Vec::with_capacity(radix_digits.to_usize().unwrap_or(<span class="number">0</span>));
<span class="kw">let </span><span class="kw-2">mut </span>digits = u.clone();
<span class="kw">let </span>(base, power) = get_radix_base(radix, big_digit::HALF_BITS);
<span class="kw">let </span>radix = radix <span class="kw">as </span>BigDigit;
<span class="kw">while </span>digits.data.len() &gt; <span class="number">1 </span>{
<span class="kw">let </span>(q, <span class="kw-2">mut </span>r) = div_rem_digit(digits, base);
<span class="kw">for _ in </span><span class="number">0</span>..power {
res.push((r % radix) <span class="kw">as </span>u8);
r /= radix;
}
digits = q;
}
<span class="kw">let </span><span class="kw-2">mut </span>r = digits.data[<span class="number">0</span>];
<span class="kw">while </span>r != <span class="number">0 </span>{
res.push((r % radix) <span class="kw">as </span>u8);
r /= radix;
}
res
}
<span class="kw">pub</span>(<span class="kw">super</span>) <span class="kw">fn </span>to_radix_le(u: <span class="kw-2">&amp;</span>BigUint, radix: u32) -&gt; Vec&lt;u8&gt; {
<span class="kw">if </span>u.is_zero() {
<span class="macro">vec!</span>[<span class="number">0</span>]
} <span class="kw">else if </span>radix.is_power_of_two() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of division
</span><span class="kw">let </span>bits = ilog2(radix);
<span class="kw">if </span>big_digit::BITS % bits == <span class="number">0 </span>{
to_bitwise_digits_le(u, bits)
} <span class="kw">else </span>{
to_inexact_bitwise_digits_le(u, bits)
}
} <span class="kw">else if </span>radix == <span class="number">10 </span>{
<span class="comment">// 10 is so common that it&#39;s worth separating out for const-propagation.
// Optimizers can often turn constant division into a faster multiplication.
</span>to_radix_digits_le(u, <span class="number">10</span>)
} <span class="kw">else </span>{
to_radix_digits_le(u, radix)
}
}
<span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">fn </span>to_str_radix_reversed(u: <span class="kw-2">&amp;</span>BigUint, radix: u32) -&gt; Vec&lt;u8&gt; {
<span class="macro">assert!</span>(<span class="number">2 </span>&lt;= radix &amp;&amp; radix &lt;= <span class="number">36</span>, <span class="string">&quot;The radix must be within 2...36&quot;</span>);
<span class="kw">if </span>u.is_zero() {
<span class="kw">return </span><span class="macro">vec!</span>[<span class="string">b&#39;0&#39;</span>];
}
<span class="kw">let </span><span class="kw-2">mut </span>res = to_radix_le(u, radix);
<span class="comment">// Now convert everything to ASCII digits.
</span><span class="kw">for </span>r <span class="kw">in </span><span class="kw-2">&amp;mut </span>res {
<span class="macro">debug_assert!</span>(u32::from(<span class="kw-2">*</span>r) &lt; radix);
<span class="kw">if </span><span class="kw-2">*</span>r &lt; <span class="number">10 </span>{
<span class="kw-2">*</span>r += <span class="string">b&#39;0&#39;</span>;
} <span class="kw">else </span>{
<span class="kw-2">*</span>r += <span class="string">b&#39;a&#39; </span>- <span class="number">10</span>;
}
}
res
}
<span class="doccomment">/// Returns the greatest power of the radix for the given bit size
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>get_radix_base(radix: u32, bits: u8) -&gt; (BigDigit, usize) {
<span class="kw">mod </span>gen {
<span class="macro">include! </span>{ <span class="macro">concat!</span>(<span class="macro">env!</span>(<span class="string">&quot;OUT_DIR&quot;</span>), <span class="string">&quot;/radix_bases.rs&quot;</span>) }
}
<span class="macro">debug_assert!</span>(
<span class="number">2 </span>&lt;= radix &amp;&amp; radix &lt;= <span class="number">256</span>,
<span class="string">&quot;The radix must be within 2...256&quot;
</span>);
<span class="macro">debug_assert!</span>(!radix.is_power_of_two());
<span class="macro">debug_assert!</span>(bits &lt;= big_digit::BITS);
<span class="kw">match </span>bits {
<span class="number">16 </span>=&gt; {
<span class="kw">let </span>(base, power) = gen::BASES_16[radix <span class="kw">as </span>usize];
(base <span class="kw">as </span>BigDigit, power)
}
<span class="number">32 </span>=&gt; {
<span class="kw">let </span>(base, power) = gen::BASES_32[radix <span class="kw">as </span>usize];
(base <span class="kw">as </span>BigDigit, power)
}
<span class="number">64 </span>=&gt; {
<span class="kw">let </span>(base, power) = gen::BASES_64[radix <span class="kw">as </span>usize];
(base <span class="kw">as </span>BigDigit, power)
}
<span class="kw">_ </span>=&gt; <span class="macro">panic!</span>(<span class="string">&quot;Invalid bigdigit size&quot;</span>),
}
}
</code></pre></div>
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