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authorMarshall Lochbaum <mwlochbaum@gmail.com>2022-12-09 10:42:35 -0500
committerMarshall Lochbaum <mwlochbaum@gmail.com>2022-12-09 10:42:35 -0500
commite230f8a9045a7ab12cb6c5151b0cf623c3135064 (patch)
treef6b46f136d83832f0a5baae10d76cee7ab3d1f39 /docs/spec/inferred.html
parenteed43aa900d79e515045ea5398d980a42ec758a6 (diff)
Fix reference to First using fill in fill specification
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</table>
<p>Additionally, the identity of <code><span class='Function'>∾</span><span class='Modifier'>˝</span></code> must be recognized: if <code><span class='Number'>0</span><span class='Function'>=≠</span><span class='Value'>𝕩</span></code> and <code><span class='Number'>1</span><span class='Function'>&lt;=</span><span class='Value'>𝕩</span></code>, then <code><span class='Function'>∾</span><span class='Modifier'>˝</span><span class='Value'>𝕩</span></code> is <code><span class='Paren'>(</span><span class='Number'>0</span><span class='Function'>∾</span><span class='Number'>2</span><span class='Function'>↓≢</span><span class='Value'>𝕩</span><span class='Paren'>)</span><span class='Function'>⥊</span><span class='Value'>𝕩</span></code>. If <code><span class='Number'>1</span><span class='Function'>==</span><span class='Value'>𝕩</span></code>, then there is no identity element, as the result of <code><span class='Function'>∾</span></code> always has rank at least 1, but the cell rank is 0.</p>
<h2 id="fill-elements"><a class="header" href="#fill-elements">Fill elements</a></h2>
-<p>Any BQN array can have a <em>fill element</em>, which is a sort of &quot;default&quot; value for the array. The reference implementations use <code><span class='Function'>Fill</span></code> to access this element, and it is used primarily for Take (<code><span class='Function'>↑</span></code>), First (<code><span class='Function'>⊑</span></code>), and Nudge (<code><span class='Function'>«</span></code>, <code><span class='Function'>»</span></code>). One way to extract the fill element of an array <code><span class='Value'>a</span></code> in BQN is <code><span class='Function'>⊑</span><span class='Number'>0</span><span class='Function'>⥊</span><span class='Value'>a</span></code>.</p>
+<p>Any BQN array can have a <em>fill element</em>, which is a sort of &quot;default&quot; value for the array. The reference implementations use <code><span class='Function'>Fill</span></code> to access this element, and it is used primarily for Take (<code><span class='Function'>↑</span></code>) and Nudge (<code><span class='Function'>«</span></code>, <code><span class='Function'>»</span></code>). One way to extract the fill element of an array <code><span class='Value'>a</span></code> in BQN is <code><span class='Function'>⊑»</span><span class='Number'>1</span><span class='Function'>↑⥊</span><span class='Value'>a</span></code>.</p>
<p>A fill element can be either <code><span class='Number'>0</span></code>, <code><span class='String'>' '</span></code>, or an array of valid fill elements. If the fill element is an array, then it may also have a fill element (since it is an ordinary BQN array). The fill element is meant to describe the shared structure of the elements of an array: for example, the fill element of an array of numbers should be <code><span class='Number'>0</span></code>, while the fill element for an array of variable-length lists should probably be <code><span class='Bracket'>⟨⟩</span></code>. However, the fill element, unlike other inferred properties, does not satisfy any particular constraints that relate it to its array. The fill element of a primitive's result, including functions derived from primitive modifiers, must depend only on its inputs.</p>
<p>In addition to the requirements below, the fill element for the value of a string literal is <code><span class='String'>' '</span></code>.</p>
<h3 id="required-functions"><a class="header" href="#required-functions">Required functions</a></h3>