template<class Base >

void forward_csum_op	(	size_t	d,
		size_t	i_z,
		const addr_t *	arg,
		size_t	num_par,
		const Base *	parameter,
		size_t	nc_taylor,
		Base *	taylor
	)		[inline]

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

This operation is

	z = p + 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:

d	order of the Taylor coefficient 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 p 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).
num_par	is the number of parameters in parameter.
parameter	is the parameter vector for this operation sequence.
nc_taylor	number of colums in the matrix containing all the Taylor coefficients.
taylor	Input: taylor [ arg[2+i] * nc_taylor + k ] for i = 1 , ... , m and k = 0 , ... , d is the k-th order Taylor coefficient corresponding to x(i) Input: taylor [ arg[2+m+i] * nc_taylor + k ] for i = 1 , ... , n and k = 0 , ... , d is the k-th order Taylor coefficient corresponding to y(i) Input: taylor [ i_z * nc_taylor + k ] for k = 0 , ... , d - 1 is the k-th order Taylor coefficient corresponding to z. Output: taylor [ i_z * nc_taylor + d ] is the d-th order Taylor coefficient corresponding to z.

Definition at line 90 of file csum_op.hpp.

Referenced by forward0sweep(), and forward_sweep().