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template<class Base >
void forward_atan_op |
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size_t |
j, |
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size_t |
i_z, |
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size_t |
i_x, |
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size_t |
nc_taylor, |
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Base * |
taylor |
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Forward mode Taylor coefficient for result of op = AtanOp.
The C++ source code corresponding to this operation is
The auxillary result is
The value of y, and its derivatives, are computed along with the value and derivatives of z.
- Template Parameters:
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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. |
- Parameters:
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j | 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 result is called y has index i_z - 1. |
i_x | variable index corresponding to the argument for this operator; i.e. the row index in taylor corresponding to x. |
nc_taylor | number of colums in the matrix containing all the Taylor coefficients. |
taylor | Input: taylor [ i_x * nc_taylor + k ] for k = 0 , ... , j is the k-th order Taylor coefficient corresponding to x.
Input: taylor [ i_z * nc_taylor + k ] for k = 0 , ... , j - 1 is the k-th order Taylor coefficient corresponding to z.
Input: taylor [ ( i_z - 1) * nc_taylor + k ] for k = 0 , ... , j - 1 is the k-th order Taylor coefficient corresponding to the auxillary result y.
Output: taylor [ i_z * nc_taylor + j ] is the j-th order Taylor coefficient corresponding to z.
Output: taylor [ ( i_z - 1 ) * nc_taylor + j ] is the j-th order Taylor coefficient corresponding to the autillary result y. |
- Checked Assertions
- NumArg(op) == 1
- NumRes(op) == 2
- i_x + 1 < i_z
- j < nc_taylor
Definition at line 41 of file atan_op.hpp.
Referenced by forward_sweep().
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