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<H1> A.5 The Numerics Packages</H1>
<DIV Class="Paranum"><FONT SIZE=-2>1</FONT></DIV>
<DIV Class="Normal"> The library package Numerics is the parent of
several child units that provide facilities for mathematical computation.
One child, the generic package Generic_Elementary_Functions, is defined
in <A HREF="AA-A-5-1.html">A.5.1</A>, together with nongeneric equivalents;
two others, the package Float_Random and the generic package Discrete_Random,
are defined in <A HREF="AA-A-5-2.html">A.5.2</A>. Additional (optional)
children are defined in <A HREF="AA-G.html">Annex G</A>, ``<A HREF="AA-G.html">Numerics</A>''.
</DIV>
<H4 ALIGN=CENTER>Static Semantics</H4>
<DIV Class="Paranum"><FONT SIZE=-2>2/1</FONT></DIV>
<DIV Class="Normal"> <FONT SIZE=-1><I>This paragraph was deleted.</I></FONT><S> </S></DIV>
<DIV Class="Paranum"><FONT SIZE=-2>3</FONT></DIV>
<DIV Class="Examples"><TT><B>package</B> Ada.Numerics <B>is</B><A NAME="I5500"></A><A NAME="I5501"></A><A NAME="I5502"></A><BR>
<B>pragma</B> Pure(Numerics);<BR>
<A NAME="I5503"></A>Argument_Error : <B>exception</B>;<BR>
<A NAME="I5504"></A>Pi : <B>constant</B> :=<BR>
3.14159_26535_89793_23846_26433_83279_50288_41971_69399_37511;<BR>
<A NAME="I5505"></A>e : <B>constant</B> :=<BR>
2.71828_18284_59045_23536_02874_71352_66249_77572_47093_69996;<BR>
<B>end</B> Ada.Numerics;</TT></DIV>
<DIV Class="Paranum"><FONT SIZE=-2>4</FONT></DIV>
<DIV Class="Normal"> The Argument_Error exception is raised by a subprogram
in a child unit of Numerics to signal that one or more of the actual
subprogram parameters are outside the domain of the corresponding mathematical
function.</DIV>
<H4 ALIGN=CENTER>Implementation Permissions</H4>
<DIV Class="Paranum"><FONT SIZE=-2>5</FONT></DIV>
<DIV Class="Normal"> The implementation may specify the values of Pi
and e to a larger number of significant digits. </DIV>
<DIV Class="Paranum"><FONT SIZE=-2>5.a</FONT></DIV>
<DIV Class="Annotations"><FONT SIZE=-1><B>Reason: </B>51 digits seem
more than adequate for all present computers; converted to binary, the
values given above are accurate to more than 160 bits. Nevertheless,
the permission allows implementations to accommodate unforeseen hardware
advances. </FONT></DIV>
<H4 ALIGN=CENTER>Extensions to Ada 83</H4>
<DIV Class="Paranum"><FONT SIZE=-2>5.b</FONT></DIV>
<DIV Class="Annotations"><FONT SIZE=-1><A NAME="I5506"></A>Numerics and
its children were not predefined in Ada 83. </FONT></DIV>
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