CppAD: A C++ Algorithmic Differentiation Package
20171217
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inline |
forward mode Taylor coefficient for result of op = DisOp.
The C++ source code corresponding to this operation is
z = f(x)
where f is a piecewise constant function (and it's derivative is always calculated as zero).
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 | is the lowest order Taylor coefficient that will be calculated. |
q | is the highest order Taylor coefficient that will be calculated. |
r | is the number of directions, for each order, that will be calculated (except for order zero wich only has one direction). |
i_z | variable index corresponding to the result for this operation; i.e. the row index in taylor corresponding to z. |
arg | arg[0] is the index, in the order of the discrete functions defined by the user, for this discrete function. arg[1] variable index corresponding to the argument for this operator; i.e. the row index in taylor corresponding to x. |
cap_order | maximum number of orders that will fit in the taylor array. |
tpv = (cap_order-1) * r + 1
which is the number of Taylor coefficients per variabletaylor | Input: taylor [ arg[1] * tpv + 0 ] is the zero order Taylor coefficient corresponding to x. Output: if p == 0 taylor [ i_z * tpv + 0 ] is the zero order Taylor coefficient corresponding to z. For k = max(p, 1), ... , q, taylor [ i_z * tpv + (k-1)*r + 1 + ell ] is the k-th order Taylor coefficient corresponding to z (which is zero). |
Definition at line 90 of file discrete_op.hpp.
Referenced by forward0sweep(), forward1sweep(), and forward2sweep().