CppAD: A C++ Algorithmic Differentiation Package
20171217
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Shared documentation for sparsity operations corresponding to op = LdpOp or LdvOp (not called).
The C++ source code corresponding to this operation is
v[x] = y
where v is a VecAD<Base> vector, x is an AD<Base> object, and y is AD<Base> or Base objects. We define the index corresponding to v[x] by
i_v_x = index_by_ind[ arg[0] + i_vec ]
where i_vec is defined under the heading arg[1] below:
Vector_set | is the type used for vectors of sets. It can be either sparse_pack or sparse_list. |
op | is the code corresponding to this operator; i.e., LdpOp or LdvOp. |
i_z | is the AD variable index corresponding to the variable z; i.e., the set with index i_z in var_sparsity is the sparsity pattern correpsonding to z. |
arg | arg[0] is the offset corresponding to this VecAD vector in the VecAD combined array. |
num_combined | is the total number of elements in the VecAD combinded array. |
combined | is the VecAD combined array. combined[ arg[0] - 1 ] is the index of the set corresponding to the vector v in vecad_sparsity. We use the notation i_v for this value; i.e., i_v = combined[ \a arg[0] - 1 ] |
var_sparsity | The set with index i_z in var_sparsity is the sparsity pattern for z. This is an output for forward mode operations, and an input for reverse mode operations. |
vecad_sparsity | The set with index i_v is the sparsity pattern for the vector v. This is an input for forward mode operations. For reverse mode operations, the sparsity pattern for z is added to the sparsity pattern for v. |
Definition at line 227 of file load_op.hpp.