template<class Base >

void CppAD::local::forward_log_op_dir ( size_t  q, size_t  r, size_t  i_z, size_t  i_x, size_t  cap_order, Base *  taylor  )

inline

Muiltiple directions Taylor coefficient for op = LogOp.

The C++ source code corresponding to this operation is

     z = log(x)

Template Parameters

Base	base type for the operator; i.e., this operation was recorded using AD< Base > and computations by this routine are done using type Base.

Parameters

q	order of the Taylor coefficients that we are computing.
r	number of directions for Taylor coefficients that we are computing.
i_z	variable index corresponding to the last (primary) result for this operation; i.e. the row index in taylor corresponding to z.
i_x	variable index corresponding to the argument for this operator; i.e. the row index in taylor corresponding to x.
cap_order	maximum number of orders that will fit in the taylor array.

tpv

We use the notation tpv = (cap_order-1) * r + 1 which is the number of Taylor coefficients per variable

Parameters

taylor

Input: If x is a variable, taylor [ arg[0] * tpv + 0 ], is the zero order Taylor coefficient for all directions and taylor [ arg[0] * tpv + (k-1)*r + ell + 1 ], for k = 1 , ... , q, ell = 0, ..., r-1, is the k-th order Taylor coefficient corresponding to x and the ell-th direction. Input: taylor [ i_z * tpv + 0 ], is the zero order Taylor coefficient for all directions and taylor [ i_z * tpv + (k-1)*r + ell + 1 ], for k = 1 , ... , q-1, ell = 0, ..., r-1, is the k-th order Taylor coefficient corresponding to z and the ell-th direction. Output: taylor [ i_z * tpv + (q-1)*r + ell + 1], ell = 0, ..., r-1, is the q-th order Taylor coefficient corresponding to z and the ell-th direction.

Checked Assertions

• NumArg(op) == 1
• NumRes(op) == 2
• i_x < i_z
• 0 < q
• q < cap_order

Definition at line 84 of file log_op.hpp.

Referenced by forward2sweep(), forward_powvp_op_dir(), and forward_powvv_op_dir().