operators.html

---
layout: default
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<h1>Operator precedences and associativities</h3>
<table class="precedence">
  <thead>
    <tr>
      <th>precedence</th>
      <th>left associative</th>
      <th>right associative</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>9</td>
      <td><code>>></code></td>
      <td><code>&lt;&lt;</code></td>
    </tr>
    <tr>
      <td>8</td>
      <td></td>
      <td><code>^</code></td>
    </tr>
    <tr>
      <td>7</td>
      <td><code>*</code> <code>/</code> <code>//</code> <code>%</code></td>
      <td></td>
    </tr>
    <tr>
      <td>6</td>
      <td><code>+</code> <code>&minus;</code></td>
      <td></td>
    </tr>
    <tr>
      <td>5</td>
      <td></td>
      <td><code>++</code> <code>::</code></td>
    </tr>
    <tr>
      <td>4</td>
      <td colspan="2" style="text-align: center">
	<code>==</code> <code>/=</code> <code>&lt;</code> <code>></code>
	<code>&lt;=</code> <code>>=</code>
	<sup><a href="#nonassoc">*</a></sup>
      </td>
    </tr>
    <tr>
      <td>3</td>
      <td></td>
      <td><code>&amp;&amp;</code></td>
    </tr>
    <tr>
      <td>2</td>
      <td></td>
      <td><code>||</code></td>
    </tr>
    <tr>
      <td>0</td>
      <td><code>|></code></td>
      <td><code>&lt;|</code></td>
    </tr>
  </tbody>
</table>

<br>
<p>
  The above lists the core infix operators in descending order of precedence.
</p>
<p>
  Function application (by adjacency) is higher priority than all operators and
  is left-associative:<br> <code>f g h x</code> is interpreted as <code>((f g) h) x</code>.
</p>
<p name="nonassoc">
  *
  The comparison operators (precedence 4) are non-associative.
</p>
<p>
  This is based on
  <a href="https://github.com/elm-lang/core/blob/master/src/Basics.elm">Basics.elm</a>
  and
  <a href="https://github.com/elm-lang/core/blob/master/src/List.elm">List.elm</a>.
</p>