template<class Base >

void CppAD::local::forward_divvp_op_dir ( size_t  q, size_t  r, size_t  i_z, const addr_t *  arg, const Base *  parameter, size_t  cap_order, Base *  taylor  )

inline

Multiple direction forward mode Taylor coefficients for op = DivvvOp.

The C++ source code corresponding to this operation is

     z = x / y

In the documentation below, this operations is for the case where x is a variable and y is a parameter.

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	is the 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 result for this operation; i.e. the row index in taylor corresponding to z.
arg	arg[0] index corresponding to the left operand for this operator; i.e. the index corresponding to x. arg[1] index corresponding to the right operand for this operator; i.e. the index corresponding to y.
parameter	If x is a parameter, parameter [ arg[0] ] is the value corresponding to x. If y is a parameter, parameter [ arg[1] ] is the value corresponding to y.
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: If x is a variable, taylor [ arg[0] * tpv + 0 ], is the zero order Taylor coefficient for all directions and taylor [ arg[0] * 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: If y is a variable, taylor [ arg[1] * tpv + 0 ], is the zero order Taylor coefficient for all directions and taylor [ arg[1] * tpv + (k-1)*r + ell + 1 ], for k = 1 , ... , q, ell = 0, ..., r-1, is the k-th order Taylor coefficient corresponding to y 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. 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) == 2
• NumRes(op) == 1
• 0 < q < cap_order

Definition at line 458 of file div_op.hpp.

Referenced by forward2sweep().