Prev Next fadbad_ode.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}} }@)@
Fadbad Speed: Ode

Specifications
See link_ode .

Implementation
// suppress conversion warnings before other includes
# include <cppad/wno_conversion.hpp>
//
# include <FADBAD++/fadiff.h>
# include <algorithm>
# include <cassert>
# include <cppad/utility/vector.hpp>
# include <cppad/speed/uniform_01.hpp>
# include <cppad/speed/ode_evaluate.hpp>

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

namespace fadbad {
     // define fabs for use by ode_evaluate
     fadbad::F<double> fabs(const fadbad::F<double>& x)
     {     return std::max(-x, x); }
}

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

     typedef fadbad::F<double>       ADScalar;
     typedef CppAD::vector<ADScalar> ADVector;

     size_t i, j;
     size_t p = 0;          // use ode to calculate function values
     size_t n = size;       // number of independent variables
     size_t m = n;          // number of dependent variables
     ADVector X(n), Y(m);   // independent and dependent variables

     // -------------------------------------------------------------
     while(repeat--)
     {     // choose next x value
          CppAD::uniform_01(n, x);
          for(j = 0; j < n; j++)
          {     // set value of x[j]
               X[j] = x[j];
               // set up for X as the independent variable vector
               X[j].diff(j, n);
          }

          // evaluate function
          CppAD::ode_evaluate(X, p, Y);

          // return values with Y as the dependent variable vector
          for(i = 0; i < m; i++)
          {     for(j = 0; j < n; j++)
                    jacobian[ i * n + j ] = Y[i].d(j);
          }
     }
     return true;
}

Input File: speed/fadbad/ode.cpp