CppAD: A C++ Algorithmic Differentiation Package  20130102
template<class Base >
void forward_sinh_op ( size_t  j,
size_t  i_z,
size_t  i_x,
size_t  nc_taylor,
Base *  taylor 
) [inline]

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

The C++ source code corresponding to this operation is

	z = sinh(x)

The auxillary result is

	y = cosh(x)

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

Template Parameters:
Basebase type for the operator; i.e., this operation was recorded using AD< Base > and computations by this routine are done using type Base.
Parameters:
jorder of the Taylor coefficients that we are computing.
i_zvariable 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_xvariable index corresponding to the argument for this operator; i.e. the row index in taylor corresponding to x.
nc_taylornumber of colums in the matrix containing all the Taylor coefficients.
taylorInput: taylor [ i_x * nc_taylor + k ] for k = 0 , ... , j is the k-th order Taylor coefficient corresponding to x.
Input: taylor [ i_z * nc_taylor + k ] for k = 0 , ... , j - 1 is the k-th order Taylor coefficient corresponding to z.
Input: taylor [ ( i_z - 1) * nc_taylor + k ] for k = 0 , ... , j - 1 is the k-th order Taylor coefficient corresponding to the auxillary result y.
Output: taylor [ i_z * nc_taylor + j ] is the j-th order Taylor coefficient corresponding to z.
Output: taylor [ ( i_z - 1 ) * nc_taylor + j ] is the j-th order Taylor coefficient corresponding to the autillary result y.
Checked Assertions
  • NumArg(op) == 1
  • NumRes(op) == 2
  • i_x + 1 < i_z
  • j < nc_taylor

Definition at line 43 of file sinh_op.hpp.

Referenced by forward_sweep().

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