CppAD: A C++ Algorithmic Differentiation Package
20171217
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Forward mode Taylor coefficient for result of op = ErfOp.
The C++ source code corresponding to this operation is
z = erf(x)
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 results are called y_j have index i_z - j. |
arg | arg[0]: is the variable index corresponding to x. arg[1]: is the parameter index corresponding to the value zero.
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parameter | parameter[ arg[1] ] is the value zero, and parameter[ arg[2] ] is the value 2 / sqrt(pi). |
cap_order | maximum number of orders that will fit in the taylor array. |
taylor | Input: taylor [ arg[0] * 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 - j) * cap_order + k ] for k = 0 , ... , p-1, and j = 0 , ... , 4, is the k-th order Taylor coefficient corresponding to the j-th result for z. Output: taylor [ (i_z-j) * cap_order + k ], for k = p , ... , q, and j = 0 , ... , 4, is the k-th order Taylor coefficient corresponding to the j-th result for z. |
Definition at line 96 of file erf_op.hpp.
Referenced by forward1sweep().