CppAD: A C++ Algorithmic Differentiation Package
20171217
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Forward mode Taylor coefficient for result of op = AtanhOp.
The C++ source code corresponding to this operation is
z = atanh(x)
The auxillary result is
y = 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 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. |
Definition at line 41 of file atanh_op.hpp.
Referenced by forward1sweep().