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name="MSearchResults" id="MSearchResults"> +</iframe> +</div> + +<div class="header"> + <div class="summary"> +<a href="#func-members">Functions</a> </div> + <div class="headertitle"> +<div class="title">dense_linear_systems.sql_in File Reference</div> </div> +</div><!--header--> +<div class="contents"> + +<p>SQL functions for linear systems. +<a href="#details">More...</a></p> +<table class="memberdecls"> +<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> +Functions</h2></td></tr> +<tr class="memitem:ad34728809ab3121705342cf91b34c6dd"><td class="memItemLeft" align="right" valign="top">bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#ad34728809ab3121705342cf91b34c6dd">dense_residual_norm_transition</a> (bytea8 state, float8[] a, float8 b, float8[] x)</td></tr> +<tr class="separator:ad34728809ab3121705342cf91b34c6dd"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a73ebde08b8395fd7bddbe1dc37b9539f"><td class="memItemLeft" align="right" valign="top">bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a73ebde08b8395fd7bddbe1dc37b9539f">dense_residual_norm_merge_states</a> (bytea8 state1, bytea8 state2)</td></tr> +<tr class="separator:a73ebde08b8395fd7bddbe1dc37b9539f"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a01935dd8c4aef8c92e77b7f0f905fa4b"><td class="memItemLeft" align="right" valign="top">residual_norm_result </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a01935dd8c4aef8c92e77b7f0f905fa4b">dense_residual_norm_final</a> (bytea8 state)</td></tr> +<tr class="separator:a01935dd8c4aef8c92e77b7f0f905fa4b"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a52f2bcdd0d038f19e64a44d4bb07fefb"><td class="memItemLeft" align="right" valign="top">aggregate residual_norm_result </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a52f2bcdd0d038f19e64a44d4bb07fefb">dense_residual_norm</a> (float8[] left_hand_side, float8 right_hand_side, float8[] solution)</td></tr> +<tr class="memdesc:a52f2bcdd0d038f19e64a44d4bb07fefb"><td class="mdescLeft"> </td><td class="mdescRight">Compute the residual after solving the dense linear systems. <a href="#a52f2bcdd0d038f19e64a44d4bb07fefb">More...</a><br /></td></tr> +<tr class="separator:a52f2bcdd0d038f19e64a44d4bb07fefb"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:acbfc47693d0b50ccfc6b7f7c38209b18"><td class="memItemLeft" align="right" valign="top">float8[] </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#acbfc47693d0b50ccfc6b7f7c38209b18">dense_direct_linear_system_transition</a> (float8[] state, integer row_id, float8[] a, float8 b, integer num_rows, integer algorithm)</td></tr> +<tr class="separator:acbfc47693d0b50ccfc6b7f7c38209b18"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a607403f90e1921435183d031825e5e54"><td class="memItemLeft" align="right" valign="top">float8[] </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a607403f90e1921435183d031825e5e54">dense_direct_linear_system_merge_states</a> (float8[] state1, float8[] state2)</td></tr> +<tr class="separator:a607403f90e1921435183d031825e5e54"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a63a3ed2c811216d3d88c120005a13875"><td class="memItemLeft" align="right" valign="top">dense_linear_solver_result </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a63a3ed2c811216d3d88c120005a13875">dense_direct_linear_system_final</a> (float8[] state)</td></tr> +<tr class="separator:a63a3ed2c811216d3d88c120005a13875"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a379f260d8dfbf5c2be05c60776974188"><td class="memItemLeft" align="right" valign="top">aggregate dense_linear_solver_result </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a379f260d8dfbf5c2be05c60776974188">dense_direct_linear_system</a> (integer row_id, float8[] left_hand_side, float8 right_hand_side, integer numEquations, integer algorithm)</td></tr> +<tr class="memdesc:a379f260d8dfbf5c2be05c60776974188"><td class="mdescLeft"> </td><td class="mdescRight">Solve a system of linear equations using the direct method. <a href="#a379f260d8dfbf5c2be05c60776974188">More...</a><br /></td></tr> +<tr class="separator:a379f260d8dfbf5c2be05c60776974188"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a885d6a36c07dc2c048948cb5287a3b92"><td class="memItemLeft" align="right" valign="top">varchar </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a885d6a36c07dc2c048948cb5287a3b92">linear_solver_dense</a> (varchar input_string)</td></tr> +<tr class="memdesc:a885d6a36c07dc2c048948cb5287a3b92"><td class="mdescLeft"> </td><td class="mdescRight">Help function, to print out the supported families. <a href="#a885d6a36c07dc2c048948cb5287a3b92">More...</a><br /></td></tr> +<tr class="separator:a885d6a36c07dc2c048948cb5287a3b92"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a2272a21f30096a79cd543fe66a0aee19"><td class="memItemLeft" align="right" valign="top">varchar </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a2272a21f30096a79cd543fe66a0aee19">linear_solver_dense</a> ()</td></tr> +<tr class="separator:a2272a21f30096a79cd543fe66a0aee19"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:ab7de234e67060a4fc48978e430642baa"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#ab7de234e67060a4fc48978e430642baa">linear_solver_dense</a> (varchar source_table, varchar out_table, varchar row_id, varchar left_hand_side, varchar right_hand_side, varchar grouping_cols, varchar optimizer, varchar optimizer_options)</td></tr> +<tr class="memdesc:ab7de234e67060a4fc48978e430642baa"><td class="mdescLeft"> </td><td class="mdescRight">A wrapper function for the various marginal linear_systemsion analyzes. <a href="#ab7de234e67060a4fc48978e430642baa">More...</a><br /></td></tr> +<tr class="separator:ab7de234e67060a4fc48978e430642baa"><td class="memSeparator" colspan="2"> </td></tr> +<tr class="memitem:a003b5a21cffde500fa808f1c6e9c14ae"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dense__linear__systems_8sql__in.html#a003b5a21cffde500fa808f1c6e9c14ae">linear_solver_dense</a> (varchar source_table, varchar out_table, varchar row_id, varchar left_hand_side, varchar right_hand_side)</td></tr> +<tr class="memdesc:a003b5a21cffde500fa808f1c6e9c14ae"><td class="mdescLeft"> </td><td class="mdescRight">Marginal effects with default variables. <a href="#a003b5a21cffde500fa808f1c6e9c14ae">More...</a><br /></td></tr> +<tr class="separator:a003b5a21cffde500fa808f1c6e9c14ae"><td class="memSeparator" colspan="2"> </td></tr> +</table> +<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> +<div class="textblock"><dl class="section date"><dt>Date</dt><dd>July 2013</dd></dl> +<dl class="section see"><dt>See also</dt><dd>Computes the solution of a consistent linear system, for more details see the module description at <a class="el" href="group__grp__dense__linear__solver.html">Dense Linear Systems</a> </dd></dl> +</div><h2 class="groupheader">Function Documentation</h2> +<a class="anchor" id="a379f260d8dfbf5c2be05c60776974188"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">aggregate dense_linear_solver_result dense_direct_linear_system </td> + <td>(</td> + <td class="paramtype">integer </td> + <td class="paramname"><em>row_id</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>left_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8 </td> + <td class="paramname"><em>right_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">integer </td> + <td class="paramname"><em>numEquations</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">integer </td> + <td class="paramname"><em>algorithm</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> +<dl class="params"><dt>Parameters</dt><dd> + <table class="params"> + <tr><td class="paramname">row_id</td><td>Column containing the row_id </td></tr> + <tr><td class="paramname">left_hand_side</td><td>Column containing the left hand side of the system </td></tr> + <tr><td class="paramname">right_hand_side</td><td>Column containing the right hand side of the system </td></tr> + <tr><td class="paramname">numEquations</td><td>Number of equations </td></tr> + <tr><td class="paramname">algorithm</td><td>Algorithm used for the dense linear solver</td></tr> + </table> + </dd> +</dl> +<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul> +<li><code>solution FLOAT8[] </code> - Array of marginal effects</li> +<li><code>residual_norm FLOAT8</code> - Norm of the residual</li> +<li><code>iters INTEGER</code> - Iterations taken</li> +</ul> +</dd></dl> +<dl class="section user"><dt>Usage</dt><dd><ul> +<li>Get all the diagnostic statistics:<br /> + <pre> SELECT linear_system_dense(<em>row_id</em>, + <em>left_hand_side</em>, + <em> right_hand_side </em>, + <em> numEquations </em>) + FROM <em>dataTable</em>; +</pre> </li> +</ul> +</dd></dl> + +</div> +</div> +<a class="anchor" id="a63a3ed2c811216d3d88c120005a13875"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">dense_linear_solver_result dense_direct_linear_system_final </td> + <td>(</td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>state</em></td><td>)</td> + <td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="a607403f90e1921435183d031825e5e54"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">float8 [] dense_direct_linear_system_merge_states </td> + <td>(</td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>state1</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>state2</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="acbfc47693d0b50ccfc6b7f7c38209b18"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">float8 [] dense_direct_linear_system_transition </td> + <td>(</td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>state</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">integer </td> + <td class="paramname"><em>row_id</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>a</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8 </td> + <td class="paramname"><em>b</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">integer </td> + <td class="paramname"><em>num_rows</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">integer </td> + <td class="paramname"><em>algorithm</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="a52f2bcdd0d038f19e64a44d4bb07fefb"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">aggregate residual_norm_result dense_residual_norm </td> + <td>(</td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>left_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8 </td> + <td class="paramname"><em>right_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>solution</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> +<dl class="params"><dt>Parameters</dt><dd> + <table class="params"> + <tr><td class="paramname">left_hand_side</td><td>Column containing the left hand side of the system </td></tr> + <tr><td class="paramname">right_hand_side</td><td>Column containing the right hand side of the system </td></tr> + <tr><td class="paramname">solution</td><td>Solution of the linear system</td></tr> + </table> + </dd> +</dl> +<dl class="section return"><dt>Returns</dt><dd>residual_norm FLOAT8:</dd></dl> +<dl class="section user"><dt>Usage</dt><dd><ul> +<li>Get all the diagnostic statistics:<br /> + <pre> SELECT dense_residual_norm(<em>row_id</em>, + <em>left_hand_side</em>, + <em> right_hand_side </em>, + <em> solution </em>) + FROM <em>dataTable</em>; +</pre> </li> +</ul> +</dd></dl> + +</div> +</div> +<a class="anchor" id="a01935dd8c4aef8c92e77b7f0f905fa4b"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">residual_norm_result dense_residual_norm_final </td> + <td>(</td> + <td class="paramtype">bytea8 </td> + <td class="paramname"><em>state</em></td><td>)</td> + <td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="a73ebde08b8395fd7bddbe1dc37b9539f"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">bytea8 dense_residual_norm_merge_states </td> + <td>(</td> + <td class="paramtype">bytea8 </td> + <td class="paramname"><em>state1</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">bytea8 </td> + <td class="paramname"><em>state2</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="ad34728809ab3121705342cf91b34c6dd"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">bytea8 dense_residual_norm_transition </td> + <td>(</td> + <td class="paramtype">bytea8 </td> + <td class="paramname"><em>state</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>a</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8 </td> + <td class="paramname"><em>b</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">float8[] </td> + <td class="paramname"><em>x</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="a885d6a36c07dc2c048948cb5287a3b92"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">varchar linear_solver_dense </td> + <td>(</td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>input_string</em></td><td>)</td> + <td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="a2272a21f30096a79cd543fe66a0aee19"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">varchar linear_solver_dense </td> + <td>(</td> + <td class="paramname"></td><td>)</td> + <td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +<a class="anchor" id="ab7de234e67060a4fc48978e430642baa"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">void linear_solver_dense </td> + <td>(</td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>source_table</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>out_table</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>row_id</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>left_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>right_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>grouping_cols</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>optimizer</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>optimizer_options</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> +<dl class="params"><dt>Parameters</dt><dd> + <table class="params"> + <tr><td class="paramname">source_table</td><td>String identifying the input table </td></tr> + <tr><td class="paramname">out_table</td><td>String identifying the output table to be created </td></tr> + <tr><td class="paramname">row_id</td><td>Column containing the row_id </td></tr> + <tr><td class="paramname">left_hand_side</td><td>Column containing the left hand side of the system </td></tr> + <tr><td class="paramname">right_hand_side</td><td>Column containing the right hand side of the system </td></tr> + <tr><td class="paramname">grouping_cols</td><td>Columns to group by </td></tr> + <tr><td class="paramname">optimizer</td><td>Optimizer to be used </td></tr> + <tr><td class="paramname">optimizer_options</td><td>Optimal parameters for the algorithms</td></tr> + </table> + </dd> +</dl> +<dl class="section return"><dt>Returns</dt><dd>void</dd></dl> +<dl class="section user"><dt>Usage</dt><dd>For function summary information. Run sql> select linear_solver_dense('help'); OR sql> select <a class="el" href="dense__linear__systems_8sql__in.html#a885d6a36c07dc2c048948cb5287a3b92" title="Help function, to print out the supported families. ">linear_solver_dense()</a>; OR sql> select linear_solver_dense('?'); For function usage information. Run sql> select linear_solver_dense('usage'); </dd></dl> + +</div> +</div> +<a class="anchor" id="a003b5a21cffde500fa808f1c6e9c14ae"></a> +<div class="memitem"> +<div class="memproto"> + <table class="memname"> + <tr> + <td class="memname">void linear_solver_dense </td> + <td>(</td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>source_table</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>out_table</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>row_id</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>left_hand_side</em>, </td> + </tr> + <tr> + <td class="paramkey"></td> + <td></td> + <td class="paramtype">varchar </td> + <td class="paramname"><em>right_hand_side</em> </td> + </tr> + <tr> + <td></td> + <td>)</td> + <td></td><td></td> + </tr> + </table> +</div><div class="memdoc"> + +</div> +</div> +</div><!-- contents --> +</div><!-- doc-content --> +<!-- start footer part --> +<div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> + <ul> + <li class="navelem"><a class="el" href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li><li class="navelem"><a class="el" href="dir_efbcf68973d247bbf15f9eecae7f24e3.html">ports</a></li><li class="navelem"><a class="el" href="dir_a4a48839224ef8488facbffa8a397967.html">postgres</a></li><li class="navelem"><a class="el" href="dir_dc596537ad427a4d866006d1a3e1fe29.html">modules</a></li><li class="navelem"><a class="el" href="dir_7513a8b3b7336e99c30a333cfb144104.html">linear_systems</a></li><li class="navelem"><a class="el" href="dense__linear__systems_8sql__in.html">dense_linear_systems.sql_in</a></li> + <li class="footer">Generated on Tue Sep 20 2016 11:27:01 for MADlib by + <a href="http://www.doxygen.org/index.html";> + <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.10 </li> + </ul> +</div> +</body> +</html>
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