CppAD: A C++ Algorithmic Differentiation Package  20171217
template<class Base >
 void CppAD::local::forward_erf_op_dir ( size_t q, size_t r, size_t i_z, const addr_t * arg, const Base * parameter, size_t cap_order, Base * taylor )
inline

Forward mode Taylor coefficient for result of op = ErfOp.

The C++ source code corresponding to this operation is

```     z = erf(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 the Taylor coefficients that we afre computing. i_z variable index corresponding to the last (primary) result for this operation; i.e. the row index in taylor corresponding to z. The auxillary results have index i_z - j for j = 0 , ... , 4 (and include z). arg arg[0]: is the variable index corresponding to x. arg[1]: is the parameter index corresponding to the value zero. [2]: is the parameter index correspodning to the value 2 / sqrt(pi). parameter parameter[ arg[1] ] is the value zero, and parameter[ arg[2] ] is the value 2 / sqrt(pi). 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 - j) * tpv + 0 ] is the zero order Taylor coefficient for all directions and the j-th result for z. for k = 1 , ... , q-1, ell = 0, ... , r-1, ` taylor[ (i_z - j) * tpv + (k-1)*r + ell + 1] ` is the Taylor coefficient for the k-th order, ell-th direction, and j-th auzillary result. Output: taylor [ (i_z-j) * tpv + (q-1)*r + ell + 1 ], for ell = 0 , ... , r-1, is the Taylor coefficient for the q-th order, ell-th direction, and j-th auzillary result.
Checked Assertions
• NumArg(op) == 3
• NumRes(op) == 5
• 0 < q < cap_order

Definition at line 332 of file erf_op.hpp.

Referenced by forward2sweep().