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+Operator Defaults
+=================
+
+This proposal introduces a new syntax for requesting a default implementation
+of an operator and the rules for generating them.
+
+This is to build on the implied relationships between operators. Most default
+operators will be implemented in terms of other operators. As a fall-back
+operators can try to figure out an intuitive definition from inspection of the
+type's sue declaration.
+
+Syntax
+------
+
+The syntax for requesting a default implementation is part of function
+definition. After the function signature (after the parameter list) instead
+of putting the function body you declare it to be equal to default.
+
+    box ?+?(box const & left, box const & right) = default;
+
+These can exist along side any forward definitions of the function, but would
+conflict with any other complete definitions or deletions of the function.
+
+It could be valid syntax on any function, but possibly all non-operators would
+report that no default implementation available.
+
+If default implementations are really popular and we don't need additional
+information about the signature a more compact syntax could be added.
+
+    default box( ?(), ?=?, ?!=?, ?<?, ?>?, ?<=?, ?>=? );
+
+Generation Strategies
+---------------------
+
+There exists a system around the default generation that selects how to
+generate a given function if one can be generated at all. This section
+describes that system and some of the logic behind it.
+
+There are two main strategies for generating an operator implementation.
+
+The first is to mimic the relationship between operators on the primitive
+types by defining a new operator in terms of an existing operator on the same
+type. For instance `++i` is equivalent to `i += 1`, so the generated
+implementation will "look like" that.
+
+The second is to inspect the structure of the declaration to guess at what
+the default implementation would be. Because of that it is dependent on the
+kind of declaration, a structure doesn't have the same rules as an
+enumeration. Also it is similar to the implicate definitions currently created
+by the compiler and the generation methods for many are carried over.
+
+From these strategies a method of generation (a particular set of rules that
+define an implementation from the type and existing functions) has to be
+picked, but often there is more than on reasonable choice. In these cases they
+are ordered and the first (best) one whose requirements is met is then used.
+See "Circular Requirements" below for some exceptions and extensions to this
+pattern.
+
+Generally the methods based on operators come first as they propagate any
+unusual implementations from the explicate operators to the ones being
+generated. If all of those fail then the intuitive definition based on the
+declaration's shape is used. The general patterns in this area for the
+different sue types follow.
+
+### Structures
+Structures will usually apply the operation to each field, or when there are
+two parameters the matching pairs of fields from each, and then combine the
+results.
+
+This does require that the fields have certain operators defined on them.
+In this respect it is still operator based generation, but we use inspection
+on the structure to find out which operators to use.
+
+Also, for the purposes of default generation types declared with the
+concurrency modifiers (coroutine, monitor and thread) are considered structs.
+The default implementations should be the same as if you had written out the
+extra field and functions by hand.
+
+### Enumerations
+The two ways of using enumerations are considered. First as "one of" the
+list options as in normal use, the second is as a set of flags where each
+option represents a flag that may or may not be set.
+
+Currently there is no way to specify which nor does the system attempt to
+guess by checking assigned values. There is one case where an operator could
+have a meaningful default in both versions. If both are included then we can
+try to pick one by scanning the enumeration to see what values its options
+are given (a linear series or powers of 2) could be used. In all other cases
+the definition that makes sense can be assumed.
+
+### Unions
+Unions are the hardest to deal with because the instance does not show which
+field in the union is being used. Because of that there are very few intuitive
+definitions to use and the ones that do depend on bit-wise operations and only
+if the union is made of primitive types.
+
+### Traits
+Default operations are not supported on traits. A function implemented by the
+default generation may be used to satisfy an assertion. However a default
+implementation may not be requested on a polymorphic function.
+
+It could in theory, limiting to operation based generation and using the
+operations available in the assertion list. There are a few problems:
++   Knowing the entire set of functions being generated is very useful in some
+    cases and this information is quickly lost with polymorphic functions.
++   The rules for choosing a generation method do not match how a polymorphic
+    function is selected so the results can be inconsistent.
++   It is easily to mimic with a polymorphic function already, writing out one
+    generic function and including it.
+
+Default Generation
+------------------
+
+Here are the generation methods. Unless otherwise stated they are listed in
+priority order. That is the first one mentioned that a type fits (has all the
+required operators or its form matches) will be used.
+
+The operator based constructions can be used on any sue type, those that
+require a particular kind mention that.
+
+### Constructor: ?{}
+Note that requesting any constructor to be generated counts as defining a
+constructor for purposes of disabling the implicate constructors. There are
+no operator based methods for generating constructors.
+
+For structures: For the zero argument constructor (aka the default constructor,
+which takes just a reference to the value to construct) each field is
+constructed with its zero argument constructor. For the copy constructor each
+field is copy constructed from the same field in the copied structure. For
+zero_t and one_t each field is also constructed from zero_t or one_t.
+
+For enumerations: For the zero argument constructor the value is set to 0 if
+one of the enumeration options is 0 (or set to the first value in the enum).
+For the zero_t constructor it is the same except the check is skipped (and no
+or). The copy constructor is the same as memcpy.
+
+For unions: For the zero argument constructor of a union that is constructed
+entirely of primitive types (or other types that zero argument construct to
+all 0s) the union filled with 0s. For the copy constructor of a union of types
+that all have trivial copy constructors memcpy is used.
+
+### Destructor: ^?{}
+Requesting the default destructor should be the same as having it implicitly
+defined. Destructors only have one signature and the intuitive definition for
+that is the same as without the signature.
+
+Still it should be allowed for consistency. It also allows it to be forward
+declared and then generated in a .cfa file.
+
+### Assignment: ?=?
+Default assignment is only supported between two objects of the same type.
+For structures it is field to field assignment. For enumerations and unions
+of primitives or trivially copiable types it the same as memcpy.
+
+### Equality: ?==? ?!=?
+Both equality operations can be implemented by negating the result of the
+other operations.
+
+For structures: Equality can be implement by checking equality on each pair of
+matching fields and taking the logical and of the results. Inequality can be
+implemented by checking inequality on each pair of matching fields and taking
+the logical or of the results.
+
+Both logical operations could be short circuiting. Without side effects it is
+purely an optimization.
+
+For enumerations: Both operations are the same as on the underlying integral.
+
+For unions: If it is assumed that the different branches represent different
+views of the same data and this data is primitive, than bit-wise comparisons
+can be used.
+
+### Comparison: ?<? ?>? ?<=? ?>=?
+Less than can be implemented by flipping the arguments on greater than.
+Greater than can be implemented by flipping less then. Less than or equal to
+can be implemented by flipping greater than or equal to. Greater than or equal
+to can be implemented by flipping less than or equal to.
+
+Less than or equal to can be implemented by using less than, equals and taking
+the or of the results. Greater than or equal to can be implemented by using
+greater than, equals and taking the or of the results.
+
+> The trick of negating comparisons is not used. As an example ?<? is not
+> (boolean) not ?>=? unless the type is strictly ordered. For operator based
+> overloads that might not be true in very reasonable implementations so it is
+> not assumed.
+
+Opposite less than can be implemented as less than or equal to and not equal
+to. Greater than can be implemented as greater than or equal to and not equal
+to.
+
+For enumerations: Enumerations that represent one of all operations are the
+same as on the underlying integral. Enumerations that represent a set of
+options could replace less then with subset of and greator than with superset
+of and use bit-wise masking to implement those operations.
+
+### Binary & Relative Assignment Operators: ?_? ?_=?
+This applies to each operator in the form of `T ?_?(T, T);` for some type T
+and has a matching relative assignment operator `T& ?_=?(T&, T)` where the
+`_` in both is replaced by some string of operator characters.
+
+The binary operator can be created by copying the left argument, using the
+relative assignment with the right argument and returning the updated copy.
+
+The relative assignment operator can be implemented by using the binary
+operation to create a copy, then assigning the result to the left argument.
+The left argument should then be returned. For the signature above it would
+return by reference. The signature `T ?_=?(T&, T)` could also be supported in
+which case it would return by copy.
+
+### Minus: -? ?-?
+Unary minus can be implemented by subtracting argument from the value created
+from zero_t.
+
+Binary minus can be implemented by negating (with unary minus) the right
+argument and adding the result to the left argument.
+
+### Increment & Decrement: ++? ?++ --? ?--
+Either pre- operation can implemented by applying the post- operation and then
+returning a reference to, or copy of, the updated value. Either post-
+operation can be implemented by copying the argument, applying the pre-
+operation to the original and returning the copy.
+
+Pre-increment can be implemented by using addition assignment by the value
+constructed from one_t. Pre-decrement can be implemented by using subtraction
+assignment by the value from one_t.
+
+Because many of the operations used have there own default implementations
+(for example: ?+=? from ?+? or field-wise one_t construction) this list could
+be expanded by replacing a function call with the default implementation for
+that function. This might work for the post- operations generated from
+relative assignment, the one_t constructed object and copying, but the logical
+connection becomes weaker and weaker as that process continues.
+
+### Bit Manipulation: ?|? ?&? ~? ?<<? ?>>?
+No operation based construction is provided for bit manipulation operators.
+
+For enumerations that are considered sets of flags: And returns a set with all
+flags set in both operand sets, or returns a set with all flags set that are
+set in either operand sets and not returns a set with all flags set that are
+not set in the operand set.
+
+> And it would be possible to actually implement this for any sized type and
+> just do the bitwise operation and trust the user that it makes sense if they
+> request it.
+
+Also for set enumerations, the signature `T ?<<?(one_t, unsigned)` also has
+some use, as it can be used to implement a loop that goes over each flag,
+instead of each combination of flags.
+
+### Logical Negation: !?
+Not can be implemented by negating the result of a conversion to boolean, the
+does not equal 0 test.
+
+Circular Requirements
+---------------------
+
+There are several cases where there are two operators that can be implemented
+with the other operator. If both are implemented that way calling either of
+them could result in infinite recursion.
+
+The simplest way to handle the issue would be to tell the user to not do that,
+they are responsible for providing the base operations. This is C like but is
+perhaps more error prone than it would save in work and if we do check we can
+automatically use fallbacks.
+
+Before generating any default implementations the compiler should generate
+a list of everything it has been requested and ignore any generation methods
+that would lead to chains instead of counting other defaults that could lead
+to a loop. As a further improvment this could be done selectively to break
+rings while allowing chains of non-recurive implementations.
+
+For instance if both ?==? and ?!=? are requested they cannot both be defined
+as the negation of each other. In the simple version they would both be
+generated by introspection on the declaration. With the more selective version
+one could be generated by introspection and the other by negating that result.
+
+However there are still ways to get around this by placing the function
+definitions in different translation units or defining a function that uses
+an operator that is default generated to use it. Searching for all these cases
+is probably not worth it, although checking for some might be useful warnings.
