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<HTML><HEAD><TITLE>&lt;numeric&gt;</TITLE></HEAD><BODY><H1><A NAME="&lt;numeric&gt;"><CODE>&lt;numeric&gt;</CODE></A></H1><HR><P>Include the <A HREF="index.html#STL">STL</A>standard header <B><CODE>&lt;numeric&gt;</CODE></B>to define several template functions useful for computing numeric values.The descriptions of these templates employ a number of<A HREF="lib_stl.html#Algorithm Conventions">conventions</A>common to all algorithms.</P><PRE>namespace std {template&lt;class InIt, class Ty&gt;    Ty <B><A HREF="#accumulate">accumulate</A></B>(InIt first, InIt last, Ty val);template&lt;class InIt, class Ty, class Fn2&gt;    Ty <B><A HREF="#accumulate">accumulate</A></B>(InIt first, InIt last, Ty val, Fn2 func);template&lt;class InIt1, class InIt2, class Ty&gt;    Ty <B><A HREF="#inner_product">inner_product</A></B>(InIt1 first1, InIt1 last1,        Init2 first2, Ty val);template&lt;class InIt1, class InIt2, class Ty,    class Fn21, class Fn22&gt;    Ty <B><A HREF="#inner_product">inner_product</A></B>(InIt1 first1, InIt1 last1,        Init2 first2, Ty val, Fn21 func1, Fn22 func2);template&lt;class InIt, class OutIt&gt;    OutIt <B><A HREF="#partial_sum">partial_sum</A></B>(InIt first, InIt last,        OutIt result);template&lt;class InIt, class OutIt, class Fn2&gt;    OutIt <B><A HREF="#partial_sum">partial_sum</A></B>(InIt first, InIt last,        OutIt result, Fn2 func);template&lt;class InIt, class OutIt&gt;    OutIt <B><A HREF="#adjacent_difference">adjacent_difference</A></B>(InIt first, InIt last,        OutIt result);template&lt;class InIt, class OutIt, class Fn2&gt;    OutIt <B><A HREF="#adjacent_difference">adjacent_difference</A></B>(InIt first, InIt last,        OutIt result, Fn2 func);    };</PRE><H2><A NAME="accumulate"><CODE>accumulate</CODE></A></H2><PRE>template&lt;class InIt, class Ty&gt;    Ty <B>accumulate</B>(InIt first, InIt last, Ty val);template&lt;class InIt, class Ty, class Fn2&gt;    Ty <B>accumulate</B>(InIt first, InIt last, Ty val, Fn2 func);</PRE><P>The first template function repeatedly replaces <CODE>val</CODE>with <CODE>val + *I</CODE>, for each value of the <CODE>InIt</CODE>iterator <CODE>I</CODE> in the interval <CODE>[first, last)</CODE>.It then returns <CODE>val</CODE>.</P><P>The second template function repeatedly replaces <CODE>val</CODE>with <CODE>func(val, *I)</CODE>, for each value of the <CODE>InIt</CODE>iterator <CODE>I</CODE> in the interval <CODE>[first, last)</CODE>.It then returns <CODE>val</CODE>.</P><H2><A NAME="adjacent_difference"><CODE>adjacent_difference</CODE></A></H2><PRE>template&lt;class InIt, class OutIt&gt;    OutIt <B>adjacent_difference</B>(InIt first, InIt last,        OutIt result);template&lt;class InIt, class OutIt, class Fn2&gt;    OutIt <B>adjacent_difference</B>(InIt first, InIt last,        OutIt result, Fn2 func);</PRE><P>The first template function stores successive values beginningat <CODE>result</CODE>, for each value of the <CODE>InIt</CODE>iterator <CODE>I</CODE> in the interval <CODE>[first, last)</CODE>.The first value <CODE>val</CODE> stored (if any)is <CODE>*I</CODE>. Each subsequent valuestored is <CODE>*I - val</CODE>, and <CODE>val</CODE> is replacedby <CODE>*I</CODE>.The function returns <CODE>result</CODE> incremented<CODE>last - first</CODE> times.</P><P>The second template function stores successive values beginningat <CODE>result</CODE>, for each value of the <CODE>InIt</CODE>iterator <CODE>I</CODE> in the interval <CODE>[first, last)</CODE>.The first value <CODE>val</CODE> stored (if any)is <CODE>*I</CODE>. Each subsequent valuestored is <CODE>func(*I, val)</CODE>, and <CODE>val</CODE> is replacedby <CODE>*I</CODE>.The function returns <CODE>result</CODE> incremented<CODE>last - first</CODE> times.</P><H2><A NAME="inner_product"><CODE>inner_product</CODE></A></H2><PRE>template&lt;class InIt1, class InIt2, class Ty&gt;    Ty <B>inner_product</B>(InIt1 first1, InIt1 last1,        Init2 first2, Ty val);template&lt;class InIt1, class InIt2, class Ty,    class Fn21, class Fn22&gt;    Ty <B>inner_product</B>(InIt1 first1, InIt1 last1,        Init2 first2, Ty val, Fn21 func1, Fn22 func2);</PRE><P>The first template function repeatedly replaces <CODE>val</CODE>with <CODE>val + (*I1 * *I2)</CODE>, for each value of the <CODE>InIt1</CODE>iterator <CODE>I1</CODE> in the interval <CODE>[first1, last2)</CODE>.In each case, the <CODE>InIt2</CODE> iterator <CODE>I2</CODE> equals<CODE>first2 + (I1 - first1)</CODE>.The function returns <CODE>val</CODE>.</P><P>The second template function repeatedly replaces <CODE>val</CODE>with <CODE>func1(val, func2(*I1, *I2))</CODE>,for each value of the <CODE>InIt1</CODE>iterator <CODE>I1</CODE> in the interval <CODE>[first1, last2)</CODE>.In each case, the <CODE>InIt2</CODE> iterator <CODE>I2</CODE> equals<CODE>first2 + (I1 - first1)</CODE>.The function returns <CODE>val</CODE>.</P><H2><A NAME="partial_sum"><CODE>partial_sum</CODE></A></H2><PRE>template&lt;class InIt, class OutIt&gt;    OutIt <B>partial_sum</B>(InIt first, InIt last,        OutIt result);template&lt;class InIt, class OutIt, class Fn2&gt;    OutIt <B>partial_sum</B>(InIt first, InIt last,        OutIt result, Fn2 func);</PRE><P>The first template function stores successive values beginningat <CODE>result</CODE>, for each value of the <CODE>InIt</CODE>iterator <CODE>I</CODE> in the interval <CODE>[first, last)</CODE>.The first value <CODE>val</CODE> stored (if any)is <CODE>*I</CODE>. Each subsequent value <CODE>val</CODE>stored is <CODE>val + *I</CODE>.The function returns <CODE>result</CODE> incremented<CODE>last - first</CODE> times.</P><P>The second template function stores successive values beginningat <CODE>result</CODE>, for each value of the <CODE>InIt</CODE>iterator <CODE>I</CODE> in the interval <CODE>[first, last)</CODE>.The first value <CODE>val</CODE> stored (if any)is <CODE>*I</CODE>. Each subsequent value <CODE>val</CODE>stored is <CODE>func(val, *I)</CODE>.The function returns <CODE>result</CODE> incremented<CODE>last - first</CODE> times.</P><HR><P>See also the<B><A HREF="index.html#Table of Contents">Table of Contents</A></B> and the<B><A HREF="_index.html">Index</A></B>.</P><P><I><A HREF="crit_pjp.html">Copyright</A> &#169; 1994-2002by P.J. Plauger. Portions derived from work<A HREF="crit_hp.html">copyright</A> &#169; 1994by Hewlett-Packard Company. All rights reserved.</I></P><!--V4.01:1125--></BODY></HTML>
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