______________________________________________________________________

  4   Standard conversions                              [conv]

  ______________________________________________________________________

1 Standard conversions are implicit  conversions  defined  for  built-in
  types.  The full set of such conversions is enumerated in this clause.
  A standard conversion sequence is a sequence of  standard  conversions
  in the following order:

  --Zero or one conversion from the following set: lvalue-to-rvalue con­
    version, array-to-pointer conversion, and  function-to-pointer  con­
    version.

  --Zero  or one conversion from the following set: integral promotions,
    floating point promotion, integral conversions, floating point  con­
    versions,   floating-integral   conversions,   pointer  conversions,
    pointer to member conversions, base class conversions,  and  boolean
    conversions.

  --Zero or one qualification conversion.

  [Note:  a standard conversion sequence can be empty, i.e., it can con­
  sist of no conversions.  ] A  standard  conversion  sequence  will  be
  applied to an expression if necessary to convert it to a required des­
  tination type.

2 [Note: Expressions with a given type will be implicitly  converted  to
  other types in several contexts:

  --When used as operands of operators.  The operator's requirements for
    its operands dictate the destination type.  See _expr_.

  --When used in the condition of an if statement or iteration statement
    (_stmt.select_, _stmt.iter_).  The destination type is bool.

  --When  used in the expression of a switch statement.  The destination
    type is integral (_stmt.select_).

  --When used as the source  expression  for  an  initialization  (which
    includes  use  as  an  argument  in  a  function call and use as the
    expression in a return statement).  The type  of  the  entity  being
    initialized  is  (generally)  the destination type.  See _dcl.init_,
    _dcl.init.ref_.

   --end note]

3 An expression e can be implicitly converted to a type T if and only if
  the  declaration  T t(e);" is well-formed, for some invented temporary
  variable t (_dcl.init_).  The effect of the implicit conversion is the
  same  as  performing the declaration and initialization and then using
  the temporary variable as the result of the conversion.  The result is
  an  lvalue  if T is a reference type (_dcl.ref_), and an rvalue other­
  wise.  The expression e is used as an lvalue if and only if the decla­
  ration uses it as an lvalue.

  +-------                 BEGIN BOX 1                -------+
  This  needs  to  say that explicit constructors are not considered for
  implicit conversions.
  +-------                  END BOX 1                 -------+

4 [Note: For user-defined types, user-defined conversions are considered
  as  well;  see  _class.conv_.   In  general,  an  implicit  conversion
  sequence (_over.best.ics_) consists of a standard conversion  sequence
  followed  by  a  user-defined  conversion followed by another standard
  conversion sequence.

5 There are some contexts where certain conversions are suppressed.  For
  example, the lvalue-to-rvalue conversion is not done on the operand of
  the unary & operator.  Specific exceptions are given in  the  descrip­
  tions of those operators and contexts.   --end note]

  4.1  Lvalue-to-rvalue conversion                           [conv.lval]

1 An  lvalue  (_basic.lval_)  of a non-function, non-array type T can be
  converted to an rvalue.  If T is an incomplete type,  a  program  that
  necessitates this conversion is ill-formed.  If T is a non-class type,
  the type of the rvalue is the cv-unqualified version of T.   Otherwise
  (i.e., T is a class type), the type of the rvalue is T.  1)

2 The  value  contained  in  the  object  indicated by the lvalue is the
  rvalue result.  When an lvalue-to-rvalue conversion is done within the
  operand  of  sizeof  (_expr.sizeof_) the value contained in the refer­
  enced object is not accessed, since that operator  does  not  evaluate
  its operand.

3 [Note: See also _basic.lval_.  ]

  4.2  Array-to-pointer conversion                          [conv.array]

1 An  lvalue or rvalue of type "array of N T" or "array of unknown bound
  of T" can be converted to an rvalue  of  type  "pointer  to  T."   The
  result is a pointer to the first element of the array.

  _________________________
  1)  In C++ class rvalues can have cv-qualified types (because they are
  objects).  This differs from ISO C, in which  non-lvalues  never  have
  cv-qualified types.

  4.3  Function-to-pointer conversion                        [conv.func]

1 An  lvalue  of  function  type T can be converted to an rvalue of type
  "pointer to T."  The result is a pointer to the function.2)

2 [Note:  See  _over.over_  for  additional rules for the case where the
  function is overloaded.  ]

  4.4  Qualification conversions                             [conv.qual]

1 An rvalue of type "pointer to cv1 T" can be converted to an rvalue  of
  type  "pointer to cv2 T" if "cv2 T" is more cv-qualified than "cv1 T."

2 An rvalue of type "pointer to member of X of type cv1 T" can  be  con­
  verted  to an rvalue of type "pointer to member of X of type cv2 T" if
  "cv2 T" is more cv-qualified than "cv1 T."

3 A conversion can add type qualifiers at levels other than the first in
  multi-level pointers, subject to the following rules:3)
    Two pointer types T1 and T2 are similar if there exists a type T and
    integer N>0 such that:

            T1 is Tcv1,n * ... cv1,1 * cv1,0
    and

            T2 is Tcv2,n * ... cv2,1 * cv2,0
    where each cvi,j is const, volatile, const volatile, or nothing.  An
    expression of type T1 can be converted to type T2 if and only if the
    following conditions are satisfied:

      --the pointer types are similar.

      --for  every j>0, if const is in cv1,j then const is in cv2,j, and
        similarly for volatile.

      --if the cv1,j and cv2,j are different, then  const  is  in  every
        cv2,k for 0<k<j.

4 When  a  multi-level pointer is composed of data member pointers, or a
  mix of object and data member pointers,  the  rules  for  adding  type
  qualifiers are the same as those for object pointers.  [Note: that is,
  the "member" aspect of the pointers is irrelevant in determining where
  type qualifiers can be added.  ]

  _________________________
  2) This conversion never applies to nonstatic member functions because
  there is no way to obtain an lvalue for a nonstatic member function.
  3)  These  rules  ensure that const-safety is preserved by the conver­
  sion.

  4.5  Integral promotions                                   [conv.prom]

1 An  rvalue  of  type  char,  signed char, unsigned char, short int, or
  unsigned short int can be converted to an rvalue of type  int  if  int
  can represent all the values of the source type; otherwise, the source
  rvalue can be converted to an rvalue of type unsigned int.

2 An rvalue of type wchar_t (_basic.fundamental_) or an enumeration type
  (_dcl.enum_) can be converted to an rvalue of the first of the follow­
  ing types that can represent all the values of the source  type:  int,
  unsigned int, long, or unsigned long.

3 An  rvalue for an integral bit-field (_class.bit_) can be converted to
  an rvalue of type int if int can represent all the values of the  bit-
  field;  otherwise, it can be converted to unsigned int if unsigned int
  can represent all the values of the bit-field4).

4 An rvalue of type bool can be converted to an rvalue of type int, with
  false becoming zero and true becoming one.

5 These conversions are called integral promotions.

  4.6  Floating point promotion                            [conv.fpprom]

1 An  rvalue of type float can be converted to an rvalue of type double.
  The value is unchanged.

2 This conversion is called floating point promotion.

  4.7  Integral conversions                              [conv.integral]

1 An rvalue of an integer type can be converted to an rvalue of  another
  integer type.  An rvalue of an enumeration type can be converted to an
  rvalue of an integer type.

2 If the destination type is unsigned, the resulting value is the  least
  unsigned integer congruent to the source integer (modulo 2n where n is
  the number of bits used to represent the unsigned type).  [Note: In  a
  two's  complement  representation,  this  conversion is conceptual and
  there is no change in the bit pattern (if there is no truncation).  ]

3 If the destination type is signed, the value is unchanged if it can be
  represented  in  the destination type (and bitfield width); otherwise,
  the value is implementation-defined.

4 If the destination type is bool, see _conv.bool_.  If the source  type
  is  bool,  the  value false is converted to zero and the value true is
  converted to one.
  _________________________
  4) If the bit-field is larger yet, it is  not  eligible  for  integral
  promotion.   If the bit-field has an enumerated type, it is treated as
  any other value of that type for promotion purposes.

5 The conversions allowed as integral promotions are excluded  from  the
  set of integral conversions.

  4.8  Floating point conversions                          [conv.double]

1 An  rvalue  of  floating  point  type can be converted to an rvalue of
  another floating point type.  If the source value can be exactly  rep­
  resented in the destination type, the result of the conversion is that
  exact representation.  If the source value  is  between  two  adjacent
  destination  values,  the  result  of the conversion is an unspecified
  choice of either of those values.  Otherwise, the  behavior  is  unde­
  fined.

2 The conversions allowed as floating point promotions are excluded from
  the set of floating point conversions.

  4.9  Floating-integral conversions                        [conv.fpint]

1 An rvalue of a floating point type can be converted to an rvalue of an
  integer  type.  The conversion truncates; that is, the fractional part
  is discarded.  The behavior is undefined if the truncated value cannot
  be  represented  in  the  destination type.  [Note: If the destination
  type is bool, see _conv.bool_.  ]

2 An rvalue of an integer type can be converted to an rvalue of a float­
  ing point type.  The result is exact if possible.  Otherwise, it is an
  unspecified choice of either the next lower  or  higher  representable
  value.   Loss of precision occurs if the integral value cannot be rep­
  resented exactly as a value of the floating type.  If the source  type
  is  bool,  the  value false is converted to zero and the value true is
  converted to one.

  4.10  Pointer conversions                                   [conv.ptr]

1 An integral constant expression (_expr.const_) rvalue  that  evaluates
  to zero (called a null pointer constant) can be converted to a pointer
  type.  The result is a value (called the null pointer  value  of  that
  type)  distinguishable  from  every  pointer to an object or function.
  Two null pointer values of a given type compare equal.

2 An rvalue of type "pointer to cv T," where T is an object type, can be
  converted  to  an  rvalue of type "pointer to cv void."  The result of
  converting a "pointer to cv T" to a "pointer to cv void" points to the
  start  of  the storage location where the object of type T resides, as
  if the object is a complete object of type T  (that  is,  not  a  base
  class subobject).

3 An  rvalue  of type "pointer to cv D," where D is a class type, can be
  converted to an rvalue of type "pointer to cv B," where B  is  a  base
  class   (_class.derived_)   of   D.    If   B   is   an   inaccessible
  (_class.access_) or ambiguous (_class.member.lookup_) base class of D,
  a program that necessitates this conversion is ill-formed.  The result
  of the conversion is a pointer to the base  class  sub-object  of  the

  derived class object.  The null pointer value is converted to the null
  pointer value of the destination type.

  4.11  Pointer to member conversions                         [conv.mem]

1 A null pointer constant (_conv.ptr_) can be converted to a pointer  to
  member  type.   The  result is a value (called the null member pointer
  value of that type) distinguishable from a pointer to any member.  Two
  null member pointer values of a given type compare equal.

2 An  rvalue of type "pointer to member of B of type cv T," where B is a
  class type, can be converted to an rvalue of type "pointer  to  member
  of D of type cv T," where D is a derived class (_class.derived_) of B.
  If   B   is   an   inaccessible    (_class.access_)    or    ambiguous
  (_class.member.lookup_)  base  class of D, a program that necessitates
  this conversion is ill-formed.  The result of the conversion refers to
  the  same  member  as the pointer to member before the conversion took
  place, but it refers to the base class member as if it were  a  member
  of the derived class.  The result refers to the member in D's instance
  of B.  Since the result has type "pointer  to  member  of  D  of  type
  cv T," it can be dereferenced with a D object.  The result is the same
  as if the pointer to member of B were dereferenced  with  the  B  sub-
  object  of  D.  The null member pointer value is converted to the null
  member pointer value of the destination type.5)

  4.12  Base class conversion                               [conv.class]

1 An rvalue of type "cv D," where D is a class type, can be converted to
  an rvalue of type "cv B," where B is a base class (_class.derived_) of
  D.    If   B   is   an   inaccessible  (_class.access_)  or  ambiguous
  (_class.member.lookup_) base class of  D,  or  if  the  conversion  is
  implemented  by calling a constructor (_class.conv.ctor_) and the con­
  structor is not callable, a program that necessitates this  conversion
  is  ill-formed.  The result of the conversion is the value of the base
  class sub-object of the derived class object.

  4.13  Boolean conversions                                  [conv.bool]

1 An rvalue of arithmetic, enumeration, pointer, or  pointer  to  member
  type  can  be converted to an rvalue of type bool.  A zero value, null
  pointer value, or null member pointer value is converted to false; any
  other value is converted to true.

  _________________________
  5) The rule for conversion of pointers to  members  (from  pointer  to
  member  of base to pointer to member of derived) appears inverted com­
  pared to the rule for pointers to objects (from pointer to derived  to
  pointer  to  base)  (_conv.ptr_,  _class.derived_).  This inversion is
  necessary to ensure type safety.  Note that a pointer to member is not
  a pointer to object or a pointer to function and the rules for conver­
  sions of such pointers do not apply to pointers to members.   In  par­
  ticular, a pointer to member cannot be converted to a void*.