Module Int64_u

type t = Base.int64

Utilities for unboxed int64s. This module is mostly a copy of Base's Int64 module, but with much functionality missing because it can't yet be implemented for unboxed int64s or unboxed types generally.

It's part of the same family of libraries as `lib/float_u`, `lib/nativeint_u`, and `lib/int32_u`. They share similar project structures, conventions, and tests.

val globalize : t @ local -> t
include Ppx_quickcheck_runtime.Quickcheckable.S with type t := t
val quickcheck_generator : t Base_quickcheck.Generator.t
val quickcheck_observer : t Base_quickcheck.Observer.t
val quickcheck_shrinker : t Base_quickcheck.Shrinker.t
module Boxed = Base.Int64

These definitions are available. They're included from O below.

  external box : int64# -> (int64[@local_opt]) = "%box_int64"
  external unbox : (int64[@local_opt]) -> int64# = "%unbox_int64"

Synonyms for box and unbox.

val to_int64 : Base.int64 -> Base.int64 @@ portable
val of_int64 : Base.int64 -> Base.int64 @@ portable

Int_intf.S inlined

val of_float : Base.float -> t @@ portable
val to_float : t -> Base.float @@ portable

Inlined from Intable

val of_int_exn : Base.int -> t @@ portable
val to_int_exn : t -> Base.int @@ portable

Inlined from Identifiable

Inlined from Sexpable

val sexp_of_t : t -> Base.Sexp.t @@ portable
val t_of_sexp : Base.Sexp.t -> t @@ portable
val t_sexp_grammar : t Sexplib0.Sexp_grammar.t @@ portable

For bin_io

include Bin_prot.Binable.S__local with type t := t
include Bin_prot.Binable.S_only_functions__local with type t := t
include sig ... end
val bin_size_t : t Bin_prot.Size.sizer
val bin_write_t : t Bin_prot.Write.writer
val bin_read_t : t Bin_prot.Read.reader
val __bin_read_t__ : t Bin_prot.Read.vtag_reader

This function only needs implementation if t exposed to be a polymorphic variant. Despite what the type reads, this does *not* produce a function after reading; instead it takes the constructor tag (int) before reading and reads the rest of the variant t afterwards.

val bin_shape_t : Bin_prot.Shape.t
val bin_writer_t : t Bin_prot.Type_class.writer
val bin_reader_t : t Bin_prot.Type_class.reader

For hash

include Ppx_hash_lib.Hashable.S_any with type t := t
val hash_fold_t : t Ppx_hash_lib.hash_fold

From Typerep

val typerep_of_t : t Typerep_lib.Std.Typerep.t @@ portable

Inlined from Stringable

val of_string : Base.string -> t @@ portable
val to_string : t -> Base.string @@ portable
val equal : t -> t -> Base.bool
val compare : t -> t -> Base.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 @@ portable
val max : t -> t -> t @@ portable
val ascending : t -> t -> Base.int @@ portable

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

val descending : t -> t -> Base.int @@ portable
val between : t -> low:t -> high:t -> Base.bool @@ portable

between t ~low ~high means low <= t <= high

val clamp_exn : t -> min:t -> max:t -> t @@ portable

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_unchecked : t -> min:t -> max:t -> t @@ portable

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

Undefined result if not (min <= max).

Inlined from Pretty_printer

val pp : Base.Formatter.t -> t -> Base.unit @@ portable

Inlined from Comparable.With_zero

val is_positive : t -> Base.bool @@ portable
val is_non_negative : t -> Base.bool @@ portable
val is_negative : t -> Base.bool @@ portable
val is_non_positive : t -> Base.bool @@ portable
val sign : t -> Base.Sign.t @@ portable

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

val invariant : t -> Base.unit @@ portable

Inlined from Invariant.S

val to_string_hum : ?delimiter:Base.char -> t -> Base.string @@ portable

delimiter is an underscore by default.

Infix operators and constants

val one : Base.unit -> t @@ portable
val minus_one : Base.unit -> t @@ portable
val rem : t -> t -> t @@ portable

Other common functions

Inlined from Round

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. If the result overflows (too far positive or too far negative), round returns an incorrect result.

   | `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 @@ portable
val round_down : t -> to_multiple_of:t -> t @@ portable
val round_up : t -> to_multiple_of:t -> t @@ portable
val round_nearest : t -> to_multiple_of:t -> t @@ portable

Successor and predecessor functions

val succ : t -> t @@ portable
val pred : t -> t @@ portable

Exponentiation

val pow : t -> t -> t @@ portable

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 @@ portable

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

val bit_or : t -> t -> t @@ portable
val bit_xor : t -> t -> t @@ portable
val bit_not : t -> t @@ portable
val popcount : t -> t @@ portable

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 -> Base.int -> t @@ portable

Shifts left, filling in with zeroes.

val shift_right : t -> Base.int -> t @@ portable

Shifts right, preserving the sign of the input.

Increment and decrement functions for integer references

val of_int32_exn : Base.int32 -> t @@ portable
val to_int32_exn : t -> Base.int32 @@ portable
val of_int64_exn : Base.int64 -> t @@ portable
val of_nativeint_exn : Base.nativeint -> t @@ portable
val to_nativeint_exn : t -> Base.nativeint @@ portable
val of_float_unchecked : Base.float -> t @@ portable

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 : Base.int64 @@ portable

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

val max_value : Base.unit -> t @@ portable

The largest representable integer.

val min_value : Base.unit -> t @@ portable

The smallest representable integer.

val shift_right_logical : t -> Base.int -> t @@ portable

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

val ceil_pow2 : t -> t @@ portable

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 floor_pow2 : t -> t @@ portable

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_log2 : t -> t @@ portable

ceil_log2 x returns the ceiling of log-base-2 of x, and raises if x <= 0.

val floor_log2 : t -> t @@ portable

floor_log2 x returns the floor of log-base-2 of x, and raises if x <= 0.

val is_pow2 : t -> Base.bool @@ portable

is_pow2 x returns true iff x is a power of 2. is_pow2 raises if x <= 0.

val clz : t -> t @@ portable

Returns the number of leading zeros in the binary representation of the input, as an integer between 0 and one less than num_bits.

The results are unspecified for t = 0.

val ctz : t -> t @@ portable

Returns the number of trailing zeros in the binary representation of the input, as an integer between 0 and one less than num_bits.

The results are unspecified for t = 0.

val range : t -> f:(t -> Base.unit) @ local -> Base.unit @@ portable

range n ~f runs f i for 0 <= i < n. Analogous to python's for x in range(n).

val range_rev : t -> f:(t -> Base.unit) @ local -> Base.unit @@ portable

range_rev n ~f runs f i for 0 <= i < n, but in reverse. Analogous to python's for x in reversed(range(n)).

val for_loop : start_incl:t -> end_excl:t -> f:(t -> Base.unit) @ local -> Base.unit @@ portable

Runs f i for start_incl <= i < end_excl. "C for loop" semantics.

val for_loop_incl : start_incl:t -> end_incl:t -> f:(t -> Base.unit) @ local -> Base.unit @@ portable

Runs f i for start_incl <= i <= end_incl. "OCaml for loop" semantics, and generates less efficient code than for_loop.

module O : sig ... end

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

val (+) : t -> t -> t
val (-) : t -> t -> t
val (*) : t -> t -> t
val (/) : t -> t -> t
val (~-) : t -> t
val (**) : t -> t -> t

Integer exponentiation

val (=) : t -> t -> Base.bool
val (<>) : t -> t -> Base.bool
val (<) : t -> t -> Base.bool
val (>) : t -> t -> Base.bool
val (<=) : t -> t -> Base.bool
val (>=) : t -> t -> Base.bool
val (land) : t -> t -> t

Same as bit_and/or/xor/not

val (lor) : t -> t -> t
val (lxor) : t -> t -> t
val lnot : t -> t
val abs : t -> t

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

val neg : t -> t

Negation

val zero : Base.unit -> 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 -> Base.float

Float division of integers.

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

Same as shift_left

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

Same as shift_right.

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

Same as shift_right_logical.

val box : Base.int64 -> Base.int64
val unbox : Base.int64 -> Base.int64

Conversion functions

val of_int : Base.int -> t @@ portable
val of_int32 : Base.int32 -> t @@ portable
val to_int : t -> Base.int Base.option @@ portable
val to_int32 : t -> Base.int32 Base.option @@ portable
val of_nativeint : Base.nativeint -> t @@ portable
val to_nativeint : t -> Base.nativeint Base.option @@ portable
val of_bool : Base.bool -> t @@ portable

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 -> Base.int @@ portable
val to_int32_trunc : t -> Base.int32 @@ portable
val to_nativeint_trunc : t -> Base.nativeint @@ portable

Low-level float conversions

val bits_of_float : Base.float -> t @@ portable
val float_of_bits : t -> Base.float @@ portable

Byte- and bit-swap operations

See Int's byte swap section for a description of Base's approach to exposing byte swap primitives.

As of writing, these operations do not sign extend unnecessarily on 64 bit machines, unlike their int32 counterparts, and hence, are more performant. See the Int32 module for more details of the overhead entailed by the int32 byteswap functions.

val bswap16 : t -> t @@ portable
val bswap32 : t -> t @@ portable
val bswap48 : t -> t @@ portable
val bswap64 : t -> t @@ portable
val rev_bits : t -> t @@ portable

Reverses the bits.

val select : Base.bool -> t -> t -> t @@ portable

Branchless, as Bool.select.

Indexing into an array

module Array_index : sig ... end

An array of _ : bits64

module Array : sig ... end
module Stable : sig ... end
module Ref : sig ... end
module Hex_unsigned : sig ... end

Prints -#0x1L as 0xffffffffffffffff, not -0x1.

module Option : sig ... end

This allows us to represent t option without allocating for Some _ tags. Some (min_value ()) is not representable because its representation would overlap with the representation of None.