template<typename Base >

template<typename VectorBase , typename SizeVector >

void CppAD::ADFun< Base >::subgraph_reverse	(	size_t	q,
		size_t	ell,
		SizeVector &	col,
		VectorBase &	dw
	)

Use reverse mode to compute derivative of Taylor coefficients on a subgraph.

The function $X : {\bf R} \times {\bf R}^{n \times q} \rightarrow {\bf R}$ is defined by

$X(t , u) = \sum_{k=0}^{q-1} u^{(k)} t^k$

The function $Y : {\bf R} \times {\bf R}^{n \times q} \rightarrow {\bf R}$ is defined by

$Y(t , u) = F[ X(t, u) ]$

The function $W : {\bf R}^{n \times q} \rightarrow {\bf R}$ is defined by

$W(u) = \sum_{k=0}^{q-1} ( w^{(k)} )^{\rm T} \frac{1}{k !} \frac{ \partial^k } { t^k } Y(0, u)$

Parameters

q	is the number of Taylor coefficient we are differentiating.
ell	is the component of the range that is selected for differentiation.
col	is the set of indices j = col[c] where the return value is defined. If an index j is not in col, then either its derivative is zero, or it is not in select_domain.
dw	Is a vector such that for j = col[c], $k = 0 , \ldots , q-1$ $dw[ j * q + k ] = W^{(1)} ( x )_{j,k}$ where the matrix is the value for that corresponding to the forward mode Taylor coefficients for the independent variables as specified by previous calls to Forward.

subgraph_info.process_range(): The element process_range[ell] is set to true by this operation.

subgraph_info.in_subgraph_: some of the elements of this vector are set to have value ell (so it can not longer be used to determine the subgraph corresponding to the ell-th dependent variable).

Definition at line 259 of file subgraph_reverse.hpp.