better-enums/EnumInternal.h

/// @file EnumInternal.h
/// Internal definitions for the enum type generator in `Enum.h`.
///
/// Several definitions must precede the public `ENUM` macro and the interface
/// defined in it. This includes helper classes and all `constexpr` functions,
/// which cannot be forward-declared. In order to make `Enum.h` more readable,
/// these definitions are placed into this file, which is included from
/// `Enum.h`.
///
/// Throughout the internal code, macro and template parameters named `EnumType`
/// stand for the class types generated by the `ENUM` macro, while parameters
/// named `EnumValue` stand for the internal C++ enum types. Roughly,
/// `EnumValue == EnumType::_Value`.
///
/// @todo Consider simplifying compile-time function signatures by combining
///     arguments that don't change into a single `constexpr` object.
/// @todo There is a way to perform all computation on the names and values
///     arrays in a single pass, by requiring that all the special constants
///     (such as `_bad`) appear at the end, and working back to front. It's not
///     clear what kind of performance improvement this will give, as the
///     current passes are already pretty fast, and the compile time is
///     dominated by parsing and type checking of other code.
/// @todo It's possible that reducing the number of redundant array accesses
///     will improve compile time, but a stand-alone test suggests that the cost
///     of these accesses is very small.
/// @todo Generating the values array using the `_eat_assign` template is
///     expensive, and the cost seems to be due to the instantiation of
///     compile-time objects, not due to templates. Trying statement expressions
///     (a GNU extension) didn't work, because statement expressions aren't
///     allowed "at file scope" (in this case, within a class type declared at
///     file scope).
/// @todo `_enum::_special_names::_find` can terminate early after finding all
///     four special names' indices.
/// @todo Compile time is currently dominated by the cost of static
///     instantiation. Try to reduce this cost by statically instantiating data
///     structures for each type, then dynamically passing them to a small
///     number of actual processing functions - which only have to be
///     instantiated once for every different underlying type. Underlying types
///     are very likely to collide.



#pragma once

#include <cstddef>          // For size_t.
#include <cstring>          // For string and memory routines.
#include "EnumPreprocessorMap.h"



/// Internal namespace for compile-time and private run-time functions used by
/// the enum class generator.
namespace _enum {



/// Weak symbols to allow the same data structures to be defined statically in
/// multiple translation units, then be collapsed to one definition by the
/// linker.
#define _ENUM_WEAK      __attribute__((weak))



// Forward declaration of _Internal, for use in a friend declation in _Iterable.
template <typename EnumType> class _Internal;

/// Template for iterable objects over enum names and values.
///
/// The iterables are intended for use with C++11 `for-each` syntax. They are
/// returned by each enum type's static `names()` and `values()` methods. For
/// example, `EnumType::values()` is an iterable over valid values of type
/// `EnumType`, and allows the following form:
///
/// ~~~{.cc}
/// for (EnumType e : EnumType::values()) {
///     // ...
/// }
/// ~~~
///
/// The iterable class is templated to reuse code between the name and value
/// iterables.
///
/// @tparam Element Type of element returned during iteration: either the enum
///     type (for iterables over `values()`) or `const char*` (for iterables
///     over `names()`).
/// @tparam EnumType The enum type.
/// @tparam ArrayType Type of the array actually being iterated over. The reason
///     this is a type parameter is because for the iterable over `values()`,
///     the underlying array type is `const EnumType::_value * const`, instead
///     of `const EnumType * const`, as one might first expect. Objects of type
///     `EnumType` are constructed on the fly during iteration from values of
///     type `EnumType::_value` (this is a no-op at run-time). For iterables
///     over `names()`, `ArrayType` is simply `const char * const`, as would be
///     expeted.
///
/// @todo Consider making `_Iterable` `constexpr`.
/// @todo An iterator over valid values and an iterator over all values should
///     really be different types.
///
/// @internal
///
/// An `_Iterable` stores a reference to the array (of either names or values)
/// that will be iterated over. `_Iterable::iterator` additionally stores an
/// index into the array. The iterator begins at the first valid index. Each
/// time it is incremented, the iterator advances to the next valid index. The
/// `end()` iterator stores an index equal to the size of the array. Values are
/// considered valid if they are not equal to the bad value, are not below the
/// minimum value, and are not above the maximum value. Names are valid if they
/// are the name of a valid value.
template <typename Element, typename EnumType, typename ArrayType>
class _Iterable {
  public:
    /// Iterators for iterating over enum names or values.
    class iterator {
      public:
        /// Returns the current name or value.
        Element operator *() const { return (Element)_arrayPointer[_index]; }

        /// Advances the iterator to the next valid name or value. If there is
        /// no such value, the iterator becomes equal to the result of
        /// `_Iterable::end()`.
        /// @return A reference to itself.
        iterator& operator ++()
        {
            if (_allValues) {
                if (_index < EnumType::_rawSize) {
                    do {
                        ++_index;
                    } while(_index < EnumType::_rawSize &&
                            EnumType::_isSpecialIndex(_index));
                }
            }
            else {
                if (_index <= EnumType::_highestValidIndex) {
                    do {
                        ++_index;
                    } while(_index <= EnumType::_highestValidIndex &&
                            !EnumType::_isIterableIndex(_index));
                }
            }

            return *this;
        }

        /// Compares two iterators for equality.
        /// @param other Another iterator over the same array.
        bool operator ==(const iterator &other) const
        {
            return (other._arrayPointer == _arrayPointer) &&
                   (other._index == _index);
        }

        /// Compares two iterators for equality - negated comparison.
        /// @param other Another iterator over the same array.
        bool operator !=(const iterator &other) const
            { return !(*this == other); }

      public:
        /// An iterator can be declared without initialization - in this case,
        /// its state is undefined.
        iterator() = default;

      private:
        /// Constructs an iterator over the given array, with the given starting
        /// index. This method is used only be the enclosing `_Iterable` class.
        /// @param arrayPointer Array that will be iterated over.
        /// @param allValues If `true`, the iterator "stops" at all values,
        ///     whether they are valid or not. Otherwise, the iterator stops
        ///     only at valid values (or their names).
        /// @param index Initial index into the array. This must be the index of
        ///     a valid value.
        iterator(ArrayType arrayPointer, bool allValues, size_t index) :
            _arrayPointer(arrayPointer), _allValues(allValues),
            _index(index) { }

        /// Reference to the array being iterated.
        ArrayType       _arrayPointer;
        /// Whether to return only valid values or all values.
        bool            _allValues;
        /// Current index into the array. This is always either the index of a
        /// valid value or else it is equal to the size of the array.
        size_t          _index;

        /// Permit `_Iterable` to create iterators.
        friend class _Iterable;
    };

    /// Returns an iterator to the beginning of the name or value array.
    iterator begin() const
    {
        if (_allValues) {
            size_t      firstIndex = 0;

            while (firstIndex < EnumType::_rawSize &&
                   EnumType::_isSpecialIndex(firstIndex)) {

                ++firstIndex;
            }

            return iterator(_arrayPointer, true, firstIndex);
        }
        else {
            size_t      firstIndex = EnumType::_lowestValidIndex;

            while ((firstIndex <= EnumType::_highestValidIndex) &&
                   !EnumType::_isIterableIndex(firstIndex)) {

                ++firstIndex;
            }

            return iterator(_arrayPointer, false, firstIndex);
        }
    }

    /// Returns an iterator to the end of the name or value array.
    iterator end() const
    {
        if (_allValues)
            return iterator(_arrayPointer, true, EnumType::_rawSize);
        else {
            return iterator(_arrayPointer, false,
                            EnumType::_highestValidIndex + 1);
        }
    }

    /// Returns the number of valid elements (names or values) in the iterable -
    /// the number of times an iterator starting at `begin()` can be
    /// dereferenced and then advanced before reaching `end()`.
    size_t size() const { return EnumType::size(); }

  private:
    /// Creates an `_Iterable` object over an array.
    _Iterable(ArrayType arrayPointer, bool allValues) :
        _arrayPointer(arrayPointer), _allValues(allValues) { }

    /// The array over which iteration will be performed.
    ArrayType           _arrayPointer;
    /// Whether to return only valid values or all values.
    bool                _allValues;

    /// Permit the enum class itself to create `_Iterable` objects.
    friend class _Internal<EnumType>;
};



/// Compile-time helper class used to transform expressions of the forms `A` and
/// `A = 42` into values of type `UnderlyingType` that can be used in
/// initializer lists. The `ENUM` macro is passed a mixture of simple enum
/// constants (`A`) and constants with an explicitly-assigned value (`A = 42`).
/// Both must be turned into expressions of type `UnderlyingType` in order to be
/// usable in initializer lists of the values array. This is done by prepending
/// a cast to the expression, as follows:
/// ~~~{.cc}
/// (_eat_assign<UnderlyingType>)A
/// (_eat_assign<UnderlyingType>)A = 42
/// ~~~
/// The second case is the interesting one. At compile time, the value `A` is
/// first converted to an equivalent `_eat_assign<UnderlyingType>` object, that
/// stores the value. This object has an overriden assignment operator, which
/// "eats" the `= 42` and returns the stored value of `A`, which is then used in
/// the initializer list.
/// @tparam UnderlyingType Final type used in the values array.
template <typename UnderlyingType>
class _eat_assign {
  private:
    UnderlyingType  _value;

  public:
    explicit constexpr _eat_assign(UnderlyingType value) : _value(value) { }
    constexpr UnderlyingType operator =(UnderlyingType dummy) const
        { return _value; }
    constexpr operator UnderlyingType () const { return _value; }
};

/// Prepends its second argument with the cast `(_eat_assign<UnderlyingType>)`
/// in order to make it usable in initializer lists. See `_eat_assign`.
#define _ENUM_EAT_ASSIGN_SINGLE(UnderlyingType, expression)                    \
    ((_enum::_eat_assign<UnderlyingType>)expression)

/// Prepends each of its arguments with the casts
/// `(_eat_assign<UnderlyingType>)`, creating the elements of an initializer
/// list of objects of type `UnderlyingType`.
#define _ENUM_EAT_ASSIGN(UnderlyingType, ...)                                  \
    _ENUM_PP_MAP(_ENUM_EAT_ASSIGN_SINGLE, UnderlyingType, __VA_ARGS__)



/// Stringizes its second argument. The first argument is not used - it is there
/// only because `_ENUM_PP_MAP` expects it.
#define _ENUM_STRINGIZE_SINGLE(ignored, expression)     #expression

/// Stringizes each of its arguments.
#define _ENUM_STRINGIZE(...)                                                   \
    _ENUM_PP_MAP(_ENUM_STRINGIZE_SINGLE, ignored, __VA_ARGS__)



/// Symbols that end a constant name. Constant can be defined in several ways,
/// for example:
/// ~~~{.cc}
/// A
/// A = AnotherConstant
/// A = 42
/// A=42
/// ~~~
/// These definitions are stringized in their entirety by `_ENUM_STRINGIZE`.
/// This means that in addition to the actual constant names, the raw `_names`
/// arrays potentially contain additional trailing symbols. `_ENUM_NAME_ENDERS`
/// defines an array of symbols that would end the part of the string that is
/// the actual constant name. Note that it is important that the null terminator
/// is implicitly present in this array.
#define _ENUM_NAME_ENDERS   "= \t\n"

/// Compile-time function that determines whether a character terminates the
/// name portion of an enum constant definition.
///
/// Call as `_endsName(c)`.
///
/// @param c Character to be tested.
/// @param index Current index into the `_ENUM_NAME_ENDERS` array.
/// @return `true` if and only if `c` is one of the characters in
///     `_ENUM_NAME_ENDERS`, including the implicit null terminator in that
///     array.
constexpr bool _endsName(char c, size_t index = 0)
{
    return
        // First, test whether c is equal to the current character in
        // _ENUM_NAME_ENDERS. In the case where c is the null terminator, this
        // will cause _endsName to return true when it has exhausted
        // _ENUM_NAME_ENDERS.
        c == _ENUM_NAME_ENDERS[index]    ? true  :
        // If _ENUM_NAME_ENDERS has been exhausted and c never matched, return
        // false.
        _ENUM_NAME_ENDERS[index] == '\0' ? false :
        // Otherwise, go on to the next character in _ENUM_ENDERS.
        _endsName(c, index + 1);
}

/// Compile-time function that matches a stringized name (with potential
/// trailing spaces and equals signs) against a reference name (a regular
/// null-terminated string).
///
/// Call as `_namesMatch(stringizedName, referenceName)`.
///
/// @param stringizedName A stringized constant name, potentially terminated by
///     one of the symbols in `_ENUM_NAME_ENDERS` instead of a null terminator.
/// @param referenceName A name of interest. Null-terminated.
/// @param index Current index into both names.
/// @return `true` if and only if the portion of `stringizedName` before any of
///     the symbols in `_ENUM_NAME_ENDERS` exactly matches `referenceName`.
constexpr bool _namesMatch(const char *stringizedName,
                           const char *referenceName,
                           size_t index = 0)
{
    return
        // If the current character in the stringized name is a name ender,
        // return true if the reference name ends as well, and false otherwise.
        _endsName(stringizedName[index]) ? referenceName[index] == '\0' :
        // The current character in the stringized name is not a name ender. If
        // the reference name ended, then it is too short, so return false.
        referenceName[index] == '\0'     ? false                        :
        // Neither name has ended. If the two current characters don't match,
        // return false.
        stringizedName[index] !=
            referenceName[index]         ? false                        :
        // Otherwise, if the characters match, continue by comparing the rest of
        // the names.
        _namesMatch(stringizedName, referenceName, index + 1);
}



/// Represents invalid indices into the enum names and values arrays.
#define _ENUM_NOT_FOUND     ((size_t)-1)



/// Functions and types used to search for the indices of special names (such as
/// `_bad`.) The main purpose of this namespace is to shorten the identifiers
/// used in the implementation of the search function.
namespace _special_names {

/// Name of the special constant for declaring the invalid value.
#define _ENUM_BAD           "_bad"
/// Name of the special constant for declaring the default value.
#define _ENUM_DEF           "_def"
/// Name of the special constant for declaring the minimum value.
#define _ENUM_MIN           "_min"
/// Name of the special constant for declaring the maximum value.
#define _ENUM_MAX           "_max"

#define _ENUM_SPECIAL_COUNT 4

/// Data returned by the `_enum::_special_names::_find` function. `_find`
/// returns the index into the names array at which each one of `_bad`, `_def`,
/// `_min`, and `_max` was found, or `_ENUM_NOT_FOUND` for each special name
/// that wasn't found. It also returns the number of times each special name was
/// found. During one run of `_find` on a correct enum declaration, an
/// `_Indices` object is created at most five times. The last `_Indices` object
/// is returned to the caller by copy.
class _Indices {
  public:
    /// Last found indices for each of the special constants.
    size_t      bad, def, min, max;

    /// Number of times each special constant was seen.
    int         numberBad, numberDef, numberMin, numberMax;

    /// Creates the initial `_Indices` object, when no special names have been
    /// found.
    constexpr _Indices() :
        bad(_ENUM_NOT_FOUND), def(_ENUM_NOT_FOUND),
        min(_ENUM_NOT_FOUND), max(_ENUM_NOT_FOUND),
        numberBad(0), numberDef(0), numberMin(0), numberMax(0) { }

  private:
    /// Constructor used internally by the `foundXYZ` methods, each called when
    /// one of the special names is encountered. Sets the fields of the
    /// `_Indices` object.
    constexpr _Indices(size_t _bad, size_t _def, size_t _min, size_t _max,
                       int _numberBad, int _numberDef,
                       int _numberMin, int _numberMax) :
        bad(_bad), def(_def), min(_min), max(_max),
        numberBad(_numberBad), numberDef(_numberDef),
        numberMin(_numberMin), numberMax(_numberMax) { }

  public:
    /// Called by `_find` when `_bad` is found. Sets the index of the last match
    /// for `_bad` to the given index, and increments the number of times `_bad`
    /// has been found. Returns a new `_Indices` object reflecting this change.
    /// @param index Index at which `_bad` was found in the names array.
    /// @return The new `_Indices` object.
    constexpr const _Indices foundBad(size_t index) const
        { return _Indices(index, def, min, max,
                          numberBad + 1, numberDef, numberMin, numberMax); }

    /// Called by `_find` when `_def` is found.
    /// @see `foundBad`
    constexpr const _Indices foundDef(size_t index) const
        { return _Indices(bad, index, min, max,
                          numberBad, numberDef + 1, numberMin, numberMax); }

    /// Called by `_find` when `_min` is found.
    /// @see `foundBad`
    constexpr const _Indices foundMin(size_t index) const
        { return _Indices(bad, def, index, max,
                          numberBad, numberDef, numberMin + 1, numberMax); }

    /// Called by `_find` when `_max` is found.
    /// @see `foundBad`
    constexpr const _Indices foundMax(size_t index) const
        { return _Indices(bad, def, min, index,
                          numberBad, numberDef, numberMin, numberMax + 1); }
};

/// Compile-time function that returns the indices of constants named `_bad`,
/// `_def`, `_min`, and `_max`, if they are present, and the number of times
/// each index was found. The search is done back-to-front, so that future
/// versions of this function can take advantage of the likelihood that all the
/// special names are found at the end of the enum declaration, and terminate
/// early.
///
/// Call as `_find(names, array_size - 1)`.
///
/// @param names Enum constant names array.
/// @param index Current index into the names array.
/// @param indices Current search results.
/// @return An `_Indices` object representing the search results.
constexpr _Indices _find(const char * const *names, size_t index,
                         const _Indices &indices = _Indices())
{
    return
        // If the index has been advanced (backward) to past the beginning of
        // the array, return the current search results by copy.
        index == (size_t)-1                  ? indices       :
        // The index is valid. As an optimization, check if the current name
        // begins with an underscore. If not, immediately go on to the next
        // index (in a backwards direction).
        names[index][0] != '_'               ?
            _find(names, index - 1, indices)                 :
        // The index is valid and the name begins with an underscore. Compare
        // the entire name with each of the potential special names. If there is
        // a match, continue at next index with an updated _Indices object.
        // Otherwise, try the next special name.
        _namesMatch(names[index], _ENUM_BAD) ?
            _find(names, index - 1, indices.foundBad(index)) :
        _namesMatch(names[index], _ENUM_DEF) ?
            _find(names, index - 1, indices.foundDef(index)) :
        _namesMatch(names[index], _ENUM_MIN) ?
            _find(names, index - 1, indices.foundMin(index)) :
        _namesMatch(names[index], _ENUM_MAX) ?
            _find(names, index - 1, indices.foundMax(index)) :
        // If the name did not match any of the special names, continue at the
        // next index into the names array (in a backwards direction) with the
        // current indices object unchanged.
        _find(names, index - 1, indices);
}

}



/// Compile-time function that determines whether a given index is one of the
/// indices in `specialIndices`. After the enum generator finds the special
/// names using `_enum::_special_names::_find`, it puts the four indices into an
/// array of length 4. Indices for special names that weren't found are set to
/// `_ENUM_NOT_FOUND`. Other functions, that run later, need to know whether
/// they are dealing with one of these special indices or not. This function
/// exists for that purpose.
///
/// Call as `_isSpecial(specialIndices, specialIndexCount, someIndex)`.
///
/// @param specialIndices Array of special indices.
/// @param specialIndexCount Number of special indices.
/// @param candidate A candidate index.
/// @param index Current index into `specialIndices`.
constexpr bool _isSpecial(const size_t *specialIndices,
                          size_t specialIndexCount, size_t candidate,
                          size_t index = 0)
{
    return
        // If the index into specialIndices is equal to the number of such
        // special indices, then the candidate index was not found, so return
        // false.
        index == specialIndexCount         ? false :
        // index is less than the count of special indices. If the candidate is
        // equal to the current special index, return true.
        candidate == specialIndices[index] ? true  :
        // Otherwise, continue to the next special index.
        _isSpecial(specialIndices, specialIndexCount, candidate, index + 1);
}

/// Compile-time function that determines whether the value at one index is also
/// present at another index in the enum values array by searching forward.
/// Special constants such as `_bad` must be set to the value of another,
/// non-special constant that is also declared in the enum type. This function
/// and `_resolveReverse` check for this requirement by finding another index
/// with the same value as the given index. `_resolveForward` is used for values
/// that are likely to be found near the beginning of the enum declaration:
/// `_min` and `_def`.
///
/// Call as `_resolveForward(values, count, special, specialCount, value)`.
///
/// @tparam UnderlyingType Type of elements in the values array.
/// @param values Enum values array.
/// @param valueCount Number of elements in `values`.
/// @param specialIndices Special indices array. See `_isSpecial`. This array is
///     used to reject values that are found at special indices - the value
///     being resolved must be found at a non-special index.
/// @param specialIndexCount Number of elements in `specialIndices`.
/// @param specialValue Value to be resolved.
/// @param index Current index into the `values` array.
/// @return The non-special index at which `specialValue` is found, or
///     `_ENUM_NOT_FOUND` if it is not found at all.
template <typename UnderlyingType>
constexpr size_t _resolveForward(const UnderlyingType *values,
                                 size_t valueCount,
                                 const size_t *specialIndices,
                                 size_t specialIndexCount,
                                 UnderlyingType specialValue, size_t index = 0)
{
    return
        // If iteration has reached the end of the values array, then the value
        // has not been found.
        index == valueCount             ? _ENUM_NOT_FOUND :
        // index still points into the array. If the value at the index is equal
        // to the special value, and this is not a special index, then return
        // the index.
        values[index] == specialValue &&
            !_isSpecial(specialIndices, specialIndexCount, index)
                                        ? index           :
        // Otherwise, continue at the next index into the values array.
        _resolveForward(values, valueCount, specialIndices, specialIndexCount,
                        specialValue, index + 1);
}

/// Compile-time function that resolves special values in a backwards direction.
///
/// Call as `_resolveReverse(values, count, special, specialCount, value,
///                          count - 1)`.
///
/// @see `_resolveForward`
template <typename UnderlyingType>
constexpr size_t _resolveReverse(const UnderlyingType *values,
                                 const size_t *specialIndices,
                                 size_t specialIndexCount,
                                 UnderlyingType specialValue, size_t index)
{
    return
        // The index is assumed to be valid upon entry into this function.
        // Immediately perform the same check as in _resolveForward.
        values[index] == specialValue &&
            !_isSpecial(specialIndices, specialIndexCount, index)
                                       ? index           :
        // If the value was not found at the current index, then, if the current
        // index is zero, the value is not present in values.
        index == 0                     ? _ENUM_NOT_FOUND :
        // Otherwise, continue at the next (in a backwards direction) index into
        // the values array.
        _resolveReverse(values, specialIndices, specialIndexCount,
                        specialValue, index - 1);
}



/// Compile-time function that returns the highest index lower than the initial
/// value of `index` that is not a special index. Used to find the bad value if
/// it is not explicitly given by supplying the `_bad` constant.
///
/// Call as `_highestRegular(special, specialCount, valueCount - 1)`.
///
/// @param specialIndices Array of special indices (indices of `_bad`, etc.)
/// @param specialIndexCount Number of elements in `specialIndices`.
/// @param index Current candidate index. This starts at the number of enum
///     constants, minus one, and decreases until an index that is not in
///     `specialIndices` is found.
constexpr size_t _highestRegular(const size_t *specialIndices,
                                 size_t specialIndexCount, size_t index)
{
    return
        // The current index is assumed to be valid. If it's not a special
        // index, return it.
        !_isSpecial(specialIndices,
                    specialIndexCount, index) ? index           :
        // If it's a special index and is zero, there are no lower non-special
        // indices - return _ENUM_NOT_FOUND.
        index == 0                            ? _ENUM_NOT_FOUND :
        // Otherwise, continue the search at the next-lowest index. This cannot
        // happen more than four times because there are at most four special
        // indices.
        _highestRegular(specialIndices, specialIndexCount, index - 1);
}



/// Compile-time function that finds the lowest index that is not a special
/// index, and is not the index of the bad value. The bad value is the one that
/// is either set by `_bad`, or, if `_bad` is not given, it is the last regular
/// (non-special) value declared in the enum type.
///
/// Call as `_lowestValid(values, count, special, specialCount, badValue)`.
///
/// @tparam UnderlyingType Type of elements in the values array.
/// @param values Values array.
/// @param valueCount Number of elements in the values array.
/// @param specialIndices Special index array.
/// @param specialIndexCount Number of elements in `specialIndices`.
/// @param badValue The bad value.
/// @param index Current index into `values`.
template <typename UnderlyingType>
constexpr size_t _lowestValid(const UnderlyingType *values, size_t valueCount,
                              const size_t *specialIndices,
                              size_t specialIndexCount, UnderlyingType badValue,
                              size_t index = 0)
{
    return
        // If the values array has been exhausted without finding a valid index,
        // return _ENUM_NOT_FOUND.
        index == valueCount           ? _ENUM_NOT_FOUND :
        // The values array has not been exhausted. If the current index is not
        // special, and the value at the index is not the bad value, return the
        // index.
        !_isSpecial(specialIndices, specialIndexCount, index) &&
            values[index] != badValue ? index           :
        // Otherwise, continue at the next index in the values array.
        _lowestValid(values, valueCount, specialIndices, specialIndexCount,
                     badValue, index + 1);
}



/// Compile-time function that finds the highest index that is not a special
/// index, and is not the index of the bad value.
///
/// Call as `_highestValid(values, special, specialCount, badValue,
///                        valueCount - 1)`.
///
/// @see `_lowestValid`
template <typename UnderlyingType>
constexpr size_t _highestValid(const UnderlyingType *values,
                               const size_t *specialIndices,
                               size_t specialIndexCount,
                               UnderlyingType badValue, size_t index)
{
    return
        // The index is assumed to be in range upon entry into this function. If
        // it's not a special index, nor is the value at the index equal to the
        // bad value, return the index.
        !_isSpecial(specialIndices, specialIndexCount, index) &&
            values[index] != badValue ? index           :
        // Otherwise, if the index has reached zero, a valid index will not be
        // found.
        index == 0                    ? _ENUM_NOT_FOUND :
        // The index is not valid and greater than zero - continue at the next
        // (decreasing) index into the values array.
        _highestValid(values, specialIndices, specialIndexCount, badValue,
                      index - 1);
}



/// Functions and types used to compute range properties such as the minimum and
/// maximum declared enum values, and the total number of valid enum values.
namespace _range {

/// Type of object returned by `_minMax`. Pair of the minimum and maximum value
/// found.
class _MinMax {
  public:
    size_t      min, max;

    constexpr _MinMax(size_t _min, size_t _max) :
        min(_min), max(_max) { }
};

/// Compile-time function that finds the default minimum and maximum values of
/// an enum. Note that if the minimum and/or maximum value is overridden using
/// `_min` and `_max`, the corresponding result of this function will be
/// ignored.
///
/// This function should be called with `bestMin` and `bestMax` set to the first
/// valid (non-special, non-bad) index in the enumeration. One such index is
/// guaranteed to exist by code that runs prior to where this function is
/// called.
///
/// @tparam UnderlyingType The enum underlying type. Comparisons are done at
///     this type. Note that the signedness of this type affects the
///     comparisons.
/// @param values Enum values array.
/// @param valueCount Number of values.
/// @param specialIndices Special index array.
/// @param specialIndexCount Number of special indices.
/// @param badValue The bad value.
/// @param index Current index in the iteration. This should initially be set to
///     the index after the first valid index (add one to it).
/// @param bestMin Index of the lowest valid value found so far.
/// @param bestMax Index of the highest valid value found so far.
template <typename UnderlyingType>
constexpr _MinMax _minMax(const UnderlyingType *values, size_t valueCount,
                          const size_t *specialIndices,
                          size_t specialIndexCount, UnderlyingType badValue,
                          size_t index, size_t bestMin, size_t bestMax)
{
    return
        // If the current index is at the end of the array, return the pair of
        // the best found minimum and maximum.
        index == valueCount               ? _MinMax(bestMin, bestMax) :
        // If the current is index is special (is _bad, _def, _min, or _max), or
        // if the value at the current index is equal to the bad value, then
        // skip the current index - go on to the next one without updating the
        // min or max.
        _isSpecial(specialIndices, specialIndexCount, index) ||
                values[index] == badValue ?
            _minMax(values, valueCount, specialIndices, specialIndexCount,
                    badValue, index + 1, bestMin, bestMax)            :
        // If the current value is higher than the best max so far, continue at
        // the next index with the best max index updated to the current index.
        // Note that it is not necessary to also check if the current value is
        // less than the best min - the min and max start at the same value, and
        // the min can never go above the max after that. This is an
        // optimization that saves a nontrivial amount of time.
        values[index] > values[bestMax]   ?
            _minMax(values, valueCount, specialIndices, specialIndexCount,
                    badValue, index + 1, bestMin, index)              :
        // Otherwise, if the current value is not higher than the min, continue
        // at the next index. If the current value is less than the best min so
        // far, then do update the best min for the recursive call.
        _minMax(values, valueCount, specialIndices, specialIndexCount,
                badValue, index + 1,
                values[index] < values[bestMin] ? index : bestMin,
                bestMax);
}

/// Compile-time function that finds the "size" of the enum names and values
/// arrays. The size is the number of constants that would be returned when
/// iterating over the enum. Constants are returned when they are not special
/// (`_bad`, `_def`, `_min`, or `_max`), not bad (not equal to `_bad` if `_bad`
/// is defined, or not the last non-special constant otherwise), not less than
/// the minimum constant, and not less than the maximum constant.
///
/// Call as `_size(values, count, special, specialCount, bad, min, max)`.
///
/// @tparam Underlying enum type.
/// @param values Enum values.
/// @param valueCount Size of the `values` array.
/// @param specialIndices Indices of the special constants.
/// @param specialIndexCount Number of special indices.
/// @param badValue The bad value.
/// @param min Minimum value.
/// @param max Maximum value.
/// @param index Current index in the scan over `values`.
/// @param accumulator Number of valid constants found so far.
template <typename UnderlyingType>
constexpr size_t _size(const UnderlyingType *values, size_t valueCount,
                       const size_t *specialIndices, size_t specialIndexCount,
                       UnderlyingType badValue, UnderlyingType min,
                       UnderlyingType max, size_t index = 0,
                       size_t accumulator = 0)
{
    return
        // If the index has reached the end of values, return the number of
        // valid constants found.
        index == valueCount         ? accumulator             :
        // If the current index is special, or the value is bad, or the value is
        // below the min or above the max, continue scanning at the next index
        // without changing the accumulator.
        _isSpecial(specialIndices, specialIndexCount, index) ||
                values[index] == badValue || values[index] < min ||
                values[index] > max ?
            _size(values, valueCount, specialIndices, specialIndexCount,
                  badValue, min, max, index + 1, accumulator) :
        // If the current index is none of the above, continue at the next index
        // and increment the accumulator to account for the current value.
        _size(values, valueCount, specialIndices, specialIndexCount,
              badValue, min, max, index + 1, accumulator + 1);
}

} // namespace _range

} // namespace _enum

// TODO Document reliance on the order of strings and constants being the same.
// TODO Document naming convention: raw, blank, processed.
// TODO Note that the static_assert for _rawSize > 0 never really gets a chance
// to fail in practice, because the preprocessor macros break before that.
// TODO Argue why there is always a first regular and a last regular.
// TODO Document clang WAR for min and max.
// TODO Default should be the first index that is not the invalid index.
// TODO static asserts about the underlying type being an integral type. Allow
// only the types supported by C++11 enum class.

#define _ENUM_CONSTANT_RESOLVES_FORWARD(EnumType, ConstantIndex, ConstantName) \
    static_assert(ConstantIndex == _ENUM_NOT_FOUND ||                          \
                  _enum::_resolveForward(_values, _rawSize, _specialIndices,   \
                                         _ENUM_SPECIAL_COUNT,                  \
                                         _values[ConstantIndex])               \
                      != _ENUM_NOT_FOUND,                                      \
                  "special constant " ConstantName " must be equal to another "\
                  "constant");

#define _ENUM_CONSTANT_RESOLVES_REVERSE(EnumType, ConstantIndex, ConstantName) \
    static_assert(ConstantIndex == _ENUM_NOT_FOUND ||                          \
                  _enum::_resolveReverse(_values, _specialIndices,             \
                                         _ENUM_SPECIAL_COUNT,                  \
                                         _values[ConstantIndex], _rawSize - 1) \
                      != _ENUM_NOT_FOUND,                                      \
                  "special constant " ConstantName " must be equal to another "\
                  "constant");

namespace _enum {

// TODO Consider reserving memory statically. This will probably entail a great
// compile-time slowdown, however.
static const char * const* _processNames(const char * const *rawNames,
                                         size_t count)
{
    // Allocate the replacement names array.
    const char      **processedNames = new const char*[count];
    if (processedNames == nullptr)
        return nullptr;

    // Count the number of bytes needed in the replacement names array (an upper
    // bound).
    size_t          bytesNeeded = 0;
    for (size_t index = 0; index < count; ++index)
        bytesNeeded += std::strlen(rawNames[index]) + 1;

    // Allocate memory for the string data.
    char            *nameStorage = new char[bytesNeeded];
    if (nameStorage == nullptr) {
        delete[] processedNames;
        return nullptr;
    }

    // Trim each name and place the result in storage, then save a pointer to
    // it.
    char            *writePointer = nameStorage;
    for (size_t index = 0; index < count; ++index) {
        const char  *nameEnd =
            std::strpbrk(rawNames[index], _ENUM_NAME_ENDERS);

        size_t      symbolCount =
            nameEnd == nullptr ?
                std::strlen(rawNames[index]) :
                nameEnd - rawNames[index];

        std::strncpy(writePointer, rawNames[index], symbolCount);
        processedNames[index] = writePointer;
        writePointer += symbolCount;

        *writePointer = '\0';
        ++writePointer;
    }

    return processedNames;
}

template <typename EnumType> class _GeneratedArrays;

#define _ENUM_ARRAYS(EnumType, UnderlyingType, ...)                            \
    class EnumType;                                                            \
                                                                               \
    namespace _enum {                                                          \
                                                                               \
    template <>                                                                \
    class _GeneratedArrays<EnumType> {                                         \
      public:                                                                  \
        enum _Value { __VA_ARGS__ };                                           \
                                                                               \
        using Underlying = UnderlyingType;                                     \
                                                                               \
      protected:                                                               \
        static constexpr Underlying         _values[] =                        \
            { _ENUM_EAT_ASSIGN(UnderlyingType, __VA_ARGS__) };                 \
                                                                               \
        static constexpr const char         *_names[] =                        \
            { _ENUM_STRINGIZE(__VA_ARGS__) };                                  \
                                                                               \
        static constexpr size_t             _rawSize =                         \
            _ENUM_PP_COUNT(__VA_ARGS__);                                       \
    };                                                                         \
                                                                               \
    constexpr _GeneratedArrays<EnumType>::Underlying _ENUM_WEAK                \
                                    _GeneratedArrays<EnumType>::_values[];     \
                                                                               \
    constexpr const char * _ENUM_WEAK   _GeneratedArrays<EnumType>::_names[];  \
                                                                               \
                                                                               \
    template <>                                                                \
    const char * const * _ENUM_WEAK     _Internal<EnumType>::_processedNames = \
                                            nullptr;                           \
                                                                               \
    }

// TODO Compute first index for iteration while computing range properties.

template <typename EnumType>
class _Internal : public _GeneratedArrays<EnumType> {
  protected:
    using _arrays = _GeneratedArrays<EnumType>;
    using _arrays::_values;
    using _arrays::_names;
    using _arrays::_rawSize;

  public:
    using typename _arrays::_Value;
    using typename _arrays::Underlying;

  protected:
    static_assert(_rawSize > 0, "no constants defined in enum type");

    static constexpr _enum::_special_names::_Indices
                                        _indices =
        _enum::_special_names::_find(_names, _rawSize - 1);

    static constexpr size_t             _specialIndices[] =
        { _indices.bad, _indices.def, _indices.min, _indices.max };

    _ENUM_CONSTANT_RESOLVES_REVERSE(EnumType, _indices.bad, _ENUM_BAD);
    _ENUM_CONSTANT_RESOLVES_FORWARD(EnumType, _indices.def, _ENUM_DEF);
    _ENUM_CONSTANT_RESOLVES_FORWARD(EnumType, _indices.min, _ENUM_MIN);
    _ENUM_CONSTANT_RESOLVES_REVERSE(EnumType, _indices.max, _ENUM_MAX);

    static constexpr size_t             _badIndex =
        _indices.bad == _ENUM_NOT_FOUND          ?
            _enum::_highestRegular(_specialIndices, _ENUM_SPECIAL_COUNT,
                                   _rawSize - 1) :
            _indices.bad;

    static_assert(_badIndex != _ENUM_NOT_FOUND,
                  "_bad not defined and no regular constants in enum type");

    static constexpr size_t             _lowestValidIndex =
        _enum::_lowestValid(_values, _rawSize, _specialIndices,
                            _ENUM_SPECIAL_COUNT, _values[_badIndex]);

    static constexpr size_t             _highestValidIndex =
        _enum::_highestValid(_values, _specialIndices, _ENUM_SPECIAL_COUNT,
                             _values[_badIndex], _rawSize - 1);

    static_assert(_lowestValidIndex != _ENUM_NOT_FOUND,
                  "no valid (non-bad) constants in enum type");
    static_assert(_highestValidIndex != _ENUM_NOT_FOUND,
                  "no valid (non-bad) constants in enum type");

    static constexpr size_t             _defIndex =
        _indices.def == _ENUM_NOT_FOUND ? _lowestValidIndex : _indices.def;

    static constexpr _enum::_range::_MinMax
                                        _minMax =
        _enum::_range::_minMax(_values, _rawSize, _specialIndices,
                               _ENUM_SPECIAL_COUNT, _values[_badIndex],
                               _lowestValidIndex + 1, _lowestValidIndex,
                               _lowestValidIndex);

    static constexpr size_t             _minIndex =
        _indices.min == _ENUM_NOT_FOUND ? _minMax.min : _indices.min;

    static constexpr size_t             _maxIndex =
        _indices.max == _ENUM_NOT_FOUND ? _minMax.max : _indices.max;

    static_assert(_values[_minIndex] <= _values[_maxIndex],
                  "minimum constant has value greater than maximum constant");

    static constexpr size_t             _size =
        _enum::_range::_size(_values, _rawSize, _specialIndices,
                             _ENUM_SPECIAL_COUNT, _values[_badIndex],
                             _values[_minIndex], _values[_maxIndex]);

    static constexpr size_t             _specialBadIndex = _indices.bad;
    static constexpr size_t             _specialDefIndex = _indices.def;
    static constexpr size_t             _specialMinIndex = _indices.min;
    static constexpr size_t             _specialMaxIndex = _indices.max;

    static constexpr bool _isSpecialIndex(size_t index)
    {
        return
            index == _specialBadIndex            ? true :
            index == _specialDefIndex            ? true :
            index == _specialMinIndex            ? true :
            index == _specialMaxIndex            ? true :
            false;
    }

// Clang complains about the comparison with "min" when the underlying type is
// unsigned and "min" is 0. Disable that warning. GCC doesn't even have this
// warning under this name (and does not complain).
#ifdef __clang__
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wtautological-compare"
#endif // #ifdef __clang__

    static constexpr bool _isIterableIndex(size_t index)
    {
        return
            _isSpecialIndex(index)               ? false :
            _values[index] == _values[_badIndex] ? false :
            _values[index] < _values[_minIndex]  ? false :
            _values[index] > _values[_maxIndex]  ? false :
            true;
    }

#ifdef __clang__
#pragma GCC diagnostic pop
#endif // #ifdef __clang__

    static const char * const           *_processedNames;

    static void _processNames()
    {
        if (_processedNames == nullptr)
            _processedNames = _enum::_processNames(_names, _rawSize);
    }

    using ValueIterable =
        _Iterable<const EnumType, EnumType, const Underlying * const>;
    using NameIterable =
        _Iterable<const char*, EnumType, const char * const*>;

    friend ValueIterable;
    friend NameIterable;

    static ValueIterable values()
    {
        return ValueIterable(_values, false);
    }

    static ValueIterable allValues()
    {
        return ValueIterable(_values, true);
    }

    static NameIterable names()
    {
        _processNames();

        return NameIterable(_processedNames, false);
    }

    static NameIterable allNames()
    {
        _processNames();

        return NameIterable(_processedNames, true);
    }

    static const char* desc(EnumType value)
    {
        _processNames();

        for (size_t index = 0; index < _rawSize; ++index) {
            if (_values[index] == value)
                return _processedNames[index];
        }

        return _processedNames[_badIndex];
    }

    static const char* descE(EnumType value)
    {
        const char  *result = desc(value);

        // Note that this is a pointer comparison. Takes deliberate advantage of
        // the fact that exactly this pointer is returned by desc() in case of
        // failure.
        if (result == _processedNames[_badIndex]) {
            // TODO Throw an exception here.
        }
        else
            return result;
    }

    static EnumType find(const char *name)
    {
        _processNames();

        for (size_t index = 0; index < _rawSize; ++index) {
            if (strcmp(_processedNames[index], name) == 0)
                return (EnumType)_values[index];
        }

        return (EnumType)_values[_badIndex];
    }

    static EnumType findE(const char *name)
    {
        EnumType    result = find(name);

        if (result == (_Value)_values[_badIndex])
            // TODO Throw an exception here.
        else
            return result;
    }

    static EnumType caseFind(const char *name)
    {
        _processNames();

        for (size_t index = 0; index < _rawSize; ++index) {
            if (strcasecmp(_processedNames[index], name) == 0)
                return (EnumType)_values[index];
        }

        return (EnumType)_values[_badIndex];
    }

    static EnumType caseFindE(const char *name)
    {
        EnumType    result = caseFind(name);

        if (result == (_Value)_values[_badIndex]) {
            // TODO Throw an exception here.
        }
        else
            return result;
    }

// See comment by _isIterableIndex.
#ifdef __clang__
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wtautological-compare"
#endif // #ifdef __clang__

    template <typename IntegralType>
    static bool valid(IntegralType value)
    {
        static_assert(is_integral<IntegralType>::value,
                      "argument to EnumType::valid must have integral type");
        static_assert(is_signed<IntegralType>::value ==
                      is_signed<Underlying>::value,
                      "argument to EnumType::valid must be signed if and only "
                      "if underlying type of EnumType is signed");

        return value >= _values[_minIndex] &&
               value <= _values[_maxIndex] &&
               value != _values[_badIndex];
    }

#ifdef __clang__
#pragma GCC diagnostic pop
#endif // #ifdef __clang__

    static bool valid(const char *name)
    {
        EnumType    value = find(name);

        return valid(value.toUnderlying());
    }

    static bool caseValid(const char *name)
    {
        EnumType    value = caseFind(name);

        return valid(value.toUnderlying());
    }

  public:
    bool operator ==(const EnumType &other) const
        { return static_cast<const EnumType&>(*this)._value == other._value; }
    bool operator ==(const _Value value) const
        { return static_cast<const EnumType&>(*this)._value == value; }
    template <typename T> bool operator ==(T other) const = delete;

    bool operator !=(const EnumType &other) const
        { return !(*this == other); }
    bool operator !=(const _Value value) const
        { return !(*this == value); }
    template <typename T> bool operator !=(T other) const = delete;

    bool operator <(const EnumType &other) const
        { return static_cast<const EnumType&>(*this)._value < other._value; }
    bool operator <(const _Value value) const
        { return static_cast<const EnumType&>(*this)._value < value; }
    template <typename T> bool operator <(T other) const = delete;

    bool operator <=(const EnumType &other) const
        { return static_cast<const EnumType&>(*this)._value <= other._value; }
    bool operator <=(const _Value value) const
        { return static_cast<const EnumType&>(*this)._value <= value; }
    template <typename T> bool operator <=(T other) const = delete;

    bool operator >(const EnumType &other) const
        { return static_cast<const EnumType&>(*this)._value > other._value; }
    bool operator >(const _Value value) const
        { return static_cast<const EnumType&>(*this)._value > value; }
    template <typename T> bool operator >(T other) const = delete;

    bool operator >=(const EnumType &other) const
        { return static_cast<const EnumType&>(*this)._value >= other._value; }
    bool operator >=(const _Value value) const
        { return static_cast<const EnumType&>(*this)._value >= value; }
    template <typename T> bool operator >=(T other) const = delete;

    int operator -() const = delete;
    template <typename T> int operator +(T other) const = delete;
    template <typename T> int operator -(T other) const = delete;
    template <typename T> int operator *(T other) const = delete;
    template <typename T> int operator /(T other) const = delete;
    template <typename T> int operator %(T other) const = delete;

    template <typename T> int operator <<(T other) const = delete;
    template <typename T> int operator >>(T other) const = delete;

    int operator ~() const = delete;
    template <typename T> int operator &(T other) const = delete;
    template <typename T> int operator |(T other) const = delete;
    template <typename T> int operator ^(T other) const = delete;

    int operator !() const = delete;
    template <typename T> int operator &&(T other) const = delete;
    template <typename T> int operator ||(T other) const = delete;
};

}