CppAD: A C++ Algorithmic Differentiation Package
20171217


inline 
Compute forward mode Taylor coefficient for result of op = AsinhOp.
The C++ source code corresponding to this operation is
z = asinh(x)
The auxillary result is
y = sqrt(1 + x * x)
The value of y, and its derivatives, are computed along with the value and derivatives of z.
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. 
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 kth order Taylor coefficient corresponding to x. Input: taylor [ i_z * cap_order + k ] for k = 0 , ... , p  1, is the kth order Taylor coefficient corresponding to z. Input: taylor [ ( i_z  1) * cap_order + k ] for k = 0 , ... , p1, is the kth order Taylor coefficient corresponding to the auxillary result y. Output: taylor [ i_z * cap_order + k ] , for k = p , ... , q, is the kth order Taylor coefficient corresponding to z. Output: taylor [ ( i_z  1 ) * cap_order + k ] , for k = p , ... , q, is the kth order Taylor coefficient corresponding to the autillary result y. 
Definition at line 41 of file asinh_op.hpp.
Referenced by forward1sweep().