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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/numbers.h>
#include <deal.II/differentiation/sd/symengine_number_types.h>
#include <deal.II/differentiation/sd/symengine_types.h>
#include <symengine/basic.h>
#include <symengine/symengine_rcp.h>
#include <algorithm>
#include <type_traits>
#include <utility>
#include <vector>
Go to the source code of this file.
Namespaces | |
namespace | Differentiation |
namespace | Differentiation::SD |
namespace | Differentiation::SD::internal |
Functions | |
bool | Differentiation::SD::internal::is_valid_substitution_symbol (const SymEngine::Basic &entry) |
void | Differentiation::SD::internal::set_value_in_symbol_map (types::substitution_map &substitution_map, const SymEngine::RCP< const SymEngine::Basic > &symbol, const SymEngine::RCP< const SymEngine::Basic > &value) |
template<bool ignore_invalid_symbols = false> | |
void | Differentiation::SD::internal::add_to_substitution_map (types::substitution_map &substitution_map, const SymEngine::RCP< const SymEngine::Basic > &symbol, const SymEngine::RCP< const SymEngine::Basic > &value) |
Symbolic variable creation | |
Expression | Differentiation::SD::make_symbol (const std::string &symbol) |
Expression | Differentiation::SD::make_symbolic_function (const std::string &symbol, const types::symbol_vector &arguments) |
Expression | Differentiation::SD::make_symbolic_function (const std::string &symbol, const types::substitution_map &arguments) |
Symbolic differentiation | |
Expression | Differentiation::SD::differentiate (const Expression &f, const Expression &x) |
Symbol map creation and manipulation | |
template<bool ignore_invalid_symbols = false, typename ValueType = double, typename SymbolicType > | |
types::substitution_map | Differentiation::SD::make_symbol_map (const SymbolicType &symbol) |
template<bool ignore_invalid_symbols = false, typename ValueType = double, typename SymbolicType , typename... Args> | |
types::substitution_map | Differentiation::SD::make_symbol_map (const SymbolicType &symbol, const Args &...other_symbols) |
template<bool ignore_invalid_symbols = false, typename ValueType = double> | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const Expression &symbol) |
template<bool ignore_invalid_symbols = false, typename ValueType = double, typename SymbolicType , typename T = std::enable_if_t< !std::is_base_of_v<Expression, SymbolicType> && ::internal::is_explicitly_convertible< SymbolicType, const SymEngine::RCP<const SymEngine::Basic> &>::value>> | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const SymbolicType &symbol) |
template<bool ignore_invalid_symbols = false, typename ValueType = double, typename SymbolicType > | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const std::vector< SymbolicType > &symbols) |
template<bool ignore_invalid_symbols = false, typename ValueType = double> | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const types::substitution_map &other_symbols) |
template<bool ignore_invalid_symbols = false, typename ValueType = double, typename SymbolicType , typename... Args> | |
void | Differentiation::SD::add_to_symbol_map (types::substitution_map &symbol_map, const SymbolicType &symbol, const Args &...other_symbols) |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const Expression &symbol, const Expression &value) |
template<typename SymbolicType , typename ValueType , typename T = std::enable_if_t< ::internal::is_explicitly_convertible< SymbolicType, const SymEngine::RCP<const SymEngine::Basic> &>::value && std::is_constructible_v<SymbolicType, ValueType>>> | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const SymbolicType &symbol, const ValueType &value) |
template<typename SymbolicType , typename ValueType > | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const std::vector< SymbolicType > &symbols, const std::vector< ValueType > &values) |
template<typename SymbolicType , typename ValueType > | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const std::pair< SymbolicType, ValueType > &symbol_value) |
template<typename SymbolicType , typename ValueType , typename... Args> | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const std::pair< SymbolicType, ValueType > &symbol_value, const Args &...other_symbol_values) |
template<typename SymbolicType , typename ValueType > | |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const std::vector< std::pair< SymbolicType, ValueType > > &symbol_values) |
void | Differentiation::SD::set_value_in_symbol_map (types::substitution_map &substitution_map, const types::substitution_map &symbol_values) |
Symbol substitution map creation | |
types::substitution_map | Differentiation::SD::make_substitution_map (const Expression &symbol, const Expression &value) |
template<typename ExpressionType , typename ValueType , typename T = std::enable_if_t< ::internal::is_explicitly_convertible< ExpressionType, const SymEngine::RCP<const SymEngine::Basic> &>::value && std::is_constructible_v<ExpressionType, ValueType>>> | |
types::substitution_map | Differentiation::SD::make_substitution_map (const ExpressionType &symbol, const ValueType &value) |
template<typename ExpressionType , typename ValueType > | |
types::substitution_map | Differentiation::SD::make_substitution_map (const std::vector< ExpressionType > &symbols, const std::vector< ValueType > &values) |
template<typename ExpressionType , typename ValueType > | |
types::substitution_map | Differentiation::SD::make_substitution_map (const std::pair< ExpressionType, ValueType > &symbol_value) |
template<typename ExpressionType , typename ValueType > | |
types::substitution_map | Differentiation::SD::make_substitution_map (const std::vector< std::pair< ExpressionType, ValueType > > &symbol_values) |
template<typename ExpressionType , typename ValueType , typename... Args> | |
types::substitution_map | Differentiation::SD::make_substitution_map (const std::pair< ExpressionType, ValueType > &symbol_value, const Args &...other_symbol_values) |
Symbol substitution map enlargement | |
template<bool ignore_invalid_symbols = false> | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const Expression &symbol, const Expression &value) |
template<bool ignore_invalid_symbols = false, typename ExpressionType , typename ValueType , typename = std::enable_if_t< ::internal::is_explicitly_convertible< ExpressionType, const SymEngine::RCP<const SymEngine::Basic> &>::value && std::is_constructible_v<ExpressionType, ValueType>>> | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const ExpressionType &symbol, const ValueType &value) |
template<bool ignore_invalid_symbols = false, typename ExpressionType , typename ValueType , typename = std::enable_if_t< ::internal::is_explicitly_convertible< ExpressionType, const SymEngine::RCP<const SymEngine::Basic> &>::value && std::is_constructible_v<ExpressionType, ValueType>>> | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const std::vector< ExpressionType > &symbols, const std::vector< ValueType > &values) |
template<bool ignore_invalid_symbols = false> | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const types::substitution_map &symbol_values) |
template<bool ignore_invalid_symbols = false, typename ExpressionType , typename ValueType > | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const std::pair< ExpressionType, ValueType > &symbol_value) |
template<bool ignore_invalid_symbols = false, typename ExpressionType , typename ValueType > | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const std::vector< std::pair< ExpressionType, ValueType > > &symbol_values) |
template<bool ignore_invalid_symbols = false, typename ExpressionType , typename ValueType , typename... Args> | |
void | Differentiation::SD::add_to_substitution_map (types::substitution_map &substitution_map, const std::pair< ExpressionType, ValueType > &symbol_value, const Args &...other_symbol_values) |
void | Differentiation::SD::merge_substitution_maps (types::substitution_map &substitution_map_out, const types::substitution_map &substitution_map_in) |
template<typename... Args> | |
void | Differentiation::SD::merge_substitution_maps (types::substitution_map &substitution_map_out, const types::substitution_map &substitution_map_in, const Args &...other_substitution_maps_in) |
template<typename... Args> | |
types::substitution_map | Differentiation::SD::merge_substitution_maps (const types::substitution_map &substitution_map_in, const Args &...other_substitution_maps_in) |
Symbol substitution and evaluation | |
types::substitution_map | Differentiation::SD::resolve_explicit_dependencies (const types::substitution_map &substitution_map, const bool force_cyclic_dependency_resolution=false) |
template<typename ExpressionType , typename ValueType > | |
types::substitution_map | Differentiation::SD::resolve_explicit_dependencies (const std::vector< std::pair< ExpressionType, ValueType > > &symbol_values, const bool force_cyclic_dependency_resolution=false) |
Expression | Differentiation::SD::substitute (const Expression &expression, const types::substitution_map &substitution_map) |
template<typename ValueType > | |
Expression | Differentiation::SD::substitute (const Expression &expression, const Expression &symbol, const ValueType &value) |
template<typename ExpressionType , typename... Args> | |
ExpressionType | Differentiation::SD::substitute (const ExpressionType &expression, const Args &...symbol_values) |
template<typename ValueType > | |
ValueType | Differentiation::SD::substitute_and_evaluate (const Expression &expression, const types::substitution_map &substitution_map) |
template<typename ValueType , typename... Args> | |
ValueType | Differentiation::SD::substitute_and_evaluate (const Expression &expression, const Args &...symbol_values) |