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<?xml version='1.0'?>
<html xmlns='http://www.w3.org/1999/xhtml'
      xmlns:math='http://www.w3.org/1998/Math/MathML'
>
<head>
<title>AD Boolean Functions</title>
<meta http-equiv='Content-Type' content='text/html' charset='utf-8'/>
<meta name="description" id="description" content="AD Boolean Functions"/>
<meta name="keywords" id="keywords" content=" bool Ad function unary binary ad boolean functions syntax purpose unary_name u x b create Cppad_bool_unary binary_name v y Cppad_bool_binary operation sequence example deprecated "/>
<style type='text/css'>
body { color : black }
body { background-color : white }
A:link { color : blue }
A:visited { color : purple }
A:active { color : purple }
</style>
<script type='text/javascript' language='JavaScript' src='_boolfun_xml.js'>
</script>
</head>
<body>
<table><tr>
<td>
<a href="http://www.coin-or.org/CppAD/" target="_top"><img border="0" src="_image.gif"/></a>
</td>
<td><a href="near_equal_ext.cpp.xml" target="_top">Prev</a>
</td><td><a href="bool_fun.cpp.xml" target="_top">Next</a>
</td><td>
<select onchange='choose_across0(this)'>
<option>Index-&gt;</option>
<option>contents</option>
<option>reference</option>
<option>index</option>
<option>search</option>
<option>external</option>
</select>
</td>
<td>
<select onchange='choose_up0(this)'>
<option>Up-&gt;</option>
<option>CppAD</option>
<option>AD</option>
<option>BoolValued</option>
<option>BoolFun</option>
</select>
</td>
<td>
<select onchange='choose_down3(this)'>
<option>CppAD-&gt;</option>
<option>Install</option>
<option>Introduction</option>
<option>AD</option>
<option>ADFun</option>
<option>preprocessor</option>
<option>multi_thread</option>
<option>library</option>
<option>ipopt_solve</option>
<option>Example</option>
<option>speed</option>
<option>Appendix</option>
</select>
</td>
<td>
<select onchange='choose_down2(this)'>
<option>AD-&gt;</option>
<option>ad_ctor</option>
<option>ad_assign</option>
<option>Convert</option>
<option>ADValued</option>
<option>BoolValued</option>
<option>VecAD</option>
<option>base_require</option>
</select>
</td>
<td>
<select onchange='choose_down1(this)'>
<option>BoolValued-&gt;</option>
<option>Compare</option>
<option>NearEqualExt</option>
<option>BoolFun</option>
<option>ParVar</option>
<option>EqualOpSeq</option>
</select>
</td>
<td>
<select onchange='choose_down0(this)'>
<option>BoolFun-&gt;</option>
<option>bool_fun.cpp</option>
</select>
</td>
<td>
<select onchange='choose_current0(this)'>
<option>Headings-&gt;</option>
<option>Syntax</option>
<option>Purpose</option>
<option>unary_name</option>
<option>u</option>
<option>x</option>
<option>b</option>
<option>Create Unary</option>
<option>binary_name</option>
<option>v</option>
<option>y</option>
<option>Create Binary</option>
<option>Operation Sequence</option>
<option>Example</option>
<option>Deprecated</option>
</select>
</td>
</tr></table><br/>








<center><b><big><big>AD Boolean Functions</big></big></b></center>
<br/>
<b><big><a name="Syntax" id="Syntax">Syntax</a></big></b>

<br/>

<code><font color="blue"><span style='white-space: nowrap'>CPPAD_BOOL_UNARY(</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>,&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>

<code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'>&#xA0;=&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>u</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>

<code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'>&#xA0;=&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>

<code><font color="blue"><span style='white-space: nowrap'>CPPAD_BOOL_BINARY(</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>,&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>

<code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'>&#xA0;=&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>u</span></font></i><font color="blue"><span style='white-space: nowrap'>,&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>v</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>

<code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'>&#xA0;=&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'>,&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'>)</span></font></code>



<br/>
<br/>
<b><big><a name="Purpose" id="Purpose">Purpose</a></big></b>
<br/>
Create a <code><font color="blue">bool</font></code> valued function that has 
<code><font color="blue"><span style='white-space: nowrap'>AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;</span></font></code>
 arguments.

<br/>
<br/>
<b><big><a name="unary_name" id="unary_name">unary_name</a></big></b>
<br/>
This is the name of the <code><font color="blue">bool</font></code> valued function with one argument
(as it is used in the source code).
The user must provide a version of 
<code><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i></code>
 where
the argument has type 
<code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code>
.
CppAD uses this to create a version of 
<code><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i></code>
 where the
argument has type 
<code><font color="blue"><span style='white-space: nowrap'>AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;</span></font></code>
.

<br/>
<br/>
<b><big><a name="u" id="u">u</a></big></b>
<br/>
The argument 
<code><i><font color="black"><span style='white-space: nowrap'>u</span></font></i></code>
 has prototype

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;const&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&#xA0;&amp;</span></font><i><font color="black"><span style='white-space: nowrap'>u</span></font></i><font color="blue"><span style='white-space: nowrap'><br/>
</span></font></code>
It is the value at which the user provided version of 
<code><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i></code>

is to be evaluated.
It is also used for the first argument to the 
user provided version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
.

<br/>
<br/>
<b><big><a name="x" id="x">x</a></big></b>
<br/>
The argument 
<code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code>
 has prototype

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;const&#xA0;AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;&#xA0;&amp;</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'><br/>
</span></font></code>
It is the value at which the CppAD provided version of 
<code><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i></code>

is to be evaluated.
It is also used for the first argument to the 
CppAD provided version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
.

<br/>
<br/>
<b><big><a name="b" id="b">b</a></big></b>
<br/>
The result 
<code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code>
 has prototype

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;bool&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'><br/>
</span></font></code>
<br/>
<b><big><a name="Create Unary" id="Create Unary">Create Unary</a></big></b>

<br/>
The preprocessor macro invocation

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;CPPAD_BOOL_UNARY(</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>,&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>
defines the version of 
<code><i><font color="black"><span style='white-space: nowrap'>unary_name</span></font></i></code>
 with a 
<code><font color="blue"><span style='white-space: nowrap'>AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;</span></font></code>

argument.
This can with in a namespace 
(not the <code><font color="blue">CppAD</font></code> namespace)
but must be outside of any routine.

<br/>
<br/>
<b><big><a name="binary_name" id="binary_name">binary_name</a></big></b>
<br/>
This is the name of the <code><font color="blue">bool</font></code> valued function with two arguments
(as it is used in the source code).
The user must provide a version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
 where
the arguments have type 
<code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code>
.
CppAD uses this to create a version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
 where the
arguments have type 
<code><font color="blue"><span style='white-space: nowrap'>AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;</span></font></code>
.

<br/>
<br/>
<b><big><a name="v" id="v">v</a></big></b>
<br/>
The argument 
<code><i><font color="black"><span style='white-space: nowrap'>v</span></font></i></code>
 has prototype

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;const&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&#xA0;&amp;</span></font><i><font color="black"><span style='white-space: nowrap'>v</span></font></i><font color="blue"><span style='white-space: nowrap'><br/>
</span></font></code>
It is the second argument to
the user provided version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
.

<br/>
<br/>
<b><big><a name="y" id="y">y</a></big></b>
<br/>
The argument 
<code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code>
 has prototype

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;const&#xA0;AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;&#xA0;&amp;</span></font><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'><br/>
</span></font></code>
It is the second argument to
the CppAD provided version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
.

<br/>
<br/>
<b><big><a name="Create Binary" id="Create Binary">Create Binary</a></big></b>

<br/>
The preprocessor macro invocation

<code><font color="blue"><span style='white-space: nowrap'><br/>
&#xA0;&#xA0;&#xA0;&#xA0;&#xA0;CPPAD_BOOL_BINARY(</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>,&#xA0;</span></font><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>
</span></font></code>
defines the version of 
<code><i><font color="black"><span style='white-space: nowrap'>binary_name</span></font></i></code>
 with 
<code><font color="blue"><span style='white-space: nowrap'>AD&lt;</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>&gt;</span></font></code>

arguments.
This can with in a namespace 
(not the <code><font color="blue">CppAD</font></code> namespace)
but must be outside of any routine.


<br/>
<br/>
<b><big><a name="Operation Sequence" id="Operation Sequence">Operation Sequence</a></big></b>
<br/>
The result of this operation is not an
<a href="glossary.xml#AD of Base" target="_top"><span style='white-space: nowrap'>AD&#xA0;of&#xA0;Base</span></a>
 object.
Thus it will not be recorded as part of an
AD of 
<code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code>

<a href="glossary.xml#Operation.Sequence" target="_top"><span style='white-space: nowrap'>operation&#xA0;sequence</span></a>
.

<br/>
<br/>
<b><big><a name="Example" id="Example">Example</a></big></b>

<br/>
The file
<a href="bool_fun.cpp.xml" target="_top"><span style='white-space: nowrap'>bool_fun.cpp</span></a>

contains an example and test of these operations.
It returns true if it succeeds and false otherwise.

<br/>
<br/>
<b><big><a name="Deprecated" id="Deprecated">Deprecated</a></big></b>
<br/>
The preprocessor symbols <code><font color="blue">CppADCreateUnaryBool</font></code> 
and <code><font color="blue">CppADCreateBinaryBool</font></code> are defined to be the same as
<code><font color="blue">CPPAD_BOOL_UNARY</font></code> and <code><font color="blue">CPPAD_BOOL_BINARY</font></code> respectively
(but their use is deprecated).


<hr/>Input File: cppad/local/bool_fun.hpp

</body>
</html>