Prev Next sacado_mat_mul.cpp

@(@\newcommand{\W}[1]{ \; #1 \; } \newcommand{\R}[1]{ {\rm #1} } \newcommand{\B}[1]{ {\bf #1} } \newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} } \newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} } \newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} } \newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }@)@
Sacado Speed: Matrix Multiplication

Specifications
See link_mat_mul .

Implementation
// suppress conversion warnings before other includes
# include <cppad/wno_conversion.hpp>
//
# include <Sacado.hpp>
# include <cppad/utility/vector.hpp>
# include <cppad/speed/mat_sum_sq.hpp>
# include <cppad/speed/uniform_01.hpp>

// list of possible options
# include <map>
extern std::map<std::string, bool> global_option;

bool link_mat_mul(
     size_t                           size     ,
     size_t                           repeat   ,
     CppAD::vector<double>&           x        ,
     CppAD::vector<double>&           z        ,
     CppAD::vector<double>&           dz       )
{
     // speed test global option values
     if( global_option["memory"] || global_option["onetape"] || global_option["atomic"] || global_option["optimize"] )
          return false;
     // -----------------------------------------------------
     // setup

     // object for computing determinant
     typedef Sacado::Rad::ADvar<double>    ADScalar;
     typedef CppAD::vector<ADScalar>       ADVector;

     size_t j;                // temporary index
     size_t m = 1;            // number of dependent variables
     size_t n = size * size;  // number of independent variables
     ADVector   X(n);         // AD domain space vector
     ADVector   Y(n);         // Store product matrix
     ADVector   Z(m);         // AD range space vector
     ADScalar   f;

     // ------------------------------------------------------
     while(repeat--)
     {     // get the next matrix
          CppAD::uniform_01(n, x);

          // set independent variable values
          for(j = 0; j < n; j++)
               X[j] = x[j];

          // do the computation
          mat_sum_sq(size, X, Y, Z);

          // create function object f : X -> Z
          f = Z[0];

          // reverse mode gradient of last ADvar computed value; i.e., f
          ADScalar::Gradcomp();

          // return gradient
          for(j = 0; j < n; j++)
               dz[j] = X[j].adj(); // partial f w.r.t X[j]
     }
     // return function value
     z[0] = f.val();

     // ---------------------------------------------------------
     return true;
}

Input File: speed/sacado/mat_mul.cpp