Module Int63.Boxed

An implementation of 63-bit integers that always uses a boxed representation regardless of word size.

type t
val zero : t

Integer 0.

val one : t

Integer 1.

val minus_one : t

Integer (-1).

val neg : t -> t

Unary negation.

val add : t -> t -> t

Addition.

val sub : t -> t -> t

Subtraction.

val mul : t -> t -> t

Mulitplication.

val div : t -> t -> t

Integer division. Raise Division_by_zero if the second argument is zero. This division rounds the real quotient of its arguments towrds zero.

val rem : t -> t -> t

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

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 its argument.

val max_int : t

The greatest representable integer.

val min_int : t

The smallest representable integer.

val logand : t -> t -> t

Bitwise logical and.

val logor : t -> t -> t

Bitwise logical or.

val logxor : t -> t -> t

Bitwise logical exclusive or.

val lognot : t -> t

Bitwise logical negation.

val shift_left : t -> int -> t

shift_left x y shifts x to the left by y bits. The result is unspecified if y < 0 or y >= (32 || 63).

val shift_right : t -> int -> t

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 || 63).

val shift_right_logical : t -> int -> t

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 || 63).

val of_int : int -> t

Convert the given integer (type int ) to t. It's an unsafe function whose semantic is different from architecture.

val to_int : t -> int

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

val of_int32 : int32 -> t

Convert the given 32-bit integer (type int32) to t integer. It's an unsafe function whose semantic is different from architecture.

val to_int32 : t -> int32

Convert the given t integer to a 32-bit integer.

val of_int64 : int64 -> t

Convert the given 64-bit integer (type int64) to t integer.

val to_int64 : t -> int64

Covert the given t integer to a 64-bit integer.

val of_float : float -> t

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

val to_float : t -> float

Convert the given t integer to a floating-point number.

val of_string : string -> t

Convert the given string to a t 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 * max_int + 1]. If the input exceeds max_int it is converted to the signed integer min_int + input - max_int - 1.

The _ (underscore) character can appear anywhere in the string is ignored. Raise Failure _ if the given string is not a valid representation of an integer, or if the integer represented exceeds the range of integer, or if the integer represented exceeds the range of integers representable in type t.

val of_string_opt : string -> t option

Same as of_string, but return None instead of raising.

val to_string : t -> string

Return the string representation of its argument, in decimal.

val compare : t -> t -> int

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

val equal : t -> t -> bool

The equal function for t.

val pp : Format.formatter -> t -> unit

The pretty-printer for t.

Encoding functions

Efficient fixed-length big-endian encoding functions for t integers:

val encode : bytes -> off:int -> t -> unit
val decode : string -> off:int -> t
val encoded_size : int

The number of bytes in the encoded form of t.

val to_unsigned_int32 : t -> int32
val of_unsigned_int32 : int32 -> t
val to_unsigned_int : t -> int
val of_unsigned_int : int -> t
module Infix : sig ... end