# include <cppad/speed/det_by_minor.hpp>
# include <cppad/speed/det_grad_33.hpp>
# include <cppad/speed/uniform_01.hpp>
# include <adolc/adouble.h>
# include <adolc/interfaces.h>
void compute_det_minor(
size_t size ,
size_t repeat ,
double* matrix ,
double* gradient )
{
// -----------------------------------------------------
// setup
int tag = 0; // tape identifier
int keep = 1; // keep forward mode results in buffer
int m = 1; // number of dependent variables
int n = size*size; // number of independent variables
double f; // function value
int i; // temporary index
// object for computing determinant
typedef adouble ADScalar;
typedef ADScalar* ADVector;
CppAD::det_by_minor<ADScalar> Det(size);
// AD value of determinant
ADScalar detA;
// AD version of matrix
ADVector A = new ADScalar[n];
// vectors of reverse mode weights
double *u = new double[m];
u[0] = 1.;
// choose a matrix
CppAD::uniform_01(n, matrix);
// declare independent variables
trace_on(tag, keep);
for(i = 0; i < n; i++)
A[i] <<= matrix[i];
// AD computation of the determinant
detA = Det(A);
// create function object f : A -> detA
detA >>= f;
trace_off();
// ------------------------------------------------------
while(repeat--)
{ // get the next matrix
CppAD::uniform_01(n, matrix);
// evaluate the determinant at the new matrix value
zos_forward(tag, m, n, keep, matrix, &f);
// evaluate and return gradient using reverse mode
fos_reverse(tag, m, n, u, gradient);
}
// ------------------------------------------------------
// tear down
delete [] u;
delete [] A;
return;
}