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<span class="comment">// Copyright 2015 The Rust Project Developers. See the COPYRIGHT</span>
<span class="comment">// file at the top-level directory of this distribution and at</span>
<span class="comment">// http://rust-lang.org/COPYRIGHT.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 &lt;LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0&gt; or the MIT license</span>
<span class="comment">// &lt;LICENSE-MIT or http://opensource.org/licenses/MIT&gt;, at your</span>
<span class="comment">// option. This file may not be copied, modified, or distributed</span>
<span class="comment">// except according to those terms.</span>

<span class="doccomment">//! Utility functions for bignums that don&#39;t make too much sense to turn into methods.</span>

<span class="comment">// FIXME This module&#39;s name is a bit unfortunate, since other modules also import `core::num`.</span>

<span class="kw">use</span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::{<span class="self">self</span>, <span class="ident">Less</span>, <span class="ident">Equal</span>, <span class="ident">Greater</span>};

<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">num</span>::<span class="ident">bignum</span>::<span class="ident">Big32x40</span> <span class="kw">as</span> <span class="ident">Big</span>;

<span class="doccomment">/// Test whether truncating all bits less significant than `ones_place` introduces</span>
<span class="doccomment">/// a relative error less, equal, or greater than 0.5 ULP.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">compare_with_half_ulp</span>(<span class="ident">f</span>: <span class="kw-2">&amp;</span><span class="ident">Big</span>, <span class="ident">ones_place</span>: <span class="ident">usize</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
    <span class="kw">if</span> <span class="ident">ones_place</span> <span class="op">==</span> <span class="number">0</span> {
        <span class="kw">return</span> <span class="ident">Less</span>;
    }
    <span class="kw">let</span> <span class="ident">half_bit</span> <span class="op">=</span> <span class="ident">ones_place</span> <span class="op">-</span> <span class="number">1</span>;
    <span class="kw">if</span> <span class="ident">f</span>.<span class="ident">get_bit</span>(<span class="ident">half_bit</span>) <span class="op">==</span> <span class="number">0</span> {
        <span class="comment">// &lt; 0.5 ULP</span>
        <span class="kw">return</span> <span class="ident">Less</span>;
    }
    <span class="comment">// If all remaining bits are zero, it&#39;s = 0.5 ULP, otherwise &gt; 0.5</span>
    <span class="comment">// If there are no more bits (half_bit == 0), the below also correctly returns Equal.</span>
    <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">half_bit</span> {
        <span class="kw">if</span> <span class="ident">f</span>.<span class="ident">get_bit</span>(<span class="ident">i</span>) <span class="op">==</span> <span class="number">1</span> {
            <span class="kw">return</span> <span class="ident">Greater</span>;
        }
    }
    <span class="ident">Equal</span>
}

<span class="doccomment">/// Convert an ASCII string containing only decimal digits to a `u64`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Does not perform checks for overflow or invalid characters, so if the caller is not careful,</span>
<span class="doccomment">/// the result is bogus and can panic (though it won&#39;t be `unsafe`). Additionally, empty strings</span>
<span class="doccomment">/// are treated as zero. This function exists because</span>
<span class="doccomment">///</span>
<span class="doccomment">/// 1. using `FromStr` on `&amp;[u8]` requires `from_utf8_unchecked`, which is bad, and</span>
<span class="doccomment">/// 2. piecing together the results of `integral.parse()` and `fractional.parse()` is</span>
<span class="doccomment">///    more complicated than this entire function.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_str_unchecked</span><span class="op">&lt;</span><span class="lifetime">&#39;a</span>, <span class="ident">T</span><span class="op">&gt;</span>(<span class="ident">bytes</span>: <span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">u64</span> <span class="kw">where</span> <span class="ident">T</span> : <span class="ident">IntoIterator</span><span class="op">&lt;</span><span class="ident">Item</span><span class="op">=</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">u8</span><span class="op">&gt;</span> {
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">result</span> <span class="op">=</span> <span class="number">0</span>;
    <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="ident">c</span> <span class="kw">in</span> <span class="ident">bytes</span> {
        <span class="ident">result</span> <span class="op">=</span> <span class="ident">result</span> <span class="op">*</span> <span class="number">10</span> <span class="op">+</span> (<span class="ident">c</span> <span class="op">-</span> <span class="string">b&#39;0&#39;</span>) <span class="kw">as</span> <span class="ident">u64</span>;
    }
    <span class="ident">result</span>
}

<span class="doccomment">/// Convert a string of ASCII digits into a bignum.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Like `from_str_unchecked`, this function relies on the parser to weed out non-digits.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">digits_to_big</span>(<span class="ident">integral</span>: <span class="kw-2">&amp;</span>[<span class="ident">u8</span>], <span class="ident">fractional</span>: <span class="kw-2">&amp;</span>[<span class="ident">u8</span>]) <span class="op">-&gt;</span> <span class="ident">Big</span> {
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">Big</span>::<span class="ident">from_small</span>(<span class="number">0</span>);
    <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="ident">c</span> <span class="kw">in</span> <span class="ident">integral</span>.<span class="ident">iter</span>().<span class="ident">chain</span>(<span class="ident">fractional</span>) {
        <span class="kw">let</span> <span class="ident">n</span> <span class="op">=</span> (<span class="ident">c</span> <span class="op">-</span> <span class="string">b&#39;0&#39;</span>) <span class="kw">as</span> <span class="ident">u32</span>;
        <span class="ident">f</span>.<span class="ident">mul_small</span>(<span class="number">10</span>);
        <span class="ident">f</span>.<span class="ident">add_small</span>(<span class="ident">n</span>);
    }
    <span class="ident">f</span>
}

<span class="doccomment">/// Unwraps a bignum into a 64 bit integer. Panics if the number is too large.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_u64</span>(<span class="ident">x</span>: <span class="kw-2">&amp;</span><span class="ident">Big</span>) <span class="op">-&gt;</span> <span class="ident">u64</span> {
    <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">bit_length</span>() <span class="op">&lt;</span> <span class="number">64</span>);
    <span class="kw">let</span> <span class="ident">d</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">digits</span>();
    <span class="kw">if</span> <span class="ident">d</span>.<span class="ident">len</span>() <span class="op">&lt;</span> <span class="number">2</span> {
        <span class="ident">d</span>[<span class="number">0</span>] <span class="kw">as</span> <span class="ident">u64</span>
    } <span class="kw">else</span> {
        (<span class="ident">d</span>[<span class="number">1</span>] <span class="kw">as</span> <span class="ident">u64</span>) <span class="op">&lt;&lt;</span> <span class="number">32</span> <span class="op">|</span> <span class="ident">d</span>[<span class="number">0</span>] <span class="kw">as</span> <span class="ident">u64</span>
    }
}


<span class="doccomment">/// Extract a range of bits.</span>

<span class="doccomment">/// Index 0 is the least significant bit and the range is half-open as usual.</span>
<span class="doccomment">/// Panics if asked to extract more bits than fit into the return type.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">get_bits</span>(<span class="ident">x</span>: <span class="kw-2">&amp;</span><span class="ident">Big</span>, <span class="ident">start</span>: <span class="ident">usize</span>, <span class="ident">end</span>: <span class="ident">usize</span>) <span class="op">-&gt;</span> <span class="ident">u64</span> {
    <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">end</span> <span class="op">-</span> <span class="ident">start</span> <span class="op">&lt;=</span> <span class="number">64</span>);
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">result</span>: <span class="ident">u64</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="ident">start</span>..<span class="ident">end</span>).<span class="ident">rev</span>() {
        <span class="ident">result</span> <span class="op">=</span> <span class="ident">result</span> <span class="op">&lt;&lt;</span> <span class="number">1</span> <span class="op">|</span> <span class="ident">x</span>.<span class="ident">get_bit</span>(<span class="ident">i</span>) <span class="kw">as</span> <span class="ident">u64</span>;
    }
    <span class="ident">result</span>
}
</pre>
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