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

Compute forward mode Taylor coefficient for result of op = SinhOp.

The C++ source code corresponding to this operation is

```     z = sinh(x)
```

The auxillary result is

```     y = cosh(x)
```

The value of y, and its derivatives, are computed along with the value and derivatives of z.

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. The auxillary result is called y has index i_z - 1. 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: `taylor [ i_x * tpv + 0 ]` is the zero order Taylor coefficient for all directions and `taylor [ i_x * 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. Input: `taylor [ (i_z-1) * tpv + 0 ]`, is the zero order Taylor coefficient for all directions and `taylor [ (i_z-1) * tpv + (k-1)*r + ell + 1 ]`, for k = 1 , ... , q-1, ell = 0, ..., r-1, is the k-th order Taylor coefficient corresponding to the auxillary result y 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 + 1 < i_z
• 0 < q
• q < cap_order

Definition at line 98 of file sinh_op.hpp.

Referenced by forward2sweep().