CppAD: A C++ Algorithmic Differentiation Package
20171217


inline 
Compute forward mode Taylor coefficient for result of op = SinOp.
The C++ source code corresponding to this operation is
z = sin(x)
The auxillary result is
y = cos(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. 
q  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 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. 
tpv = (cap_order1) * r + 1
which is the number of Taylor coefficients per variabletaylor  Input: taylor [ i_x * tpv + 0 ] is the zero order Taylor coefficient for all directions and taylor [ i_x * tpv + (k1)*r + ell + 1 for k = 1 , ... , q, ell = 0 , ..., r1, is the kth order Taylor coefficient corresponding to x and the ellth direction. Input: taylor [ i_z * tpv + 0 ] , is the zero order Taylor coefficient for all directions and taylor [ i_z * tpv + (k1)*r + ell + 1 ] , for k = 1 , ... , q1, ell = 0, ..., r1, is the kth order Taylor coefficient corresponding to z and the ellth direction. Input: taylor [ (i_z1) * tpv + 0 ] , is the zero order Taylor coefficient for all directions and taylor [ (i_z1) * tpv + (k1)*r + ell + 1 ] , for k = 1 , ... , q1, ell = 0, ..., r1, is the kth order Taylor coefficient corresponding to the auxillary result y and the ellth direction. Output: taylor [ i_z * tpv + (q1)*r + ell + 1] , ell = 0, ..., r1, is the qth order Taylor coefficient corresponding to z and the ellth direction. 
Definition at line 97 of file sin_op.hpp.
Referenced by forward2sweep().