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+   <span id="projectnumber">1.9.1</span>
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+   <div id="projectbrief">User Documentation for MADlib</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">array_ops.sql_in File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>implementation of array operations in SQL  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a 
name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a91c8d3715142927b3967f05a4fbf1575"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a91c8d3715142927b3967f05a4fbf1575">array_add</a> 
(anyarray x, anyarray y)</td></tr>
+<tr class="memdesc:a91c8d3715142927b3967f05a4fbf1575"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Adds two arrays. It 
requires that all the values are NON-NULL. Return type is the same as the input 
type.  <a href="#a91c8d3715142927b3967f05a4fbf1575">More...</a><br /></td></tr>
+<tr class="separator:a91c8d3715142927b3967f05a4fbf1575"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a26e8508a2bae10a6574cec697a270eea"><td class="memItemLeft" 
align="right" valign="top">aggregate anyarray&#160;</td><td 
class="memItemRight" valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a26e8508a2bae10a6574cec697a270eea">sum</a> 
(anyarray)</td></tr>
+<tr class="memdesc:a26e8508a2bae10a6574cec697a270eea"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Aggregate, element-wise sum 
of arrays. It requires that all the values are NON-NULL. Return type is the 
same as the input type.  <a 
href="#a26e8508a2bae10a6574cec697a270eea">More...</a><br /></td></tr>
+<tr class="separator:a26e8508a2bae10a6574cec697a270eea"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2875a161a01c7dcdea9a4997b074eefc"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a2875a161a01c7dcdea9a4997b074eefc">array_sub</a> 
(anyarray x, anyarray y)</td></tr>
+<tr class="memdesc:a2875a161a01c7dcdea9a4997b074eefc"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Subtracts two arrays. It 
requires that all the values are NON-NULL. Return type is the same as the input 
type.  <a href="#a2875a161a01c7dcdea9a4997b074eefc">More...</a><br /></td></tr>
+<tr class="separator:a2875a161a01c7dcdea9a4997b074eefc"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a652d70c480d484c4a1a92ded384b0dd7"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a652d70c480d484c4a1a92ded384b0dd7">array_mult</a>
 (anyarray x, anyarray y)</td></tr>
+<tr class="memdesc:a652d70c480d484c4a1a92ded384b0dd7"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Element-wise product of two 
arrays. It requires that all the values are NON-NULL. Return type is the same 
as the input type.  <a href="#a652d70c480d484c4a1a92ded384b0dd7">More...</a><br 
/></td></tr>
+<tr class="separator:a652d70c480d484c4a1a92ded384b0dd7"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6cc05e7052495f8b64692faf40219576"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a6cc05e7052495f8b64692faf40219576">array_div</a> 
(anyarray x, anyarray y)</td></tr>
+<tr class="memdesc:a6cc05e7052495f8b64692faf40219576"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Element-wise division of 
two arrays. It requires that all the values are NON-NULL. Return type is the 
same as the input type.  <a 
href="#a6cc05e7052495f8b64692faf40219576">More...</a><br /></td></tr>
+<tr class="separator:a6cc05e7052495f8b64692faf40219576"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acde10964ed23b7c8da515fb84cb8d5e0"><td class="memItemLeft" 
align="right" valign="top">float8&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#acde10964ed23b7c8da515fb84cb8d5e0">array_dot</a> 
(anyarray x, anyarray y)</td></tr>
+<tr class="memdesc:acde10964ed23b7c8da515fb84cb8d5e0"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Dot-product of two arrays. 
It requires that all the values are NON-NULL. Return type is the same as the 
input type.  <a href="#acde10964ed23b7c8da515fb84cb8d5e0">More...</a><br 
/></td></tr>
+<tr class="separator:acde10964ed23b7c8da515fb84cb8d5e0"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aedf6cb13eb4803bcc12dc4d95ea8ff4e"><td class="memItemLeft" 
align="right" valign="top">bool&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#aedf6cb13eb4803bcc12dc4d95ea8ff4e">array_contains</a>
 (anyarray x, anyarray y)</td></tr>
+<tr class="memdesc:aedf6cb13eb4803bcc12dc4d95ea8ff4e"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Checks whether one array 
contains the other. This function returns TRUE if each non-zero element in the 
right array equals to the element with the same index in the left array.  <a 
href="#aedf6cb13eb4803bcc12dc4d95ea8ff4e">More...</a><br /></td></tr>
+<tr class="separator:aedf6cb13eb4803bcc12dc4d95ea8ff4e"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae891429cc50705c530f3e5ca15541849"><td class="memItemLeft" 
align="right" valign="top">anyelement&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#ae891429cc50705c530f3e5ca15541849">array_max</a> 
(anyarray x)</td></tr>
+<tr class="memdesc:ae891429cc50705c530f3e5ca15541849"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the 
maximum value in the array. NULLs are ignored. Return type is the same as the 
input type.  <a href="#ae891429cc50705c530f3e5ca15541849">More...</a><br 
/></td></tr>
+<tr class="separator:ae891429cc50705c530f3e5ca15541849"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa415256a9064aecc600dfb5e377fb7b1"><td class="memItemLeft" 
align="right" valign="top">float8[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#aa415256a9064aecc600dfb5e377fb7b1">array_max_index</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:aa415256a9064aecc600dfb5e377fb7b1"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the 
maximum value and corresponding index in the array. NULLs are ignored. Return 
type is the same as the input type.  <a 
href="#aa415256a9064aecc600dfb5e377fb7b1">More...</a><br /></td></tr>
+<tr class="separator:aa415256a9064aecc600dfb5e377fb7b1"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6659bf9d9363eb179fab34f81f8ac59b"><td class="memItemLeft" 
align="right" valign="top">anyelement&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a6659bf9d9363eb179fab34f81f8ac59b">array_min</a> 
(anyarray x)</td></tr>
+<tr class="memdesc:a6659bf9d9363eb179fab34f81f8ac59b"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the 
minimum value in the array. NULLs are ignored. Return type is the same as the 
input type.  <a href="#a6659bf9d9363eb179fab34f81f8ac59b">More...</a><br 
/></td></tr>
+<tr class="separator:a6659bf9d9363eb179fab34f81f8ac59b"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a813a4d9ffc1c18b1b3e18f6ecdb2051f"><td class="memItemLeft" 
align="right" valign="top">float8[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a813a4d9ffc1c18b1b3e18f6ecdb2051f">array_min_index</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a813a4d9ffc1c18b1b3e18f6ecdb2051f"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the 
minimum value and corresponding index in the array. NULLs are ignored. Return 
type is the same as the input type.  <a 
href="#a813a4d9ffc1c18b1b3e18f6ecdb2051f">More...</a><br /></td></tr>
+<tr class="separator:a813a4d9ffc1c18b1b3e18f6ecdb2051f"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4c98f20e6a737358806f63318daea5ec"><td class="memItemLeft" 
align="right" valign="top">anyelement&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a4c98f20e6a737358806f63318daea5ec">array_sum</a> 
(anyarray x)</td></tr>
+<tr class="memdesc:a4c98f20e6a737358806f63318daea5ec"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the sum 
of the values in the array. NULLs are ignored. Return type is the same as the 
input type.  <a href="#a4c98f20e6a737358806f63318daea5ec">More...</a><br 
/></td></tr>
+<tr class="separator:a4c98f20e6a737358806f63318daea5ec"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a418de59800833aa95f9b7cbd6b12901c"><td class="memItemLeft" 
align="right" valign="top">float8&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a418de59800833aa95f9b7cbd6b12901c">array_sum_big</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a418de59800833aa95f9b7cbd6b12901c"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the sum 
of the values in the array. NULLs are ignored. Return type is always FLOAT8 
regardless of input. This function is meant to replace <a class="el" 
href="array__ops_8sql__in.html#a4c98f20e6a737358806f63318daea5ec" title="This 
function finds the sum of the values in the array. NULLs are ignored. Return 
type is the same as...">array_sum()</a> in the cases when sum may overflow the 
element type.  <a href="#a418de59800833aa95f9b7cbd6b12901c">More...</a><br 
/></td></tr>
+<tr class="separator:a418de59800833aa95f9b7cbd6b12901c"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13c0b0c53e8b0dc4e08c21bb8152ee7d"><td class="memItemLeft" 
align="right" valign="top">anyelement&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a13c0b0c53e8b0dc4e08c21bb8152ee7d">array_abs_sum</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a13c0b0c53e8b0dc4e08c21bb8152ee7d"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the sum 
of abs of the values in the array. NULLs are ignored. Return type is the same 
as the input type.  <a href="#a13c0b0c53e8b0dc4e08c21bb8152ee7d">More...</a><br 
/></td></tr>
+<tr class="separator:a13c0b0c53e8b0dc4e08c21bb8152ee7d"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac14e74c10b58f5518cd0e3e56067e5ba"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#ac14e74c10b58f5518cd0e3e56067e5ba">array_abs</a> 
(anyarray x)</td></tr>
+<tr class="memdesc:ac14e74c10b58f5518cd0e3e56067e5ba"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and finds absolute value of each element in the array, 
returning the resulting array. It requires that all the values are NON-NULL.  
<a href="#ac14e74c10b58f5518cd0e3e56067e5ba">More...</a><br /></td></tr>
+<tr class="separator:ac14e74c10b58f5518cd0e3e56067e5ba"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a407598f9eb70637798b02fd731bfca2c"><td class="memItemLeft" 
align="right" valign="top">float8&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a407598f9eb70637798b02fd731bfca2c">array_mean</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a407598f9eb70637798b02fd731bfca2c"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the 
mean of the values in the array. NULLs are ignored.  <a 
href="#a407598f9eb70637798b02fd731bfca2c">More...</a><br /></td></tr>
+<tr class="separator:a407598f9eb70637798b02fd731bfca2c"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3b6c2d173a611e6d6b184d825c2b336d"><td class="memItemLeft" 
align="right" valign="top">float8&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a3b6c2d173a611e6d6b184d825c2b336d">array_stddev</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a3b6c2d173a611e6d6b184d825c2b336d"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the 
standard deviation of the values in the array. NULLs are ignored.  <a 
href="#a3b6c2d173a611e6d6b184d825c2b336d">More...</a><br /></td></tr>
+<tr class="separator:a3b6c2d173a611e6d6b184d825c2b336d"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab066e65a41db78b00b4532996b2a6efc"><td class="memItemLeft" 
align="right" valign="top">float8[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#ab066e65a41db78b00b4532996b2a6efc">array_of_float</a>
 (integer k)</td></tr>
+<tr class="memdesc:ab066e65a41db78b00b4532996b2a6efc"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function creates an 
array of set size (the argument value) of FLOAT8, initializing the values to 
0.0;.  <a href="#ab066e65a41db78b00b4532996b2a6efc">More...</a><br /></td></tr>
+<tr class="separator:ab066e65a41db78b00b4532996b2a6efc"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab7d8550e66d2e0bd54b8f0997d93880c"><td class="memItemLeft" 
align="right" valign="top">bigint[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#ab7d8550e66d2e0bd54b8f0997d93880c">array_of_bigint</a>
 (integer k)</td></tr>
+<tr class="memdesc:ab7d8550e66d2e0bd54b8f0997d93880c"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function creates an 
array of set size (the argument value) of BIGINT, initializing the values to 
0;.  <a href="#ab7d8550e66d2e0bd54b8f0997d93880c">More...</a><br /></td></tr>
+<tr class="separator:ab7d8550e66d2e0bd54b8f0997d93880c"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a065a5323f3b742be47e39ad8b4c90fc2"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a065a5323f3b742be47e39ad8b4c90fc2">array_fill</a>
 (anyarray x, anyelement k)</td></tr>
+<tr class="memdesc:a065a5323f3b742be47e39ad8b4c90fc2"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This functions set every 
values in the array to some desired value (provided as the argument).  <a 
href="#a065a5323f3b742be47e39ad8b4c90fc2">More...</a><br /></td></tr>
+<tr class="separator:a065a5323f3b742be47e39ad8b4c90fc2"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8855869bb9f124c3ff5b10041988610c"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a8855869bb9f124c3ff5b10041988610c">array_cos</a> 
(anyarray x)</td></tr>
+<tr class="memdesc:a8855869bb9f124c3ff5b10041988610c"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and apply cos function element-wise, returning the resulting 
array. It requires that all the values are NON-NULL. Return type is the same as 
the input type.  <a href="#a8855869bb9f124c3ff5b10041988610c">More...</a><br 
/></td></tr>
+<tr class="separator:a8855869bb9f124c3ff5b10041988610c"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae6881cc5c86941b6ffca35d7f3cd5c12"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#ae6881cc5c86941b6ffca35d7f3cd5c12">array_scalar_mult</a>
 (anyarray x, anyelement k)</td></tr>
+<tr class="memdesc:ae6881cc5c86941b6ffca35d7f3cd5c12"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and executes element-wise multiplication by the scalar 
provided as the second argument, returning the resulting array. It requires 
that all the values are NON-NULL. Return type is the same as the input type.  
<a href="#ae6881cc5c86941b6ffca35d7f3cd5c12">More...</a><br /></td></tr>
+<tr class="separator:ae6881cc5c86941b6ffca35d7f3cd5c12"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0b6ffe59b12c3dee076c3059f9ab363f"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a0b6ffe59b12c3dee076c3059f9ab363f">array_scalar_add</a>
 (anyarray x, anyelement k)</td></tr>
+<tr class="memdesc:a0b6ffe59b12c3dee076c3059f9ab363f"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and executes element-wise addition by the scalar provided as 
the second argument, returning the resulting array. It requires that all the 
values are NON-NULL. Return type is the same as the input type.  <a 
href="#a0b6ffe59b12c3dee076c3059f9ab363f">More...</a><br /></td></tr>
+<tr class="separator:a0b6ffe59b12c3dee076c3059f9ab363f"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acc295a568878940ffc3e2c9a75990efb"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#acc295a568878940ffc3e2c9a75990efb">array_filter</a>
 (anyarray x, anyelement k, text op)</td></tr>
+<tr class="memdesc:acc295a568878940ffc3e2c9a75990efb"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and keep only elements that satisfy the operator on 
specified scalar. It requires that all the values are NON-NULL. Return type is 
the same as the input type.  <a 
href="#acc295a568878940ffc3e2c9a75990efb">More...</a><br /></td></tr>
+<tr class="separator:acc295a568878940ffc3e2c9a75990efb"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0c3c44e81ff158ce8914258aa5604872"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a0c3c44e81ff158ce8914258aa5604872">array_filter</a>
 (anyarray x, anyelement k)</td></tr>
+<tr class="memdesc:a0c3c44e81ff158ce8914258aa5604872"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and removes elements that equal to specified scalar. It 
requires that all the values are NON-NULL. Return type is the same as the input 
type.  <a href="#a0c3c44e81ff158ce8914258aa5604872">More...</a><br /></td></tr>
+<tr class="separator:a0c3c44e81ff158ce8914258aa5604872"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac4490f150ecb7aaab0933c223ccde5bd"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#ac4490f150ecb7aaab0933c223ccde5bd">array_filter</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:ac4490f150ecb7aaab0933c223ccde5bd"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and removes elements that equal to 0. It requires that all 
the values are NON-NULL. Return type is the same as the input type.  <a 
href="#ac4490f150ecb7aaab0933c223ccde5bd">More...</a><br /></td></tr>
+<tr class="separator:ac4490f150ecb7aaab0933c223ccde5bd"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a83451ed0c3ca5a9c62751dba47e45df7"><td class="memItemLeft" 
align="right" valign="top">float8[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a83451ed0c3ca5a9c62751dba47e45df7">array_sqrt</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a83451ed0c3ca5a9c62751dba47e45df7"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and finds square root of each element in the array, 
returning the resulting array. It requires that all the values are NON-NULL.  
<a href="#a83451ed0c3ca5a9c62751dba47e45df7">More...</a><br /></td></tr>
+<tr class="separator:a83451ed0c3ca5a9c62751dba47e45df7"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a761e7ca753a5e1acf26896b37ed8b0bd"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a761e7ca753a5e1acf26896b37ed8b0bd">array_pow</a> 
(anyarray x, anyelement y)</td></tr>
+<tr class="memdesc:a761e7ca753a5e1acf26896b37ed8b0bd"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array and a float8 as the input and finds power of each element in the array, 
returning the resulting array. It requires that all the values are NON-NULL.  
<a href="#a761e7ca753a5e1acf26896b37ed8b0bd">More...</a><br /></td></tr>
+<tr class="separator:a761e7ca753a5e1acf26896b37ed8b0bd"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aff60f4091bed6374683f047c8a70ef9a"><td class="memItemLeft" 
align="right" valign="top">float8[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#aff60f4091bed6374683f047c8a70ef9a">array_square</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:aff60f4091bed6374683f047c8a70ef9a"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and finds square of each element in the array, returning the 
resulting array. It requires that all the values are NON-NULL.  <a 
href="#aff60f4091bed6374683f047c8a70ef9a">More...</a><br /></td></tr>
+<tr class="separator:aff60f4091bed6374683f047c8a70ef9a"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acb57ea4521dcb717f9e3148e0acccc74"><td class="memItemLeft" 
align="right" valign="top">float8[]&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#acb57ea4521dcb717f9e3148e0acccc74">normalize</a> 
(anyarray x)</td></tr>
+<tr class="memdesc:acb57ea4521dcb717f9e3148e0acccc74"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function normalizes an 
array as sum of squares to be 1.  <a 
href="#acb57ea4521dcb717f9e3148e0acccc74">More...</a><br /></td></tr>
+<tr class="separator:acb57ea4521dcb717f9e3148e0acccc74"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a86e48d6f0ed7572cfc10576a07f84d25"><td class="memItemLeft" 
align="right" valign="top">boolean&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a86e48d6f0ed7572cfc10576a07f84d25">array_contains_null</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a86e48d6f0ed7572cfc10576a07f84d25"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">Function to check if array 
contains NULL.  <a href="#a86e48d6f0ed7572cfc10576a07f84d25">More...</a><br 
/></td></tr>
+<tr class="separator:a86e48d6f0ed7572cfc10576a07f84d25"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a819f395ada41a446dd4941f172d0bfef"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a819f395ada41a446dd4941f172d0bfef">array_cum_sum</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a819f395ada41a446dd4941f172d0bfef"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and computes the cumulative sum with the first element being 
the same. It requires that all the values are NON-NULL.  <a 
href="#a819f395ada41a446dd4941f172d0bfef">More...</a><br /></td></tr>
+<tr class="separator:a819f395ada41a446dd4941f172d0bfef"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a69642cec81403897436d3c286bf2b36b"><td class="memItemLeft" 
align="right" valign="top">anyarray&#160;</td><td class="memItemRight" 
valign="bottom"><a class="el" 
href="array__ops_8sql__in.html#a69642cec81403897436d3c286bf2b36b">array_cum_prod</a>
 (anyarray x)</td></tr>
+<tr class="memdesc:a69642cec81403897436d3c286bf2b36b"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">This function takes an 
array as the input and computes the cumulative product with the first element 
being the same. It requires that all the values are NON-NULL.  <a 
href="#a69642cec81403897436d3c286bf2b36b">More...</a><br /></td></tr>
+<tr class="separator:a69642cec81403897436d3c286bf2b36b"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed 
Description</h2>
+<div class="textblock"><dl class="section date"><dt>Date</dt><dd>April 2011 
</dd></dl>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ac14e74c10b58f5518cd0e3e56067e5ba"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_abs </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Absolute value of all elements 
of x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a13c0b0c53e8b0dc4e08c21bb8152ee7d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyelement array_abs_sum </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of absolute value of x 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a91c8d3715142927b3967f05a4fbf1575"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_add </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of x and y. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aedf6cb13eb4803bcc12dc4d95ea8ff4e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool array_contains </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns true if x contains y. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a86e48d6f0ed7572cfc10576a07f84d25"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">boolean array_contains_null </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if x has NULL value else 
False. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a8855869bb9f124c3ff5b10041988610c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_cos </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array with each element of 
cos(x). </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a69642cec81403897436d3c286bf2b36b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_cum_prod </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cumulative product of the 
elements in x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a819f395ada41a446dd4941f172d0bfef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_cum_sum </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cumulative sum of the elements 
in x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a6cc05e7052495f8b64692faf40219576"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_div </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Element-wise division of x and 
y. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="acde10964ed23b7c8da515fb84cb8d5e0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 array_dot </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot-product of x and y. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a065a5323f3b742be47e39ad8b4c90fc2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_fill </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyelement&#160;</td>
+          <td class="paramname"><em>k</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Some array </td></tr>
+    <tr><td class="paramname">k</td><td>Desired value </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Fills array with desired value. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="acc295a568878940ffc3e2c9a75990efb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_filter </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyelement&#160;</td>
+          <td class="paramname"><em>k</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>op</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">k</td><td>Scalar </td></tr>
+    <tr><td class="paramname">op</td><td>Operator </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Filtered array. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a0c3c44e81ff158ce8914258aa5604872"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_filter </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyelement&#160;</td>
+          <td class="paramname"><em>k</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">k</td><td>Scalar </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Filtered array. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac4490f150ecb7aaab0933c223ccde5bd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_filter </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Filtered array. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ae891429cc50705c530f3e5ca15541849"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyelement array_max </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Max of x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa415256a9064aecc600dfb5e377fb7b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 [] array_max_index </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array as [max, index]. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a407598f9eb70637798b02fd731bfca2c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 array_mean </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Mean of x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a6659bf9d9363eb179fab34f81f8ac59b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyelement array_min </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Min of x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a813a4d9ffc1c18b1b3e18f6ecdb2051f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 [] array_min_index </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array as [min, index]. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a652d70c480d484c4a1a92ded384b0dd7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_mult </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Element-wise product of x and 
y. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab7d8550e66d2e0bd54b8f0997d93880c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">bigint [] array_of_bigint </td>
+          <td>(</td>
+          <td class="paramtype">integer&#160;</td>
+          <td class="paramname"><em>k</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">k</td><td>Array size. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array of size k. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab066e65a41db78b00b4532996b2a6efc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 [] array_of_float </td>
+          <td>(</td>
+          <td class="paramtype">integer&#160;</td>
+          <td class="paramname"><em>k</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">k</td><td>Array size </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array of size k. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a761e7ca753a5e1acf26896b37ed8b0bd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_pow </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyelement&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Desired power </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Power of y for all elements of 
x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a0b6ffe59b12c3dee076c3059f9ab363f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_scalar_add </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyelement&#160;</td>
+          <td class="paramname"><em>k</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">k</td><td>Scalar </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array with each element of x 
added by scalar. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ae6881cc5c86941b6ffca35d7f3cd5c12"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_scalar_mult </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyelement&#160;</td>
+          <td class="paramname"><em>k</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">k</td><td>Scalar </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array with each element of x 
multiplied by scalar. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a83451ed0c3ca5a9c62751dba47e45df7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 [] array_sqrt </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Square root of all elements of 
x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aff60f4091bed6374683f047c8a70ef9a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 [] array_square </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Square of all elements of x. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a3b6c2d173a611e6d6b184d825c2b336d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 array_stddev </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Standard deviation of x. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a2875a161a01c7dcdea9a4997b074eefc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyarray array_sub </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x-y. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a4c98f20e6a737358806f63318daea5ec"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anyelement array_sum </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a418de59800833aa95f9b7cbd6b12901c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 array_sum_big </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of x. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="acb57ea4521dcb717f9e3148e0acccc74"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float8 [] normalize </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Array normalized by its 2-norm. 
</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a26e8508a2bae10a6574cec697a270eea"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">aggregate anyarray sum </td>
+          <td>(</td>
+          <td class="paramtype">anyarray&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array x </td></tr>
+    <tr><td class="paramname">y</td><td>Array y </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of x and y. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" 
href="dir_704eb8350b43e1ca74c0f90ed1ba450e.html">methods</a></li><li 
class="navelem"><a class="el" 
href="dir_834e55cf992733df24fbe86b49356157.html">array_ops</a></li><li 
class="navelem"><a class="el" 
href="dir_c8a9890f716ab6621b63d44c36a168eb.html">src</a></li><li 
class="navelem"><a class="el" 
href="dir_fe647384fff178c2cff5ce75fb4044e5.html">pg_gp</a></li><li 
class="navelem"><a class="el" 
href="array__ops_8sql__in.html">array_ops.sql_in</a></li>
+    <li class="footer">Generated on Tue Sep 20 2016 11:27:00 for MADlib by
+    <a href="http://www.doxygen.org/index.html";>
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.10 </li>
+  </ul>
+</div>
+</body>
+</html>

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+   <span id="projectnumber">1.9.1</span>
+   </div>
+   <div id="projectbrief">User Documentation for MADlib</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">assoc_rules.sql_in File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>The <a class="el" 
href="assoc__rules_8sql__in.html#a68a256d98b82ac15bac7df92e806f6f8">assoc_rules</a>
 function computes association rules for a given set of data. The data is 
assumed to have two dimensions; items (between which we are trying to discover 
associations), and a transaction id. This tranaction id groups the items by 
event and could also be a user id, date, etc. depending on the context of the 
data. This function assumes the data is stored in two columns with one 
transaction id and one item per row.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a 
name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9a872579615586ce478d32ba145cc279"><td class="memItemLeft" 
align="right" valign="top">set&lt; text[]&gt;&#160;</td><td 
class="memItemRight" valign="bottom"><a class="el" 
href="assoc__rules_8sql__in.html#a9a872579615586ce478d32ba145cc279">gen_rules_from_cfp</a>
 (text, int)</td></tr>
+<tr class="separator:a9a872579615586ce478d32ba145cc279"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af9456adb6dad01e452415b9a0a5371dc"><td class="memItemLeft" 
align="right" valign="top">assoc_rules_results&#160;</td><td 
class="memItemRight" valign="bottom"><a class="el" 
href="assoc__rules_8sql__in.html#af9456adb6dad01e452415b9a0a5371dc">assoc_rules</a>
 (float8 support, float8 confidence, text tid_col, text item_col, text 
input_table, text output_schema, boolean verbose)</td></tr>
+<tr class="separator:af9456adb6dad01e452415b9a0a5371dc"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a68a256d98b82ac15bac7df92e806f6f8"><td class="memItemLeft" 
align="right" valign="top">assoc_rules_results&#160;</td><td 
class="memItemRight" valign="bottom"><a class="el" 
href="assoc__rules_8sql__in.html#a68a256d98b82ac15bac7df92e806f6f8">assoc_rules</a>
 (float8 support, float8 confidence, text tid_col, text item_col, text 
input_table, text output_schema)</td></tr>
+<tr class="memdesc:a68a256d98b82ac15bac7df92e806f6f8"><td 
class="mdescLeft">&#160;</td><td class="mdescRight">The short form of the above 
function with vobose removed.  <a 
href="#a68a256d98b82ac15bac7df92e806f6f8">More...</a><br /></td></tr>
+<tr class="separator:a68a256d98b82ac15bac7df92e806f6f8"><td 
class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed 
Description</h2>
+<div class="textblock"><dl class="section date"><dt>Date</dt><dd>June 2011 
</dd>
+<dd>
+August 2012</dd></dl>
+<dl class="section see"><dt>See also</dt><dd>For a brief introduction to the 
association rules implementation, see the module description <a class="el" 
href="group__grp__assoc__rules.html">Apriori Algorithm</a>. </dd></dl>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="af9456adb6dad01e452415b9a0a5371dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">assoc_rules_results assoc_rules </td>
+          <td>(</td>
+          <td class="paramtype">float8&#160;</td>
+          <td class="paramname"><em>support</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float8&#160;</td>
+          <td class="paramname"><em>confidence</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>tid_col</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>item_col</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>input_table</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>output_schema</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">boolean&#160;</td>
+          <td class="paramname"><em>verbose</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">support</td><td>minimum level of support needed 
for each itemset to be included in result </td></tr>
+    <tr><td class="paramname">confidence</td><td>minimum level of confidence 
needed for each rule to be included in result </td></tr>
+    <tr><td class="paramname">tid_col</td><td>name of the column storing the 
transaction ids </td></tr>
+    <tr><td class="paramname">item_col</td><td>name of the column storing the 
products </td></tr>
+    <tr><td class="paramname">input_table</td><td>name of the table where the 
data is stored </td></tr>
+    <tr><td class="paramname">output_schema</td><td>name of the schema where 
the final results will be stored </td></tr>
+    <tr><td class="paramname">verbose</td><td>determining if output contains 
comments</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The schema and table name 
containing association rules, and total number of rules found.</dd></dl>
+<p>This function computes the association rules between products in a data 
set. It reads the name of the table, the column names of the product and ids, 
and computes ssociation rules using the Apriori algorithm, and subject to the 
support and confidence constraints as input by the user. This version of 
association rules has verbose functionality. When verbose is true, output of 
function includes iteration steps and comments on Apriori algorithm steps. </p>
+
+</div>
+</div>
+<a class="anchor" id="a68a256d98b82ac15bac7df92e806f6f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">assoc_rules_results assoc_rules </td>
+          <td>(</td>
+          <td class="paramtype">float8&#160;</td>
+          <td class="paramname"><em>support</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float8&#160;</td>
+          <td class="paramname"><em>confidence</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>tid_col</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>item_col</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>input_table</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname"><em>output_schema</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a9a872579615586ce478d32ba145cc279"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">set&lt;text[]&gt; gen_rules_from_cfp </td>
+          <td>(</td>
+          <td class="paramtype">text&#160;</td>
+          <td class="paramname">, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname">&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.10 </li>
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