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<a href="#pub-methods">Public Member Functions</a> </div>
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<div class="title">RationalSolver< Ring, Field, RandomPrime, MethodTraits > Class Template Reference<div class="ingroups"><a class="el" href="group__padic.html">p-adic lifting for linear system solutions.</a></div></div> </div>
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<!-- doxytag: class="LinBox::RationalSolver" -->
<p>Interface for the different specialization of p-adic lifting based solvers.
<a href="class_lin_box_1_1_rational_solver.html#details">More...</a></p>
<p><code>#include <rational-solver.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="memTemplParams" colspan="2">template<class IMatrix , class Vector1 , class Vector2 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__padic.html#gabf95d1fb4fcd12ca89717f0be14212a1">SolverReturnStatus</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_solver.html#a89640f4898c268599ab5a20041c08665">solve</a> (Vector1 &num, Integer &den, const IMatrix &A, const Vector2 &b, const bool side, int maxPrimes=DEFAULT_MAXPRIMES) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve a linear system <code>Ax=b</code> over quotient field of a ring giving a random solution if the system is singular and consistent, giving the unique solution if the system is non-singular. <a href="#a89640f4898c268599ab5a20041c08665"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class IMatrix , class Vector1 , class Vector2 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__padic.html#gabf95d1fb4fcd12ca89717f0be14212a1">SolverReturnStatus</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_solver.html#afd380fe51259c50e3e7314f8d5da6aeb">solveNonsingular</a> (Vector1 &num, Integer &den, const IMatrix &A, const Vector2 &b, int maxPrimes=DEFAULT_MAXPRIMES) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve a nonsingular linear system <code>Ax=b</code> over quotient field of a ring, giving the unique solution of the system. <a href="#afd380fe51259c50e3e7314f8d5da6aeb"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template<class IMatrix , class Vector1 , class Vector2 > </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="group__padic.html#gabf95d1fb4fcd12ca89717f0be14212a1">SolverReturnStatus</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="class_lin_box_1_1_rational_solver.html#af93d887b2581b66c1085688fc965aa99">solveSingular</a> (Vector1 &num, Integer &den, const IMatrix &A, const Vector2 &b, int maxPrimes=DEFAULT_MAXPRIMES) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">brief Solve a singular linear system <code>Ax=b</code> over quotient field of a ring, giving a random solution if the system is singular and consistent. <a href="#af93d887b2581b66c1085688fc965aa99"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template<class Ring, class Field, class RandomPrime, class MethodTraits = DixonTraits><br/>
class LinBox::RationalSolver< Ring, Field, RandomPrime, MethodTraits ></h3>
<p>Interface for the different specialization of p-adic lifting based solvers. </p>
<p>The following type are abstract in the implementation and can be change during the instanciation of the class:</p>
<ul>
<li>Ring: ring over which entries are defined</li>
<li>Field: finite field for p-adic lifting</li>
<li>RandomPrime: generator of random primes</li>
<li>MethodTraits: type of subalgorithm to use in p-adic lifting (default is DixonTraits)</li>
</ul>
</div><hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a89640f4898c268599ab5a20041c08665"></a><!-- doxytag: member="LinBox::RationalSolver::solve" ref="a89640f4898c268599ab5a20041c08665" args="(Vector1 &num, Integer &den, const IMatrix &A, const Vector2 &b, const bool side, int maxPrimes=DEFAULT_MAXPRIMES) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="el" href="group__padic.html#gabf95d1fb4fcd12ca89717f0be14212a1">SolverReturnStatus</a> solve </td>
<td>(</td>
<td class="paramtype">Vector1 & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</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 Vector2 & </td>
<td class="paramname"><em>b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const bool </td>
<td class="paramname"><em>side</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>maxPrimes</em> = <code>DEFAULT_MAXPRIMES</code> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Solve a linear system <code>Ax=b</code> over quotient field of a ring giving a random solution if the system is singular and consistent, giving the unique solution if the system is non-singular. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>Vector of numerators of the solution </td></tr>
<tr><td class="paramname">den</td><td>The common denominator. 1/den * num is the rational solution of <code>Ax=b</code>. </td></tr>
<tr><td class="paramname">A</td><td>Matrix of linear system </td></tr>
<tr><td class="paramname">b</td><td>Right-hand side of system </td></tr>
<tr><td class="paramname">maxPrimes</td><td>maximum number of moduli to try </td></tr>
<tr><td class="paramname">side</td><td></td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>status of solution </dd></dl>
</div>
</div>
<a class="anchor" id="afd380fe51259c50e3e7314f8d5da6aeb"></a><!-- doxytag: member="LinBox::RationalSolver::solveNonsingular" ref="afd380fe51259c50e3e7314f8d5da6aeb" args="(Vector1 &num, Integer &den, const IMatrix &A, const Vector2 &b, int maxPrimes=DEFAULT_MAXPRIMES) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="group__padic.html#gabf95d1fb4fcd12ca89717f0be14212a1">SolverReturnStatus</a> solveNonsingular </td>
<td>(</td>
<td class="paramtype">Vector1 & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</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 Vector2 & </td>
<td class="paramname"><em>b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>maxPrimes</em> = <code>DEFAULT_MAXPRIMES</code> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Solve a nonsingular linear system <code>Ax=b</code> over quotient field of a ring, giving the unique solution of the system. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>Vector of numerators of the solution </td></tr>
<tr><td class="paramname">den</td><td>The common denominator. 1/den * num is the rational solution of <code>Ax=b</code>. </td></tr>
<tr><td class="paramname">A</td><td>Matrix of linear system </td></tr>
<tr><td class="paramname">b</td><td>Right-hand side of system </td></tr>
<tr><td class="paramname">maxPrimes</td><td>maximum number of moduli to try</td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>status of solution </dd></dl>
</div>
</div>
<a class="anchor" id="af93d887b2581b66c1085688fc965aa99"></a><!-- doxytag: member="LinBox::RationalSolver::solveSingular" ref="af93d887b2581b66c1085688fc965aa99" args="(Vector1 &num, Integer &den, const IMatrix &A, const Vector2 &b, int maxPrimes=DEFAULT_MAXPRIMES) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="group__padic.html#gabf95d1fb4fcd12ca89717f0be14212a1">SolverReturnStatus</a> solveSingular </td>
<td>(</td>
<td class="paramtype">Vector1 & </td>
<td class="paramname"><em>num</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Integer & </td>
<td class="paramname"><em>den</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 Vector2 & </td>
<td class="paramname"><em>b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>maxPrimes</em> = <code>DEFAULT_MAXPRIMES</code> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>brief Solve a singular linear system <code>Ax=b</code> over quotient field of a ring, giving a random solution if the system is singular and consistent. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>Vector of numerators of the solution </td></tr>
<tr><td class="paramname">den</td><td>The common denominator. 1/den * num is the rational solution of <code>Ax=b</code>. </td></tr>
<tr><td class="paramname">A</td><td>Matrix of linear system </td></tr>
<tr><td class="paramname">b</td><td>Right-hand side of system </td></tr>
<tr><td class="paramname">maxPrimes</td><td>maximum number of moduli to try</td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>status of solution </dd></dl>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="rational-solver_8h.html">rational-solver.h</a></li>
</ul>
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