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216.446-198.453 220.588-392.892zM531.16 450.445v352.632c117.674 1.553 211.787 40.778 211.787 88.676H304.097c0-48.286 95.149-87.382 213.728-88.676V450.445c-93.077-3.107-167.901-81.297-167.901-177.093 0-8.803 6.99-15.793 15.793-15.793 8.803 0 15.794 6.99 15.794 15.793 0 80.261 63.69 145.635 142.01 145.635s142.011-65.374 142.011-145.635c0-8.803 6.99-15.793 15.794-15.793s15.793 6.99 15.793 15.793c0 95.019-73.789 172.82-165.96 177.093z"></path></svg><span>About 2 min</span><meta property="timeRequired" content="PT2M"></span><!----><!----></div><hr></div><div class="vp-toc-placeholder"><aside id="toc"><!--[--><!----><!--]--><div class="vp-toc-header">On This Page<button type="button" class="print-button" title="Print"><svg xmlns="http://www.w3.org/2000/svg" class="icon print-icon" viewBox="0 0 1024 1024" fill="currentColor" aria-label="print icon"><path d="M819.2 364.8h-44.8V128c0-17.067-14.933-32-32-32H281.6c-17.067 0-32 14.933-32 32v236.8h-44.8C145.067 364.8 96 413.867 96 473.6v192c0 59.733 49.067 108.8 108.8 108.8h44.8V896c0 17.067 14.933 32 32 32h460.8c17.067 0 32-14.933 32-32V774.4h44.8c59.733 0 108.8-49.067 108.8-108.8v-192c0-59.733-49.067-108.8-108.8-108.8zM313.6 160h396.8v204.8H313.6V160zm396.8 704H313.6V620.8h396.8V864zM864 665.6c0 25.6-19.2 44.8-44.8 44.8h-44.8V588.8c0-17.067-14.933-32-32-32H281.6c-17.067 0-32 14.933-32 32v121.6h-44.8c-25.6 0-44.8-19.2-44.8-44.8v-192c0-25.6 19.2-44.8 44.8-44.8h614.4c25.6 0 44.8 19.2 44.8 44.8v192z"></path></svg></button><div class="arrow end"></div></div><div class="vp-toc-wrapper"><ul class="vp-toc-list"><!--[--><li class="vp-toc-item"><a class="route-link vp-toc-link level2" href="#arithmetic-operators-and-functions">Arithmetic Operators and Functions</a></li><!----><!--]--><!--[--><li class="vp-toc-item"><a class="route-link vp-toc-link level2" href="#arithmetic-operators">Arithmetic Operators</a></li><li><ul class="vp-toc-list"><!--[--><li class="vp-toc-item"><a class="route-link vp-toc-link level3" href="#unary-arithmetic-operators">Unary Arithmetic Operators</a></li><!----><!--]--><!--[--><li class="vp-toc-item"><a class="route-link vp-toc-link level3" href="#binary-arithmetic-operators">Binary Arithmetic Operators</a></li><!----><!--]--><!--[--><li class="vp-toc-item"><a class="route-link vp-toc-link level3" href="#example">Example</a></li><!----><!--]--></ul></li><!--]--><!--[--><li class="vp-toc-item"><a class="route-link vp-toc-link level2" href="#arithmetic-functions">Arithmetic Functions</a></li><!----><!--]--></ul><div class="vp-toc-marker" style="top:-1.7rem;"></div></div><!--[--><!----><!--]--></aside></div><!--[--><!----><!--]--><div class="theme-hope-content"><h2 id="arithmetic-operators-and-functions" tabindex="-1"><a class="header-anchor" href="#arithmetic-operators-and-functions"><span>Arithmetic Operators and Functions</span></a></h2><h2 id="arithmetic-operators" tabindex="-1"><a class="header-anchor" href="#arithmetic-operators"><span>Arithmetic Operators</span></a></h2><h3 id="unary-arithmetic-operators" tabindex="-1"><a class="header-anchor" href="#unary-arithmetic-operators"><span>Unary Arithmetic Operators</span></a></h3><p>Supported operators: <code>+</code>, <code>-</code></p><p>Supported input data types: <code>INT32</code>, <code>INT64</code> and <code>FLOAT</code></p><p>Output data type: consistent with the input data type</p><h3 id="binary-arithmetic-operators" tabindex="-1"><a class="header-anchor" href="#binary-arithmetic-operators"><span>Binary Arithmetic Operators</span></a></h3><p>Supported operators: <code>+</code>, <code>-</code>, <code>*</code>, <code>/</code>, <code>%</code></p><p>Supported input data types: <code>INT32</code>, <code>INT64</code>, <code>FLOAT</code> and <code>DOUBLE</code></p><p>Output data type: <code>DOUBLE</code></p><p>Note: Only when the left operand and the right operand under a certain timestamp are not <code>null</code>, the binary arithmetic operation will have an output value.</p><h3 id="example" tabindex="-1"><a class="header-anchor" href="#example"><span>Example</span></a></h3><div class="language-sql line-numbers-mode" data-ext="sql" data-title="sql"><pre class="language-sql"><code><span class="token keyword">select</span> s1<span class="token punctuation">,</span> <span class="token operator">-</span> s1<span class="token punctuation">,</span> s2<span class="token punctuation">,</span> <span class="token operator">+</span> s2<span class="token punctuation">,</span> s1 <span class="token operator">+</span> s2<span class="token punctuation">,</span> s1 <span class="token operator">-</span> s2<span class="token punctuation">,</span> s1 <span class="token operator">*</span> s2<span class="token punctuation">,</span> s1 <span class="token operator">/</span> s2<span class="token punctuation">,</span> s1 <span class="token operator">%</span> s2 <span class="token keyword">from</span> root<span class="token punctuation">.</span>sg<span class="token punctuation">.</span>d1
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Result:</p><div class="language-text line-numbers-mode" data-ext="text" data-title="text"><pre class="language-text"><code>+-----------------------------+-------------+--------------+-------------+-------------+-----------------------------+-----------------------------+-----------------------------+-----------------------------+-----------------------------+
|                         Time|root.sg.d1.s1|-root.sg.d1.s1|root.sg.d1.s2|root.sg.d1.s2|root.sg.d1.s1 + root.sg.d1.s2|root.sg.d1.s1 - root.sg.d1.s2|root.sg.d1.s1 * root.sg.d1.s2|root.sg.d1.s1 / root.sg.d1.s2|root.sg.d1.s1 % root.sg.d1.s2|
+-----------------------------+-------------+--------------+-------------+-------------+-----------------------------+-----------------------------+-----------------------------+-----------------------------+-----------------------------+
|1970-01-01T08:00:00.001+08:00|          1.0|          -1.0|          1.0|          1.0|                          2.0|                          0.0|                          1.0|                          1.0|                          0.0|
|1970-01-01T08:00:00.002+08:00|          2.0|          -2.0|          2.0|          2.0|                          4.0|                          0.0|                          4.0|                          1.0|                          0.0|
|1970-01-01T08:00:00.003+08:00|          3.0|          -3.0|          3.0|          3.0|                          6.0|                          0.0|                          9.0|                          1.0|                          0.0|
|1970-01-01T08:00:00.004+08:00|          4.0|          -4.0|          4.0|          4.0|                          8.0|                          0.0|                         16.0|                          1.0|                          0.0|
|1970-01-01T08:00:00.005+08:00|          5.0|          -5.0|          5.0|          5.0|                         10.0|                          0.0|                         25.0|                          1.0|                          0.0|
+-----------------------------+-------------+--------------+-------------+-------------+-----------------------------+-----------------------------+-----------------------------+-----------------------------+-----------------------------+
Total line number = 5
It costs 0.014s
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div><h2 id="arithmetic-functions" tabindex="-1"><a class="header-anchor" href="#arithmetic-functions"><span>Arithmetic Functions</span></a></h2><p>Currently, IoTDB supports the following mathematical functions. The behavior of these mathematical functions is consistent with the behavior of these functions in the Java Math standard library.</p><table><thead><tr><th>Function Name</th><th>Allowed Input Series Data Types</th><th>Output Series Data Type</th><th>Corresponding Implementation in the Java Standard Library</th></tr></thead><tbody><tr><td>SIN</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#sin(double)</td></tr><tr><td>COS</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#cos(double)</td></tr><tr><td>TAN</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#tan(double)</td></tr><tr><td>ASIN</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#asin(double)</td></tr><tr><td>ACOS</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#acos(double)</td></tr><tr><td>ATAN</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#atan(double)</td></tr><tr><td>SINH</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#sinh(double)</td></tr><tr><td>COSH</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#cosh(double)</td></tr><tr><td>TANH</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#tanh(double)</td></tr><tr><td>DEGREES</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#toDegrees(double)</td></tr><tr><td>RADIANS</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#toRadians(double)</td></tr><tr><td>ABS</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>Same type as the input series</td><td>Math#abs(int) / Math#abs(long) /Math#abs(float) /Math#abs(double)</td></tr><tr><td>SIGN</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#signum(double)</td></tr><tr><td>CEIL</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#ceil(double)</td></tr><tr><td>FLOOR</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#floor(double)</td></tr><tr><td>ROUND</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#rint(double)</td></tr><tr><td>EXP</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#exp(double)</td></tr><tr><td>LN</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#log(double)</td></tr><tr><td>LOG10</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#log10(double)</td></tr><tr><td>SQRT</td><td>INT32 / INT64 / FLOAT / DOUBLE</td><td>DOUBLE</td><td>Math#sqrt(double)</td></tr></tbody></table><p>Example:</p><div class="language-sql line-numbers-mode" data-ext="sql" data-title="sql"><pre class="language-sql"><code><span class="token keyword">select</span> s1<span class="token punctuation">,</span> sin<span class="token punctuation">(</span>s1<span class="token punctuation">)</span><span class="token punctuation">,</span> cos<span class="token punctuation">(</span>s1<span class="token punctuation">)</span><span class="token punctuation">,</span> tan<span class="token punctuation">(</span>s1<span class="token punctuation">)</span> <span class="token keyword">from</span> root<span class="token punctuation">.</span>sg1<span class="token punctuation">.</span>d1 <span class="token keyword">limit</span> <span class="token number">5</span> <span class="token keyword">offset</span> <span class="token number">1000</span><span class="token punctuation">;</span>
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div></div></div><p>Result:</p><div class="language-text line-numbers-mode" data-ext="text" data-title="text"><pre class="language-text"><code>+-----------------------------+-------------------+-------------------+--------------------+-------------------+
|                         Time|     root.sg1.d1.s1|sin(root.sg1.d1.s1)| cos(root.sg1.d1.s1)|tan(root.sg1.d1.s1)|
+-----------------------------+-------------------+-------------------+--------------------+-------------------+
|2020-12-10T17:11:49.037+08:00|7360723084922759782| 0.8133527237573284|  0.5817708713544664| 1.3980636773094157|
|2020-12-10T17:11:49.038+08:00|4377791063319964531|-0.8938962705202537|  0.4482738644511651| -1.994085181866842|
|2020-12-10T17:11:49.039+08:00|7972485567734642915| 0.9627757585308978|-0.27030138509681073|-3.5618602479083545|
|2020-12-10T17:11:49.040+08:00|2508858212791964081|-0.6073417341629443| -0.7944406950452296| 0.7644897069734913|
|2020-12-10T17:11:49.041+08:00|2817297431185141819|-0.8419358900502509| -0.5395775727782725| 1.5603611649667768|
+-----------------------------+-------------------+-------------------+--------------------+-------------------+
Total line number = 5
It costs 0.008s
</code></pre><div class="line-numbers" aria-hidden="true"><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div><div class="line-number"></div></div></div></div><!--[--><!----><!--]--><footer class="vp-page-meta"><div class="vp-meta-item edit-link"><a href="https://github.com/apache/iotdb-docs/edit/main/src/UserGuide/V1.1.x/Operators-Functions/Mathematical.md" rel="noopener noreferrer" target="_blank" aria-label="Found Error? Edit this page on GitHub" class="nav-link vp-meta-label"><!--[--><svg xmlns="http://www.w3.org/2000/svg" class="icon edit-icon" viewBox="0 0 1024 1024" fill="currentColor" aria-label="edit icon"><path d="M430.818 653.65a60.46 60.46 0 0 1-50.96-93.281l71.69-114.012 7.773-10.365L816.038 80.138A60.46 60.46 0 0 1 859.225 62a60.46 60.46 0 0 1 43.186 18.138l43.186 43.186a60.46 60.46 0 0 1 0 86.373L588.879 565.55l-8.637 8.637-117.466 68.234a60.46 60.46 0 0 1-31.958 11.229z"></path><path d="M728.802 962H252.891A190.883 190.883 0 0 1 62.008 771.98V296.934a190.883 190.883 0 0 1 190.883-192.61h267.754a60.46 60.46 0 0 1 0 120.92H252.891a69.962 69.962 0 0 0-69.098 69.099V771.98a69.962 69.962 0 0 0 69.098 69.098h475.911A69.962 69.962 0 0 0 797.9 771.98V503.363a60.46 60.46 0 1 1 120.922 0V771.98A190.883 190.883 0 0 1 728.802 962z"></path></svg><!--]-->Found Error? Edit this page on GitHub<span><svg class="external-link-icon" xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path><polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg><span class="external-link-icon-sr-only">open in new window</span></span><!----></a></div><div class="vp-meta-item git-info"><div class="update-time"><span class="vp-meta-label">Last update: </span><!----></div><!----></div></footer><nav class="vp-page-nav"><a class="route-link nav-link prev" href="/UserGuide/V1.1.x/Operators-Functions/Aggregation.html" aria-label="Aggregation"><div class="hint"><span class="arrow start"></span>Prev</div><div class="link"><!---->Aggregation</div></a><a class="route-link nav-link next" href="/UserGuide/V1.1.x/Operators-Functions/Comparison.html" aria-label="Comparison"><div class="hint">Next<span class="arrow end"></span></div><div class="link">Comparison<!----></div></a></nav><!----><!--[--><!----><!--]--><!--]--></main><!--]--><footer style="padding-bottom:2rem;"><span id="doc-version" style="display:none;">rel/1.1</span><p style="text-align:center;color:#909399;font-size:12px;margin:0 30px;">Copyright © 2024 The Apache Software Foundation.<br> Apache and the Apache feather logo are trademarks of The Apache Software Foundation</p><p style="text-align:center;margin-top:10px;color:#909399;font-size:12px;margin:0 30px;"><strong>Have a question?</strong> Connect with us on QQ, WeChat, or Slack. <a href="https://github.com/apache/iotdb/issues/1995">Join the community</a> now.</p></footer></div><!--]--><!--]--><!--[--><!----><!--]--><!--]--></div>
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