template<class Base >

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

inline

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

The C++ source code corresponding to this operation is

     z = pow(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

p	lowest order of the Taylor coefficient that we are computing.
q	highest order of the Taylor coefficient that we are computing.
i_z	variable index corresponding to the last (primary) result for this operation; i.e. the row index in taylor corresponding to z. Note that there are three results for this operation, below they are referred to as z_0, z_1, z_2 and correspond to z_0 = log(x) z_1 = z0 * y z_2 = exp(z1) It follows that the final result is equal to z; i.e., z = z_2 = pow(x, y).
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.
taylor	Input: If x is a variable, `taylor [ arg[0] * cap_order + k ]` for k = 0 , ... , q, is the k-th order Taylor coefficient corresponding to x. Input: If y is a variable, `taylor [ arg[1] * cap_order + k ]` for k = 0 , ... , q is the k-th order Taylor coefficient corresponding to y. Input: `taylor [ (i_z-2+j) * cap_order + k ]`, for j = 0, 1, 2 , for k = 0 , ... , p-1, is the k-th order Taylor coefficient corresponding to z_j. Output: `taylor [ (i_z-2+j) * cap_order + k ]`, is the k-th order Taylor coefficient corresponding to z_j.

Checked Assertions

Definition at line 471 of file pow_op.hpp.