| <!DOCTYPE html> | 
 | <html lang="en"> | 
 |   <head> | 
 |     <meta charset="UTF-8" /> | 
 | <meta name="viewport" content="width=device-width, initial-scale=1.0"> | 
 | <meta name="description" content="Apache Druid"> | 
 | <meta name="keywords" content="druid,kafka,database,analytics,streaming,real-time,real time,apache,open source"> | 
 | <meta name="author" content="Apache Software Foundation"> | 
 |  | 
 | <title>Druid | Apache Druid (incubating) Expressions</title> | 
 |  | 
 | <link rel="alternate" type="application/atom+xml" href="/feed"> | 
 | <link rel="shortcut icon" href="/img/favicon.png"> | 
 |  | 
 | <link rel="stylesheet" href="https://use.fontawesome.com/releases/v5.7.2/css/all.css" integrity="sha384-fnmOCqbTlWIlj8LyTjo7mOUStjsKC4pOpQbqyi7RrhN7udi9RwhKkMHpvLbHG9Sr" crossorigin="anonymous"> | 
 |  | 
 | <link href='//fonts.googleapis.com/css?family=Open+Sans+Condensed:300,700,300italic|Open+Sans:300italic,400italic,600italic,400,300,600,700' rel='stylesheet' type='text/css'> | 
 |  | 
 | <link rel="stylesheet" href="/css/bootstrap-pure.css?v=1.1"> | 
 | <link rel="stylesheet" href="/css/base.css?v=1.1"> | 
 | <link rel="stylesheet" href="/css/header.css?v=1.1"> | 
 | <link rel="stylesheet" href="/css/footer.css?v=1.1"> | 
 | <link rel="stylesheet" href="/css/syntax.css?v=1.1"> | 
 | <link rel="stylesheet" href="/css/docs.css?v=1.1"> | 
 |  | 
 | <script> | 
 |   (function() { | 
 |     var cx = '000162378814775985090:molvbm0vggm'; | 
 |     var gcse = document.createElement('script'); | 
 |     gcse.type = 'text/javascript'; | 
 |     gcse.async = true; | 
 |     gcse.src = (document.location.protocol == 'https:' ? 'https:' : 'http:') + | 
 |         '//cse.google.com/cse.js?cx=' + cx; | 
 |     var s = document.getElementsByTagName('script')[0]; | 
 |     s.parentNode.insertBefore(gcse, s); | 
 |   })(); | 
 | </script> | 
 |  | 
 |  | 
 |   </head> | 
 |  | 
 |   <body> | 
 |     <!-- Start page_header include --> | 
 | <script src="//ajax.googleapis.com/ajax/libs/jquery/2.2.4/jquery.min.js"></script> | 
 |  | 
 | <div class="top-navigator"> | 
 |   <div class="container"> | 
 |     <div class="left-cont"> | 
 |       <a class="logo" href="/"><span class="druid-logo"></span></a> | 
 |     </div> | 
 |     <div class="right-cont"> | 
 |       <ul class="links"> | 
 |         <li class=""><a href="/technology">Technology</a></li> | 
 |         <li class=""><a href="/use-cases">Use Cases</a></li> | 
 |         <li class=""><a href="/druid-powered">Powered By</a></li> | 
 |         <li class=""><a href="/docs/latest/design/">Docs</a></li> | 
 |         <li class=""><a href="/community/">Community</a></li> | 
 |         <li class="header-dropdown"> | 
 |           <a>Apache</a> | 
 |           <div class="header-dropdown-menu"> | 
 |             <a href="https://www.apache.org/" target="_blank">Foundation</a> | 
 |             <a href="https://www.apache.org/events/current-event" target="_blank">Events</a> | 
 |             <a href="https://www.apache.org/licenses/" target="_blank">License</a> | 
 |             <a href="https://www.apache.org/foundation/thanks.html" target="_blank">Thanks</a> | 
 |             <a href="https://www.apache.org/security/" target="_blank">Security</a> | 
 |             <a href="https://www.apache.org/foundation/sponsorship.html" target="_blank">Sponsorship</a> | 
 |           </div> | 
 |         </li> | 
 |         <li class=" button-link"><a href="/downloads.html">Download</a></li> | 
 |       </ul> | 
 |     </div> | 
 |   </div> | 
 |   <div class="action-button menu-icon"> | 
 |     <span class="fa fa-bars"></span> MENU | 
 |   </div> | 
 |   <div class="action-button menu-icon-close"> | 
 |     <span class="fa fa-times"></span> MENU | 
 |   </div> | 
 | </div> | 
 |  | 
 | <script type="text/javascript"> | 
 |   var $menu = $('.right-cont'); | 
 |   var $menuIcon = $('.menu-icon'); | 
 |   var $menuIconClose = $('.menu-icon-close'); | 
 |  | 
 |   function showMenu() { | 
 |     $menu.fadeIn(100); | 
 |     $menuIcon.fadeOut(100); | 
 |     $menuIconClose.fadeIn(100); | 
 |   } | 
 |  | 
 |   $menuIcon.click(showMenu); | 
 |  | 
 |   function hideMenu() { | 
 |     $menu.fadeOut(100); | 
 |     $menuIconClose.fadeOut(100); | 
 |     $menuIcon.fadeIn(100); | 
 |   } | 
 |  | 
 |   $menuIconClose.click(hideMenu); | 
 |  | 
 |   $(window).resize(function() { | 
 |     if ($(window).width() >= 840) { | 
 |       $menu.fadeIn(100); | 
 |       $menuIcon.fadeOut(100); | 
 |       $menuIconClose.fadeOut(100); | 
 |     } | 
 |     else { | 
 |       $menu.fadeOut(100); | 
 |       $menuIcon.fadeIn(100); | 
 |       $menuIconClose.fadeOut(100); | 
 |     } | 
 |   }); | 
 | </script> | 
 |  | 
 | <!-- Stop page_header include --> | 
 |  | 
 |  | 
 |     <div class="container doc-container"> | 
 |        | 
 |        | 
 |  | 
 |        | 
 |       <p> Looking for the <a href="/docs/0.19.0/">latest stable documentation</a>?</p> | 
 |        | 
 |  | 
 |       <div class="row"> | 
 |         <div class="col-md-9 doc-content"> | 
 |           <p> | 
 |             <a class="btn btn-default btn-xs visible-xs-inline-block visible-sm-inline-block" href="#toc">Table of Contents</a> | 
 |           </p> | 
 |           <!-- | 
 |   ~ Licensed to the Apache Software Foundation (ASF) under one | 
 |   ~ or more contributor license agreements.  See the NOTICE file | 
 |   ~ distributed with this work for additional information | 
 |   ~ regarding copyright ownership.  The ASF licenses this file | 
 |   ~ to you under the Apache License, Version 2.0 (the | 
 |   ~ "License"); you may not use this file except in compliance | 
 |   ~ with the License.  You may obtain a copy of the License at | 
 |   ~ | 
 |   ~   http://www.apache.org/licenses/LICENSE-2.0 | 
 |   ~ | 
 |   ~ Unless required by applicable law or agreed to in writing, | 
 |   ~ software distributed under the License is distributed on an | 
 |   ~ "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY | 
 |   ~ KIND, either express or implied.  See the License for the | 
 |   ~ specific language governing permissions and limitations | 
 |   ~ under the License. | 
 |   --> | 
 |  | 
 | <h1 id="apache-druid-incubating-expressions">Apache Druid (incubating) Expressions</h1> | 
 |  | 
 | <div class="note info"> | 
 | This feature is still experimental. It has not been optimized for performance yet, and its implementation is known to have significant inefficiencies. | 
 | </div> | 
 |   | 
 |  | 
 | <p>This expression language supports the following operators (listed in decreasing order of precedence).</p> | 
 |  | 
 | <table><thead> | 
 | <tr> | 
 | <th>Operators</th> | 
 | <th>Description</th> | 
 | </tr> | 
 | </thead><tbody> | 
 | <tr> | 
 | <td>!, -</td> | 
 | <td>Unary NOT and Minus</td> | 
 | </tr> | 
 | <tr> | 
 | <td>^</td> | 
 | <td>Binary power op</td> | 
 | </tr> | 
 | <tr> | 
 | <td>*, /, %</td> | 
 | <td>Binary multiplicative</td> | 
 | </tr> | 
 | <tr> | 
 | <td>+, -</td> | 
 | <td>Binary additive</td> | 
 | </tr> | 
 | <tr> | 
 | <td><, <=, >, >=, ==, !=</td> | 
 | <td>Binary Comparison</td> | 
 | </tr> | 
 | <tr> | 
 | <td>&&, |</td> | 
 | <td>Binary Logical AND, OR</td> | 
 | </tr> | 
 | </tbody></table> | 
 |  | 
 | <p>Long, double, and string data types are supported. If a number contains a dot, it is interpreted as a double, otherwise it is interpreted as a long. That means, always add a '.' to your number if you want it interpreted as a double value. String literals should be quoted by single quotation marks.</p> | 
 |  | 
 | <p>Multi-value types are not fully supported yet. Expressions may behave inconsistently on multi-value types, and you | 
 | should not rely on the behavior in this case to stay the same in future releases.</p> | 
 |  | 
 | <p>Expressions can contain variables. Variable names may contain letters, digits, '_' and '$'. Variable names must not begin with a digit. To escape other special characters, you can quote it with double quotation marks.</p> | 
 |  | 
 | <p>For logical operators, a number is true if and only if it is positive (0 or negative value means false). For string type, it's the evaluation result of 'Boolean.valueOf(string)'.</p> | 
 |  | 
 | <p>The following built-in functions are available.</p> | 
 |  | 
 | <h2 id="general-functions">General functions</h2> | 
 |  | 
 | <table><thead> | 
 | <tr> | 
 | <th>name</th> | 
 | <th>description</th> | 
 | </tr> | 
 | </thead><tbody> | 
 | <tr> | 
 | <td>cast</td> | 
 | <td>cast(expr,'LONG' or 'DOUBLE' or 'STRING') returns expr with specified type. exception can be thrown</td> | 
 | </tr> | 
 | <tr> | 
 | <td>if</td> | 
 | <td>if(predicate,then,else) returns 'then' if 'predicate' evaluates to a positive number, otherwise it returns 'else'</td> | 
 | </tr> | 
 | <tr> | 
 | <td>nvl</td> | 
 | <td>nvl(expr,expr-for-null) returns 'expr-for-null' if 'expr' is null (or empty string for string type)</td> | 
 | </tr> | 
 | <tr> | 
 | <td>like</td> | 
 | <td>like(expr, pattern[, escape]) is equivalent to SQL <code>expr LIKE pattern</code></td> | 
 | </tr> | 
 | <tr> | 
 | <td>case_searched</td> | 
 | <td>case_searched(expr1, result1, [[expr2, result2, ...], else-result])</td> | 
 | </tr> | 
 | <tr> | 
 | <td>case_simple</td> | 
 | <td>case_simple(expr, value1, result1, [[value2, result2, ...], else-result])</td> | 
 | </tr> | 
 | <tr> | 
 | <td>bloom_filter_test</td> | 
 | <td>bloom_filter_test(expr, filter) tests the value of 'expr' against 'filter', a bloom filter serialized as a base64 string. See <a href="../development/extensions-core/bloom-filter.html">bloom filter extension</a> documentation for additional details.</td> | 
 | </tr> | 
 | </tbody></table> | 
 |  | 
 | <h2 id="string-functions">String functions</h2> | 
 |  | 
 | <table><thead> | 
 | <tr> | 
 | <th>name</th> | 
 | <th>description</th> | 
 | </tr> | 
 | </thead><tbody> | 
 | <tr> | 
 | <td>concat</td> | 
 | <td>concat(expr, expr...) concatenate a list of strings</td> | 
 | </tr> | 
 | <tr> | 
 | <td>format</td> | 
 | <td>format(pattern[, args...]) returns a string formatted in the manner of Java's <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/String.html#format-java.lang.String-java.lang.Object...-">String.format</a>.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>like</td> | 
 | <td>like(expr, pattern[, escape]) is equivalent to SQL <code>expr LIKE pattern</code></td> | 
 | </tr> | 
 | <tr> | 
 | <td>lookup</td> | 
 | <td>lookup(expr, lookup-name) looks up expr in a registered <a href="../querying/lookups.html">query-time lookup</a></td> | 
 | </tr> | 
 | <tr> | 
 | <td>parse_long</td> | 
 | <td>parse_long(string[, radix]) parses a string as a long with the given radix, or 10 (decimal) if a radix is not provided.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>regexp_extract</td> | 
 | <td>regexp_extract(expr, pattern[, index]) applies a regular expression pattern and extracts a capture group index, or null if there is no match. If index is unspecified or zero, returns the substring that matched the pattern.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>replace</td> | 
 | <td>replace(expr, pattern, replacement) replaces pattern with replacement</td> | 
 | </tr> | 
 | <tr> | 
 | <td>substring</td> | 
 | <td>substring(expr, index, length) behaves like java.lang.String's substring</td> | 
 | </tr> | 
 | <tr> | 
 | <td>right</td> | 
 | <td>right(expr, length) returns the rightmost length characters from a string</td> | 
 | </tr> | 
 | <tr> | 
 | <td>left</td> | 
 | <td>left(expr, length) returns the leftmost length characters from a string</td> | 
 | </tr> | 
 | <tr> | 
 | <td>strlen</td> | 
 | <td>strlen(expr) returns length of a string in UTF-16 code units</td> | 
 | </tr> | 
 | <tr> | 
 | <td>strpos</td> | 
 | <td>strpos(haystack, needle[, fromIndex]) returns the position of the needle within the haystack, with indexes starting from 0. The search will begin at fromIndex, or 0 if fromIndex is not specified. If the needle is not found then the function returns -1.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>trim</td> | 
 | <td>trim(expr[, chars]) remove leading and trailing characters from <code>expr</code> if they are present in <code>chars</code>. <code>chars</code> defaults to ' ' (space) if not provided.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>ltrim</td> | 
 | <td>ltrim(expr[, chars]) remove leading characters from <code>expr</code> if they are present in <code>chars</code>. <code>chars</code> defaults to ' ' (space) if not provided.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>rtrim</td> | 
 | <td>rtrim(expr[, chars]) remove trailing characters from <code>expr</code> if they are present in <code>chars</code>. <code>chars</code> defaults to ' ' (space) if not provided.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>lower</td> | 
 | <td>lower(expr) converts a string to lowercase</td> | 
 | </tr> | 
 | <tr> | 
 | <td>upper</td> | 
 | <td>upper(expr) converts a string to uppercase</td> | 
 | </tr> | 
 | <tr> | 
 | <td>reverse</td> | 
 | <td>reverse(expr) reverses a string</td> | 
 | </tr> | 
 | <tr> | 
 | <td>repeat</td> | 
 | <td>repeat(expr, N) repeats a string N times</td> | 
 | </tr> | 
 | <tr> | 
 | <td>lpad</td> | 
 | <td>lpad(expr, length, chars) returns a string of <code>length</code> from <code>expr</code> left-padded with <code>chars</code>. If <code>length</code> is shorter than the length of <code>expr</code>, the result is <code>expr</code> which is truncated to <code>length</code>. If either <code>expr</code> or <code>chars</code> are null, the result will be null.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>rpad</td> | 
 | <td>rpad(expr, length, chars) returns a string of <code>length</code> from <code>expr</code> right-padded with <code>chars</code>. If <code>length</code> is shorter than the length of <code>expr</code>, the result is <code>expr</code> which is truncated to <code>length</code>. If either <code>expr</code> or <code>chars</code> are null, the result will be null.</td> | 
 | </tr> | 
 | </tbody></table> | 
 |  | 
 | <h2 id="time-functions">Time functions</h2> | 
 |  | 
 | <table><thead> | 
 | <tr> | 
 | <th>name</th> | 
 | <th>description</th> | 
 | </tr> | 
 | </thead><tbody> | 
 | <tr> | 
 | <td>timestamp</td> | 
 | <td>timestamp(expr[,format-string]) parses string expr into date then returns milli-seconds from java epoch. without 'format-string' it's regarded as ISO datetime format</td> | 
 | </tr> | 
 | <tr> | 
 | <td>unix_timestamp</td> | 
 | <td>same with 'timestamp' function but returns seconds instead</td> | 
 | </tr> | 
 | <tr> | 
 | <td>timestamp_ceil</td> | 
 | <td>timestamp_ceil(expr, period, [origin, [timezone]]) rounds up a timestamp, returning it as a new timestamp. Period can be any ISO8601 period, like P3M (quarters) or PT12H (half-days). The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".</td> | 
 | </tr> | 
 | <tr> | 
 | <td>timestamp_floor</td> | 
 | <td>timestamp_floor(expr, period, [origin, [timezone]]) rounds down a timestamp, returning it as a new timestamp. Period can be any ISO8601 period, like P3M (quarters) or PT12H (half-days). The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".</td> | 
 | </tr> | 
 | <tr> | 
 | <td>timestamp_shift</td> | 
 | <td>timestamp_shift(expr, period, step, [timezone]) shifts a timestamp by a period (step times), returning it as a new timestamp. Period can be any ISO8601 period. Step may be negative. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00".</td> | 
 | </tr> | 
 | <tr> | 
 | <td>timestamp_extract</td> | 
 | <td>timestamp_extract(expr, unit, [timezone]) extracts a time part from expr, returning it as a number. Unit can be EPOCH (number of seconds since 1970-01-01 00:00:00 UTC), SECOND, MINUTE, HOUR, DAY (day of month), DOW (day of week), DOY (day of year), WEEK (week of <a href="https://en.wikipedia.org/wiki/ISO_week_date">week year</a>), MONTH (1 through 12), QUARTER (1 through 4), or YEAR. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00"</td> | 
 | </tr> | 
 | <tr> | 
 | <td>timestamp_parse</td> | 
 | <td>timestamp_parse(string expr, [pattern, [timezone]]) parses a string into a timestamp using a given <a href="http://www.joda.org/joda-time/apidocs/org/joda/time/format/DateTimeFormat.html">Joda DateTimeFormat pattern</a>. If the pattern is not provided, this parses time strings in either ISO8601 or SQL format. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00", and will be used as the time zone for strings that do not include a time zone offset. Pattern and time zone must be literals. Strings that cannot be parsed as timestamps will be returned as nulls.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>timestamp_format</td> | 
 | <td>timestamp_format(expr, [pattern, [timezone]]) formats a timestamp as a string with a given <a href="http://www.joda.org/joda-time/apidocs/org/joda/time/format/DateTimeFormat.html">Joda DateTimeFormat pattern</a>, or ISO8601 if the pattern is not provided. The time zone, if provided, should be a time zone name like "America/Los_Angeles" or offset like "-08:00". Pattern and time zone must be literals.</td> | 
 | </tr> | 
 | </tbody></table> | 
 |  | 
 | <h2 id="math-functions">Math functions</h2> | 
 |  | 
 | <p>See javadoc of java.lang.Math for detailed explanation for each function.</p> | 
 |  | 
 | <table><thead> | 
 | <tr> | 
 | <th>name</th> | 
 | <th>description</th> | 
 | </tr> | 
 | </thead><tbody> | 
 | <tr> | 
 | <td>abs</td> | 
 | <td>abs(x) would return the absolute value of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>acos</td> | 
 | <td>acos(x) would return the arc cosine of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>asin</td> | 
 | <td>asin(x) would return the arc sine of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>atan</td> | 
 | <td>atan(x) would return the arc tangent of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>atan2</td> | 
 | <td>atan2(y, x) would return the angle theta from the conversion of rectangular coordinates (x, y) to polar * coordinates (r, theta)</td> | 
 | </tr> | 
 | <tr> | 
 | <td>cbrt</td> | 
 | <td>cbrt(x) would return the cube root of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>ceil</td> | 
 | <td>ceil(x) would return the smallest (closest to negative infinity) double value that is greater than or equal to x and is equal to a mathematical integer</td> | 
 | </tr> | 
 | <tr> | 
 | <td>copysign</td> | 
 | <td>copysign(x) would return the first floating-point argument with the sign of the second floating-point argument</td> | 
 | </tr> | 
 | <tr> | 
 | <td>cos</td> | 
 | <td>cos(x) would return the trigonometric cosine of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>cosh</td> | 
 | <td>cosh(x) would return the hyperbolic cosine of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>cot</td> | 
 | <td>cot(x) would return the trigonometric cotangent of an angle x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>div</td> | 
 | <td>div(x,y) is integer division of x by y</td> | 
 | </tr> | 
 | <tr> | 
 | <td>exp</td> | 
 | <td>exp(x) would return Euler's number raised to the power of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>expm1</td> | 
 | <td>expm1(x) would return e^x-1</td> | 
 | </tr> | 
 | <tr> | 
 | <td>floor</td> | 
 | <td>floor(x) would return the largest (closest to positive infinity) double value that is less than or equal to x and is equal to a mathematical integer</td> | 
 | </tr> | 
 | <tr> | 
 | <td>getExponent</td> | 
 | <td>getExponent(x) would return the unbiased exponent used in the representation of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>hypot</td> | 
 | <td>hypot(x, y) would return sqrt(x^2+y^2) without intermediate overflow or underflow</td> | 
 | </tr> | 
 | <tr> | 
 | <td>log</td> | 
 | <td>log(x) would return the natural logarithm of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>log10</td> | 
 | <td>log10(x) would return the base 10 logarithm of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>log1p</td> | 
 | <td>log1p(x) would the natural logarithm of x + 1</td> | 
 | </tr> | 
 | <tr> | 
 | <td>max</td> | 
 | <td>max(x, y) would return the greater of two values</td> | 
 | </tr> | 
 | <tr> | 
 | <td>min</td> | 
 | <td>min(x, y) would return the smaller of two values</td> | 
 | </tr> | 
 | <tr> | 
 | <td>nextafter</td> | 
 | <td>nextafter(x, y) would return the floating-point number adjacent to the x in the direction of the y</td> | 
 | </tr> | 
 | <tr> | 
 | <td>nextUp</td> | 
 | <td>nextUp(x) would return the floating-point value adjacent to x in the direction of positive infinity</td> | 
 | </tr> | 
 | <tr> | 
 | <td>pi</td> | 
 | <td>pi would return the constant value of the π</td> | 
 | </tr> | 
 | <tr> | 
 | <td>pow</td> | 
 | <td>pow(x, y) would return the value of the x raised to the power of y</td> | 
 | </tr> | 
 | <tr> | 
 | <td>remainder</td> | 
 | <td>remainder(x, y) would return the remainder operation on two arguments as prescribed by the IEEE 754 standard</td> | 
 | </tr> | 
 | <tr> | 
 | <td>rint</td> | 
 | <td>rint(x) would return value that is closest in value to x and is equal to a mathematical integer</td> | 
 | </tr> | 
 | <tr> | 
 | <td>round</td> | 
 | <td>round(x, y) would return the value of the x rounded to the y decimal places. While x can be an integer or floating-point number, y must be an integer. The type of the return value is specified by that of x. y defaults to 0 if omitted. When y is negative, x is rounded on the left side of the y decimal points.</td> | 
 | </tr> | 
 | <tr> | 
 | <td>scalb</td> | 
 | <td>scalb(d, sf) would return d * 2^sf rounded as if performed by a single correctly rounded floating-point multiply to a member of the double value set</td> | 
 | </tr> | 
 | <tr> | 
 | <td>signum</td> | 
 | <td>signum(x) would return the signum function of the argument x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>sin</td> | 
 | <td>sin(x) would return the trigonometric sine of an angle x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>sinh</td> | 
 | <td>sinh(x) would return the hyperbolic sine of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>sqrt</td> | 
 | <td>sqrt(x) would return the correctly rounded positive square root of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>tan</td> | 
 | <td>tan(x) would return the trigonometric tangent of an angle x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>tanh</td> | 
 | <td>tanh(x) would return the hyperbolic tangent of x</td> | 
 | </tr> | 
 | <tr> | 
 | <td>todegrees</td> | 
 | <td>todegrees(x) converts an angle measured in radians to an approximately equivalent angle measured in degrees</td> | 
 | </tr> | 
 | <tr> | 
 | <td>toradians</td> | 
 | <td>toradians(x) converts an angle measured in degrees to an approximately equivalent angle measured in radians</td> | 
 | </tr> | 
 | <tr> | 
 | <td>ulp</td> | 
 | <td>ulp(x) would return the size of an ulp of the argument x</td> | 
 | </tr> | 
 | </tbody></table> | 
 |  | 
 |         </div> | 
 |         <div class="col-md-3"> | 
 |           <div class="searchbox"> | 
 |             <gcse:searchbox-only></gcse:searchbox-only> | 
 |           </div> | 
 |           <div id="toc" class="nav toc hidden-print"> | 
 |           </div> | 
 |         </div> | 
 |       </div> | 
 |     </div> | 
 |  | 
 |     <!-- Start page_footer include --> | 
 | <footer class="druid-footer"> | 
 | <div class="container"> | 
 |   <div class="text-center"> | 
 |     <p> | 
 |     <a href="/technology">Technology</a> ·  | 
 |     <a href="/use-cases">Use Cases</a> ·  | 
 |     <a href="/druid-powered">Powered by Druid</a> ·  | 
 |     <a href="/docs/latest/">Docs</a> ·  | 
 |     <a href="/community/">Community</a> ·  | 
 |     <a href="/downloads.html">Download</a> ·  | 
 |     <a href="/faq">FAQ</a> | 
 |     </p> | 
 |   </div> | 
 |   <div class="text-center"> | 
 |     <a title="Join the user group" href="https://groups.google.com/forum/#!forum/druid-user" target="_blank"><span class="fa fa-comments"></span></a> ·  | 
 |     <a title="Follow Druid" href="https://twitter.com/druidio" target="_blank"><span class="fab fa-twitter"></span></a> ·  | 
 |     <a title="GitHub" href="https://github.com/apache/druid" target="_blank"><span class="fab fa-github"></span></a> | 
 |   </div> | 
 |   <div class="text-center license"> | 
 |     Copyright © 2020 <a href="https://www.apache.org/" target="_blank">Apache Software Foundation</a>.<br> | 
 |     Except where otherwise noted, licensed under <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">CC BY-SA 4.0</a>.<br> | 
 |     Apache Druid, Druid, and the Druid logo are either registered trademarks or trademarks of The Apache Software Foundation in the United States and other countries. | 
 |   </div> | 
 | </div> | 
 | </footer> | 
 |  | 
 | <script async src="https://www.googletagmanager.com/gtag/js?id=UA-131010415-1"></script> | 
 | <script> | 
 |   window.dataLayer = window.dataLayer || []; | 
 |   function gtag(){dataLayer.push(arguments);} | 
 |   gtag('js', new Date()); | 
 |   gtag('config', 'UA-131010415-1'); | 
 | </script> | 
 | <script> | 
 |   function trackDownload(type, url) { | 
 |     ga('send', 'event', 'download', type, url); | 
 |   } | 
 | </script> | 
 | <script src="//code.jquery.com/jquery.min.js"></script> | 
 | <script src="//maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script> | 
 | <script src="/assets/js/druid.js"></script> | 
 | <!-- stop page_footer include --> | 
 |  | 
 |  | 
 |     <script> | 
 |     $(function() { | 
 |       $(".toc").load("/docs/0.15.0-incubating/toc.html"); | 
 |  | 
 |       // There is no way to tell when .gsc-input will be async loaded into the page so just try to set a placeholder until it works | 
 |       var tries = 0; | 
 |       var timer = setInterval(function() { | 
 |         tries++; | 
 |         if (tries > 300) clearInterval(timer); | 
 |         var searchInput = $('input.gsc-input'); | 
 |         if (searchInput.length) { | 
 |           searchInput.attr('placeholder', 'Search'); | 
 |           clearInterval(timer); | 
 |         } | 
 |       }, 100); | 
 |     }); | 
 |     </script> | 
 |   </body> | 
 | </html> |