# 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 232.

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.

Literals for 32-bit integers are suffixed by l:

          let zero: int32 = 0l
          let one: int32 = 1l
          let m_one: int32 = -1l

    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

Addition.

    val sub : int32 -> int32 -> int32

Subtraction.

    val mul : int32 -> int32 -> int32

Multiplication.

    val div : int32 -> int32 -> int32

Integer division. This division rounds the real quotient of its arguments towards zero, as specified for `(/)`.

- Raises `Division_by_zero` if the second argument is zero.

    val unsigned_div : int32 -> int32 -> int32

Same as `Int32.div`, except that arguments and result are interpreted as unsigned 32-bit integers.

- Since 4.08.0

    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 unsigned_rem : int32 -> int32 -> int32

Same as `Int32.rem`, except that arguments and result are interpreted as unsigned 32-bit integers.

- Since 4.08.0

    val succ : int32 -> int32

Successor. `Int32.succ x` is `Int32.add x Int32.one`.

    val pred : int32 -> int32

Predecessor. `Int32.pred x` is `Int32.sub x Int32.one`.

    val abs : int32 -> int32

`abs x` is the absolute value of `x`. On `min_int` this is `min_int` itself and thus remains negative.

    val max_int : int32

The greatest representable 32-bit integer, 231 - 1.

    val min_int : int32

The smallest representable 32-bit integer, -231.

    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`). On 64-bit platforms, the argument is taken modulo 232.

    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 231, i.e. the high-order bit is lost during the conversion. On 64-bit platforms, the conversion is exact.

    val unsigned_to_int : int32 -> int option

Same as `Int32.to_int`, but interprets the argument as an unsigned integer. Returns `None` if the unsigned value of the argument cannot fit into an `int`.

- Since 4.08.0

    val of_float : float -> int32

Convert the given floating-point number to a 32-bit integer, discarding the fractional part (truncate towards 0). If the truncated floating-point number is outside the range [`Int32.min_int`, `Int32.max_int`], no exception is raised, and an unspecified, platform-dependent integer is returned.

    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 if the string begins with `0u`) or in hexadecimal, octal or binary if the string begins with `0x`, `0o` or `0b` respectively.

The `0u` prefix reads the input as an unsigned integer in the range `[0, 2*Int32.max_int+1]`. If the input exceeds `Int32.max_int` it is converted to the signed integer `Int32.min_int + input - Int32.max_int - 1`.

The `_` (underscore) character can appear anywhere in the string and is ignored.

- Raises `Failure` 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 of_string_opt : string -> int32 option

Same as `of_string`, but return `None` instead of raising.

- Since 4.05

    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 mantissa.

    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 `compare`. 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`.

    val unsigned_compare : t -> t -> int

Same as `Int32.compare`, except that arguments are interpreted as unsigned 32-bit integers.

- Since 4.08.0

    val equal : t -> t -> bool

The equal function for int32s.

- Since 4.03.0

    val min : t -> t -> t

Return the smaller of the two arguments.

- Since 4.13.0

    val max : t -> t -> t

Return the greater of the two arguments.

- Since 4.13.0