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<Base> 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().