CppAD: A C++ Algorithmic Differentiation Package  20171217
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template<class Base >
void CppAD::local::forward_exp_op_dir ( size_t  q,
size_t  r,
size_t  i_z,
size_t  i_x,
size_t  cap_order,
Base *  taylor 
)
inline

Multiple direction forward mode Taylor coefficient for op = ExpOp.

The C++ source code corresponding to this operation is

     z = exp(x)
Template Parameters
Basebase type for the operator; i.e., this operation was recorded using AD< Base > and computations by this routine are done using type Base.
Parameters
qorder of the Taylor coefficients that we are computing.
rnumber of directions for Taylor coefficients that we are computing.
i_zvariable index corresponding to the last (primary) result for this operation; i.e. the row index in taylor corresponding to z.
i_xvariable index corresponding to the argument for this operator; i.e. the row index in taylor corresponding to x.
cap_ordermaximum 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
taylorInput: 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 78 of file exp_op.hpp.

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