template<class Base >

void CppAD::local::reverse_csum_op ( size_t  d, size_t  i_z, const addr_t *  arg, size_t  nc_partial, Base *  partial  )

inline

Compute reverse mode Taylor coefficients for result of op = CsumOp.

This operation is

     z = q + x(1) + ... + x(m) - y(1) - ... - y(n).
     H(y, x, w, ...) = G[ z(x, y), y, x, w, ... ]

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

d	order the highest order Taylor coefficient that we are computing the partial derivatives with respect to.
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 q in this cummunative summation. arg[2+i] for i = 1 , ... , m is the value x(i). arg[2+arg[0]+i] for i = 1 , ... , n is the value y(i).
nc_partial	number of colums in the matrix containing all the partial derivatives.
partial	Input: partial [ arg[2+i] * nc_partial + k ] for i = 1 , ... , m and k = 0 , ... , d is the partial derivative of G(z, y, x, w, ...) with respect to the k-th order Taylor coefficient corresponding to x(i) Input: partial [ arg[2+m+i] * nc_partial + k ] for i = 1 , ... , n and k = 0 , ... , d is the partial derivative of G(z, y, x, w, ...) with respect to the k-th order Taylor coefficient corresponding to y(i) Input: partial [ i_z * nc_partial + k ] for i = 1 , ... , n and k = 0 , ... , d is the partial derivative of G(z, y, x, w, ...) with respect to the k-th order Taylor coefficient corresponding to z. Output: partial [ arg[2+i] * nc_partial + k ] for i = 1 , ... , m and k = 0 , ... , d is the partial derivative of H(y, x, w, ...) with respect to the k-th order Taylor coefficient corresponding to x(i) Output: partial [ arg[2+m+i] * nc_partial + k ] for i = 1 , ... , n and k = 0 , ... , d is the partial derivative of H(y, x, w, ...) with respect to the k-th order Taylor coefficient corresponding to y(i)

Definition at line 332 of file csum_op.hpp.

Referenced by reverse_sweep().