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authorMarshall Lochbaum <mwlochbaum@gmail.com>2020-10-03 16:38:35 -0400
committerMarshall Lochbaum <mwlochbaum@gmail.com>2020-10-03 16:38:35 -0400
commit673de1c627a2046123e1693e9e6508399a028508 (patch)
tree86303316523319eeebcf0e0c52a2be781089c286 /docs/doc/shift.html
parent8846e63a6f1fe51ee9a68dc511cc6fcdbf54efa6 (diff)
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<p>In any instance of <code><span class='Function'>»</span></code> or <code><span class='Function'>«</span></code>, <code><span class='Value'>𝕩</span></code> must have rank at least 1.</p>
<p>For a dyadic shift function, <code><span class='Value'>𝕨</span></code> must be Join-compatible with <code><span class='Value'>𝕩</span></code> (that is, <code><span class='Value'>𝕨</span><span class='Function'>∾</span><span class='Value'>𝕩</span></code> completes without error) and cannot have greater rank than <code><span class='Value'>𝕩</span></code>. Then Shift Before (<code><span class='Function'>»</span></code>) is <code><span class='Brace'>{</span><span class='Paren'>(</span><span class='Function'>≠</span><span class='Value'>𝕩</span><span class='Paren'>)</span><span class='Function'>↑</span><span class='Value'>𝕨</span><span class='Function'>∾</span><span class='Value'>𝕩</span><span class='Brace'>}</span></code> and Shift After (<code><span class='Function'>«</span></code>) is <code><span class='Brace'>{</span><span class='Paren'>(</span><span class='Function'>-≠</span><span class='Value'>𝕩</span><span class='Paren'>)</span><span class='Function'>↑</span><span class='Value'>𝕩</span><span class='Function'>∾</span><span class='Value'>𝕨</span><span class='Brace'>}</span></code></p>
<p>When called monadically, the default argument is a cell of fills <code><span class='Number'>1</span><span class='Function'>↑</span><span class='Number'>0</span><span class='Function'>↑</span><span class='Value'>𝕩</span></code>. That is, Nudge (<code><span class='Function'>»</span></code>) is <code><span class='Paren'>(</span><span class='Number'>1</span><span class='Function'>↑</span><span class='Number'>0</span><span class='Function'>↑⊢</span><span class='Paren'>)</span><span class='Modifier2'>⊸</span><span class='Function'>»</span></code> and Nudge Back (<code><span class='Function'>«</span></code>) is <code><span class='Paren'>(</span><span class='Number'>1</span><span class='Function'>↑</span><span class='Number'>0</span><span class='Function'>↑⊢</span><span class='Paren'>)</span><span class='Modifier2'>⊸</span><span class='Function'>«</span></code>. This default argument always satisfies the compatibility requirement above and so the only conditions for nudge are that <code><span class='Value'>𝕩</span></code> has rank at least 1 and has a fill element.</p>
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