* a situation the resolve_explicit_dependencies() function may be useful
* to simplify the final substitution map by resolving all explicit
* interdependencies between entries in the substitution map.
+ *
+ * @tparam ExpressionType A type that represents a symbolic expression.
+ * The Differentiation::SD::Expression class is often suitable for
+ * this purpose, although if the @p ValueType is not supported
+ * by this class then a user-defined @p ExpressionType should be
+ * used.
+ * @tparam ValueType A type that corresponds to the @p value that the
+ * @p symbol is to represent. Although it is typically
+ * arithmetic in nature, it may also represent another symbolic
+ * expression type or be a special type that a user-defined
+ * @p ExpressionType can be constructed from.
+ * @tparam T An arbitrary type resulting from the application of
+ * the SFINAE idiom to selectively specialize this class.
+ * The required condition is fulfilled when the @p ExpressionType
+ * can be explicitly converted to a
+ * `const SymEngine::RCP<const SymEngine::Basic> &`, and it is
+ * possible to construct an @p ExpressionType directly from the
+ * @p ValueType.
*/
- template <typename ExpressionType = SD::Expression,
+ template <typename ExpressionType,
typename ValueType,
- typename = typename std::enable_if<
+ typename T = typename std::enable_if<
dealii::internal::is_explicitly_convertible<
ExpressionType,
const SymEngine::RCP<const SymEngine::Basic> &>::value &&
* using this function. For more details on this, see the other
* @ref make_substitution_map(const Expression &,const ValueType &)
* function.
+ *
+ * @tparam ExpressionType A type that represents a symbolic expression.
+ * The Differentiation::SD::Expression class is often suitable for
+ * this purpose, although if the @p ValueType is not supported
+ * by this class then a user-defined @p ExpressionType should be
+ * used.
+ * @tparam ValueType A type that corresponds to the @p value that the
+ * @p symbol is to represent. Although it is typically
+ * arithmetic in nature, it may also represent another symbolic
+ * expression type or be a special type that a user-defined
+ * @p ExpressionType can be constructed from.
*/
- template <typename ExpressionType = SD::Expression, typename ValueType>
+ template <typename ExpressionType, typename ValueType>
types::substitution_map
make_substitution_map(const std::vector<ExpressionType> &symbols,
const std::vector<ValueType> & values);
* using this function. For more details on this, see the other
* @ref make_substitution_map(const Expression &,const ValueType &)
* function.
+ *
+ * @tparam ExpressionType A type that represents a symbolic expression.
+ * The Differentiation::SD::Expression class is often suitable for
+ * this purpose, although if the @p ValueType is not supported
+ * by this class then a user-defined @p ExpressionType should be
+ * used.
+ * @tparam ValueType A type that corresponds to the @p value that the
+ * @p symbol is to represent. Although it is typically
+ * arithmetic in nature, it may also represent another symbolic
+ * expression type or be a special type that a user-defined
+ * @p ExpressionType can be constructed from.
*/
- template <typename ExpressionType = SD::Expression, typename ValueType>
+ template <typename ExpressionType, typename ValueType>
types::substitution_map
make_substitution_map(
const std::pair<ExpressionType, ValueType> &symbol_value);
* using this function. For more details on this, see the other
* @ref make_substitution_map(const Expression &,const ValueType &)
* function.
+ *
+ * @tparam ExpressionType A type that represents a symbolic expression.
+ * The Differentiation::SD::Expression class is often suitable for
+ * this purpose, although if the @p ValueType is not supported
+ * by this class then a user-defined @p ExpressionType should be
+ * used.
+ * @tparam ValueType A type that corresponds to the @p value that the
+ * @p symbol is to represent. Although it is typically
+ * arithmetic in nature, it may also represent another symbolic
+ * expression type or be a special type that a user-defined
+ * @p ExpressionType can be constructed from.
*/
- template <typename ExpressionType = SD::Expression, typename ValueType>
+ template <typename ExpressionType, typename ValueType>
types::substitution_map
make_substitution_map(
const std::vector<std::pair<ExpressionType, ValueType>> &symbol_values);
* @ref add_to_substitution_map(types::substitution_map &,const
* Expression &,const Expression &) function for a detailed
* discussion on the role of this template argument.
+ *
+ * @tparam ExpressionType A type that represents a symbolic expression.
+ * The Differentiation::SD::Expression class is often suitable for
+ * this purpose, although if the @p ValueType is not supported
+ * by this class then a user-defined @p ExpressionType should be
+ * used.
+ * @tparam ValueType A type that corresponds to the @p value that the
+ * @p symbol is to represent. Although it is typically
+ * arithmetic in nature, it may also represent another symbolic
+ * expression type or be a special type that a user-defined
+ * @p ExpressionType can be constructed from.
*/
template <bool ignore_invalid_symbols = false,
- typename ExpressionType = SD::Expression,
+ typename ExpressionType,
typename ValueType,
typename = typename std::enable_if<
dealii::internal::is_explicitly_convertible<
* @ref add_to_substitution_map(types::substitution_map &,const
* Expression &,const Expression &) function for a detailed
* discussion on the role of this template argument.
+ *
+ * @tparam ExpressionType A type that represents a symbolic expression.
+ * The Differentiation::SD::Expression class is often suitable for
+ * this purpose, although if the @p ValueType is not supported
+ * by this class then a user-defined @p ExpressionType should be
+ * used.
+ * @tparam ValueType A type that corresponds to the @p value that the
+ * @p symbol is to represent. Although it is typically
+ * arithmetic in nature, it may also represent another symbolic
+ * expression type or be a special type that a user-defined
+ * @p ExpressionType can be constructed from.
*/
template <bool ignore_invalid_symbols = false,
- typename ExpressionType = SD::Expression,
+ typename ExpressionType,
typename ValueType,
typename = typename std::enable_if<
dealii::internal::is_explicitly_convertible<