<!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 to the Rust file `/home/mrh/.cargo/registry/src/github.com-1ecc6299db9ec823/num-bigint-0.1.44/src/biguint.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>biguint.rs.html -- source</title><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="../../favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc source"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">☰</div><a href='../../num_bigint/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><a id="settings-menu" href="../../settings.html"><img src="../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><pre class="line-numbers"><span id="1"> 1</span>
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<span id="2243">2243</span>
<span id="2244">2244</span>
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<span id="2247">2247</span>
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<span id="2250">2250</span>
<span id="2251">2251</span>
<span id="2252">2252</span>
<span id="2253">2253</span>
<span id="2254">2254</span>
<span id="2255">2255</span>
<span id="2256">2256</span>
<span id="2257">2257</span>
<span id="2258">2258</span>
<span id="2259">2259</span>
<span id="2260">2260</span>
<span id="2261">2261</span>
<span id="2262">2262</span>
<span id="2263">2263</span>
<span id="2264">2264</span>
<span id="2265">2265</span>
<span id="2266">2266</span>
<span id="2267">2267</span>
<span id="2268">2268</span>
<span id="2269">2269</span>
<span id="2270">2270</span>
<span id="2271">2271</span>
<span id="2272">2272</span>
<span id="2273">2273</span>
<span id="2274">2274</span>
<span id="2275">2275</span>
</pre><div class="example-wrap"><pre class="rust ">
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">borrow</span>::<span class="ident">Cow</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">default</span>::<span class="ident">Default</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">iter</span>::<span class="ident">repeat</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::{<span class="ident">Add</span>, <span class="ident">BitAnd</span>, <span class="ident">BitOr</span>, <span class="ident">BitXor</span>, <span class="ident">Div</span>, <span class="ident">Mul</span>, <span class="ident">Neg</span>, <span class="ident">Rem</span>, <span class="ident">Shl</span>, <span class="ident">Shr</span>, <span class="ident">Sub</span>,
<span class="ident">AddAssign</span>, <span class="ident">BitAndAssign</span>, <span class="ident">BitOrAssign</span>, <span class="ident">BitXorAssign</span>, <span class="ident">DivAssign</span>,
<span class="ident">MulAssign</span>, <span class="ident">RemAssign</span>, <span class="ident">ShlAssign</span>, <span class="ident">ShrAssign</span>, <span class="ident">SubAssign</span>};
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">str</span>::{<span class="self">self</span>, <span class="ident">FromStr</span>};
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">fmt</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">cmp</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">mem</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">cmp</span>::<span class="ident">Ordering</span>::{<span class="self">self</span>, <span class="ident">Less</span>, <span class="ident">Greater</span>, <span class="ident">Equal</span>};
<span class="kw">use</span> <span class="ident">std</span>::{<span class="ident">f32</span>, <span class="ident">f64</span>};
<span class="kw">use</span> <span class="ident">std</span>::{<span class="ident">u8</span>, <span class="ident">u64</span>};
<span class="attribute">#[<span class="ident">allow</span>(<span class="ident">unused_imports</span>)]</span>
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ascii</span>::<span class="ident">AsciiExt</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>)]</span>
<span class="kw">use</span> <span class="ident">serde</span>;
<span class="kw">use</span> <span class="ident">integer</span>::<span class="ident">Integer</span>;
<span class="kw">use</span> <span class="ident">traits</span>::{<span class="ident">ToPrimitive</span>, <span class="ident">FromPrimitive</span>, <span class="ident">Float</span>, <span class="ident">Num</span>, <span class="ident">Unsigned</span>, <span class="ident">CheckedAdd</span>, <span class="ident">CheckedSub</span>, <span class="ident">CheckedMul</span>,
<span class="ident">CheckedDiv</span>, <span class="ident">Zero</span>, <span class="ident">One</span>};
<span class="attribute">#[<span class="ident">path</span> <span class="op">=</span> <span class="string">"algorithms.rs"</span>]</span>
<span class="kw">mod</span> <span class="ident">algorithms</span>;
<span class="attribute">#[<span class="ident">path</span> <span class="op">=</span> <span class="string">"monty.rs"</span>]</span>
<span class="kw">mod</span> <span class="ident">monty</span>;
<span class="kw">pub</span> <span class="kw">use</span> <span class="self">self</span>::<span class="ident">algorithms</span>::<span class="ident">big_digit</span>;
<span class="kw">pub</span> <span class="kw">use</span> <span class="self">self</span>::<span class="ident">big_digit</span>::{<span class="ident">BigDigit</span>, <span class="ident">DoubleBigDigit</span>, <span class="ident">ZERO_BIG_DIGIT</span>};
<span class="kw">use</span> <span class="self">self</span>::<span class="ident">algorithms</span>::{<span class="ident">mac_with_carry</span>, <span class="ident">mul3</span>, <span class="ident">scalar_mul</span>, <span class="ident">div_rem</span>, <span class="ident">div_rem_digit</span>};
<span class="kw">use</span> <span class="self">self</span>::<span class="ident">algorithms</span>::{<span class="ident">__add2</span>, <span class="ident">add2</span>, <span class="ident">sub2</span>, <span class="ident">sub2rev</span>};
<span class="kw">use</span> <span class="self">self</span>::<span class="ident">algorithms</span>::{<span class="ident">biguint_shl</span>, <span class="ident">biguint_shr</span>};
<span class="kw">use</span> <span class="self">self</span>::<span class="ident">algorithms</span>::{<span class="ident">cmp_slice</span>, <span class="ident">fls</span>, <span class="ident">ilog2</span>};
<span class="kw">use</span> <span class="self">self</span>::<span class="ident">monty</span>::<span class="ident">monty_modpow</span>;
<span class="kw">use</span> <span class="ident">UsizePromotion</span>;
<span class="kw">use</span> <span class="ident">ParseBigIntError</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="attribute">#[<span class="ident">path</span> <span class="op">=</span> <span class="string">"tests/biguint.rs"</span>]</span>
<span class="kw">mod</span> <span class="ident">biguint_tests</span>;
<span class="doccomment">/// A big unsigned integer type.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// A `BigUint`-typed value `BigUint { data: vec!(a, b, c) }` represents a number</span>
<span class="doccomment">/// `(a + b * big_digit::BASE + c * big_digit::BASE^2)`.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Debug</span>, <span class="ident">Hash</span>)]</span>
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rustc-serialize"</span>, <span class="ident">derive</span>(<span class="ident">RustcEncodable</span>, <span class="ident">RustcDecodable</span>))]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">BigUint</span> {
<span class="ident">data</span>: <span class="ident">Vec</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span>,
}
<span class="kw">impl</span> <span class="ident">PartialEq</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="kw">match</span> <span class="self">self</span>.<span class="ident">cmp</span>(<span class="ident">other</span>) {
<span class="ident">Equal</span> <span class="op">=</span><span class="op">></span> <span class="bool-val">true</span>,
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> <span class="bool-val">false</span>,
}
}
}
<span class="kw">impl</span> <span class="ident">Eq</span> <span class="kw">for</span> <span class="ident">BigUint</span> {}
<span class="kw">impl</span> <span class="ident">PartialOrd</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ordering</span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">cmp</span>(<span class="ident">other</span>))
}
}
<span class="kw">impl</span> <span class="ident">Ord</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ordering</span> {
<span class="ident">cmp_slice</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">data</span>[..])
}
}
<span class="kw">impl</span> <span class="ident">Default</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">default</span>() <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">Zero</span>::<span class="ident">zero</span>()
}
}
<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">Display</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="ident">f</span>.<span class="ident">pad_integral</span>(<span class="bool-val">true</span>, <span class="string">""</span>, <span class="kw-2">&</span><span class="self">self</span>.<span class="ident">to_str_radix</span>(<span class="number">10</span>))
}
}
<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">LowerHex</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="ident">f</span>.<span class="ident">pad_integral</span>(<span class="bool-val">true</span>, <span class="string">"0x"</span>, <span class="kw-2">&</span><span class="self">self</span>.<span class="ident">to_str_radix</span>(<span class="number">16</span>))
}
}
<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">UpperHex</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="ident">f</span>.<span class="ident">pad_integral</span>(<span class="bool-val">true</span>, <span class="string">"0x"</span>, <span class="kw-2">&</span><span class="self">self</span>.<span class="ident">to_str_radix</span>(<span class="number">16</span>).<span class="ident">to_ascii_uppercase</span>())
}
}
<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">Binary</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="ident">f</span>.<span class="ident">pad_integral</span>(<span class="bool-val">true</span>, <span class="string">"0b"</span>, <span class="kw-2">&</span><span class="self">self</span>.<span class="ident">to_str_radix</span>(<span class="number">2</span>))
}
}
<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">Octal</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="ident">f</span>.<span class="ident">pad_integral</span>(<span class="bool-val">true</span>, <span class="string">"0o"</span>, <span class="kw-2">&</span><span class="self">self</span>.<span class="ident">to_str_radix</span>(<span class="number">8</span>))
}
}
<span class="kw">impl</span> <span class="ident">FromStr</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="prelude-val">Err</span> <span class="op">=</span> <span class="ident">ParseBigIntError</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from_str</span>(<span class="ident">s</span>: <span class="kw-2">&</span><span class="ident">str</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">BigUint</span>, <span class="ident">ParseBigIntError</span><span class="op">></span> {
<span class="ident">BigUint</span>::<span class="ident">from_str_radix</span>(<span class="ident">s</span>, <span class="number">10</span>)
}
}
<span class="comment">// Convert from a power of two radix (bits == ilog2(radix)) where bits evenly divides</span>
<span class="comment">// BigDigit::BITS</span>
<span class="kw">fn</span> <span class="ident">from_bitwise_digits_le</span>(<span class="ident">v</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>], <span class="ident">bits</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">v</span>.<span class="ident">is_empty</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="ident">bits</span> <span class="op"><</span><span class="op">=</span> <span class="number">8</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span>);
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">v</span>.<span class="ident">iter</span>().<span class="ident">all</span>(<span class="op">|</span><span class="kw-2">&</span><span class="ident">c</span><span class="op">|</span> (<span class="ident">c</span> <span class="kw">as</span> <span class="ident">BigDigit</span>) <span class="op"><</span> (<span class="number">1</span> <span class="op"><</span><span class="op"><</span> <span class="ident">bits</span>)));
<span class="kw">let</span> <span class="ident">digits_per_big_digit</span> <span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">/</span> <span class="ident">bits</span>;
<span class="kw">let</span> <span class="ident">data</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">chunks</span>(<span class="ident">digits_per_big_digit</span>)
.<span class="ident">map</span>(<span class="op">|</span><span class="ident">chunk</span><span class="op">|</span> {
<span class="ident">chunk</span>.<span class="ident">iter</span>().<span class="ident">rev</span>().<span class="ident">fold</span>(<span class="number">0</span>, <span class="op">|</span><span class="ident">acc</span>, <span class="kw-2">&</span><span class="ident">c</span><span class="op">|</span> (<span class="ident">acc</span> <span class="op"><</span><span class="op"><</span> <span class="ident">bits</span>) <span class="op">|</span> <span class="ident">c</span> <span class="kw">as</span> <span class="ident">BigDigit</span>)
})
.<span class="ident">collect</span>();
<span class="ident">BigUint</span>::<span class="ident">new</span>(<span class="ident">data</span>)
}
<span class="comment">// Convert from a power of two radix (bits == ilog2(radix)) where bits doesn't evenly divide</span>
<span class="comment">// BigDigit::BITS</span>
<span class="kw">fn</span> <span class="ident">from_inexact_bitwise_digits_le</span>(<span class="ident">v</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>], <span class="ident">bits</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">v</span>.<span class="ident">is_empty</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="ident">bits</span> <span class="op"><</span><span class="op">=</span> <span class="number">8</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span>);
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">v</span>.<span class="ident">iter</span>().<span class="ident">all</span>(<span class="op">|</span><span class="kw-2">&</span><span class="ident">c</span><span class="op">|</span> (<span class="ident">c</span> <span class="kw">as</span> <span class="ident">BigDigit</span>) <span class="op"><</span> (<span class="number">1</span> <span class="op"><</span><span class="op"><</span> <span class="ident">bits</span>)));
<span class="kw">let</span> <span class="ident">big_digits</span> <span class="op">=</span> (<span class="ident">v</span>.<span class="ident">len</span>() <span class="op">*</span> <span class="ident">bits</span> <span class="op">+</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">-</span> <span class="number">1</span>) <span class="op">/</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">data</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">big_digits</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">d</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">dbits</span> <span class="op">=</span> <span class="number">0</span>; <span class="comment">// number of bits we currently have in d</span>
<span class="comment">// walk v accumululating bits in d; whenever we accumulate big_digit::BITS in d, spit out a</span>
<span class="comment">// big_digit:</span>
<span class="kw">for</span> <span class="kw-2">&</span><span class="ident">c</span> <span class="kw">in</span> <span class="ident">v</span> {
<span class="ident">d</span> <span class="op">|</span><span class="op">=</span> (<span class="ident">c</span> <span class="kw">as</span> <span class="ident">BigDigit</span>) <span class="op"><</span><span class="op"><</span> <span class="ident">dbits</span>;
<span class="ident">dbits</span> <span class="op">+</span><span class="op">=</span> <span class="ident">bits</span>;
<span class="kw">if</span> <span class="ident">dbits</span> <span class="op">></span><span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> {
<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">d</span>);
<span class="ident">dbits</span> <span class="op">-</span><span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span>;
<span class="comment">// if dbits was > big_digit::BITS, we dropped some of the bits in c (they couldn't fit</span>
<span class="comment">// in d) - grab the bits we lost here:</span>
<span class="ident">d</span> <span class="op">=</span> (<span class="ident">c</span> <span class="kw">as</span> <span class="ident">BigDigit</span>) <span class="op">></span><span class="op">></span> (<span class="ident">bits</span> <span class="op">-</span> <span class="ident">dbits</span>);
}
}
<span class="kw">if</span> <span class="ident">dbits</span> <span class="op">></span> <span class="number">0</span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">dbits</span> <span class="op"><</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span>);
<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">d</span> <span class="kw">as</span> <span class="ident">BigDigit</span>);
}
<span class="ident">BigUint</span>::<span class="ident">new</span>(<span class="ident">data</span>)
}
<span class="comment">// Read little-endian radix digits</span>
<span class="kw">fn</span> <span class="ident">from_radix_digits_be</span>(<span class="ident">v</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>], <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">v</span>.<span class="ident">is_empty</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="op">!</span><span class="ident">radix</span>.<span class="ident">is_power_of_two</span>());
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">v</span>.<span class="ident">iter</span>().<span class="ident">all</span>(<span class="op">|</span><span class="kw-2">&</span><span class="ident">c</span><span class="op">|</span> (<span class="ident">c</span> <span class="kw">as</span> <span class="ident">u32</span>) <span class="op"><</span> <span class="ident">radix</span>));
<span class="comment">// Estimate how big the result will be, so we can pre-allocate it.</span>
<span class="kw">let</span> <span class="ident">bits</span> <span class="op">=</span> (<span class="ident">radix</span> <span class="kw">as</span> <span class="ident">f64</span>).<span class="ident">log2</span>() <span class="op">*</span> <span class="ident">v</span>.<span class="ident">len</span>() <span class="kw">as</span> <span class="ident">f64</span>;
<span class="kw">let</span> <span class="ident">big_digits</span> <span class="op">=</span> (<span class="ident">bits</span> <span class="op">/</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="kw">as</span> <span class="ident">f64</span>).<span class="ident">ceil</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">data</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">big_digits</span> <span class="kw">as</span> <span class="ident">usize</span>);
<span class="kw">let</span> (<span class="ident">base</span>, <span class="ident">power</span>) <span class="op">=</span> <span class="ident">get_radix_base</span>(<span class="ident">radix</span>);
<span class="kw">let</span> <span class="ident">radix</span> <span class="op">=</span> <span class="ident">radix</span> <span class="kw">as</span> <span class="ident">BigDigit</span>;
<span class="kw">let</span> <span class="ident">r</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">len</span>() <span class="op">%</span> <span class="ident">power</span>;
<span class="kw">let</span> <span class="ident">i</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">r</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">power</span>
} <span class="kw">else</span> {
<span class="ident">r</span>
};
<span class="kw">let</span> (<span class="ident">head</span>, <span class="ident">tail</span>) <span class="op">=</span> <span class="ident">v</span>.<span class="ident">split_at</span>(<span class="ident">i</span>);
<span class="kw">let</span> <span class="ident">first</span> <span class="op">=</span> <span class="ident">head</span>.<span class="ident">iter</span>().<span class="ident">fold</span>(<span class="number">0</span>, <span class="op">|</span><span class="ident">acc</span>, <span class="kw-2">&</span><span class="ident">d</span><span class="op">|</span> <span class="ident">acc</span> <span class="op">*</span> <span class="ident">radix</span> <span class="op">+</span> <span class="ident">d</span> <span class="kw">as</span> <span class="ident">BigDigit</span>);
<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">first</span>);
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">tail</span>.<span class="ident">len</span>() <span class="op">%</span> <span class="ident">power</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span>);
<span class="kw">for</span> <span class="ident">chunk</span> <span class="kw">in</span> <span class="ident">tail</span>.<span class="ident">chunks</span>(<span class="ident">power</span>) {
<span class="kw">if</span> <span class="ident">data</span>.<span class="ident">last</span>() <span class="op">!</span><span class="op">=</span> <span class="prelude-val">Some</span>(<span class="kw-2">&</span><span class="number">0</span>) {
<span class="ident">data</span>.<span class="ident">push</span>(<span class="number">0</span>);
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">carry</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">for</span> <span class="ident">d</span> <span class="kw">in</span> <span class="ident">data</span>.<span class="ident">iter_mut</span>() {
<span class="kw-2">*</span><span class="ident">d</span> <span class="op">=</span> <span class="ident">mac_with_carry</span>(<span class="number">0</span>, <span class="kw-2">*</span><span class="ident">d</span>, <span class="ident">base</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">carry</span>);
}
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">carry</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">n</span> <span class="op">=</span> <span class="ident">chunk</span>.<span class="ident">iter</span>().<span class="ident">fold</span>(<span class="number">0</span>, <span class="op">|</span><span class="ident">acc</span>, <span class="kw-2">&</span><span class="ident">d</span><span class="op">|</span> <span class="ident">acc</span> <span class="op">*</span> <span class="ident">radix</span> <span class="op">+</span> <span class="ident">d</span> <span class="kw">as</span> <span class="ident">BigDigit</span>);
<span class="ident">add2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">data</span>, <span class="kw-2">&</span>[<span class="ident">n</span>]);
}
<span class="ident">BigUint</span>::<span class="ident">new</span>(<span class="ident">data</span>)
}
<span class="kw">impl</span> <span class="ident">Num</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">FromStrRadixErr</span> <span class="op">=</span> <span class="ident">ParseBigIntError</span>;
<span class="doccomment">/// Creates and initializes a `BigUint`.</span>
<span class="kw">fn</span> <span class="ident">from_str_radix</span>(<span class="ident">s</span>: <span class="kw-2">&</span><span class="ident">str</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">BigUint</span>, <span class="ident">ParseBigIntError</span><span class="op">></span> {
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">2</span> <span class="op"><</span><span class="op">=</span> <span class="ident">radix</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">radix</span> <span class="op"><</span><span class="op">=</span> <span class="number">36</span>, <span class="string">"The radix must be within 2...36"</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">s</span> <span class="op">=</span> <span class="ident">s</span>;
<span class="kw">if</span> <span class="ident">s</span>.<span class="ident">starts_with</span>(<span class="string">'+'</span>) {
<span class="kw">let</span> <span class="ident">tail</span> <span class="op">=</span> <span class="kw-2">&</span><span class="ident">s</span>[<span class="number">1</span>..];
<span class="kw">if</span> <span class="op">!</span><span class="ident">tail</span>.<span class="ident">starts_with</span>(<span class="string">'+'</span>) {
<span class="ident">s</span> <span class="op">=</span> <span class="ident">tail</span>
}
}
<span class="kw">if</span> <span class="ident">s</span>.<span class="ident">is_empty</span>() {
<span class="comment">// create ParseIntError::Empty</span>
<span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">u64</span>::<span class="ident">from_str_radix</span>(<span class="ident">s</span>, <span class="ident">radix</span>).<span class="ident">unwrap_err</span>();
<span class="kw">return</span> <span class="prelude-val">Err</span>(<span class="ident">e</span>.<span class="ident">into</span>());
}
<span class="kw">if</span> <span class="ident">s</span>.<span class="ident">starts_with</span>(<span class="string">'_'</span>) {
<span class="comment">// Must lead with a real digit!</span>
<span class="comment">// create ParseIntError::InvalidDigit</span>
<span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">u64</span>::<span class="ident">from_str_radix</span>(<span class="ident">s</span>, <span class="ident">radix</span>).<span class="ident">unwrap_err</span>();
<span class="kw">return</span> <span class="prelude-val">Err</span>(<span class="ident">e</span>.<span class="ident">into</span>());
}
<span class="comment">// First normalize all characters to plain digit values</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">s</span>.<span class="ident">len</span>());
<span class="kw">for</span> <span class="ident">b</span> <span class="kw">in</span> <span class="ident">s</span>.<span class="ident">bytes</span>() {
<span class="kw">let</span> <span class="ident">d</span> <span class="op">=</span> <span class="kw">match</span> <span class="ident">b</span> {
<span class="string">b'0'</span>...<span class="string">b'9'</span> <span class="op">=</span><span class="op">></span> <span class="ident">b</span> <span class="op">-</span> <span class="string">b'0'</span>,
<span class="string">b'a'</span>...<span class="string">b'z'</span> <span class="op">=</span><span class="op">></span> <span class="ident">b</span> <span class="op">-</span> <span class="string">b'a'</span> <span class="op">+</span> <span class="number">10</span>,
<span class="string">b'A'</span>...<span class="string">b'Z'</span> <span class="op">=</span><span class="op">></span> <span class="ident">b</span> <span class="op">-</span> <span class="string">b'A'</span> <span class="op">+</span> <span class="number">10</span>,
<span class="string">b'_'</span> <span class="op">=</span><span class="op">></span> <span class="kw">continue</span>,
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> <span class="ident">u8</span>::<span class="ident">MAX</span>,
};
<span class="kw">if</span> <span class="ident">d</span> <span class="op"><</span> <span class="ident">radix</span> <span class="kw">as</span> <span class="ident">u8</span> {
<span class="ident">v</span>.<span class="ident">push</span>(<span class="ident">d</span>);
} <span class="kw">else</span> {
<span class="comment">// create ParseIntError::InvalidDigit</span>
<span class="comment">// Include the previous character for context.</span>
<span class="kw">let</span> <span class="ident">i</span> <span class="op">=</span> <span class="ident">cmp</span>::<span class="ident">max</span>(<span class="ident">v</span>.<span class="ident">len</span>(), <span class="number">1</span>) <span class="op">-</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">u64</span>::<span class="ident">from_str_radix</span>(<span class="kw-2">&</span><span class="ident">s</span>[<span class="ident">i</span>..], <span class="ident">radix</span>).<span class="ident">unwrap_err</span>();
<span class="kw">return</span> <span class="prelude-val">Err</span>(<span class="ident">e</span>.<span class="ident">into</span>());
}
}
<span class="kw">let</span> <span class="ident">res</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">radix</span>.<span class="ident">is_power_of_two</span>() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of multiplication</span>
<span class="kw">let</span> <span class="ident">bits</span> <span class="op">=</span> <span class="ident">ilog2</span>(<span class="ident">radix</span>);
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="kw">if</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">from_bitwise_digits_le</span>(<span class="kw-2">&</span><span class="ident">v</span>, <span class="ident">bits</span>)
} <span class="kw">else</span> {
<span class="ident">from_inexact_bitwise_digits_le</span>(<span class="kw-2">&</span><span class="ident">v</span>, <span class="ident">bits</span>)
}
} <span class="kw">else</span> {
<span class="ident">from_radix_digits_be</span>(<span class="kw-2">&</span><span class="ident">v</span>, <span class="ident">radix</span>)
};
<span class="prelude-val">Ok</span>(<span class="ident">res</span>)
}
}
<span class="macro">forward_all_binop_to_val_ref_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">BitAnd</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">bitand</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">BitAndAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">bitand_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">BitAnd</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">bitand</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="kw-2">&</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">BitAndAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">bitand_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) {
<span class="kw">for</span> (<span class="ident">ai</span>, <span class="kw-2">&</span><span class="ident">bi</span>) <span class="kw">in</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">iter_mut</span>().<span class="ident">zip</span>(<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">iter</span>()) {
<span class="kw-2">*</span><span class="ident">ai</span> <span class="kw-2">&</span><span class="op">=</span> <span class="ident">bi</span>;
}
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">truncate</span>(<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>());
<span class="self">self</span>.<span class="ident">normalize</span>();
}
}
<span class="macro">forward_all_binop_to_val_ref_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">BitOr</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">bitor</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">BitOrAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">bitor_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">BitOr</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="kw">fn</span> <span class="ident">bitor</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">|</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">BitOrAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">bitor_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) {
<span class="kw">for</span> (<span class="ident">ai</span>, <span class="kw-2">&</span><span class="ident">bi</span>) <span class="kw">in</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">iter_mut</span>().<span class="ident">zip</span>(<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">iter</span>()) {
<span class="kw-2">*</span><span class="ident">ai</span> <span class="op">|</span><span class="op">=</span> <span class="ident">bi</span>;
}
<span class="kw">if</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">></span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="kw">let</span> <span class="ident">extra</span> <span class="op">=</span> <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">data</span>[<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>()..];
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">extend</span>(<span class="ident">extra</span>.<span class="ident">iter</span>().<span class="ident">cloned</span>());
}
}
}
<span class="macro">forward_all_binop_to_val_ref_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">BitXor</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">bitxor</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">BitXorAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">bitxor_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">BitXor</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="kw">fn</span> <span class="ident">bitxor</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">^</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">BitXorAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">bitxor_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) {
<span class="kw">for</span> (<span class="ident">ai</span>, <span class="kw-2">&</span><span class="ident">bi</span>) <span class="kw">in</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">iter_mut</span>().<span class="ident">zip</span>(<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">iter</span>()) {
<span class="kw-2">*</span><span class="ident">ai</span> <span class="op">^</span><span class="op">=</span> <span class="ident">bi</span>;
}
<span class="kw">if</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">></span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="kw">let</span> <span class="ident">extra</span> <span class="op">=</span> <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">data</span>[<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>()..];
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">extend</span>(<span class="ident">extra</span>.<span class="ident">iter</span>().<span class="ident">cloned</span>());
}
<span class="self">self</span>.<span class="ident">normalize</span>();
}
}
<span class="kw">impl</span> <span class="ident">Shl</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">shl</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">biguint_shl</span>(<span class="ident">Cow</span>::<span class="ident">Owned</span>(<span class="self">self</span>), <span class="ident">rhs</span>)
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">Shl</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">shl</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">biguint_shl</span>(<span class="ident">Cow</span>::<span class="ident">Borrowed</span>(<span class="self">self</span>), <span class="ident">rhs</span>)
}
}
<span class="kw">impl</span> <span class="ident">ShlAssign</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">shl_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">usize</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="ident">biguint_shl</span>(<span class="ident">Cow</span>::<span class="ident">Borrowed</span>(<span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span>), <span class="ident">rhs</span>);
}
}
<span class="kw">impl</span> <span class="ident">Shr</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">shr</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">biguint_shr</span>(<span class="ident">Cow</span>::<span class="ident">Owned</span>(<span class="self">self</span>), <span class="ident">rhs</span>)
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">Shr</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">shr</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">biguint_shr</span>(<span class="ident">Cow</span>::<span class="ident">Borrowed</span>(<span class="self">self</span>), <span class="ident">rhs</span>)
}
}
<span class="kw">impl</span> <span class="ident">ShrAssign</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">shr_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">usize</span>) {
<span class="kw">let</span> <span class="ident">n</span> <span class="op">=</span> <span class="ident">mem</span>::<span class="ident">replace</span>(<span class="self">self</span>, <span class="ident">BigUint</span>::<span class="ident">zero</span>());
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="ident">n</span> <span class="op">></span><span class="op">></span> <span class="ident">rhs</span>;
}
}
<span class="kw">impl</span> <span class="ident">Zero</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">zero</span>() <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">BigUint</span>::<span class="ident">new</span>(<span class="ident">Vec</span>::<span class="ident">new</span>())
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_zero</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">is_empty</span>()
}
}
<span class="kw">impl</span> <span class="ident">One</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">one</span>() <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">BigUint</span>::<span class="ident">new</span>(<span class="macro">vec</span><span class="macro">!</span>[<span class="number">1</span>])
}
}
<span class="kw">impl</span> <span class="ident">Unsigned</span> <span class="kw">for</span> <span class="ident">BigUint</span> {}
<span class="macro">forward_all_binop_to_val_ref_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Add</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">add</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">AddAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">add_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">Add</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="kw">fn</span> <span class="ident">add</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">+</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">AddAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op"><</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="kw">let</span> <span class="ident">extra</span> <span class="op">=</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>();
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">extend</span>(<span class="ident">repeat</span>(<span class="number">0</span>).<span class="ident">take</span>(<span class="ident">extra</span>));
}
<span class="kw">let</span> <span class="ident">carry</span> <span class="op">=</span> <span class="ident">__add2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">data</span>[..]);
<span class="kw">if</span> <span class="ident">carry</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">carry</span>);
}
}
}
<span class="macro">promote_unsigned_scalars</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Add</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">add</span>);
<span class="macro">promote_unsigned_scalars_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">AddAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">add_assign</span>);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Add</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">add</span>);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Add</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">add</span>);
<span class="kw">impl</span> <span class="ident">Add</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">add</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">+</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span> <span class="ident">AddAssign</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) {
<span class="kw">if</span> <span class="ident">other</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="number">0</span>);
}
<span class="kw">let</span> <span class="ident">carry</span> <span class="op">=</span> <span class="ident">__add2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>, <span class="kw-2">&</span>[<span class="ident">other</span>]);
<span class="kw">if</span> <span class="ident">carry</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">carry</span>);
}
}
}
}
<span class="kw">impl</span> <span class="ident">Add</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">add</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">+</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span> <span class="ident">AddAssign</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) {
<span class="kw">let</span> (<span class="ident">hi</span>, <span class="ident">lo</span>) <span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">from_doublebigdigit</span>(<span class="ident">other</span>);
<span class="kw">if</span> <span class="ident">hi</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">+</span><span class="op">=</span> <span class="ident">lo</span>;
} <span class="kw">else</span> {
<span class="kw">while</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op"><</span> <span class="number">2</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="number">0</span>);
}
<span class="kw">let</span> <span class="ident">carry</span> <span class="op">=</span> <span class="ident">__add2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>, <span class="kw-2">&</span>[<span class="ident">lo</span>, <span class="ident">hi</span>]);
<span class="kw">if</span> <span class="ident">carry</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">carry</span>);
}
}
}
}
<span class="macro">forward_val_val_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Sub</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub</span>);
<span class="macro">forward_ref_ref_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Sub</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">SubAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">Sub</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">-</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">SubAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span>) {
<span class="ident">sub2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">data</span>[..]);
<span class="self">self</span>.<span class="ident">normalize</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="kw-2">mut</span> <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">if</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op"><</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="kw">let</span> <span class="ident">extra</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>();
<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">extend</span>(<span class="ident">repeat</span>(<span class="number">0</span>).<span class="ident">take</span>(<span class="ident">extra</span>));
}
<span class="ident">sub2rev</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">other</span>.<span class="ident">data</span>[..]);
<span class="ident">other</span>.<span class="ident">normalized</span>()
}
}
<span class="macro">promote_unsigned_scalars</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Sub</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub</span>);
<span class="macro">promote_unsigned_scalars_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">SubAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub_assign</span>);
<span class="macro">forward_all_scalar_binop_to_val_val</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub</span>);
<span class="macro">forward_all_scalar_binop_to_val_val</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">sub</span>);
<span class="kw">impl</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">-</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span> <span class="ident">SubAssign</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) {
<span class="ident">sub2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span>[<span class="ident">other</span>]);
<span class="self">self</span>.<span class="ident">normalize</span>();
}
}
<span class="kw">impl</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigDigit</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="kw-2">mut</span> <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">if</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="number">0</span>);
}
<span class="ident">sub2rev</span>(<span class="kw-2">&</span>[<span class="self">self</span>], <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">other</span>.<span class="ident">data</span>[..]);
<span class="ident">other</span>.<span class="ident">normalized</span>()
}
}
<span class="kw">impl</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">-</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span> <span class="ident">SubAssign</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) {
<span class="kw">let</span> (<span class="ident">hi</span>, <span class="ident">lo</span>) <span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">from_doublebigdigit</span>(<span class="ident">other</span>);
<span class="ident">sub2</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span>[<span class="ident">lo</span>, <span class="ident">hi</span>]);
<span class="self">self</span>.<span class="ident">normalize</span>();
}
}
<span class="kw">impl</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">DoubleBigDigit</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="kw-2">mut</span> <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">while</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op"><</span> <span class="number">2</span> {
<span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="number">0</span>);
}
<span class="kw">let</span> (<span class="ident">hi</span>, <span class="ident">lo</span>) <span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">from_doublebigdigit</span>(<span class="self">self</span>);
<span class="ident">sub2rev</span>(<span class="kw-2">&</span>[<span class="ident">lo</span>, <span class="ident">hi</span>], <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">other</span>.<span class="ident">data</span>[..]);
<span class="ident">other</span>.<span class="ident">normalized</span>()
}
}
<span class="macro">forward_all_binop_to_ref_ref</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Mul</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">mul</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">MulAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">mul_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="lifetime">'b</span><span class="op">></span> <span class="ident">Mul</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">mul3</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">data</span>[..])
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">MulAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">*</span> <span class="ident">other</span>
}
}
<span class="macro">promote_unsigned_scalars</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Mul</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">mul</span>);
<span class="macro">promote_unsigned_scalars_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">MulAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">mul_assign</span>);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">mul</span>);
<span class="macro">forward_all_scalar_binop_to_val_val_commutative</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">mul</span>);
<span class="kw">impl</span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span> <span class="ident">MulAssign</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) {
<span class="kw">if</span> <span class="ident">other</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">clear</span>();
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="ident">carry</span> <span class="op">=</span> <span class="ident">scalar_mul</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>.<span class="ident">data</span>[..], <span class="ident">other</span>);
<span class="kw">if</span> <span class="ident">carry</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">carry</span>);
}
}
}
}
<span class="kw">impl</span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>
}
}
<span class="kw">impl</span> <span class="ident">MulAssign</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) {
<span class="kw">if</span> <span class="ident">other</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">clear</span>();
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">other</span> <span class="op"><</span><span class="op">=</span> <span class="ident">BigDigit</span>::<span class="ident">max_value</span>() <span class="kw">as</span> <span class="ident">DoubleBigDigit</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span> <span class="kw">as</span> <span class="ident">BigDigit</span>
} <span class="kw">else</span> {
<span class="kw">let</span> (<span class="ident">hi</span>, <span class="ident">lo</span>) <span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">from_doublebigdigit</span>(<span class="ident">other</span>);
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="ident">mul3</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">data</span>[..], <span class="kw-2">&</span>[<span class="ident">lo</span>, <span class="ident">hi</span>])
}
}
}
<span class="macro">forward_all_binop_to_ref_ref</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Div</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">div</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">DivAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">div_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="lifetime">'b</span><span class="op">></span> <span class="ident">Div</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="ident">q</span>, <span class="kw">_</span>) <span class="op">=</span> <span class="self">self</span>.<span class="ident">div_rem</span>(<span class="ident">other</span>);
<span class="ident">q</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">DivAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">/</span> <span class="ident">other</span>;
}
}
<span class="macro">promote_unsigned_scalars</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Div</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">div</span>);
<span class="macro">promote_unsigned_scalars_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">DivAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">div_assign</span>);
<span class="macro">forward_all_scalar_binop_to_val_val</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">div</span>);
<span class="macro">forward_all_scalar_binop_to_val_val</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">div</span>);
<span class="kw">impl</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="ident">q</span>, <span class="kw">_</span>) <span class="op">=</span> <span class="ident">div_rem_digit</span>(<span class="self">self</span>, <span class="ident">other</span>);
<span class="ident">q</span>
}
}
<span class="kw">impl</span> <span class="ident">DivAssign</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">/</span> <span class="ident">other</span>;
}
}
<span class="kw">impl</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigDigit</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">match</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="number">0</span> <span class="op">=</span><span class="op">></span> <span class="macro">panic</span><span class="macro">!</span>(),
<span class="number">1</span> <span class="op">=</span><span class="op">></span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="self">self</span> <span class="op">/</span> <span class="ident">other</span>.<span class="ident">data</span>[<span class="number">0</span>]),
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> <span class="ident">Zero</span>::<span class="ident">zero</span>(),
}
}
}
<span class="kw">impl</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="ident">q</span>, <span class="kw">_</span>) <span class="op">=</span> <span class="self">self</span>.<span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">other</span>));
<span class="ident">q</span>
}
}
<span class="kw">impl</span> <span class="ident">DivAssign</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">/</span> <span class="ident">other</span>;
}
}
<span class="kw">impl</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">DoubleBigDigit</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">match</span> <span class="ident">other</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="number">0</span> <span class="op">=</span><span class="op">></span> <span class="macro">panic</span><span class="macro">!</span>(),
<span class="number">1</span> <span class="op">=</span><span class="op">></span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="self">self</span> <span class="op">/</span> <span class="ident">other</span>.<span class="ident">data</span>[<span class="number">0</span>] <span class="kw">as</span> <span class="ident">u64</span>),
<span class="number">2</span> <span class="op">=</span><span class="op">></span> <span class="ident">From</span>::<span class="ident">from</span>(<span class="self">self</span> <span class="op">/</span> <span class="ident">big_digit</span>::<span class="ident">to_doublebigdigit</span>(<span class="ident">other</span>.<span class="ident">data</span>[<span class="number">1</span>], <span class="ident">other</span>.<span class="ident">data</span>[<span class="number">0</span>])),
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> <span class="ident">Zero</span>::<span class="ident">zero</span>(),
}
}
}
<span class="macro">forward_all_binop_to_ref_ref</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Rem</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">rem</span>);
<span class="macro">forward_val_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">RemAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">rem_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="lifetime">'b</span><span class="op">></span> <span class="ident">Rem</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="kw">_</span>, <span class="ident">r</span>) <span class="op">=</span> <span class="self">self</span>.<span class="ident">div_rem</span>(<span class="ident">other</span>);
<span class="ident">r</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">RemAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="ident">other</span>;
}
}
<span class="macro">promote_unsigned_scalars</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Rem</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">rem</span>);
<span class="macro">promote_unsigned_scalars_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">RemAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">rem_assign</span>);
<span class="macro">forward_all_scalar_binop_to_val_val</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">rem</span>);
<span class="macro">forward_all_scalar_binop_to_val_val</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="ident">rem</span>);
<span class="kw">impl</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="kw">_</span>, <span class="ident">r</span>) <span class="op">=</span> <span class="ident">div_rem_digit</span>(<span class="self">self</span>, <span class="ident">other</span>);
<span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">r</span>)
}
}
<span class="kw">impl</span> <span class="ident">RemAssign</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigDigit</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="ident">other</span>;
}
}
<span class="kw">impl</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigDigit</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">%</span><span class="op">=</span> <span class="ident">other</span>;
<span class="ident">From</span>::<span class="ident">from</span>(<span class="self">self</span>)
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_rem_assign_scalar</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">scalar</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">to_scalar</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="macro">forward_val_assign_scalar</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">RemAssign</span> <span class="kw">for</span> <span class="ident">BigUint</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">scalar</span>, <span class="ident">rem_assign</span>);
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">RemAssign</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">scalar</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw">match</span> <span class="ident">other</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">to_scalar</span>() {
<span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="kw-2">*</span><span class="self">self</span>,
<span class="prelude-val">Some</span>(<span class="number">0</span>) <span class="op">=</span><span class="op">></span> <span class="macro">panic</span><span class="macro">!</span>(),
<span class="prelude-val">Some</span>(<span class="ident">v</span>) <span class="op">=</span><span class="op">></span> <span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="ident">v</span>
};
}
}
}
}
<span class="comment">// we can scalar %= BigUint for any scalar, including signed types</span>
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">usize</span>, <span class="ident">to_usize</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="ident">to_u64</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="ident">to_u32</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="ident">to_u16</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="ident">to_u8</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">isize</span>, <span class="ident">to_isize</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="ident">to_i64</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="ident">to_i32</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="ident">to_i16</span>);
<span class="macro">impl_rem_assign_scalar</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="ident">to_i8</span>);
<span class="kw">impl</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="kw">_</span>, <span class="ident">r</span>) <span class="op">=</span> <span class="self">self</span>.<span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="ident">From</span>::<span class="ident">from</span>(<span class="ident">other</span>));
<span class="ident">r</span>
}
}
<span class="kw">impl</span> <span class="ident">RemAssign</span><span class="op"><</span><span class="ident">DoubleBigDigit</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">DoubleBigDigit</span>) {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">&</span><span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="ident">other</span>;
}
}
<span class="kw">impl</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> <span class="kw">for</span> <span class="ident">DoubleBigDigit</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">%</span><span class="op">=</span> <span class="ident">other</span>;
<span class="ident">From</span>::<span class="ident">from</span>(<span class="self">self</span>)
}
}
<span class="kw">impl</span> <span class="ident">Neg</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">neg</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="macro">panic</span><span class="macro">!</span>()
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">Neg</span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">BigUint</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">BigUint</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">neg</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="macro">panic</span><span class="macro">!</span>()
}
}
<span class="kw">impl</span> <span class="ident">CheckedAdd</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">checked_add</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">v</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="kw">return</span> <span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">add</span>(<span class="ident">v</span>));
}
}
<span class="kw">impl</span> <span class="ident">CheckedSub</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">checked_sub</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">v</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="kw">match</span> <span class="self">self</span>.<span class="ident">cmp</span>(<span class="ident">v</span>) {
<span class="ident">Less</span> <span class="op">=</span><span class="op">></span> <span class="prelude-val">None</span>,
<span class="ident">Equal</span> <span class="op">=</span><span class="op">></span> <span class="prelude-val">Some</span>(<span class="ident">Zero</span>::<span class="ident">zero</span>()),
<span class="ident">Greater</span> <span class="op">=</span><span class="op">></span> <span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">sub</span>(<span class="ident">v</span>)),
}
}
}
<span class="kw">impl</span> <span class="ident">CheckedMul</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">v</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="kw">return</span> <span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">mul</span>(<span class="ident">v</span>));
}
}
<span class="kw">impl</span> <span class="ident">CheckedDiv</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">checked_div</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">v</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="kw">if</span> <span class="ident">v</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="kw">return</span> <span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">div</span>(<span class="ident">v</span>));
}
}
<span class="kw">impl</span> <span class="ident">Integer</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> (<span class="ident">BigUint</span>, <span class="ident">BigUint</span>) {
<span class="ident">div_rem</span>(<span class="self">self</span>, <span class="ident">other</span>)
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="ident">d</span>, <span class="kw">_</span>) <span class="op">=</span> <span class="ident">div_rem</span>(<span class="self">self</span>, <span class="ident">other</span>);
<span class="ident">d</span>
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">let</span> (<span class="kw">_</span>, <span class="ident">m</span>) <span class="op">=</span> <span class="ident">div_rem</span>(<span class="self">self</span>, <span class="ident">other</span>);
<span class="ident">m</span>
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> (<span class="ident">BigUint</span>, <span class="ident">BigUint</span>) {
<span class="ident">div_rem</span>(<span class="self">self</span>, <span class="ident">other</span>)
}
<span class="doccomment">/// Calculates the Greatest Common Divisor (GCD) of the number and `other`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The result is always positive.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">gcd</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-</span><span class="op">></span> <span class="self">Self</span> {
<span class="comment">// Stein's algorithm</span>
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="ident">other</span>.<span class="ident">clone</span>();
}
<span class="kw">if</span> <span class="ident">other</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="self">self</span>.<span class="ident">clone</span>();
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">m</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">clone</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n</span> <span class="op">=</span> <span class="ident">other</span>.<span class="ident">clone</span>();
<span class="comment">// find common factors of 2</span>
<span class="kw">let</span> <span class="ident">shift</span> <span class="op">=</span> <span class="ident">cmp</span>::<span class="ident">min</span>(
<span class="ident">n</span>.<span class="ident">trailing_zeros</span>(),
<span class="ident">m</span>.<span class="ident">trailing_zeros</span>()
);
<span class="comment">// divide m and n by 2 until odd</span>
<span class="comment">// m inside loop</span>
<span class="ident">n</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="ident">n</span>.<span class="ident">trailing_zeros</span>();
<span class="kw">while</span> <span class="op">!</span><span class="ident">m</span>.<span class="ident">is_zero</span>() {
<span class="ident">m</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="ident">m</span>.<span class="ident">trailing_zeros</span>();
<span class="kw">if</span> <span class="ident">n</span> <span class="op">></span> <span class="ident">m</span> { <span class="ident">mem</span>::<span class="ident">swap</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">n</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">m</span>) }
<span class="ident">m</span> <span class="op">-</span><span class="op">=</span> <span class="kw-2">&</span><span class="ident">n</span>;
}
<span class="ident">n</span> <span class="op"><</span><span class="op"><</span> <span class="ident">shift</span>
}
<span class="doccomment">/// Calculates the Lowest Common Multiple (LCM) of the number and `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">lcm</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span> <span class="op">/</span> <span class="self">self</span>.<span class="ident">gcd</span>(<span class="ident">other</span>) <span class="op">*</span> <span class="ident">other</span>
}
<span class="doccomment">/// Deprecated, use `is_multiple_of` instead.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">divides</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">is_multiple_of</span>(<span class="ident">other</span>)
}
<span class="doccomment">/// Returns `true` if the number is a multiple of `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_multiple_of</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
(<span class="self">self</span> <span class="op">%</span> <span class="ident">other</span>).<span class="ident">is_zero</span>()
}
<span class="doccomment">/// Returns `true` if the number is divisible by `2`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_even</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="comment">// Considering only the last digit.</span>
<span class="kw">match</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">first</span>() {
<span class="prelude-val">Some</span>(<span class="ident">x</span>) <span class="op">=</span><span class="op">></span> <span class="ident">x</span>.<span class="ident">is_even</span>(),
<span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="bool-val">true</span>,
}
}
<span class="doccomment">/// Returns `true` if the number is not divisible by `2`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_odd</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="op">!</span><span class="self">self</span>.<span class="ident">is_even</span>()
}
}
<span class="kw">fn</span> <span class="ident">high_bits_to_u64</span>(<span class="ident">v</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>) <span class="op">-</span><span class="op">></span> <span class="ident">u64</span> {
<span class="kw">match</span> <span class="ident">v</span>.<span class="ident">data</span>.<span class="ident">len</span>() {
<span class="number">0</span> <span class="op">=</span><span class="op">></span> <span class="number">0</span>,
<span class="number">1</span> <span class="op">=</span><span class="op">></span> <span class="ident">v</span>.<span class="ident">data</span>[<span class="number">0</span>] <span class="kw">as</span> <span class="ident">u64</span>,
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">bits</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">bits</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ret</span> <span class="op">=</span> <span class="number">0u64</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ret_bits</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">for</span> <span class="ident">d</span> <span class="kw">in</span> <span class="ident">v</span>.<span class="ident">data</span>.<span class="ident">iter</span>().<span class="ident">rev</span>() {
<span class="kw">let</span> <span class="ident">digit_bits</span> <span class="op">=</span> (<span class="ident">bits</span> <span class="op">-</span> <span class="number">1</span>) <span class="op">%</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">+</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">bits_want</span> <span class="op">=</span> <span class="ident">cmp</span>::<span class="ident">min</span>(<span class="number">64</span> <span class="op">-</span> <span class="ident">ret_bits</span>, <span class="ident">digit_bits</span>);
<span class="kw">if</span> <span class="ident">bits_want</span> <span class="op">!</span><span class="op">=</span> <span class="number">64</span> {
<span class="ident">ret</span> <span class="op"><</span><span class="op"><</span><span class="op">=</span> <span class="ident">bits_want</span>;
}
<span class="ident">ret</span> <span class="op">|</span><span class="op">=</span> <span class="kw-2">*</span><span class="ident">d</span> <span class="kw">as</span> <span class="ident">u64</span> <span class="op">></span><span class="op">></span> (<span class="ident">digit_bits</span> <span class="op">-</span> <span class="ident">bits_want</span>);
<span class="ident">ret_bits</span> <span class="op">+</span><span class="op">=</span> <span class="ident">bits_want</span>;
<span class="ident">bits</span> <span class="op">-</span><span class="op">=</span> <span class="ident">bits_want</span>;
<span class="kw">if</span> <span class="ident">ret_bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">64</span> {
<span class="kw">break</span>;
}
}
<span class="ident">ret</span>
}
}
}
<span class="kw">impl</span> <span class="ident">ToPrimitive</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_i64</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">i64</span><span class="op">></span> {
<span class="self">self</span>.<span class="ident">to_u64</span>().<span class="ident">and_then</span>(<span class="op">|</span><span class="ident">n</span><span class="op">|</span> {
<span class="comment">// If top bit of u64 is set, it's too large to convert to i64.</span>
<span class="kw">if</span> <span class="ident">n</span> <span class="op">></span><span class="op">></span> <span class="number">63</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="prelude-val">Some</span>(<span class="ident">n</span> <span class="kw">as</span> <span class="ident">i64</span>)
} <span class="kw">else</span> {
<span class="prelude-val">None</span>
}
})
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_u64</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">u64</span><span class="op">></span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ret</span>: <span class="ident">u64</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">bits</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">iter</span>() {
<span class="kw">if</span> <span class="ident">bits</span> <span class="op">></span><span class="op">=</span> <span class="number">64</span> {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="ident">ret</span> <span class="op">+</span><span class="op">=</span> (<span class="kw-2">*</span><span class="ident">i</span> <span class="kw">as</span> <span class="ident">u64</span>) <span class="op"><</span><span class="op"><</span> <span class="ident">bits</span>;
<span class="ident">bits</span> <span class="op">+</span><span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span>;
}
<span class="prelude-val">Some</span>(<span class="ident">ret</span>)
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_f32</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">f32</span><span class="op">></span> {
<span class="kw">let</span> <span class="ident">mantissa</span> <span class="op">=</span> <span class="ident">high_bits_to_u64</span>(<span class="self">self</span>);
<span class="kw">let</span> <span class="ident">exponent</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">bits</span>() <span class="op">-</span> <span class="ident">fls</span>(<span class="ident">mantissa</span>);
<span class="kw">if</span> <span class="ident">exponent</span> <span class="op">></span> <span class="ident">f32</span>::<span class="ident">MAX_EXP</span> <span class="kw">as</span> <span class="ident">usize</span> {
<span class="prelude-val">None</span>
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="ident">ret</span> <span class="op">=</span> (<span class="ident">mantissa</span> <span class="kw">as</span> <span class="ident">f32</span>) <span class="op">*</span> <span class="number">2.0f32</span>.<span class="ident">powi</span>(<span class="ident">exponent</span> <span class="kw">as</span> <span class="ident">i32</span>);
<span class="kw">if</span> <span class="ident">ret</span>.<span class="ident">is_infinite</span>() {
<span class="prelude-val">None</span>
} <span class="kw">else</span> {
<span class="prelude-val">Some</span>(<span class="ident">ret</span>)
}
}
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_f64</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">f64</span><span class="op">></span> {
<span class="kw">let</span> <span class="ident">mantissa</span> <span class="op">=</span> <span class="ident">high_bits_to_u64</span>(<span class="self">self</span>);
<span class="kw">let</span> <span class="ident">exponent</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">bits</span>() <span class="op">-</span> <span class="ident">fls</span>(<span class="ident">mantissa</span>);
<span class="kw">if</span> <span class="ident">exponent</span> <span class="op">></span> <span class="ident">f64</span>::<span class="ident">MAX_EXP</span> <span class="kw">as</span> <span class="ident">usize</span> {
<span class="prelude-val">None</span>
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="ident">ret</span> <span class="op">=</span> (<span class="ident">mantissa</span> <span class="kw">as</span> <span class="ident">f64</span>) <span class="op">*</span> <span class="number">2.0f64</span>.<span class="ident">powi</span>(<span class="ident">exponent</span> <span class="kw">as</span> <span class="ident">i32</span>);
<span class="kw">if</span> <span class="ident">ret</span>.<span class="ident">is_infinite</span>() {
<span class="prelude-val">None</span>
} <span class="kw">else</span> {
<span class="prelude-val">Some</span>(<span class="ident">ret</span>)
}
}
}
}
<span class="kw">impl</span> <span class="ident">FromPrimitive</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from_i64</span>(<span class="ident">n</span>: <span class="ident">i64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="kw">if</span> <span class="ident">n</span> <span class="op">></span><span class="op">=</span> <span class="number">0</span> {
<span class="prelude-val">Some</span>(<span class="ident">BigUint</span>::<span class="ident">from</span>(<span class="ident">n</span> <span class="kw">as</span> <span class="ident">u64</span>))
} <span class="kw">else</span> {
<span class="prelude-val">None</span>
}
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from_u64</span>(<span class="ident">n</span>: <span class="ident">u64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="ident">BigUint</span>::<span class="ident">from</span>(<span class="ident">n</span>))
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from_f64</span>(<span class="kw-2">mut</span> <span class="ident">n</span>: <span class="ident">f64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="comment">// handle NAN, INFINITY, NEG_INFINITY</span>
<span class="kw">if</span> <span class="op">!</span><span class="ident">n</span>.<span class="ident">is_finite</span>() {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="comment">// match the rounding of casting from float to int</span>
<span class="ident">n</span> <span class="op">=</span> <span class="ident">n</span>.<span class="ident">trunc</span>();
<span class="comment">// handle 0.x, -0.x</span>
<span class="kw">if</span> <span class="ident">n</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="prelude-val">Some</span>(<span class="ident">BigUint</span>::<span class="ident">zero</span>());
}
<span class="kw">let</span> (<span class="ident">mantissa</span>, <span class="ident">exponent</span>, <span class="ident">sign</span>) <span class="op">=</span> <span class="ident">Float</span>::<span class="ident">integer_decode</span>(<span class="ident">n</span>);
<span class="kw">if</span> <span class="ident">sign</span> <span class="op">=</span><span class="op">=</span> <span class="op">-</span><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> <span class="ident">ret</span> <span class="op">=</span> <span class="ident">BigUint</span>::<span class="ident">from</span>(<span class="ident">mantissa</span>);
<span class="kw">if</span> <span class="ident">exponent</span> <span class="op">></span> <span class="number">0</span> {
<span class="ident">ret</span> <span class="op">=</span> <span class="ident">ret</span> <span class="op"><</span><span class="op"><</span> <span class="ident">exponent</span> <span class="kw">as</span> <span class="ident">usize</span>;
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">exponent</span> <span class="op"><</span> <span class="number">0</span> {
<span class="ident">ret</span> <span class="op">=</span> <span class="ident">ret</span> <span class="op">></span><span class="op">></span> (<span class="op">-</span><span class="ident">exponent</span>) <span class="kw">as</span> <span class="ident">usize</span>;
}
<span class="prelude-val">Some</span>(<span class="ident">ret</span>)
}
}
<span class="kw">impl</span> <span class="ident">From</span><span class="op"><</span><span class="ident">u64</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from</span>(<span class="kw-2">mut</span> <span class="ident">n</span>: <span class="ident">u64</span>) <span class="op">-</span><span class="op">></span> <span class="self">Self</span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ret</span>: <span class="ident">BigUint</span> <span class="op">=</span> <span class="ident">Zero</span>::<span class="ident">zero</span>();
<span class="kw">while</span> <span class="ident">n</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">ret</span>.<span class="ident">data</span>.<span class="ident">push</span>(<span class="ident">n</span> <span class="kw">as</span> <span class="ident">BigDigit</span>);
<span class="comment">// don't overflow if BITS is 64:</span>
<span class="ident">n</span> <span class="op">=</span> (<span class="ident">n</span> <span class="op">></span><span class="op">></span> <span class="number">1</span>) <span class="op">></span><span class="op">></span> (<span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">-</span> <span class="number">1</span>);
}
<span class="ident">ret</span>
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_biguint_from_uint</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>:<span class="ident">ty</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span> <span class="ident">From</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from</span>(<span class="ident">n</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>) <span class="op">-</span><span class="op">></span> <span class="self">Self</span> {
<span class="ident">BigUint</span>::<span class="ident">from</span>(<span class="ident">n</span> <span class="kw">as</span> <span class="ident">u64</span>)
}
}
}
}
<span class="macro">impl_biguint_from_uint</span><span class="macro">!</span>(<span class="ident">u8</span>);
<span class="macro">impl_biguint_from_uint</span><span class="macro">!</span>(<span class="ident">u16</span>);
<span class="macro">impl_biguint_from_uint</span><span class="macro">!</span>(<span class="ident">u32</span>);
<span class="macro">impl_biguint_from_uint</span><span class="macro">!</span>(<span class="ident">usize</span>);
<span class="doccomment">/// A generic trait for converting a value to a `BigUint`.</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">ToBigUint</span> {
<span class="doccomment">/// Converts the value of `self` to a `BigUint`.</span>
<span class="kw">fn</span> <span class="ident">to_biguint</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span>;
}
<span class="kw">impl</span> <span class="ident">ToBigUint</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_biguint</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">clone</span>())
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_to_biguint</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">from_ty</span>:<span class="ident">path</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span> <span class="ident">ToBigUint</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_biguint</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="macro-nonterminal">$</span><span class="macro-nonterminal">from_ty</span>(<span class="kw-2">*</span><span class="self">self</span>)
}
}
}
}
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">isize</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_isize</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_i8</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_i16</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_i32</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_i64</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">usize</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_usize</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_u8</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_u16</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_u32</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_u64</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">f32</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_f32</span>);
<span class="macro">impl_to_biguint</span><span class="macro">!</span>(<span class="ident">f64</span>, <span class="ident">FromPrimitive</span>::<span class="ident">from_f64</span>);
<span class="comment">// Extract bitwise digits that evenly divide BigDigit</span>
<span class="kw">fn</span> <span class="ident">to_bitwise_digits_le</span>(<span class="ident">u</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>, <span class="ident">bits</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">u</span>.<span class="ident">is_zero</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="ident">bits</span> <span class="op"><</span><span class="op">=</span> <span class="number">8</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">last_i</span> <span class="op">=</span> <span class="ident">u</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">mask</span>: <span class="ident">BigDigit</span> <span class="op">=</span> (<span class="number">1</span> <span class="op"><</span><span class="op"><</span> <span class="ident">bits</span>) <span class="op">-</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">digits_per_big_digit</span> <span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">/</span> <span class="ident">bits</span>;
<span class="kw">let</span> <span class="ident">digits</span> <span class="op">=</span> (<span class="ident">u</span>.<span class="ident">bits</span>() <span class="op">+</span> <span class="ident">bits</span> <span class="op">-</span> <span class="number">1</span>) <span class="op">/</span> <span class="ident">bits</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">res</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">digits</span>);
<span class="kw">for</span> <span class="kw-2">mut</span> <span class="ident">r</span> <span class="kw">in</span> <span class="ident">u</span>.<span class="ident">data</span>[..<span class="ident">last_i</span>].<span class="ident">iter</span>().<span class="ident">cloned</span>() {
<span class="kw">for</span> <span class="kw">_</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">digits_per_big_digit</span> {
<span class="ident">res</span>.<span class="ident">push</span>((<span class="ident">r</span> <span class="op">&</span> <span class="ident">mask</span>) <span class="kw">as</span> <span class="ident">u8</span>);
<span class="ident">r</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="ident">bits</span>;
}
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span> <span class="op">=</span> <span class="ident">u</span>.<span class="ident">data</span>[<span class="ident">last_i</span>];
<span class="kw">while</span> <span class="ident">r</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">res</span>.<span class="ident">push</span>((<span class="ident">r</span> <span class="op">&</span> <span class="ident">mask</span>) <span class="kw">as</span> <span class="ident">u8</span>);
<span class="ident">r</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="ident">bits</span>;
}
<span class="ident">res</span>
}
<span class="comment">// Extract bitwise digits that don't evenly divide BigDigit</span>
<span class="kw">fn</span> <span class="ident">to_inexact_bitwise_digits_le</span>(<span class="ident">u</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>, <span class="ident">bits</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">u</span>.<span class="ident">is_zero</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="ident">bits</span> <span class="op"><</span><span class="op">=</span> <span class="number">8</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">mask</span>: <span class="ident">BigDigit</span> <span class="op">=</span> (<span class="number">1</span> <span class="op"><</span><span class="op"><</span> <span class="ident">bits</span>) <span class="op">-</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">digits</span> <span class="op">=</span> (<span class="ident">u</span>.<span class="ident">bits</span>() <span class="op">+</span> <span class="ident">bits</span> <span class="op">-</span> <span class="number">1</span>) <span class="op">/</span> <span class="ident">bits</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">res</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">digits</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">rbits</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">for</span> <span class="ident">c</span> <span class="kw">in</span> <span class="kw-2">&</span><span class="ident">u</span>.<span class="ident">data</span> {
<span class="ident">r</span> <span class="op">|</span><span class="op">=</span> <span class="kw-2">*</span><span class="ident">c</span> <span class="op"><</span><span class="op"><</span> <span class="ident">rbits</span>;
<span class="ident">rbits</span> <span class="op">+</span><span class="op">=</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span>;
<span class="kw">while</span> <span class="ident">rbits</span> <span class="op">></span><span class="op">=</span> <span class="ident">bits</span> {
<span class="ident">res</span>.<span class="ident">push</span>((<span class="ident">r</span> <span class="op">&</span> <span class="ident">mask</span>) <span class="kw">as</span> <span class="ident">u8</span>);
<span class="ident">r</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="ident">bits</span>;
<span class="comment">// r had more bits than it could fit - grab the bits we lost</span>
<span class="kw">if</span> <span class="ident">rbits</span> <span class="op">></span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> {
<span class="ident">r</span> <span class="op">=</span> <span class="kw-2">*</span><span class="ident">c</span> <span class="op">></span><span class="op">></span> (<span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">-</span> (<span class="ident">rbits</span> <span class="op">-</span> <span class="ident">bits</span>));
}
<span class="ident">rbits</span> <span class="op">-</span><span class="op">=</span> <span class="ident">bits</span>;
}
}
<span class="kw">if</span> <span class="ident">rbits</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">res</span>.<span class="ident">push</span>(<span class="ident">r</span> <span class="kw">as</span> <span class="ident">u8</span>);
}
<span class="kw">while</span> <span class="kw">let</span> <span class="prelude-val">Some</span>(<span class="kw-2">&</span><span class="number">0</span>) <span class="op">=</span> <span class="ident">res</span>.<span class="ident">last</span>() {
<span class="ident">res</span>.<span class="ident">pop</span>();
}
<span class="ident">res</span>
}
<span class="comment">// Extract little-endian radix digits</span>
<span class="attribute">#[<span class="ident">inline</span>(<span class="ident">always</span>)]</span> <span class="comment">// forced inline to get const-prop for radix=10</span>
<span class="kw">fn</span> <span class="ident">to_radix_digits_le</span>(<span class="ident">u</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">u</span>.<span class="ident">is_zero</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="op">!</span><span class="ident">radix</span>.<span class="ident">is_power_of_two</span>());
<span class="comment">// Estimate how big the result will be, so we can pre-allocate it.</span>
<span class="kw">let</span> <span class="ident">radix_digits</span> <span class="op">=</span> ((<span class="ident">u</span>.<span class="ident">bits</span>() <span class="kw">as</span> <span class="ident">f64</span>) <span class="op">/</span> (<span class="ident">radix</span> <span class="kw">as</span> <span class="ident">f64</span>).<span class="ident">log2</span>()).<span class="ident">ceil</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">res</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">radix_digits</span> <span class="kw">as</span> <span class="ident">usize</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">digits</span> <span class="op">=</span> <span class="ident">u</span>.<span class="ident">clone</span>();
<span class="kw">let</span> (<span class="ident">base</span>, <span class="ident">power</span>) <span class="op">=</span> <span class="ident">get_radix_base</span>(<span class="ident">radix</span>);
<span class="kw">let</span> <span class="ident">radix</span> <span class="op">=</span> <span class="ident">radix</span> <span class="kw">as</span> <span class="ident">BigDigit</span>;
<span class="kw">while</span> <span class="ident">digits</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">></span> <span class="number">1</span> {
<span class="kw">let</span> (<span class="ident">q</span>, <span class="kw-2">mut</span> <span class="ident">r</span>) <span class="op">=</span> <span class="ident">div_rem_digit</span>(<span class="ident">digits</span>, <span class="ident">base</span>);
<span class="kw">for</span> <span class="kw">_</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">power</span> {
<span class="ident">res</span>.<span class="ident">push</span>((<span class="ident">r</span> <span class="op">%</span> <span class="ident">radix</span>) <span class="kw">as</span> <span class="ident">u8</span>);
<span class="ident">r</span> <span class="op">/</span><span class="op">=</span> <span class="ident">radix</span>;
}
<span class="ident">digits</span> <span class="op">=</span> <span class="ident">q</span>;
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span> <span class="op">=</span> <span class="ident">digits</span>.<span class="ident">data</span>[<span class="number">0</span>];
<span class="kw">while</span> <span class="ident">r</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">res</span>.<span class="ident">push</span>((<span class="ident">r</span> <span class="op">%</span> <span class="ident">radix</span>) <span class="kw">as</span> <span class="ident">u8</span>);
<span class="ident">r</span> <span class="op">/</span><span class="op">=</span> <span class="ident">radix</span>;
}
<span class="ident">res</span>
}
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_radix_le</span>(<span class="ident">u</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="kw">if</span> <span class="ident">u</span>.<span class="ident">is_zero</span>() {
<span class="macro">vec</span><span class="macro">!</span>[<span class="number">0</span>]
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">radix</span>.<span class="ident">is_power_of_two</span>() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of division</span>
<span class="kw">let</span> <span class="ident">bits</span> <span class="op">=</span> <span class="ident">ilog2</span>(<span class="ident">radix</span>);
<span class="kw">if</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">to_bitwise_digits_le</span>(<span class="ident">u</span>, <span class="ident">bits</span>)
} <span class="kw">else</span> {
<span class="ident">to_inexact_bitwise_digits_le</span>(<span class="ident">u</span>, <span class="ident">bits</span>)
}
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">radix</span> <span class="op">=</span><span class="op">=</span> <span class="number">10</span> {
<span class="comment">// 10 is so common that it's worth separating out for const-propagation.</span>
<span class="comment">// Optimizers can often turn constant division into a faster multiplication.</span>
<span class="ident">to_radix_digits_le</span>(<span class="ident">u</span>, <span class="number">10</span>)
} <span class="kw">else</span> {
<span class="ident">to_radix_digits_le</span>(<span class="ident">u</span>, <span class="ident">radix</span>)
}
}
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_str_radix_reversed</span>(<span class="ident">u</span>: <span class="kw-2">&</span><span class="ident">BigUint</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">2</span> <span class="op"><</span><span class="op">=</span> <span class="ident">radix</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">radix</span> <span class="op"><</span><span class="op">=</span> <span class="number">36</span>, <span class="string">"The radix must be within 2...36"</span>);
<span class="kw">if</span> <span class="ident">u</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="macro">vec</span><span class="macro">!</span>[<span class="string">b'0'</span>];
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">res</span> <span class="op">=</span> <span class="ident">to_radix_le</span>(<span class="ident">u</span>, <span class="ident">radix</span>);
<span class="comment">// Now convert everything to ASCII digits.</span>
<span class="kw">for</span> <span class="ident">r</span> <span class="kw">in</span> <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">res</span> {
<span class="macro">debug_assert</span><span class="macro">!</span>((<span class="kw-2">*</span><span class="ident">r</span> <span class="kw">as</span> <span class="ident">u32</span>) <span class="op"><</span> <span class="ident">radix</span>);
<span class="kw">if</span> <span class="kw-2">*</span><span class="ident">r</span> <span class="op"><</span> <span class="number">10</span> {
<span class="kw-2">*</span><span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="string">b'0'</span>;
} <span class="kw">else</span> {
<span class="kw-2">*</span><span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="string">b'a'</span> <span class="op">-</span> <span class="number">10</span>;
}
}
<span class="ident">res</span>
}
<span class="kw">impl</span> <span class="ident">BigUint</span> {
<span class="doccomment">/// Creates and initializes a `BigUint`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The digits are in little-endian base 2<sup>32</sup>.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">new</span>(<span class="ident">digits</span>: <span class="ident">Vec</span><span class="op"><</span><span class="ident">BigDigit</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">BigUint</span> { <span class="ident">data</span>: <span class="ident">digits</span> }.<span class="ident">normalized</span>()
}
<span class="doccomment">/// Creates and initializes a `BigUint`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The digits are in little-endian base 2<sup>32</sup>.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_slice</span>(<span class="ident">slice</span>: <span class="kw-2">&</span>[<span class="ident">BigDigit</span>]) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="ident">BigUint</span>::<span class="ident">new</span>(<span class="ident">slice</span>.<span class="ident">to_vec</span>())
}
<span class="doccomment">/// Assign a value to a `BigUint`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The digits are in little-endian base 2<sup>32</sup>.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">assign_from_slice</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">slice</span>: <span class="kw-2">&</span>[<span class="ident">BigDigit</span>]) {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">resize</span>(<span class="ident">slice</span>.<span class="ident">len</span>(), <span class="number">0</span>);
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">clone_from_slice</span>(<span class="ident">slice</span>);
<span class="self">self</span>.<span class="ident">normalize</span>();
}
<span class="doccomment">/// Creates and initializes a `BigUint`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The bytes are in big-endian byte order.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::BigUint;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(BigUint::from_bytes_be(b"A"),</span>
<span class="doccomment">/// BigUint::parse_bytes(b"65", 10).unwrap());</span>
<span class="doccomment">/// assert_eq!(BigUint::from_bytes_be(b"AA"),</span>
<span class="doccomment">/// BigUint::parse_bytes(b"16705", 10).unwrap());</span>
<span class="doccomment">/// assert_eq!(BigUint::from_bytes_be(b"AB"),</span>
<span class="doccomment">/// BigUint::parse_bytes(b"16706", 10).unwrap());</span>
<span class="doccomment">/// assert_eq!(BigUint::from_bytes_be(b"Hello world!"),</span>
<span class="doccomment">/// BigUint::parse_bytes(b"22405534230753963835153736737", 10).unwrap());</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_bytes_be</span>(<span class="ident">bytes</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>]) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">if</span> <span class="ident">bytes</span>.<span class="ident">is_empty</span>() {
<span class="ident">Zero</span>::<span class="ident">zero</span>()
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">bytes</span>.<span class="ident">to_vec</span>();
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="ident">BigUint</span>::<span class="ident">from_bytes_le</span>(<span class="kw-2">&</span><span class="kw-2">*</span><span class="ident">v</span>)
}
}
<span class="doccomment">/// Creates and initializes a `BigUint`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The bytes are in little-endian byte order.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_bytes_le</span>(<span class="ident">bytes</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>]) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="kw">if</span> <span class="ident">bytes</span>.<span class="ident">is_empty</span>() {
<span class="ident">Zero</span>::<span class="ident">zero</span>()
} <span class="kw">else</span> {
<span class="ident">from_bitwise_digits_le</span>(<span class="ident">bytes</span>, <span class="number">8</span>)
}
}
<span class="doccomment">/// Creates and initializes a `BigUint`. The input slice must contain</span>
<span class="doccomment">/// ascii/utf8 characters in [0-9a-zA-Z].</span>
<span class="doccomment">/// `radix` must be in the range `2...36`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The function `from_str_radix` from the `Num` trait provides the same logic</span>
<span class="doccomment">/// for `&str` buffers.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::{BigUint, ToBigUint};</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(BigUint::parse_bytes(b"1234", 10), ToBigUint::to_biguint(&1234));</span>
<span class="doccomment">/// assert_eq!(BigUint::parse_bytes(b"ABCD", 16), ToBigUint::to_biguint(&0xABCD));</span>
<span class="doccomment">/// assert_eq!(BigUint::parse_bytes(b"G", 16), None);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">parse_bytes</span>(<span class="ident">buf</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>], <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="ident">str</span>::<span class="ident">from_utf8</span>(<span class="ident">buf</span>).<span class="ident">ok</span>().<span class="ident">and_then</span>(<span class="op">|</span><span class="ident">s</span><span class="op">|</span> <span class="ident">BigUint</span>::<span class="ident">from_str_radix</span>(<span class="ident">s</span>, <span class="ident">radix</span>).<span class="ident">ok</span>())
}
<span class="doccomment">/// Creates and initializes a `BigUint`. Each u8 of the input slice is</span>
<span class="doccomment">/// interpreted as one digit of the number</span>
<span class="doccomment">/// and must therefore be less than `radix`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The bytes are in big-endian byte order.</span>
<span class="doccomment">/// `radix` must be in the range `2...256`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::{BigUint};</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let inbase190 = &[15, 33, 125, 12, 14];</span>
<span class="doccomment">/// let a = BigUint::from_radix_be(inbase190, 190).unwrap();</span>
<span class="doccomment">/// assert_eq!(a.to_radix_be(190), inbase190);</span>
<span class="doccomment">/// ```</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_radix_be</span>(<span class="ident">buf</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>], <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">2</span> <span class="op"><</span><span class="op">=</span> <span class="ident">radix</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">radix</span> <span class="op"><</span><span class="op">=</span> <span class="number">256</span>, <span class="string">"The radix must be within 2...256"</span>);
<span class="kw">if</span> <span class="ident">radix</span> <span class="op">!</span><span class="op">=</span> <span class="number">256</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">buf</span>.<span class="ident">iter</span>().<span class="ident">any</span>(<span class="op">|</span><span class="kw-2">&</span><span class="ident">b</span><span class="op">|</span> <span class="ident">b</span> <span class="op">></span><span class="op">=</span> <span class="ident">radix</span> <span class="kw">as</span> <span class="ident">u8</span>) {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="kw">let</span> <span class="ident">res</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">radix</span>.<span class="ident">is_power_of_two</span>() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of multiplication</span>
<span class="kw">let</span> <span class="ident">bits</span> <span class="op">=</span> <span class="ident">ilog2</span>(<span class="ident">radix</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">from</span>(<span class="ident">buf</span>);
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="kw">if</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">from_bitwise_digits_le</span>(<span class="kw-2">&</span><span class="ident">v</span>, <span class="ident">bits</span>)
} <span class="kw">else</span> {
<span class="ident">from_inexact_bitwise_digits_le</span>(<span class="kw-2">&</span><span class="ident">v</span>, <span class="ident">bits</span>)
}
} <span class="kw">else</span> {
<span class="ident">from_radix_digits_be</span>(<span class="ident">buf</span>, <span class="ident">radix</span>)
};
<span class="prelude-val">Some</span>(<span class="ident">res</span>)
}
<span class="doccomment">/// Creates and initializes a `BigUint`. Each u8 of the input slice is</span>
<span class="doccomment">/// interpreted as one digit of the number</span>
<span class="doccomment">/// and must therefore be less than `radix`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The bytes are in little-endian byte order.</span>
<span class="doccomment">/// `radix` must be in the range `2...256`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::{BigUint};</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let inbase190 = &[14, 12, 125, 33, 15];</span>
<span class="doccomment">/// let a = BigUint::from_radix_be(inbase190, 190).unwrap();</span>
<span class="doccomment">/// assert_eq!(a.to_radix_be(190), inbase190);</span>
<span class="doccomment">/// ```</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_radix_le</span>(<span class="ident">buf</span>: <span class="kw-2">&</span>[<span class="ident">u8</span>], <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigUint</span><span class="op">></span> {
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">2</span> <span class="op"><</span><span class="op">=</span> <span class="ident">radix</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">radix</span> <span class="op"><</span><span class="op">=</span> <span class="number">256</span>, <span class="string">"The radix must be within 2...256"</span>);
<span class="kw">if</span> <span class="ident">radix</span> <span class="op">!</span><span class="op">=</span> <span class="number">256</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">buf</span>.<span class="ident">iter</span>().<span class="ident">any</span>(<span class="op">|</span><span class="kw-2">&</span><span class="ident">b</span><span class="op">|</span> <span class="ident">b</span> <span class="op">></span><span class="op">=</span> <span class="ident">radix</span> <span class="kw">as</span> <span class="ident">u8</span>) {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="kw">let</span> <span class="ident">res</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">radix</span>.<span class="ident">is_power_of_two</span>() {
<span class="comment">// Powers of two can use bitwise masks and shifting instead of multiplication</span>
<span class="kw">let</span> <span class="ident">bits</span> <span class="op">=</span> <span class="ident">ilog2</span>(<span class="ident">radix</span>);
<span class="kw">if</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">%</span> <span class="ident">bits</span> <span class="op">=</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">from_bitwise_digits_le</span>(<span class="ident">buf</span>, <span class="ident">bits</span>)
} <span class="kw">else</span> {
<span class="ident">from_inexact_bitwise_digits_le</span>(<span class="ident">buf</span>, <span class="ident">bits</span>)
}
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">from</span>(<span class="ident">buf</span>);
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="ident">from_radix_digits_be</span>(<span class="kw-2">&</span><span class="ident">v</span>, <span class="ident">radix</span>)
};
<span class="prelude-val">Some</span>(<span class="ident">res</span>)
}
<span class="doccomment">/// Returns the byte representation of the `BigUint` in big-endian byte order.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::BigUint;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let i = BigUint::parse_bytes(b"1125", 10).unwrap();</span>
<span class="doccomment">/// assert_eq!(i.to_bytes_be(), vec![4, 101]);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_bytes_be</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">to_bytes_le</span>();
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="ident">v</span>
}
<span class="doccomment">/// Returns the byte representation of the `BigUint` in little-endian byte order.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::BigUint;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let i = BigUint::parse_bytes(b"1125", 10).unwrap();</span>
<span class="doccomment">/// assert_eq!(i.to_bytes_le(), vec![101, 4]);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_bytes_le</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_zero</span>() {
<span class="macro">vec</span><span class="macro">!</span>[<span class="number">0</span>]
} <span class="kw">else</span> {
<span class="ident">to_bitwise_digits_le</span>(<span class="self">self</span>, <span class="number">8</span>)
}
}
<span class="doccomment">/// Returns the integer formatted as a string in the given radix.</span>
<span class="doccomment">/// `radix` must be in the range `2...36`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::BigUint;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let i = BigUint::parse_bytes(b"ff", 16).unwrap();</span>
<span class="doccomment">/// assert_eq!(i.to_str_radix(16), "ff");</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_str_radix</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">String</span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">to_str_radix_reversed</span>(<span class="self">self</span>, <span class="ident">radix</span>);
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="kw">unsafe</span> { <span class="ident">String</span>::<span class="ident">from_utf8_unchecked</span>(<span class="ident">v</span>) }
}
<span class="doccomment">/// Returns the integer in the requested base in big-endian digit order.</span>
<span class="doccomment">/// The output is not given in a human readable alphabet but as a zero</span>
<span class="doccomment">/// based u8 number.</span>
<span class="doccomment">/// `radix` must be in the range `2...256`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::BigUint;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(BigUint::from(0xFFFFu64).to_radix_be(159),</span>
<span class="doccomment">/// vec![2, 94, 27]);</span>
<span class="doccomment">/// // 0xFFFF = 65535 = 2*(159^2) + 94*159 + 27</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_radix_be</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">to_radix_le</span>(<span class="self">self</span>, <span class="ident">radix</span>);
<span class="ident">v</span>.<span class="ident">reverse</span>();
<span class="ident">v</span>
}
<span class="doccomment">/// Returns the integer in the requested base in little-endian digit order.</span>
<span class="doccomment">/// The output is not given in a human readable alphabet but as a zero</span>
<span class="doccomment">/// based u8 number.</span>
<span class="doccomment">/// `radix` must be in the range `2...256`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use num_bigint::BigUint;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(BigUint::from(0xFFFFu64).to_radix_le(159),</span>
<span class="doccomment">/// vec![27, 94, 2]);</span>
<span class="doccomment">/// // 0xFFFF = 65535 = 27 + 94*159 + 2*(159^2)</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_radix_le</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Vec</span><span class="op"><</span><span class="ident">u8</span><span class="op">></span> {
<span class="ident">to_radix_le</span>(<span class="self">self</span>, <span class="ident">radix</span>)
}
<span class="doccomment">/// Determines the fewest bits necessary to express the `BigUint`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">bits</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">usize</span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="number">0</span>;
}
<span class="kw">let</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">last</span>().<span class="ident">unwrap</span>().<span class="ident">leading_zeros</span>();
<span class="kw">return</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">len</span>() <span class="op">*</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">-</span> <span class="ident">zeros</span> <span class="kw">as</span> <span class="ident">usize</span>;
}
<span class="comment">// self is assumed to be normalized</span>
<span class="kw">fn</span> <span class="ident">trailing_zeros</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">usize</span> {
<span class="self">self</span>.<span class="ident">data</span>
.<span class="ident">iter</span>()
.<span class="ident">enumerate</span>()
.<span class="ident">find</span>(<span class="op">|</span><span class="kw-2">&</span>(<span class="kw">_</span>, <span class="kw-2">&</span><span class="ident">digit</span>)<span class="op">|</span> <span class="ident">digit</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span>)
.<span class="ident">map</span>(<span class="op">|</span>(<span class="ident">i</span>, <span class="ident">digit</span>)<span class="op">|</span> <span class="ident">i</span> <span class="op">*</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> <span class="op">+</span> <span class="ident">digit</span>.<span class="ident">trailing_zeros</span>() <span class="kw">as</span> <span class="ident">usize</span>)
.<span class="ident">unwrap_or</span>(<span class="number">0</span>)
}
<span class="doccomment">/// Strips off trailing zero bigdigits - comparisons require the last element in the vector to</span>
<span class="doccomment">/// be nonzero.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">normalize</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>) {
<span class="kw">while</span> <span class="kw">let</span> <span class="prelude-val">Some</span>(<span class="kw-2">&</span><span class="number">0</span>) <span class="op">=</span> <span class="self">self</span>.<span class="ident">data</span>.<span class="ident">last</span>() {
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">pop</span>();
}
}
<span class="doccomment">/// Returns a normalized `BigUint`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">normalized</span>(<span class="kw-2">mut</span> <span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigUint</span> {
<span class="self">self</span>.<span class="ident">normalize</span>();
<span class="self">self</span>
}
<span class="doccomment">/// Returns `(self ^ exponent) % modulus`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Panics if the modulus is zero.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">modpow</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">exponent</span>: <span class="kw-2">&</span><span class="self">Self</span>, <span class="ident">modulus</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-</span><span class="op">></span> <span class="self">Self</span> {
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">modulus</span>.<span class="ident">is_zero</span>(), <span class="string">"divide by zero!"</span>);
<span class="comment">// For an odd modulus, we can use Montgomery multiplication in base 2^32.</span>
<span class="kw">if</span> <span class="ident">modulus</span>.<span class="ident">is_odd</span>() {
<span class="kw">return</span> <span class="ident">monty_modpow</span>(<span class="self">self</span>, <span class="ident">exponent</span>, <span class="ident">modulus</span>);
}
<span class="comment">// Otherwise do basically the same as `num::pow`, but with a modulus.</span>
<span class="kw">let</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">BigUint</span>::<span class="ident">one</span>();
<span class="kw">if</span> <span class="ident">exponent</span>.<span class="ident">is_zero</span>() { <span class="kw">return</span> <span class="ident">one</span>; }
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">base</span> <span class="op">=</span> <span class="self">self</span> <span class="op">%</span> <span class="ident">modulus</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">exp</span> <span class="op">=</span> <span class="ident">exponent</span>.<span class="ident">clone</span>();
<span class="kw">while</span> <span class="ident">exp</span>.<span class="ident">is_even</span>() {
<span class="ident">base</span> <span class="op">=</span> <span class="kw-2">&</span><span class="ident">base</span> <span class="op">*</span> <span class="kw-2">&</span><span class="ident">base</span> <span class="op">%</span> <span class="ident">modulus</span>;
<span class="ident">exp</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="number">1</span>;
}
<span class="kw">if</span> <span class="ident">exp</span> <span class="op">=</span><span class="op">=</span> <span class="ident">one</span> { <span class="kw">return</span> <span class="ident">base</span> }
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">acc</span> <span class="op">=</span> <span class="ident">base</span>.<span class="ident">clone</span>();
<span class="kw">while</span> <span class="ident">exp</span> <span class="op">></span> <span class="ident">one</span> {
<span class="ident">exp</span> <span class="op">></span><span class="op">></span><span class="op">=</span> <span class="number">1</span>;
<span class="ident">base</span> <span class="op">=</span> <span class="kw-2">&</span><span class="ident">base</span> <span class="op">*</span> <span class="kw-2">&</span><span class="ident">base</span> <span class="op">%</span> <span class="ident">modulus</span>;
<span class="kw">if</span> <span class="ident">exp</span>.<span class="ident">is_odd</span>() {
<span class="ident">acc</span> <span class="op">=</span> <span class="ident">acc</span> <span class="op">*</span> <span class="kw-2">&</span><span class="ident">base</span> <span class="op">%</span> <span class="ident">modulus</span>;
}
}
<span class="ident">acc</span>
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>)]</span>
<span class="kw">impl</span> <span class="ident">serde</span>::<span class="ident">Serialize</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">serialize</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">serializer</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span>(), <span class="ident">S</span>::<span class="ident">Error</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">S</span>: <span class="ident">serde</span>::<span class="ident">Serializer</span>
{
<span class="self">self</span>.<span class="ident">data</span>.<span class="ident">serialize</span>(<span class="ident">serializer</span>)
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>)]</span>
<span class="kw">impl</span> <span class="ident">serde</span>::<span class="ident">Deserialize</span> <span class="kw">for</span> <span class="ident">BigUint</span> {
<span class="kw">fn</span> <span class="ident">deserialize</span><span class="op"><</span><span class="ident">D</span><span class="op">></span>(<span class="ident">deserializer</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">D</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span><span class="self">Self</span>, <span class="ident">D</span>::<span class="ident">Error</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">D</span>: <span class="ident">serde</span>::<span class="ident">Deserializer</span>
{
<span class="kw">let</span> <span class="ident">data</span> <span class="op">=</span> <span class="macro">try</span><span class="macro">!</span>(<span class="ident">Vec</span>::<span class="ident">deserialize</span>(<span class="ident">deserializer</span>));
<span class="prelude-val">Ok</span>(<span class="ident">BigUint</span> { <span class="ident">data</span>: <span class="ident">data</span> })
}
}
<span class="doccomment">/// Returns the greatest power of the radix <= big_digit::BASE</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">get_radix_base</span>(<span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> (<span class="ident">BigDigit</span>, <span class="ident">usize</span>) {
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="number">2</span> <span class="op"><</span><span class="op">=</span> <span class="ident">radix</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">radix</span> <span class="op"><</span><span class="op">=</span> <span class="number">256</span>, <span class="string">"The radix must be within 2...256"</span>);
<span class="macro">debug_assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">radix</span>.<span class="ident">is_power_of_two</span>());
<span class="comment">// To generate this table:</span>
<span class="comment">// for radix in 2u64..257 {</span>
<span class="comment">// let mut power = big_digit::BITS / fls(radix as u64);</span>
<span class="comment">// let mut base = radix.pow(power as u32);</span>
<span class="comment">//</span>
<span class="comment">// while let Some(b) = base.checked_mul(radix) {</span>
<span class="comment">// if b > big_digit::MAX {</span>
<span class="comment">// break;</span>
<span class="comment">// }</span>
<span class="comment">// base = b;</span>
<span class="comment">// power += 1;</span>
<span class="comment">// }</span>
<span class="comment">//</span>
<span class="comment">// println!("({:10}, {:2}), // {:2}", base, power, radix);</span>
<span class="comment">// }</span>
<span class="comment">// and</span>
<span class="comment">// for radix in 2u64..257 {</span>
<span class="comment">// let mut power = 64 / fls(radix as u64);</span>
<span class="comment">// let mut base = radix.pow(power as u32);</span>
<span class="comment">//</span>
<span class="comment">// while let Some(b) = base.checked_mul(radix) {</span>
<span class="comment">// base = b;</span>
<span class="comment">// power += 1;</span>
<span class="comment">// }</span>
<span class="comment">//</span>
<span class="comment">// println!("({:20}, {:2}), // {:2}", base, power, radix);</span>
<span class="comment">// }</span>
<span class="kw">match</span> <span class="ident">big_digit</span>::<span class="ident">BITS</span> {
<span class="number">32</span> <span class="op">=</span><span class="op">></span> {
<span class="kw">const</span> <span class="ident">BASES</span>: [(<span class="ident">u32</span>, <span class="ident">usize</span>); <span class="number">257</span>] <span class="op">=</span> [
( <span class="number">0</span>, <span class="number">0</span>),
( <span class="number">0</span>, <span class="number">0</span>),
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 2</span>
(<span class="number">3486784401</span>, <span class="number">20</span>), <span class="comment">// 3</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 4</span>
(<span class="number">1220703125</span>, <span class="number">13</span>), <span class="comment">// 5</span>
(<span class="number">2176782336</span>, <span class="number">12</span>), <span class="comment">// 6</span>
(<span class="number">1977326743</span>, <span class="number">11</span>), <span class="comment">// 7</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 8</span>
(<span class="number">3486784401</span>, <span class="number">10</span>), <span class="comment">// 9</span>
(<span class="number">1000000000</span>, <span class="number">9</span>), <span class="comment">// 10</span>
(<span class="number">2357947691</span>, <span class="number">9</span>), <span class="comment">// 11</span>
( <span class="number">429981696</span>, <span class="number">8</span>), <span class="comment">// 12</span>
( <span class="number">815730721</span>, <span class="number">8</span>), <span class="comment">// 13</span>
(<span class="number">1475789056</span>, <span class="number">8</span>), <span class="comment">// 14</span>
(<span class="number">2562890625</span>, <span class="number">8</span>), <span class="comment">// 15</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 16</span>
( <span class="number">410338673</span>, <span class="number">7</span>), <span class="comment">// 17</span>
( <span class="number">612220032</span>, <span class="number">7</span>), <span class="comment">// 18</span>
( <span class="number">893871739</span>, <span class="number">7</span>), <span class="comment">// 19</span>
(<span class="number">1280000000</span>, <span class="number">7</span>), <span class="comment">// 20</span>
(<span class="number">1801088541</span>, <span class="number">7</span>), <span class="comment">// 21</span>
(<span class="number">2494357888</span>, <span class="number">7</span>), <span class="comment">// 22</span>
(<span class="number">3404825447</span>, <span class="number">7</span>), <span class="comment">// 23</span>
( <span class="number">191102976</span>, <span class="number">6</span>), <span class="comment">// 24</span>
( <span class="number">244140625</span>, <span class="number">6</span>), <span class="comment">// 25</span>
( <span class="number">308915776</span>, <span class="number">6</span>), <span class="comment">// 26</span>
( <span class="number">387420489</span>, <span class="number">6</span>), <span class="comment">// 27</span>
( <span class="number">481890304</span>, <span class="number">6</span>), <span class="comment">// 28</span>
( <span class="number">594823321</span>, <span class="number">6</span>), <span class="comment">// 29</span>
( <span class="number">729000000</span>, <span class="number">6</span>), <span class="comment">// 30</span>
( <span class="number">887503681</span>, <span class="number">6</span>), <span class="comment">// 31</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 32</span>
(<span class="number">1291467969</span>, <span class="number">6</span>), <span class="comment">// 33</span>
(<span class="number">1544804416</span>, <span class="number">6</span>), <span class="comment">// 34</span>
(<span class="number">1838265625</span>, <span class="number">6</span>), <span class="comment">// 35</span>
(<span class="number">2176782336</span>, <span class="number">6</span>), <span class="comment">// 36</span>
(<span class="number">2565726409</span>, <span class="number">6</span>), <span class="comment">// 37</span>
(<span class="number">3010936384</span>, <span class="number">6</span>), <span class="comment">// 38</span>
(<span class="number">3518743761</span>, <span class="number">6</span>), <span class="comment">// 39</span>
(<span class="number">4096000000</span>, <span class="number">6</span>), <span class="comment">// 40</span>
( <span class="number">115856201</span>, <span class="number">5</span>), <span class="comment">// 41</span>
( <span class="number">130691232</span>, <span class="number">5</span>), <span class="comment">// 42</span>
( <span class="number">147008443</span>, <span class="number">5</span>), <span class="comment">// 43</span>
( <span class="number">164916224</span>, <span class="number">5</span>), <span class="comment">// 44</span>
( <span class="number">184528125</span>, <span class="number">5</span>), <span class="comment">// 45</span>
( <span class="number">205962976</span>, <span class="number">5</span>), <span class="comment">// 46</span>
( <span class="number">229345007</span>, <span class="number">5</span>), <span class="comment">// 47</span>
( <span class="number">254803968</span>, <span class="number">5</span>), <span class="comment">// 48</span>
( <span class="number">282475249</span>, <span class="number">5</span>), <span class="comment">// 49</span>
( <span class="number">312500000</span>, <span class="number">5</span>), <span class="comment">// 50</span>
( <span class="number">345025251</span>, <span class="number">5</span>), <span class="comment">// 51</span>
( <span class="number">380204032</span>, <span class="number">5</span>), <span class="comment">// 52</span>
( <span class="number">418195493</span>, <span class="number">5</span>), <span class="comment">// 53</span>
( <span class="number">459165024</span>, <span class="number">5</span>), <span class="comment">// 54</span>
( <span class="number">503284375</span>, <span class="number">5</span>), <span class="comment">// 55</span>
( <span class="number">550731776</span>, <span class="number">5</span>), <span class="comment">// 56</span>
( <span class="number">601692057</span>, <span class="number">5</span>), <span class="comment">// 57</span>
( <span class="number">656356768</span>, <span class="number">5</span>), <span class="comment">// 58</span>
( <span class="number">714924299</span>, <span class="number">5</span>), <span class="comment">// 59</span>
( <span class="number">777600000</span>, <span class="number">5</span>), <span class="comment">// 60</span>
( <span class="number">844596301</span>, <span class="number">5</span>), <span class="comment">// 61</span>
( <span class="number">916132832</span>, <span class="number">5</span>), <span class="comment">// 62</span>
( <span class="number">992436543</span>, <span class="number">5</span>), <span class="comment">// 63</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 64</span>
(<span class="number">1160290625</span>, <span class="number">5</span>), <span class="comment">// 65</span>
(<span class="number">1252332576</span>, <span class="number">5</span>), <span class="comment">// 66</span>
(<span class="number">1350125107</span>, <span class="number">5</span>), <span class="comment">// 67</span>
(<span class="number">1453933568</span>, <span class="number">5</span>), <span class="comment">// 68</span>
(<span class="number">1564031349</span>, <span class="number">5</span>), <span class="comment">// 69</span>
(<span class="number">1680700000</span>, <span class="number">5</span>), <span class="comment">// 70</span>
(<span class="number">1804229351</span>, <span class="number">5</span>), <span class="comment">// 71</span>
(<span class="number">1934917632</span>, <span class="number">5</span>), <span class="comment">// 72</span>
(<span class="number">2073071593</span>, <span class="number">5</span>), <span class="comment">// 73</span>
(<span class="number">2219006624</span>, <span class="number">5</span>), <span class="comment">// 74</span>
(<span class="number">2373046875</span>, <span class="number">5</span>), <span class="comment">// 75</span>
(<span class="number">2535525376</span>, <span class="number">5</span>), <span class="comment">// 76</span>
(<span class="number">2706784157</span>, <span class="number">5</span>), <span class="comment">// 77</span>
(<span class="number">2887174368</span>, <span class="number">5</span>), <span class="comment">// 78</span>
(<span class="number">3077056399</span>, <span class="number">5</span>), <span class="comment">// 79</span>
(<span class="number">3276800000</span>, <span class="number">5</span>), <span class="comment">// 80</span>
(<span class="number">3486784401</span>, <span class="number">5</span>), <span class="comment">// 81</span>
(<span class="number">3707398432</span>, <span class="number">5</span>), <span class="comment">// 82</span>
(<span class="number">3939040643</span>, <span class="number">5</span>), <span class="comment">// 83</span>
(<span class="number">4182119424</span>, <span class="number">5</span>), <span class="comment">// 84</span>
( <span class="number">52200625</span>, <span class="number">4</span>), <span class="comment">// 85</span>
( <span class="number">54700816</span>, <span class="number">4</span>), <span class="comment">// 86</span>
( <span class="number">57289761</span>, <span class="number">4</span>), <span class="comment">// 87</span>
( <span class="number">59969536</span>, <span class="number">4</span>), <span class="comment">// 88</span>
( <span class="number">62742241</span>, <span class="number">4</span>), <span class="comment">// 89</span>
( <span class="number">65610000</span>, <span class="number">4</span>), <span class="comment">// 90</span>
( <span class="number">68574961</span>, <span class="number">4</span>), <span class="comment">// 91</span>
( <span class="number">71639296</span>, <span class="number">4</span>), <span class="comment">// 92</span>
( <span class="number">74805201</span>, <span class="number">4</span>), <span class="comment">// 93</span>
( <span class="number">78074896</span>, <span class="number">4</span>), <span class="comment">// 94</span>
( <span class="number">81450625</span>, <span class="number">4</span>), <span class="comment">// 95</span>
( <span class="number">84934656</span>, <span class="number">4</span>), <span class="comment">// 96</span>
( <span class="number">88529281</span>, <span class="number">4</span>), <span class="comment">// 97</span>
( <span class="number">92236816</span>, <span class="number">4</span>), <span class="comment">// 98</span>
( <span class="number">96059601</span>, <span class="number">4</span>), <span class="comment">// 99</span>
( <span class="number">100000000</span>, <span class="number">4</span>), <span class="comment">// 100</span>
( <span class="number">104060401</span>, <span class="number">4</span>), <span class="comment">// 101</span>
( <span class="number">108243216</span>, <span class="number">4</span>), <span class="comment">// 102</span>
( <span class="number">112550881</span>, <span class="number">4</span>), <span class="comment">// 103</span>
( <span class="number">116985856</span>, <span class="number">4</span>), <span class="comment">// 104</span>
( <span class="number">121550625</span>, <span class="number">4</span>), <span class="comment">// 105</span>
( <span class="number">126247696</span>, <span class="number">4</span>), <span class="comment">// 106</span>
( <span class="number">131079601</span>, <span class="number">4</span>), <span class="comment">// 107</span>
( <span class="number">136048896</span>, <span class="number">4</span>), <span class="comment">// 108</span>
( <span class="number">141158161</span>, <span class="number">4</span>), <span class="comment">// 109</span>
( <span class="number">146410000</span>, <span class="number">4</span>), <span class="comment">// 110</span>
( <span class="number">151807041</span>, <span class="number">4</span>), <span class="comment">// 111</span>
( <span class="number">157351936</span>, <span class="number">4</span>), <span class="comment">// 112</span>
( <span class="number">163047361</span>, <span class="number">4</span>), <span class="comment">// 113</span>
( <span class="number">168896016</span>, <span class="number">4</span>), <span class="comment">// 114</span>
( <span class="number">174900625</span>, <span class="number">4</span>), <span class="comment">// 115</span>
( <span class="number">181063936</span>, <span class="number">4</span>), <span class="comment">// 116</span>
( <span class="number">187388721</span>, <span class="number">4</span>), <span class="comment">// 117</span>
( <span class="number">193877776</span>, <span class="number">4</span>), <span class="comment">// 118</span>
( <span class="number">200533921</span>, <span class="number">4</span>), <span class="comment">// 119</span>
( <span class="number">207360000</span>, <span class="number">4</span>), <span class="comment">// 120</span>
( <span class="number">214358881</span>, <span class="number">4</span>), <span class="comment">// 121</span>
( <span class="number">221533456</span>, <span class="number">4</span>), <span class="comment">// 122</span>
( <span class="number">228886641</span>, <span class="number">4</span>), <span class="comment">// 123</span>
( <span class="number">236421376</span>, <span class="number">4</span>), <span class="comment">// 124</span>
( <span class="number">244140625</span>, <span class="number">4</span>), <span class="comment">// 125</span>
( <span class="number">252047376</span>, <span class="number">4</span>), <span class="comment">// 126</span>
( <span class="number">260144641</span>, <span class="number">4</span>), <span class="comment">// 127</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 128</span>
( <span class="number">276922881</span>, <span class="number">4</span>), <span class="comment">// 129</span>
( <span class="number">285610000</span>, <span class="number">4</span>), <span class="comment">// 130</span>
( <span class="number">294499921</span>, <span class="number">4</span>), <span class="comment">// 131</span>
( <span class="number">303595776</span>, <span class="number">4</span>), <span class="comment">// 132</span>
( <span class="number">312900721</span>, <span class="number">4</span>), <span class="comment">// 133</span>
( <span class="number">322417936</span>, <span class="number">4</span>), <span class="comment">// 134</span>
( <span class="number">332150625</span>, <span class="number">4</span>), <span class="comment">// 135</span>
( <span class="number">342102016</span>, <span class="number">4</span>), <span class="comment">// 136</span>
( <span class="number">352275361</span>, <span class="number">4</span>), <span class="comment">// 137</span>
( <span class="number">362673936</span>, <span class="number">4</span>), <span class="comment">// 138</span>
( <span class="number">373301041</span>, <span class="number">4</span>), <span class="comment">// 139</span>
( <span class="number">384160000</span>, <span class="number">4</span>), <span class="comment">// 140</span>
( <span class="number">395254161</span>, <span class="number">4</span>), <span class="comment">// 141</span>
( <span class="number">406586896</span>, <span class="number">4</span>), <span class="comment">// 142</span>
( <span class="number">418161601</span>, <span class="number">4</span>), <span class="comment">// 143</span>
( <span class="number">429981696</span>, <span class="number">4</span>), <span class="comment">// 144</span>
( <span class="number">442050625</span>, <span class="number">4</span>), <span class="comment">// 145</span>
( <span class="number">454371856</span>, <span class="number">4</span>), <span class="comment">// 146</span>
( <span class="number">466948881</span>, <span class="number">4</span>), <span class="comment">// 147</span>
( <span class="number">479785216</span>, <span class="number">4</span>), <span class="comment">// 148</span>
( <span class="number">492884401</span>, <span class="number">4</span>), <span class="comment">// 149</span>
( <span class="number">506250000</span>, <span class="number">4</span>), <span class="comment">// 150</span>
( <span class="number">519885601</span>, <span class="number">4</span>), <span class="comment">// 151</span>
( <span class="number">533794816</span>, <span class="number">4</span>), <span class="comment">// 152</span>
( <span class="number">547981281</span>, <span class="number">4</span>), <span class="comment">// 153</span>
( <span class="number">562448656</span>, <span class="number">4</span>), <span class="comment">// 154</span>
( <span class="number">577200625</span>, <span class="number">4</span>), <span class="comment">// 155</span>
( <span class="number">592240896</span>, <span class="number">4</span>), <span class="comment">// 156</span>
( <span class="number">607573201</span>, <span class="number">4</span>), <span class="comment">// 157</span>
( <span class="number">623201296</span>, <span class="number">4</span>), <span class="comment">// 158</span>
( <span class="number">639128961</span>, <span class="number">4</span>), <span class="comment">// 159</span>
( <span class="number">655360000</span>, <span class="number">4</span>), <span class="comment">// 160</span>
( <span class="number">671898241</span>, <span class="number">4</span>), <span class="comment">// 161</span>
( <span class="number">688747536</span>, <span class="number">4</span>), <span class="comment">// 162</span>
( <span class="number">705911761</span>, <span class="number">4</span>), <span class="comment">// 163</span>
( <span class="number">723394816</span>, <span class="number">4</span>), <span class="comment">// 164</span>
( <span class="number">741200625</span>, <span class="number">4</span>), <span class="comment">// 165</span>
( <span class="number">759333136</span>, <span class="number">4</span>), <span class="comment">// 166</span>
( <span class="number">777796321</span>, <span class="number">4</span>), <span class="comment">// 167</span>
( <span class="number">796594176</span>, <span class="number">4</span>), <span class="comment">// 168</span>
( <span class="number">815730721</span>, <span class="number">4</span>), <span class="comment">// 169</span>
( <span class="number">835210000</span>, <span class="number">4</span>), <span class="comment">// 170</span>
( <span class="number">855036081</span>, <span class="number">4</span>), <span class="comment">// 171</span>
( <span class="number">875213056</span>, <span class="number">4</span>), <span class="comment">// 172</span>
( <span class="number">895745041</span>, <span class="number">4</span>), <span class="comment">// 173</span>
( <span class="number">916636176</span>, <span class="number">4</span>), <span class="comment">// 174</span>
( <span class="number">937890625</span>, <span class="number">4</span>), <span class="comment">// 175</span>
( <span class="number">959512576</span>, <span class="number">4</span>), <span class="comment">// 176</span>
( <span class="number">981506241</span>, <span class="number">4</span>), <span class="comment">// 177</span>
(<span class="number">1003875856</span>, <span class="number">4</span>), <span class="comment">// 178</span>
(<span class="number">1026625681</span>, <span class="number">4</span>), <span class="comment">// 179</span>
(<span class="number">1049760000</span>, <span class="number">4</span>), <span class="comment">// 180</span>
(<span class="number">1073283121</span>, <span class="number">4</span>), <span class="comment">// 181</span>
(<span class="number">1097199376</span>, <span class="number">4</span>), <span class="comment">// 182</span>
(<span class="number">1121513121</span>, <span class="number">4</span>), <span class="comment">// 183</span>
(<span class="number">1146228736</span>, <span class="number">4</span>), <span class="comment">// 184</span>
(<span class="number">1171350625</span>, <span class="number">4</span>), <span class="comment">// 185</span>
(<span class="number">1196883216</span>, <span class="number">4</span>), <span class="comment">// 186</span>
(<span class="number">1222830961</span>, <span class="number">4</span>), <span class="comment">// 187</span>
(<span class="number">1249198336</span>, <span class="number">4</span>), <span class="comment">// 188</span>
(<span class="number">1275989841</span>, <span class="number">4</span>), <span class="comment">// 189</span>
(<span class="number">1303210000</span>, <span class="number">4</span>), <span class="comment">// 190</span>
(<span class="number">1330863361</span>, <span class="number">4</span>), <span class="comment">// 191</span>
(<span class="number">1358954496</span>, <span class="number">4</span>), <span class="comment">// 192</span>
(<span class="number">1387488001</span>, <span class="number">4</span>), <span class="comment">// 193</span>
(<span class="number">1416468496</span>, <span class="number">4</span>), <span class="comment">// 194</span>
(<span class="number">1445900625</span>, <span class="number">4</span>), <span class="comment">// 195</span>
(<span class="number">1475789056</span>, <span class="number">4</span>), <span class="comment">// 196</span>
(<span class="number">1506138481</span>, <span class="number">4</span>), <span class="comment">// 197</span>
(<span class="number">1536953616</span>, <span class="number">4</span>), <span class="comment">// 198</span>
(<span class="number">1568239201</span>, <span class="number">4</span>), <span class="comment">// 199</span>
(<span class="number">1600000000</span>, <span class="number">4</span>), <span class="comment">// 200</span>
(<span class="number">1632240801</span>, <span class="number">4</span>), <span class="comment">// 201</span>
(<span class="number">1664966416</span>, <span class="number">4</span>), <span class="comment">// 202</span>
(<span class="number">1698181681</span>, <span class="number">4</span>), <span class="comment">// 203</span>
(<span class="number">1731891456</span>, <span class="number">4</span>), <span class="comment">// 204</span>
(<span class="number">1766100625</span>, <span class="number">4</span>), <span class="comment">// 205</span>
(<span class="number">1800814096</span>, <span class="number">4</span>), <span class="comment">// 206</span>
(<span class="number">1836036801</span>, <span class="number">4</span>), <span class="comment">// 207</span>
(<span class="number">1871773696</span>, <span class="number">4</span>), <span class="comment">// 208</span>
(<span class="number">1908029761</span>, <span class="number">4</span>), <span class="comment">// 209</span>
(<span class="number">1944810000</span>, <span class="number">4</span>), <span class="comment">// 210</span>
(<span class="number">1982119441</span>, <span class="number">4</span>), <span class="comment">// 211</span>
(<span class="number">2019963136</span>, <span class="number">4</span>), <span class="comment">// 212</span>
(<span class="number">2058346161</span>, <span class="number">4</span>), <span class="comment">// 213</span>
(<span class="number">2097273616</span>, <span class="number">4</span>), <span class="comment">// 214</span>
(<span class="number">2136750625</span>, <span class="number">4</span>), <span class="comment">// 215</span>
(<span class="number">2176782336</span>, <span class="number">4</span>), <span class="comment">// 216</span>
(<span class="number">2217373921</span>, <span class="number">4</span>), <span class="comment">// 217</span>
(<span class="number">2258530576</span>, <span class="number">4</span>), <span class="comment">// 218</span>
(<span class="number">2300257521</span>, <span class="number">4</span>), <span class="comment">// 219</span>
(<span class="number">2342560000</span>, <span class="number">4</span>), <span class="comment">// 220</span>
(<span class="number">2385443281</span>, <span class="number">4</span>), <span class="comment">// 221</span>
(<span class="number">2428912656</span>, <span class="number">4</span>), <span class="comment">// 222</span>
(<span class="number">2472973441</span>, <span class="number">4</span>), <span class="comment">// 223</span>
(<span class="number">2517630976</span>, <span class="number">4</span>), <span class="comment">// 224</span>
(<span class="number">2562890625</span>, <span class="number">4</span>), <span class="comment">// 225</span>
(<span class="number">2608757776</span>, <span class="number">4</span>), <span class="comment">// 226</span>
(<span class="number">2655237841</span>, <span class="number">4</span>), <span class="comment">// 227</span>
(<span class="number">2702336256</span>, <span class="number">4</span>), <span class="comment">// 228</span>
(<span class="number">2750058481</span>, <span class="number">4</span>), <span class="comment">// 229</span>
(<span class="number">2798410000</span>, <span class="number">4</span>), <span class="comment">// 230</span>
(<span class="number">2847396321</span>, <span class="number">4</span>), <span class="comment">// 231</span>
(<span class="number">2897022976</span>, <span class="number">4</span>), <span class="comment">// 232</span>
(<span class="number">2947295521</span>, <span class="number">4</span>), <span class="comment">// 233</span>
(<span class="number">2998219536</span>, <span class="number">4</span>), <span class="comment">// 234</span>
(<span class="number">3049800625</span>, <span class="number">4</span>), <span class="comment">// 235</span>
(<span class="number">3102044416</span>, <span class="number">4</span>), <span class="comment">// 236</span>
(<span class="number">3154956561</span>, <span class="number">4</span>), <span class="comment">// 237</span>
(<span class="number">3208542736</span>, <span class="number">4</span>), <span class="comment">// 238</span>
(<span class="number">3262808641</span>, <span class="number">4</span>), <span class="comment">// 239</span>
(<span class="number">3317760000</span>, <span class="number">4</span>), <span class="comment">// 240</span>
(<span class="number">3373402561</span>, <span class="number">4</span>), <span class="comment">// 241</span>
(<span class="number">3429742096</span>, <span class="number">4</span>), <span class="comment">// 242</span>
(<span class="number">3486784401</span>, <span class="number">4</span>), <span class="comment">// 243</span>
(<span class="number">3544535296</span>, <span class="number">4</span>), <span class="comment">// 244</span>
(<span class="number">3603000625</span>, <span class="number">4</span>), <span class="comment">// 245</span>
(<span class="number">3662186256</span>, <span class="number">4</span>), <span class="comment">// 246</span>
(<span class="number">3722098081</span>, <span class="number">4</span>), <span class="comment">// 247</span>
(<span class="number">3782742016</span>, <span class="number">4</span>), <span class="comment">// 248</span>
(<span class="number">3844124001</span>, <span class="number">4</span>), <span class="comment">// 249</span>
(<span class="number">3906250000</span>, <span class="number">4</span>), <span class="comment">// 250</span>
(<span class="number">3969126001</span>, <span class="number">4</span>), <span class="comment">// 251</span>
(<span class="number">4032758016</span>, <span class="number">4</span>), <span class="comment">// 252</span>
(<span class="number">4097152081</span>, <span class="number">4</span>), <span class="comment">// 253</span>
(<span class="number">4162314256</span>, <span class="number">4</span>), <span class="comment">// 254</span>
(<span class="number">4228250625</span>, <span class="number">4</span>), <span class="comment">// 255</span>
( <span class="number">0</span>, <span class="number">0</span>), <span class="comment">// 256</span>
];
<span class="kw">let</span> (<span class="ident">base</span>, <span class="ident">power</span>) <span class="op">=</span> <span class="ident">BASES</span>[<span class="ident">radix</span> <span class="kw">as</span> <span class="ident">usize</span>];
(<span class="ident">base</span> <span class="kw">as</span> <span class="ident">BigDigit</span>, <span class="ident">power</span>)
}
<span class="number">64</span> <span class="op">=</span><span class="op">></span> {
<span class="kw">const</span> <span class="ident">BASES</span>: [(<span class="ident">u64</span>, <span class="ident">usize</span>); <span class="number">257</span>] <span class="op">=</span> [
( <span class="number">0</span>, <span class="number">0</span>),
( <span class="number">0</span>, <span class="number">0</span>),
( <span class="number">9223372036854775808</span>, <span class="number">63</span>), <span class="comment">// 2</span>
(<span class="number">12157665459056928801</span>, <span class="number">40</span>), <span class="comment">// 3</span>
( <span class="number">4611686018427387904</span>, <span class="number">31</span>), <span class="comment">// 4</span>
( <span class="number">7450580596923828125</span>, <span class="number">27</span>), <span class="comment">// 5</span>
( <span class="number">4738381338321616896</span>, <span class="number">24</span>), <span class="comment">// 6</span>
( <span class="number">3909821048582988049</span>, <span class="number">22</span>), <span class="comment">// 7</span>
( <span class="number">9223372036854775808</span>, <span class="number">21</span>), <span class="comment">// 8</span>
(<span class="number">12157665459056928801</span>, <span class="number">20</span>), <span class="comment">// 9</span>
(<span class="number">10000000000000000000</span>, <span class="number">19</span>), <span class="comment">// 10</span>
( <span class="number">5559917313492231481</span>, <span class="number">18</span>), <span class="comment">// 11</span>
( <span class="number">2218611106740436992</span>, <span class="number">17</span>), <span class="comment">// 12</span>
( <span class="number">8650415919381337933</span>, <span class="number">17</span>), <span class="comment">// 13</span>
( <span class="number">2177953337809371136</span>, <span class="number">16</span>), <span class="comment">// 14</span>
( <span class="number">6568408355712890625</span>, <span class="number">16</span>), <span class="comment">// 15</span>
( <span class="number">1152921504606846976</span>, <span class="number">15</span>), <span class="comment">// 16</span>
( <span class="number">2862423051509815793</span>, <span class="number">15</span>), <span class="comment">// 17</span>
( <span class="number">6746640616477458432</span>, <span class="number">15</span>), <span class="comment">// 18</span>
(<span class="number">15181127029874798299</span>, <span class="number">15</span>), <span class="comment">// 19</span>
( <span class="number">1638400000000000000</span>, <span class="number">14</span>), <span class="comment">// 20</span>
( <span class="number">3243919932521508681</span>, <span class="number">14</span>), <span class="comment">// 21</span>
( <span class="number">6221821273427820544</span>, <span class="number">14</span>), <span class="comment">// 22</span>
(<span class="number">11592836324538749809</span>, <span class="number">14</span>), <span class="comment">// 23</span>
( <span class="number">876488338465357824</span>, <span class="number">13</span>), <span class="comment">// 24</span>
( <span class="number">1490116119384765625</span>, <span class="number">13</span>), <span class="comment">// 25</span>
( <span class="number">2481152873203736576</span>, <span class="number">13</span>), <span class="comment">// 26</span>
( <span class="number">4052555153018976267</span>, <span class="number">13</span>), <span class="comment">// 27</span>
( <span class="number">6502111422497947648</span>, <span class="number">13</span>), <span class="comment">// 28</span>
(<span class="number">10260628712958602189</span>, <span class="number">13</span>), <span class="comment">// 29</span>
(<span class="number">15943230000000000000</span>, <span class="number">13</span>), <span class="comment">// 30</span>
( <span class="number">787662783788549761</span>, <span class="number">12</span>), <span class="comment">// 31</span>
( <span class="number">1152921504606846976</span>, <span class="number">12</span>), <span class="comment">// 32</span>
( <span class="number">1667889514952984961</span>, <span class="number">12</span>), <span class="comment">// 33</span>
( <span class="number">2386420683693101056</span>, <span class="number">12</span>), <span class="comment">// 34</span>
( <span class="number">3379220508056640625</span>, <span class="number">12</span>), <span class="comment">// 35</span>
( <span class="number">4738381338321616896</span>, <span class="number">12</span>), <span class="comment">// 36</span>
( <span class="number">6582952005840035281</span>, <span class="number">12</span>), <span class="comment">// 37</span>
( <span class="number">9065737908494995456</span>, <span class="number">12</span>), <span class="comment">// 38</span>
(<span class="number">12381557655576425121</span>, <span class="number">12</span>), <span class="comment">// 39</span>
(<span class="number">16777216000000000000</span>, <span class="number">12</span>), <span class="comment">// 40</span>
( <span class="number">550329031716248441</span>, <span class="number">11</span>), <span class="comment">// 41</span>
( <span class="number">717368321110468608</span>, <span class="number">11</span>), <span class="comment">// 42</span>
( <span class="number">929293739471222707</span>, <span class="number">11</span>), <span class="comment">// 43</span>
( <span class="number">1196683881290399744</span>, <span class="number">11</span>), <span class="comment">// 44</span>
( <span class="number">1532278301220703125</span>, <span class="number">11</span>), <span class="comment">// 45</span>
( <span class="number">1951354384207722496</span>, <span class="number">11</span>), <span class="comment">// 46</span>
( <span class="number">2472159215084012303</span>, <span class="number">11</span>), <span class="comment">// 47</span>
( <span class="number">3116402981210161152</span>, <span class="number">11</span>), <span class="comment">// 48</span>
( <span class="number">3909821048582988049</span>, <span class="number">11</span>), <span class="comment">// 49</span>
( <span class="number">4882812500000000000</span>, <span class="number">11</span>), <span class="comment">// 50</span>
( <span class="number">6071163615208263051</span>, <span class="number">11</span>), <span class="comment">// 51</span>
( <span class="number">7516865509350965248</span>, <span class="number">11</span>), <span class="comment">// 52</span>
( <span class="number">9269035929372191597</span>, <span class="number">11</span>), <span class="comment">// 53</span>
(<span class="number">11384956040305711104</span>, <span class="number">11</span>), <span class="comment">// 54</span>
(<span class="number">13931233916552734375</span>, <span class="number">11</span>), <span class="comment">// 55</span>
(<span class="number">16985107389382393856</span>, <span class="number">11</span>), <span class="comment">// 56</span>
( <span class="number">362033331456891249</span>, <span class="number">10</span>), <span class="comment">// 57</span>
( <span class="number">430804206899405824</span>, <span class="number">10</span>), <span class="comment">// 58</span>
( <span class="number">511116753300641401</span>, <span class="number">10</span>), <span class="comment">// 59</span>
( <span class="number">604661760000000000</span>, <span class="number">10</span>), <span class="comment">// 60</span>
( <span class="number">713342911662882601</span>, <span class="number">10</span>), <span class="comment">// 61</span>
( <span class="number">839299365868340224</span>, <span class="number">10</span>), <span class="comment">// 62</span>
( <span class="number">984930291881790849</span>, <span class="number">10</span>), <span class="comment">// 63</span>
( <span class="number">1152921504606846976</span>, <span class="number">10</span>), <span class="comment">// 64</span>
( <span class="number">1346274334462890625</span>, <span class="number">10</span>), <span class="comment">// 65</span>
( <span class="number">1568336880910795776</span>, <span class="number">10</span>), <span class="comment">// 66</span>
( <span class="number">1822837804551761449</span>, <span class="number">10</span>), <span class="comment">// 67</span>
( <span class="number">2113922820157210624</span>, <span class="number">10</span>), <span class="comment">// 68</span>
( <span class="number">2446194060654759801</span>, <span class="number">10</span>), <span class="comment">// 69</span>
( <span class="number">2824752490000000000</span>, <span class="number">10</span>), <span class="comment">// 70</span>
( <span class="number">3255243551009881201</span>, <span class="number">10</span>), <span class="comment">// 71</span>
( <span class="number">3743906242624487424</span>, <span class="number">10</span>), <span class="comment">// 72</span>
( <span class="number">4297625829703557649</span>, <span class="number">10</span>), <span class="comment">// 73</span>
( <span class="number">4923990397355877376</span>, <span class="number">10</span>), <span class="comment">// 74</span>
( <span class="number">5631351470947265625</span>, <span class="number">10</span>), <span class="comment">// 75</span>
( <span class="number">6428888932339941376</span>, <span class="number">10</span>), <span class="comment">// 76</span>
( <span class="number">7326680472586200649</span>, <span class="number">10</span>), <span class="comment">// 77</span>
( <span class="number">8335775831236199424</span>, <span class="number">10</span>), <span class="comment">// 78</span>
( <span class="number">9468276082626847201</span>, <span class="number">10</span>), <span class="comment">// 79</span>
(<span class="number">10737418240000000000</span>, <span class="number">10</span>), <span class="comment">// 80</span>
(<span class="number">12157665459056928801</span>, <span class="number">10</span>), <span class="comment">// 81</span>
(<span class="number">13744803133596058624</span>, <span class="number">10</span>), <span class="comment">// 82</span>
(<span class="number">15516041187205853449</span>, <span class="number">10</span>), <span class="comment">// 83</span>
(<span class="number">17490122876598091776</span>, <span class="number">10</span>), <span class="comment">// 84</span>
( <span class="number">231616946283203125</span>, <span class="number">9</span>), <span class="comment">// 85</span>
( <span class="number">257327417311663616</span>, <span class="number">9</span>), <span class="comment">// 86</span>
( <span class="number">285544154243029527</span>, <span class="number">9</span>), <span class="comment">// 87</span>
( <span class="number">316478381828866048</span>, <span class="number">9</span>), <span class="comment">// 88</span>
( <span class="number">350356403707485209</span>, <span class="number">9</span>), <span class="comment">// 89</span>
( <span class="number">387420489000000000</span>, <span class="number">9</span>), <span class="comment">// 90</span>
( <span class="number">427929800129788411</span>, <span class="number">9</span>), <span class="comment">// 91</span>
( <span class="number">472161363286556672</span>, <span class="number">9</span>), <span class="comment">// 92</span>
( <span class="number">520411082988487293</span>, <span class="number">9</span>), <span class="comment">// 93</span>
( <span class="number">572994802228616704</span>, <span class="number">9</span>), <span class="comment">// 94</span>
( <span class="number">630249409724609375</span>, <span class="number">9</span>), <span class="comment">// 95</span>
( <span class="number">692533995824480256</span>, <span class="number">9</span>), <span class="comment">// 96</span>
( <span class="number">760231058654565217</span>, <span class="number">9</span>), <span class="comment">// 97</span>
( <span class="number">833747762130149888</span>, <span class="number">9</span>), <span class="comment">// 98</span>
( <span class="number">913517247483640899</span>, <span class="number">9</span>), <span class="comment">// 99</span>
( <span class="number">1000000000000000000</span>, <span class="number">9</span>), <span class="comment">// 100</span>
( <span class="number">1093685272684360901</span>, <span class="number">9</span>), <span class="comment">// 101</span>
( <span class="number">1195092568622310912</span>, <span class="number">9</span>), <span class="comment">// 102</span>
( <span class="number">1304773183829244583</span>, <span class="number">9</span>), <span class="comment">// 103</span>
( <span class="number">1423311812421484544</span>, <span class="number">9</span>), <span class="comment">// 104</span>
( <span class="number">1551328215978515625</span>, <span class="number">9</span>), <span class="comment">// 105</span>
( <span class="number">1689478959002692096</span>, <span class="number">9</span>), <span class="comment">// 106</span>
( <span class="number">1838459212420154507</span>, <span class="number">9</span>), <span class="comment">// 107</span>
( <span class="number">1999004627104432128</span>, <span class="number">9</span>), <span class="comment">// 108</span>
( <span class="number">2171893279442309389</span>, <span class="number">9</span>), <span class="comment">// 109</span>
( <span class="number">2357947691000000000</span>, <span class="number">9</span>), <span class="comment">// 110</span>
( <span class="number">2558036924386500591</span>, <span class="number">9</span>), <span class="comment">// 111</span>
( <span class="number">2773078757450186752</span>, <span class="number">9</span>), <span class="comment">// 112</span>
( <span class="number">3004041937984268273</span>, <span class="number">9</span>), <span class="comment">// 113</span>
( <span class="number">3251948521156637184</span>, <span class="number">9</span>), <span class="comment">// 114</span>
( <span class="number">3517876291919921875</span>, <span class="number">9</span>), <span class="comment">// 115</span>
( <span class="number">3802961274698203136</span>, <span class="number">9</span>), <span class="comment">// 116</span>
( <span class="number">4108400332687853397</span>, <span class="number">9</span>), <span class="comment">// 117</span>
( <span class="number">4435453859151328768</span>, <span class="number">9</span>), <span class="comment">// 118</span>
( <span class="number">4785448563124474679</span>, <span class="number">9</span>), <span class="comment">// 119</span>
( <span class="number">5159780352000000000</span>, <span class="number">9</span>), <span class="comment">// 120</span>
( <span class="number">5559917313492231481</span>, <span class="number">9</span>), <span class="comment">// 121</span>
( <span class="number">5987402799531080192</span>, <span class="number">9</span>), <span class="comment">// 122</span>
( <span class="number">6443858614676334363</span>, <span class="number">9</span>), <span class="comment">// 123</span>
( <span class="number">6930988311686938624</span>, <span class="number">9</span>), <span class="comment">// 124</span>
( <span class="number">7450580596923828125</span>, <span class="number">9</span>), <span class="comment">// 125</span>
( <span class="number">8004512848309157376</span>, <span class="number">9</span>), <span class="comment">// 126</span>
( <span class="number">8594754748609397887</span>, <span class="number">9</span>), <span class="comment">// 127</span>
( <span class="number">9223372036854775808</span>, <span class="number">9</span>), <span class="comment">// 128</span>
( <span class="number">9892530380752880769</span>, <span class="number">9</span>), <span class="comment">// 129</span>
(<span class="number">10604499373000000000</span>, <span class="number">9</span>), <span class="comment">// 130</span>
(<span class="number">11361656654439817571</span>, <span class="number">9</span>), <span class="comment">// 131</span>
(<span class="number">12166492167065567232</span>, <span class="number">9</span>), <span class="comment">// 132</span>
(<span class="number">13021612539908538853</span>, <span class="number">9</span>), <span class="comment">// 133</span>
(<span class="number">13929745610903012864</span>, <span class="number">9</span>), <span class="comment">// 134</span>
(<span class="number">14893745087865234375</span>, <span class="number">9</span>), <span class="comment">// 135</span>
(<span class="number">15916595351771938816</span>, <span class="number">9</span>), <span class="comment">// 136</span>
(<span class="number">17001416405572203977</span>, <span class="number">9</span>), <span class="comment">// 137</span>
(<span class="number">18151468971815029248</span>, <span class="number">9</span>), <span class="comment">// 138</span>
( <span class="number">139353667211683681</span>, <span class="number">8</span>), <span class="comment">// 139</span>
( <span class="number">147578905600000000</span>, <span class="number">8</span>), <span class="comment">// 140</span>
( <span class="number">156225851787813921</span>, <span class="number">8</span>), <span class="comment">// 141</span>
( <span class="number">165312903998914816</span>, <span class="number">8</span>), <span class="comment">// 142</span>
( <span class="number">174859124550883201</span>, <span class="number">8</span>), <span class="comment">// 143</span>
( <span class="number">184884258895036416</span>, <span class="number">8</span>), <span class="comment">// 144</span>
( <span class="number">195408755062890625</span>, <span class="number">8</span>), <span class="comment">// 145</span>
( <span class="number">206453783524884736</span>, <span class="number">8</span>), <span class="comment">// 146</span>
( <span class="number">218041257467152161</span>, <span class="number">8</span>), <span class="comment">// 147</span>
( <span class="number">230193853492166656</span>, <span class="number">8</span>), <span class="comment">// 148</span>
( <span class="number">242935032749128801</span>, <span class="number">8</span>), <span class="comment">// 149</span>
( <span class="number">256289062500000000</span>, <span class="number">8</span>), <span class="comment">// 150</span>
( <span class="number">270281038127131201</span>, <span class="number">8</span>), <span class="comment">// 151</span>
( <span class="number">284936905588473856</span>, <span class="number">8</span>), <span class="comment">// 152</span>
( <span class="number">300283484326400961</span>, <span class="number">8</span>), <span class="comment">// 153</span>
( <span class="number">316348490636206336</span>, <span class="number">8</span>), <span class="comment">// 154</span>
( <span class="number">333160561500390625</span>, <span class="number">8</span>), <span class="comment">// 155</span>
( <span class="number">350749278894882816</span>, <span class="number">8</span>), <span class="comment">// 156</span>
( <span class="number">369145194573386401</span>, <span class="number">8</span>), <span class="comment">// 157</span>
( <span class="number">388379855336079616</span>, <span class="number">8</span>), <span class="comment">// 158</span>
( <span class="number">408485828788939521</span>, <span class="number">8</span>), <span class="comment">// 159</span>
( <span class="number">429496729600000000</span>, <span class="number">8</span>), <span class="comment">// 160</span>
( <span class="number">451447246258894081</span>, <span class="number">8</span>), <span class="comment">// 161</span>
( <span class="number">474373168346071296</span>, <span class="number">8</span>), <span class="comment">// 162</span>
( <span class="number">498311414318121121</span>, <span class="number">8</span>), <span class="comment">// 163</span>
( <span class="number">523300059815673856</span>, <span class="number">8</span>), <span class="comment">// 164</span>
( <span class="number">549378366500390625</span>, <span class="number">8</span>), <span class="comment">// 165</span>
( <span class="number">576586811427594496</span>, <span class="number">8</span>), <span class="comment">// 166</span>
( <span class="number">604967116961135041</span>, <span class="number">8</span>), <span class="comment">// 167</span>
( <span class="number">634562281237118976</span>, <span class="number">8</span>), <span class="comment">// 168</span>
( <span class="number">665416609183179841</span>, <span class="number">8</span>), <span class="comment">// 169</span>
( <span class="number">697575744100000000</span>, <span class="number">8</span>), <span class="comment">// 170</span>
( <span class="number">731086699811838561</span>, <span class="number">8</span>), <span class="comment">// 171</span>
( <span class="number">765997893392859136</span>, <span class="number">8</span>), <span class="comment">// 172</span>
( <span class="number">802359178476091681</span>, <span class="number">8</span>), <span class="comment">// 173</span>
( <span class="number">840221879151902976</span>, <span class="number">8</span>), <span class="comment">// 174</span>
( <span class="number">879638824462890625</span>, <span class="number">8</span>), <span class="comment">// 175</span>
( <span class="number">920664383502155776</span>, <span class="number">8</span>), <span class="comment">// 176</span>
( <span class="number">963354501121950081</span>, <span class="number">8</span>), <span class="comment">// 177</span>
( <span class="number">1007766734259732736</span>, <span class="number">8</span>), <span class="comment">// 178</span>
( <span class="number">1053960288888713761</span>, <span class="number">8</span>), <span class="comment">// 179</span>
( <span class="number">1101996057600000000</span>, <span class="number">8</span>), <span class="comment">// 180</span>
( <span class="number">1151936657823500641</span>, <span class="number">8</span>), <span class="comment">// 181</span>
( <span class="number">1203846470694789376</span>, <span class="number">8</span>), <span class="comment">// 182</span>
( <span class="number">1257791680575160641</span>, <span class="number">8</span>), <span class="comment">// 183</span>
( <span class="number">1313840315232157696</span>, <span class="number">8</span>), <span class="comment">// 184</span>
( <span class="number">1372062286687890625</span>, <span class="number">8</span>), <span class="comment">// 185</span>
( <span class="number">1432529432742502656</span>, <span class="number">8</span>), <span class="comment">// 186</span>
( <span class="number">1495315559180183521</span>, <span class="number">8</span>), <span class="comment">// 187</span>
( <span class="number">1560496482665168896</span>, <span class="number">8</span>), <span class="comment">// 188</span>
( <span class="number">1628150074335205281</span>, <span class="number">8</span>), <span class="comment">// 189</span>
( <span class="number">1698356304100000000</span>, <span class="number">8</span>), <span class="comment">// 190</span>
( <span class="number">1771197285652216321</span>, <span class="number">8</span>), <span class="comment">// 191</span>
( <span class="number">1846757322198614016</span>, <span class="number">8</span>), <span class="comment">// 192</span>
( <span class="number">1925122952918976001</span>, <span class="number">8</span>), <span class="comment">// 193</span>
( <span class="number">2006383000160502016</span>, <span class="number">8</span>), <span class="comment">// 194</span>
( <span class="number">2090628617375390625</span>, <span class="number">8</span>), <span class="comment">// 195</span>
( <span class="number">2177953337809371136</span>, <span class="number">8</span>), <span class="comment">// 196</span>
( <span class="number">2268453123948987361</span>, <span class="number">8</span>), <span class="comment">// 197</span>
( <span class="number">2362226417735475456</span>, <span class="number">8</span>), <span class="comment">// 198</span>
( <span class="number">2459374191553118401</span>, <span class="number">8</span>), <span class="comment">// 199</span>
( <span class="number">2560000000000000000</span>, <span class="number">8</span>), <span class="comment">// 200</span>
( <span class="number">2664210032449121601</span>, <span class="number">8</span>), <span class="comment">// 201</span>
( <span class="number">2772113166407885056</span>, <span class="number">8</span>), <span class="comment">// 202</span>
( <span class="number">2883821021683985761</span>, <span class="number">8</span>), <span class="comment">// 203</span>
( <span class="number">2999448015365799936</span>, <span class="number">8</span>), <span class="comment">// 204</span>
( <span class="number">3119111417625390625</span>, <span class="number">8</span>), <span class="comment">// 205</span>
( <span class="number">3242931408352297216</span>, <span class="number">8</span>), <span class="comment">// 206</span>
( <span class="number">3371031134626313601</span>, <span class="number">8</span>), <span class="comment">// 207</span>
( <span class="number">3503536769037500416</span>, <span class="number">8</span>), <span class="comment">// 208</span>
( <span class="number">3640577568861717121</span>, <span class="number">8</span>), <span class="comment">// 209</span>
( <span class="number">3782285936100000000</span>, <span class="number">8</span>), <span class="comment">// 210</span>
( <span class="number">3928797478390152481</span>, <span class="number">8</span>), <span class="comment">// 211</span>
( <span class="number">4080251070798954496</span>, <span class="number">8</span>), <span class="comment">// 212</span>
( <span class="number">4236788918503437921</span>, <span class="number">8</span>), <span class="comment">// 213</span>
( <span class="number">4398556620369715456</span>, <span class="number">8</span>), <span class="comment">// 214</span>
( <span class="number">4565703233437890625</span>, <span class="number">8</span>), <span class="comment">// 215</span>
( <span class="number">4738381338321616896</span>, <span class="number">8</span>), <span class="comment">// 216</span>
( <span class="number">4916747105530914241</span>, <span class="number">8</span>), <span class="comment">// 217</span>
( <span class="number">5100960362726891776</span>, <span class="number">8</span>), <span class="comment">// 218</span>
( <span class="number">5291184662917065441</span>, <span class="number">8</span>), <span class="comment">// 219</span>
( <span class="number">5487587353600000000</span>, <span class="number">8</span>), <span class="comment">// 220</span>
( <span class="number">5690339646868044961</span>, <span class="number">8</span>), <span class="comment">// 221</span>
( <span class="number">5899616690476974336</span>, <span class="number">8</span>), <span class="comment">// 222</span>
( <span class="number">6115597639891380481</span>, <span class="number">8</span>), <span class="comment">// 223</span>
( <span class="number">6338465731314712576</span>, <span class="number">8</span>), <span class="comment">// 224</span>
( <span class="number">6568408355712890625</span>, <span class="number">8</span>), <span class="comment">// 225</span>
( <span class="number">6805617133840466176</span>, <span class="number">8</span>), <span class="comment">// 226</span>
( <span class="number">7050287992278341281</span>, <span class="number">8</span>), <span class="comment">// 227</span>
( <span class="number">7302621240492097536</span>, <span class="number">8</span>), <span class="comment">// 228</span>
( <span class="number">7562821648920027361</span>, <span class="number">8</span>), <span class="comment">// 229</span>
( <span class="number">7831098528100000000</span>, <span class="number">8</span>), <span class="comment">// 230</span>
( <span class="number">8107665808844335041</span>, <span class="number">8</span>), <span class="comment">// 231</span>
( <span class="number">8392742123471896576</span>, <span class="number">8</span>), <span class="comment">// 232</span>
( <span class="number">8686550888106661441</span>, <span class="number">8</span>), <span class="comment">// 233</span>
( <span class="number">8989320386052055296</span>, <span class="number">8</span>), <span class="comment">// 234</span>
( <span class="number">9301283852250390625</span>, <span class="number">8</span>), <span class="comment">// 235</span>
( <span class="number">9622679558836781056</span>, <span class="number">8</span>), <span class="comment">// 236</span>
( <span class="number">9953750901796946721</span>, <span class="number">8</span>), <span class="comment">// 237</span>
(<span class="number">10294746488738365696</span>, <span class="number">8</span>), <span class="comment">// 238</span>
(<span class="number">10645920227784266881</span>, <span class="number">8</span>), <span class="comment">// 239</span>
(<span class="number">11007531417600000000</span>, <span class="number">8</span>), <span class="comment">// 240</span>
(<span class="number">11379844838561358721</span>, <span class="number">8</span>), <span class="comment">// 241</span>
(<span class="number">11763130845074473216</span>, <span class="number">8</span>), <span class="comment">// 242</span>
(<span class="number">12157665459056928801</span>, <span class="number">8</span>), <span class="comment">// 243</span>
(<span class="number">12563730464589807616</span>, <span class="number">8</span>), <span class="comment">// 244</span>
(<span class="number">12981613503750390625</span>, <span class="number">8</span>), <span class="comment">// 245</span>
(<span class="number">13411608173635297536</span>, <span class="number">8</span>), <span class="comment">// 246</span>
(<span class="number">13854014124583882561</span>, <span class="number">8</span>), <span class="comment">// 247</span>
(<span class="number">14309137159611744256</span>, <span class="number">8</span>), <span class="comment">// 248</span>
(<span class="number">14777289335064248001</span>, <span class="number">8</span>), <span class="comment">// 249</span>
(<span class="number">15258789062500000000</span>, <span class="number">8</span>), <span class="comment">// 250</span>
(<span class="number">15753961211814252001</span>, <span class="number">8</span>), <span class="comment">// 251</span>
(<span class="number">16263137215612256256</span>, <span class="number">8</span>), <span class="comment">// 252</span>
(<span class="number">16786655174842630561</span>, <span class="number">8</span>), <span class="comment">// 253</span>
(<span class="number">17324859965700833536</span>, <span class="number">8</span>), <span class="comment">// 254</span>
(<span class="number">17878103347812890625</span>, <span class="number">8</span>), <span class="comment">// 255</span>
( <span class="number">72057594037927936</span>, <span class="number">7</span>), <span class="comment">// 256</span>
];
<span class="kw">let</span> (<span class="ident">base</span>, <span class="ident">power</span>) <span class="op">=</span> <span class="ident">BASES</span>[<span class="ident">radix</span> <span class="kw">as</span> <span class="ident">usize</span>];
(<span class="ident">base</span> <span class="kw">as</span> <span class="ident">BigDigit</span>, <span class="ident">power</span>)
}
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> <span class="macro">panic</span><span class="macro">!</span>(<span class="string">"Invalid bigdigit size"</span>)
}
}
</pre></div>
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