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Reference documentation for deal.II version 9.6.0
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#include <deal.II/base/config.h>
#include <deal.II/base/symmetric_tensor.h>
#include <deal.II/base/tensor.h>
#include <deal.II/differentiation/sd/symengine_number_types.h>
#include <deal.II/differentiation/sd/symengine_scalar_operations.h>
#include <deal.II/differentiation/sd/symengine_types.h>
#include <utility>
#include <vector>
Go to the source code of this file.
Namespaces | |
namespace | Differentiation |
namespace | Differentiation::SD |
Functions | |
Symbolic variable creation | |
template<int dim> | |
Tensor< 1, dim, Expression > | Differentiation::SD::make_vector_of_symbols (const std::string &symbol) |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::make_tensor_of_symbols (const std::string &symbol) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::make_symmetric_tensor_of_symbols (const std::string &symbol) |
template<int dim> | |
Tensor< 1, dim, Expression > | Differentiation::SD::make_vector_of_symbolic_functions (const std::string &symbol, const types::substitution_map &arguments) |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::make_tensor_of_symbolic_functions (const std::string &symbol, const types::substitution_map &arguments) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::make_symmetric_tensor_of_symbolic_functions (const std::string &symbol, const types::substitution_map &arguments) |
Symbolic differentiation | |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::differentiate (const Expression &f, const Tensor< rank, dim, Expression > &T) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::differentiate (const Expression &f, const SymmetricTensor< rank, dim, Expression > &S) |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::differentiate (const Tensor< 0, dim, Expression > &f, const Tensor< rank, dim, Expression > &T) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::differentiate (const Tensor< 0, dim, Expression > &f, const SymmetricTensor< rank, dim, Expression > &S) |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::differentiate (const Tensor< rank, dim, Expression > &T, const Expression &x) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::differentiate (const SymmetricTensor< rank, dim, Expression > &S, const Expression &x) |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::differentiate (const Tensor< rank, dim, Expression > &T, const Tensor< 0, dim, Expression > &x) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::differentiate (const SymmetricTensor< rank, dim, Expression > &S, const Tensor< 0, dim, Expression > &x) |
template<int rank_1, int rank_2, int dim> | |
Tensor< rank_1+rank_2, dim, Expression > | Differentiation::SD::differentiate (const Tensor< rank_1, dim, Expression > &T1, const Tensor< rank_2, dim, Expression > &T2) |
template<int rank_1, int rank_2, int dim> | |
SymmetricTensor< rank_1+rank_2, dim, Expression > | Differentiation::SD::differentiate (const SymmetricTensor< rank_1, dim, Expression > &S1, const SymmetricTensor< rank_2, dim, Expression > &S2) |
template<int rank_1, int rank_2, int dim> | |
Tensor< rank_1+rank_2, dim, Expression > | Differentiation::SD::differentiate (const Tensor< rank_1, dim, Expression > &T, const SymmetricTensor< rank_2, dim, Expression > &S) |
template<int rank_1, int rank_2, int dim> | |
Tensor< rank_1+rank_2, dim, Expression > | Differentiation::SD::differentiate (const SymmetricTensor< rank_1, dim, Expression > &S, const Tensor< rank_2, dim, Expression > &T) |
Symbol map creation and manipulation | |
template<bool ignore_invalid_symbols = false, typename ValueType = double, int rank, int dim, typename SymbolicType > | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const Tensor< rank, dim, SymbolicType > &symbol_tensor) |
template<bool ignore_invalid_symbols = false, typename ValueType = double, int rank, int dim, typename SymbolicType > | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const SymmetricTensor< rank, dim, SymbolicType > &symbol_tensor) |
template<int rank, int dim, typename SymbolicType , typename ValueType > | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const Tensor< rank, dim, SymbolicType > &symbol_tensor, const Tensor< rank, dim, ValueType > &value_tensor) |
template<int rank, int dim, typename SymbolicType , typename ValueType > | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const SymmetricTensor< rank, dim, SymbolicType > &symbol_tensor, const SymmetricTensor< rank, dim, ValueType > &value_tensor) |
Symbol substitution map creation | |
template<int rank, int dim, typename ExpressionType , typename ValueType > | |
types::substitution_map | Differentiation::SD::make_substitution_map (const Tensor< rank, dim, ExpressionType > &symbol_tensor, const Tensor< rank, dim, ValueType > &value_tensor) |
template<int rank, int dim, typename ExpressionType , typename ValueType > | |
types::substitution_map | Differentiation::SD::make_substitution_map (const SymmetricTensor< rank, dim, ExpressionType > &symbol_tensor, const SymmetricTensor< rank, dim, ValueType > &value_tensor) |
Symbol substitution map enlargement | |
template<bool ignore_invalid_symbols = false, int rank, int dim, typename ExpressionType , typename ValueType > | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const Tensor< rank, dim, ExpressionType > &symbol_tensor, const Tensor< rank, dim, ValueType > &value_tensor) |
template<bool ignore_invalid_symbols = false, int rank, int dim, typename ExpressionType , typename ValueType > | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const SymmetricTensor< rank, dim, ExpressionType > &symbol_tensor, const SymmetricTensor< rank, dim, ValueType > &value_tensor) |
Symbol substitution and evaluation | |
template<int rank, int dim> | |
Tensor< rank, dim, Expression > | Differentiation::SD::substitute (const Tensor< rank, dim, Expression > &expression_tensor, const types::substitution_map &substitution_map) |
template<int rank, int dim> | |
SymmetricTensor< rank, dim, Expression > | Differentiation::SD::substitute (const SymmetricTensor< rank, dim, Expression > &expression_tensor, const types::substitution_map &substitution_map) |
template<typename ValueType , int rank, int dim> | |
Tensor< rank, dim, ValueType > | Differentiation::SD::substitute_and_evaluate (const Tensor< rank, dim, Expression > &expression_tensor, const types::substitution_map &substitution_map) |
template<typename ValueType , int rank, int dim> | |
SymmetricTensor< rank, dim, ValueType > | Differentiation::SD::substitute_and_evaluate (const SymmetricTensor< rank, dim, Expression > &expression_tensor, const types::substitution_map &substitution_map) |