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<title>BQN: Square Cup (⊔)</title>
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<div class="nav">(<a href="https://github.com/mlochbaum/BQN">github</a>) / <a href="../index.html">BQN</a> / <a href="index.html">help</a></div>
<h1 id="square-cup-"><a class="header" href="#square-cup-">Square Cup (<code><span class='Function'>⊔</span></code>)</a></h1>
<h2 id="-𝕩-group-indices"><a class="header" href="#-𝕩-group-indices"><code><span class='Function'>⊔</span> <span class='Value'>𝕩</span></code>: Group Indices</a></h2>
<p><a class="fulldoc" href="../doc/group.html">→full documentation</a></p>
<p>Group the indices of the major cells of <code><span class='Value'>𝕩</span></code> by their respective values.</p>
<p><code><span class='Value'>𝕩</span></code> must consist of integers. Groups start from 0.</p>
<a class="replLink" title="Open in the REPL" target="_blank" href="https://mlochbaum.github.io/BQN/try.html#code=4oqUIDTigL814oC/NuKAvzbigL804oC/N+KAvzUKCijihpU4KSDiiY0g4oqUIDTigL814oC/NuKAvzbigL804oC/N+KAvzU=">↗️</a><pre> <span class='Function'>⊔</span> <span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>5</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>7</span><span class='Ligature'>‿</span><span class='Number'>5</span>
⟨ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨ 0 4 ⟩ ⟨ 1 6 ⟩ ⟨ 2 3 ⟩ ⟨ 5 ⟩ ⟩
<span class='Paren'>(</span><span class='Function'>↕</span><span class='Number'>8</span><span class='Paren'>)</span> <span class='Function'>≍</span> <span class='Function'>⊔</span> <span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>5</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>7</span><span class='Ligature'>‿</span><span class='Number'>5</span>
┌─
╵ 0 1 2 3 4 5 6 7
⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨ 0 4 ⟩ ⟨ 1 6 ⟩ ⟨ 2 3 ⟩ ⟨ 5 ⟩
┘
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<h2 id="𝕨--𝕩-group"><a class="header" href="#𝕨--𝕩-group"><code><span class='Value'>𝕨</span> <span class='Function'>⊔</span> <span class='Value'>𝕩</span></code>: Group</a></h2>
<p><a class="fulldoc" href="../doc/group.html">→full documentation</a></p>
<p>Group the major cells of <code><span class='Value'>𝕩</span></code> by their respective indices in <code><span class='Value'>𝕨</span></code>.</p>
<p>If an element corresponds to <code><span class='Number'>¯1</span></code>, it is excluded from grouping.</p>
<p>An extra element can be added to the end of <code><span class='Value'>𝕨</span></code> to specify length of the result.</p>
<a class="replLink" title="Open in the REPL" target="_blank" href="https://mlochbaum.github.io/BQN/try.html#code=MeKAvzDigL8x4oC/MuKAvzLigL8z4oC/MyAg4oqUIDTigL814oC/NuKAvzbigL804oC/N+KAvzUKCjHigL8w4oC/MeKAv8KvMeKAv8KvMeKAvzPigL8zICDiipQgNOKAvzXigL824oC/NuKAvzTigL834oC/NQoKMeKAvzDigL8x4oC/wq8x4oC/wq8x4oC/M+KAvzPigL8xMCAg4oqUIDTigL814oC/NuKAvzbigL804oC/N+KAvzU=">↗️</a><pre> <span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>0</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>3</span><span class='Ligature'>‿</span><span class='Number'>3</span> <span class='Function'>⊔</span> <span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>5</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>7</span><span class='Ligature'>‿</span><span class='Number'>5</span>
⟨ ⟨ 5 ⟩ ⟨ 4 6 ⟩ ⟨ 6 4 ⟩ ⟨ 7 5 ⟩ ⟩
<span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>0</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>¯1</span><span class='Ligature'>‿</span><span class='Number'>¯1</span><span class='Ligature'>‿</span><span class='Number'>3</span><span class='Ligature'>‿</span><span class='Number'>3</span> <span class='Function'>⊔</span> <span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>5</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>7</span><span class='Ligature'>‿</span><span class='Number'>5</span>
⟨ ⟨ 5 ⟩ ⟨ 4 6 ⟩ ⟨⟩ ⟨ 7 5 ⟩ ⟩
<span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>0</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>¯1</span><span class='Ligature'>‿</span><span class='Number'>¯1</span><span class='Ligature'>‿</span><span class='Number'>3</span><span class='Ligature'>‿</span><span class='Number'>3</span><span class='Ligature'>‿</span><span class='Number'>10</span> <span class='Function'>⊔</span> <span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>5</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>6</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>7</span><span class='Ligature'>‿</span><span class='Number'>5</span>
⟨ ⟨ 5 ⟩ ⟨ 4 6 ⟩ ⟨⟩ ⟨ 7 5 ⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟨⟩ ⟩
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