CppAD: A C++ Algorithmic Differentiation Package
20171217


inline 
Compute reverse mode partial derivatives 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. 
d  highest order Taylor of the Taylor coefficients that we are computing the partial derivatives with respect to. 
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.

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 , ... , d, is the kth order Taylor coefficient corresponding to x. taylor [ (i_z  j) * cap_order + k ] for k = 0 , ... , d, and for j = 0 , ... , 4, is the kth order Taylor coefficient corresponding to the jth result for this operation. 
nc_partial  number of columns in the matrix containing all the partial derivatives 
partial  Input: partial [ arg[0] * nc_partial + k ] for k = 0 , ... , d, is the partial derivative of G( z , x , w , u , ... ) with respect to the kth order Taylor coefficient for x. Input: partial [ (i_z  j) * nc_partial + k ] for k = 0 , ... , d, and for j = 0 , ... , 4, is the partial derivative of G( z , x , w , u , ... ) with respect to the kth order Taylor coefficient for the jth result of this operation. Output: partial [ arg[0] * nc_partial + k ] for k = 0 , ... , d, is the partial derivative of H( x , w , u , ... ) with respect to the kth order Taylor coefficient for x. Output: partial [ (i_zj) * nc_partial + k ] for k = 0 , ... , d, and for j = 0 , ... , 4, may be used as work space; i.e., may change in an unspecified manner. 
Definition at line 479 of file erf_op.hpp.
Referenced by reverse_sweep().