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      <h1>scan -- apply a function to each element in a list or sequence</h1>
      <ul>
        <li>
          <dl class="element">
            <dt>Usage: </dt>
            <dd><code class="language-macaulay2">scan(L, f)</code></dd>
            <dd><code class="language-macaulay2">scan(L, L', f)</code></dd>
            <dd><code class="language-macaulay2">scan(n, f)</code></dd>
          </dl>
        </li>
        <li>Inputs:          <ul>
            <li><span><span class="tt">L</span>, <span>a <a title="the class of all basic lists" href="___Basic__List.html">basic list</a></span>, or instance of a class with the <a title="get an iterator" href="_iterator.html">iterator</a> method installed</span></li>
            <li><span><span class="tt">n</span>, <span>an <a title="the class of all integers" href="___Z__Z.html">integer</a></span>, </span></li>
            <li><span><span class="tt">f</span>, <span>a <a title="the class of all functions" href="___Function.html">function</a></span>, </span></li>
          </ul>
        </li>
      </ul>
      <div>
        <h2>Description</h2>
        <div>
          <p><span class="tt">scan(L, f)</span> applies the function <span class="tt">f</span> to each element of the list <span class="tt">L</span>. The function values are discarded.</p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i1 : scan({a, 4, &quot;George&quot;, 2^100}, print)
a
4
George
1267650600228229401496703205376</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i2 : scan(&quot;foo&quot;, print)
f
o
o</code></pre>
            </td>
          </tr>
        </table>
        <div>
          <p><span class="tt">scan(n, f)</span> applies the function <span class="tt">f</span> to each element of the list 0, 1, ..., n-1</p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i3 : scan(4, print)
0
1
2
3</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i4 : v = {a,b,c}; scan(#v, i -> print(i,v#i))
(0, a)
(1, b)
(2, c)</code></pre>
            </td>
          </tr>
        </table>
        <div>
          <p>The keyword <a title="break from a loop" href="_break.html">break</a> can be used to terminate the scan prematurely, and optionally to specify a return value for the expression. Here we use it to locate the first even number in a list.</p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i6 : scan({3,5,7,11,44,55,77}, i -> if even i then break i)

o6 = 44</code></pre>
            </td>
          </tr>
        </table>
        <div>
          <p>If <span class="tt">L</span> is an instance of a class with the <a title="get an iterator" href="_iterator.html">iterator</a> method installed (e.g., a string), then <span class="tt">f</span> is applied to the values obtained by repeatedly calling <a title="get the next object from an iterator" href="_next.html">next</a> on the output of <span class="tt">iterator L</span> until <a title="stop iteration" href="___Stop__Iteration.html">StopIteration</a> is returned.</p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i7 : scan(&quot;foo&quot;, print)
f
o
o</code></pre>
            </td>
          </tr>
        </table>
      </div>
      <div>
        <h2>See also</h2>
        <ul>
          <li><span><a title="apply a function to each element" href="_apply.html">apply</a> -- apply a function to each element</span></li>
          <li><span><a title="apply a binary operator repeatedly" href="_accumulate.html">accumulate</a> -- apply a binary operator repeatedly</span></li>
          <li><span><a title="apply a binary operator repeatedly" href="_fold.html">fold</a> -- apply a binary operator repeatedly</span></li>
          <li><span><a title="a detailed overview of lists and sequences in Macaulay2" href="_lists_spand_spsequences.html">lists and sequences</a> -- a detailed overview of lists and sequences in Macaulay2</span></li>
        </ul>
      </div>
      <div>
        <div class="waystouse">
          <h2>Ways to use <span class="tt">scan</span>:</h2>
          <ul>
            <li><kbd>scan(BasicList,BasicList,Function)</kbd></li>
            <li><kbd>scan(BasicList,Function)</kbd></li>
            <li><kbd>scan(Thing,Function)</kbd></li>
            <li><kbd>scan(ZZ,Function)</kbd></li>
          </ul>
        </div>
        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="apply a function to each element in a list or sequence" href="_scan.html">scan</a> is <span>a <a title="the class of all compiled functions" href="___Compiled__Function.html">compiled function</a></span>.</p>
        </div>
        <hr>
        <div class="waystouse">
          <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/scan-doc.m2:54:0</span>.</p>
        </div>
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