CppAD: A C++ Algorithmic Differentiation Package
20130918
|
void CppAD::forward_cosh_op | ( | size_t | p, |
size_t | q, | ||
size_t | i_z, | ||
size_t | i_x, | ||
size_t | nc_taylor, | ||
Base * | taylor | ||
) | [inline] |
Compute forward mode Taylor coefficient for result of op = CoshOp.
The C++ source code corresponding to this operation is
z = cosh(x)
The auxillary result is
y = sinh(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. |
nc_taylor | number of colums in the matrix containing all the Taylor coefficients. |
taylor | Input: taylor [ i_x * nc_taylor + k ] for k = 0 , ... , q, is the k-th order Taylor coefficient corresponding to x. Input: taylor [ i_z * nc_taylor + k ] for k = 0 , ... , p - 1, is the k-th order Taylor coefficient corresponding to z. Input: taylor [ ( i_z - 1) * nc_taylor + k ] for k = 0 , ... , p-1, is the k-th order Taylor coefficient corresponding to the auxillary result y. Output: taylor [ i_z * nc_taylor + k ] , for k = p , ... , q, is the k-th order Taylor coefficient corresponding to z. Output: taylor [ ( i_z - 1 ) * nc_taylor + k ] , for k = p , ... , q, is the k-th order Taylor coefficient corresponding to the autillary result y. |
Definition at line 41 of file cosh_op.hpp.
Referenced by forward1sweep().