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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"><title>The Polynomials Templates Library: Polynomial arithmetics functions</title><link href="doxygen.css" rel="stylesheet" type="text/css"><link href="tabs.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.4.5 --><div class="tabs"> <ul> <li><a href="index.html"><span>Main Page</span></a></li> <li><a href="modules.html"><span>Modules</span></a></li> <li><a href="annotated.html"><span>Classes</span></a></li> <li><a href="files.html"><span>Files</span></a></li> </ul></div><h1>Polynomial arithmetics functions<br><small>[<a class="el" href="a00099.html">The Polynomial Templates</a>]</small></h1><hr><a name="_details"></a><h2>Detailed Description</h2><a class="el" href="a00090.html">Polynomial</a> arithmetics functions. <p><table border="0" cellpadding="0" cellspacing="0"><tr><td></td></tr><tr><td colspan="2"><br><h2>Functions</h2></td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#g93873480bca596f74ff9b07f75c78103">add</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &r, const <a class="el" href="a00090.html">Polynomial</a>< T > &p, const <a class="el" href="a00090.html">Polynomial</a>< T > &q)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#g1fb458a7c3a7a5993ec815e6422236ed">add</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &p, const <a class="el" href="a00090.html">Polynomial</a>< T > &q)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#g5a0e286e83d54485e6f4ef4cb0e04f51">sub</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &r, const <a class="el" href="a00090.html">Polynomial</a>< T > &p, const <a class="el" href="a00090.html">Polynomial</a>< T > &q)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#gc692b059e9ef90e831249a8f94043ee3">sub</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &p, const <a class="el" href="a00090.html">Polynomial</a>< T > &q)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#g58e7f22c0b67bf90c4e433fe198035db">div</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &q, <a class="el" href="a00090.html">Polynomial</a>< T > &r, const <a class="el" href="a00090.html">Polynomial</a>< T > &u, const <a class="el" href="a00090.html">Polynomial</a>< T > &v)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#ge76610399111a4dd1b9b920cda19100c">div</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &u, <a class="el" href="a00090.html">Polynomial</a>< T > &r, const <a class="el" href="a00090.html">Polynomial</a>< T > &v)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#g4db05aa06bba6b0f29a0c2608a479ec1">mul</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &r, const T &s, const <a class="el" href="a00090.html">Polynomial</a>< T > &p)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#gf48dda52aab572b59dde062a043240cf">mul</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &p, const T &s)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00101.html#g8e86f42915089a8d20b048f38adaa283">mul</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &r, const <a class="el" href="a00090.html">Polynomial</a>< T > &p, const <a class="el" href="a00090.html">Polynomial</a>< T > &q)</td></tr></table><hr><h2>Function Documentation</h2><a class="anchor" name="g1fb458a7c3a7a5993ec815e6422236ed"></a><!-- doxytag: member="Polynomial.h::add" ref="g1fb458a7c3a7a5993ec815e6422236ed" args="(Polynomial< T > &p, const Polynomial< T > &q)" --><p><table class="mdTable" cellpadding="2" cellspacing="0"> <tr> <td class="mdRow"> <table cellpadding="0" cellspacing="0" border="0"> <tr> <td class="mdPrefix" colspan="4">template<class T> </td> </tr> <tr> <td class="md" nowrap valign="top">void add </td> <td class="md" valign="top">( </td> <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>p</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>q</em></td> </tr> <tr> <td class="md"></td> <td class="md">) </td> <td class="md" colspan="2"></td> </tr> </table> </td> </tr></table><table cellspacing="5" cellpadding="0" border="0"> <tr> <td> </td> <td><p>in-place polynomial addition.<p>Performs in-place addition of two polynomials <img class="formulaInl" alt="$p\leftarrow p+q$" src="form_5.png"> .<p><dl compact><dt><b>Parameters:</b></dt><dd> <table border="0" cellspacing="2" cellpadding="0"> <tr><td valign="top"><tt>[in,out]</tt> </td><td valign="top"><em>p</em> </td><td>first input polynomial. On exit, contains the sum <img class="formulaInl" alt="$p+q$" src="form_6.png"> . </td></tr> <tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>q</em> </td><td>second input polynomial.</td></tr> </table></dl><dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00101.html#g93873480bca596f74ff9b07f75c78103">add(Polynomial<T>& r, const Polynomial<T>& p, const Polynomial<T>& q)</a><br> <a class="el" href="a00090.html#23b2b39cd96c44c49bb31c1229165119">Polynomial::operator += (const Polynomial<T>& A)</a> </dd></dl><p>Definition at line <a class="el" href="a00107.html#l00625">625</a> of file <a class="el" href="a00107.html">Polynomial.h</a>. </td> </tr></table><a class="anchor" name="g93873480bca596f74ff9b07f75c78103"></a><!-- doxytag: member="Polynomial.h::add" ref="g93873480bca596f74ff9b07f75c78103" args="(Polynomial< T > &r, const Polynomial< T > &p, const Polynomial< T > &q)" --><p><table class="mdTable" cellpadding="2" cellspacing="0"> <tr> <td class="mdRow"> <table cellpadding="0" cellspacing="0" border="0"> <tr> <td class="mdPrefix" colspan="4">template<class T> </td> </tr> <tr> <td class="md" nowrap valign="top">void add </td> <td class="md" valign="top">( </td> <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>r</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>p</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>q</em></td> </tr> <tr> <td class="md"></td> <td class="md">) </td> <td class="md" colspan="2"></td> </tr> </table> </td> </tr></table><table cellspacing="5" cellpadding="0" border="0"> <tr> <td> </td> <td><p>out-of-place polynomial addition.<p>Performs addition of two polynomials <img class="formulaInl" alt="$r=p+q$" src="form_4.png"> , resulting polynomial is stored in user-supplied polynomial <em>r</em>.<p><dl compact><dt><b>Parameters:</b></dt><dd> <table border="0" cellspacing="2" cellpadding="0"> <tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>r</em> </td><td>on exit, contains the polynomial <img class="formulaInl" alt="$r=p+q$" src="form_4.png"> . </td></tr> <tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>p</em> </td><td>first input polynomial. </td></tr> <tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>q</em> </td><td>second input polynomial.</td></tr> </table></dl><dl compact><dt><b>See also:</b></dt><dd>operator+ (const Polynomial<T>& p, const Polynomial<T>& q)<br> <a class="el" href="a00101.html#g1fb458a7c3a7a5993ec815e6422236ed">add(Polynomial<T>& p, const Polynomial<T>& q)</a> </dd></dl><p>Definition at line <a class="el" href="a00107.html#l00590">590</a> of file <a class="el" href="a00107.html">Polynomial.h</a>. </td> </tr></table><a class="anchor" name="ge76610399111a4dd1b9b920cda19100c"></a><!-- doxytag: member="Polynomial.h::div" ref="ge76610399111a4dd1b9b920cda19100c" args="(Polynomial< T > &u, Polynomial< T > &r, const Polynomial< T > &v)" --><p><table class="mdTable" cellpadding="2" cellspacing="0"> <tr> <td class="mdRow"> <table cellpadding="0" cellspacing="0" border="0"> <tr> <td class="mdPrefix" colspan="4">template<class T> </td> </tr> <tr> <td class="md" nowrap valign="top">void div </td> <td class="md" valign="top">( </td> <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>u</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap><a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>r</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>v</em></td> </tr> <tr> <td class="md"></td> <td class="md">) </td> <td class="md" colspan="2"></td> </tr> </table> </td> </tr></table><table cellspacing="5" cellpadding="0" border="0"> <tr> <td> </td> <td><p>in-place polynomial division.<p>Performs polynomial division. On exit: <p class="formulaDsp"><img class="formulaDsp" alt="\[u\leftarrow \frac{u}{v}\]" src="form_14.png"><p> <p class="formulaDsp"><img class="formulaDsp" alt="\[r=u\%v\]" src="form_11.png"><p><p><dl compact><dt><b>Parameters:</b></dt><dd> <table border="0" cellspacing="2" cellpadding="0"> <tr><td valign="top"><tt>[in,out]</tt> </td><td valign="top"><em>u</em> </td><td>numerator, holds quotient <img class="formulaInl" alt="$\frac{u}{v}$" src="form_15.png"> on exit. </td></tr> <tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>r</em> </td><td>remainder <img class="formulaInl" alt="$r=u\%v$" src="form_13.png"> </td></tr> <tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>v</em> </td><td>divisor.</td></tr> </table></dl><dl compact><dt><b>See also:</b></dt><dd><a class="el" href="a00101.html#g58e7f22c0b67bf90c4e433fe198035db">div(Polynomial<T>& q, Polynomial<T>& r, const Polynomial<T>& u, const Polynomial<T>& v)</a> </dd></dl><p>Definition at line <a class="el" href="a00107.html#l00752">752</a> of file <a class="el" href="a00107.html">Polynomial.h</a>. </td> </tr></table><a class="anchor" name="g58e7f22c0b67bf90c4e433fe198035db"></a><!-- doxytag: member="Polynomial.h::div" ref="g58e7f22c0b67bf90c4e433fe198035db" args="(Polynomial< T > &q, Polynomial< T > &r, const Polynomial< T > &u, const Polynomial< T > &v)" --><p><table class="mdTable" cellpadding="2" cellspacing="0"> <tr> <td class="mdRow"> <table cellpadding="0" cellspacing="0" border="0"> <tr> <td class="mdPrefix" colspan="4">template<class T> </td> </tr> <tr> <td class="md" nowrap valign="top">void div </td> <td class="md" valign="top">( </td> <td class="md" nowrap valign="top"><a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>q</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap><a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>r</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>u</em>, </td> </tr> <tr> <td class="md" nowrap align="right"></td> <td class="md"></td> <td class="md" nowrap>const <a class="el" href="a00090.html">Polynomial</a>< T > & </td> <td class="mdname" nowrap> <em>v</em></td> </tr> <tr> <td class="md"></td> <td class="md">) </td> <td class="md" colspan="2"></td> </tr> </table> </td> </tr></table><table cellspacing="5" cellpadding="0" border="0"> <tr> <td> </td> <td><p>out-of-place polynomial division.<p>Performs polynomial division. On exit: <p class="formulaDsp"><img class="formulaDsp" alt="\[q=\frac{u}{v}\]" src="form_10.png"><p> <p class="formulaDsp"><img class="formulaDsp" alt="\[r=u\%v\]" src="form_11.png"><p><p><dl compact><dt><b>Parameters:</b></dt><dd> <table border="0" cellspacing="2" cellpadding="0"> <tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>q</em> </td><td>quotient <img class="formulaInl" alt="$q=\frac{u}{v}$" src="form_12.png"> </td></tr> <tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>r</em> </td><td>remainder <img class="formulaInl" alt="$r=u\%v$" src="form_13.png"> </td></tr> <tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>u</em> </td><td>numerator. </td></tr> <tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>v</em> </td><td>divisor.</td></tr> </table></dl>⌨️ 快捷键说明
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