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PASCAL, Data Types, Ordinal

 *Conan The Librarian (sorry for the slow response - running on an old VAX)

  The values in an ordinal type have a  one-to-one  correspondence
  with  the  set  of positive integers.  The values are ordered so
  that each has a unique ordinal value indicating its position  in
  a list of values of that type.

  1 - INTEGER Types

  Compaq Pascal provides the INTEGER, INTEGER64 (not available  on
  all  systems)  integer  types.   Also provided are the INTEGER8,
  INTEGER16, and INTEGER32 types, which are used as  synonyms  for
  subranges of the INTEGER type.

  The range of integer values consists of  positive  and  negative
  integer  values and of the value 0.  The range boundaries depend
  on the architecture of the machine you are using.

  The largest possible value of the INTEGER type is represented by
  the predeclared constant MAXINT.

  The largest possible value of the INTEGER64 type is  represented
  by the predeclared constant MAXINT64.

 1.1 - Standard Int Radix

  Extended digit notation allows you to express integer values  in
  terms  of a base number.  Compaq Pascal accepts numbers in bases
  2 through 36.

  Syntax:

     [[ + | - ]] base-number#[[']]extended-digit[[']]

  The 'base-number' specifies the base of the number.

  The 'extended-digit' specifies the notation that is  appropriate
  for the specified base.

  You can use extended-digit notation in the same way you use  the
  conventional integer notation, with the following exceptions:

   o  Extended-digit values cannot be used as labels.

   o  Extended-digit notation for INTEGER objects cannot  be  used
      to  express  numbers  outside the range of 0 to MAXINT.  (To
      express signed numbers, place the unary plus operator (+) or
      the  unary  minus  operator  (-)  in  front of the notation;
      setting or clearing the high order bit does not set or clear
      the sign bit.)

  Compaq Pascal allows the use of spaces  and  tabs  to  make  the
  extended-digit notation easier to read.  To use spaces and tabs,
  enclose the extended digit in single quotation marks (' ').  The
  following are integer values in the extended-digit notation:

       2#10000011
       2#'1000 0011'
      32#1J
     -16#'7FFF FFFF'

 1.2 - Nonstandard Int Radix

  Compaq Pascal provides another extended integer  convention  for
  compatibility  with  previous  versions  of  the language.  This
  notation specifies an integer in either binary (base  2),  octal
  (base 8), or hexadecimal (base 16) notation.

  Syntax:
                   b
     [[ + | - ]] % o [[']]extended-digit[[']]
                   x

  The 'b', 'o', or 'x' specifies  binary,  octal,  or  hexidecimal
  notation, respectively.

  The 'extended-digit' specifies the notation that is  appropriate
  for the specified base.

  The following are extended integer values in the  Compaq  Pascal
  specific notation:

     %b'1000 0011'
     %O'7712'
    -%x'DEC'

  2 - INTEGER_ADDRESS

  The INTEGER_ADDRESS predefined type is an integer that  has  the
  same  underlying  bit  size  as  a pointer.  On OpenVMS systems,
  INTEGER_ADDRESS is equivalent to INTEGER32.

  3 - INTEGER8

  The INTEGER8 predefined type is equivalent to the following:

  Syntax:

     TYPE INTEGER8=[BYTE]-128..127;{ 16#80..16#7F}

  4 - INTEGER16

  The INTEGER16 predefined type is equivalent to the following:

  Syntax:

     TYPE INTEGER16=[WORD]-32768..32767;{ 16#8000..16#7FFF }

  5 - INTEGER32

  The INTEGER32 predefined type is equivalent to the following:

  Syntax:

     TYPE INTEGER32=[LONG]-2147483648..2147483647;{ 16#80000000..16#7FFFFFFF }

  6 - INTEGER64

  The INTEGER64 predefined type is equivalent to the following:

  Syntax:

     INTEGER64=[QUAD]-9223372036854775808..9223372036854775807;
                            { 16#8000000000000000..16#7FFFFFFFFFFFFFFF }

  The INTEGER64 predefined type is not available  on  OpenVMS  VAX
  systems.

  7 - UNSIGNED Types

  Compaq Pascal provides the UNSIGNED and  UNSIGNED64  types  (not
  available  on  all  systems).   Also provided are the UNSIGNED8,
  UNSIGNED16, UNSIGNED32,  CARDINAL,  CARDINAL16,  and  CARDINAL32
  types,  which  are  used as synonyms for the UNSIGNED type.  The
  range of unsigned values consists of nonnegative integer values.

  The  largest  possible  value  of  the  UNSIGNED  data  type  is
  represented by the predefined constant MAXUNSIGNED.

  The largest value for the UNSIGNED64 data type is represented by
  the predefined constant MAXUNSIGNED64.

  The smallest possible value for the UNSIGNED data type is 0.

  8 - Standard Uns Radix

  Extended digit notation allows you to express  unsigned  integer
  values in terms of a base number.  Compaq Pascal accepts numbers
  in bases 2 through 36.

  Syntax:

     [[ + | - ]] base-number#[[']]extended-digit[[']]

  The 'base-number' specifies the base of the number.

  The 'extended-digit' specifies the notation that is  appropriate
  for the specified base.

  You can use extended-digit notation in the same way you use  the
  conventional    unsigned    integer    notation,   except   that
  extended-digit values cannot be used as labels.

  Compaq Pascal allows the use of spaces  and  tabs  to  make  the
  extended-digit notation easier to read.  To use spaces and tabs,
  enclose the extended digit in single quotation marks (' ').  The
  following  are  unsigned  integer  values  in the extended-digit
  notation:

       16#80000000
       16#'8000 0000'
       16#'FFFF FFFF'

 8.1 - Nonstandard Uns Radix

  Compaq Pascal provides another extended integer convention  only
  for  the  sake  of  compatibility  with previous versions of the
  language.  This notation specifies an unsigned integer in either
  binary  (base  2),  octal  (base  8),  or  hexadecimal (base 16)
  notation.

  Syntax:
                   b
     [[ + | - ]] % o [[']]extended-digit[[']]
                   x

  The 'b', 'o', or 'x' specifies  binary,  octal,  or  hexidecimal
  notation, respectively.

  The 'extended-digit' specifies the notation that is  appropriate
  for the specified base.

  The following are unsigned integer values in the  Compaq  Pascal
  specific notation:

     %x'8000 0000'
     %x'FFFF FFFF'

  9 - UNSIGNED8

  The UNSIGNED8 data type is equivalent to the following:

  Syntax:

     TYPE UNSIGNED8 = [BYTE]UINT(0)..UINT(255); {0..16#FF}

  10 - UNSIGNED16

  The UNSIGNED16 data type is equivalent to the following:

  Syntax:

     TYPE UNSIGNED16 = [WORD]UINT(0)..UINT(65535); {0..16#FFFF}

  11 - UNSIGNED32

  The UNSIGNED32 data type is equivalent to the following:

  Syntax:

     TYPE UNSIGNED32 = [LONG]UINT(0)..UINT(4294967295); {0..16#FFFFFFFF}

  12 - UNSIGNED64

  The UNSIGNED64 data type is equivalent to the following (OpenVMS
  Alpha systems only):

  Syntax:

     TYPE UNSIGNED64 = [QUAD]UINT(0)..UINT(18446744073709551615);
                                              {0..16#FFFFFFFFFFFFFFFF}

  13 - CHAR

  The CHAR data type consists of single character values from  the
  ASCII  character  set.   The  largest possible value of the CHAR
  data type is the predefined constant MAXCHAR.

  To specify a  character  constant,  enclose  a  printable  ASCII
  character   in   single   quotation   marks.    To  specify  the
  single-quote character, enclose two single  quotation  marks  in
  single  quotation  marks.   Each  of  the  following  is a valid
  character constant:

     'A'
     '0'     {This is character 0, not the integer value 0}
     ''''    {The apostrophe character}
     '?'

  You   can   specify   nonprinting   characters,   such   as    a
  control-character,   by   writing   an   empty  string  followed
  immediately by the ordinal value of the character in  the  ASCII
  character  set,  or  by  using  the CHR function followed by the
  ordinal value of the character in the ASCII character set.   For
  example,   both  of  the  following  specify  the  bell  control
  character:

     ''(7)
     CHR(7)

  14 - Boolean

  Boolean values are the result of testing relationships for truth
  or  validity.   The  Boolean  data  type  consists  of  the  two
  predeclared identifiers FALSE and TRUE.  The expression
  ORD(FALSE) results in the value 0; ORD(TRUE) returns the integer
  1.

  15 - Enumerated

  An enumerated type is a user-defined  ordered  set  of  constant
  values specified by identifiers.

  Syntax:

     ({enumerated-identifier},...)

  The 'enumerated-identifier' is an identifier of  the  enumerated
  type  being  defined.   Compaq Pascal allows a maximum of 65,535
  identifiers in an enumerated type.

  The values of an enumerated type begin  with  the  value  0  and
  follow  a  left-to-right  order.   Subsequent identifiers have a
  value one greater than the identifier preceding it.

  Example:  X : ( Spring, Summer, Fall, Winter )

  In this enumerated type, Spring (value 0) and Summer  (value  1)
  are  less  than  Fall (value 2) because they precede Fall in the
  list of constant values.  Winter (value 3) is greater than  Fall
  because it follows Fall.

  An identifier in an enumerated type cannot be  defined  for  any
  other purpose in the same block.

  16 - Subrange

  A subrange type is user-defined and specifies a limited  portion
  of  another  ordinal  type (called the base type).  The subrange
  syntax indicates the lower and upper limits of the type.

  Syntax:

     lower-bound..upper-bound

  The  'lower-bound'  is  a  constant  expression  or   a   formal
  discriminant  identifier that establishes the lower limit of the
  subrange.

  The  'upper-bound'  is  a  constant  expression  or   a   formal
  discriminant  identifier that establishes the upper limit of the
  subrange.  The value of the upper bound must be greater than  or
  equal to the value of the lower bound.

  The base type can be any enumerated or predefined ordinal  type.
  The values in the subrange type appear in the same order as they
  are in the base type.  For  instance,  the  result  of  the  ORD
  function  applied  to  a value of a subrange type is the ordinal
  value that is associated with the relative position of the value
  in the base type, not in the subrange type.

  You can use a subrange type anywhere in a program that its  base
  type  is  legal.   A  value of a subrange type is converted to a
  value of its base type before it is used in an  operation.   All
  rules  that  govern  the operations performed on an ordinal type
  pertain to subranges of that type.

  Example:  TYPE
               Day = ( Mon, Tues, Wed, Thurs, Fri, Sat, Sun );
               Weekday = Mon..Fri;    {subrange of base type Day}
               Digit = '0'..'9';      {subrange of base type CHAR}
               Month = 1 .. 31;       {subrange of base type INTEGER}

  On OpenVMS Alpha systems, you can specify the  size  of  INTEGER
  and  UNSIGNED subranges to be larger than 32-bits, but less than
  or equal to 64-bits.  For example:

     TYPE $BIT43=[BIT(43)]0..8796093022208;
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