CppAD: A C++ Algorithmic Differentiation Package  20171217
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros
template<typename Base >
template<typename VectorBase >
VectorBase CppAD::ADFun< Base >::Forward ( size_t  q,
const VectorBase &  xq,
std::ostream &  s = std::cout 

forward mode user API, multiple directions one order.

Multiple orders, one direction, forward mode Taylor coefficieints.

Template Parameters
BaseThe type used during the forward mode computations; i.e., the corresponding recording of operations used the type AD<Base>.
VectorBaseis a Simple Vector class with eleements of type Base.
qis the hightest order for this forward mode computation; i.e., after this calculation there will be q+1 Taylor coefficients per variable.
xqcontains Taylor coefficients for the independent variables. The size of xq must either be n or (q+1)*n, We define p = q + 1 - xq.size()/n. For j = 0 , ... , n-1, k = p, ... , q, are xq[ (q+1-p)*j + k - p ] is the k-th order coefficient for the j-th independent variable.
sIs the stream where output corresponding to PriOp operations will written.
contains Taylor coefficients for the dependent variables. The size of the return value y is m*(q+1-p). For i = 0, ... , m-1, k = p, ..., q, y[(q+1-p)*i + (k-p)] is the k-th order coefficient for the i-th dependent variable.
The Taylor coefficients up to order p-1 are inputs and the coefficents from order p through q are outputs. Let N = num_var_tape_, and C = cap_order_taylor_. Note that for i = 1 , ..., N-1, k = 0 , ..., q, taylor_[ C*i + k ] is the k-th order cofficent, for the i-th varaible on the tape. (The first independent variable has index one on the tape and there is no variable with index zero.)

Definition at line 78 of file forward.hpp.