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    <h1 class="heading"><a href="../index.html">
        <span>Presto 317 Documentation</span></a></h1>
    <h2 class="heading"><span>7.8. Decimal Functions and Operators</span></h2>
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  <div class="section" id="decimal-functions-and-operators">
<h1>7.8. Decimal Functions and Operators</h1>
<div class="section" id="decimal-literals">
<h2>Decimal Literals</h2>
<blockquote>
<div><p>Use <code class="docutils literal"><span class="pre">DECIMAL</span> <span class="pre">'xxxxxxx.yyyyyyy'</span></code> syntax to define literal of DECIMAL type.</p>
<p>The precision of DECIMAL type for literal will be equal to number of digits
in literal (including trailing and leading zeros).
The scale will be equal to number of digits in fractional part (including trailing zeros).</p>
</div></blockquote>
<table border="1" class="docutils">
<colgroup>
<col width="60%" />
<col width="40%" />
</colgroup>
<thead valign="bottom">
<tr class="row-odd"><th class="head">Example literal</th>
<th class="head">Data type</th>
</tr>
</thead>
<tbody valign="top">
<tr class="row-even"><td><code class="docutils literal"><span class="pre">DECIMAL</span> <span class="pre">'0'</span></code></td>
<td><code class="docutils literal"><span class="pre">DECIMAL(1)</span></code></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">DECIMAL</span> <span class="pre">'12345'</span></code></td>
<td><code class="docutils literal"><span class="pre">DECIMAL(5)</span></code></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">DECIMAL</span> <span class="pre">'0000012345.1234500000'</span></code></td>
<td><code class="docutils literal"><span class="pre">DECIMAL(20,</span> <span class="pre">10)</span></code></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="binary-arithmetic-decimal-operators">
<h2>Binary Arithmetic Decimal Operators</h2>
<blockquote>
<div>Standard mathematical operators are supported. The table below explains
precision and scale calculation rules for result.
Assuming <code class="docutils literal"><span class="pre">x</span></code> is of type <code class="docutils literal"><span class="pre">DECIMAL(xp,</span> <span class="pre">xs)</span></code> and <code class="docutils literal"><span class="pre">y</span></code> is of type <code class="docutils literal"><span class="pre">DECIMAL(yp,</span> <span class="pre">ys)</span></code>.</div></blockquote>
<table border="1" class="docutils">
<colgroup>
<col width="18%" />
<col width="41%" />
<col width="41%" />
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td>Operation</td>
<td>Result type precision</td>
<td>Result type scale</td>
</tr>
<tr class="row-even"><td><p class="first"><code class="docutils literal"><span class="pre">x</span> <span class="pre">+</span> <span class="pre">y</span></code></p>
<p>and</p>
<p class="last"><code class="docutils literal"><span class="pre">x</span> <span class="pre">-</span> <span class="pre">y</span></code></p>
</td>
<td><div class="first last highlight-sql"><div class="highlight"><pre><span></span><span class="k">min</span><span class="p">(</span><span class="mi">38</span><span class="p">,</span>
    <span class="mi">1</span> <span class="o">+</span>
      <span class="k">min</span><span class="p">(</span><span class="n">xs</span><span class="p">,</span> <span class="n">ys</span><span class="p">)</span> <span class="o">+</span>
      <span class="k">min</span><span class="p">(</span><span class="n">xp</span> <span class="o">-</span> <span class="n">xs</span><span class="p">,</span> <span class="n">yp</span> <span class="o">-</span> <span class="n">ys</span><span class="p">)</span>
   <span class="p">)</span>
</pre></div>
</div>
</td>
<td><code class="docutils literal"><span class="pre">max(xs,</span> <span class="pre">ys)</span></code></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">x</span> <span class="pre">*</span> <span class="pre">y</span></code></td>
<td><code class="docutils literal"><span class="pre">min(38,</span> <span class="pre">xp</span> <span class="pre">+</span> <span class="pre">yp)</span></code></td>
<td><code class="docutils literal"><span class="pre">xs</span> <span class="pre">+</span> <span class="pre">ys</span></code></td>
</tr>
<tr class="row-even"><td><code class="docutils literal"><span class="pre">x</span> <span class="pre">/</span> <span class="pre">y</span></code></td>
<td><div class="first last highlight-sql"><div class="highlight"><pre><span></span><span class="k">min</span><span class="p">(</span><span class="mi">38</span><span class="p">,</span>
    <span class="n">xp</span> <span class="o">+</span> <span class="n">ys</span>
       <span class="o">+</span> <span class="k">max</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">ys</span><span class="o">-</span><span class="n">xs</span><span class="p">)</span>
   <span class="p">)</span>
</pre></div>
</div>
</td>
<td><code class="docutils literal"><span class="pre">max(xs,</span> <span class="pre">ys)</span></code></td>
</tr>
<tr class="row-odd"><td><code class="docutils literal"><span class="pre">x</span> <span class="pre">%</span> <span class="pre">y</span></code></td>
<td><div class="first last highlight-sql"><div class="highlight"><pre><span></span><span class="k">min</span><span class="p">(</span><span class="n">xp</span> <span class="o">-</span> <span class="n">xs</span><span class="p">,</span> <span class="n">yp</span> <span class="o">-</span> <span class="n">ys</span><span class="p">)</span> <span class="o">+</span>
<span class="k">max</span><span class="p">(</span><span class="n">xs</span><span class="p">,</span> <span class="n">bs</span><span class="p">)</span>
</pre></div>
</div>
</td>
<td><code class="docutils literal"><span class="pre">max(xs,</span> <span class="pre">ys)</span></code></td>
</tr>
</tbody>
</table>
<blockquote>
<div><p>If the mathematical result of the operation is not exactly representable with
the precision and scale of the result data type,
then an exception condition is raised - <code class="docutils literal"><span class="pre">Value</span> <span class="pre">is</span> <span class="pre">out</span> <span class="pre">of</span> <span class="pre">range</span></code>.</p>
<p>When operating on decimal types with different scale and precision, the values are
first coerced to a common super type. For types near the largest representable precision (38),
this can result in Value is out of range errors when one of the operands doesn’t fit
in the common super type. For example, the common super type of decimal(38, 0) and
decimal(38, 1) is decimal(38, 1), but certain values that fit in decimal(38, 0)
cannot be represented as a decimal(38, 1).</p>
</div></blockquote>
</div>
<div class="section" id="comparison-operators">
<h2>Comparison Operators</h2>
<blockquote>
<div>All standard comparison operators and <code class="docutils literal"><span class="pre">BETWEEN</span></code> operator work for <code class="docutils literal"><span class="pre">DECIMAL</span></code> type.</div></blockquote>
</div>
<div class="section" id="unary-decimal-operators">
<h2>Unary Decimal Operators</h2>
<blockquote>
<div>The <code class="docutils literal"><span class="pre">-</span></code> operator performs negation. The type of result is same as type of argument.</div></blockquote>
</div>
</div>


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