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<h1 id="kmer-implementation">Kmer — implementation</h1>
<h2 id="types-and-layout">Types and layout</h2>
<p><code>KmerOf&lt;L&gt;</code> is a <code>#[repr(transparent)]</code> newtype over <code>u64</code> parameterized by a <code>KmerLength</code> marker:</p>
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<div class="highlight"><pre><span></span><code><span class="cp">#[repr(transparent)]</span>
<span class="k">pub</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">KmerOf</span><span class="o">&lt;</span><span class="n">L</span><span class="p">:</span><span class="w"> </span><span class="nc">KmerLength</span><span class="o">&gt;</span><span class="p">(</span><span class="kt">u64</span><span class="p">,</span><span class="w"> </span><span class="n">PhantomData</span><span class="o">&lt;</span><span class="n">L</span><span class="o">&gt;</span><span class="p">);</span>
</code></pre></div>
<p>Three marker types implement <code>KmerLength</code>:</p>
<table>
<thead>
<tr>
<th>Marker</th>
<th><code>len()</code> source</th>
<th>Used for</th>
</tr>
</thead>
<tbody>
<tr>
<td><code>KLen</code></td>
<td><code>params::k()</code></td>
<td>k-mers</td>
</tr>
<tr>
<td><code>MLen</code></td>
<td><code>params::m()</code></td>
<td>minimizers</td>
</tr>
<tr>
<td><code>ConstLen&lt;N&gt;</code></td>
<td>const generic <code>N</code></td>
<td>tests</td>
</tr>
</tbody>
</table>
<p>Public aliases:</p>
<div class="highlight"><pre><span></span><code><span class="k">pub</span><span class="w"> </span><span class="k">type</span><span class="w"> </span><span class="nc">Kmer</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">KmerOf</span><span class="o">&lt;</span><span class="n">KLen</span><span class="o">&gt;</span><span class="p">;</span><span class="w"> </span><span class="c1">// k-mer, global k</span>
<span class="k">pub</span><span class="w"> </span><span class="k">type</span><span class="w"> </span><span class="nc">Minimizer</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">CanonicalKmerOf</span><span class="o">&lt;</span><span class="n">MLen</span><span class="o">&gt;</span><span class="p">;</span><span class="w"> </span><span class="c1">// canonical m-mer, global m</span>
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</code></pre></div>
<p>Nucleotides are packed 2 bits each, <strong>left-aligned</strong>, MSB-first. Nucleotide 0 occupies bits 6362; nucleotide i occupies bits 632i and 622i. The low 642·len bits are always zero. The length is <strong>not stored</strong> — every operation reads it from <code>L::len()</code>.</p>
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<table>
<thead>
<tr>
<th>6362</th>
<th>6160</th>
<th></th>
<th>632(k1)1 to 632(k1)</th>
<th>632k down to 0</th>
</tr>
</thead>
<tbody>
<tr>
<td>nt 0</td>
<td>nt 1</td>
<td></td>
<td>nt k1</td>
<td>zero padding</td>
</tr>
</tbody>
</table>
<h2 id="global-parameters">Global parameters</h2>
<p><code>params::set_k(k)</code> / <code>params::k()</code> and <code>params::set_m(m)</code> / <code>params::m()</code> are backed by <code>OnceLock&lt;usize&gt;</code> in production (write-once, panic on conflict) and by <code>thread_local! { Cell&lt;usize&gt; }</code> in test builds (per-thread, freely writable). <code>params::init(k, m)</code> sets both in one call.</p>
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<h2 id="encoding">Encoding</h2>
<p><code>KmerOf::&lt;L&gt;::from_ascii(ascii)</code> encodes the first <code>L::len()</code> bytes using the shared <code>ENC</code> table (see <a href="../superkmer/#ascii-encoding-and-decoding">SuperKmer — ASCII encoding</a>):</p>
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<div class="highlight"><pre><span></span><code><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="mi">0</span><span class="o">..</span><span class="n">k</span><span class="w"> </span><span class="p">{</span>
<span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">val</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="mi">2</span><span class="p">)</span><span class="w"> </span><span class="o">|</span><span class="w"> </span><span class="n">encode_base</span><span class="p">(</span><span class="n">ascii</span><span class="p">[</span><span class="n">i</span><span class="p">])</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="kt">u64</span><span class="p">;</span>
<span class="p">}</span>
<span class="n">KmerOf</span><span class="p">(</span><span class="n">val</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="p">(</span><span class="mi">64</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">2</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">k</span><span class="p">),</span><span class="w"> </span><span class="n">PhantomData</span><span class="p">)</span>
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</code></pre></div>
<p>Zero allocation — result lives on the stack.</p>
<h2 id="decoding">Decoding</h2>
<p><code>write_ascii(writer)</code> writes k ASCII characters to any <code>W: Write</code> using the shared <code>DEC4</code> table: one lookup per 4 nucleotides, one partial lookup for the remainder. No allocation in the hot path.</p>
<p><code>to_ascii()</code> is a convenience wrapper that allocates and returns a <code>Vec&lt;u8&gt;</code>; intended for tests and display only.</p>
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<h2 id="reverse-complement">Reverse complement</h2>
<p>Computed as pure arithmetic — no lookup table, no memory access:</p>
<div class="highlight"><pre><span></span><code><span class="kd">let</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">!</span><span class="bp">self</span><span class="p">.</span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="c1">// complement</span>
<span class="kd">let</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="p">.</span><span class="n">swap_bytes</span><span class="p">();</span><span class="w"> </span><span class="c1">// reverse bytes</span>
<span class="kd">let</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">((</span><span class="n">x</span><span class="w"> </span><span class="o">&gt;&gt;</span><span class="w"> </span><span class="mi">4</span><span class="p">)</span><span class="w"> </span><span class="o">&amp;</span><span class="w"> </span><span class="mh">0x0F0F0F0F0F0F0F0F</span><span class="p">)</span><span class="w"> </span><span class="o">|</span><span class="w"> </span><span class="p">((</span><span class="n">x</span><span class="w"> </span><span class="o">&amp;</span><span class="w"> </span><span class="mh">0x0F0F0F0F0F0F0F0F</span><span class="p">)</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="mi">4</span><span class="p">);</span><span class="w"> </span><span class="c1">// swap nibbles</span>
<span class="kd">let</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">((</span><span class="n">x</span><span class="w"> </span><span class="o">&gt;&gt;</span><span class="w"> </span><span class="mi">2</span><span class="p">)</span><span class="w"> </span><span class="o">&amp;</span><span class="w"> </span><span class="mh">0x3333333333333333</span><span class="p">)</span><span class="w"> </span><span class="o">|</span><span class="w"> </span><span class="p">((</span><span class="n">x</span><span class="w"> </span><span class="o">&amp;</span><span class="w"> </span><span class="mh">0x3333333333333333</span><span class="p">)</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span><span class="w"> </span><span class="c1">// swap 2-bit groups</span>
<span class="n">KmerOf</span><span class="p">(</span><span class="n">x</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="p">(</span><span class="mi">64</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">2</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">k</span><span class="p">),</span><span class="w"> </span><span class="n">PhantomData</span><span class="p">)</span>
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</code></pre></div>
<p>After complementing, bytes are reversed (<code>swap_bytes</code>), then nibbles, then 2-bit groups — restoring 2-bit nucleotides to their correct positions in reverse order. A final left-shift realigns to MSB. Zero allocation — result lives on the stack.</p>
<h2 id="canonical-form-and-canonicalkmerof">Canonical form and <code>CanonicalKmerOf</code></h2>
<p><code>canonical()</code> returns a <code>CanonicalKmerOf&lt;L&gt;</code> — a distinct newtype that carries the same <code>u64</code> layout but enforces the invariant that the stored value equals <code>min(kmer, revcomp)</code>:</p>
<div class="highlight"><pre><span></span><code><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">canonical</span><span class="p">(</span><span class="o">&amp;</span><span class="bp">self</span><span class="p">)</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="nc">CanonicalKmerOf</span><span class="o">&lt;</span><span class="n">L</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{</span>
<span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="n">rc</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">revcomp</span><span class="p">();</span>
<span class="w"> </span><span class="n">CanonicalKmerOf</span><span class="p">(</span><span class="k">if</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="mi">0</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">rc</span><span class="p">.</span><span class="mi">0</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="mi">0</span><span class="w"> </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="n">rc</span><span class="p">.</span><span class="mi">0</span><span class="w"> </span><span class="p">},</span><span class="w"> </span><span class="n">PhantomData</span><span class="p">)</span>
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<span class="p">}</span>
</code></pre></div>
<p>Lexicographic minimum of forward and reverse-complement, comparing the raw <code>u64</code> values directly (left-aligned encoding makes this equivalent to nucleotide-wise comparison). Zero allocation — result lives on the stack.</p>
<p><code>CanonicalKmerOf::from_raw_unchecked(raw)</code> is the only other public constructor, for trusted paths such as deserialisation.</p>
<h2 id="sliding-window-helpers">Sliding window helpers</h2>
<p><code>push_right(nuc)</code> / <code>push_left(nuc)</code> shift the window by one base in O(1). <code>is_overlapping(other)</code> checks whether the last k1 nucleotides of <code>self</code> equal the first k1 of <code>other</code>.</p>
<h2 id="hashing">Hashing</h2>
<p><code>hash_kmer(raw: u64) -&gt; u64</code> computes <code>mix64(raw ^ 0x9e3779b97f4a7c15)</code>, the seeded splitmix64 finalizer. <code>CanonicalKmerOf::seq_hash()</code> delegates to <code>hash_kmer</code>.</p>
2026-04-16 22:38:20 +02:00
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