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<title>linbox: SmithFormBinary< _Ring, _oneInvariantFactor, _Rank > Class Template Reference</title>
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<li class="navelem"><a class="el" href="namespace_lin_box.html">LinBox</a> </li>
<li class="navelem"><a class="el" href="class_lin_box_1_1_smith_form_binary.html">SmithFormBinary</a> </li>
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<a href="#pub-methods">Public Member Functions</a> |
<a href="#pro-methods">Protected Member Functions</a> </div>
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<div class="title">SmithFormBinary< _Ring, _oneInvariantFactor, _Rank > Class Template Reference</div> </div>
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<!-- doxytag: class="LinBox::SmithFormBinary" -->
<p>Compute Smith form.
<a href="class_lin_box_1_1_smith_form_binary.html#details">More...</a></p>
<p><code>#include <smith-form-binary.h></code></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a5e6c0c6fff41abb8af20e2a724c72904"></a><!-- doxytag: member="LinBox::SmithFormBinary::SmithFormBinary" ref="a5e6c0c6fff41abb8af20e2a724c72904" args="(const oneInvariantFactor &_oif=oneInvariantFactor(), const Rank &_rank=Rank(), const Ring &_r=Ring(), int _oifthreshold=DEFAULTOIFTHRESHOLD, int _lifthreshold=DEFAULTLIFTHRESHOLD)" -->
 </td><td class="memItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#a5e6c0c6fff41abb8af20e2a724c72904">SmithFormBinary</a> (const oneInvariantFactor &_oif=oneInvariantFactor(), const Rank &_rank=Rank(), const Ring &_r=Ring(), int _oifthreshold=DEFAULTOIFTHRESHOLD, int _lifthreshold=DEFAULTLIFTHRESHOLD)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">constructor <br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="ace471586a8c62580d1f305ba6f164ce0"></a><!-- doxytag: member="LinBox::SmithFormBinary::smithForm" ref="ace471586a8c62580d1f305ba6f164ce0" args="(Vector &sf, const IMatrix &A, const VectorP &PrimeL) const " -->
template<class IMatrix , class Vector , class VectorP > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Vector & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#ace471586a8c62580d1f305ba6f164ce0">smithForm</a> (Vector &sf, const IMatrix &A, const VectorP &PrimeL) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">compute the Smith Form of an integer matrix, ignoring these factors of primes in PrimeL <br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a19608283632b6b2aca3c6fc252bab9f5"></a><!-- doxytag: member="LinBox::SmithFormBinary::smithFormBinary" ref="a19608283632b6b2aca3c6fc252bab9f5" args="(Vector &sf, const IMatrix &A) const " -->
template<class IMatrix , class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Vector & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#a19608283632b6b2aca3c6fc252bab9f5">smithFormBinary</a> (Vector &sf, const IMatrix &A) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">compute the Smith Form of an integer matrix <br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class IMatrix , class Vector , class VectorP > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Vector & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#aad756ef64b2288d4d5bbc9e7194ac838">smithFormBackward</a> (Vector &sf, const IMatrix &A, const VectorP &PrimeL) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">compute the Smith Form of an integer matrix, ignoring these factors of primes in PrimeL Using backward search descibed by B. <a href="#aad756ef64b2288d4d5bbc9e7194ac838"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a615a686a3643a7d26249f019e1fbc8b4"></a><!-- doxytag: member="LinBox::SmithFormBinary::smithFormBackward" ref="a615a686a3643a7d26249f019e1fbc8b4" args="(Vector &sf, const IMatrix &A) const " -->
template<class IMatrix , class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Vector & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#a615a686a3643a7d26249f019e1fbc8b4">smithFormBackward</a> (Vector &sf, const IMatrix &A) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">compute the Smith Form of an integer matrix Using backward binary search. <br/></td></tr>
<tr><td colspan="2"><h2><a name="pro-methods"></a>
Protected Member Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a0f00de918dcdbdd904e1a073dfded3ff"></a><!-- doxytag: member="LinBox::SmithFormBinary::firstInvariantFactor" ref="a0f00de918dcdbdd904e1a073dfded3ff" args="(Integer &fif, const IMatrix &A, const Vector &PrimeL) const " -->
template<class IMatrix , class Vector > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Integer & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#a0f00de918dcdbdd904e1a073dfded3ff">firstInvariantFactor</a> (Integer &fif, const IMatrix &A, const Vector &PrimeL) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">compute the 1st invariant factor, = GCD (all element in A), missing these factors of primes in PrimeL <br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a3fe81e80a3aff2882f0a736ad1e2bcd8"></a><!-- doxytag: member="LinBox::SmithFormBinary::smithFormBinarySearch" ref="a3fe81e80a3aff2882f0a736ad1e2bcd8" args="(Vector &sf, const IMatrix &A, int i, int j, const VectorP &PrimeL) const " -->
template<class IMatrix , class Vector , class VectorP > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Vector & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#a3fe81e80a3aff2882f0a736ad1e2bcd8">smithFormBinarySearch</a> (Vector &sf, const IMatrix &A, int i, int j, const VectorP &PrimeL) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Binary search invariant factors between i and j, missing those factors in PrimeL suppose sf[i - 1], sf [j - 1] are ith and jth invariant factor of A i <= j. <br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a97e27a7f9abbad213268f05e2ab8b832"></a><!-- doxytag: member="LinBox::SmithFormBinary::smithFormBinarySearchBackward" ref="a97e27a7f9abbad213268f05e2ab8b832" args="(Vector &sf, const IMatrix &A, int i, int j, int depth, const VectorP &PrimeL) const " -->
template<class IMatrix , class Vector , class VectorP > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Vector & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_smith_form_binary.html#a97e27a7f9abbad213268f05e2ab8b832">smithFormBinarySearchBackward</a> (Vector &sf, const IMatrix &A, int i, int j, int depth, const VectorP &PrimeL) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Binary search invariant factors between i and j, missing those factors in PrimeL suppose sf[i - 1], sf [j - 1] are ith and jth invariant factor of A i <= j. <br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template<class _Ring, class _oneInvariantFactor, class _Rank><br/>
class LinBox::SmithFormBinary< _Ring, _oneInvariantFactor, _Rank ></h3>
<p>Compute Smith form. </p>
<p>This is an implementation of EGV and EGV+ algorithms See EGV (FOCS '00) and SW (ISSAC '04) papers. </p>
</div><hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="aad756ef64b2288d4d5bbc9e7194ac838"></a><!-- doxytag: member="LinBox::SmithFormBinary::smithFormBackward" ref="aad756ef64b2288d4d5bbc9e7194ac838" args="(Vector &sf, const IMatrix &A, const VectorP &PrimeL) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">Vector& smithFormBackward </td>
<td>(</td>
<td class="paramtype">Vector & </td>
<td class="paramname"><em>sf</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const IMatrix & </td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const VectorP & </td>
<td class="paramname"><em>PrimeL</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const<code> [inline]</code></td>
</tr>
</table>
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<div class="memdoc">
<p>compute the Smith Form of an integer matrix, ignoring these factors of primes in PrimeL Using backward search descibed by B. </p>
<p>D. Saunders. </p>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="smith-form-binary_8h.html">smith-form-binary.h</a></li>
</ul>
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