Module `Base__Int64`

64-bit integers.

include Base__.Int_intf.S with type t = int64

module O : sig ... end: A sub-module designed to be opened to make working with ints more convenient.

val is_pow2 : t -> bool: is_pow2 x returns true iff x is a power of 2. is_pow2 raises if x <= 0.

val floor_log2 : t -> int: floor_log2 x returns the floor of log-base-2 of x, and raises if x <= 0.

val ceil_log2 : t -> int: ceil_log2 x returns the ceiling of log-base-2 of x, and raises if x <= 0.

val floor_pow2 : t -> t: floor_pow2 x returns the largest power of 2 that is less than or equal to x. The implementation may only be called for x > 0. Example: floor_pow2 17 = 16

val ceil_pow2 : t -> t: ceil_pow2 x returns the smallest power of 2 that is greater than or equal to x. The implementation may only be called for x > 0. Example: ceil_pow2 17 = 32

val shift_right_logical : t -> int -> t: Shifts right, filling in with zeroes, which will not preserve the sign of the input.

val (lsr) : t -> int -> t: Same as shift_right_logical.

val min_value : t: The smallest representable integer.

val max_value : t: The largest representable integer.

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

type t = int64

val hash_fold_t : Base.Hash.state -> t -> Base.Hash.state
val hash : t -> Base.Hash.hash_value
val t_of_sexp : Base.Sexp.t -> t
val sexp_of_t : t -> Base.Sexp.t

include Base.Floatable.S with type t := t

val of_float : float -> t
val to_float : t -> float

include Base.Intable.S with type t := t

val of_int_exn : int -> t
val to_int_exn : t -> int

include Base.Identifiable.S with type t := t

val hash_fold_t : Base.Hash.state -> t -> Base.Hash.state
val hash : t -> Base.Hash.hash_value
val t_of_sexp : Base.Sexp.t -> t
val sexp_of_t : t -> Base.Sexp.t
val of_string : string -> t
val to_string : t -> string
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
val min : t -> t -> t
val max : t -> t -> t
val ascending : t -> t -> int
val descending : t -> t -> int
val between : t -> low:t -> high:t -> bool
val clamp_exn : t -> min:t -> max:t -> t
val clamp : t -> min:t -> max:t -> t Base.Or_error.t

type comparator_witness

val comparator : (t, comparator_witness) Base.Comparator.comparator
val validate_lbound : min:t Base.Maybe_bound.t -> t Base.Validate.check
val validate_ubound : max:t Base.Maybe_bound.t -> t Base.Validate.check
val validate_bound : min:t Base.Maybe_bound.t -> max:t Base.Maybe_bound.t -> t Base.Validate.check
val pp : Base.Formatter.t -> t -> unit

include Base.Comparable.With_zero with type t := t

val validate_positive : t Base.Validate.check
val validate_non_negative : t Base.Validate.check
val validate_negative : t Base.Validate.check
val validate_non_positive : t Base.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

include Base__.Int_intf.Hexable with type t := t

module Hex : sig ... end

val to_string_hum : ?⁠delimiter:char -> t -> string: delimiter is an 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 (**) : t -> t -> t: Integer exponentiation

val neg : t -> t
val (~-) : 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 (/) : 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.

Other common functions

include Base__.Int_intf.Round with type t := t

val round : ?⁠dir:[ `Down | `Nearest | `Up | `Zero ] -> 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.

Successor and predecessor functions

val succ : t -> t
val pred : t -> t

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: These are identical to land, lor, etc. except they're not infix and have different names.

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 Caml.ref -> unit
val incr : t Caml.ref -> unit

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.

Conversion functions

val of_int : int -> t
val to_int : t -> int option
val of_int32 : int32 -> t
val to_int32 : t -> int32 option
val of_nativeint : nativeint -> t
val to_nativeint : t -> nativeint option
val of_int64 : t -> t

Truncating conversions

These functions return the least-significant bits of the input. In cases where optional conversions return Some x, truncating conversions return x.

val to_int_trunc : t -> int
val to_int32_trunc : t -> int32
val to_nativeint_trunc : t -> nativeint

Low-level float conversions

val bits_of_float : float -> t
val float_of_bits : t -> float