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| author | Marshall Lochbaum <mwlochbaum@gmail.com> | 2020-07-17 12:04:34 -0400 |
|---|---|---|
| committer | Marshall Lochbaum <mwlochbaum@gmail.com> | 2020-07-17 12:26:59 -0400 |
| commit | eb01eb415a5304d98c55f844188bb0defac90c67 (patch) | |
| tree | e36497edff6a231b8e0b6f4290c7e37748771284 /docs/join.html | |
| parent | 7051529b8ceefabbc8a64a3a74491a87a9651801 (diff) | |
Character entity escaping for "&<>
Diffstat (limited to 'docs/join.html')
| -rw-r--r-- | docs/join.html | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/docs/join.html b/docs/join.html index 881b318b..e54d2a4f 100644 --- a/docs/join.html +++ b/docs/join.html @@ -1,18 +1,18 @@ <head><link href="style.css" rel="stylesheet"/></head> <h1 id="join">Join</h1> -<p>Join (<code><span class='Function'>∾</span></code>) is an extension of the monadic function <a href="https://aplwiki.com/wiki/Raze">Raze</a> from A+ and J to arbitrary argument ranks. It has the same relationship to Join to, the dyadic function sharing the same glyph, as Unbox (<code><span class='Function'>></span></code>) does to Couple (<code><span class='Function'>≍</span></code>): <code><span class='Value'>a</span><span class='Function'>≍</span><span class='Value'>b</span></code> is <code><span class='Function'>></span><span class='Value'>a</span><span class='Ligature'>‿</span><span class='Value'>b</span></code> and <code><span class='Value'>a</span><span class='Function'>∾</span><span class='Value'>b</span></code> is <code><span class='Function'>∾</span><span class='Value'>a</span><span class='Ligature'>‿</span><span class='Value'>b</span></code>. While Unbox and Couple combine arrays (the elements of Unbox's argument, or the arguments themselves for Coups) along a new leading axis, Join and Join to combine them along the existing leading axis. Both Unbox and Join can also be called on a higher-rank array, causing Unbox to add multiple leading axes while Join combines elements along multiple existing axes.</p> +<p>Join (<code><span class='Function'>∾</span></code>) is an extension of the monadic function <a href="https://aplwiki.com/wiki/Raze">Raze</a> from A+ and J to arbitrary argument ranks. It has the same relationship to Join to, the dyadic function sharing the same glyph, as Unbox (<code><span class='Function'>></span></code>) does to Couple (<code><span class='Function'>≍</span></code>): <code><span class='Value'>a</span><span class='Function'>≍</span><span class='Value'>b</span></code> is <code><span class='Function'>></span><span class='Value'>a</span><span class='Ligature'>‿</span><span class='Value'>b</span></code> and <code><span class='Value'>a</span><span class='Function'>∾</span><span class='Value'>b</span></code> is <code><span class='Function'>∾</span><span class='Value'>a</span><span class='Ligature'>‿</span><span class='Value'>b</span></code>. While Unbox and Couple combine arrays (the elements of Unbox's argument, or the arguments themselves for Coups) along a new leading axis, Join and Join to combine them along the existing leading axis. Both Unbox and Join can also be called on a higher-rank array, causing Unbox to add multiple leading axes while Join combines elements along multiple existing axes.</p> <p>Join can be used to combine several strings into a single string, like <code><span class='Value'>array.join</span><span class='Paren'>()</span></code> in Javascript (but it doesn't force the result to be a string).</p> -<pre> <span class='Function'>∾</span><span class='String'>"time"</span><span class='Ligature'>‿</span><span class='String'>"to"</span><span class='Ligature'>‿</span><span class='String'>"join"</span><span class='Ligature'>‿</span><span class='String'>"some"</span><span class='Ligature'>‿</span><span class='String'>"words"</span> +<pre> <span class='Function'>∾</span><span class='String'>"time"</span><span class='Ligature'>‿</span><span class='String'>"to"</span><span class='Ligature'>‿</span><span class='String'>"join"</span><span class='Ligature'>‿</span><span class='String'>"some"</span><span class='Ligature'>‿</span><span class='String'>"words"</span> <span class='Value'>[</span> <span class='Value'>timetojoinsomewords</span> <span class='Value'>]</span> </pre> <p>To join with a separator in between, we might prepend the separator to each string, then remove the leading separator after joining. Another approach would be to insert the separator array as an element between each pair of array elements before calling Join.</p> -<pre> <span class='Number'>1</span><span class='Function'>↓∾</span><span class='String'>' '</span><span class='Function'>∾</span><span class='Modifier'>¨</span><span class='String'>"time"</span><span class='Ligature'>‿</span><span class='String'>"to"</span><span class='Ligature'>‿</span><span class='String'>"join"</span><span class='Ligature'>‿</span><span class='String'>"some"</span><span class='Ligature'>‿</span><span class='String'>"words"</span> +<pre> <span class='Number'>1</span><span class='Function'>↓∾</span><span class='String'>' '</span><span class='Function'>∾</span><span class='Modifier'>¨</span><span class='String'>"time"</span><span class='Ligature'>‿</span><span class='String'>"to"</span><span class='Ligature'>‿</span><span class='String'>"join"</span><span class='Ligature'>‿</span><span class='String'>"some"</span><span class='Ligature'>‿</span><span class='String'>"words"</span> <span class='Value'>[</span> <span class='Value'>time</span> <span class='Value'>to</span> <span class='Value'>join</span> <span class='Value'>some</span> <span class='Value'>words</span> <span class='Value'>]</span> </pre> <p>Join requires each element of its argument to be an array, and their ranks to match exactly. No rank extension is performed.</p> -<pre> <span class='Function'>∾</span><span class='String'>"abc"</span><span class='Ligature'>‿</span><span class='String'>'d'</span><span class='Ligature'>‿</span><span class='String'>"ef"</span> <span class='Comment'># Includes a non-array +<pre> <span class='Function'>∾</span><span class='String'>"abc"</span><span class='Ligature'>‿</span><span class='String'>'d'</span><span class='Ligature'>‿</span><span class='String'>"ef"</span> <span class='Comment'># Includes a non-array </span><span class='Function'>RANK</span> <span class='Function'>ERROR</span> - <span class='Function'>∾</span><span class='String'>"abc"</span><span class='Ligature'>‿</span><span class='Paren'>(</span><span class='Function'><</span><span class='String'>'d'</span><span class='Paren'>)</span><span class='Ligature'>‿</span><span class='String'>"ef"</span> <span class='Comment'># Includes a scalar + <span class='Function'>∾</span><span class='String'>"abc"</span><span class='Ligature'>‿</span><span class='Paren'>(</span><span class='Function'><</span><span class='String'>'d'</span><span class='Paren'>)</span><span class='Ligature'>‿</span><span class='String'>"ef"</span> <span class='Comment'># Includes a scalar </span><span class='Function'>RANK</span> <span class='Function'>ERROR</span> </pre> <p>However, Join has higher-dimensional uses as well. Given a rank-<code><span class='Value'>m</span></code> array of rank-<code><span class='Value'>n</span></code> arrays (requiring <code><span class='Value'>m</span><span class='Function'>≤</span><span class='Value'>n</span></code>), it will merge arrays along their first <code><span class='Value'>m</span></code> axes. For example, if the argument is a matrix of matrices representing a <a href="https://en.wikipedia.org/wiki/Block_matrix">block matrix</a>, Join will give the corresponding unblocked matrix as its result.</p> |