expressionscamp.inl

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//==================================================================================================
/// \file
/// This header-file is part of module \alib_expressions of the \aliblong.
///
/// \emoji :copyright: 2013-2025 A-Worx GmbH, Germany.
/// Published under #"mainpage_license".
//==================================================================================================
ALIB_EXPORT namespace alib {  namespace expressions {
struct Scope;
 
//==================================================================================================
/// Exceptions thrown by module \alib_expressions_nl.
///
/// \note
///   This enum type is associated with #"alib_enums_records;ALib Enum Records" according to
///   the specification documented with class #"exc Exception".
//==================================================================================================
enum class Exceptions
{
    /// General error thrown by the parser.
    SyntaxError                             =1 ,
 
    /// Detail entry (negative element value) used with various exceptions. Shows the expression
    /// in a first line and a marker of the syntax error position in a second.
    ExpressionInfo                          = -1,
 
    /// This is added to exceptions when a \c std::exception is wrapped.
    /// The 'what()' string is included as entry parameter.
    /// (This is a detail entry with negative element value).
    StdExceptionInfo                        =-2,
 
    /// Thrown when an empty string is tried to be compiled.
    EmptyExpressionString                   =2,
 
    /// Syntax error with concrete information about what the parser expected at given position.
    SyntaxErrorExpectation                  =5,
 
    /// Unknown unary operator symbol found when parsing expression string.
    UnknownUnaryOperatorSymbol              =6,
 
    /// Unknown binary operator symbol found when parsing expression string.
    UnknownBinaryOperatorSymbol             =7,
 
    /// Compile-time exception thrown when an expression uses an unknown identifier name.
    UnknownIdentifier                       =14,
 
    /// Compile-time exception thrown when an expression uses an unknown function name.
    UnknownFunction                         =15,
 
    /// Optional info entry (negative element value) on a function with matching name but
    /// non-matching arguments found.
    FunctionHint                            =-15,
 
    /// Compile-time exception thrown when an unary operator is not applicable to the given
    /// argument type.
    UnaryOperatorNotDefined                 =16,
 
    /// Compile-time exception thrown when a binary operator is not applicable to the combination of
    /// left-hand and right-and argument type.
    BinaryOperatorNotDefined                =17,
 
    /// Compile-time exception thrown when function parentheses are missing with parameterless
    /// functions, while flag
    /// #"Compilation::AllowOmittingParenthesesOfParameterlessFunctions" is not set
    /// in #"Compiler::CfgCompilation;*".
    MissingFunctionParentheses              =22,
 
    /// Compile-time exception thrown when empty function parentheses are given with identifiers
    /// (parameterless functions), while flag
    /// #"Compilation::AllowEmptyParenthesesForIdentifierFunctions" is not set
    /// in #"Compiler::CfgCompilation;*".
    IdentifierWithFunctionParentheses       =23,
 
    /// Compile-time exception thrown when incompatible types are given with conditional
    /// term <c>Q ? T : F</c>. Note that before throwing this exception, the compiler tries to
    /// insert auto-cast callback functions, and if found, performs one second try to compile
    /// the operator for the new pair of operatnd types.
    IncompatibleTypesInConditional          =25,
 
 
    /// This is a "wrapper" exception thrown when a plug-in or a compile-time invoked callback
    /// function throws an exception of type \c std::exception or of type
    /// #"exc Exception" with a code that is not of this enumeration type.<br>
    /// Used only if compilation #"Compilation::PluginExceptionFallThrough;*"
    /// is not set.
    ExceptionInPlugin                       =30,
 
    /// This is a "wrapper" exception thrown when callback functions throws an exception of type
    /// \c std::exception or of type #"exc Exception".
    /// Used only if compilation #"Compilation::CallbackExceptionFallThrough;*"
    /// is not set.
    ExceptionInCallback                     =40,
 
  //####################################### Nested expressions #####################################
 
    /// Compile-time exception thrown when unary expression operator is used with a non-constant
    /// nested expression name.
    NamedExpressionNotConstant              =50,
 
    /// Compile-time exception thrown when an expression refers to an unknown named nested expression.
    NamedExpressionNotFound                 =51,
 
    /// Compile-time exception thrown when a named nested expression which is searched an inserted
    /// at compile-time could not be found.<br>
    /// Overwrites exception \b %NamedExpressionNotFound.
    ///
    /// \see Manual chapter #"alib_expressions_nested".
    NestedExpressionNotFoundCT              =52,
 
    /// Compile-time exception thrown when wrong arguments were passed to function
    /// #"Compiler::CfgNestedExpressionFunction;*".
    ///
    /// \see Manual chapter #"alib_expressions_nested".
    NestedExpressionCallArgumentMismatch     =53,
 
    /// Evaluation-time exception thrown when a named nested expression which is searched only at
    /// evaluation-time could not be found.<br>
    /// Overwrites exception \b %NamedExpressionNotFound.
    /// \see Manual chapter #"alib_expressions_nested".
    NestedExpressionNotFoundET              =54,
 
    /// Informational exception entry (negative element value) providing the name of the expression
    /// that caused any other exception than \c NamedExpressionNotFound during evaluation of a
    /// nested expression.
    ///
    /// Note that entries of this type might be repeated when expressions are recursively nested.
    /// The number of entries in the exception corresponds to the depth of nesting.
    WhenEvaluatingNestedExpression          =-54,
 
    /// Evaluation-time exception thrown when a named nested expression which was searched and found
    /// only at evaluation-time, returned a different result type than specified.<br>
    ///
    /// \see Manual chapter #"alib_expressions_nested".
    NestedExpressionResultTypeError         = 55,
 
    /// Evaluation-time exception thrown when a circular relationship of nested expressions
    /// is detected, which comprises an infinite loop.
    CircularNestedExpressions               = 56,
 
    /// A list of informational entries of this type is given with exception
    /// \b %CircularNestedExpressions. Each entry provides the name of the expression that
    /// was evaluated and the name of the nested expression that it called. Hence, the list of
    /// entries of this type comprise the "call stack" that leaded to the circular call that
    /// caused the exception.
    CircularNestedExpressionsInfo           =-56,
 
 
    /// This is an extension entry added to exceptions that occur with compilation or evaluation
    /// of expressions by class #"util::ExpressionFormatter;*".
    InExpressionFormatter                   =-500
};
 
//==================================================================================================
/// #"ArithmeticalTraits;Arithmetical enumeration" of slots used to prioritize
/// #"CompilerPlugin" instances attached to instances of class
/// #"Compiler" at run-time.
//==================================================================================================
enum class CompilePriorities
{
    /// Used to denote that no variable or plug-in was found.
    NONE                    = 0,
 
    /// Built-in operator <c>?:</c> (like conditional, but no 'true'-expression).
    /// \see #"plugins::ElvisOperator;*"
    ElvisOperator           = 100,
 
    /// Auto-cast plug-in.
    AutoCast                = 200,
 
    /// Built-in String comparison and manipulation.
    Strings                 = 300,
 
 
    /// Collection of built-in unary and binary operators for boolean, integer and floating point values.
    Arithmetics             = 400,
 
    /// Collection of built-in unary and binary operators for boolean, integer and floating point values.
    Math                    = 500,
 
    /// Collection of date and time functions based on #"alib::time".
    DateAndTime             = 600,
 
    /// This is where custom plug-ins usually should be placed. It gives them a higher priority
    /// than all built-in plug-ins have.<br>
    /// If more than one plug-in should be installed, add 1, 2, ... to the enum element.
    Custom                  = 1000,
};
 
//==================================================================================================
/// This struct holds static #"alib_expressions_prereq_sb;sample values" for
/// the built-in supported types of module \alib_expressions_nl.
///
/// These boxes are mainly used by built-in compiler plug-ins to denote the corresponding type.
/// Customized plug-ins are proposed to use these boxes to denote internal types as well and
/// besides that to define static sample boxes for each custom type that they introduce in a
/// similar fashion.
///
/// \note
///   Of course, just sample any value might be passed where a type is expected, but using these
///   pre-defined objects is more efficient in respect to code size. In respect to execution
///   performance, the sample values are rather irrelevant, as those are used almost exclusively
///   at expression compile-time.
//==================================================================================================
struct Types
{
    /// Sample <em>type-box</em> for C++ type <c>void</c>.
    static ALIB_DLL Box Void;
 
    /// Sample <em>type-box</em> for C++ type <c>bool</c>.
    static ALIB_DLL Box Boolean;
 
    /// Sample <em>type-box</em> for integer types. (Precisely for type #"lang::integer".)
    static ALIB_DLL Box Integer;
 
    /// Sample <em>type-box</em> for C++ type <c>double</c>.
    static ALIB_DLL Box Float;
 
    /// Sample <em>type-box</em> for string types. While internally, \alib class
    /// #"TString;String" is used, due to the magic of module \alib_boxing, almost
    /// any custom string type is compatible, including of course \c std::string.
    static ALIB_DLL Box String;
 
    /// Sample <em>type-box</em> for date and time values of type #"time::DateTime").
    static ALIB_DLL Box DateTime;
 
    /// Sample <em>type-box</em> for values of type #"^DateTime::Duration" (which
    /// class \b DateTime inherits from its base).
    static ALIB_DLL Box Duration;
};
 
//==================================================================================================
/// This struct holds static arrays of pointers to #"alib_expressions_prereq_sb;sample values".
/// The arrays are used with helper-class #"plugins::Calculus" to denote accepted
/// "function signatures" when* initializing column
/// #"FunctionEntry::Signature"
/// of table #"Calculus::Functions".
///
/// Each static field of this class represents a permutation of function arguments. Note, that only
/// those permutations which are needed and used by the built-in compiler plugins (
/// #"plugins::Arithmetics",
/// #"plugins::Math",
/// #"plugins::Strings" and
/// #"plugins::DateAndTime" ) are contained here.
///
/// Custom compiler plug-ins may use the argument signatures given here, if a fitting signature
/// is already included. Otherwise a custom signature array has to be defined, initialized and
/// provided to the function definition table.
//==================================================================================================
struct Signatures
{
    static ALIB_DLL Box*  Var [1];  ///< Function accepts variadic arguments.
    static ALIB_DLL Box*  B   [1];  ///< Function accepts one boolean argument.
    static ALIB_DLL Box*  BB  [2];  ///< Function accepts two boolean arguments.
    static ALIB_DLL Box*  I   [1];  ///< Function accepts one integral argument.
    static ALIB_DLL Box*  II  [2];  ///< Function accepts two integral arguments.
    static ALIB_DLL Box*  IVar[2];  ///< Function accepts one integral argument, followed by variadic arguments.
    static ALIB_DLL Box*  F   [1];  ///< Function accepts one floating point argument.
    static ALIB_DLL Box*  FF  [2];  ///< Function accepts two floating point arguments.
    static ALIB_DLL Box*  S   [1];  ///< Function accepts one string argument.
    static ALIB_DLL Box*  SVar[2];  ///< Function accepts one string argument, followed by variadic arguments.
    static ALIB_DLL Box*  SS  [2];  ///< Function accepts two string arguments.
    static ALIB_DLL Box*  SI  [2];  ///< Function accepts one string argument, followed by an integral argument.
    static ALIB_DLL Box*  SSB [3];  ///< Function accepts two string arguments, followed by a boolean argument.
    static ALIB_DLL Box*  SSI [3];  ///< Function accepts two string arguments, followed by an integral argument.
    static ALIB_DLL Box*  SII [3];  ///< Function accepts one string argument, followed by two integral arguments.
    static ALIB_DLL Box*  SSS [3];  ///< Function accepts three string arguments.
#if ALIB_CAMP
    static ALIB_DLL Box*  D   [1];  ///< Function accepts a #"time::DateTime" argument.
    static ALIB_DLL Box*  Dur [1];  ///< Function accepts a #"TimePointBase::Duration" argument.
    static ALIB_DLL Box*  DDur[2];  ///< Function accepts a #"time::DateTime" argument; followed by a #"TimePointBase::Duration".
#endif
};
 
 
//==================================================================================================
/// This enumeration lists the built-in unary operators.
/// The associated #"alib_enums_records;ALib Enum Records" provides the operator symbols.
//==================================================================================================
enum class DefaultUnaryOperators
{
    NONE            ,  ///< Not an operator.
 
    Positive        ,  ///< <c>'+'</c> operator (usually returns identity value).
    Negative        ,  ///< <c>'-'</c> operator, negates a value.
 
    BoolNot         ,  ///< Boolean not (<c>'!'</c>).
    BitNot          ,  ///< Bitwise not (<c>'~'</c>).
 
    Indirection     ,  ///< Unary <c>'*'</c> operator. Similar to the C++ indirection operator, this
                       ///< is the default operator uses with nested expressions, which is defined
                       ///< with #"Compiler::CfgNestedExpressionOperator;*".
};
 
//==================================================================================================
/// This enumeration lists the built-in binary operators.
/// The associated #"alib_enums_records;ALib Enum RecordS" of type
/// #"ERBinaryOperator" provides an operator's symbol an its precedence.
//==================================================================================================
enum class DefaultBinaryOperators
{
    NONE            ,  ///< Not an operator.
    Subscript       ,  ///< Array subscripting (<c>'[]'</c>). Precedence hardcoded with parser.
 
    Multiply        ,  ///< Arithmetic multiplication (<c>'*'</c>). Precedence \c 900.
    Divide          ,  ///< Arithmetic division (<c>'/'</c>). Precedence \c 900.
    Modulo          ,  ///< Arithmetic modulo (<c>'%%'</c>). Precedence \c 900.
 
    Add             ,  ///< Arithmetic addition (<c>'+'</c>). Precedence \c 800.
    Subtract        ,  ///< Arithmetic subtraction (<c>'-'</c>). Precedence \c 800.
 
    ShiftLeft       ,  ///< Bitwise shifting of integral values (<c>'<<'</c>). Precedence \c 700.
    ShiftRight      ,  ///< Bitwise shifting of integral values (<c>'>>'</c>). Precedence \c 700.
 
    Smaller         ,  ///< Smaller operator (<c>'<'</c>). Precedence \c 600.
    SmallerOrEqual  ,  ///< Smaller or equal operator (<c>'<='</c>). Precedence \c 600.
    Greater         ,  ///< Greater operator (<c>'>'</c>). Precedence \c 600.
    GreaterOrEqual  ,  ///< Greater or equal operator (<c>'>='</c>). Precedence \c 600.
 
    Equal           ,  ///< Equal operator (<c>'=='</c>). Precedence \c 500.
    NotEqual        ,  ///< Not equal operator (<c>'!='</c>). Precedence \c 500.
 
    BitAnd          ,  ///< Binary and (<c>'&'</c>). "and"s all bits of two integral values. Precedence \c 470.
    BitXOr          ,  ///< Binary xor (<c>'^'</c>). "xor"s all bits of two integral values. Precedence \c 460.
    BitOr           ,  ///< Binary or  (<c>'|'</c>). "or"s all bits of two integral values. Precedence \c 450.
    BoolAnd         ,  ///< Boolean and (<c>'&&'</c>). Result is boolean. Precedence \c 440.
    BoolOr          ,  ///< Boolean or (<c>'||'</c>). Result is boolean. Precedence \c 430.
 
    Assign          ,  ///< Assignment. By default, this is used as alias operator for
                       ///< operator \b Equal by the built-in compiler plug-ins.
                       ///< See #"Compilation::AliasEqualsOperatorWithAssignOperator"
                       ///< for more information.<br>
                       ///< Precedence \c 300.
 
 
    Elvis            , ///< Binary version of ternary operator <c>Q ? T : F</c> with
                       ///< second operand (\c T) not given.
                       ///< Whitespaces are allowed between '?' and ':'.<br>
                       ///< Precedence \c 200.
};
 
//==================================================================================================
/// #"alib_enums_records;ALib Enum Record" associated with enumeration
/// #"expressions::DefaultBinaryOperators".
//==================================================================================================
struct ERBinaryOperator
{
    /// The parable symbol of an operator.
    String      Symbol;
 
    /// The precedence of an operator in respect to other binary operators.
    int         Precedence;
 
    /// Required default constructor leaving the record undefined.
    /// (Requirement is documented with  "EnumRecordPrototype".)
    ERBinaryOperator()                                                            noexcept =default;
 
    /// Required initializing constructor.
    /// (Requirement is documented with #"EnumRecordPrototype".)
    ///
    /// @param symbol      The parsable operator symbol.
    /// @param precedence  The operator's precedence.
    ERBinaryOperator( const String& symbol, int precedence )
    : Symbol    (symbol)
    , Precedence(precedence)                                                                      {}
 
    /// Implementation of #"EnumRecordPrototype::Parse;*".
    ALIB_DLL
    void Parse();
};
 
 
//==================================================================================================
/// This enumeration lists the built-in verbal alias names for unary operators.
///
/// The associated #"alib_enums_records;ALib Enum Records" provides the operator verbs
/// as well as the replacement operator.
///
/// Flag #"Compilation::DefaultAlphabeticOperatorAliases;*" controls if method
/// #"Compiler::SetupDefaults;*" adds the aliases to the compiler.
//==================================================================================================
enum class DefaultAlphabeticUnaryOperatorAliases
{
    Not             , ///< Verbal alias \c "Not" to operator <c>'!'</c>.
};
 
//==================================================================================================
/// This enumeration lists the built-in verbal alias names for binary operators.
///
/// The associated #"alib_enums_records;ALib Enum Records" provides the operator verbs
/// as well as the replacement operator.
///
/// Flag #"Compilation::DefaultAlphabeticOperatorAliases;*" controls if method
/// #"Compiler::SetupDefaults;*" adds the aliases to the compiler.
//==================================================================================================
enum class DefaultAlphabeticBinaryOperatorAliases
{
    And             ,  ///< Verbal alias \c "And" to boolean and operator <c>'&&'</c>.
    Or              ,  ///< Verbal alias \c "Or" to boolean or operator <c>'||'</c>.
    Sm              ,  ///< Verbal alias \c "Sm" to operator <c>'<'</c>.
    Smaller         ,  ///< Verbal alias \c "Smaller" to operator <c>'<'</c>.
    SmEq            ,  ///< Verbal alias \c "Smeq" to operator <c>'<='</c>.
    SmallerOrEqual  ,  ///< Verbal alias \c "Smaller_or_equal" to operator <c>'<='</c>.
    Gt              ,  ///< Verbal alias \c "Gt" to operator <c>'>'</c>.
    Greater         ,  ///< Verbal alias \c "Greater" to operator <c>'>'</c>.
    GtEq            ,  ///< Verbal alias \c "Gteq" to operator <c>'>='</c>.
    GreaterOrEqual  ,  ///< Verbal alias \c "Greater_or_equal" to operator <c>'>='</c>.
    Eq              ,  ///< Verbal alias \c "Eq" to operator <c>'=='</c>.
    Equals          ,  ///< Verbal alias \c "Equals" to operator <c>'=='</c>.
    NEq             ,  ///< Verbal alias \c "Neq" to operator <c>'!='</c>.
    NotEqual        ,  ///< Verbal alias \c "Not_equals" to operator <c>'!='</c>.
};
 
//==================================================================================================
/// #"alib_enums_records;ALib Enum Record" associated with enumeration
/// #"expressions::DefaultBinaryOperators".
//==================================================================================================
struct EROperatorAlias
{
    /// The parsable symbol of an alias operator.
    String      Symbol;
 
    /// The replacement operator symbol.
    String      Replacement;
 
    /// Required default constructor leaving the record undefined.
    /// (Requirement is documented with #"EnumRecordPrototype".)
    EROperatorAlias()                                                             noexcept =default;
 
    /// Required initializing constructor.
    /// (Requirement is documented with #"EnumRecordPrototype".)
    ///
    /// @param symbol      The parsable operator symbol.
    /// @param replacement The symbol of the aliased operator.
    EROperatorAlias( const String& symbol, const String& replacement )
    : Symbol     (symbol)
    , Replacement(replacement)                                                                    {}
 
    /// Implementation of #"EnumRecordPrototype::Parse;*".
    ALIB_DLL
    void Parse();
};
 
 
 
//==================================================================================================
/// #"BitwiseTraits;Bitwise" enum class defining options of expression compilation.
/// Flags defined with this type are set in field #"Compiler::CfgCompilation;*".
//==================================================================================================
enum class Compilation
{
    /// If this flag is set, all unary operators given in #"expressions::DefaultUnaryOperators"
    /// are defined with method #"Compiler::SetupDefaults;*".
    ///
    /// Note that the enumeration class is equipped with resourced
    /// #"alib_enums_records;ALib Enum Records", which might be changed as an
    /// alternative to clearing this flag and provide own definitions.
    ///
    /// This flag is set by default.
    DefaultUnaryOperators                               = (1 <<  1),
 
    /// If this flag is set, all binary operators given in #"expressions::DefaultBinaryOperators"
    /// are defined with method #"Compiler::SetupDefaults;*".
    ///
    /// Note that the enumeration class is equipped with resourced
    /// #"alib_enums_records;ALib Enum Records", which might be changed as an
    /// alternative to clearing this flag and provide own definitions.
    ///
    /// This flag is set by default.
    DefaultBinaryOperators                              = (1 <<  2),
 
    /// If this flag is set, all alphabetic operator aliases given in enumerations
    /// #"DefaultAlphabeticUnaryOperatorAliases" and
    /// #"DefaultAlphabeticBinaryOperatorAliases"
    /// are defined with method #"Compiler::SetupDefaults;*".
    ///
    /// Note that both enumeration classes are equipped with resourced
    /// #"alib_enums_records;ALib Enum Records", which might be changed as an
    /// alternative to clearing this flag and provide own definitions.
    ///
    /// This flag is set by default.
    DefaultAlphabeticOperatorAliases                    = (1 <<  3),
 
    /// If this flag is set, alphabetic operator aliases defined in
    /// #"Compiler::AlphabeticUnaryOperatorAliases;*" and
    /// #"Compiler::AlphabeticBinaryOperatorAliases;*" are parsed ignoring letter
    /// case.
    ///
    /// \note
    ///   Even when this flag is cleared, no two verbal operator aliases that are equal
    ///   when case is ignored must be defined (e.g "or" and "OR" ).
    ///
    /// This flag is set by default.
    AlphabeticOperatorsIgnoreCase                       = (1 <<  4),
 
    /// If not set, array subscript operator <c>[]</c> is not supported and its use will cause
    /// parse errors errors.
    ///
    /// Note that compiler plug-ins get the array subscript operator presented for compilation
    /// as a usual binary operator given as #"DefaultBinaryOperators::Subscript;*".
    /// This makes its support with custom types quite simple.
    ///
    /// \attention This flag has to be changed to a custom state before performing the first
    ///            compilation of an expression with a dedicated #"Compiler".
    ///            The rationale behind this is, that the compiler creates the parser system at its
    ///            first use, which in turn does not check the flag after creation.
    ///
    /// This flag is set by default.
    AllowSubscriptOperator                              = (1 <<  5),
 
    /// Used with constructor of compiler plug-ins
    /// #"plugins::Arithmetics;*" and
    /// #"plugins::Strings;*".
    /// (If they are activated in #"Compiler::CfgBuiltInPlugins;*" or "manually"
    /// added.)
    ///
    /// Denotes if the assignment operator <c>=</c> is an alias for equal operator <c>==</c>.
    /// If set to \c false, the use of the <c>=</c> operator with several any argument type,
    /// throws a compilation exception, unless it is compiled by a custom plug-in.
    ///
    /// \attention
    ///   In addition to aliasing the <c>==</c> with <c>=</c>, the latter also receives a
    ///   higher precedence of parsing! If this flag is not set, the precedence of
    ///   \e assign <c>=</c>,follows the C++ standards and thus is below the group of
    ///   <c>&</c>, <c>^</c>, <c>|</c>,  <c>&&</c>,  <c>||</c> and <c>? :</c>. If the alias
    ///   setting is activated, then the precedence is raised to be on the same level as
    ///   boolean equal <c>==</c> and thus higher than the aforementioned operators!
    AliasEqualsOperatorWithAssignOperator               = (1 <<  6),
 
    /// Used with constructor of compiler plug-in #"plugins::Arithmetics;*".
    /// (If it is activated in #"Compiler::CfgBuiltInPlugins;*" or "manually" added.)
    ///
    /// Denotes if the unary bitwise operator <c>~</c> and binary bitwise operators
    /// <c>&</c>, <c>|</c> and <c>^</c> should be allowed for boolean values.
    /// If set to \c false, the use of the bitwise operators with boolean arguments, throws
    /// a compilation exception, unless the bitwise operators are compiled by a custom plug-in.
    AllowBitwiseBooleanOperators                       = (1 <<  7),
 
 
    /// If \c false, compile-time exception
    /// #"Exceptions::MissingFunctionParentheses;*" is thrown if a parameterless
    /// function is stated without (otherwise redundant) parentheses <c>'()'</c>.
    ///
    /// If \c true, this is tolerated.
    ///
    /// \note
    ///   This flag is not tested, and the exception is not thrown, by the compiler itself, but
    ///   by class #"plugins::Calculus".<br>
    ///   Even if this flag is \c false, still functions without parentheses may be allowed
    ///   by setting \c nullptr to the field #"FunctionEntry::Signature;*"
    ///   when registering a function. In this case the function is considered rather being an
    ///   "identifier" than a function. (Still it is the very same as a function, it is just a
    ///   matter of wording here.)<br>
    ///
    ///   The other way round, if a function is registered as an identifier, flag
    ///   \b %AllowEmptyParenthesesForIdentifierFunctions, controls if exception
    ///   #"Exceptions::IdentifierWithFunctionParentheses;*" is to be thrown
    ///   if empty parentheses are given on functions that are registered as
    ///   identifier-style functions.
    AllowOmittingParenthesesOfParameterlessFunctions    = (1 <<  8),
 
    /// If \c false, compile-time exception
    /// #"Exceptions::IdentifierWithFunctionParentheses;*" is thrown if a
    /// parameterless function, declared as 'identifier style' is used with parentheses
    /// <c>'()'</c>.
    ///
    /// If \c true, this is tolerated.
    ///
    /// \see
    ///   For more information, see the note in documentation of flag
    ///   \b %AllowOmittingParenthesesOfParameterlessFunctions.
    AllowEmptyParenthesesForIdentifierFunctions         = (1 <<  9),
 
    /// If this flag is set (the default), the
    /// #"Compiler::CfgNestedExpressionOperator;unary nested expression operator"
    /// is activated, as well as the single-parameter overload of the
    /// #"Compiler::CfgNestedExpressionFunction;nested expression function".
    /// If the field is cleared, then only evaluation-time nested expressions are allowed,
    /// which is the two- and three-parameter version of the expression function.
    /// Other uses are then causing compilation exception
    /// #"Exceptions::UnaryOperatorNotDefined;*", respectively
    /// #"Exceptions::NestedExpressionCallArgumentMismatch;*".
    AllowCompileTimeNestedExpressions                   = (1 << 10),
 
    /// If this flag is set (the default), then identifiers that follow the unary nested
    /// expression operator (defaults to <c>'*'</c>), are internally converted to corresponding
    /// string literals - just as if they were given as a quoted string.
    ///
    /// \see
    ///   Normalization flag
    ///   #"Normalization::QuoteUnaryNestedExpressionOperatorArgument".
    AllowIdentifiersForNestedExpressions                = (1 << 11),
 
    /// If not set (the default), then names of named expressions are not distinguished by
    /// letter case.
    CaseSensitiveNamedExpressions                       = (1 << 12),
 
    /// Controls whether exceptions of type \c std::exception thrown in plug-ins during compilation
    /// are caught by the compiler and transformed to #"Exceptions::ExceptionInPlugin;*"
    ///
    /// Note that exceptions thrown in callback functions which are evaluated at compile-time
    /// against constant parameters, are considered plug-in exceptions.
    PluginExceptionFallThrough                          = (1 << 13),
 
 
    /// This is an "evaluation-time compiler flag". If not set (the default) exceptions of type
    /// #"exc Exception" and \c std::exception thrown in callback functions during expression
    /// evaluation are caught and transformed to #"Exceptions::ExceptionInCallback;*"
    /// letter case.
    CallbackExceptionFallThrough                        = (1 << 14),
 
    /// If this flag is set, no optimizations are performed when assembling the program.
    ///
    /// \note
    ///   There is absolutely no reason for setting this flag, other than for running the
    ///   unit tests. Or for playing with the little virtual machine implemented with this
    ///   library and having fun understanding the non-optimized program listings generated.
    ///   The assembly language is easy, it has only four virtual assembly commands - plus a fifth
    ///   for invoking programs of nested expressions.
    NoOptimization                                      = (1 << 20),
 
 
    /// Default value. Evaluates to:<br>
    /// <c> DefaultUnaryOperators                            + </c><br>
    /// <c> DefaultBinaryOperators                           + </c><br>
    /// <c> DefaultAlphabeticOperatorAliases                 + </c><br>
    /// <c> AlphabeticOperatorsIgnoreCase                    + </c><br>
    /// <c> AliasEqualsOperatorWithAssignOperator            + </c><br>
    /// <c> AllowBitwiseBooleanOperators                     + </c><br>
    /// <c> AllowSubscriptOperator                           + </c><br>
    /// <c> AllowOmittingParenthesesOfParameterlessFunctions + </c><br>
    /// <c> AllowEmptyParenthesesForIdentifierFunctions      + </c><br>
    /// <c> AllowCompileTimeNestedExpressions                + </c><br>
    /// <c> AllowIdentifiersForNestedExpressions             + </c><br>
    DEFAULT=    DefaultUnaryOperators
              + DefaultBinaryOperators
              + DefaultAlphabeticOperatorAliases
              + AlphabeticOperatorsIgnoreCase
              + AliasEqualsOperatorWithAssignOperator
              + AllowBitwiseBooleanOperators
              + AllowSubscriptOperator
              + AllowOmittingParenthesesOfParameterlessFunctions
              + AllowEmptyParenthesesForIdentifierFunctions
              + AllowCompileTimeNestedExpressions
              + AllowIdentifiersForNestedExpressions
};
 
//==================================================================================================
/// #"BitwiseTraits;Bitwise" enum class defining options for formatting parsed
/// expressions. The normalized conversion of the expression input string is available
/// with method #"ExpressionVal::GetNormalizedString;*", after an expression was
/// successfully #"Compiler::Compile;compiled".
///
/// The normalization flags are stored per compiler instance, consequently using a public compiler
/// field namely #"Compiler::CfgNormalization;*".
//==================================================================================================
enum class Normalization : uint64_t
{
    /// Replace given shortened and letter case mismatched identifier and function names with
    /// completed versions.<br>
    /// This flag is set with \b %DEFAULT.
    ReplaceFunctionNames                        = (1LLU <<  1),
 
    /// Replace alias operators with effective operators.<br>
    /// This flag is not set with \b %DEFAULT.
    ReplaceAliasOperators                       = (1LLU <<  2),
 
    /// This is one of four flags that together allow five possible normalization options for
    /// #"alib_expressions_operators_verbal;verbal alias operators".
    /// If more than one flag is set, the one with the highest precedence is used.
    ///
    /// The following table lists the flags, their precedence and the type of normalization:
    ///
    /// |Precedence  | Flag                             | Description
    /// |------------|----------------------------------|------------------------------
    /// | 0 | <none set>                              | A verbal operator is normalized as given in original expression string.
    /// | 1 | ReplaceVerbalOperatorsToSymbolic          | Replaces verbal operators with the symbolic operator that they represent.
    /// | 2 | ReplaceVerbalOperatorsToLowerCase         | Converts verbal operators to lower case letters.
    /// | 3 | ReplaceVerbalOperatorsToUpperCase         | Converts verbal operators to upper case letters.
    /// | 4 | ReplaceVerbalOperatorsToDefinedLetterCase | Uses the writing specified with the definition of the verbal operator.
    ///
    /// With configuration #"Normalization::DEFAULT", flag
    /// \b %ReplaceVerbalOperatorsToUpperCase is set.
    ReplaceVerbalOperatorsToSymbolic            = (1LLU <<  3),
 
    /// See sibling flag #"Normalization::ReplaceVerbalOperatorsToSymbolic".
    ReplaceVerbalOperatorsToLowerCase           = (1LLU <<  4),
 
    /// See sibling flag #"Normalization::ReplaceVerbalOperatorsToSymbolic".
    ReplaceVerbalOperatorsToUpperCase           = (1LLU <<  5),
 
    /// See sibling flag #"Normalization::ReplaceVerbalOperatorsToSymbolic".
    ReplaceVerbalOperatorsToDefinedLetterCase   = (1LLU <<  6),
 
    /// Converts nested expression names that have been given unquoted to a quoted string literal.
    /// If this is not set, the quotation remains as given in original expression string.
    /// This flag is \e not set with \b %DEFAULT.
    ///
    /// \see
    ///   Compilation flag
    ///   #"Compilation::AllowIdentifiersForNestedExpressions".
    QuoteUnaryNestedExpressionOperatorArgument  = (1LLU <<  7),
 
    /// Remove redundant provisions unary operators <c>'+'</c> and <c>'-'</c> from number
    /// literals.<br>
    /// This flag is \e not set with \b %DEFAULT.
    RemoveRedundantUnaryOpsOnNumberLiterals     = (1LLU <<  8),
 
    /// Write a space after an unary operator (if no brackets around arguments and no unary operator
    /// follows).<br>
    /// This flag is \e not set with \b %DEFAULT.
    UnaryOpSpace                                = (1LLU <<  9),
 
    /// Write a space between two unary operators.<br>
    /// This flag is \e not set with \b %DEFAULT.
    UnaryOpSpaceIfUnaryFollows                  = (1LLU << 10),
 
    /// Write a space before opening bracket of bracketed arguments of unary operators.<br>
    /// This flag is \e not set with \b %DEFAULT.
    UnaryOpSpaceIfBracketFollows                = (1LLU << 11),
 
    /// Write a space after an opening and before a closing bracket of arguments of unary operators.<br>
    /// This flag is \e not set with \b %DEFAULT.
    UnaryOpInnerBracketSpace                    = (1LLU << 12),
 
    /// If this flag is set, normalization inserts redundant brackets to the argument of an
    /// unary operator, if that argument is an unary operator itself.
    ///
    /// This flag is superseded by \b %RedundantUnaryOpBrackets.<br>
    /// This flag is \e not set with \b %DEFAULT.
    RedundantBracketsBetweenTwoUnaryOps         = (1LLU << 13),
 
    /// If this flag is set, normalization inserts redundant brackets to arguments of unary
    /// operators.
    ///
    /// This flag supersedes by \b %RedundantBracketsBetweenTwoUnaryOps.<br>
    /// This flag is \e not set with \b %DEFAULT.
    RedundantUnaryOpBrackets                    = (1LLU << 14),
 
 
    /// Write a space before and after binary operator symbol.<br>
    /// This flag is set with \b %DEFAULT.
    BinaryOpSpaces                              = (1LLU << 15),
 
    /// Write a space after an opening and before a closing bracket of arguments of binary
    /// operators and around a conditional expression.<br>
    /// This flag is \e not set with \b %DEFAULT.
    InnerBracketSpace                           = (1LLU << 16),
 
    /// Write a space before opening and after closing bracket of arguments of binary
    /// operators and around a conditional expression.<br>
    /// This flag is \e not set with \b %DEFAULT.
    OuterBracketSpace                           = (1LLU << 17),
 
    /// If this flag is set, normalization inserts redundant brackets to the right-hand side
    /// operand of binary operators if that operand is a binary operator itself and has a higher
    /// precedence.
    ///
    /// The following samples demonstrate why this is useful if normalization targets humans:
    ///
    /// Without flag set     |     With flag set
    /// ---------------------|----------------------
    /// 1 - 2 - 3                        |  <em>no change</em>
    /// 1 - 2 * 3                        |  1 - (2 * 3)
    /// 1 * 2 - 3                        |  <em>no change</em>
    /// 1 - 2 * 3 - 4 - 5 * 6 - 7        |  1 - (2 * 3) - 4 - (5 * 6) - 7
    /// true == false && true            |  <em>no change</em>
    /// true && false == true            |  true && (false == true)
    /// true && false == false && true   |  true && (false == false) && true
    /// true && false == (false && true) |  true && (false == (false && true))
    /// true && false == true < false    |  true && (false == (true < false))
    /// true && false == false == true   |  true && (false == false == true)
    /// This flag is superseded by \b %RedundantBinaryOpBrackets.<br>
    /// This flag is set with \b %DEFAULT.
    RedundantRhsBracketsIfRhsIsStrongerBinaryOp = (1LLU << 18),
 
    /// If this flag is set, normalization inserts redundant brackets to both
    /// operands of binary operators if both are binary operators themselves.
    ///
    /// The following samples demonstrate why this is useful if normalization strings target humans:
    ///
    /// Without flag set     |     With flag set
    /// ---------------------|----------------------
    /// 1 - 2 - 3            |  <em>no change</em>
    /// 1 - 2 - 3 - 4        |  <em>no change</em>
    /// 1 - 2 - (3 - 4)      |  (1 - 2) - (3 - 4)
    /// 1 - 2 - 3 - (4 - 5)  |  (1 - 2 - 3) - (4 - 5)
    /// 1 - 2 - (3 - 4) - 5  |  (1 - 2) - (3 - 4) - 5
    ///
    /// This flag is superseded by \b %RedundantBinaryOpBrackets.<br>
    /// This flag is set with \b %DEFAULT.
    RedundantBracketsIfLhsAndRhsAreBinaryOps    = (1LLU << 19),
 
    /// If this flag is set, normalization inserts redundant brackets around each binary operator
    /// sub-expression. This flag supersedes flags
    /// \b %RedundantRhsBracketsIfRhsIsStrongerBinaryOp and
    /// \b %RedundantBracketsIfLhsAndRhsAreBinaryOps.
    ///
    /// It is not recommended to set this flag. It is only useful to debug expressions and
    /// understand exactly what precedences operators have.
    ///
    /// This flag is set with \b %DEFAULT.
    RedundantBinaryOpBrackets                   = (1LLU << 20),
 
 
    /// Write a space before character <c>?</c> of ternary conditional operator.<br>
    /// This flag is set with \b %DEFAULT.
    ConditionalOpSpaceBeforeQM                  = (1LLU << 21),
 
    /// Write a space after character <c>?</c> of a ternary conditional operator.<br>
    /// This flag is set with \b %DEFAULT.
    ConditionalOpSpaceAfterQM                   = (1LLU << 22),
 
    /// Write a space before character <c>:</c> of ternary conditional operator.<br>
    /// This flag is set with \b %DEFAULT.
    ConditionalOpSpaceBeforeColon               = (1LLU << 23),
 
    /// Write a space after character <c>:</c> of ternary conditional operator.<br>
    /// This flag is set with \b %DEFAULT.
    ConditionalOpSpaceAfterColon                = (1LLU << 24),
 
    /// If this flag is set, normalization inserts redundant brackets around the conditional
    /// operator expressions <c>Q ? T : F</c>, if it is not the root node.
    ///
    /// This flag is set with \b %DEFAULT.
    RedundantConditionalOpBrackets              = (1LLU << 25),
 
    /// Write a space before between the function identifier name and the opening bracket of the
    /// argument list.<br>
    /// This flag is \e not set with \b %DEFAULT.
    FunctionSpaceBeforeOpeningBracket           = (1LLU << 26),
 
    /// Write a space after the opening and before the closing bracket of argument list of a
    /// function.<br>
    /// This flag is set with \b %DEFAULT.
    FunctionInnerBracketSpace                   = (1LLU << 27),
 
    /// Write a space between the opening and the closing bracket of an empty argument list of a
    /// function.<br>
    /// This flag is set with \b %DEFAULT.
    FunctionInnerBracketSpaceIfNoArguments      = (1LLU << 28),
 
    /// Write a space before a comma of an argument separator of an function's argument list.<br>
    /// This flag is \e not set with \b %DEFAULT.
    FunctionSpaceBeforeComma                    = (1LLU << 29),
 
    /// Write a space after a comma of an argument separator of a function's argument list.<br>
    /// This flag is set with \b %DEFAULT.
    FunctionSpaceAfterComma                     = (1LLU << 30),
 
    /// Write a space before array subscript operator <c>'[]'</c>.<br>
    /// This flag is \e not set with \b %DEFAULT.
    SubscriptSpaceBeforeBrackets                = (1LLU << 31),
 
    /// Write a space after the opening and before the closing bracket of array subscript operator
    /// <c>'[]'</c>.<br>
    /// This flag is \e not set with \b %DEFAULT.
    SubscriptInnerBracketSpace                  = (1LLU << 32),
 
 
    /// If this flag is set, floating point literals are normalized in scientific format when
    /// given in scientific format. If it is not set, then numbers given in scientific format
    /// might be written as usual floating point values, dependent on their value. E.g.
    /// a given <c>1.0e1</c> would be converted to <c>10.0</c>.
    ///
    /// Note that the scientific format can be forced for all floating point number output by
    /// settingthe flag #"NumberFormatFlags::ForceScientific" in the field
    /// #"TNumberFormat::Flags" of the variable #"Formatter::DefaultNumberFormat;*", which in turn
    /// is found in the member #"Compiler::CfgFormatter;*". Such setting would supersede
    /// this flag.
    ///
    /// This flag is \e not set with \b %DEFAULT.
    KeepScientificFormat                        = (1LLU << 33 ),
 
    /// If this flag is set, integral literals will be normalized to hexadecimal format.
    /// If this flag is not set, then integrals will be normalized in the number system that they had
    /// been provided in.
    ///
    /// This flags supersedes flags \b %ForceOctal and \b %ForceBinary.
    ///
    /// This flag is \e not set with \b %DEFAULT.
    ForceHexadecimal                            = (1LLU << 34 ),
 
    /// If this flag is set, integral literals will be normalized to octal format.
    /// If this flag is not set, then integrals will be normalized in the number system that they had
    /// been provided in.
    ///
    /// This flags is superseded by flag \b %ForceHexadecimal and supersedes flag \b %ForceBinary.
    ///
    /// This flag is \e not set with \b %DEFAULT.
    ForceOctal                                  = (1LLU << 35 ),
 
    /// If this flag is set, integral literals will be normalized to binary format.
    /// If this flag is not set, then integrals will be normalized in the number system that they had
    /// been provided in.
    ///
    /// This flags is superseded by flags \b %ForceHexadecimal and \b %ForceOctal.
    ///
    /// This flag is \e not set with \b %DEFAULT.
    ForceBinary                                 = (1LLU << 36 ),
 
    /// All flags are cleared, may be used for testing bits.
    NONE                                       = 0L,
 
    /// All flags are cleared, hence no whitespaces and unnecessary brackets are written and
    /// identifiers as they have been given (potentially abbreviated and ignoring letter case).
    COMPACT                                     = 0L,
 
    /// Default value. Evaluates to:<br>
    /// <c>ReplaceFunctionNames                        + </c><br>
    /// <c>ReplaceVerbalOperatorsToUpperCase           + </c><br>
    /// <br>
    /// <c>RemoveRedundantUnaryOpsOnNumberLiterals     + </c><br>
    /// <c>BinaryOpSpaces                              + </c><br>
    /// <c>RedundantRhsBracketsIfRhsIsStrongerBinaryOp + </c><br>
    /// <c>RedundantBracketsIfLhsAndRhsAreBinaryOps    + </c><br>
    /// <br>
    /// <c>ConditionalOpSpaceBeforeQM                  + </c><br>
    /// <c>ConditionalOpSpaceBeforeColon               + </c><br>
    /// <c>ConditionalOpSpaceAfterQM                   + </c><br>
    /// <c>ConditionalOpSpaceAfterColon                + </c><br>
    /// <c>RedundantConditionalOpBrackets              + </c><br>
    /// <br>
    /// <c>FunctionInnerBracketSpace                   + </c><br>
    /// <c>FunctionSpaceAfterComma                     + </c><br>
    DEFAULT=    ReplaceFunctionNames
              + ReplaceVerbalOperatorsToUpperCase
 
              + RemoveRedundantUnaryOpsOnNumberLiterals
              + BinaryOpSpaces
              + RedundantRhsBracketsIfRhsIsStrongerBinaryOp
              + RedundantBracketsIfLhsAndRhsAreBinaryOps
 
              + ConditionalOpSpaceBeforeQM
              + ConditionalOpSpaceBeforeColon
              + ConditionalOpSpaceAfterQM
              + ConditionalOpSpaceAfterColon
              + RedundantConditionalOpBrackets
 
              + FunctionInnerBracketSpace
              + FunctionSpaceAfterComma
};
 
/// Type definition for passing boxes as sample types.
///
/// \see For more information, see
///      #"alib_expressions_prereq_sb".
using Type= const alib::boxing::Box&;
 
/// Type definition for passing arguments to expression callbacks.
///
/// \see For more information, see
///      #"alib_expressions_prereq_sb".
using ArgIterator= StdVectorMA<Box>::iterator;
 
/// Function pointer implementing native callback functions, for expression functions and
/// operators. The implementations are defined and selected by the compiler plugins.
/// They are called (executed) when an expression is evaluated.
///
/// @param      scope     The expression's evaluation scope.
/// @param[out] argsBegin An iterator that returns \b %Box objects.
///                       The first entry takes also the result.
/// @param[out] argsEnd   The end-iterator.
///
using  CallbackDecl = Box (*)( Scope& scope, ArgIterator argsBegin, ArgIterator argsEnd );
 
 
/// This struct constitutes a type declaration for a #"alib_boxing_functions;box-function".
/// The function is used to create parsable expression "literals" from constant values of custom
/// type stored in boxes.
///
/// The function is used by the library if all of the following occurs:
/// - If custom identifiers, functions or operator callback functions return a custom type.
/// - If such types can be constants and are announced to the compiler as such.
/// - If method #"ExpressionVal::GetOptimizedString;*" is called.
/// - If such string is to be used as input to compiling expressions.
///
/// If the last condition is met, compilation of the "normalized optimized expression string " would
/// fail. If it is not met, then without a proper implementation of this function, the only
/// "damage" is that such string would show an integral value where a constant custom type was
/// expected.
///
/// The challenge of implementing this box-function for a custom type, is to convert constants of
/// custom types back into a normalized, human-readable but also compilable expression string.
/// As the expression syntax only defines the built-in literal types
/// #"Types::Integer", #"Types::Float" and
/// #"Types::String", the constants have to be created using either appropriate
/// custom identifiers or "constructor functions" that have to be provided in addition along with
/// the implementation of this box-function to make it compilable.
///
/// A sample for that situation is given in chapter #"alib_expressions_details_optimizations_norm"
/// of the Programmer's Manual.
///
/// The identifiers and constructor functions in turn need to be compile-time evaluatable
/// to ensure that recompiling the optimized string results to constants so that the same
/// optimized expression program is generated..
///
/// #### Sample: ####
/// So far, this probably sounded a little complicated. Let us look step by step at the sample
/// given in the aforementioned manual section, that is solved internally by the library using
/// this box-function declaration.
///
/// %Compiler plug-in #"plugins::DateAndTime" introduces \alib class
/// #"TimePointBase::Duration;*" to expressions. This is, for example, done by defining
/// identifiers as follows:
///
/// \snippet "plugins/dateandtime.cpp"   DOX_EXPR_FToLiteral_1
///
/// The "constructor functions" are declared to be #"CTI;compile-time invokable"
/// and return a constant value at compile-time in case their input parameter is constant.
/// When the program - that may due to optimization not contain the identifiers anymore - becomes
/// de-compiled, these constants have to be written to the normalized expression string in a way that
/// corresponding constant values of type \b %Duration are expressed.
///
/// To perform this task, an implementation of the box-function that this struct declares
/// has to be registered with boxes containing values of \b TimePointBase::Duration.<br>
/// Registrations of box-functions have to be done in the #"alib_mod_bs;bootstrap"
/// code of the library. In this case it is done in static method
/// #"plugins::DateAndTime::Bootstrap;*".
/// The function name that is used for the implementation is \b %FToLiteral_Duration. Here is
/// the line of code that registers the function with the boxed type:
///
/// \snippet "expressions/plugins/dateandtime.cpp"   DOX_EXPR_FToLiteral_2
///
/// The implementation is given in an anonymous namespace of the compilation unit of compiler plug-in
/// \b %DateAndTime. The function's signature has to meet the one given with type definition #".Signature"
/// of this struct. Besides the first parameter that passes the box that the function is invoked
/// on (the one containing the constant value of custom type), second parameter \p{expressionString}
/// provides the \b AString that the function is requested to write the "generation expression" to.<br>
/// The implementation code looks as follows:
///
/// \snippet "expressions/plugins/dateandtime.cpp"   DOX_EXPR_FToLiteral_3
///
/// As it can be understood from the code, the interface implementation tries to find the best
/// matching "constructor function" for the time span given, writes its name and the constant parameter
/// enclosed by brackets \c "()".
///
/// Only with such interface implementation in place - one that covers all possible constants - this
/// library is able to create <b>parsable, normalized, optimized expression strings</b>.
/// To finalize this example, we check what the result for three sample expressions looks like:
///
/// \snippet "DOX_EXPRESSIONS_TUT_WONO-100.txt"     OUTPUT
/// \snippet "DOX_EXPRESSIONS_TUT_WONO-101.txt"     OUTPUT
/// \snippet "DOX_EXPRESSIONS_TUT_WONO-102.txt"     OUTPUT
///
/// \note
///   When integrating module \alib_expressions_nl into software, a decision has to be
///   taken: "Should optimized expression strings be presented to the end-user?"<br>
///
/// \note
///   While it is obvious, that sample two demonstrates that to be useful, sample three probably
///   demonstrates the opposite!<br>
///   It is important to understand, that the decision depends on the custom use case, where for
///   example the technical understanding of a typical end-user may be taken into account.
///
/// \note
///   If the decision is taken, \b not to present optimized expression strings to the end-user, this
///   has absolutely no influence on the evaluation performance: The compilation of all three
///   expression strings, namely
///   - the original input,
///   - the normalized output and
///   - the optimized, normalized output,
/// \note
///   are leading to the very same (optimized) internal program when compiled!
///
/// \note
///   Of course, if no optimization strings are presented to the end-user and hence are not
///   recompiled (or copy/pasted by such users), then the implementation of this box-function is
///   not needed for your custom type, as it is only invoked with method
///   #"ExpressionVal::GetOptimizedString;*"!
struct FToLiteral
{
    /// Signature of the invokable function.
    ///
    /// @param constantValue    The constant program value that is about to be written into
    ///                         \p{expressionString}.
    /// @param expressionString The expression string that is currently generated.
    using Signature = void (*) ( const Box& constantValue, AString& expressionString );
};
 
 
//==================================================================================================
/// The module class for module \alib_expressions_nl.
///
/// This is a strict singleton class. The only instance found with namespace variable
/// #"alib::EXPRESSIONS".
//==================================================================================================
class ExpressionsCamp  : public camp::Camp
{
  public:
    /// Constructor.<br>
    /// While this is public, it must not be invoked as this is a strict singleton type.
    /// (See notes in #"alib_camp_camp").
    ExpressionsCamp();
 
  protected:
    /// Initializes this camp.
    virtual void    Bootstrap()                                                            override;
 
    /// Terminates this camp. (Nothing to do.)
    /// @param phase  The shutdown phase to perform.
    virtual void    Shutdown( ShutdownPhases phase )                      override { (void) phase; }
 
}; // class ExpressionsCamp
 
} // namespace alib[::expressions]
 
/// The singleton instance of \alibcamp class #"ExpressionsCamp".
extern ALIB_DLL expressions::ExpressionsCamp EXPRESSIONS;
 
} // namespace [alib]
 
ALIB_BOXING_VTABLE_DECLARE(  alib::expressions::Exceptions, vt_expressions_exceptions )
 
ALIB_ENUMS_MAKE_ARITHMETICAL( alib::expressions::CompilePriorities )
ALIB_ENUMS_MAKE_BITWISE(      alib::expressions::Compilation   )
ALIB_ENUMS_MAKE_BITWISE(      alib::expressions::Normalization )
 
ALIB_ENUMS_ASSIGN_RECORD(    alib::expressions::DefaultUnaryOperators , ERSerializable )
ALIB_ENUMS_ASSIGN_RECORD(    alib::expressions::DefaultBinaryOperators,
                             alib::expressions::ERBinaryOperator                        )
ALIB_ENUMS_ASSIGN_RECORD(    alib::expressions::DefaultAlphabeticUnaryOperatorAliases ,
                             alib::expressions::EROperatorAlias                         )
ALIB_ENUMS_ASSIGN_RECORD(    alib::expressions::DefaultAlphabeticBinaryOperatorAliases,
                             alib::expressions::EROperatorAlias                         )
 
ALIB_ENUMS_ASSIGN_RECORD(    alib::expressions::Exceptions, alib::exceptions::ERException )
ALIB_RESOURCED_IN_CAMP(    alib::expressions::Exceptions, alib::EXPRESSIONS, "E" )