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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-13 14:07:11 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-13 14:07:11 +0000 |
commit | 63847496f14c813a5d80efd5b7de0f1294ffe1e3 (patch) | |
tree | 01c7571c7c762ceee70638549a99834fdd7c411b /www/lang_mathfunc.html | |
parent | Initial commit. (diff) | |
download | sqlite3-63847496f14c813a5d80efd5b7de0f1294ffe1e3.tar.xz sqlite3-63847496f14c813a5d80efd5b7de0f1294ffe1e3.zip |
Adding upstream version 3.45.1.upstream/3.45.1
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'www/lang_mathfunc.html')
-rw-r--r-- | www/lang_mathfunc.html | 319 |
1 files changed, 319 insertions, 0 deletions
diff --git a/www/lang_mathfunc.html b/www/lang_mathfunc.html new file mode 100644 index 0000000..6379e34 --- /dev/null +++ b/www/lang_mathfunc.html @@ -0,0 +1,319 @@ +<!DOCTYPE html> +<html><head> +<meta name="viewport" content="width=device-width, initial-scale=1.0"> +<meta http-equiv="content-type" content="text/html; charset=UTF-8"> +<link href="sqlite.css" rel="stylesheet"> +<title>Built-In Mathematical SQL Functions</title> +<!-- path= --> +</head> +<body> +<div class=nosearch> +<a href="index.html"> +<img class="logo" src="images/sqlite370_banner.gif" alt="SQLite" border="0"> +</a> +<div><!-- IE hack to prevent disappearing logo --></div> +<div class="tagline desktoponly"> +Small. Fast. Reliable.<br>Choose any three. +</div> +<div class="menu mainmenu"> +<ul> +<li><a href="index.html">Home</a> +<li class='mobileonly'><a href="javascript:void(0)" onclick='toggle_div("submenu")'>Menu</a> +<li class='wideonly'><a href='about.html'>About</a> +<li class='desktoponly'><a href="docs.html">Documentation</a> +<li class='desktoponly'><a href="download.html">Download</a> +<li class='wideonly'><a href='copyright.html'>License</a> +<li class='desktoponly'><a href="support.html">Support</a> +<li class='desktoponly'><a href="prosupport.html">Purchase</a> +<li class='search' id='search_menubutton'> +<a href="javascript:void(0)" onclick='toggle_search()'>Search</a> +</ul> +</div> +<div class="menu submenu" id="submenu"> +<ul> +<li><a href='about.html'>About</a> +<li><a href='docs.html'>Documentation</a> +<li><a href='download.html'>Download</a> +<li><a href='support.html'>Support</a> +<li><a href='prosupport.html'>Purchase</a> +</ul> +</div> +<div class="searchmenu" id="searchmenu"> +<form method="GET" action="search"> +<select name="s" id="searchtype"> +<option value="d">Search Documentation</option> +<option value="c">Search Changelog</option> +</select> +<input type="text" name="q" id="searchbox" value=""> +<input type="submit" value="Go"> +</form> +</div> +</div> +<script> +function toggle_div(nm) { +var w = document.getElementById(nm); +if( w.style.display=="block" ){ +w.style.display = "none"; +}else{ +w.style.display = "block"; +} +} +function toggle_search() { +var w = document.getElementById("searchmenu"); +if( w.style.display=="block" ){ +w.style.display = "none"; +} else { +w.style.display = "block"; +setTimeout(function(){ +document.getElementById("searchbox").focus() +}, 30); +} +} +function div_off(nm){document.getElementById(nm).style.display="none";} +window.onbeforeunload = function(e){div_off("submenu");} +/* Disable the Search feature if we are not operating from CGI, since */ +/* Search is accomplished using CGI and will not work without it. */ +if( !location.origin || !location.origin.match || !location.origin.match(/http/) ){ +document.getElementById("search_menubutton").style.display = "none"; +} +/* Used by the Hide/Show button beside syntax diagrams, to toggle the */ +function hideorshow(btn,obj){ +var x = document.getElementById(obj); +var b = document.getElementById(btn); +if( x.style.display!='none' ){ +x.style.display = 'none'; +b.innerHTML='show'; +}else{ +x.style.display = ''; +b.innerHTML='hide'; +} +return false; +} +var antiRobot = 0; +function antiRobotGo(){ +if( antiRobot!=3 ) return; +antiRobot = 7; +var j = document.getElementById("mtimelink"); +if(j && j.hasAttribute("data-href")) j.href=j.getAttribute("data-href"); +} +function antiRobotDefense(){ +document.body.onmousedown=function(){ +antiRobot |= 2; +antiRobotGo(); +document.body.onmousedown=null; +} +document.body.onmousemove=function(){ +antiRobot |= 2; +antiRobotGo(); +document.body.onmousemove=null; +} +setTimeout(function(){ +antiRobot |= 1; +antiRobotGo(); +}, 100) +antiRobotGo(); +} +antiRobotDefense(); +</script> +<div class=fancy> +<div class=nosearch> +<div class="fancy_title"> +Built-In Mathematical SQL Functions +</div> +</div> + + + + + +<h1 id="overview"><span>1. </span>Overview</h1> + +<p>The math functions shown below are a subgroup of +<a href="lang_corefunc.html">scalar functions</a> that are built into the +<a href="amalgamation.html">SQLite amalgamation source file</a> but are only active +if the amalgamation is compiled using the +<a href="compile.html#enable_math_functions">-DSQLITE_ENABLE_MATH_FUNCTIONS</a> compile-time option. + +</p><p>The arguments to math functions can be integers, floating-point numbers, +or strings or blobs that look like integers or real numbers. If any argument +is NULL or is a string or blob that is not readily converted into a number, +then the function will return NULL. +These functions also return NULL for domain errors, such as trying to +take the square root of a negative number, or compute the arccosine of a +value greater than 1.0 or less than -1.0. + +</p><p>The values returned by these functions are often approximations. +For example, the <a href="lang_mathfunc.html#pi">pi()</a> function returns +3.141592653589793115997963468544185161590576171875 which +is about 1.22465e-16 too small, but it is the closest approximation available +for IEEE754 doubles. + +<p> +<div class='columns' style='columns: 15em auto;'> +<ul style='padding-top:0;'> +<li><a href='lang_mathfunc.html#acos'>acos(X)</a></li> +<li><a href='lang_mathfunc.html#acosh'>acosh(X)</a></li> +<li><a href='lang_mathfunc.html#asin'>asin(X)</a></li> +<li><a href='lang_mathfunc.html#asinh'>asinh(X)</a></li> +<li><a href='lang_mathfunc.html#atan'>atan(X)</a></li> +<li><a href='lang_mathfunc.html#atan2'>atan2(Y,X)</a></li> +<li><a href='lang_mathfunc.html#atanh'>atanh(X)</a></li> +<li><a href='lang_mathfunc.html#ceil'>ceil(X)</a></li> +<li><a href='lang_mathfunc.html#ceil'>ceiling(X)</a></li> +<li><a href='lang_mathfunc.html#cos'>cos(X)</a></li> +<li><a href='lang_mathfunc.html#cosh'>cosh(X)</a></li> +<li><a href='lang_mathfunc.html#degrees'>degrees(X)</a></li> +<li><a href='lang_mathfunc.html#exp'>exp(X)</a></li> +<li><a href='lang_mathfunc.html#floor'>floor(X)</a></li> +<li><a href='lang_mathfunc.html#ln'>ln(X)</a></li> +<li><a href='lang_mathfunc.html#log'>log(B,X)</a></li> +<li><a href='lang_mathfunc.html#log'>log(X)</a></li> +<li><a href='lang_mathfunc.html#log'>log10(X)</a></li> +<li><a href='lang_mathfunc.html#log2'>log2(X)</a></li> +<li><a href='lang_mathfunc.html#mod'>mod(X,Y)</a></li> +<li><a href='lang_mathfunc.html#pi'>pi()</a></li> +<li><a href='lang_mathfunc.html#pow'>pow(X,Y)</a></li> +<li><a href='lang_mathfunc.html#pow'>power(X,Y)</a></li> +<li><a href='lang_mathfunc.html#radians'>radians(X)</a></li> +<li><a href='lang_mathfunc.html#sin'>sin(X)</a></li> +<li><a href='lang_mathfunc.html#sinh'>sinh(X)</a></li> +<li><a href='lang_mathfunc.html#sqrt'>sqrt(X)</a></li> +<li><a href='lang_mathfunc.html#tan'>tan(X)</a></li> +<li><a href='lang_mathfunc.html#tanh'>tanh(X)</a></li> +<li><a href='lang_mathfunc.html#trunc'>trunc(X)</a></li> +</ul> +</div> + + +</p><h1 id="descriptions_of_built_in_scalar_sql_math_functions"><span>2. </span>Descriptions of built-in scalar SQL math functions</h1> +<dl> + +<a name="acos"></a> +<dt><p><b>acos(<i>X</i>)</b></dt><dd><p> + Return the arccosine of X. The result is in radians. +</dd> +<a name="acosh"></a> +<dt><p><b>acosh(<i>X</i>)</b></dt><dd><p> + Return the hyperbolic arccosine of X. +</dd> +<a name="asin"></a> +<dt><p><b>asin(<i>X</i>)</b></dt><dd><p> + Return the arcsine of X. The result is in radians. +</dd> +<a name="asinh"></a> +<dt><p><b>asinh(<i>X</i>)</b></dt><dd><p> + Return the hyperbolic arcsine of X. +</dd> +<a name="atan"></a> +<dt><p><b>atan(<i>X</i>)</b></dt><dd><p> + Return the arctangent of X. The result is in radians. +</dd> +<a name="atan2"></a> +<dt><p><b>atan2(<i>Y</i>,<i>X</i>)</b></dt><dd><p> + Return the arctangent of Y/X. The result is in radians. The + result is placed into correct quadrant depending on the signs + of X and Y. +</dd> +<a name="atanh"></a> +<dt><p><b>atanh(<i>X</i>)</b></dt><dd><p> + Return the hyperbolic arctangent of X. +</dd> +<a name="ceil"></a> +<dt><p><b>ceil(<i>X</i>)<br />ceiling(<i>X</i>)</b></dt><dd><p> + Return the first representable integer value greater than or equal to X. + For positive values of X, this routine rounds away from zero. + For negative values of X, this routine rounds toward zero. +</dd> +<a name="cos"></a> +<dt><p><b>cos(<i>X</i>)</b></dt><dd><p> + Return the cosine of X. X is in radians. +</dd> +<a name="cosh"></a> +<dt><p><b>cosh(<i>X</i>)</b></dt><dd><p> + Return the hyperbolic cosine of X. +</dd> +<a name="degrees"></a> +<dt><p><b>degrees(<i>X</i>)</b></dt><dd><p> + Convert value X from radians into degrees. +</dd> +<a name="exp"></a> +<dt><p><b>exp(<i>X</i>)</b></dt><dd><p> + Compute <i>e</i> (Euler's number, approximately 2.71828182845905) raised + to the power X. +</dd> +<a name="floor"></a> +<dt><p><b>floor(<i>X</i>)</b></dt><dd><p> + Return the first representable integer value less than or equal to X. + For positive numbers, this function rounds toward zero. + For negative numbers, this function rounds away from zero. +</dd> +<a name="ln"></a> +<dt><p><b>ln(<i>X</i>)</b></dt><dd><p> + Return the natural logarithm of X. +</dd> +<a name="log"></a> +<dt><p><b>log(<i>X</i>)<br />log10(<i>X</i>)<br />log(<i>B</i>,<i>X</i>)</b></dt><dd><p> + Return the base-10 logarithm for X. Or, for the two-argument version, + return the base-B logarithm of X. + <p> + Compatibility note: SQLite works like PostgreSQL in that the log() function + computes a base-10 logarithm. Most other SQL database engines compute a + natural logarithm for log(). In the two-argument version of log(B,X), the + first argument is the base and the second argument is the operand. This is + the same as in PostgreSQL and MySQL, but is reversed from SQL Server which + uses the second argument as the base and the first argument as the operand. +</dd> +<a name="log2"></a> +<dt><p><b>log2(<i>X</i>)</b></dt><dd><p> + Return the logarithm base-2 for the number X. +</dd> +<a name="mod"></a> +<dt><p><b>mod(<i>X</i>,<i>Y</i>)</b></dt><dd><p> + Return the remainder after dividing X by Y. This is similar to the '%' + operator, except that it works for non-integer arguments. +</dd> +<a name="pi"></a> +<dt><p><b>pi()</b></dt><dd><p> + Return an approximation for π. +</dd> +<a name="pow"></a> +<dt><p><b>pow(<i>X</i>,<i>Y</i>)<br />power(<i>X</i>,<i>Y</i>)</b></dt><dd><p> + Compute X raised to the power Y. +</dd> +<a name="radians"></a> +<dt><p><b>radians(<i>X</i>)</b></dt><dd><p> + Convert X from degrees into radians. +</dd> +<a name="sin"></a> +<dt><p><b>sin(<i>X</i>)</b></dt><dd><p> + Return the sine of X. X is in radians. +</dd> +<a name="sinh"></a> +<dt><p><b>sinh(<i>X</i>)</b></dt><dd><p> + Return the hyperbolic sine of X. +</dd> +<a name="sqrt"></a> +<dt><p><b>sqrt(<i>X</i>)</b></dt><dd><p> + Return the square root of X. NULL is returned if X is negative. +</dd> +<a name="tan"></a> +<dt><p><b>tan(<i>X</i>)</b></dt><dd><p> + Return the tangent of X. X is in radians. +</dd> +<a name="tanh"></a> +<dt><p><b>tanh(<i>X</i>)</b></dt><dd><p> + Return the hyperbolic tangent of X. +</dd> +<a name="trunc"></a> +<dt><p><b>trunc(<i>X</i>)</b></dt><dd><p> + Return the representable integer in between X and 0 (inclusive) + that is furthest away from zero. Or, in other words, return the + integer part of X, rounding toward zero. + The trunc() function is similar to <a href="lang_mathfunc.html#ceil">ceiling(X)</a> and <a href="lang_mathfunc.html#floor">floor(X)</a> except + that it always rounds toward zero whereas ceiling(X) and floor(X) round + up and down, respectively. +</dd> + +</dl> +<p align="center"><small><i>This page last modified on <a href="https://sqlite.org/docsrc/honeypot" id="mtimelink" data-href="https://sqlite.org/docsrc/finfo/pages/lang_mathfunc.in?m=5307cdcb91">2023-12-05 14:43:20</a> UTC </small></i></p> + |