Module Base.Int63

63-bit integers.

The size of Int63 is always 63 bits. On a 64-bit platform it is just an int (63-bits), and on a 32-bit platform it is an int64 wrapped to respect the semantic of 63bit integers.

Because Int63 has different representations on 32-bit and 64-bit platforms, marshalling Int63 will not work between 32-bit and 64-bit platforms. unmarshal will segfault.

In 64bit architectures, we expose type t = private int so that the compiler can omit caml_modify when dealing with record fields holding Int63.t. Code should not explicitly make use of the private, e.g. via (i :> int), since such code will not compile on 32-bit platforms.

include Int_intf.S with type t = Base__.Int63_backend.t
include Int_intf.S_common
type t
include sig ... end
val hash_fold_t : Hash.state ‑> t ‑> Hash.state
val hash : t ‑> Hash.hash_value
val t_of_sexp : Sexp.t ‑> t
val sexp_of_t : t ‑> Sexp.t
include Floatable.S with type t := t
type t
val of_float : float ‑> t
val to_float : t ‑> float
include Intable.S with type t := t
type t
val of_int_exn : int ‑> t
val to_int_exn : t ‑> int
include Identifiable.S with type t := t
type t
include sig ... end
val hash_fold_t : Hash.state ‑> t ‑> Hash.state
val hash : t ‑> Hash.hash_value
val t_of_sexp : Sexp.t ‑> t
val sexp_of_t : t ‑> Sexp.t
include Stringable.S with type t := t
type t
val of_string : string ‑> t
val to_string : t ‑> string
include Comparable.S with type t := t
include Comparable_intf.Polymorphic_compare
include Comparisons.Infix
type t
val (>=) : t ‑> t ‑> bool
val (<=) : t ‑> t ‑> bool
val (=) : t ‑> t ‑> bool
val (>) : t ‑> t ‑> bool
val (<) : t ‑> t ‑> bool
val (<>) : t ‑> t ‑> bool
val equal : t ‑> t ‑> bool
val compare : t ‑> t ‑> int

compare t1 t2 returns 0 if t1 is equal to t2, a negative integer if t1 is less than t2, and a positive integer if t1 is greater than t2.

val min : t ‑> t ‑> t
val max : t ‑> t ‑> t
val ascending : t ‑> t ‑> int

ascending is identical to compare. descending x y = ascending y x. These are intended to be mnemonic when used like List.sort ~cmp:ascending and List.sort ~cmp:descending, since they cause the list to be sorted in ascending or descending order, respectively.

val descending : t ‑> t ‑> int
val between : t ‑> low:t ‑> high:t ‑> bool
val clamp_exn : t ‑> min:t ‑> max:t ‑> t

clamp_exn t ~min ~max returns t', the closest value to t such that between t' ~low:min ~high:max is true.

Raises if not (min <= max).

val clamp : t ‑> min:t ‑> max:t ‑> t Or_error.t
include Comparator.S with type t := t
type t
type comparator_witness
include Comparable_intf.Validate with type t := t
type t
val validate_lbound : min:t Maybe_bound.t ‑> t Validate.check
val validate_ubound : max:t Maybe_bound.t ‑> t Validate.check
val validate_bound : min:t Maybe_bound.t ‑> max:t Maybe_bound.t ‑> t Validate.check
include Pretty_printer.S with type t := t
type t
val pp : Caml.Format.formatter ‑> t ‑> unit
include Comparable.With_zero with type t := t
type t
val validate_positive : t Validate.check
val validate_non_negative : t Validate.check
val validate_negative : t Validate.check
val validate_non_positive : t Validate.check
val is_positive : t ‑> bool
val is_non_negative : t ‑> bool
val is_negative : t ‑> bool
val is_non_positive : t ‑> bool
val sign : t ‑> Base__.Sign0.t

Returns Neg, Zero, or Pos in a way consistent with the above functions.

include Int_intf.Hexable with type t := t
type t
module Hex : sig ... end
val to_string_hum : ?⁠delimiter:char ‑> t ‑> string

delimiter is underscore by default

Infix operators and constants
val zero : t
val one : t
val minus_one : t
val (+) : t ‑> t ‑> t
val (-) : t ‑> t ‑> t
val (*) : t ‑> t ‑> t
val neg : t ‑> t

Negation

val (~-) : t ‑> t
val (/%) : t ‑> t ‑> t

There are two pairs of integer division and remainder functions, /% and %, and / and rem. They both satisfy the same equation relating the quotient and the remainder:

        x = (x /% y) * y + (x % y);
        x = (x /  y) * y + (rem x y);

The functions return the same values if x and y are positive. They all raise if y = 0.

The functions differ if x < 0 or y < 0.

If y < 0, then % and /% raise, whereas / and rem do not.

x % y always returns a value between 0 and y - 1, even when x < 0. On the other hand, rem x y returns a negative value if and only if x < 0; that value satisfies abs (rem x y) <= abs y - 1.

val (%) : t ‑> t ‑> t
val (/) : t ‑> t ‑> t
val rem : t ‑> t ‑> t
val (//) : t ‑> t ‑> float

float division of integers

val (land) : t ‑> t ‑> t

Same as bit_and

val (lor) : t ‑> t ‑> t

Same as bit_or

val (lxor) : t ‑> t ‑> t

Same as bit_xor

val (lnot) : t ‑> t

Same as bit_not

val (lsl) : t ‑> int ‑> t

Same as shift_left

val (asr) : t ‑> int ‑> t

Same as shift_right

Successor and predecessor functions
val succ : t ‑> t
val pred : t ‑> t
include Int_intf.Round with type t := t
type t

round rounds an int to a multiple of a given to_multiple_of argument, according to a direction dir, with default dir being `Nearest. round will raise if to_multiple_of <= 0.

       | `Down    | rounds toward Int.neg_infinity                          |
       | `Up      | rounds toward Int.infinity                              |
       | `Nearest | rounds to the nearest multiple, or `Up in case of a tie |
       | `Zero    | rounds toward zero                                      |

Here are some examples for round ~to_multiple_of:10 for each direction:

       | `Down    | {10 .. 19} --> 10 | { 0 ... 9} --> 0 | {-10 ... -1} --> -10 |
       | `Up      | { 1 .. 10} --> 10 | {-9 ... 0} --> 0 | {-19 .. -10} --> -10 |
       | `Zero    | {10 .. 19} --> 10 | {-9 ... 9} --> 0 | {-19 .. -10} --> -10 |
       | `Nearest | { 5 .. 14} --> 10 | {-5 ... 4} --> 0 | {-15 ... -6} --> -10 |

For convenience and performance, there are variants of round with dir hard-coded. If you are writing performance-critical code you should use these.

val round : ?⁠dir:[ `Zero | `Nearest | `Up | `Down ] ‑> t ‑> to_multiple_of:t ‑> t
val round_towards_zero : t ‑> to_multiple_of:t ‑> t
val round_down : t ‑> to_multiple_of:t ‑> t
val round_up : t ‑> to_multiple_of:t ‑> t
val round_nearest : t ‑> to_multiple_of:t ‑> t
val abs : t ‑> t

Returns the absolute value of the argument. May be negative if the input is min_value

Exponentiation
val pow : t ‑> t ‑> t

pow base exponent returns base raised to the power of exponent. It is OK if base <= 0. pow raises if exponent < 0, or an integer overflow would occur.

Bit-wise logical operations
val bit_and : t ‑> t ‑> t
val bit_or : t ‑> t ‑> t
val bit_xor : t ‑> t ‑> t
val bit_not : t ‑> t
val popcount : t ‑> int

returns the number of 1 bits in the binary representation of the input

Bit-shifting operations

The results are unspecified for negative shifts and shifts >= num_bits

val shift_left : t ‑> int ‑> t

shifts left, filling in with zeroes

val shift_right : t ‑> int ‑> t

shifts right, preserving the sign of the input.

Increment and decrement functions for integer references
val decr : t Base__.Import.ref ‑> unit
val incr : t Base__.Import.ref ‑> unit
Conversion functions to related integer types
val of_int32_exn : int32 ‑> t
val to_int32_exn : t ‑> int32
val of_int64_exn : int64 ‑> t
val to_int64 : t ‑> int64
val of_nativeint_exn : nativeint ‑> t
val to_nativeint_exn : t ‑> nativeint
val of_float_unchecked : float ‑> t

of_float_unchecked truncates the given floating point number to an integer, rounding towards zero. The result is unspecified if the argument is nan or falls outside the range of representable integers.

val num_bits : int

The number of bits available in this integer type. Note that the integer representations are signed

val max_value : t

The largest representable integer

val min_value : t

The smallest representable integer

val (lsr) : t ‑> int ‑> t

Same as shift_right_logical

val shift_right_logical : t ‑> int ‑> t

shifts right, filling in with zeroes, which will not preserve the sign of the input

module O : Int_intf.Operators with type t := t

A sub-module designed to be opened to make working with ints more convenient.

module Overflow_exn : sig ... end

Unlike the usual operations, these never overflow, preferring instead to raise.

val of_int : int ‑> t
val to_int : t ‑> int option
val of_int32 : Int32.t ‑> t
val random : ?⁠state:Random.State.t ‑> t ‑> t

random ~state bound returns a random integer between 0 (inclusive) and bound (exclusive). bound must be greater than 0.

The default ~state is Random.State.default.

val random_incl : ?⁠state:Random.State.t ‑> t ‑> t ‑> t

random_incl ~state lo hi returns a random integer between lo (inclusive) and hi (inclusive). Raises if lo > hi.

The default ~state is Random.State.default.