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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.

Literals for 32-bit integers are suffixed by l:

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

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

.

Same as `div`

, except that arguments and result are interpreted as *unsigned* 32-bit integers.

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`

.

Same as `rem`

, except that arguments and result are interpreted as *unsigned* 32-bit integers.

`abs x`

is the absolute value of `x`

. On `min_int`

this is `min_int`

itself and thus remains negative.

`Int32.shift_left x y`

shifts `x`

to the left by `y`

bits. The result is unspecified if `y < 0`

or `y >= 32`

.

`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`

.

`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`

.

Convert the given integer (type `int`

) to a 32-bit integer (type `int32`

). On 64-bit platforms, the argument is taken modulo 2^{32}.

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.

Same as `to_int`

, but interprets the argument as an *unsigned* integer. Returns `None`

if the unsigned value of the argument cannot fit into an `int`

.

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.

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.

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.

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

.

The comparison function for 32-bit integers, with the same specification as `Stdlib.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`

.

Same as `compare`

, except that arguments are interpreted as *unsigned* 32-bit integers.

`val seeded_hash : int -> t -> int`

A seeded hash function for 32-bit ints, with the same output value as `Hashtbl.seeded_hash`

. This function allows this module to be passed as argument to the functor `Hashtbl.MakeSeeded`

.

`val hash : t -> int`

An unseeded hash function for 32-bit ints, with the same output value as `Hashtbl.hash`

. This function allows this module to be passed as argument to the functor `Hashtbl.Make`

.

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