CppAD: A C++ Algorithmic Differentiation Package
20171217
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inline |
Compute forward mode Taylor coefficients for result of op = MulpvOp.
The C++ source code corresponding to this operation is
z = x * y
In the documentation below, this operations is for the case where x is a parameter and y is a variable.
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 coefficient that we are computing. |
q | highest order of the Taylor coefficient that we are computing. |
i_z | variable index corresponding to the result for this operation; i.e. the row index in taylor corresponding to z. |
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 + k ] , for k = 0 , ... , q, is the k-th order Taylor coefficient corresponding to x. Input: If y is a variable, taylor [ arg[1] * cap_order + k ] , for k = 0 , ... , q, is the k-th order Taylor coefficient corresponding to y. Input: taylor [ i_z * cap_order + k ] , for k = 0 , ... , p-1, is the k-th order Taylor coefficient corresponding to z. Output: taylor [ i_z * cap_order + k ] , for k = p, ... , q, is the k-th order Taylor coefficient corresponding to z. |
Definition at line 211 of file mul_op.hpp.
Referenced by forward1sweep(), forward_erf_op(), forward_powpv_op(), and forward_powvp_op().