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<br>
<p>Implementation of <a href="https://www.unicode.org/reports/tr31/">Unicode Standard Annex #31</a> for determining which
<code>char</code> values are valid in programming language identifiers.</p>
<p>This crate is a better optimized implementation of the older <code>unicode-xid</code>
crate. This crate uses less static storage, and is able to classify both
ASCII and non-ASCII codepoints with better performance, 210×
faster than <code>unicode-xid</code>.</p>
<br>
<h3 id="comparison-of-performance"><a class="doc-anchor" href="#comparison-of-performance">§</a>Comparison of performance</h3>
<p>The following table shows a comparison between five Unicode identifier
implementations.</p>
<ul>
<li><code>unicode-ident</code> is this crate;</li>
<li><a href="https://github.com/unicode-rs/unicode-xid"><code>unicode-xid</code></a> is a widely used crate run by the “unicode-rs” org;</li>
<li><code>ucd-trie</code> and <code>fst</code> are two data structures supported by the
<a href="https://github.com/BurntSushi/ucd-generate"><code>ucd-generate</code></a> tool;</li>
<li><a href="https://github.com/RoaringBitmap/roaring-rs"><code>roaring</code></a> is a Rust implementation of Roaring bitmap.</li>
</ul>
<p>The <em>static storage</em> column shows the total size of <code>static</code> tables that the
crate bakes into your binary, measured in 1000s of bytes.</p>
<p>The remaining columns show the <strong>cost per call</strong> to evaluate whether a
single <code>char</code> has the XID_Start or XID_Continue Unicode property,
comparing across different ratios of ASCII to non-ASCII codepoints in the
input data.</p>
<div><table><thead><tr><th></th><th>static storage</th><th>0% nonascii</th><th>1%</th><th>10%</th><th>100% nonascii</th></tr></thead><tbody>
<tr><td><strong><code>unicode-ident</code></strong></td><td>10.4 K</td><td>0.96 ns</td><td>0.95 ns</td><td>1.09 ns</td><td>1.55 ns</td></tr>
<tr><td><strong><code>unicode-xid</code></strong></td><td>11.8 K</td><td>1.88 ns</td><td>2.14 ns</td><td>3.48 ns</td><td>15.63 ns</td></tr>
<tr><td><strong><code>ucd-trie</code></strong></td><td>10.3 K</td><td>1.29 ns</td><td>1.28 ns</td><td>1.36 ns</td><td>2.15 ns</td></tr>
<tr><td><strong><code>fst</code></strong></td><td>144 K</td><td>55.1 ns</td><td>54.9 ns</td><td>53.2 ns</td><td>28.5 ns</td></tr>
<tr><td><strong><code>roaring</code></strong></td><td>66.1 K</td><td>2.78 ns</td><td>3.09 ns</td><td>3.37 ns</td><td>4.70 ns</td></tr>
</tbody></table>
</div>
<p>Source code for the benchmark is provided in the <em>bench</em> directory of this
repo and may be repeated by running <code>cargo criterion</code>.</p>
<br>
<h3 id="comparison-of-data-structures"><a class="doc-anchor" href="#comparison-of-data-structures">§</a>Comparison of data structures</h3><h5 id="unicode-xid"><a class="doc-anchor" href="#unicode-xid">§</a>unicode-xid</h5>
<p>They use a sorted array of character ranges, and do a binary search to look
up whether a given character lands inside one of those ranges.</p>
<div class="example-wrap"><pre class="rust rust-example-rendered"><code><span class="kw">static </span>XID_Continue_table: [(char, char); <span class="number">763</span>] = [
(<span class="string">'\u{30}'</span>, <span class="string">'\u{39}'</span>), <span class="comment">// 0-9
</span>(<span class="string">'\u{41}'</span>, <span class="string">'\u{5a}'</span>), <span class="comment">// A-Z
</span>
(<span class="string">'\u{e0100}'</span>, <span class="string">'\u{e01ef}'</span>),
];</code></pre></div>
<p>The static storage used by this data structure scales with the number of
contiguous ranges of identifier codepoints in Unicode. Every table entry
consumes 8 bytes, because it consists of a pair of 32-bit <code>char</code> values.</p>
<p>In some ranges of the Unicode codepoint space, this is quite a sparse
representation there are some ranges where tens of thousands of
adjacent codepoints are all valid identifier characters. In other places,
the representation is quite inefficient. A characater like <code>µ</code> (U+00B5)
which is surrounded by non-identifier codepoints consumes 64 bits in the
table, while it would be just 1 bit in a dense bitmap.</p>
<p>On a system with 64-byte cache lines, binary searching the table touches 7
cache lines on average. Each cache line fits only 8 table entries.
Additionally, the branching performed during the binary search is probably
mostly unpredictable to the branch predictor.</p>
<p>Overall, the crate ends up being about 10× slower on non-ASCII input
compared to the fastest crate.</p>
<p>A potential improvement would be to pack the table entries more compactly.
Rusts <code>char</code> type is a 21-bit integer padded to 32 bits, which means every
table entry is holding 22 bits of wasted space, adding up to 3.9 K. They
could instead fit every table entry into 6 bytes, leaving out some of the
padding, for a 25% improvement in space used. With some cleverness it may be
possible to fit in 5 bytes or even 4 bytes by storing a low char and an
extent, instead of low char and high char. I dont expect that performance
would improve much but this could be the most efficient for space across all
the libraries, needing only about 7 K to store.</p>
<h5 id="ucd-trie"><a class="doc-anchor" href="#ucd-trie">§</a>ucd-trie</h5>
<p>Their data structure is a compressed trie set specifically tailored for
Unicode codepoints. The design is credited to Raph Levien in
<a href="https://github.com/rust-lang/rust/pull/33098">rust-lang/rust#33098</a>.</p>
<div class="example-wrap"><pre class="rust rust-example-rendered"><code><span class="kw">pub struct </span>TrieSet {
tree1_level1: <span class="kw-2">&amp;</span><span class="lifetime">'static </span>[u64; <span class="number">32</span>],
tree2_level1: <span class="kw-2">&amp;</span><span class="lifetime">'static </span>[u8; <span class="number">992</span>],
tree2_level2: <span class="kw-2">&amp;</span><span class="lifetime">'static </span>[u64],
tree3_level1: <span class="kw-2">&amp;</span><span class="lifetime">'static </span>[u8; <span class="number">256</span>],
tree3_level2: <span class="kw-2">&amp;</span><span class="lifetime">'static </span>[u8],
tree3_level3: <span class="kw-2">&amp;</span><span class="lifetime">'static </span>[u64],
}</code></pre></div>
<p>It represents codepoint sets using a trie to achieve prefix compression. The
final states of the trie are embedded in leaves or “chunks”, where each
chunk is a 64-bit integer. Each bit position of the integer corresponds to
whether a particular codepoint is in the set or not. These chunks are not
just a compact representation of the final states of the trie, but are also
a form of suffix compression. In particular, if multiple ranges of 64
contiguous codepoints have the same Unicode properties, then they all map to
the same chunk in the final level of the trie.</p>
<p>Being tailored for Unicode codepoints, this trie is partitioned into three
disjoint sets: tree1, tree2, tree3. The first set corresponds to codepoints
[0, 0x800), the second [0x800, 0x10000) and the third [0x10000,
0x110000). These partitions conveniently correspond to the space of 1 or 2
byte UTF-8 encoded codepoints, 3 byte UTF-8 encoded codepoints and 4 byte
UTF-8 encoded codepoints, respectively.</p>
<p>Lookups in this data structure are significantly more efficient than binary
search. A lookup touches either 1, 2, or 3 cache lines based on which of the
trie partitions is being accessed.</p>
<p>One possible performance improvement would be for this crate to expose a way
to query based on a UTF-8 encoded string, returning the Unicode property
corresponding to the first character in the string. Without such an API, the
caller is required to tokenize their UTF-8 encoded input data into <code>char</code>,
hand the <code>char</code> into <code>ucd-trie</code>, only for <code>ucd-trie</code> to undo that work by
converting back into the variable-length representation for trie traversal.</p>
<h5 id="fst"><a class="doc-anchor" href="#fst">§</a>fst</h5>
<p>Uses a <a href="https://github.com/BurntSushi/fst">finite state transducer</a>. This representation is built into
<a href="https://github.com/BurntSushi/ucd-generate">ucd-generate</a> but I am not aware of any advantage over the <code>ucd-trie</code>
representation. In particular <code>ucd-trie</code> is optimized for storing Unicode
properties while <code>fst</code> is not.</p>
<p>As far as I can tell, the main thing that causes <code>fst</code> to have large size
and slow lookups for this use case relative to <code>ucd-trie</code> is that it does
not specialize for the fact that only 21 of the 32 bits in a <code>char</code> are
meaningful. There are some dense arrays in the structure with large ranges
that could never possibly be used.</p>
<h5 id="roaring"><a class="doc-anchor" href="#roaring">§</a>roaring</h5>
<p>This crate is a pure-Rust implementation of <a href="https://roaringbitmap.org/about/">Roaring Bitmap</a>, a data
structure designed for storing sets of 32-bit unsigned integers.</p>
<p>Roaring bitmaps are compressed bitmaps which tend to outperform conventional
compressed bitmaps such as WAH, EWAH or Concise. In some instances, they can
be hundreds of times faster and they often offer significantly better
compression.</p>
<p>In this use case the performance was reasonably competitive but still
substantially slower than the Unicode-optimized crates. Meanwhile the
compression was significantly worse, requiring 6× as much storage for
the data structure.</p>
<p>I also benchmarked the <a href="https://crates.io/crates/croaring"><code>croaring</code></a> crate which is an FFI wrapper around the
C reference implementation of Roaring Bitmap. This crate was consistently
about 15% slower than pure-Rust <code>roaring</code>, which could just be FFI overhead.
I did not investigate further.</p>
<h5 id="unicode-ident"><a class="doc-anchor" href="#unicode-ident">§</a>unicode-ident</h5>
<p>This crate is most similar to the <code>ucd-trie</code> library, in that its based on
bitmaps stored in the leafs of a trie representation, achieving both prefix
compression and suffix compression.</p>
<p>The key differences are:</p>
<ul>
<li>Uses a single 2-level trie, rather than 3 disjoint partitions of different
depth each.</li>
<li>Uses significantly larger chunks: 512 bits rather than 64 bits.</li>
<li>Compresses the XID_Start and XID_Continue properties together
simultaneously, rather than duplicating identical trie leaf chunks across
the two.</li>
</ul>
<p>The following diagram show the XID_Start and XID_Continue Unicode boolean
properties in uncompressed form, in row-major order:</p>
<table>
<tr><th>XID_Start</th><th>XID_Continue</th></tr>
<tr>
<td><img alt="XID_Start bitmap" width="256" src="https://user-images.githubusercontent.com/1940490/168647353-c6eeb922-afec-49b2-9ef5-c03e9d1e0760.png"></td>
<td><img alt="XID_Continue bitmap" width="256" src="https://user-images.githubusercontent.com/1940490/168647367-f447cca7-2362-4d7d-8cd7-d21c011d329b.png"></td>
</tr>
</table>
<p>Uncompressed, these would take 140 K to store, which is beyond what would be
reasonable. However, as you can see there is a large degree of similarity
between the two bitmaps and across the rows, which lends well to
compression.</p>
<p>This crate stores one 512-bit “row” of the above bitmaps in the leaf level
of a trie, and a single additional level to index into the leafs. It turns
out there are 124 unique 512-bit chunks across the two bitmaps so 7 bits are
sufficient to index them.</p>
<p>The chunk size of 512 bits is selected as the size that minimizes the total
size of the data structure. A smaller chunk, like 256 or 128 bits, would
achieve better deduplication but require a larger index. A larger chunk
would increase redundancy in the leaf bitmaps. 512 bit chunks are the
optimum for total size of the index plus leaf bitmaps.</p>
<p>In fact since there are only 124 unique chunks, we can use an 8-bit index
with a spare bit to index at the half-chunk level. This achieves an
additional 8.5% compression by eliminating redundancies between the second
half of any chunk and the first half of any other chunk. Note that this is
not the same as using chunks which are half the size, because it does not
necessitate raising the size of the tries first level.</p>
<p>In contrast to binary search or the <code>ucd-trie</code> crate, performing lookups in
this data structure is straight-line code with no need for branching.</p>
</div></details><h2 id="functions" class="section-header">Functions<a href="#functions" class="anchor">§</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.is_xid_continue.html" title="fn unicode_ident::is_xid_continue">is_<wbr>xid_<wbr>continue</a></div></li><li><div class="item-name"><a class="fn" href="fn.is_xid_start.html" title="fn unicode_ident::is_xid_start">is_<wbr>xid_<wbr>start</a></div></li></ul></section></div></main></body></html>