# include <vector> # include <cstddef> # include <cppad/speed/det_of_minor.hpp> bool det_of_minor() { bool ok = true; size_t i; // dimension of the matrix A size_t m = 3; // index vectors set so minor is the entire matrix A std::vector<size_t> r(m + 1); std::vector<size_t> c(m + 1); for(i= 0; i < m; i++) { r[i] = i+1; c[i] = i+1; } r[m] = 0; c[m] = 0; // values in the matrix A double data[] = { 1., 2., 3., 3., 2., 1., 2., 1., 2. }; // construct vector a with the values of the matrix A std::vector<double> a(data, data + 9); // evaluate the determinant of A size_t n = m; // minor has same dimension as A double det = CppAD::det_of_minor(a, m, n, r, c); // check the value of the determinant of A ok &= (det == (double) (1*(2*2-1*1) - 2*(3*2-1*2) + 3*(3*1-2*2)) ); // minor where row 0 and column 1 are removed r[m] = 1; // skip row index 0 by starting at row index 1 c[0] = 2; // skip column index 1 by pointing from index 0 to index 2 // evaluate determinant of the minor n = m - 1; // dimension of the minor det = CppAD::det_of_minor(a, m, m-1, r, c); // check the value of the determinant of the minor ok &= (det == (double) (3*2-1*2) ); return ok; }