# Module BatInt.Safe_int

    module Safe_int: sig .. end

Safe operations on integers.

This module provides operations on the type `int` of integers. Values of this type may be either 31 bits on 32-bit processors or 63 bits on 64-bit processors. Operations which overflow raise exception `Number.Overflow`.

This module implements `Number.Numeric`, `Number.Bounded`, `Number.Discrete`.

Important note Untested.

    type t = int

An alias for the type of integers.

    val zero : t

The integer `0`.

    val one : t

The integer `1`.

    val minus_one : t

The integer `-1`.

    val neg : t -> t

Unary negation.

    val add : t -> t -> t

Addition.

    val (+) : t -> t -> t

Addition.

    val sub : t -> t -> t

Substraction.

    val (-) : t -> t -> t

Substraction.

    val mul : t -> t -> t

Multiplication.

    val ( * ) : t -> t -> t

Multiplication.

    val div : t -> t -> t

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

    val (/) : t -> t -> t

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

    val rem : t -> t -> t

Integer remainder. If `y` is not zero, the result of `Int.rem x y` satisfies the following property: `x = Int.add (Int.mul (Int.div x y) y) (Int.rem x y)`.
Raises `Division_by_zero` if the second argument is zero.

    val modulo : t -> t -> t

`modulo a b` computes the remainder of the integer division of `a` by `b`. This is defined only if `b <> 0`.

The result of `modulo a b` is a number `m` between `0` and `abs ( b - 1 )` if `a >= 0` or between `~- ( abs ( b - 1 ) )` if `a < 0` and such that `a * k + (abs b) = m`, for some `k`.

    val pow : t -> t -> t

`pow a b` computes ab.
Raises `Invalid_argument` when `b` is negative.

    val ( ** ) : t -> t -> t

`a ** b` computes ab

    val (<>) : t -> t -> bool

Comparaison: `a <> b` is true if and only if `a` and `b` have different values.

    val (>) : t -> t -> bool

Comparaison: `a > b` is true if and only if `a` is strictly greater than `b`.

    val (<) : t -> t -> bool

Comparaison: `a < b` is true if and only if `a` is strictly smaller than `b`.

    val (>=) : t -> t -> bool

Comparaison: `a >= b` is true if and only if `a` is greater or equal to `b`.

    val (<=) : t -> t -> bool

Comparaison: `a <= b` is true if and only if `a` is smaller or equalto `b`.

    val (=) : t -> t -> bool

Comparaison: `a = b` if and only if `a` and `b` have the same value.

    val max_num : t

The greatest representable integer, which is either 230-1 or 262-1.

    val min_num : t

The smallest representable integer, -230 or 262.

    val succ : t -> t

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

    val pred : t -> t

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

    val abs : t -> t

Return the absolute value of its argument.

    val of_float : float -> t

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

    val to_float : t -> float

Convert the given integer to a floating-point number.

    val of_string : string -> t

Convert the given string to an 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.
Raises `Invalid_argument` 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 `int`.

    val to_string : t -> string

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

    val operations : t BatNumber.numeric

    val of_int : int -> t

    val to_int : t -> int

###### Submodules regrouping all infix operations on safe integers

    module Infix: BatNumber.Infix  with type bat__infix_t = t

    module Compare: BatNumber.Compare  with type bat__compare_t = t

###### Boilerplate code

    val print : 'a BatInnerIO.output -> t -> unit

    val compare : t -> t -> int

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

    val equal : t -> t -> bool

Equality function for integers, useful for `HashedType`.

    val ord : t -> t -> BatOrd.order