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       Int32 - 32-bit integers.


       Module   Int32


       Module Int32
        : sig end

       32-bit integers.

       This  module  provides operations on the type int32 of signed 32-bit integers.  Unlike the
       built-in int type, the type  int32  is  guaranteed  to  be  exactly  32-bit  wide  on  all
       platforms.  All arithmetic operations over int32 are taken modulo 2^{32.

       Performance  notice: values of type int32 occupy more memory space than values of type int
       , and arithmetic operations on int32 are generally slower than those on int .   Use  int32
       only when the application requires exact 32-bit arithmetic.

       val zero : int32

       The 32-bit integer 0.

       val one : int32

       The 32-bit integer 1.

       val minus_one : int32

       The 32-bit integer -1.

       val neg : int32 -> int32

       Unary negation.

       val add : int32 -> int32 -> int32


       val sub : int32 -> int32 -> int32


       val mul : int32 -> int32 -> int32


       val div : int32 -> int32 -> int32

       Integer  division.   Raise Division_by_zero if the second argument is zero.  This division
       rounds the real quotient of its arguments towards zero, as specified for Pervasives.(/) .

       val rem : int32 -> int32 -> int32

       Integer remainder.  If y is not zero, the result of Int32.rem x y satisfies the  following
       property:  x  =  Int32.add  (Int32.mul  (Int32.div  x  y) y) (Int32.rem x y) .  If y = 0 ,
       Int32.rem x y raises Division_by_zero .

       val succ : int32 -> int32

       Successor.  Int32.succ x is Int32.add x .

       val pred : int32 -> int32

       Predecessor.  Int32.pred x is Int32.sub x .

       val abs : int32 -> int32

       Return the absolute value of its argument.

       val max_int : int32

       The greatest representable 32-bit integer, 2^{31 - 1.

       val min_int : int32

       The smallest representable 32-bit integer, -2^{31.

       val logand : int32 -> int32 -> int32

       Bitwise logical and.

       val logor : int32 -> int32 -> int32

       Bitwise logical or.

       val logxor : int32 -> int32 -> int32

       Bitwise logical exclusive or.

       val lognot : int32 -> int32

       Bitwise logical negation

       val shift_left : int32 -> int -> int32

       Int32.shift_left x y shifts x to the left by y bits.  The result is unspecified if y  <  0
       or y >= 32 .

       val shift_right : int32 -> int -> int32

       Int32.shift_right  x  y shifts x to the right by y bits.  This is an arithmetic shift: the
       sign bit of x is replicated and inserted in the vacated bits.  The result  is  unspecified
       if y < 0 or y >= 32 .

       val shift_right_logical : int32 -> int -> int32

       Int32.shift_right_logical  x  y shifts x to the right by y bits.  This is a logical shift:
       zeroes are inserted in the vacated bits regardless of the sign  of  x  .   The  result  is
       unspecified if y < 0 or y >= 32 .

       val of_int : int -> int32

       Convert the given integer (type int ) to a 32-bit integer (type int32 ).

       val to_int : int32 -> int

       Convert  the  given  32-bit  integer  (type  int32 ) to an integer (type int ).  On 32-bit
       platforms, the 32-bit integer is taken modulo 2^{31,  i.e.  the  high-order  bit  is  lost
       during the conversion.  On 64-bit platforms, the conversion is exact.

       val of_float : float -> int32

       Convert  the  given  floating-point  number to a 32-bit integer, discarding the fractional
       part (truncate  towards  0).   The  result  of  the  conversion  is  undefined  if,  after
       truncation, the number is outside the range [ Int32.min_int , Int32.max_int ].

       val to_float : int32 -> float

       Convert the given 32-bit integer to a floating-point number.

       val of_string : string -> int32

       Convert  the given string to a 32-bit integer.  The string is read in decimal (by default)
       or in hexadecimal, octal or binary if the string begins with 0x , 0o or  0b  respectively.
       Raise  Failure  int_of_string  if  the  given  string  is not a valid representation of an
       integer, or if the integer represented exceeds the range of integers representable in type
       int32 .

       val to_string : int32 -> string

       Return the string representation of its argument, in signed decimal.

       val bits_of_float : float -> int32

       Return  the  internal  representation  of  the  given  float  according  to  the  IEEE 754
       floating-point 'single format' bit layout.  Bit 31 of the result represents  the  sign  of
       the  float;  bits  30  to  23  represent the (biased) exponent; bits 22 to 0 represent the

       val float_of_bits : int32 -> float

       Return the floating-point number whose internal representation, according to the IEEE  754
       floating-point 'single format' bit layout, is the given int32 .

       type t = int32

       An alias for the type of 32-bit integers.

       val compare : t -> t -> int

       The   comparison   function   for   32-bit   integers,  with  the  same  specification  as .  Along with the type t , this  function  compare  allows  the  module
       Int32 to be passed as argument to the functors Set.Make and Map.Make .

       === Deprecated functions ===

       val format : string -> int32 -> string

       Do not use this deprecated function.  Instead, used Printf.sprintf with a %l...  format.