<?xml version='1.0'?> <?xml-stylesheet type='text/xsl' href='pmathml.xsl'?> <html xmlns='http://www.w3.org/1999/xhtml'> <head> <title>Sacado Speed: Gradient of Determinant by Minor Expansion</title> <meta name="description" id="description" content="Sacado Speed: Gradient of Determinant by Minor Expansion"/> <meta name="keywords" id="keywords" content=" sacado speed minor link_det_minor "/> <style type='text/css'> body { color : black } body { background-color : white } A:link { color : blue } A:visited { color : purple } A:active { color : purple } </style> <script type='text/javascript' language='JavaScript' src='_sacado_det_minor.cpp_xml.js'> </script> </head> <body> <table><tr> <td> <a href="http://www.coin-or.org/CppAD/" target="_top"><img border="0" src="_image.gif"/></a> </td> <td><a href="speed_sacado.xml" target="_top">Prev</a> </td><td><a href="sacado_det_lu.cpp.xml" target="_top">Next</a> </td><td> <select onchange='choose_across0(this)'> <option>Index-></option> <option>contents</option> <option>reference</option> <option>index</option> <option>search</option> <option>external</option> </select> </td> <td> <select onchange='choose_up0(this)'> <option>Up-></option> <option>CppAD</option> <option>Appendix</option> <option>speed</option> <option>speed_sacado</option> <option>sacado_det_minor.cpp</option> </select> </td> <td> <select onchange='choose_down3(this)'> <option>Appendix-></option> <option>Faq</option> <option>speed</option> <option>Theory</option> <option>glossary</option> <option>Bib</option> <option>Bugs</option> <option>WishList</option> <option>whats_new</option> <option>include_deprecated</option> <option>License</option> </select> </td> <td> <select onchange='choose_down2(this)'> <option>speed-></option> <option>speed_main</option> <option>speed_utility</option> <option>speed_double</option> <option>speed_adolc</option> <option>speed_cppad</option> <option>speed_fadbad</option> <option>speed_sacado</option> </select> </td> <td> <select onchange='choose_down1(this)'> <option>speed_sacado-></option> <option>sacado_det_minor.cpp</option> <option>sacado_det_lu.cpp</option> <option>sacado_ode.cpp</option> <option>sacado_poly.cpp</option> <option>sacado_sparse_hessian.cpp</option> <option>sacado_sparse_jacobian.cpp</option> </select> </td> <td>sacado_det_minor.cpp</td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>link_det_minor</option> </select> </td> </tr></table><br/> <center><b><big><big>Sacado Speed: Gradient of Determinant by Minor Expansion</big></big></b></center> <br/> <b><big><a name="link_det_minor" id="link_det_minor">link_det_minor</a></big></b> <code><font color='blue'><pre style='display:inline'> # include <vector> # include <Sacado.hpp> # include <cppad/speed/det_by_minor.hpp> # include <cppad/speed/uniform_01.hpp> bool link_det_minor( size_t size , size_t repeat , CppAD::vector<double> &matrix , CppAD::vector<double> &gradient ) { // ----------------------------------------------------- // setup // object for computing determinant typedef Sacado::Rad::ADvar<double> ADScalar; typedef CppAD::vector<ADScalar> ADVector; CppAD::det_by_minor<ADScalar> Det(size); size_t i; // temporary index size_t n = size * size; // number of independent variables ADScalar detA; // AD value of the determinant ADVector A(n); // AD version of matrix // ------------------------------------------------------ while(repeat--) { // get the next matrix CppAD::uniform_01(n, matrix); // set independent variable values for(i = 0; i < n; i++) A[i] = matrix[i]; // compute the determinant detA = Det(A); // Compute the gradient of detA ADScalar::Gradcomp(); // return gradient using reverse mode for(i =0; i < n; i++) gradient[i] = A[i].adj(); // partial detA w.r.t A[i] } // --------------------------------------------------------- return true; } </pre></font></code> <hr/>Input File: speed/sacado/det_minor.cpp </body> </html>