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

Multiple direction forward mode Taylor coefficients for op = CsumOp.

This operation is

```     z = s + x(1) + ... + x(m) - y(1) - ... - y(n).
```
Template Parameters
 Base base type for the operator; i.e., this operation was recorded using AD and computations by this routine are done using type Base.
Parameters
 q order ot 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 result for this operation; i.e. the row index in taylor corresponding to z. arg arg[0] is the number of addition variables in this cummulative summation; i.e., `m`. arg[1] is the number of subtraction variables in this cummulative summation; i.e., `m`. `parameter[ arg[2] ]` is the parameter value `s` in this cummunative summation. `arg[2+i]` for `i = 1 , ... , m` is the variable index of `x(i)`. `arg[2+arg[0]+i]` for `i = 1 , ... , n` is the variable index of `y(i)`. num_par is the number of parameters in parameter. parameter is the parameter vector for this operation sequence. cap_order number of colums in the matrix containing all the Taylor coefficients. taylor Input: `taylor [ arg[2+i]*((cap_order-1)*r + 1) + 0 ]` for `i = 1 , ... , m` is the 0-th order Taylor coefficient corresponding to `x(i)` and `taylor [ arg[2+i]*((cap_order-1)*r + 1) + (q-1)*r + ell + 1 ]` for `i = 1 , ... , m`, `ell = 0 , ... , r-1` is the q-th order Taylor coefficient corresponding to `x(i)` and direction ell. Input: `taylor [ arg[2+m+i]*((cap_order-1)*r + 1) + 0 ]` for `i = 1 , ... , n` is the 0-th order Taylor coefficient corresponding to `y(i)` and `taylor [ arg[2+m+i]*((cap_order-1)*r + 1) + (q-1)*r + ell + 1 ]` for `i = 1 , ... , n`, `ell = 0 , ... , r-1` is the q-th order Taylor coefficient corresponding to `y(i)` and direction ell. Output: `taylor [ i_z*((cap_order-1)*r+1) + (q-1)*r + ell + 1 ]` is the q-th order Taylor coefficient corresponding to z for direction `ell = 0 , ... , r-1`.

Definition at line 211 of file csum_op.hpp.

Referenced by forward2sweep().