Module CCInt64

Helpers for 64-bit integers.

This module provides operations on the type int64 of signed 64-bit integers. Unlike the built-in int type, the type int64 is guaranteed to be exactly 64-bit wide on all platforms. All arithmetic operations over int64 are taken modulo 264.

Performance notice: values of type int64 occupy more memory space than values of type int, and arithmetic operations on int64 are generally slower than those on int. Use int64 only when the application requires exact 64-bit arithmetic.

val zero : int64
val one : int64
val minus_one : int64
val neg : int64 -> int64
val add : int64 -> int64 -> int64
val sub : int64 -> int64 -> int64
val mul : int64 -> int64 -> int64
val div : int64 -> int64 -> int64
val unsigned_div : int64 -> int64 -> int64
val rem : int64 -> int64 -> int64
val unsigned_rem : int64 -> int64 -> int64
val succ : int64 -> int64
val pred : int64 -> int64
val abs : int64 -> int64
val max_int : int64
val min_int : int64
val logand : int64 -> int64 -> int64
val logor : int64 -> int64 -> int64
val logxor : int64 -> int64 -> int64
val lognot : int64 -> int64
val shift_left : int64 -> int -> int64
val shift_right : int64 -> int -> int64
val shift_right_logical : int64 -> int -> int64
val of_int : int -> int64
val to_int : int64 -> int
val unsigned_to_int : int64 -> int option
val of_float : float -> int64
val to_float : int64 -> float
val of_int32 : int32 -> int64
val to_int32 : int64 -> int32
val of_nativeint : nativeint -> int64
val to_nativeint : int64 -> nativeint
val to_string : int64 -> string
val bits_of_float : float -> int64
val float_of_bits : int64 -> float
type t = int64
val compare : t -> t -> int
val unsigned_compare : t -> t -> int
val equal : t -> t -> bool
val seeded_hash : int -> t -> int
val min : t -> t -> t

min x y returns the minimum of the two integers x and y.

  • since 3.0
val max : t -> t -> t

max x y returns the maximum of the two integers x and y.

  • since 3.0
val hash : t -> int

hash x computes the hash of x, a non-negative integer. Uses FNV since 3.10

val hash_to_int64 : t -> t

Like hash but does not truncate. Uses FNV.

  • since 3.10
val popcount : t -> int

Number of bits set to 1.

  • since 3.9
val sign : t -> int

sign x return 0 if x = 0, -1 if x < 0 and 1 if x > 0. Same as compare x zero.

  • since 3.0
val pow : t -> t -> t

pow base exponent returns base raised to the power of exponent. pow x y = x^y for positive integers x and y. Raises Invalid_argument if x = y = 0 or y < 0.

  • since 0.11
val floor_div : t -> t -> t

floor_div x n is integer division rounding towards negative infinity. It satisfies x = m * floor_div x n + rem x n.

  • since 3.0
type 'a printer = Stdlib.Format.formatter -> 'a -> unit
type 'a random_gen = Stdlib.Random.State.t -> 'a
type 'a iter = ('a -> unit) -> unit
val range_by : step:t -> t -> t -> t iter

range_by ~step i j iterates on integers from i to j included, where the difference between successive elements is step. Use a negative step for a decreasing list.

  • raises Invalid_argument

    if step=0.

  • since 3.0
val range : t -> t -> t iter

range i j iterates on integers from i to j included . It works both for decreasing and increasing ranges.

  • since 3.0
val range' : t -> t -> t iter

range' i j is like range but the second bound j is excluded. For instance range' 0 5 = Iter.of_list [0;1;2;3;4].

  • since 3.0
val random : t -> t random_gen
val random_small : t random_gen
val random_range : t -> t -> t random_gen

Conversion

val of_string : string -> t option

of_string s is the safe version of of_string_exn. Like of_string_exn, but return None instead of raising.

val of_string_opt : string -> t option

of_string_opt s is an alias to of_string.

  • since 2.1
val of_string_exn : string -> t

of_string_exn s converts the given string s into a 64-bit integer. Alias to Int64.of_string. 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*CCInt64.max_int+1]. If the input exceeds CCInt64.max_int it is converted to the signed integer CCInt64.min_int + input - CCInt64.max_int - 1.

The _ (underscore) character can appear anywhere in the string and is ignored. Raise Failure "Int64.of_string" 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 int64.

val to_string_binary : t -> string

to_string_binary x returns the string representation of the integer x, in binary.

  • since 3.0

Printing

val pp : t printer

pp ppf x prints the integer x on ppf.

  • since 3.0
val pp_binary : t printer

pp_binary ppf x prints x on ppf. Print as "0b00101010".

  • since 3.0

Infix Operators

Infix operators

module Infix : sig ... end
include module type of Infix
val (+) : t -> t -> t

x + y is the sum of x and y. Addition.

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

x - y is the difference of x and y. Subtraction.

val (~-) : t -> t

~- x is the negation of x. Unary negation.

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

x * y is the product of x and y. Multiplication.

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

x / y is the integer quotient of x and y. Integer division. Raise Division_by_zero if the second argument y is zero. This division rounds the real quotient of its arguments towards zero, as specified for Stdlib.(/).

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

x mod y is the integer remainder of x / y. If y <> zero, the result of x mod y satisfies the following properties: zero <= x mod y < abs y and x = ((x / y) * y) + (x mod y). If y = 0, x mod y raises Division_by_zero.

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

Alias to pow

  • since 3.0
val (--) : t -> t -> t iter

Alias to range.

  • since 3.0
val (--^) : t -> t -> t iter

Alias to range'.

  • since 3.0
val (land) : t -> t -> t

x land y is the bitwise logical and of x and y.

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

x lor y is the bitwise logical or of x and y.

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

x lxor y is the bitwise logical exclusive or of x and y.

val lnot : t -> t

lnot x is the bitwise logical negation of x (the bits of x are inverted).

val (lsl) : t -> int -> t

x lsl y shifts x to the left by y bits, filling in with zeroes. The result is unspecified if y < 0 or y >= 64.

val (lsr) : t -> int -> t

x lsr 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 >= 64.

val (asr) : t -> int -> t

x asr 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 >= 64.

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