template<class Base >

void CppAD::local::forward_acosh_op	(	size_t	p,
		size_t	q,
		size_t	i_z,
		size_t	i_x,
		size_t	cap_order,
		Base *	taylor
	)

inline

Compute forward mode Taylor coefficient for result of op = AcoshOp.

The C++ source code corresponding to this operation is

     z = acosh(x)

The auxillary result is

     y = sqrt(x * x - 1)

The value of y, and its derivatives, are computed along with the value and derivatives of z.

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 coefficients that we are computing.
q	highest order of the Taylor coefficients 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. The auxillary result is called y has index i_z - 1.
i_x	variable index corresponding to the argument for this operator; i.e. the row index in taylor corresponding to x.
cap_order	maximum number of orders that will fit in the `taylor` array.
taylor	Input: `taylor [ i_x * cap_order + k ]` for k = 0 , ... , q, is the k-th order Taylor coefficient corresponding to x. Input: `taylor [ i_z * cap_order + k ]` for k = 0 , ... , p - 1, is the k-th order Taylor coefficient corresponding to z. Input: `taylor [ ( i_z - 1) * cap_order + k ]` for k = 0 , ... , p-1, is the k-th order Taylor coefficient corresponding to the auxillary result y. Output: `taylor [ i_z * cap_order + k ]`, for k = p , ... , q, is the k-th order Taylor coefficient corresponding to z. Output: `taylor [ ( i_z - 1 ) * cap_order + k ]`, for k = p , ... , q, is the k-th order Taylor coefficient corresponding to the autillary result y.

Checked Assertions

Definition at line 41 of file acosh_op.hpp.