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<Head>
<Title>Unary Function</Title>
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<H1>Unary Function</H1>
<Table CellPadding=0 CellSpacing=0 width=100%>
<TR>
<TD Align=left><Img src = "functors.gif" Alt="" WIDTH = "194" HEIGHT = "38" ></TD>
<TD Align=right><Img src = "concept.gif" Alt="" WIDTH = "194" HEIGHT = "38" ></TD>
</TR>
<TR>
<TD Align=left VAlign=top><b>Category</b>: functors</TD>
<TD Align=right VAlign=top><b>Component type</b>: concept</TD>
</TR>
</Table>
<h3>Description</h3>
A Unary Function is a kind of <A href="functors.html">function object</A>: an object that is called
as if it were an ordinary C++ function. A Unary Function is called with a
single argument.
<h3>Refinement of</h3>
<A href="Assignable.html">Assignable</A>
<h3>Associated types</h3>
<Table border>
<TR>
<TD VAlign=top>
Argument type
</TD>
<TD VAlign=top>
The type of the Unary Function's argument.
</TD>
</TR>
<TR>
<TD VAlign=top>
Result type
</TD>
<TD VAlign=top>
The type returned when the Unary Function is called
</TD>
</tr>
</table>
<h3>Notation</h3>
<Table>
<TR>
<TD VAlign=top>
<tt>F</tt>
</TD>
<TD VAlign=top>
A type that is a model of Unary Function
</TD>
</TR>
<TR>
<TD VAlign=top>
<tt>X</tt>
</TD>
<TD VAlign=top>
The argument type of <tt>F</tt>
</TD>
</TR>
<TR>
<TD VAlign=top>
<tt>Result</tt>
</TD>
<TD VAlign=top>
The result type of <tt>F</tt>
</TD>
</TR>
<TR>
<TD VAlign=top>
<tt>f</tt>
</TD>
<TD VAlign=top>
Object of type <tt>F</tt>
</TD>
</TR>
<TR>
<TD VAlign=top>
<tt>x</tt>
</TD>
<TD VAlign=top>
Object of type <tt>X</tt>
</TD>
</tr>
</table>
<h3>Definitions</h3>
The <i>domain</i> of a Unary Function is the set of all permissible
values for its argument.
<P>
The <i>range</i> of a Unary Function is the set of all possible values
that it may return.
<h3>Valid expressions</h3>
<Table border>
<TR>
<TH>
Name
</TH>
<TH>
Expression
</TH>
<TH>
Type requirements
</TH>
<TH>
Return type
</TH>
</TR>
<TR>
<TD VAlign=top>
Function call
</TD>
<TD VAlign=top>
<tt>f(x)</tt>
</TD>
<TD VAlign=top>
</TD>
<TD VAlign=top>
<tt>Result</tt>
</TD>
</tr>
</table>
<h3>Expression semantics</h3>
<Table border>
<TR>
<TH>
Name
</TH>
<TH>
Expression
</TH>
<TH>
Precondition
</TH>
<TH>
Semantics
</TH>
<TH>
Postcondition
</TH>
</TR>
<TR>
<TD VAlign=top>
Function call
</TD>
<TD VAlign=top>
<tt>f(x)</tt>
</TD>
<TD VAlign=top>
<tt>x</tt> is in <tt>f</tt>'s domain
</TD>
<TD VAlign=top>
Calls <tt>f</tt> with <tt>x</tt> as an argument, and returns a value of type <tt>Result</tt> <A href="#1">[1]</A>
</TD>
<TD VAlign=top>
The return value is in <tt>f</tt>'s range
</TD>
</tr>
</table>
<h3>Complexity guarantees</h3>
<h3>Invariants</h3>
<h3>Models</h3>
<UL>
<LI>
<tt>Result (*)(X)</tt>
</UL>
<h3>Notes</h3>
<P><A name="1">[1]</A>
Two different invocations of <tt>f</tt> may return different results, even
if <tt>f</tt> is called with the same arguments both times.
A Unary Function may refer to local state, perform I/O,
and so on. The expression <tt>f(x)</tt> is permitted to change <tt>f</tt>'s state.
<h3>See also</h3>
<A href="functors.html">Function Object overview</A>, <A href="Generator.html">Generator</A>, <A href="BinaryFunction.html">Binary Function</A>
<A href="AdaptableUnaryFunction.html">Adaptable Unary Function</A>
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