| |
| template<typename FunctorType, typename Scalar> |
| int ei_fdjac1( |
| const FunctorType &Functor, |
| Matrix< Scalar, Dynamic, 1 > &x, |
| Matrix< Scalar, Dynamic, 1 > &fvec, |
| Matrix< Scalar, Dynamic, Dynamic > &fjac, |
| int ml, int mu, |
| Scalar epsfcn) |
| { |
| /* Local variables */ |
| Scalar h; |
| int i, j, k; |
| Scalar eps, temp; |
| int msum; |
| int iflag = 0; |
| |
| /* Function Body */ |
| const Scalar epsmch = epsilon<Scalar>(); |
| const int n = x.size(); |
| assert(fvec.size()==n); |
| Matrix< Scalar, Dynamic, 1 > wa1(n); |
| Matrix< Scalar, Dynamic, 1 > wa2(n); |
| |
| eps = ei_sqrt((std::max(epsfcn,epsmch))); |
| msum = ml + mu + 1; |
| if (msum >= n) { |
| /* computation of dense approximate jacobian. */ |
| for (j = 0; j < n; ++j) { |
| temp = x[j]; |
| h = eps * ei_abs(temp); |
| if (h == 0.) |
| h = eps; |
| x[j] = temp + h; |
| iflag = Functor(x, wa1); |
| if (iflag < 0) |
| return iflag; |
| x[j] = temp; |
| fjac.col(j) = (wa1-fvec)/h; |
| } |
| |
| }else { |
| /* computation of banded approximate jacobian. */ |
| for (k = 0; k < msum; ++k) { |
| for (j = k; msum< 0 ? j > n: j < n; j += msum) { |
| wa2[j] = x[j]; |
| h = eps * ei_abs(wa2[j]); |
| if (h == 0.) h = eps; |
| x[j] = wa2[j] + h; |
| } |
| iflag = Functor(x, wa1); |
| if (iflag < 0) { |
| return iflag; |
| } |
| for (j = k; msum< 0 ? j > n: j < n; j += msum) { |
| x[j] = wa2[j]; |
| h = eps * ei_abs(wa2[j]); |
| if (h == 0.) h = eps; |
| for (i = 0; i < n; ++i) { |
| fjac(i,j) = 0.; |
| if (i >= j - mu && i <= j + ml) { |
| fjac(i,j) = (wa1[i] - fvec[i]) / h; |
| } |
| } |
| } |
| } |
| } |
| return iflag; |
| } /* fdjac1_ */ |
| |