`type t = int`

An alias for the type of integers.

`val zero : int`

The integer `0`.

`val one : int`

The integer `1`.

`val minus_one : int`

The integer `-1`.

`val neg : int -> int`

Unary negation.

`val add : int -> int -> int`

Addition.

`val (+) : int -> int -> int`

Addition.

`val sub : int -> int -> int`

Subtraction.

`val (-) : int -> int -> int`

Subtraction.

`val mul : int -> int -> int`

Multiplication.

`val (*) : int -> int -> int`

Multiplication.

`val div : int -> int -> int`

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 (/) : int -> int -> int`

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 : int -> int -> int`

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 : int -> int -> int`

`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 : int -> int -> int`

`pow a b` computes ab.

- raises `Invalid_argument`

  when `b` is negative.

`val (**) : int -> int -> int`

`a ** b` computes ab

`val (<>) : int -> int -> bool`
`val (>) : int -> int -> bool`
`val (<) : int -> int -> bool`
`val (>=) : int -> int -> bool`
`val (<=) : int -> int -> bool`
`val (=) : int -> int -> bool`
`val min_num : int`

The smallest representable integer, -230 or -262.

`val max_num : int`

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

`val succ : int -> int`

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

`val pred : int -> int`

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

`val abs : int -> int`

Return the absolute value of its argument, except when the argument is `min_num`. In that case, `abs min_num = min_num`.

`val of_float : float -> int`

Convert the given floating-point number to integer 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 : int -> float`

Convert the given integer to a floating-point number.

`val of_string : string -> int`

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 `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 `int`.

`val to_string : int -> string`

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

`val min : int -> int -> int`

The minimum of two integers. Faster than the polymorphic `min` from the standard library.

`val max : int -> int -> int`

The maximum of two integers. Faster than the polymorphic `min` from the standard library.

`val mid : int -> int -> int`

Midpoint function; `mid a b` returns `floor((a+b)/2)`, but done correctly to compensate for numeric overflows. The result is an integer that lies between `a` and `b` and is as equidistant from both as possible.

`val popcount : int -> int`

Returns the number of 1 bits set in the binary representation of the number. Maybe has problems with negative numbers

`val copysign : int -> int -> int`

`copysign n o` multiplies `o` by the "sign" of `n`, i.e. it returns either:

- `0` if `n=0`
- `o` if `n>0`
- `-o` if `n<0`

- since 2.3.0

`val operations : int BatNumber.numeric`
`val (--) : t -> t -> t BatEnum.t`

Enumerate an interval.

`5 -- 10` is the enumeration 5,6,7,8,9,10. `10 -- 5` is the empty enumeration

`val (---) : t -> t -> t BatEnum.t`

Enumerate an interval.

`5 --- 10` is the enumeration 5,6,7,8,9,10. `10 --- 5` is the enumeration 10,9,8,7,6,5.

`val of_int : int -> int`
`val to_int : int -> int`

## Submodules regrouping all infix operations

`module Infix : BatNumber.Infix with type bat__infix_t = t`
`module Compare : BatNumber.Compare with type bat__compare_t = t`

## Boilerplate code

### Printing

`val print : 'a BatInnerIO.output -> int -> unit`

prints as decimal string

`val print_hex : 'a BatInnerIO.output -> int -> unit`

prints as hex string

### Compare

`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`
`module Safe_int : sig ... end`

Safe operations on integers.