CppAD: A C++ Algorithmic Differentiation Package
20171217
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inline |
Compute zero order forward mode Taylor coefficients for result of op = PowvvOp.
The C++ source code corresponding to this operation is
z = pow(x, y)
In the documentation below, this operations is for the case where both x and y are variables and the argument parameter is not used.
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. |
i_z | variable index corresponding to the last (primary) result for this operation; i.e. the row index in taylor corresponding to z. Note that there are three results for this operation, below they are referred to as z_0, z_1, z_2 and correspond to z_0 = log(x) z_1 = z0 * y z_2 = exp(z1)It follows that the final result is equal to z; i.e., z = z_2 = pow(x, y). |
arg | arg[0] index corresponding to the left operand for this operator; i.e. the index corresponding to x. arg[1] index corresponding to the right operand for this operator; i.e. the index corresponding to y. |
parameter | If x is a parameter, parameter [ arg[0] ] is the value corresponding to x. If y is a parameter, parameter [ arg[1] ] is the value corresponding to y. |
cap_order | maximum number of orders that will fit in the taylor array. |
taylor | Input: If x is a variable, taylor [ arg[0] * cap_order + 0 ] is the zero order Taylor coefficient corresponding to x. Input: If y is a variable, taylor [ arg[1] * cap_order + 0 ] is the k-th order Taylor coefficient corresponding to y. Output: taylor [ (i_z - 2 + j) * cap_order + 0 ] is the zero order Taylor coefficient corresponding to z_j. |
Definition at line 135 of file pow_op.hpp.
Referenced by forward0sweep().